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%   email = "tex-fonts@@tug.org",
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% Standard Encoding + ISO Latin 1 + extra characters from Lucida.
% 
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% 
% (1) the Windows ANSI characters are almost all in their Windows ANSI
% positions, because some Windows users cannot easily reencode the
% fonts, and it makes no difference on other systems. The only Windows
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% available.
% 
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Fu(,)h(and)f(let)649 621 y Fq(\030)g Fu(=)c(exp\(2)p
Fq(\031)s(i)14 b(p=q)s Fu(\);)262 b Fq(\025)23 b Fu(=)g
Fq(\030)g Fu(+)18 b Fq(\030)1876 587 y Fp(\000)p Fo(1)1988
621 y Fu(=)23 b(2)14 b(cos)n(\(2)p Fq(\031)j(p=q)s Fu(\);)263
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2349 1821 a(12)2442 1764 y Fq(:)808 b Fu(\(3\))639 1970
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2269 y(|)f(and)g(related)g(sets,)h(to)f(b)r(e)h(describ)r(ed)f(in)h
(Section)f(2.)45 b(Computation)30 b(with)h(algebraic)515
2368 y(n)n(um)n(b)r(ers)22 b(is)h(exact,)h(in)n(v)n(olving)d(in)n
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(umerical\))515 2468 y(represen)n(tation)j(of)h Fq(\025)h
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2667 y Fs(\000)p Fu(1)25 b Fq(<)g(\023)h Fs(\024)f Fu(0)k(\(the)h
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2915 y Fo(2)2615 2949 y Fq(\024;)14 b(\023)23 b Fs(2)g
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4644 y(W)-7 b(e)28 b(note)f(some)g(commonly)g(used)h(round-o\013)e(sc)n
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b Fs(b)p Fq(x)p Fs(c)279 b Fu(rounding)27 b(do)n(wn)739
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b Fu(rounding)27 b(up)771 5112 y(1)198 b Fs(\000)p Fu(1)p
Fq(=)p Fu(2)164 b Fs(b)p Fq(x)19 b Fu(+)f(1)p Fq(=)p
Fu(2)p Fs(c)164 b Fu(symmetric)28 b(rounding,)f(with)h
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(and)g(a)g(\()2535 -81 y(~)2516 -60 y Fq(C)6 b(;)2626
-81 y Fu(~)2618 -60 y Ft(L)q Fq(;)2722 -81 y Fu(~)2713
-60 y(\012)o(\))23 b(torus)f(map)g(\010)g(|)515 40 y(in)n(v)-5
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y(\012)416 b(\010)23 b(=)f Fs(E)k(\016)18 b Fu(\011)g
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b Fu(\(7\))515 494 y(W)-7 b(e)28 b(call)f(the)h(systems)f
Fm(dual)37 b Fu(of)27 b(eac)n(h)g(other,)g(if)h(the)g(em)n(b)r(edding)g
(is)g(uniform,)f(and)h(if)g(the)515 594 y(conjugate)j(of)h(\011)f(on)h
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2416 573 y(~)2407 594 y(\012.)50 b(In)32 b(the)g(presen)n(t)f(con)n
(text,)515 693 y(uniformit)n(y)f(means)h(that)g(for)f(ev)n(ery)g(con)n
(v)n(ex)f(p)r(olyhedron)h(\005)e Fs(\022)g Fu(\012,)k(the)f(densit)n(y)
g(of)g(the)515 793 y(set)22 b(of)f(lattice)h(p)r(oin)n(ts)g
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h(\005.)515 892 y(The)28 b(pro)r(cess)f(of)i(em)n(b)r(edding,)f(whereb)
n(y)g(one)g(constructs)f(a)h(dense)g(and)h(uniform)f(image)515
992 y(of)g(a)h(lattice)g(in)g(a)f(compact)g(set,)h(is)g(referred)e(to)i
(as)f Fm(lo)l(c)l(alization,)j Fu(due)e(to)g(its)g(structural)515
1092 y(analogy)e(with)i(em)n(b)r(edding)h(algebraic)d(n)n(um)n(b)r(er)h
(rings)g(in)i(the)f Fq(p)p Fu(-adics,)f(used)h(in)h(related)515
1191 y(round-o\013)25 b(maps)h([5,)g(24)o(].)37 b(The)26
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(greater)515 1291 y(than)41 b(that)g(of)g(the)g(round-o\013)f(map.)76
b(Ho)n(w)n(ev)n(er,)42 b(when)f(the)g(parameter)f Fq(\025)h
Fu(in)g(\(2\))g(is)515 1391 y(quadratic,)29 b(the)h(dimensionalit)n(y)f
(is)g(the)h(same,)g(and)f(dualit)n(y)h(tak)n(es)e(on)h(a)h(simple)f
(form,)515 1490 y(as)e(detailed)g(in)h(the)g(follo)n(wing)515
1668 y Ft(Theorem)i(1)41 b Fm(L)l(et)34 b Fu(\011)h Fm(b)l(e)f(the)h
Fu(\()p Fq(C)q(;)14 b Ft(L)p Fq(;)g Fu(\012\))36 b Fm(lattic)l(e)f(map)
g(with)g(p)l(ar)l(ameters)g(given)g(by)g(\(1\),)515 1767
y(\(2\))h(and)g(\(4\).)56 b(If)36 b Fq(\025)h Fm(is)f(a)g(r)l(o)l(ot)f
(of)i(a)f(quadr)l(atic)g(p)l(olynomial,)k(then)c(the)f(mapping)i
Fu(\011)f Fm(is)515 1867 y(dual)30 b(to)g(the)g(torus)f(map)h
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b Fm(,)31 b(the)f(same)g(o\013-set,)g(and)g(matrix)1638
2072 y Fu(~)1619 2093 y Fq(C)f Fu(=)1795 1976 y Fn(\022)1901
2024 y Fu(~)1898 2046 y Fq(\025)83 b Fs(\000)p Fu(1)1901
2146 y(1)118 b(0)2177 1976 y Fn(\023)2252 2093 y Fq(;)998
b Fu(\(8\))515 2339 y Fm(wher)l(e)753 2317 y Fu(~)749
2339 y Fq(\025)30 b Fm(is)g(the)g(algebr)l(aic)i(c)l(onjugate)e(of)h
Fq(\025)p Fm(.)639 2439 y(With)f(the)g(choic)l(e)i Fq(\024)23
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Fq(x;)14 b(y)s Fu(\))24 b(=)f(\()p Fq(x)c Fs(\000)f Fq(m)1666
2628 y Fo(0)1703 2616 y Fq(\034)5 b(;)14 b(y)21 b Fs(\000)d
Fq(m)1999 2628 y Fo(1)2037 2616 y Fq(\034)9 b Fu(\))333
b(\()p Fq(x;)14 b(y)s Fu(\))23 b Fs(2)h Ft(Z)2799 2582
y Fo(2)515 2793 y Fm(wher)l(e)30 b Fq(m)822 2805 y Fo(0)859
2793 y Fq(;)14 b(m)969 2805 y Fo(1)1029 2793 y Fs(2)24
b Ft(Z)30 b Fm(ar)l(e)g(uniquely)g(determine)l(d)g(by)h(the)e(c)l
(ondition)i Fs(E)7 b Fu(\()p Fq(x;)14 b(y)s Fu(\))24
b Fs(2)g Fu(\()p Fq(\034)9 b(I)e Fu(\))3200 2763 y Fo(2)3238
2793 y Fm(.)639 2970 y Fu(One)39 b(v)n(eri\014es)g(that)g(for)g(the)h
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3070 y(square)31 b(\012)h(are)g(lines)g(of)h(discon)n(tin)n(uit)n(y)f
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3170 y(union)27 b(of)h(those)f(sides.)37 b(The)27 b Fm(disc)l
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3409 y Fq(W)35 b Fu(=)1861 3305 y Fp(1)1848 3330 y Fn([)1797
3504 y Fr(t)p Fo(=)p Fp(\0001)2005 3409 y Fu(\010)2065
3375 y Fr(t)2094 3409 y Fu(\()p Fq(W)2204 3421 y Fo(0)2242
3409 y Fu(\))p Fq(:)976 b Fu(\(9\))515 3663 y(The)42
b(set)g Fq(W)12 b Fu(,)46 b(whic)n(h)d(mimics)f(the)h(w)n(eb)f(of)g(in)
n(tersecting)f(separatrices)g(in)h(nonlinear)515 3763
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(3)h(for)f(the)h(case)e Fq(p=q)38 b Fu(=)c(5)p Fq(=)p
Fu(12)n(.)58 b(The)515 3862 y(complemen)n(tary)35 b(set)h(\005)h(=)g
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3974 y Fr(i)1449 3962 y Fu(,)i(with)g(at)f(most)h(2)p
Fq(q)i Fu(sides.)639 4062 y(In)f(Ref.)f([19)o(],)h(a)e(complete)h
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n(en)515 4161 y(for)36 b Fq(p=q)41 b Fu(=)d(1)p Fq(=)p
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4093 42 4 v 68 x Fu(5)24 b Fs(\000)h Fu(1\))p Fq(=)p
Fu(2\),)38 b(and)f Fq(b)h Fu(=)g(0)f(\(rounding)f(do)n(wn)h(to)g(the)g
(nearest)515 4261 y(in)n(teger,)32 b(i.e.,)i(\015o)r(or)d(function\).)
51 b(By)32 b(exploiting)f(the)i(dualit)n(y)f(with)g(a)g(torus)f(map,)j
(it)e(is)515 4361 y(pro)n(v)n(en)c(that)j(all)f(orbits)f(are)h(p)r
(erio)r(dic,)g(and)h(fall)f(in)n(to)g(t)n(w)n(o)f(scaling)h(families.)
44 b(F)-7 b(or)30 b(eac)n(h)515 4460 y(p)r(erio)r(d,)25
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(uniformly)g(distributed)g(among)515 4759 y(the)e(p)r(olygons)f(\005)
1061 4771 y Fr(i)1115 4759 y Fu(in)1218 4738 y(~)1209
4759 y(\012,)i(in)g(suc)n(h)f(a)f(w)n(a)n(y)g(that)i(their)f(densit)n
(y)g(in)h Ft(L)g Fu(b)r(ecomes)f(the)g(area)f(of)515
4859 y(these)j(p)r(olygons.)36 b(As)27 b(one)g(progresses)d(from)j(one)
g(lev)n(el)g(of)g(the)h(scaling)e(sequence)h(to)g(the)515
4958 y(next,)i(the)g(p)r(erio)r(d)f(scales)g(asymptotically)f(b)n(y)i
(a)f(factor)f(4,)i(while)g(the)g(area)e(of)h(the)h(dual)515
5058 y(p)r(olygon)d(is)i(reduced)f(exactly)g(b)n(y)g
Fq(\025)1670 5028 y Fo(2)1708 5058 y Fu(.)639 5158 y(T)-7
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Fq(\025)p Fu(,)i(w)n(e)f(m)n(ust)515 5257 y(deal)36 b(e\013ectiv)n(ely)
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n(o)f(scaling)f(sequences)h(is)g(greater)f(than)515 139
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(to)f(pro)n(v)n(e)f(rigorously)f(the)j(existence)f(and)515
339 y(completeness)18 b(of)h(scaling)f(sequences)g(of)h(p)r(erio)r(dic)
g(orbits)f(in)h(the)h(full)f(set)g(of)g(torus/round-)515
438 y(o\013)35 b(maps)g(for)g(whic)n(h)h Fq(\025)f Fu(is)h(a)f
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538 y(\(rounding)34 b(do)n(wn)g(con)n(v)n(en)n(tion\).)56
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1118 y(plus)h(a)h(\014nite)f(numb)l(er)g(of)h(exc)l(eptional)h(op)l(en)
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1218 y(The)h(sc)l(aling)g(c)l(onstant)e(of)i(e)l(ach)g(se)l(quenc)l(e)e
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1318 y(inte)l(gers)d(of)i Ft(Q)p Fu(\()p Fq(\025)p Fu(\))p
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1599 y(rotation)c(n)n(um)n(b)r(er)g Fq(p=q)s Fu(,)h(the)h(n)n(um)n(b)r
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(domains,)f(and)h(the)515 1799 y(parameters)c(asso)r(ciated)h(to)h(suc)
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Fq(!)k Fu(and)d(the)515 1898 y(limit)i(p)r(oin)n(t)g
Fq(\020)980 1868 y Fp(\003)1019 1898 y Fu(.)49 b(The)31
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b(I)r(I)h(\(Section)g(2\).)1772 2197 y FB(T)p Fw(ABLE)33
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2503 a Fq(p=q)p 1168 2533 V 107 w Fu(#)p Fq(E)p 1386
2533 V 88 w Fu(#)p Fq(S)p 1594 2533 V 197 w(!)p 1949
2533 V 218 w(\021)2060 2473 y Fr(k)p 2165 2533 V 2530
2503 a Fq(\020)2572 2473 y Fp(\003)p 2972 2533 V 921
2536 2053 4 v 921 2553 V 919 2652 4 100 v 983 2622 a
Fu(1)p Fq(=)p Fu(5)p 1168 2652 V 149 w(3)p 1386 2652
V 171 w(2)p 1594 2652 V 166 w(2)18 b Fs(\000)g Fq(\034)p
1949 2652 V 134 w(\021)2036 2592 y Fp(\000)p Fo(2)p 2165
2652 V 2478 2622 a Fu(\(0)p Fq(;)c Fu(0\))p 2972 2652
V 921 2655 2053 4 v 919 2755 4 100 v 983 2725 a(2)p Fq(=)p
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2755 V 166 w(1)k(+)g Fq(\034)p 1949 2755 V 134 w(\021)2036
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4 100 v 983 2828 a(1)p Fq(=)p Fu(8)p 1168 2858 V 149
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2961 4 100 v 983 2931 a(3)p Fq(=)p Fu(8)p 1168 2961 V
149 w(0)p 1386 2961 V 171 w(2)p 1594 2961 V 145 w(3)18
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3167 4 100 v 962 3137 a(3)p Fq(=)p Fu(10)p 1168 3167
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3373 4 100 v 962 3343 a(5)p Fq(=)p Fu(12)p 1168 3373
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2972 3472 V 921 3476 2053 4 v 639 3732 a(Theorems)35
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Ft(Corollary)k(1.1)41 b Fm(L)l(et)29 b Fu(\011)23 b(:)g
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(dual)g(lattice)515 4958 y Ft(L)p Fu(,)g(since)f(they)h(ma)n(y)e(not)i
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5058 y(con)n(v)n(ex)g(p)r(olygons)g(of)i(lo)n(w)n(er)e(dimension,)h
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1534 y(classes.)75 b(Their)40 b(dimension)h(is)g(giv)n(en)f(b)n(y)g
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(dynamics)f(and)h(m)n(ultifractal)f(prop)r(erties)515
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3061 y Fu(inequalit)n(y)d(among)g(the)i(de\014ning)f(relations)e(of)i
Fq(D)r Fu(.)42 b(F)-7 b(or)28 b(example,)h(if)g Fq(q)j
Fu(is)d(ev)n(en)g(and)g Fq(D)3356 3031 y Fp(0)515 3161
y Fu(is)j(a)g(p)r(olygon)f(with)i(an)f(included)g(edge)g(of)g(t)n(yp)r
(e)h(\()p Fq(m)2235 3116 y Fr(s)2266 3124 y Fi(j)2235
3184 y Fr(j)2301 3161 y Fq(;)14 b(b)2374 3173 y Fr(j)2409
3161 y Fu(\),)34 b(then)e(one)g(w)n(ould)g(lo)r(ok)g(for)515
3270 y(an)27 b(edge)g(of)h Fq(D)h Fu(of)f(t)n(yp)r(e)g(\(\()p
Fq(m)1431 3282 y Fr(j)1485 3270 y Fu(+)18 b Fq(q)s(=)p
Fu(2\))1724 3240 y Fp(\000)p Fr(s)1807 3248 y Fi(j)1841
3270 y Fq(;)c Fs(\000)p Fq(b)1979 3282 y Fr(j)2014 3270
y Fu(\).)639 3370 y(The)32 b Fm(ar)l(e)l(a)39 b Fs(A)p
Fu(\()p Fq(D)r Fu(\))33 b(of)e(a)h(domain)f Fq(D)j Fu(with)e
Fq(N)39 b(>)30 b Fu(2)h(v)n(ertices)g(is)g(computed)h(b)n(y)g(trian-)
515 3469 y(gulation.)k(Sp)r(eci\014cally)-7 b(,)27 b(w)n(e)f(\014rst)h
(\014nd)g(the)h(v)n(ertices)d(of)i Fq(D)i Fu(and)e(arrange)e(them)i(in)
g(cyclic)515 3569 y(order.)33 b(The)21 b(are)f(of)h(the)g(triangle)f
(with)i(v)n(ertices)e Fq(V)2105 3581 y Fo(0)2143 3569
y Fq(;)14 b(V)2228 3581 y Fr(i)2255 3569 y Fq(;)g(V)2340
3581 y Fr(i)p Fo(+1)2474 3569 y Fu(is)20 b(one-half)h(the)g(magnitude)
515 3668 y(of)26 b(the)i(v)n(ector)d(pro)r(duct)i(of)f
Fq(V)1451 3680 y Fr(i)1496 3668 y Fs(\000)16 b Fq(V)1625
3680 y Fo(0)1690 3668 y Fu(with)27 b Fq(V)1926 3680 y
Fr(i)p Fo(+1)2055 3668 y Fs(\000)16 b Fq(V)2184 3680
y Fo(0)2222 3668 y Fu(.)36 b(Summing)28 b(o)n(v)n(er)d
Fq(i)h Fu(giv)n(es)f(the)j(area)515 3768 y(as)f(an)g(algebraic)f(n)n
(um)n(b)r(er)h(in)h Ft(Q)p Fu(\()p Fq(\025)p Fu(\).)515
3999 y Fc(3.3)112 b(Geometric)36 b(transformations)515
4153 y Fu(W)-7 b(e)27 b(de\014ne)g(\(frame-dep)r(enden)n(t\))h(op)r
(erators)d(whic)n(h)i(rotate,)f(translate,)g(and)h(rescale)f(do-)515
4252 y(mains.)639 4352 y(The)i(\(generalized\))f Fm(r)l(otation)h
Fu(of)f(a)g(domain)h(is)f(de\014ned)h(as)1447 4528 y
Fs(R)14 b Fq(D)r Fu(\()p Ft(m)p Fq(;)g Ft(s)p Fq(;)g
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Fp(0)2227 4528 y Fq(;)14 b Ft(s)p Fq(;)g Ft(b)p Fu(\))p
Fq(;)784 b Fu(\(25\))515 4705 y(where)854 4881 y Fq(m)927
4847 y Fp(0)927 4902 y Fr(j)985 4881 y Fs(2)23 b(f)p
Fu(0)p Fq(;)14 b(:)g(:)g(:)f(;)h(q)21 b Fs(\000)d Fu(1)p
Fs(g)p Fq(;)179 b(m)1831 4847 y Fp(0)1831 4902 y Fr(j)1889
4881 y Fs(\021)23 b Fq(m)2050 4893 y Fr(j)2103 4881 y
Fs(\000)18 b Fu(1)p Fq(;)180 b(j)28 b Fu(=)22 b(0)p Fq(;)14
b(:)g(:)g(:)g(;)g(B)22 b Fs(\000)c Fu(1)p Fq(:)515 5058
y Fu(It)39 b(is)g(easy)f(to)h(v)n(erify)g(that)g(the)h(righ)n(t)e(hand)
h(side)g(of)g(\(25\))g(is)g(the)h(domain)e(obtained)515
5158 y(b)n(y)31 b(applying)f(the)i(linear)e(transformation)g(with)i
(matrix)2412 5137 y(~)2393 5158 y Fq(C)38 b Fu(to)31
b(the)g(b)r(oundary)g(lines)g(of)515 5257 y Fq(D)r Fu(\()p
Ft(m)p Fq(;)14 b Ft(s)p Fq(;)g Ft(b)p Fu(\).)1926 5506
y(9)p eop
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10 9 bop 639 -60 a Fu(F)-7 b(or)27 b Fq(\016)f Fs(2)e(M)1030
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123 y Fs(T)1493 135 y Fr(\016)1529 123 y Fq(D)r Fu(\()p
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Fq(D)r Fu(\()p Ft(m)p Fq(;)14 b Ft(s)p Fq(;)g Ft(b)2369
89 y Fp(0)2391 123 y Fu(\))p Fq(;)785 b Fu(\(26\))515
306 y(where)1511 405 y Fq(b)1547 371 y Fp(0)1547 426
y Fr(j)1605 405 y Fu(=)23 b Fq(b)1729 417 y Fr(j)1782
405 y Fu(+)18 b Fq(u)1913 371 y Fo(\()p Fr(m)1998 379
y Fi(j)2028 371 y Fo(\))2077 405 y Fs(\001)g Fq(\016)26
b Fs(2)e(M)p Fq(:)848 b Fu(\(27\))515 555 y(One)30 b(readily)g(pro)n(v)
n(es)e(that)j(the)g(righ)n(t-hand)f(side)g(of)h(\(26\))f(is)h(the)g
(domain)f(obtained)g(b)n(y)515 654 y(translating)c Fq(D)r
Fu(\()p Ft(m)p Fq(;)14 b Ft(s)p Fq(;)g Ft(b)p Fu(\))26
b(b)n(y)i(the)g(v)n(ector)e Fq(\016)s Fu(.)639 754 y(Finally)-7
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Fm(r)l(esc)l(aling)g Fu(of)g(a)f(domain)g(b)n(y)1424
936 y Fs(S)1474 948 y Fr(!)1522 936 y Fq(D)r Fu(\()p
Ft(m)p Fq(;)14 b Ft(s)p Fq(;)g Ft(b)p Fu(\))22 b(=)h
Fq(D)r Fu(\()p Ft(m)p Fq(;)14 b Ft(s)p Fq(;)g(!)s Ft(b)p
Fu(\))p Fq(:)759 b Fu(\(28\))515 1119 y(It)28 b(is)f(easy)g(to)h(sho)n
(w)f(that)h(the)g(righ)n(t-hand)e(side)i(of)g(\(28\))f(is)h(the)g
(domain)f(obtained)g(from)515 1219 y Fq(D)r Fu(\()p Ft(m)p
Fq(;)14 b Ft(s)p Fq(;)g Ft(b)p Fu(\))20 b(b)n(y)h(rescaling)e(all)i(co)
r(ordinates)f(b)n(y)h(a)g(factor)f Fq(!)s Fu(.)35 b(Note)21
b(that)h Fq(!)j Fs(2)f Ft(Z)p Fu([)p Fq(\025)p Fu(],)f
Fq(b)g Fs(2)g(M)515 1318 y Fu(implies)28 b Fq(!)s(b)22
b Fs(2)h(M)28 b Fu(\(cf.)g(commen)n(ts)f(follo)n(wing)g(equation)g
(\(14\)\).)639 1418 y(F)-7 b(or)39 b Fq(!)44 b Fs(2)e
Ft(Z)p Fu([)p Fq(\025)p Fu(])e(and)f Fq(\016)45 b Fs(2)d(M)1637
1388 y Fo(2)1674 1418 y Fu(,)g(one)c(v)n(eri\014es,)j(from)d(the)h(ab)r
(o)n(v)n(e)f(de\014nitions,)k(the)515 1518 y(comm)n(utation)27
b(form)n(ulae)f(for)h(domain)h(op)r(erators)1154 1700
y Fs(R)19 b(\016)f(S)1353 1712 y Fr(!)1424 1700 y Fu(=)23
b Fs(S)1562 1712 y Fr(!)1629 1700 y Fs(\016)18 b(R)p
Fq(;)263 b Fs(T)2090 1712 y Fr(!)r(\016)2189 1700 y Fs(\016)18
b(S)2299 1712 y Fr(!)2370 1700 y Fu(=)23 b Fs(S)2508
1712 y Fr(!)2575 1700 y Fs(\016)18 b(T)2680 1712 y Fr(\016)2716
1700 y Fq(:)492 b Fu(\(29\))515 1883 y(F)-7 b(urthermore,)26
b(for)h(all)h(domains)f Fq(D)1659 1895 y Fo(1)1723 1883
y Fu(and)h Fq(D)1954 1895 y Fo(2)1991 1883 y Fu(,)f(and)h
Fq(!)e Fs(2)d Ft(Z)p Fu([)p Fq(\025)p Fu(],)29 b(w)n(e)e(ha)n(v)n(e)
1344 2066 y Fq(D)1413 2078 y Fo(1)1473 2066 y Fs(\032)22
b Fq(D)1629 2078 y Fo(2)1772 2066 y Fs(\()-14 b(\))107
b(S)2081 2078 y Fr(!)2129 2066 y Fq(D)2198 2078 y Fo(1)2258
2066 y Fs(\032)23 b(S)2396 2078 y Fr(!)2444 2066 y Fq(D)2513
2078 y Fo(2)515 2248 y Fu(and)k(the)h(scaling)f(of)g(areas)1548
2348 y Fs(A)p Fu(\()p Fs(S)1696 2360 y Fr(!)1745 2348
y Fq(D)1814 2360 y Fo(1)1851 2348 y Fu(\))c(=)g Fq(!)2049
2314 y Fo(2)2086 2348 y Fs(A)p Fu(\()p Fq(D)2253 2360
y Fo(1)2290 2348 y Fu(\))p Fq(:)886 b Fu(\(30\))639 2497
y(The)38 b(action)g(of)g(a)f(torus)h(map)g(\010)g(amoun)n(ts)f(to)h(a)g
(generalized)e(rotation)h(follo)n(w)n(ed)515 2597 y(b)n(y)f(a)g
(lattice)h(translation.)63 b(The)37 b(set)g(\012)f(|)h(itself)g(a)f
(domain)h(|)f(is)h(partitioned)f(in)n(to)515 2697 y(sub-domains)25
b(\012)1054 2709 y Fr(j)1089 2697 y Fu(,)i(b)n(y)e(taking)h(a)g(single)
g(pre-image)e(of)i(the)h(discon)n(tin)n(uit)n(y)f(set)g
Fq(W)3120 2709 y Fo(0)3158 2697 y Fu(.)36 b(This)515
2796 y(partition)d(will)g(b)r(e)h(referred)e(to)h(as)g(the)h
Fm(gener)l(ating)h(p)l(artition.)55 b Fu(On)33 b(eac)n(h)g(sub-domain)
515 2896 y(\012)575 2908 y Fr(j)610 2896 y Fu(,)24 b(the)g(action)f(of)
g(\010,)i(is)e(expressed)f(in)i(terms)f(of)g(the)h(domain)f(op)r
(erators)f(de\014ned)h(ab)r(o)n(v)n(e)515 2995 y(as)k(follo)n(ws)1195
3095 y(\010\(\012)1347 3107 y Fr(j)1383 3095 y Fu(\))c(=)g
Fs(T)1571 3115 y Fr(\016)1603 3095 y Fk(\012)1601 3136
y Fi(j)1670 3095 y Fs(\016)18 b(R)p Fu(\012)1860 3107
y Fr(j)1895 3095 y Fq(;)263 b(\016)2221 3061 y Fo(\012)2218
3116 y Fr(j)2295 3095 y Fu(=)23 b(\(0)p Fq(;)14 b Fs(\000)p
Fq(j)5 b(\034)k Fu(\))p Fq(;)533 b Fu(\(31\))515 3272
y(where)26 b Fq(\016)794 3242 y Fo(\012)791 3293 y Fr(j)869
3272 y Fs(2)d(M)1047 3242 y Fo(2)1112 3272 y Fu(is)k(determined)g
(uniquely)g(b)n(y)g(the)h(condition)f(\010\(\012)2738
3284 y Fr(j)2773 3272 y Fu(\))c Fs(\032)g Fu(\012.)37
b(It)27 b(is)g(clear)515 3383 y(that)35 b(for)f(a)g(giv)n(en)g(map,)i
Fq(\016)1392 3353 y Fo(\012)1389 3404 y Fr(j)1478 3383
y Fu(can)f(assume)e(only)i(\014nitely)g(man)n(y)f(v)-5
b(alues.)57 b(The)35 b(b)r(ounds)515 3482 y(de\014ning)27
b(the)g(elemen)n(ts)g(of)g(the)g(generating)e(partition)i(b)r(elong)f
(to)h(the)g(mo)r(dule)g Fs(M)p Fu(,)g(and)515 3582 y(remain)c(in)i
Fs(M)e Fu(under)h(the)h(action)e(of)h(domain)g(op)r(erators.)34
b(Hence)24 b(the)h(discon)n(tin)n(uit)n(y)e(set)515 3682
y(is)k(describ)r(ed)h(en)n(tirely)f(b)n(y)g(algebraic)f(n)n(um)n(b)r
(ers)h(in)h Fs(M)p Fu(.)639 3781 y(Our)34 b(discussion)g(of)h(scaling)e
(in)i(the)g(next)g(section)f(will)h(in)n(v)n(olv)n(e)e(a)h(shift)i(of)e
(origin,)515 3881 y(from)28 b(\(0)p Fq(;)14 b Fu(0\))28
b(to)g(some)f(p)r(oin)n(t)i Fq(\020)1489 3893 y Fp(\003)1552
3881 y Fs(2)24 b(M)1731 3851 y Fo(2)1768 3881 y Fu(.)39
b(T)-7 b(o)28 b(giv)n(e)f(frame-indep)r(enden)n(t)i(meaning)f(to)g(the)
515 3980 y(dynamical)f(map)g(\010,)h(w)n(e)f(represen)n(t)f(it)j(as)d
Fs(T)1919 3992 y Fr(\016)1975 3980 y Fs(\016)18 b(R)p
Fu(,)28 b(with)1593 4163 y Fq(\016)e Fu(=)d Fq(\016)1781
4175 y Fo(0)1836 4163 y Fu(+)18 b(\()p Fs(R)h(\000)f
Ft(1)p Fu(\))p Fq(\020)2239 4175 y Fp(\003)2278 4163
y Fq(;)515 4346 y Fu(in)28 b(the)g(co)r(ordinates)e(relativ)n(e)g(to)i
(the)g(p)r(oin)n(t)f Fq(\020)1988 4358 y Fp(\003)2027
4346 y Fu(.)639 4445 y(In)j(later)f(sections,)g(w)n(e)g(will)g(con)n
(tin)n(ue)g(to)h(use)f(the)h(notation)e Fq(D)r Fu(\()p
Ft(m)p Fq(;)14 b Ft(s)p Fq(;)g Ft(b)p Fu(\))29 b(to)g(sp)r(ecify)515
4545 y(domain)19 b(b)r(oundaries)g(in)h(a)f(translated)f(frame)i(of)f
(reference.)34 b(It)19 b(is)h(easy)f(to)g(see)g(that,)j(when)515
4645 y(the)28 b(origin)f(is)h(shifted)h(from)f(\(0)p
Fq(;)14 b Fu(0\))28 b(to)g Fq(\020)1797 4657 y Fp(\003)1835
4645 y Fu(,)h(the)f(b)r(ound)h Fq(b)2323 4657 y Fr(j)2385
4645 y Fu(is)f(replaced)g(b)n(y)g Fq(b)2950 4657 y Fr(j)3003
4645 y Fs(\000)18 b Fq(u)3134 4614 y Fo(\()p Fr(j)s Fo(\))3240
4645 y Fs(\001)g Fq(\020)3317 4657 y Fp(\003)3356 4645
y Fu(,)515 4744 y(with)28 b Ft(m)e Fu(and)i Ft(s)f Fu(unc)n(hanged.)
1905 5506 y(10)p eop
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11 10 bop 515 -60 a Fv(4)134 b(Return)46 b(maps)f(and)f(scaling)i
(domains)515 122 y Fu(W)-7 b(e)25 b(in)n(tro)r(duce)g(the)g(concepts)g
(of)g Fm(r)l(eturn)h(map)g Fu(and)f Fm(sc)l(aling)j(domain)p
Fu(,)f(whic)n(h)e(are)f(cen)n(tral)515 222 y(to)j(our)g(pro)r(of)g(of)h
(Theorem)e(2.)515 321 y Ft(Def.)40 b Fu(\()p Fb(return)29
b(map)g(and)f(return)h(time)p Fu(\))59 b(Let)29 b Fq(D)i
Fu(b)r(e)e(a)f(domain,)h(partitioned)g(in)n(to)f(sub-)515
421 y(domains)22 b Fq(D)907 433 y Fr(j)942 421 y Fu(,)i(eac)n(h)e(con)n
(tained)g(in)h(some)f(\012)1897 433 y Fr(i)1925 421 y
Fu(,)i(with)f(the)g(prop)r(ert)n(y)f(that)h(for)f(eac)n(h)g
Fq(j)5 b Fu(,)24 b(there)515 521 y(exists)j(a)g(p)r(ositiv)n(e)g(in)n
(teger)g Fq(t)1425 533 y Fr(j)1488 521 y Fu(|)g(the)h
Fm(r)l(eturn)h(time)34 b Fu(for)27 b Fq(D)2383 533 y
Fr(j)2445 521 y Fu(|)h(suc)n(h)f(that)1175 717 y Fq(\032)1218
729 y Fr(j)1253 717 y Fu(\()p Fq(D)1354 729 y Fr(j)1389
717 y Fu(\))1445 669 y Fo(def)1458 717 y Fu(=)36 b(\010)1619
682 y Fr(t)1644 690 y Fi(j)1679 717 y Fu(\()p Fq(D)1780
729 y Fr(j)1815 717 y Fu(\))24 b Fs(\032)e Fq(D)r(;)263
b(j)28 b Fu(=)23 b(0)p Fq(;)14 b Fu(1)p Fq(;)g(:)g(:)g(:)515
884 y Fu(and,)39 b(for)d(all)g(p)r(ositiv)n(e)g Fq(t)j(<)e(t)1488
896 y Fr(j)1523 884 y Fu(,)j(\010)1646 854 y Fr(t)1675
884 y Fu(\()p Fq(D)1776 896 y Fr(j)1811 884 y Fu(\))d(is)f(a)h
(sub-domain)f(of)g(one)h(of)f(the)h(\012)3088 896 y Fr(i)3153
884 y Fu(and)f(is)515 984 y(disjoin)n(t)31 b(from)g Fq(D)r
Fu(.)47 b(The)31 b(discon)n(tin)n(uous)f(map)h(on)g Fq(D)i
Fu(de\014ned)f(b)n(y)e(the)i Fq(\032)2857 996 y Fr(j)2923
984 y Fu(is)f(the)g Fm(r)l(eturn)515 1084 y(map)d Fu(on)f
Fq(D)r Fu(.)639 1271 y(The)j(ab)r(o)n(v)n(e)d(de\014nition)j(ensures)e
(that)i Fq(t)1924 1283 y Fr(j)1988 1271 y Fu(is)f(the)h(\014rst)f
(return)f(time)i(to)f Fq(D)r Fu(,)h(and)f(that)515 1371
y(the)35 b(torus)g(map)g(\010)h(is)f(itself)h(a)f(return)f(map)i(for)e
(the)i(domain)f(\012.)60 b(In)36 b(particular,)g(the)515
1470 y(domain)23 b(\012)h(has)g(\010)g(as)f(its)h(return)g(map,)g(with)
h(asso)r(ciated)d(sub-domains)h(\012)2898 1482 y Fr(j)2933
1470 y Fu(,)i(unit)g(return)515 1570 y(times,)j(and)f(translation)f(v)n
(ectors)h Fq(\016)1661 1582 y Fr(j)1723 1570 y Fu(giv)n(en)g(in)h
(\(31\).)639 1669 y(Thanks)f(to)h(the)g(iden)n(tit)n(y)f
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b(w)n(e)f(ha)n(v)n(e)f(the)i(follo)n(wing)f(useful)h(result.)515
1837 y Ft(Lemma)h(4.1)41 b Fm(The)c(r)l(eturn)e(map)i
Fq(\032)f Fm(on)h(a)f(domain)i Fq(D)g Fm(may)f(b)l(e)f(r)l(epr)l
(esente)l(d,)j(on)d(e)l(ach)515 1937 y(sub-domain)30
b Fq(D)1027 1949 y Fr(j)1062 1937 y Fm(,)g(as)1693 2054
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2009 y Fo(^)2140 2020 y Fr(t)2165 2028 y Fi(j)515 2195
y Fm(wher)l(e)30 b Fs(T)51 b Fm(is)30 b(the)g(tr)l(anslation)g(op)l(er)
l(ator)h(de\014ne)l(d)f(in)g(\(26\),)h Fq(\016)2443 2207
y Fr(j)2501 2195 y Fs(2)23 b(M)2679 2165 y Fo(2)2746
2195 y Fm(and)1311 2363 y Fu(0)g Fs(\024)1465 2347 y
Fu(^)1464 2363 y Fq(t)1494 2375 y Fr(j)1552 2363 y Fq(<)f(q)2013
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y Fs(\021)h Fq(t)2217 2375 y Fr(j)2266 2363 y Fu(\(mo)r(d)30
b Fq(q)s Fu(\))p Fq(:)639 2530 y Fu(The)23 b(return-map)f(partition)g
Fs(f)p Fq(D)1691 2542 y Fr(j)1725 2530 y Fs(g)h Fu(of)f(a)h(domain)f
Fq(D)j Fu(ma)n(y)d(con)n(tain)g(a)g(mem)n(b)r(er)h(whic)n(h)515
2630 y(is)29 b(a)f(smaller)g(cop)n(y)g(of)h Fq(D)r Fu(,)g(con)n
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32 b(to)j(rounding-do)n(wn)e(maps.)58 b(Theorem)34 b(2)g(\(page)g(4\))h
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Fq(D)1308 309 y Fo(\(0\))1426 339 y Fu(and)f(its)h(fragmen)n(ts,)f(eac)
n(h)g(time)h(v)n(erifying)f(that)h(one)f(of)h(the)515
450 y(resulting)23 b(sub)r(domains)h(is)g(equal)f(to)h(one)g(of)g(the)g
Fq(D)2148 407 y Fo(\(0\))2146 473 y Fr(j)2237 450 y Fu(.)36
b(The)24 b(pro)r(cess)f(w)n(as)g(iterated)h(un)n(til)515
579 y(all)j Fq(D)701 536 y Fo(\(0\))699 602 y Fr(j)818
579 y Fu(w)n(ere)g(accoun)n(ted)f(for,)h(and)h(there)f(w)n(ere)g(no)g
(residual)g(fragmen)n(ts.)639 696 y(Once)22 b(w)n(e)f(had)g(v)n
(eri\014ed)g(the)h(partition)g(of)f Fq(D)2039 666 y Fo(\(0\))2129
696 y Fu(,)i(that)f(of)f Fq(D)2508 666 y Fo(\(1\))2619
696 y Fu(follo)n(w)n(ed)g(immediately)515 795 y(b)n(y)27
b(scale)g(in)n(v)-5 b(ariance.)515 945 y Ft(Pro)s(of)31
b(of)h(\(ii\).)k Fu(W)-7 b(e)28 b(m)n(ust)g(sho)n(w)e(that)1369
1156 y Fq(\032)1412 1113 y Fo(\(0\))1412 1180 y Fr(j)1501
1156 y Fq(D)1572 1113 y Fo(\(0\))1570 1180 y Fr(j)1684
1156 y Fu(=)d Fs(T)1838 1121 y Fp(\000)p Fo(1)1817 1181
y Fr(\020)1847 1189 y Fj(\003)1946 1156 y Fs(\016)18
b Fu(\010)2066 1118 y Fr(t)2091 1088 y Fk(\(0\))2091
1139 y Fi(j)2191 1156 y Fs(\016)g(T)2296 1168 y Fr(\020)2326
1176 y Fj(\003)2365 1156 y Fq(D)2436 1113 y Fo(\(0\))2434
1180 y Fr(j)515 1371 y Fu(and,)27 b(moreo)n(v)n(er,)e(for)i
Fq(t)c(<)g(t)1378 1328 y Fo(\(0\))1378 1394 y Fr(j)1467
1371 y Fu(,)1395 1583 y Fq(D)1466 1549 y Fo(\(0\))1574
1583 y Fs(\\)18 b(T)1714 1548 y Fp(\000)p Fo(1)1692 1608
y Fr(\020)1722 1616 y Fj(\003)1821 1583 y Fs(\016)g Fu(\010)1941
1549 y Fr(t)1989 1583 y Fs(\016)g(T)2094 1595 y Fr(\020)2124
1603 y Fj(\003)2163 1583 y Fq(D)2234 1540 y Fo(\(0\))2232
1606 y Fr(j)2346 1583 y Fu(=)23 b Fs(;)p Fq(:)515 1785
y Fu(Here)42 b(w)n(e)g(ha)n(v)n(e)f(tak)n(en)h(in)n(to)h(accoun)n(t)e
(that)i Fq(\032)2053 1755 y Fo(\(0\))2185 1785 y Fu(and)f(\010)h(are)e
(de\014ned)i(with)g(resp)r(ect)515 1884 y(to)e(di\013eren)n(t)h(co)r
(ordinate)e(origins.)78 b(This)41 b(test)h(w)n(as)f(implemen)n(ted)h(b)
n(y)g(the)f(function)515 1984 y Fl(returntest1)23 b Fu(\(de\014nition)
28 b(A.15\),)g(whic)n(h)f(yielded)h(a)f(p)r(ositiv)n(e)g(result)g(in)h
(all)g(cases.)515 2133 y Ft(Pro)s(of)h(of)g(\(iii\))f(and)i(\(iv\).)36
b Fu(Using)25 b Fl(returntest2)c Fu(\(de\014nition)26
b(A.16\),)g(w)n(e)f(ha)n(v)n(e)f(sho)n(wn)515 2249 y(that)30
b(in)g(all)g(cases)e(that)i Fq(\032)1349 2206 y Fo(\(1\))1349
2272 y Fr(j)1438 2249 y Fu(,)h(de\014ned)f(b)n(y)g Fq(\032)1941
2206 y Fo(\(0\))1941 2272 y Fr(j)1968 2281 y Fi(k)2050
2249 y Fs(\016)19 b(\001)14 b(\001)g(\001)20 b(\016)f
Fq(\032)2332 2206 y Fo(\(0\))2332 2272 y Fr(j)2359 2281
y Fi(k)2421 2249 y Fu(,)31 b(maps)e Fq(D)2765 2206 y
Fo(\(1\))2763 2272 y Fr(j)2885 2249 y Fu(in)n(to)g Fq(D)3126
2219 y Fo(\(1\))3245 2249 y Fu(and)515 2379 y(coincides)f(with)g
Fs(T)1101 2411 y Fr(\016)1133 2381 y Fk(\(1\))1131 2432
y Fi(j)1234 2379 y Fs(\016)19 b(C)1339 2411 y Fr(t)1364
2381 y Fk(\(1\))1364 2432 y Fi(j)1445 2379 y Fq(;)38
b(\016)1546 2335 y Fo(\(1\))1543 2402 y Fr(j)1660 2379
y Fu(=)24 b Fs(S)1799 2391 y Fr(!)1847 2379 y Fq(\016)1887
2335 y Fo(\(0\))1884 2402 y Fr(j)1976 2379 y Fq(;)39
b(t)2068 2335 y Fo(\(1\))2068 2402 y Fr(j)2181 2379 y
Fs(\021)24 b Fq(t)2300 2335 y Fo(\(0\))2300 2402 y Fr(j)2403
2379 y Fu(\(mo)r(d)k Fq(q)s Fu(\),)h(on)f Fq(D)2933 2335
y Fo(\(1\))2931 2402 y Fr(j)3023 2379 y Fu(.)39 b(In)28
b(order)515 2511 y(for)f(the)h(second)f(equalit)n(y)g(in)h(\(iv\))g(to)
f(hold,)h(one)f(m)n(ust)h(ha)n(v)n(e)1583 2672 y Fr(k)1541
2697 y Fn(X)1548 2874 y Fr(i)p Fo(=0)1675 2776 y Fq(t)1705
2732 y Fo(\(0\))1705 2799 y Fr(j)1732 2807 y Fi(i)1817
2776 y Fs(\021)23 b Fq(t)1935 2732 y Fo(\(0\))1935 2799
y Fr(j)2038 2776 y Fu(\(mo)r(d)28 b Fq(q)s Fu(\))p Fq(;)515
3031 y Fu(a)f(fact)h(whic)n(h)f(can)g(easily)g(b)r(e)h(v)n(eri\014ed)f
(from)g(T)-7 b(able)28 b(IV.)639 3130 y(The)38 b(computer)f(v)n
(eri\014cation)f(of)i(the)g(return)f(prop)r(ert)n(y)g(do)r(es)g(not)h
(c)n(hec)n(k)e(for)h(\014rst)515 3242 y(return.)71 b(The)39
b(latter)g(follo)n(ws,)i(ho)n(w)n(ev)n(er,)f(from)f(the)g(fact)h(that)f
(the)h(images)e(of)h Fq(D)3267 3198 y Fo(\(1\))3265 3265
y Fr(j)3356 3242 y Fu(,)515 3371 y(whic)n(h)29 b(start)f(out)h(in)h
Fq(D)1273 3328 y Fo(\(0\))1271 3394 y Fr(j)1298 3402
y Fk(0)1362 3371 y Fu(,)g(nev)n(er)e(reen)n(ter)g(that)h(domain)g(un)n
(til)h(the)f(v)n(ery)f(end,)i(since)f(in)515 3487 y(eac)n(h)e(case)f
(\(see)i(T)-7 b(able)27 b(IV\),)h(the)g(return)f(path)h(is)g(suc)n(h)f
(that)h Fq(j)2523 3499 y Fr(i)2574 3487 y Fs(6)p Fu(=)22
b Fq(j)2695 3499 y Fo(0)2760 3487 y Fu(for)28 b Fq(i)22
b(>)h Fu(0.)p 3306 3417 74 4 v 3306 3484 4 67 v 3376
3484 V 3306 3487 74 4 v 515 3819 a Fc(5.2)112 b(P)m(erio)s(dic)35
b(domains)515 3972 y Ft(Prop)s(osition)30 b(5.2)40 b
Fm(F)-6 b(or)22 b(e)l(ach)g(of)g(the)g(8)f(r)l(ounding-down)h(maps,)i
(the)e(c)l(onvex)f(set)g Fu(\005)3163 3929 y Fo(\(0\))3163
3995 y Fr(i)3252 3972 y Fq(;)14 b(i)23 b Fu(=)515 4072
y(0)p Fq(;)14 b(:)g(:)g(:)f(;)h(i)770 4084 y Fo(max)938
4072 y Fm(liste)l(d)42 b(in)g(T)-6 b(able)43 b(V)e(is)i(a)f(p)l(erio)l
(dic)i(domain)f(of)f(nonzer)l(o)g(me)l(asur)l(e,)j(with)515
4171 y(the)f(sp)l(e)l(ci\014e)l(d)g(r)l(eturn)e(time)i(and)g(r)l(eturn)
e(p)l(ath)j(within)f Fq(D)2445 4141 y Fo(\(0\))2534 4171
y Fm(.)80 b(The)45 b(set)e(of)i(domains)515 4292 y Fs(f)p
Fu(\005)619 4248 y Fo(\()p Fr(n)p Fo(\))619 4315 y Fr(j)748
4244 y Fo(def)762 4292 y Fu(=)g Fs(S)928 4261 y Fr(n)922
4312 y(!)974 4292 y Fu(\005)1036 4248 y Fo(\(0\))1036
4315 y Fr(j)1125 4292 y Fq(;)i(n)33 b Fs(\025)f Fq(n)1425
4304 y Fo(0)1462 4292 y Fs(g)i Fm(is)i(a)f(sc)l(aling)h(se)l(quenc)l(e)
f(of)h(p)l(erio)l(dic)h(domains)f(with)g(the)515 4391
y(sp)l(e)l(ci\014e)l(d)28 b(limit)g(p)l(oint)g Fq(\020)1274
4403 y Fp(\003)1339 4391 y Fm(and)g(c)l(ontr)l(action)g(factor)g
Fq(!)s Fm(.)38 b(F)-6 b(or)28 b(e)l(ach)g(map,)h(the)f(orbits)g(of)g
(al)t(l)515 4491 y(sc)l(aling)33 b(se)l(quenc)l(es,)f(to)l(gether)h
(with)f(the)h(\014nite)e(numb)l(er)h(of)h(p)l(erio)l(dic)h(domains)f
(liste)l(d)g(in)515 4590 y(T)-6 b(able)24 b(VI,)f(exhaust)f(the)i(me)l
(asur)l(e)e(of)i Fu(\012)p Fm(.)37 b(The)23 b(p)l(erio)l(dic)j(domains)
e(ar)l(e)f(mutual)t(ly)g(disjoint,)515 4690 y(henc)l(e)30
b(form)g(a)h(p)l(artition)f(of)h Fu(\012)18 b Fs(n)1617
4669 y Fu(\026)1593 4690 y Fq(W)12 b Fm(.)515 4923 y
Ft(Pro)s(of.)82 b Fu(Due)28 b(to)g(Lemma)f(4.4,)g(it)h(is)f(su\016cien)
n(t)h(to)g(v)n(erify)593 5100 y(\(i\))42 b(\005)784 5057
y Fo(\(0\))784 5123 y Fr(i)901 5100 y Fu(is)28 b(a)f(non-empt)n(y)g
(sub)r(domain)h(of)f Fq(D)2057 5070 y Fo(\(0\))2146 5100
y Fu(.)1905 5506 y(15)p eop
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16 15 bop 570 -56 a Fu(\(ii\))42 b(The)28 b(domain)f(\005)1250
-99 y Fo(\(0\))1250 -33 y Fr(i)1367 -56 y Fu(satis\014es)1585
145 y(\005)1647 102 y Fo(\(0\))1647 168 y Fr(i)1759 145
y Fu(=)c Fq(\032)1890 102 y Fo(\(0\))1890 168 y Fr(j)1917
177 y Fi(k)1998 145 y Fs(\016)18 b(\001)c(\001)g(\001)k(\016)g
Fq(\032)2276 102 y Fo(\(0\))2276 168 y Fr(j)2303 176
y Fk(0)2365 145 y Fu(\005)2427 102 y Fo(\(0\))2427 168
y Fr(i)722 345 y Fu(with)43 b(the)f(return)f(map)h(for)f
Fq(D)1762 314 y Fo(\(0\))1893 345 y Fu(giv)n(en)g(in)h(T)-7
b(able)42 b(IV)g(and)f(the)i(return)e(path)722 444 y
Fq(j)756 456 y Fo(0)794 444 y Fq(;)14 b(:)g(:)g(:)f(;)h(j)1012
456 y Fr(k)1091 444 y Fu(listed)39 b(\(in)g(that)f(order\))f(in)h(T)-7
b(able)38 b(V.)h(The)f(return)g(path)g(is)g(a)g(\014rst-)722
544 y(return)27 b(path.)547 710 y(\(iii\))42 b(The)20
b(sum)h(o)n(v)n(er)d(the)i(areas)f(of)h(the)g(orbits)g(of)g(all)g(p)r
(erio)r(dic)f(domains)h(listed)g(in)h(T)-7 b(ables)722
809 y(V)28 b(and)g(VI)g(is)f(equal)g(to)h(the)g(area)e(of)h(\012,)h
(i.e.,)1018 969 y Fr(i)1041 977 y Fk(max)1024 994 y Fn(X)1030
1171 y Fr(i)p Fo(=0)1213 970 y Fp(1)1186 994 y Fn(X)1163
1169 y Fr(n)p Fo(=)p Fr(n)1296 1177 y Fk(0)1342 1073
y Fs(A)p Fu(\(\005)1502 1030 y Fo(\()p Fr(n)p Fo(\))1502
1096 y Fr(i)1600 1073 y Fu(\))p Fq(t)1662 1030 y Fo(\()p
Fr(n)p Fo(\))1662 1096 y Fr(i)1778 1073 y Fu(+)1861 966
y Fo(exceptional)1964 994 y Fn(X)2000 1173 y Fo(\005)2201
1073 y Fs(A)p Fu(\(\005\))14 b Fq(t)p Fu(\(\005\))25
b(=)e Fs(A)p Fu(\(\012\))h(=)e Fq(\034)3022 1039 y Fo(2)3060
1073 y Fq(:)722 1368 y Fu(Again)j(w)n(e)f(rely)h(on)g(the)g(computer)g
(assistan)n(t,)f(using)h(the)g(functions)g(of)g(App)r(endix)722
1467 y(A,)j(to)g(do)f(the)h(tedious)f(c)n(hec)n(king)g(of)g
(\(i\)-\(iii\).)722 1600 y Ft(Pro)s(of)32 b(of)g(\(i\).)k
Fu(The)28 b(nonzero)e(measure)g(of)i(\005)2219 1570 y
Fo(\(0\))2336 1600 y Fu(is)f(obtained)h(b)n(y)f(c)n(hec)n(king)f(for)h
(a)722 1700 y(n)n(um)n(b)r(er)f(of)h(v)n(ertices)e(at)h(least)g(3,)h
(using)f(the)h(function)g Fl(vertices)p Fu(.)33 b(The)26
b(inclusion)722 1799 y(in)i Fq(D)890 1769 y Fo(\(0\))1007
1799 y Fu(is)f(c)n(hec)n(k)n(ed)g(with)h Fl(subdomain)p
Fu(.)722 1932 y Ft(Pro)s(of)37 b(of)f(\(ii\).)47 b Fu(The)32
b(return)f(prop)r(ert)n(y)g(is)g(c)n(hec)n(k)n(ed)f(using)i
Fl(returntest3)27 b Fu(\(def-)722 2048 y(inition)35 b(A.17\).)56
b(Since)34 b Fq(j)1529 2060 y Fr(r)1600 2048 y Fs(6)p
Fu(=)f Fq(j)1732 2060 y Fo(0)1804 2048 y Fu(for)g Fq(r)k(>)c
Fu(0)h(\(see)g(T)-7 b(able)34 b(V\),)g(the)h(orbit)f(of)g(\005)3267
2005 y Fo(\(0\))3267 2071 y Fr(j)3356 2048 y Fu(,)722
2177 y(whic)n(h)28 b(starts)e(in)i Fq(D)1359 2134 y Fo(\(0\))1357
2200 y Fr(j)1384 2208 y Fk(0)1448 2177 y Fu(,)g(nev)n(er)e(reen)n(ters)
g(that)i(domain)f(un)n(til)h(the)g(v)n(ery)e(end.)37
b(This)722 2277 y(is)28 b(su\016cien)n(t)f(for)h(the)g(\014rst-return)e
(prop)r(ert)n(y)-7 b(.)722 2421 y Ft(Pro)s(of)45 b(of)f(\(iii\).)68
b Fu(The)38 b(return)g(times)h(for)f(\005)2249 2378 y
Fo(\()p Fr(n)p Fo(\))2249 2444 y Fr(j)2385 2421 y Fu(are)f(sums)i(of)f
Fq(n)p Fu(th)h(p)r(o)n(w)n(ers)e(of)722 2521 y(in)n(tegers,)27
b(and,)g(moreo)n(v)n(er,)e(from)i(30,)g(w)n(e)g(ha)n(v)n(e)1599
2715 y Fs(A)p Fu(\(\005\()1791 2672 y Fo(\()p Fr(n)p
Fo(\))1791 2738 y Fr(j)1889 2715 y Fu(\)\))d(=)e Fq(!)2119
2681 y Fo(2)p Fr(n)2197 2715 y Fs(A)p Fu(\(\005)2357
2672 y Fo(\(0\))2357 2738 y Fr(j)2447 2715 y Fu(\))p
Fq(;)722 2898 y Fu(so)e(the)h(in\014nite)h(sum)f(in)g(\(iii\))g(is)g(a)
f(linear)g(com)n(bination)g(of)h(geometric)e(series,)i(whic)n(h)722
2997 y(can)30 b(b)r(e)h(ev)-5 b(aluated)30 b(exactly)-7
b(.)44 b(Here)30 b(the)g(use)g(of)h(a)e(computer)h(is)g(helpful,)i(but)
f(not)722 3097 y(essen)n(tial.)41 b(F)-7 b(or)28 b(eac)n(h)h(case,)f(w)
n(e)h(ha)n(v)n(e)f(p)r(erformed)h(the)g(summations)g(and)g(v)n
(eri\014ed)722 3197 y(that)f(the)g(total)f(area)g(o)r(ccupied)g(b)n(y)h
(the)g(p)r(erio)r(dic)f(orbits)g(is)g Fq(\034)2708 3167
y Fo(2)2746 3197 y Fu(.)p 3306 3293 74 4 v 3306 3359
4 67 v 3376 3359 V 3306 3362 74 4 v 515 3737 a Fv(6)134
b(Structure)45 b(of)g(the)g(discon)l(tin)l(uit)l(y)i(set)515
3919 y Fu(In)28 b(this)h(section)g(w)n(e)f(pro)n(vide)f(t)n(w)n(o)h
(examples)g(of)g(decomp)r(ositions)g(of)h(the)g(discon)n(tin)n(uit)n(y)
515 4018 y(set)20 b(of)f(a)h(torus)f(map,)i(in)n(to)f(orbits.)34
b(W)-7 b(e)20 b(shall)g(also)e(brie\015y)i(discuss)f(a)h(connection)f
(b)r(et)n(w)n(een)515 4118 y(ap)r(erio)r(dic)37 b(orbits)g(in)i(the)f
(discon)n(tin)n(uit)n(y-set)f(orbits)g(and)h(escap)r(e)f(orbits)h(in)g
(the)g(dual)515 4218 y(round-o\013)26 b(mo)r(dels.)1080
4417 y(example)215 b Fq(p=q)399 b(\034)516 b Fu(\012)p
997 4482 2025 4 v 1214 4599 a(I)327 b(3)p Fq(=)p Fu(10)164
b Fs(\000)p Fu(\(1)18 b(+)2143 4531 y Fs(p)p 2212 4531
42 4 v 68 x Fu(5\))p Fq(=)p Fu(2)200 b(\()p Fq(\034)5
b(;)28 b Fu(0)14 b(])2784 4569 y Fo(2)1198 4699 y Fu(I)r(I)332
b(3)p Fq(=)p Fu(8)289 b Fs(\000)2072 4630 y(p)p 2141
4630 V 69 x Fu(2)o Fq(=)p Fu(2)269 b(\()p Fq(\034)5 b(;)28
b Fs(\000)p Fq(\034)23 b Fu(])2817 4669 y Fo(2)639 4885
y Fu(In)37 b(example)f(I,)g(the)h(discon)n(tin)n(uit)n(y)f(set)g
(decomp)r(oses,)i(apart)d(from)h(a)g(small)g(n)n(um-)515
4985 y(b)r(er)c(of)g(short-p)r(erio)r(d)f(orbits,)i(in)n(to)f(t)n(w)n
(o)f(in\014nite)i(scaling)e(sequences)h(of)g(p)r(erio)r(dic)g(op)r(en)
515 5084 y(line)27 b(segmen)n(ts,)f(and)h(t)n(w)n(o)f(in\014nite)i
(scaling)d(sequences)i(of)f(p)r(erio)r(dic)h(p)r(oin)n(ts,)g(namely)g
(the)515 5184 y(endp)r(oin)n(ts)g(of)h(the)g(line)g(segmen)n(ts.)1905
5506 y(16)p eop
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17 16 bop 639 -60 a Fu(Example)21 b(I)r(I)h(is)g(qualitativ)n(ely)f
(di\013eren)n(t.)35 b(Once)21 b(again)g(w)n(e)h(obtain)f(scaling)g
(sequences)515 40 y(of)j(p)r(erio)r(dic)f(op)r(en)h(segmen)n(ts,)g(but)
h(no)n(w)e(the)h(segmen)n(t)f(endp)r(oin)n(ts)h(b)r(elong)g(to)g
(in\014nite)g(or-)515 139 y(bits,)g(and)f(the)h(complemen)n(t)f(of)h
(the)f(closed)g(segmen)n(ts)f(in)i(the)g(base)e(line)i(is)f(a)g(Can)n
(tor)f(set.)515 239 y(Its)31 b(one-dimensional)g(Leb)r(esgue)g(measure)
g(is)g(zero,)h(and)f(it)h(con)n(tains)f(an)h(uncoun)n(table)515
339 y(in\014nit)n(y)22 b(of)f(ap)r(erio)r(dic)g(orbits.)35
b(Our)21 b(recursiv)n(e)f(analysis)g(pro)n(vides)g(a)h(sym)n(b)r(olic)h
(dynamics)515 438 y(for)27 b(the)h(forw)n(ard)d(and)j(bac)n(kw)n(ard)d
(ev)n(olution)i(of)g(these)h(orbits.)36 b(Some)27 b(of)h(the)g(results)
f(for)515 538 y(this)e(case,)g(including)g(the)h(existence)f(of)g(an)g
(in\014nite)h(orbit)f(of)g(segmen)n(t)f(endp)r(oin)n(ts,)i(w)n(ere)515
638 y(obtained)h(previously)f(b)n(y)i(Adler)f Fm(et.)j(al.)f
Fu([1].)515 866 y Fc(6.1)112 b(Example)37 b(I)515 1019
y Ft(Prop)s(osition)30 b(6.1)40 b Fm(F)-6 b(or)30 b(the)g(torus)g(map)g
(de\014ne)l(d)g(by)1113 1235 y Fq(C)g Fu(=)1289 1118
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Fu(1)82 b Fs(\000)p Fq(\034)1733 1118 y Fn(\023)1808
1235 y Fq(;)183 b(\034)33 b Fu(=)23 b Fq(\025)2219 1201
y Fp(\000)p Fo(1)2331 1235 y Fu(=)g Fs(\000)2494 1179
y Fu(1)18 b(+)2637 1110 y Fs(p)p 2706 1110 42 4 v 69
x Fu(5)p 2494 1216 254 4 v 2600 1292 a(2)2757 1235 y
Fq(;)515 1450 y Fm(acting)39 b(on)g Fu(\012)g(=)f(\()p
Fq(\034)5 b(;)14 b Fu(0])1277 1420 y Fo(2)1314 1450 y
Fm(,)42 b(the)c(disc)l(ontinuity)h(set)g(may)g(b)l(e)g(p)l(artitione)l
(d)g(into)g(a)g(c)l(ount-)515 1549 y(able)c(set)e(of)i(p)l(erio)l(dic)h
(domains)f(of)f(dimension)h(1)g(and)f(0.)51 b(The)35
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1661 y Fo(1)773 1649 y Fu(\))g Fs(j)g Fq(\020)892 1661
y Fo(0)952 1649 y Fu(=)23 b(0)p Fq(;)k Fs(\000)p Fu(1)22
b Fq(<)h(\020)1385 1661 y Fo(1)1446 1649 y Fs(\024)f
Fu(0)p Fs(g)29 b Fm(serves)h(as)g(surfac)l(e)g(of)h(se)l(ction.)39
b(Sp)l(e)l(ci\014c)l(al)t(ly,)725 1833 y Fs(B)25 b Fu(=)936
1754 y Fn([)893 1933 y Fr(n)p Fp(\025\000)p Fo(1)1084
1741 y Fn(\020)1134 1833 y Fu(\005)1196 1799 y Fo(\()p
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1790 y Fo(\()p Fr(n)p Fo(\))1448 1858 y Fr(b)1563 1833
y Fs([)g Fu(\005)1699 1799 y Fo(\()p Fr(n)p Fo(\))1699
1854 y Fr(c)1815 1833 y Fs([)g Fu(\005)1951 1790 y Fo(\()p
Fr(n)p Fo(\))1951 1858 y Fr(d)2048 1741 y Fn(\021)2130
1833 y Fs([)g Fu(\005)2266 1790 y Fo(\()p Fp(\000)p Fo(1\))2266
1855 y(1)2426 1833 y Fs([)f Fu(\005)2561 1790 y Fo(\()p
Fp(\000)p Fo(1\))2561 1855 y(2)2721 1833 y Fs([)h Fu(\005)2857
1790 y Fo(\()p Fp(\000)p Fo(1\))2857 1855 y(3)2998 1833
y Fq(;)210 b Fu(\(37\))515 2078 y Fm(wher)l(e)30 b(the)g(domains)h
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2090 y Fr(d)1494 2078 y Fm(ar)l(e)f(de\014ne)l(d)g(by)g
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y Fo(1)1819 2249 y Fs(2)23 b Fu(\()p Fq(\025)1977 2218
y Fo(2)p Fr(n)p Fo(+3)2140 2249 y Fq(;)28 b Fs(\000)p
Fq(\025)2304 2218 y Fo(2)p Fr(n)p Fo(+4)2466 2249 y Fu(\))1395
2365 y(\005)1457 2322 y Fo(\()p Fr(n)p Fo(\))1457 2390
y Fr(b)1722 2365 y Fq(\020)1758 2377 y Fo(1)1819 2365
y Fu(=)23 b Fs(\000)p Fq(\025)2020 2335 y Fo(2)p Fr(n)p
Fo(+4)1395 2482 y Fu(\005)1457 2439 y Fo(\()p Fr(n)p
Fo(\))1457 2491 y Fr(c)1722 2482 y Fq(\020)1758 2494
y Fo(1)1819 2482 y Fs(2)g Fu(\()p Fs(\000)p Fq(\025)2042
2452 y Fo(2)p Fr(n)p Fo(+4)2205 2482 y Fq(;)28 b(\025)2304
2452 y Fo(2)p Fr(n)p Fo(+5)2466 2482 y Fu(\))1395 2598
y(\005)1457 2555 y Fo(\()p Fr(n)p Fo(\))1457 2623 y Fr(d)1722
2598 y Fq(\020)1758 2610 y Fo(1)1819 2598 y Fu(=)23 b
Fq(\025)1955 2568 y Fo(2)p Fr(n)p Fo(+5)2117 2598 y Fq(;)515
2783 y Fm(and)30 b Fu(\005)738 2740 y Fo(\()p Fp(\000)p
Fo(1\))738 2806 y Fr(j)879 2783 y Fm(,)g Fq(j)e Fu(=)23
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g(T)-6 b(able)31 b(VII)e(\(b\).)515 2983 y Ft(Pro)s(of.)82
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3083 y(that)i(w)n(e)f(ha)n(v)n(e)f(already)g(established)i(the)g
(existence)f(and)g(return-map)g(partition)g(of)h(the)515
3182 y(scaling)20 b(domain)h Fq(D)1141 3152 y Fo(\(0\))1252
3182 y Fu(\(data)g(in)h(T)-7 b(able)21 b(IV\),)h(as)f(w)n(ell)g(as)g
(the)g(existence)g(of)h(a)f(full-measure)515 3298 y(set)28
b(of)f(p)r(erio)r(dic)h(orbits)g(based)f(on)g(the)i(p)r(en)n(tagonal)d
(domains)i(\005)2600 3255 y Fo(\()p Fr(n)p Fo(\))2600
3321 y Fr(j)2725 3298 y Fu(\(see)g(data)f(in)h(T)-7 b(able)515
3398 y(V,)32 b(and)f(Figure)f(5\).)49 b(T)-7 b(o)31 b(incorp)r(orate)e
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3497 y(set,)i(w)n(e)e(use)g(the)h(re\014ned)f(partition)g(of)h(the)g
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b(able)515 3597 y(VI)r(I)34 b(\(a\))h(and)e(depicted)i(in)f(Figure)g
(4.)55 b(The)34 b(augmen)n(ted)g(list)g(of)g(p)r(erio)r(dic)g(domains)f
(is)515 3697 y(giv)n(en)c(in)i(T)-7 b(able)30 b(VI)r(I)h(\(b\))h(and)e
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b(\014rst)f(step)g(of)h(our)515 3796 y(pro)r(of)c(is)h(to)g(v)n(erify)f
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38 b(W)-7 b(e)28 b(ha)n(v)n(e)515 3896 y(carried)e(this)i(out)f(using)h
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3996 y(That)40 b(all)g(p)r(oin)n(ts)g(of)h(the)f(discon)n(tin)n(uit)n
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Fu(under)515 4095 y(forw)n(ard)26 b(or)g(bac)n(kw)n(ard)g(iteration)h
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4267 y Fo(5)1230 4255 y Fs(\032)c Fu(\010)1378 4220 y
Fp(\000)p Fo(1)1467 4255 y Fu(\(\012)1559 4267 y Fo(6)1615
4255 y Fs([)c Fu(\012)1749 4267 y Fo(7)1804 4255 y Fs([)g
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b Fu(\012)2354 4267 y Fo(7)2414 4255 y Fs(\032)23 b Fu(\010)2562
4220 y Fo(5)2599 4255 y Fu(\(\012)2691 4267 y Fo(6)2728
4255 y Fu(\))p Fq(;)448 b Fu(\(38\))515 4414 y(whic)n(h)27
b(can)g(b)r(e)h(v)n(eri\014ed)f(directly)-7 b(.)639 4514
y(W)g(e)28 b(next)g(sho)n(w)f(,)g(with)i(computer)e(assistance,)596
4685 y Fs(B)e Fu(=)d(\005)825 4651 y Fo(\()p Fp(\000)p
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4642 y Fo(\()p Fp(\000)p Fo(1\))1121 4710 y Fr(b)1281
4685 y Fs([)g Fu(\005)1417 4651 y Fo(\()p Fp(\000)p Fo(1\))1417
4705 y Fr(c)1576 4685 y Fs([)g Fu(\005)1712 4642 y Fo(\()p
Fp(\000)p Fo(1\))1712 4710 y Fr(d)1872 4685 y Fs([)g
Fu(\005)2008 4642 y Fo(\()p Fp(\000)p Fo(1\))2008 4707
y(1)2167 4685 y Fs([)g Fu(\005)2303 4642 y Fo(\()p Fp(\000)p
Fo(1\))2303 4707 y(2)2463 4685 y Fs([)g Fu(\005)2599
4642 y Fo(\()p Fp(\000)p Fo(1\))2599 4707 y(3)2772 4685
y Fs([)33 b Fu(\010)2920 4651 y Fo(12)2990 4685 y Fq(D)3061
4642 y Fo(\(0\))3059 4707 y(3)3231 4685 y Fu(\(39\))515
4865 y(where)19 b(the)h(scaling)f(sub)r(domain)h Fq(D)1633
4822 y Fo(\(0\))1631 4887 y(3)1742 4865 y Fu(is)g(listed)g(in)g(T)-7
b(able)20 b(IV.)g(The)g(self-similar)f(structure)515
4982 y(of)32 b Fs(B)j Fu(is)e(inherited)f(from)h(the)g(corresp)r
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5004 y(3)2657 4982 y Fu(.)52 b(With)33 b(reference)f(to)515
5082 y(T)-7 b(able)27 b(VI)r(I)h(\(b\))h(w)n(e)e(ha)n(v)n(e)1161
5257 y Fq(D)1232 5214 y Fo(\(0\))1230 5279 y(3)1345 5257
y Fu(=)22 b(\005)1494 5214 y Fo(\(0\))1494 5279 y(2)1602
5257 y Fs([)d Fu(\005)1738 5214 y Fo(\(0\))1738 5279
y(3)1846 5257 y Fs([)g Fu(\005)1982 5214 y Fo(\(0\))1982
5279 y(4)2089 5257 y Fs([)g Fu(\005)2225 5214 y Fo(\(0\))2225
5279 y(5)2333 5257 y Fs([)g Fq(\032)2450 5223 y Fo(\(0\)4)2572
5257 y Fq(D)2643 5214 y Fo(\(1\))2641 5279 y(3)3231 5257
y Fu(\(40\))1905 5506 y(17)p eop
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18 17 bop 515 -60 a Fu(and,)27 b(for)g(all)h Fq(n)23
b Fs(\025)f Fu(0)27 b(\(b)n(y)h(scaling\))1080 135 y
Fq(D)1151 91 y Fo(\()p Fr(n)p Fo(\))1149 157 y(3)1271
135 y Fu(=)23 b(\005)1421 91 y Fo(\()p Fr(n)p Fo(\))1421
157 y(2)1537 135 y Fs([)c Fu(\005)1673 91 y Fo(\()p Fr(n)p
Fo(\))1673 157 y(3)1788 135 y Fs([)g Fu(\005)1924 91
y Fo(\()p Fr(n)p Fo(\))1924 157 y(4)2040 135 y Fs([)g
Fu(\005)2176 91 y Fo(\()p Fr(n)p Fo(\))2176 157 y(5)2291
135 y Fs([)g Fq(\032)2408 100 y Fo(\()p Fr(n)p Fo(\)4)2538
135 y Fq(D)2609 91 y Fo(\()p Fr(n)p Fo(+1\))2607 157
y(3)2791 135 y Fq(:)417 b Fu(\(41\))639 313 y(The)28
b(map)1407 424 y Fq(\032)1450 390 y Fo(\()p Fr(n)p Fo(\)4)1604
424 y Fu(=)22 b Fq(\032)1734 381 y Fo(\()p Fr(n)p Fo(\))1734
446 y(0)1850 424 y Fs(\016)c Fq(\032)1953 381 y Fo(\()p
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381 y Fo(\()p Fr(n)p Fo(\))2171 446 y(0)2286 424 y Fs(\016)g
Fq(\032)2389 381 y Fo(\()p Fr(n)p Fo(\))2389 446 y(2)515
571 y Fu(has)23 b(return)h(time)g(divisible)g(b)n(y)g(10,)g(hence)g
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b(als)23 b(on)h(the)515 682 y(parallel)k(line)i(segmen)n(ts)e
Fq(D)1397 639 y Fo(\()p Fr(n)p Fo(+1\))1395 704 y(3)1608
682 y Fu(and)h Fq(D)1842 639 y Fo(\()p Fr(n)p Fo(\))1840
704 y(3)1939 682 y Fu(.)42 b(F)-7 b(rom)29 b(\(38\),)h(\(39\),)g(and)f
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756 y Fo(\()p Fr(n)p Fo(\))814 822 y Fr(j)939 799 y Fu(on)g
Fs(B)s Fu(,)e(giv)n(en)h(b)n(y)803 930 y Fn(8)803 1004
y(>)803 1029 y(>)803 1054 y(>)803 1079 y(<)803 1228 y(>)803
1253 y(>)803 1278 y(>)803 1303 y(:)918 1007 y Fu(\005)980
964 y Fo(\()p Fr(n)p Fo(\))980 1017 y Fr(a)918 1124 y
Fu(\005)980 1081 y Fo(\()p Fr(n)p Fo(\))980 1149 y Fr(b)918
1240 y Fu(\005)980 1197 y Fo(\()p Fr(n)p Fo(\))980 1250
y Fr(c)918 1357 y Fu(\005)980 1314 y Fo(\()p Fr(n)p Fo(\))980
1382 y Fr(d)1152 1174 y Fu(=)c(\010)1300 1140 y Fo(12)1388
1174 y Fs(\016)18 b Fq(\032)1491 1140 y Fo(\(0\)4)1632
1174 y Fs(\016)g Fq(\032)1735 1140 y Fo(\(1\)4)1876 1174
y Fs(\016)g(\001)c(\001)g(\001)k(\016)g Fq(\032)2154
1140 y Fo(\()p Fr(n)p Fp(\000)p Fo(1\)4)2383 930 y Fn(8)2383
1004 y(>)2383 1029 y(>)2383 1054 y(>)2383 1079 y(<)2383
1228 y(>)2383 1253 y(>)2383 1278 y(>)2383 1303 y(:)2498
1007 y Fu(\005)2560 964 y Fo(\()p Fr(n)p Fo(\))2560 1029
y(2)2498 1124 y Fu(\005)2560 1081 y Fo(\()p Fr(n)p Fo(\))2560
1146 y(3)2498 1240 y Fu(\005)2560 1197 y Fo(\()p Fr(n)p
Fo(\))2560 1263 y(4)2498 1357 y Fu(\005)2560 1314 y Fo(\()p
Fr(n)p Fo(\))2560 1379 y(5)2889 1174 y Fq(n)23 b Fs(\025)f
Fu(0)515 1531 y(partition)29 b Fs(B)j Fu(as)e(claimed.)43
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(is)g(depicted)515 1631 y(in)e(Figure)f(8.)p 3306 1561
74 4 v 3306 1628 4 67 v 3376 1628 V 3306 1631 74 4 v
515 1959 a Fc(6.2)112 b(Example)37 b(I)s(I)515 2112 y
Fu(W)-7 b(e)32 b(state)g(and)g(pro)n(v)n(e)f(t)n(w)n(o)g(results)g
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(pa-)515 2212 y(rameters)i Fq(p=q)41 b Fu(=)d(3)p Fq(=)p
Fu(8,)g(\012)g(=)g(\()p Fs(\000)p Fq(\034)5 b(;)14 b(\034)9
b Fu(].)66 b(The)37 b(\014rst)f(\(Prop)r(osition)g(6.2\),)i(describ)r
(es)f(the)515 2311 y(decomp)r(osition)26 b(of)h(the)g(discon)n(tin)n
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(tor)f(set)i(of)515 2411 y(ap)r(erio)r(dic)h(ones.)40
b(The)29 b(second)f(\(Prop)r(osition)g(6.3\),)g(pro)n(vides)g(a)g
(\014ner)h(c)n(haracterization)515 2511 y(of)e(the)h(Can)n(tor)f
(orbits.)515 2689 y Ft(Prop)s(osition)j(6.2)40 b Fm(The)31
b(disc)l(ontinuity)f(set)g(of)g(the)g(torus)g(map)836
2912 y Fq(C)g Fu(=)1012 2795 y Fn(\022)1147 2862 y Fu(0)151
b(1)1115 2961 y Fs(\000)p Fu(1)82 b Fs(\000)p Fq(\025)1458
2795 y Fn(\023)1533 2912 y Fq(;)184 b(\025)24 b Fu(=)e
Fq(\034)1944 2878 y Fp(\000)p Fo(1)2057 2912 y Fu(=)h
Fs(\000)2210 2840 y(p)p 2278 2840 42 4 v 2278 2912 a
Fu(2)p Fq(;)263 b Fu(\012)23 b(=)g(\()p Fq(\034)5 b(;)14
b Fs(\000)p Fq(\034)9 b Fu(])3020 2878 y Fo(2)515 3140
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Fs(\000)p Fq(\034)9 b Fu(])25 b Fm(as)i(surfac)l(e)f(of)i(se)l(ction.)
37 b(The)27 b(p)l(erio)l(dic)i(domains)515 3256 y Fu(\005)577
3213 y Fo(\()p Fp(\000)p Fo(1\))577 3278 y(1)749 3256
y Fm(and)j Fu(\005)974 3213 y Fo(\()p Fr(n)p Fo(\))974
3278 y(3)1071 3256 y Fm(,)g Fq(n)25 b Fs(\025)g Fu(0)p
Fm(,)31 b(de\014ne)l(d)h(in)f(T)-6 b(able)32 b(IX,)f(ar)l(e)h(disjoint)
g(op)l(en)g(se)l(gments,)f(whose)515 3356 y(forwar)l(d)g(images)f(c)l
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Fs(C)k Fm(of)d(zer)l(o)g(me)l(asur)l(e.)38 b(The)30 b(lo)l(c)l(ations)g
(and)515 3455 y(lengths)24 b(of)h(al)t(l)g(the)f(p)l(erio)l(dic)i(se)l
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(form,)j(in)d(T)-6 b(able)25 b(X.)515 3555 y(The)f(set)e
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515 3655 y Fs(\000)p Fu(log)13 b(5)p Fq(=)p Fu(log)g
Fq(!)s Fm(,)36 b(c)l(ontaining)f(r)l(epr)l(esentatives)g(of)g(unc)l
(ountably)f(many)g(ap)l(erio)l(dic)j(orbits,)515 3754
y(which)31 b(include)g(those)f(p)l(assing)g(thr)l(ough)g
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b Fm(and)f Fu(\()p Fs(\000)p Fq(\034)5 b(;)14 b Fu(0\))p
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Fq(\034)5 b(;)14 b Fs(\000)p Fq(\034)9 b Fu(\))28 b(w)n(as)f(found)h
(in)g([1)o(].)515 4080 y Ft(Pro)s(of.)82 b Fu(The)28
b(pro)r(of)f(will)h(b)r(e)g(sub)r(divided)g(in)n(to)f(sections.)515
4276 y Ft(\(a\))32 b(Generating)g(partition.)639 4424
y Fu(W)-7 b(e)35 b(v)n(erify)f(that)h(the)g(generating)e(partition)h
(of)g(\012)h(consists)f(of)g(12)g(domains,)i(with)515
4523 y(return)30 b(time)i(unit)n(y)f(\(T)-7 b(able)31
b(VI)r(I)r(I)g(\(a\))h(and)e(Figure)h(9\).)46 b(Similarly)-7
b(,)32 b(w)n(e)e(v)n(erify)g(that)i(the)515 4623 y(baseline)27
b Fs(B)j Fu(of)d(the)h(discon)n(tin)n(uit)n(y)f(set)h(decomp)r(oses)e
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4801 y Fs([)18 b Fu(\012)1919 4813 y Fo(8)1975 4801 y
Fs([)h Fu(\012)2109 4813 y Fo(9)2164 4801 y Fs([)g Fu(\012)2298
4813 y Fo(10)2369 4801 y Fq(;)515 4979 y Fu(and)27 b(that)g(the)g
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Fs(B)i Fu(after)e(at)g(most)f(2)515 5079 y(iterations)822
5257 y(\010\(\012)974 5269 y Fo(4)1030 5257 y Fs([)19
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5269 y Fo(6)1390 5257 y Fu(\))24 b Fs(\032)e(B)s Fq(;)262
b Fu(\010)1936 5223 y Fo(2)1973 5257 y Fu(\(\012)2065
5269 y Fo(3)2103 5257 y Fu(\))23 b Fs(\032)g(B)s Fq(;)262
b Fu(\010)2649 5223 y Fo(2)2686 5257 y Fu(\(\012)2778
5269 y Fo(11)2849 5257 y Fu(\))23 b Fs(\032)g(B)s Fq(:)1905
5506 y Fu(18)p eop
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20 19 bop 639 -60 a Fu(W)-7 b(e)27 b(b)r(egin)g(b)n(y)f(reviewing)f
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4581 y(5)1072 4676 y Fq(\027)1118 4633 y Fo(\()p Fr(n)p
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4447 y(C)1341 4497 y(C)1341 4550 y(A)1437 4493 y Fu(=)1525
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4550 y(@)2296 4326 y Fq(\027)2342 4283 y Fo(\()p Fr(n)p
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Fu(20)p eop
%%Page: 21 21
21 20 bop 515 -60 a Fu(an)27 b(eigen)n(v)n(ector)f(of)h(the)h
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5119 y(f)p Fu(1)p Fq(;)14 b Fu(2)p Fq(;)g Fu(3)p Fq(;)g
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5076 y Fo(\()p Fr(n)p Fo(\))1142 5143 y Fr(j)1269 5119
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%%Page: 22 22
22 21 bop 515 -60 a Fu(is)33 b(the)h Fq(k)s Fu(th)g(elemen)n(t)g(of)f
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273 y(4)2223 251 y Fu(.)47 b(Moreo)n(v)n(er,)30 b(all)h
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3306 1095 4 67 v 3376 1095 V 3306 1098 74 4 v 639 1360
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1460 y(escap)r(e)18 b(orbits,)j(b)n(y)e(exploiting)f(the)i(dualit)n(y)f
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b(the)515 1858 y(p)r(oin)n(ts)24 b(dual)g(to)g(lattice)g(p)r(oin)n(ts)g
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1958 y(on)34 b(the)i(baseline)e Fs(B)j Fu(or)d(its)h(forw)n(ard)e(and)i
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2058 y(p)r(oin)n(ts.)639 2157 y(Ho)n(w)n(ev)n(er,)e(if)h(w)n(e)f
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2456 y(in)i(particular)f(it)h(includes)g(p)r(oin)n(ts)g(dual)g(to)g(t)n
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2556 y(\()p Fs(\000)p Fq(\034)5 b(;)14 b Fu(0\).)36 b(These)28
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3407 y(orbits)22 b(of)g(p)r(ositiv)n(e)h(measure,)f(with)h(a)g
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515 3606 y(on)i(a)g(lattice,)h(whose)f(densit)n(y)g(is)h(equal)f(to)g
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b(orbits)g(of)h(full)g(measure.)34 b(W)-7 b(e)22 b(ha)n(v)n(e)e(sho)n
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4104 y(c)n(haracterize)k(the)k(dynamics)e(of)h(the)h(zero-measure)c
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4204 y(w)n(e)f(ha)n(v)n(e)f(p)r(erformed)h(in)h(t)n(w)n(o)f(sp)r
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4403 y(consequences)18 b(is)h(that)h(in)g(the)g(co)r(ordinates)e
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4503 y(norm)27 b(is)h(a)g(scale-in)n(v)-5 b(arian)n(t)26
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Fq(\025)h Fu(of)g(the)515 4702 y(corresp)r(onding)31
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y Fu(=)c(\()p Fq(x)2846 4771 y Fo(\()p Fr(n)p Fo(\))2964
4801 y Fs(\000)20 b Fq(y)3093 4771 y Fo(\()p Fr(n)p Fo(\))3190
4801 y Fq(\025)p Fu(\))p Fq(=a)p Fu(,)515 4901 y(with)37
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b(y)952 4871 y Fo(\()p Fr(n)p Fo(\))1049 4901 y Fq(;)f(a)37
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y Fo(\()p Fr(n)p Fo(\))3314 4901 y Fu(=)515 5001 y Fq(!)570
4971 y Fr(n)615 5001 y Fq(b)651 4971 y Fo(\(0\))767 5001
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5102 y Fn(\022)1324 5163 y Fq(x)1371 5133 y Fo(\()p Fr(n)p
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y Fo(\()p Fr(n)p Fo(\))1948 5219 y Fs(\000)2034 5198
y Fu(~)2031 5219 y Fq(\025)2079 5102 y Fn(\023)2163 5219
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23 22 bop 515 -60 a Fu(No)n(w,)20 b Fq(x)767 -90 y Fo(\()p
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Fq(y)2144 -90 y Fo(\()p Fr(n)p Fo(\))2261 -60 y Fu(are)f(un)n(b)r
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Fq(n)p Fu(,)h(w)n(e)f(ha)n(v)n(e)1585 152 y Fn(\014)1585
202 y(\014)1585 252 y(\014)1585 301 y(\014)1622 216 y
Fq(x)1669 186 y Fo(\()p Fr(n)p Fo(\))p 1622 253 145 4
v 1624 331 a Fq(y)1668 307 y Fo(\()p Fr(n)p Fo(\))1795
272 y Fs(\000)18 b Fq(\025)1926 152 y Fn(\014)1926 202
y(\014)1926 252 y(\014)1926 301 y(\014)1977 272 y Fq(<)2169
216 y(c)p 2075 253 225 4 v 2075 331 a Fs(j)p Fq(y)2142
307 y Fo(\()p Fr(n)p Fo(\))2239 331 y Fs(j)2262 307 y
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(maps)g(dual)515 695 y(to)33 b(lattice)h(maps)g(are)f(scarce;)i(there)f
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994 y(6,)i(corresp)r(onding)e(to)i(a)g(cubic)g Fq(\025)p
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1566 y Fv(A)134 b(Computer)45 b(assistan)l(t)515 1748
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1848 y(in)j(the)g(computer-assisted)e(pro)r(ofs)g(of)i(Sections)f(6)g
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1947 y(are)39 b(implemen)n(ted)j(as)e(Mathematica)g(functions,)k
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b Fu(is)g(de\014ned)h(b)n(y)f(the)h(expression)815 2862
y Fl(f)p Fu([)p Fl(a)926 2874 y Fr(;)949 2862 y Fl(b)993
2874 y Fr(;)1016 2862 y Fl(c)1060 2874 y Fr(;)1098 2862
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Fu(,)515 3140 y(and)37 b(stored)f(constan)n(ts)g(and)h(v)-5
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b(is)515 3239 y(ev)-5 b(aluated,)24 b(the)h(dumm)n(y)f(v)-5
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3339 y Fl(x)p Fq(;)14 b Fl(y)p Fq(;)g Fl(z)p Fu(,)26
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b Fl(statement)p Fu(])33 b(is)j(ev)-5 b(aluated)515 3807
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Fq(;)14 b Fl(i0)k Fu(+)i Fl(1)p Fq(;)14 b(:)g(:)g(:)g(;)g
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4705 y Fc(A.2)112 b(Algebraic)35 b(n)m(um)m(b)s(ers)515
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5058 y(b)r(olically)-7 b(.)43 b(Whenev)n(er)29 b(a)h(p)r(olynomial)f
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5506 y(23)p eop
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24 23 bop 515 -60 a Fc(A.3)112 b(Sign)37 b(of)g(an)h(algebraic)f(n)m
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329 y Fq(n)1464 341 y Fo(2)p Fr(k)p 1414 367 124 4 v
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V 133 w(1)p 2067 2123 V 134 w(1)p 2231 2123 V 134 w(1)p
2420 2123 V 134 w(2)1350 2193 y(5)p Fq(=)p Fu(12)p 1556
2223 V 100 w(2)p 1717 2223 V 119 w(1)p 1878 2223 V 100
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2728 y Fl(signum[a)p 872 2728 27 4 v 71 w Fu(+)44 b Fl(b)p
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Fs(\003)i Fl(a)h Fu(+)f Fl(num0)f Fs(\003)h Fl(b\);)639
3027 y(m1)g Fu(=)g Fl(Sign[num0])d Fs(\003)j Fl(\(den1)e
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3126 y(While[Sign[m0])38 b Fs(6)p Fu(=)43 b Fl(Sign[m1],)862
3226 y(m0)f Fu(+)23 b(=)43 b Fl(f0)g Fs(\003)g Fl(m1;)862
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5257 y(constrain)n(t)d(pairs)h Fq(c)1161 5269 y Fr(k)q
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25 24 bop 515 -60 a Fq(s)554 -48 y Fr(k)638 -60 y Fu(=)44
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488 y(\(either)28 b(clo)r(c)n(kwise)f(or)g(coun)n(ter-clo)r(c)n
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eop
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26 25 bop 1040 -60 a Fl(vtest)42 b(=)h(vc)g(>)g(0)g(||)1219
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3533 y(Print["phimap)e(error,)k(",)g(d];)h(Abort[])d(])515
3682 y Fu(Giv)n(en)e(the)i(stored)e(lists)g Fl(dom0)g
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%%Page: 28 28
28 27 bop 639 -56 a Fl(returntime[n)p 1172 -56 27 4 v
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1403 y(d2=translate[limi)o(tp)o(oin)o(t,)o(dom)o([n)o(]])o(;)639
1503 y(If[subdomain[d1,d)o(2])o(,)790 1602 y(d=phimap[d];)790
1702 y(For[i=2,i<=retur)o(nti)o(me)o([n,)o(j])o(,i+)o(+,)933
1802 y(If[disjoint[d,d2)o(],)37 b(d=phimap[d],)1040 1901
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4930 V 31 w(])27 b Fu(is)g(the)h(p)r(erio)r(dic)g(domain)f
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Fr(j)2022 4930 y Fu(,)h(a)f(sub)r(domain)h(of)f Fq(D)2730
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y Fu(.)639 5110 y Fl(orbitpath[j)p 1128 5110 V 27 w(])g
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y Fo(\()p Fr(n)p Fo(\))2037 5133 y Fr(j)2138 5110 y Fu(.)1905
5506 y(28)p eop
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29 28 bop 515 -60 a Ft(F)-8 b(unction)32 b(De\014nition)e(A.17)515
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1189 y(return)23 b(path)g(\()p Fq(j)1020 1201 y Fo(0)1058
1189 y Fq(;)14 b(:)g(:)g(:)f(;)h(j)1276 1201 y Fr(k)1317
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y Fu(In)31 b(this)h(app)r(endix)g(w)n(e)f(presen)n(t)f(a)h(detailed,)i
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1845 y(of)e(the)h(principal)f(elemen)n(ts)g(of)g(the)h(pro)r(ofs)f(of)g
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1945 y Fq(p=q)25 b Fu(=)e(1)p Fq(=)p Fu(5.)35 b(Sp)r(eci\014cally)-7
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3127 y(uvect)e(=)i Fs(ff)p Fl(1,)f(0)p Fs(g)p Fl(,)g
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Fs(g)p Fl(,)f Fs(f)p Fl(tau,)g(tau)p Fs(g)p Fl(,)h Fs(f)p
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%%Page: 30 30
30 29 bop 515 -60 a Fc(B.4)112 b(Return)37 b(tests)g(for)g(scaling)g
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31 30 bop 515 -60 a Fv(C)134 b(T)-11 b(ables)515 222
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2318 y(\005)577 2275 y Fo(\(0\))577 2341 y Fr(j)701 2318
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2459 y Fo(0)2355 2447 y Fu(listed)g(in)g(the)g(fourth)g(column.)515
2577 y(The)e(return)f(paths)h(refer)g(to)g(sequences)f(of)h(domains)g
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4139 y Fo(\()p Fp(\000)p Fo(1\))3238 4205 y Fr(j)515
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32 31 bop 515 -60 a Fu(T)-7 b(ABLE)28 b(VI)r(I)r(I)h(\(c\))83
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33 32 bop 1749 -60 a FB(T)p Fw(ABLE)26 b(I)r(I)r(I)941
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V 515 1254 3213 4 v 513 1657 4 403 v 577 1476 a(2)p Fq(=)p
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1657 V 1416 1326 a([)q(\(0)1514 1296 y Fo(+)1568 1326
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1326 y Fq(;)g(\034)9 b Fu(\))p Fq(;)14 b Fu(\(1)2347
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Fu(0\))p Fq(;)g Fu(\(1)1790 1395 y Fp(\000)1846 1426
y Fq(;)g(\034)9 b Fu(\))p Fq(;)14 b Fu(\(2)2071 1395
y Fo(+)2127 1426 y Fq(;)g Fu(0\)])1416 1525 y([)q(\(0)1514
1495 y Fp(\000)1569 1525 y Fq(;)g(\034)9 b Fu(\))p Fq(;)14
b Fu(\(1)1794 1495 y Fo(+)1850 1525 y Fq(;)g Fu(0\))p
Fq(;)g Fu(\(2)2072 1495 y Fp(\000)2127 1525 y Fq(;)g
Fu(0\))p Fq(;)g Fu(\(1)2349 1495 y Fp(\000)2405 1525
y Fq(;)g(\034)9 b Fu(\)])1416 1625 y([)q(\(1)1514 1595
y Fo(+)1568 1625 y Fq(;)14 b Fu(0\))p Fq(;)g Fu(\(2)1790
1595 y Fp(\000)1846 1625 y Fq(;)g Fu(0\))p Fq(;)g Fu(\(3)2068
1595 y Fo(+)2122 1625 y Fq(;)g Fu(1)k(+)g Fq(\034)9 b
Fu(\)])p 3079 1657 V 3163 1326 a(|)3163 1426 y(\(0)p
Fq(;)14 b Fu(0\))3163 1525 y(\(0)p Fq(;)g(\034)9 b Fu(\))3163
1625 y(|)p 3726 1657 V 515 1660 3213 4 v 513 2262 4 602
v 577 1982 a(1)p Fq(=)p Fu(8)p 762 2262 V 859 1730 a(\012)859
1829 y(\012)919 1841 y Fo(0)859 1929 y Fu(\012)919 1941
y Fo(1)859 2029 y Fu(\012)919 2041 y Fo(2)859 2128 y
Fu(\012)919 2140 y Fo(3)859 2232 y Fq(D)930 2202 y Fo(\(0\))p
1113 2262 V 1203 1732 a Fu(4)1203 1831 y(1)1203 1931
y(3)1203 2031 y(5)1203 2130 y(3)1203 2230 y(3)p 1332
2262 V 1416 1732 a([)q(\(0)1514 1702 y Fp(\000)1569 1732
y Fq(;)14 b Fu(0\))p Fq(;)g Fu(\(1)1791 1702 y Fp(\000)1847
1732 y Fq(;)g Fu(0\))p Fq(;)g Fu(\(0)2069 1702 y Fo(+)2123
1732 y Fq(;)g(\034)9 b Fu(\))p Fq(;)14 b Fu(\(1)2348
1702 y Fo(+)2404 1732 y Fq(;)g(\034)9 b Fu(\)])1416 1831
y([)q(\(0)1514 1801 y Fp(\000)1569 1831 y Fq(;)14 b Fu(0\))p
Fq(;)g Fu(\(1)1791 1801 y Fp(\000)1847 1831 y Fq(;)g
Fu(0\))p Fq(;)g Fu(\(2)2069 1801 y Fp(\000)2124 1831
y Fq(;)g Fu(0\)])1416 1931 y([)q(\(0)1514 1901 y Fp(\000)1569
1931 y Fq(;)g Fu(0\))p Fq(;)g Fu(\(1)1791 1901 y Fp(\000)1847
1931 y Fq(;)g Fu(0\))p Fq(;)g Fu(\(2)2069 1901 y Fp(\000)2124
1931 y Fq(;)g Fs(\000)p Fq(\034)9 b Fu(\)])1416 2031
y([)q(\(0)1514 2000 y Fp(\000)1569 2031 y Fq(;)14 b Fu(0\))p
Fq(;)g Fu(\(1)1791 2000 y Fo(+)1846 2031 y Fq(;)g(\034)9
b Fu(\))p Fq(;)14 b Fu(\(2)2071 2000 y Fp(\000)2127 2031
y Fq(;)g Fs(\000)p Fu(2)p Fq(\034)9 b Fu(\))p Fq(;)14
b Fu(\(0)2459 2000 y Fo(+)2514 2031 y Fq(;)g(\034)9 b
Fu(\))p Fq(;)14 b Fu(\(2)2739 2000 y Fo(+)2795 2031 y
Fq(;)g Fs(\000)p Fq(\034)9 b Fu(\)])1416 2130 y([)q(\(0)1514
2100 y Fo(+)1568 2130 y Fq(;)14 b(\034)9 b Fu(\))p Fq(;)14
b Fu(\(1)1793 2100 y Fo(+)1849 2130 y Fq(;)g(\034)9 b
Fu(\))p Fq(;)14 b Fu(\(2)2074 2100 y Fo(+)2130 2130 y
Fq(;)g Fs(\000)p Fu(2)p Fq(\034)9 b Fu(\)])1416 2230
y([)q(\(0)1514 2200 y Fo(+)1568 2230 y Fq(;)14 b Fu(0\))p
Fq(;)g Fu(\(1)1790 2200 y Fo(+)1845 2230 y Fq(;)g Fu(0\))p
Fq(;)g Fu(\(2)2067 2200 y Fo(+)2121 2230 y Fq(;)g Fu(5)k
Fs(\000)g Fu(7)p Fq(\034)9 b Fu(\)])p 3079 2262 V 3163
1732 a(|)3163 1831 y(\(0)p Fq(;)14 b Fu(0\))3163 1931
y(\(0)p Fq(;)g(\034)9 b Fu(\))3163 2031 y(\(0)p Fq(;)14
b Fu(2)p Fq(\034)9 b Fu(\))3163 2130 y(\(0)p Fq(;)14
b Fu(3)p Fq(\034)9 b Fu(\))3163 2230 y(|)p 3726 2262
V 515 2265 3213 4 v 513 2767 4 503 v 577 2537 a(3)p Fq(=)p
Fu(8)p 762 2767 V 859 2335 a(\012)859 2434 y(\012)919
2446 y Fo(0)859 2534 y Fu(\012)919 2546 y Fo(1)859 2634
y Fu(\012)919 2646 y Fo(2)859 2737 y Fq(D)930 2707 y
Fo(\(0\))p 1113 2767 V 1203 2337 a Fu(4)1203 2436 y(3)1203
2536 y(5)1203 2636 y(3)1203 2735 y(3)p 1332 2767 V 1416
2337 a([)q(\(0)1514 2307 y Fo(+)1568 2337 y Fq(;)14 b
Fu(0\))p Fq(;)g Fu(\(1)1790 2307 y Fo(+)1845 2337 y Fq(;)g
Fu(0\))p Fq(;)g Fu(\(0)2067 2307 y Fp(\000)2122 2337
y Fq(;)g(\034)9 b Fu(\))p Fq(;)14 b Fu(\(1)2347 2307
y Fp(\000)2404 2337 y Fq(;)g(\034)9 b Fu(\)])1416 2436
y([)q(\(0)1514 2406 y Fo(+)1568 2436 y Fq(;)14 b Fu(0\))p
Fq(;)g Fu(\(1)1790 2406 y Fp(\000)1846 2436 y Fq(;)g(\034)9
b Fu(\))p Fq(;)14 b Fu(\(2)2071 2406 y Fo(+)2127 2436
y Fq(;)g(\034)9 b Fu(\)])1416 2536 y([)q(\(0)1514 2506
y Fp(\000)1569 2536 y Fq(;)14 b(\034)9 b Fu(\))p Fq(;)14
b Fu(\(2)1794 2506 y Fo(+)1850 2536 y Fq(;)g Fu(0\))p
Fq(;)g Fu(\(0)2072 2506 y Fo(+)2127 2536 y Fq(;)g Fu(0\))p
Fq(;)g Fu(\(2)2349 2506 y Fp(\000)2404 2536 y Fq(;)g(\034)9
b Fu(\))p Fq(;)14 b Fu(\(1)2629 2506 y Fp(\000)2686 2536
y Fq(;)g(\034)9 b Fu(\)])1416 2636 y([)q(\(0)1514 2606
y Fp(\000)1569 2636 y Fq(;)14 b(\034)9 b Fu(\))p Fq(;)14
b Fu(\(1)1794 2606 y Fo(+)1850 2636 y Fq(;)g Fu(0\))p
Fq(;)g Fu(\(2)2072 2606 y Fp(\000)2127 2636 y Fq(;)g
Fu(0\)])1416 2735 y([)q(\(1)1514 2705 y Fp(\000)1569
2735 y Fq(;)g Fu(0\))p Fq(;)g Fu(\(4)1791 2705 y Fp(\000)1847
2735 y Fq(;)g Fu(0\))p Fq(;)g Fu(\(7)2069 2705 y Fp(\000)2124
2735 y Fq(;)g Fu(2)k(+)g(3)p Fq(\034)9 b Fu(\)])p 3079
2767 V 3163 2337 a(|)3163 2436 y(\(0)p Fq(;)14 b Fs(\000)p
Fq(\034)9 b Fu(\))3163 2536 y(\(0)p Fq(;)14 b Fu(0\))3163
2636 y(\(0)p Fq(;)g(\034)9 b Fu(\))3163 2735 y(|)p 3726
2767 V 515 2770 3213 4 v 513 3273 4 503 v 556 3042 a(1)p
Fq(=)p Fu(10)p 762 3273 V 859 2840 a(\012)859 2940 y(\012)919
2952 y Fo(0)859 3039 y Fu(\012)919 3051 y Fo(1)859 3139
y Fu(\012)919 3151 y Fo(2)859 3243 y Fq(D)930 3213 y
Fo(\(0\))p 1113 3273 V 1203 2842 a Fu(4)1203 2942 y(1)1203
3041 y(4)1203 3141 y(3)1203 3241 y(3)p 1332 3273 V 1416
2842 a([)q(\(0)1514 2812 y Fp(\000)1569 2842 y Fq(;)14
b Fu(0\))p Fq(;)g Fu(\(1)1791 2812 y Fp(\000)1847 2842
y Fq(;)g Fu(0\))p Fq(;)g Fu(\(0)2069 2812 y Fo(+)2123
2842 y Fq(;)g(\034)9 b Fu(\))p Fq(;)14 b Fu(\(1)2348
2812 y Fo(+)2404 2842 y Fq(;)g(\034)9 b Fu(\)])1416 2942
y([)q(\(0)1514 2912 y Fp(\000)1569 2942 y Fq(;)14 b Fu(0\))p
Fq(;)g Fu(\(1)1791 2912 y Fp(\000)1847 2942 y Fq(;)g
Fu(0\))p Fq(;)g Fu(\(2)2069 2912 y Fp(\000)2124 2942
y Fq(;)g Fu(0\)])1416 3041 y([)q(\(0)1514 3011 y Fp(\000)1569
3041 y Fq(;)g Fu(0\))p Fq(;)g Fu(\(2)1791 3011 y Fo(+)1846
3041 y Fq(;)g Fu(0\))p Fq(;)g Fu(\(1)2068 3011 y Fp(\000)2123
3041 y Fq(;)g Fu(0\))p Fq(;)g Fu(\(2)2345 3011 y Fp(\000)2401
3041 y Fq(;)g Fs(\000)p Fq(\034)9 b Fu(\))p Fq(;)14 b
Fu(\(1)2691 3011 y Fo(+)2746 3041 y Fq(;)g(\034)9 b Fu(\)])1416
3141 y([)q(\(0)1514 3111 y Fo(+)1568 3141 y Fq(;)14 b(\034)9
b Fu(\))p Fq(;)14 b Fu(\(1)1793 3111 y Fo(+)1849 3141
y Fq(;)g(\034)9 b Fu(\))p Fq(;)14 b Fu(\(2)2074 3111
y Fo(+)2130 3141 y Fq(;)g Fs(\000)p Fq(\034)9 b Fu(\)])1416
3241 y([)q(\(0)1514 3211 y Fo(+)1568 3241 y Fq(;)14 b
Fu(0\))p Fq(;)g Fu(\(2)1790 3211 y Fo(+)1845 3241 y Fq(;)g
Fu(5)k Fs(\000)g Fu(8)p Fq(\034)9 b Fu(\))p Fq(;)14 b
Fu(\(8)2255 3211 y Fo(+)2310 3241 y Fq(;)g Fu(0\)])p
3079 3273 V 3163 2842 a(|)3163 2942 y(\(0)p Fq(;)g Fu(0\))3163
3041 y(\(0)p Fq(;)g(\034)9 b Fu(\))3163 3141 y(\(0)p
Fq(;)14 b Fu(2)p Fq(\034)9 b Fu(\))3163 3241 y(|)p 3726
3273 V 515 3276 3213 4 v 513 3778 4 503 v 556 3548 a(3)p
Fq(=)p Fu(10)p 762 3778 V 859 3346 a(\012)859 3445 y(\012)919
3457 y Fo(0)859 3545 y Fu(\012)919 3557 y Fo(1)859 3645
y Fu(\012)919 3657 y Fo(2)859 3748 y Fq(D)930 3718 y
Fo(\(0\))p 1113 3778 V 1203 3348 a Fu(4)1203 3447 y(3)1203
3547 y(5)1203 3647 y(3)1203 3746 y(3)p 1332 3778 V 1416
3348 a([)q(\(0)1514 3318 y Fo(+)1568 3348 y Fq(;)14 b
Fu(0\))p Fq(;)g Fu(\(1)1790 3318 y Fo(+)1845 3348 y Fq(;)g
Fu(0\))p Fq(;)g Fu(\(0)2067 3318 y Fp(\000)2122 3348
y Fq(;)g(\034)9 b Fu(\))p Fq(;)14 b Fu(\(1)2347 3318
y Fp(\000)2404 3348 y Fq(;)g(\034)9 b Fu(\)])1416 3447
y([)q(\(0)1514 3417 y Fo(+)1568 3447 y Fq(;)14 b Fu(0\))p
Fq(;)g Fu(\(1)1790 3417 y Fp(\000)1846 3447 y Fq(;)g(\034)9
b Fu(\))p Fq(;)14 b Fu(\(2)2071 3417 y Fo(+)2127 3447
y Fq(;)g(\034)9 b Fu(\)])1416 3547 y([)q(\(0)1514 3517
y Fp(\000)1569 3547 y Fq(;)14 b(\034)9 b Fu(\))p Fq(;)14
b Fu(\(1)1794 3517 y Fp(\000)1851 3547 y Fq(;)g(\034)9
b Fu(\))p Fq(;)14 b Fu(\(2)2076 3517 y Fp(\000)2133 3547
y Fq(;)g(\034)9 b Fu(\))p Fq(;)14 b Fu(\(0)2358 3517
y Fo(+)2413 3547 y Fq(;)g Fu(0\))p Fq(;)g Fu(\(2)2635
3517 y Fo(+)2690 3547 y Fq(;)g Fu(0\)])1416 3647 y([)q(\(0)1514
3616 y Fp(\000)1569 3647 y Fq(;)g(\034)9 b Fu(\))p Fq(;)14
b Fu(\(1)1794 3616 y Fo(+)1850 3647 y Fq(;)g Fu(0\))p
Fq(;)g Fu(\(2)2072 3616 y Fp(\000)2127 3647 y Fq(;)g
Fu(0\)])1416 3746 y([)q(\(5)1514 3716 y Fp(\000)1569
3746 y Fq(;)g Fu(0\))p Fq(;)g Fu(\(1)1791 3716 y Fp(\000)1847
3746 y Fq(;)g Fu(0\))p Fq(;)g Fu(\(7)2069 3716 y Fp(\000)2124
3746 y Fq(;)g Fs(\000)p Fu(1\)])p 3079 3778 V 3163 3348
a(|)3163 3447 y(\(0)p Fq(;)g Fs(\000)p Fq(\034)9 b Fu(\))3163
3547 y(\(0)p Fq(;)14 b Fu(0\))3163 3647 y(\(0)p Fq(;)g(\034)9
b Fu(\))3163 3746 y(|)p 3726 3778 V 515 3781 3213 4 v
513 4383 4 602 v 556 4103 a(1)p Fq(=)p Fu(12)p 762 4383
V 859 3851 a(\012)859 3951 y(\012)919 3963 y Fo(0)859
4050 y Fu(\012)919 4062 y Fo(1)859 4150 y Fu(\012)919
4162 y Fo(2)859 4250 y Fu(\012)919 4262 y Fo(3)859 4353
y Fq(D)930 4323 y Fo(\(0\))p 1113 4383 V 1203 3853 a
Fu(4)1203 3953 y(1)1203 4052 y(3)1203 4152 y(5)1203 4252
y(3)1203 4351 y(3)p 1332 4383 V 1416 3853 a([)q(\(0)1514
3823 y Fp(\000)1569 3853 y Fq(;)14 b Fu(0\))p Fq(;)g
Fu(\(1)1791 3823 y Fp(\000)1847 3853 y Fq(;)g Fu(0\))p
Fq(;)g Fu(\(0)2069 3823 y Fo(+)2123 3853 y Fq(;)g(\034)9
b Fu(\))p Fq(;)14 b Fu(\(1)2348 3823 y Fo(+)2404 3853
y Fq(;)g(\034)9 b Fu(\)])1416 3953 y([)q(\(0)1514 3923
y Fp(\000)1569 3953 y Fq(;)14 b Fu(0\))p Fq(;)g Fu(\(1)1791
3923 y Fp(\000)1847 3953 y Fq(;)g Fu(0\))p Fq(;)g Fu(\(2)2069
3923 y Fp(\000)2124 3953 y Fq(;)g Fu(0\)])1416 4052 y([)q(\(0)1514
4022 y Fp(\000)1569 4052 y Fq(;)g Fu(0\))p Fq(;)g Fu(\(2)1791
4022 y Fo(+)1846 4052 y Fq(;)g Fu(0\))p Fq(;)g Fu(\(1)2068
4022 y Fp(\000)2123 4052 y Fq(;)g Fu(0\))p Fq(;)g Fu(\(2)2345
4022 y Fp(\000)2401 4052 y Fq(;)g Fs(\000)p Fq(\034)9
b Fu(\)])1416 4152 y([)q(\(0)1514 4122 y Fp(\000)1569
4152 y Fq(;)14 b Fu(0\))p Fq(;)g Fu(\(1)1791 4122 y Fo(+)1846
4152 y Fq(;)g(\034)9 b Fu(\))p Fq(;)14 b Fu(\(2)2071
4122 y Fp(\000)2127 4152 y Fq(;)g Fs(\000)p Fu(2)p Fq(\034)9
b Fu(\))p Fq(;)14 b Fu(\(0)2459 4122 y Fo(+)2514 4152
y Fq(;)g(\034)9 b Fu(\))p Fq(;)14 b Fu(\(2)2739 4122
y Fo(+)2795 4152 y Fq(;)g Fs(\000)p Fq(\034)9 b Fu(\)])1416
4252 y([)q(\(0)1514 4221 y Fo(+)1568 4252 y Fq(;)14 b(\034)9
b Fu(\))p Fq(;)14 b Fu(\(1)1793 4221 y Fo(+)1849 4252
y Fq(;)g(\034)9 b Fu(\))p Fq(;)14 b Fu(\(2)2074 4221
y Fo(+)2130 4252 y Fq(;)g Fs(\000)p Fu(2)p Fq(\034)9
b Fu(\)])1416 4351 y([)q(\(0)1514 4321 y Fo(+)1568 4351
y Fq(;)14 b Fu(0\))p Fq(;)g Fu(\(1)1790 4321 y Fo(+)1845
4351 y Fq(;)g Fu(0\))p Fq(;)g Fu(\(9)2067 4321 y Fo(+)2121
4351 y Fq(;)g Fs(\000)p Fu(15)j(+)h(26)p Fq(\034)9 b
Fu(\)])p 3079 4383 V 3163 3853 a(|)3163 3953 y(\(0)p
Fq(;)14 b Fu(0\))3163 4052 y(\(0)p Fq(;)g(\034)9 b Fu(\))3163
4152 y(\(0)p Fq(;)14 b Fu(2)p Fq(\034)9 b Fu(\))3163
4252 y(\(0)p Fq(;)14 b Fu(3)p Fq(\034)9 b Fu(\))3163
4351 y(|)p 3726 4383 V 515 4386 3213 4 v 513 5018 4 632
v 556 4723 a(5)p Fq(=)p Fu(12)p 762 5018 V 859 4456 a(\012)859
4556 y(\012)919 4568 y Fo(0)859 4655 y Fu(\012)919 4667
y Fo(1)859 4755 y Fu(\012)919 4767 y Fo(2)859 4872 y
Fq(D)930 4829 y Fo(\(0\))928 4881 y Fr(a)859 4988 y Fq(D)930
4945 y Fo(\(0\))928 5013 y Fr(b)p 1113 5018 V 1203 4473
a Fu(4)1203 4573 y(3)1203 4672 y(5)1203 4772 y(3)1203
4872 y(3)1203 4971 y(3)p 1332 5018 V 1416 4473 a([)q(\(0)1514
4443 y Fo(+)1568 4473 y Fq(;)14 b Fu(0\))p Fq(;)g Fu(\(1)1790
4443 y Fo(+)1845 4473 y Fq(;)g Fu(0\))p Fq(;)g Fu(\(0)2067
4443 y Fp(\000)2122 4473 y Fq(;)g(\034)9 b Fu(\))p Fq(;)14
b Fu(\(1)2347 4443 y Fp(\000)2404 4473 y Fq(;)g(\034)9
b Fu(\)])1416 4573 y([)q(\(0)1514 4543 y Fo(+)1568 4573
y Fq(;)14 b Fu(0\))p Fq(;)g Fu(\(1)1790 4543 y Fp(\000)1846
4573 y Fq(;)g(\034)9 b Fu(\))p Fq(;)14 b Fu(\(2)2071
4543 y Fo(+)2127 4573 y Fq(;)g(\034)9 b Fu(\)])1416 4672
y([)q(\(0)1514 4642 y Fp(\000)1569 4672 y Fq(;)14 b(\034)9
b Fu(\))p Fq(;)14 b Fu(\(2)1794 4642 y Fo(+)1850 4672
y Fq(;)g Fu(0\))p Fq(;)g Fu(\(0)2072 4642 y Fo(+)2127
4672 y Fq(;)g Fu(0\))p Fq(;)g Fu(\(2)2349 4642 y Fp(\000)2404
4672 y Fq(;)g(\034)9 b Fu(\))p Fq(;)14 b Fu(\(1)2629
4642 y Fp(\000)2686 4672 y Fq(;)g(\034)9 b Fu(\)])1416
4772 y([)q(\(0)1514 4742 y Fp(\000)1569 4772 y Fq(;)14
b(\034)9 b Fu(\))p Fq(;)14 b Fu(\(1)1794 4742 y Fo(+)1850
4772 y Fq(;)g Fu(0\))p Fq(;)g Fu(\(2)2072 4742 y Fp(\000)2127
4772 y Fq(;)g Fu(0\)])1416 4872 y([)q(\(4)1514 4841 y
Fp(\000)1569 4872 y Fq(;)g Fu(0\))p Fq(;)g Fu(\(11)1833
4841 y Fp(\000)1888 4872 y Fq(;)g Fu(0\))p Fq(;)g Fu(\(7)2110
4841 y Fp(\000)2166 4872 y Fq(;)g Fu(209)j(+)h(362)p
Fq(\034)9 b Fu(\)])1416 4971 y([)q(\(6)1514 4941 y Fp(\000)1569
4971 y Fq(;)14 b Fu(0\))p Fq(;)g Fu(\(11)1833 4941 y
Fp(\000)1888 4971 y Fq(;)g Fu(0\))p Fq(;)g Fu(\(3)2110
4941 y Fp(\000)2166 4971 y Fq(;)g Fu(209)j(+)h(362)p
Fq(\034)9 b Fu(\)])p 3079 5018 V 3163 4473 a(|)3163 4573
y(\(0)p Fq(;)14 b Fs(\000)p Fq(\034)9 b Fu(\))3163 4672
y(\(0)p Fq(;)14 b Fu(0\))3163 4772 y(\(0)p Fq(;)g(\034)9
b Fu(\))3163 4872 y(|)3163 4971 y(|)p 3726 5018 V 515
5021 3213 4 v 1905 5506 a(33)p eop
%%Page: 34 34
34 33 bop 1947 5257 a
 gsave currentpoint currentpoint translate 90 neg rotate neg exch neg
exch translate
 1947 5257 a 4357 4087 a FB(T)p
Fw(ABLE)33 b FB(IV)g(\(a\))4123 4212 y Fw(RETURN-MAP)25
b(P)-6 b(AR)g(TITIONS)p 2052 4406 5190 4 v 2050 4527
4 122 v 2115 4493 a Fq(p=q)p 2300 4527 V 161 w(\020)2439
4463 y Fp(\003)p 2571 4527 V 2702 4493 a Fq(!)p 2885
4527 V 217 w(j)p 3092 4527 V 130 w Fu(#)p Fq(V)p 3311
4527 V 185 w Fu(domain)28 b Fq(D)3804 4450 y Fo(\(0\))3802
4516 y Fr(j)p 5423 4527 V 5466 4493 a Fu(return)f(path)p
6060 4527 V 261 w Fq(t)6177 4450 y Fo(\(0\))6177 4516
y Fr(j)p 6350 4527 V 6394 4493 a Fu(translation)f Fq(\016)6854
4450 y Fo(\(0\))6851 4516 y Fr(j)p 7240 4527 V 2052 4531
5190 4 v 2052 4547 V 2050 4846 4 299 v 2115 4718 a Fu(1)p
Fq(=)p Fu(5)p 2300 4846 V 104 w(\(0)p Fq(;)14 b Fu(0\))p
2571 4846 V 105 w(2)k Fs(\000)g Fq(\034)p 2885 4846 V
2969 4617 a Fu(0)2969 4717 y(1)2969 4816 y(2)p 3092 4846
V 3183 4617 a(4)3183 4717 y(3)3183 4816 y(3)p 3311 4846
V 3396 4617 a([\(0)3493 4587 y Fp(\000)3549 4617 y Fq(;)c
Fu(0\))p Fq(;)g Fu(\(3)3771 4587 y Fp(\000)3826 4617
y Fq(;)g Fu(2)k Fs(\000)g Fq(\034)9 b Fu(\))p Fq(;)14
b Fu(\(1)4194 4587 y Fp(\000)4251 4617 y Fq(;)g Fu(0\))p
Fq(;)g Fu(\(4)4473 4587 y Fp(\000)4528 4617 y Fq(;)g
Fu(1)k Fs(\000)g Fq(\034)9 b Fu(\))p Fq(;)14 b Fu(\(1)4896
4587 y Fo(+)4952 4617 y Fq(;)g(\034)28 b Fs(\000)18 b
Fu(1\)])3396 4717 y([\(0)3493 4687 y Fp(\000)3549 4717
y Fq(;)c Fu(0\))p Fq(;)g Fu(\(2)3771 4687 y Fo(+)3825
4717 y Fq(;)g Fu(0\))p Fq(;)g Fu(\(1)4047 4687 y Fp(\000)4103
4717 y Fq(;)g Fu(0\))p Fq(;)g Fu(\(4)4325 4687 y Fp(\000)4380
4717 y Fq(;)g Fu(3)k Fs(\000)g Fu(2)p Fq(\034)9 b Fu(\))p
Fq(;)14 b Fu(\(3)4790 4687 y Fo(+)4845 4717 y Fq(;)g
Fu(2)k Fs(\000)g Fq(\034)9 b Fu(\)])3396 4816 y([\(1)3493
4786 y Fp(\000)3549 4816 y Fq(;)14 b Fu(0\))p Fq(;)g
Fu(\(3)3771 4786 y Fo(+)3825 4816 y Fq(;)g Fu(2)k Fs(\000)g
Fq(\034)9 b Fu(\))p Fq(;)14 b Fu(\(4)4193 4786 y Fo(+)4249
4816 y Fq(;)g Fu(3)k Fs(\000)g Fu(2)p Fq(\034)9 b Fu(\)])p
5423 4846 V 5507 4617 a(10)5507 4717 y(1020)5507 4816
y(10\(20\))5739 4786 y Fo(3)p 6060 4846 V 6186 4617 a
Fu(4)6165 4717 y(10)6165 4816 y(22)p 6350 4846 V 6435
4617 a(\()p Fs(\000)p Fu(1)18 b(+)g Fq(\034)5 b(;)14
b Fu(0\))6435 4717 y(\(0)p Fq(;)g Fu(2)k Fs(\000)g Fq(\034)9
b Fu(\))6435 4816 y(\(2)18 b Fs(\000)g Fq(\034)5 b(;)14
b Fu(0\))p 7240 4846 V 2052 4850 5190 4 v 2050 5049 4
200 v 2115 4970 a(2)p Fq(=)p Fu(5)p 2300 5049 V 104 w(\(0)p
Fq(;)g Fu(0\))p 2571 5049 V 105 w(1)k(+)g Fq(\034)p 2885
5049 V 2969 4919 a Fu(0)2969 5019 y(1)p 3092 5049 V 3183
4919 a(3)3183 5019 y(3)p 3311 5049 V 3396 4919 a([\(3)3493
4889 y Fo(+)3548 4919 y Fq(;)c Fu(1)k(+)g Fq(\034)9 b
Fu(\))p Fq(;)14 b Fu(\(1)3916 4889 y Fp(\000)3973 4919
y Fq(;)g Fs(\000)p Fu(1)j Fs(\000)h Fq(\034)9 b Fu(\))p
Fq(;)14 b Fu(\(0)4405 4889 y Fo(+)4461 4919 y Fq(;)g
Fu(1)k(+)g(2)p Fq(\034)9 b Fu(\))p Fq(;)14 b Fu(\(1)4871
4889 y Fo(+)4926 4919 y Fq(;)g Fu(0\))p Fq(;)g Fu(\(0)5148
4889 y Fp(\000)5203 4919 y Fq(;)g(\034)9 b Fu(\)])3396
5019 y([\(0)3493 4989 y Fp(\000)3549 5019 y Fq(;)14 b
Fu(1)k(+)g(2)p Fq(\034)9 b Fu(\))p Fq(;)14 b Fu(\(1)3959
4989 y Fo(+)4014 5019 y Fq(;)g Fu(0\))p Fq(;)g Fu(\(2)4236
4989 y Fp(\000)4291 5019 y Fq(;)g Fu(0\)])p 5423 5049
V 5507 4919 a(10)5591 4889 y Fo(2)5507 5019 y Fu(10)5591
4989 y Fo(2)5628 5019 y Fu(1)5670 4989 y Fo(2)p 6060
5049 V 6186 4919 a Fu(2)6186 5019 y(3)p 6350 5049 V 6435
4919 a(\()p Fq(\034)5 b(;)14 b Fs(\000)p Fu(1)k Fs(\000)g
Fq(\034)9 b Fu(\))6435 5019 y(\()p Fs(\000)p Fu(1)18
b Fs(\000)g Fq(\034)5 b(;)14 b Fu(1)k(+)g(2)p Fq(\034)9
b Fu(\))p 7240 5049 V 2052 5052 5190 4 v 2050 5351 4
299 v 2115 5222 a(1)p Fq(=)p Fu(8)p 2300 5351 V 102 w(\()p
Fq(\034)c(;)14 b(\034)9 b Fu(\))p 2571 5351 V 85 w(3)18
b Fs(\000)g Fu(4)p Fq(\034)p 2885 5351 V 2969 5122 a
Fu(0)2969 5221 y(1)2969 5321 y(2)p 3092 5351 V 3183 5122
a(4)3183 5221 y(2)3183 5321 y(3)p 3311 5351 V 3396 5122
a([\(2)3493 5092 y Fo(+)3548 5122 y Fq(;)c Fu(5)k Fs(\000)g
Fu(7)p Fq(\034)9 b Fu(\))p Fq(;)14 b Fu(\(0)3958 5092
y Fo(+)4013 5122 y Fq(;)g Fu(0\))p Fq(;)g Fu(\(3)4235
5092 y Fo(+)4290 5122 y Fq(;)g Fu(12)j Fs(\000)h Fu(17)p
Fq(\034)9 b Fu(\))p Fq(;)14 b Fu(\(1)4783 5092 y Fo(+)4838
5122 y Fq(;)g Fu(0\)])3396 5221 y([\(0)3493 5191 y Fo(+)3548
5221 y Fq(;)g Fu(0\))p Fq(;)g Fu(\(3)3770 5191 y Fp(\000)3825
5221 y Fq(;)g Fu(12)k Fs(\000)g Fu(17)p Fq(\034)9 b Fu(\))p
Fq(;)14 b Fu(\(1)4319 5191 y Fo(+)4374 5221 y Fq(;)g
Fu(0\))p Fq(;)g Fu(\(7)4596 5191 y Fp(\000)4651 5221
y Fq(;)g Fs(\000)p Fu(12)j(+)h(17)p Fq(\034)9 b Fu(\)])3396
5321 y([\(0)3493 5291 y Fo(+)3548 5321 y Fq(;)14 b Fu(0\))p
Fq(;)g Fu(\(1)3770 5291 y Fo(+)3824 5321 y Fq(;)g Fu(0\))p
Fq(;)g Fu(\(7)4046 5291 y Fo(+)4101 5321 y Fq(;)g Fs(\000)p
Fu(12)j(+)h(17)p Fq(\034)9 b Fu(\)])p 5423 5351 V 5507
5122 a(20)5591 5092 y Fo(4)5628 5122 y Fu(20)5507 5221
y(20)5591 5191 y Fo(4)5628 5221 y Fu(\(20\))5776 5191
y Fo(2)5812 5221 y Fu(1020)5507 5321 y(20)5591 5291 y
Fo(4)5628 5321 y Fu(\(20\))5776 5291 y Fo(4)p 6060 5351
V 6186 5122 a Fu(49)6145 5221 y(128)6145 5321 y(118)p
6350 5351 V 6435 5122 a(\(0)p Fq(;)14 b Fs(\000)p Fu(5)j(+)h(7)p
Fq(\034)9 b Fu(\))6435 5221 y(\(12)18 b Fs(\000)g Fu(17)p
Fq(\034)5 b(;)14 b Fu(0\))6435 5321 y(\(12)k Fs(\000)g
Fu(17)p Fq(\034)5 b(;)14 b Fu(12)i Fs(\000)i Fu(17)p
Fq(\034)9 b Fu(\))p 7240 5351 V 2052 5354 5190 4 v 2050
5653 4 299 v 2115 5524 a(3)p Fq(=)p Fu(8)p 2300 5653
V 102 w(\(0)p Fq(;)14 b(\034)9 b Fu(\))p 2571 5653 V
84 w(3)18 b(+)g(4)p Fq(\034)p 2885 5653 V 2969 5424 a
Fu(0)2969 5524 y(1)2969 5623 y(2)p 3092 5653 V 3183 5424
a(4)3183 5524 y(2)3183 5623 y(3)p 3311 5653 V 3396 5424
a([\(4)3493 5394 y Fp(\000)3549 5424 y Fq(;)c Fu(0\))p
Fq(;)g Fu(\(2)3771 5394 y Fp(\000)3826 5424 y Fq(;)g
Fu(5)k(+)g(7)p Fq(\034)9 b Fu(\))p Fq(;)14 b Fu(\(1)4236
5394 y Fp(\000)4292 5424 y Fq(;)g Fu(0\))p Fq(;)g Fu(\(7)4514
5394 y Fp(\000)4570 5424 y Fq(;)g Fu(2)k(+)g(3)p Fq(\034)9
b Fu(\)])3396 5524 y([\(1)3493 5494 y Fp(\000)3549 5524
y Fq(;)14 b Fu(0\))p Fq(;)g Fu(\(2)3771 5494 y Fo(+)3825
5524 y Fq(;)g Fu(5)k(+)g(7)p Fq(\034)9 b Fu(\))p Fq(;)14
b Fu(\(4)4235 5494 y Fp(\000)4291 5524 y Fq(;)g Fu(0\))p
Fq(;)g Fu(\(6)4513 5494 y Fo(+)4568 5524 y Fq(;)g Fs(\000)p
Fu(5)j Fs(\000)h Fu(7)p Fq(\034)9 b Fu(\)])3396 5623
y([\(1)3493 5593 y Fp(\000)3549 5623 y Fq(;)14 b Fu(0\))p
Fq(;)g Fu(\(4)3771 5593 y Fp(\000)3826 5623 y Fq(;)g
Fu(0\))p Fq(;)g Fu(\(6)4048 5593 y Fp(\000)4104 5623
y Fq(;)g Fs(\000)p Fu(5)j Fs(\000)h Fu(7)p Fq(\034)9
b Fu(\)])p 5423 5653 V 5507 5424 a(20)5591 5394 y Fo(4)5628
5424 y Fu(20)5507 5524 y(20)5591 5494 y Fo(4)5628 5524
y Fu(\(20\))5776 5494 y Fo(2)5812 5524 y Fu(1020)5507
5623 y(20)5591 5593 y Fo(4)5628 5623 y Fu(\(20\))5776
5593 y Fo(4)p 6060 5653 V 6165 5424 a Fu(19)6165 5524
y(40)6165 5623 y(34)p 6350 5653 V 6435 5424 a(\(2)18
b(+)g(3)p Fq(\034)5 b(;)14 b Fu(0\))6435 5524 y(\(0)p
Fq(;)g Fu(5)k(+)g(7)p Fq(\034)9 b Fu(\))6435 5623 y(\()p
Fs(\000)p Fu(5)18 b Fs(\000)g Fu(7)p Fq(\034)5 b(;)14
b Fu(5)j(+)h(7)p Fq(\034)9 b Fu(\))p 7240 5653 V 2052
5656 5190 4 v 2050 5955 4 299 v 2094 5827 a(1)p Fq(=)p
Fu(10)p 2300 5955 V 81 w(\()p Fq(\034)c(;)14 b(\034)9
b Fu(\))p 2571 5955 V 105 w(1)18 b Fs(\000)g Fq(\034)p
2885 5955 V 2969 5726 a Fu(0)2969 5826 y(1)2969 5925
y(2)p 3092 5955 V 3183 5726 a(4)3183 5826 y(3)3183 5925
y(3)p 3311 5955 V 3396 5726 a([\(0)3493 5696 y Fo(+)3548
5726 y Fq(;)c Fu(0\))p Fq(;)g Fu(\(4)3770 5696 y Fo(+)3824
5726 y Fq(;)g Fu(8)k Fs(\000)g Fu(13)p Fq(\034)9 b Fu(\))p
Fq(;)14 b Fu(\(8)4276 5696 y Fo(+)4331 5726 y Fq(;)g
Fu(0\))p Fq(;)g Fu(\(2)4553 5696 y Fo(+)4608 5726 y Fq(;)g
Fu(5)j Fs(\000)i Fu(8)p Fq(\034)9 b Fu(\)])3396 5826
y([\(0)3493 5796 y Fo(+)3548 5826 y Fq(;)14 b Fu(0\))p
Fq(;)g Fu(\(2)3770 5796 y Fo(+)3824 5826 y Fq(;)g Fu(13)k
Fs(\000)g Fu(21)p Fq(\034)9 b Fu(\))p Fq(;)14 b Fu(\(8)4318
5796 y Fo(+)4373 5826 y Fq(;)g Fu(0\)])3396 5925 y([\(2)3493
5895 y Fp(\000)3549 5925 y Fq(;)g Fu(13)j Fs(\000)h Fu(21)p
Fq(\034)9 b Fu(\))p Fq(;)14 b Fu(\(8)4042 5895 y Fo(+)4097
5925 y Fq(;)g Fu(0\))p Fq(;)g Fu(\(4)4319 5895 y Fp(\000)4374
5925 y Fq(;)g Fu(8)k Fs(\000)g Fu(13)p Fq(\034)9 b Fu(\))p
Fq(;)14 b Fu(\(0)4826 5895 y Fo(+)4881 5925 y Fq(;)g
Fu(0\)\)])p 5423 5955 V 5507 5726 a(10)5507 5826 y(1020)5507
5925 y(10\(20\))5739 5895 y Fo(3)p 6060 5955 V 6186 5726
a Fu(42)6186 5826 y(70)6145 5925 y(126)p 6350 5955 V
6435 5726 a(\()p Fs(\000)p Fu(5)k(+)g(8)p Fq(\034)5 b(;)14
b Fs(\000)p Fu(5)j(+)h(8)p Fq(\034)9 b Fu(\))6435 5826
y(\(0)p Fq(;)14 b Fs(\000)p Fu(5)j(+)h(8)p Fq(\034)9
b Fu(\))6435 5925 y(\(8)18 b Fs(\000)g Fu(13)p Fq(\034)5
b(;)14 b Fu(8)j Fs(\000)h Fu(13)p Fq(\034)9 b Fu(\))p
7240 5955 V 2052 5959 5190 4 v 2050 6457 4 499 v 2094
6229 a(3)p Fq(=)p Fu(10)p 2300 6457 V 81 w(\(0)p Fq(;)14
b(\034)9 b Fu(\))p 2571 6457 V 104 w(2)18 b(+)g Fq(\034)p
2885 6457 V 2969 6028 a Fu(0)2969 6128 y(1)2969 6228
y(2)2969 6327 y(3)2969 6427 y(4)p 3092 6457 V 3183 6028
a(4)3183 6128 y(2)3183 6228 y(3)3183 6327 y(2)3183 6427
y(3)p 3311 6457 V 3396 6028 a([\(1)3493 5998 y Fp(\000)3549
6028 y Fq(;)c Fu(0\))p Fq(;)g Fu(\(3)3771 5998 y Fp(\000)3826
6028 y Fq(;)g Fs(\000)p Fu(1)k Fs(\000)g Fq(\034)9 b
Fu(\))p Fq(;)14 b Fu(\(5)4259 5998 y Fp(\000)4315 6028
y Fq(;)g Fu(0\))p Fq(;)g Fu(\(7)4537 5998 y Fp(\000)4593
6028 y Fq(;)g Fs(\000)p Fu(1\)])3396 6128 y([\(0)3493
6098 y Fp(\000)3549 6128 y Fq(;)g Fs(\000)p Fu(2)j Fs(\000)h
Fq(\034)9 b Fu(\))p Fq(;)14 b Fu(\(3)3981 6098 y Fo(+)4037
6128 y Fq(;)g Fs(\000)p Fu(1)k Fs(\000)g Fq(\034)9 b
Fu(\))p Fq(;)14 b Fu(\(5)4470 6098 y Fp(\000)4526 6128
y Fq(;)g Fu(0\))p Fq(;)g Fu(\(8)4748 6098 y Fo(+)4803
6128 y Fq(;)g Fu(1)k(+)g Fq(\034)9 b Fu(\)])3396 6228
y([\(1)3493 6198 y Fp(\000)3549 6228 y Fq(;)14 b Fu(0\))p
Fq(;)g Fu(\(5)3771 6198 y Fp(\000)3826 6228 y Fq(;)g
Fu(0\))p Fq(;)g Fu(\(7)4048 6198 y Fp(\000)4104 6228
y Fq(;)g Fs(\000)p Fu(2)j Fs(\000)h Fq(\034)9 b Fu(\)])3396
6327 y([\(0)3493 6297 y Fp(\000)3549 6327 y Fq(;)14 b
Fs(\000)p Fu(2)j Fs(\000)h Fq(\034)9 b Fu(\))p Fq(;)14
b Fu(\(2)3981 6297 y Fo(+)4037 6327 y Fq(;)g Fu(2)k(+)g
Fq(\034)9 b Fu(\))p Fq(;)14 b Fu(\(5)4405 6297 y Fp(\000)4462
6327 y Fq(;)g Fu(0\))p Fq(;)g Fu(\(7)4684 6297 y Fo(+)4738
6327 y Fq(;)g Fs(\000)p Fu(2)k Fs(\000)g Fq(\034)9 b
Fu(\)])3396 6427 y([\(2)3493 6397 y Fp(\000)3549 6427
y Fq(;)14 b Fu(2)k(+)g Fq(\034)9 b Fu(\))p Fq(;)14 b
Fu(\(5)3917 6397 y Fp(\000)3973 6427 y Fq(;)g Fu(0\))p
Fq(;)g Fu(\(8)4195 6397 y Fp(\000)4251 6427 y Fq(;)g
Fu(1)k(+)g Fq(\034)9 b Fu(\)])p 5423 6457 V 5507 6028
a(20)5507 6128 y(2030)5507 6228 y(2040)5507 6327 y(20403040)5507
6427 y(20\(40\))5739 6397 y Fo(3)p 6060 6457 V 6207 6028
a Fu(6)6165 6128 y(19)6165 6228 y(10)6165 6327 y(27)6165
6427 y(18)p 6350 6457 V 6435 6028 a(\(0)p Fq(;)14 b Fu(1\))6435
6128 y(\(0)p Fq(;)g Fu(2)k(+)g Fq(\034)9 b Fu(\))6435
6228 y(\(1)18 b(+)g Fq(\034)5 b(;)14 b Fu(0\))6435 6327
y(\(3)k(+)g(2)p Fq(\034)5 b(;)14 b Fs(\000)p Fu(1)j Fs(\000)h
Fq(\034)9 b Fu(\))6435 6427 y(\(0)p Fq(;)14 b Fs(\000)p
Fu(1)j Fs(\000)h Fq(\034)9 b Fu(\))p 7240 6457 V 2052
6460 5190 4 v 1947 5257 a
 currentpoint grestore moveto
 1947 5257 a 1905 5506 a Fu(34)p
eop
%%Page: 35 35
35 34 bop 1947 5257 a
 gsave currentpoint currentpoint translate 90 neg rotate neg exch neg
exch translate
 1947 5257 a 4354 3691 a FB(T)p
Fw(ABLE)33 b FB(IV)g(\(b\))4123 3815 y Fw(RETURN-MAP)25
b(P)-6 b(AR)g(TITIONS)3869 3915 y Fu(Abbreviation:)36
b Fq(A)24 b Fu(=)e(873,)27 b Fq(B)g Fu(=)22 b(03,)27
b Fq(C)j Fu(=)22 b(378.)1947 5458 y
 currentpoint currentpoint translate 0.89914 0.87505 scale neg exch
neg exch translate
 1947 5458 a 2002
3821 5933 4 v 2000 3942 4 122 v 2065 3907 a Fq(p=q)p
2250 3942 V 281 w(\020)2509 3877 y Fp(\003)p 2761 3942
V 2913 3907 a Fq(!)p 3116 3942 V 238 w(j)p 3326 3942
V 132 w Fu(#)p Fq(V)p 3545 3942 V 185 w Fu(domain)27
b Fq(D)4037 3864 y Fo(\(0\))4035 3930 y Fr(j)p 5496 3942
V 5539 3907 a Fu(return)g(path)p 6315 3942 V 485 w Fq(t)6474
3864 y Fo(\(0\))6474 3930 y Fr(j)p 6688 3942 V 6731 3907
a Fu(translation)g Fq(\016)7192 3864 y Fo(\(0\))7189
3930 y Fr(j)p 7933 3942 V 2002 3945 5933 4 v 2002 3962
V 2000 5157 4 1196 v 2044 4580 a Fu(1)p Fq(=)p Fu(12)p
2250 5157 V 201 w(\()p Fq(\034)5 b(;)14 b(\034)9 b Fu(\))p
2761 5157 V 204 w(7)18 b Fs(\000)g Fu(12)p Fq(\034)p
3116 5157 V 3202 4031 a Fu(0)3202 4131 y(1)3202 4330
y(2)3202 4430 y(3)3202 4629 y(4)3202 4828 y(5)3202 4928
y(6)3202 5028 y(7)3202 5127 y(8)p 3326 5157 V 3416 4031
a(3)3416 4131 y(2)3416 4330 y(2)3416 4430 y(4)3416 4629
y(2)3416 4828 y(3)3416 4928 y(2)3416 5028 y(4)3416 5127
y(3)p 3545 5157 V 3630 4031 a([\(0)3727 4001 y Fo(+)3782
4031 y Fq(;)c Fu(0\))p Fq(;)g Fu(\(8)4004 4001 y Fo(+)4058
4031 y Fq(;)g Fs(\000)p Fu(41)j(+)h(71)p Fq(\034)9 b
Fu(\))p Fq(;)14 b Fu(\(9)4616 4001 y Fo(+)4671 4031 y
Fq(;)g Fs(\000)p Fu(15)j(+)h(26)p Fq(\034)9 b Fu(\)])3630
4131 y([\(0)3727 4101 y Fo(+)3782 4131 y Fq(;)14 b Fu(0\))p
Fq(;)g Fu(\(2)4004 4101 y Fp(\000)4059 4131 y Fq(;)g
Fu(41)j Fs(\000)h Fu(71)p Fq(\034)9 b Fu(\))p Fq(;)14
b Fu(\(1)4552 4101 y Fo(+)4607 4131 y Fq(;)g Fu(56)k
Fs(\000)g Fu(97)p Fq(\034)9 b Fu(\))p Fq(;)3806 4231
y Fu(\(8)3880 4201 y Fp(\000)3935 4231 y Fq(;)14 b Fs(\000)p
Fu(41)j(+)h(71)p Fq(\034)9 b Fu(\)])3630 4330 y([\(0)3727
4300 y Fo(+)3782 4330 y Fq(;)14 b Fu(0\))p Fq(;)g Fu(\(4)4004
4300 y Fp(\000)4059 4330 y Fq(;)g Fu(41)j Fs(\000)h Fu(71)p
Fq(\034)9 b Fu(\))p Fq(;)14 b Fu(\(1)4552 4300 y Fo(+)4607
4330 y Fq(;)g Fu(0\))p Fq(;)g Fu(\(10)4871 4300 y Fp(\000)4926
4330 y Fq(;)g Fs(\000)p Fu(41)j(+)h(71)p Fq(\034)9 b
Fu(\)])3630 4430 y([\(7)3727 4400 y Fo(+)3782 4430 y
Fq(;)14 b Fs(\000)p Fu(56)i(+)j(97)p Fq(\034)9 b Fu(\))p
Fq(;)14 b Fu(\(10)4382 4400 y Fo(+)4436 4430 y Fq(;)g
Fs(\000)p Fu(41)j(+)h(71)p Fq(\034)9 b Fu(\))p Fq(;)3806
4530 y Fu(\(1)3880 4499 y Fo(+)3934 4530 y Fq(;)14 b
Fu(0\))p Fq(;)g Fu(\(9)4156 4499 y Fo(+)4211 4530 y Fq(;)g
Fs(\000)p Fu(15)j(+)h(26)p Fq(\034)9 b Fu(\)])3630 4629
y([\(2)3727 4599 y Fo(+)3782 4629 y Fq(;)14 b Fu(41)j
Fs(\000)h Fu(71)p Fq(\034)9 b Fu(\))p Fq(;)14 b Fu(\(1)4275
4599 y Fp(\000)4331 4629 y Fq(;)g Fu(56)j Fs(\000)h Fu(97)p
Fq(\034)9 b Fu(\))p Fq(;)14 b Fu(\(10)4866 4599 y Fo(+)4920
4629 y Fq(;)g Fs(\000)p Fu(41)j(+)h(71)p Fq(\034)9 b
Fu(\))p Fq(;)3806 4729 y Fu(\(7)3880 4699 y Fp(\000)3935
4729 y Fq(;)14 b Fs(\000)p Fu(56)j(+)h(97)p Fq(\034)9
b Fu(\)])3630 4828 y([\(2)3727 4798 y Fo(+)3782 4828
y Fq(;)14 b Fu(41)j Fs(\000)h Fu(71)p Fq(\034)9 b Fu(\))p
Fq(;)14 b Fu(\(10)4317 4798 y Fo(+)4371 4828 y Fq(;)g
Fs(\000)p Fu(41)j(+)h(71)p Fq(\034)9 b Fu(\))p Fq(;)14
b Fu(\(1)4929 4798 y Fo(+)4984 4828 y Fq(;)g Fu(56)j
Fs(\000)h Fu(97)p Fq(\034)9 b Fu(\)])3630 4928 y([\(0)3727
4898 y Fo(+)3782 4928 y Fq(;)14 b Fu(0\))p Fq(;)g Fu(\(5)4004
4898 y Fp(\000)4059 4928 y Fq(;)g Fu(56)j Fs(\000)h Fu(97)p
Fq(\034)9 b Fu(\))p Fq(;)14 b Fu(\(1)4552 4898 y Fo(+)4607
4928 y Fq(;)g Fu(0\))p Fq(;)g Fu(\(11)4871 4898 y Fp(\000)4926
4928 y Fq(;)g Fs(\000)p Fu(56)j(+)h(97)p Fq(\034)9 b
Fu(\)])3630 5028 y([\(0)3727 4998 y Fo(+)3782 5028 y
Fq(;)14 b Fu(0\))p Fq(;)g Fu(\(5)4004 4998 y Fo(+)4058
5028 y Fq(;)g Fu(56)j Fs(\000)h Fu(97)p Fq(\034)9 b Fu(\))p
Fq(;)14 b Fu(\(1)4551 4998 y Fo(+)4606 5028 y Fq(;)g
Fu(0\))p Fq(;)g Fu(\(4)4828 4998 y Fo(+)4883 5028 y Fq(;)g
Fu(41)j Fs(\000)h Fu(71)p Fq(\034)9 b Fu(\)])3630 5127
y([\(0)3727 5097 y Fo(+)3782 5127 y Fq(;)14 b Fu(0\))p
Fq(;)g Fu(\(1)4004 5097 y Fo(+)4058 5127 y Fq(;)g Fu(0\))p
Fq(;)g Fu(\(11)4322 5097 y Fo(+)4376 5127 y Fq(;)g Fs(\000)p
Fu(56)j(+)h(97)p Fq(\034)9 b Fu(\)])p 5496 5157 V 5580
4031 a Fq(AB)t(C)5580 4131 y(AB)t(C)d(A)p Fu(18)5920
4101 y Fo(4)5957 4131 y Fu(7)p Fq(C)g(A)p Fu(5)p Fq(C)5580
4330 y(AB)t(C)g(A)p Fu(2)p Fq(C)g(A)p Fu(5)p Fq(C)5580
4430 y(AB)t(C)g(A)p Fu(5)p Fq(C)5580 4629 y(AB)t(C)g(A)p
Fu(5)p Fq(C)g(A)p Fu(18)6089 4599 y Fo(9)5746 4729 y
Fu(6343318)6040 4699 y Fo(9)6074 4729 y Fu(6)p Fq(C)5580
4828 y(AB)t Fu(\()p Fq(C)g(A)p Fu(5\))5942 4798 y Fo(2)5981
4828 y Fq(C)5580 4928 y(AB)t(C)g(A)p Fu(78)5920 4898
y Fo(4)5957 4928 y Fu(6)p Fq(C)g(A)p Fu(5)p Fq(C)5580
5028 y(AB)t(C)g(A)p Fu(78)5920 4998 y Fo(4)5957 5028
y Fu(7)p Fq(C)g(A)p Fu(5)p Fq(C)5580 5127 y(AB)t(C)g(A)p
Fu(78)5920 5097 y Fo(9)5957 5127 y Fu(7)p Fq(C)g(A)p
Fu(5)p Fq(C)p 6315 5157 V 6462 4031 a Fu(203)6462 4131
y(888)6462 4330 y(877)6462 4430 y(406)6420 4629 y(1941)6462
4828 y(609)6462 4928 y(888)6462 5028 y(844)6420 5127
y(1139)p 6688 5157 V 6773 4031 a(\(15)18 b Fs(\000)g
Fu(26)p Fq(\034)5 b(;)14 b Fu(0\))6773 4131 y(\(0)p Fq(;)g
Fs(\000)p Fu(56)j(+)h(97)p Fq(\034)9 b Fu(\))6773 4330
y(\(0)p Fq(;)14 b Fs(\000)p Fu(41)j(+)h(71)p Fq(\034)9
b Fu(\))6773 4430 y(\(41)18 b Fs(\000)g Fu(71)p Fq(\034)5
b(;)14 b Fu(15)i Fs(\000)i Fu(26)p Fq(\034)9 b Fu(\))6773
4629 y(\(71)18 b Fs(\000)g Fu(123)p Fq(\034)5 b(;)14
b Fu(41)i Fs(\000)i Fu(71)p Fq(\034)9 b Fu(\))6773 4828
y(\(71)18 b Fs(\000)g Fu(123)p Fq(\034)5 b(;)14 b Fu(41)i
Fs(\000)i Fu(71)p Fq(\034)9 b Fu(\))6773 4928 y(\(56)18
b Fs(\000)g Fu(97)p Fq(\034)5 b(;)14 b Fu(0\))6773 5028
y(\()p Fs(\000)p Fu(41)j(+)h(71)p Fq(\034)5 b(;)14 b
Fs(\000)p Fu(56)i(+)i(97)p Fq(\034)9 b Fu(\))6773 5127
y(\(56)18 b Fs(\000)g Fu(97)p Fq(\034)5 b(;)14 b Fu(0\))p
7933 5157 V 2002 5161 5933 4 v 2000 7053 4 1893 v 2044
6128 a(5)p Fq(=)p Fu(12)p 2250 7053 V 2293 6077 a(\(41)k(+)g(72)p
Fq(\034)5 b(;)2376 6177 y Fu(41)17 b(+)h(72)p Fq(\034)9
b Fu(\))p 2761 7053 V 2825 6128 a(2)18 b(+)g(3)p Fq(\034)p
3116 7053 V 3202 5230 a Fu(0)3202 5330 y(1)3202 5529
y(2)3202 5728 y(3)3202 5928 y(4)3202 6127 y(5)3202 6326
y(6)3202 6525 y(7)3202 6725 y(8)3202 6924 y(9)3201 7024
y Fq(a)p 3326 7053 V 3416 5230 a Fu(3)3416 5330 y(4)3416
5529 y(2)3416 5728 y(2)3416 5928 y(2)3416 6127 y(3)3416
6326 y(4)3416 6525 y(2)3416 6725 y(2)3416 6924 y(3)3416
7024 y(3)p 3545 7053 V 3630 5230 a([\(6)3727 5200 y Fp(\000)3782
5230 y Fq(;)c Fu(0\))p Fq(;)g Fu(\(3)4004 5200 y Fp(\000)4060
5230 y Fq(;)g Fu(209)j(+)h(362)p Fq(\034)9 b Fu(\))p
Fq(;)14 b Fu(\(10)4679 5200 y Fp(\000)4734 5230 y Fq(;)g
Fu(571)i(+)i(989)p Fq(\034)9 b Fu(\)])3630 5330 y([\(11)3769
5300 y Fp(\000)3824 5330 y Fq(;)14 b Fu(0\))p Fq(;)g
Fu(\(8)4046 5300 y Fp(\000)4101 5330 y Fq(;)g Fu(571)j(+)h(989)p
Fq(\034)9 b Fu(\))p Fq(;)14 b Fu(\(5)4678 5300 y Fp(\000)4734
5330 y Fq(;)g Fu(780)i(+)i(1351)p Fq(\034)9 b Fu(\))p
Fq(;)3806 5430 y Fu(\(3)3880 5399 y Fp(\000)3935 5430
y Fq(;)14 b Fu(209)j(+)h(362)p Fq(\034)9 b Fu(\)])3630
5529 y([\(2)3727 5499 y Fo(+)3782 5529 y Fq(;)14 b Fs(\000)p
Fu(571)i Fs(\000)i Fu(989)p Fq(\034)9 b Fu(\))p Fq(;)14
b Fu(\(11)4465 5499 y Fp(\000)4520 5529 y Fq(;)g Fu(0\))p
Fq(;)3806 5629 y Fu(\(8)3880 5599 y Fo(+)3934 5629 y
Fq(;)g Fu(571)j(+)h(989)p Fq(\034)9 b Fu(\))p Fq(;)14
b Fu(\(6)4511 5599 y Fp(\000)4567 5629 y Fq(;)g Fu(0\)])3630
5728 y([\(0)3727 5698 y Fp(\000)3782 5728 y Fq(;)g Fu(780)j(+)h(1351)p
Fq(\034)9 b Fu(\))p Fq(;)14 b Fu(\(4)4401 5698 y Fo(+)4455
5728 y Fq(;)g Fs(\000)p Fu(571)j Fs(\000)h Fu(989)p Fq(\034)9
b Fu(\))p Fq(;)14 b Fu(\(6)5097 5698 y Fp(\000)5152 5728
y Fq(;)g Fu(0\))p Fq(;)3806 5828 y Fu(\(10)3922 5798
y Fo(+)3976 5828 y Fq(;)g Fu(571)j(+)h(989)p Fq(\034)9
b Fu(\)])3630 5928 y([\(0)3727 5898 y Fp(\000)3782 5928
y Fq(;)14 b Fu(780)j(+)h(1351)p Fq(\034)9 b Fu(\))p Fq(;)14
b Fu(\(5)4401 5898 y Fo(+)4455 5928 y Fq(;)g Fu(780)j(+)h(1351)p
Fq(\034)9 b Fu(\))p Fq(;)3806 6027 y Fu(\(8)3880 5997
y Fp(\000)3935 6027 y Fq(;)14 b Fu(571)j(+)h(989)p Fq(\034)9
b Fu(\))p Fq(;)14 b Fu(\(11)4554 5997 y Fo(+)4608 6027
y Fq(;)g Fs(\000)p Fu(780)j Fs(\000)h Fu(1351)p Fq(\034)9
b Fu(\)])3630 6127 y([\(4)3727 6097 y Fp(\000)3782 6127
y Fq(;)14 b Fs(\000)p Fu(571)j Fs(\000)h Fu(989)p Fq(\034)9
b Fu(\))p Fq(;)14 b Fu(\(8)4424 6097 y Fp(\000)4479 6127
y Fq(;)g Fu(571)j(+)h(989)p Fq(\034)9 b Fu(\))p Fq(;)3806
6227 y Fu(\(11)3922 6196 y Fp(\000)3977 6227 y Fq(;)14
b Fs(\000)p Fu(780)i Fs(\000)i Fu(1351)p Fq(\034)9 b
Fu(\)])3630 6326 y([\(6)3727 6296 y Fp(\000)3782 6326
y Fq(;)14 b Fu(0\))p Fq(;)g Fu(\(2)4004 6296 y Fp(\000)4060
6326 y Fq(;)g Fs(\000)p Fu(571)i Fs(\000)i Fu(989)p Fq(\034)9
b Fu(\))p Fq(;)14 b Fu(\(11)4743 6296 y Fp(\000)4798
6326 y Fq(;)g Fu(0\))p Fq(;)3806 6426 y Fu(\(7)3880 6396
y Fp(\000)3935 6426 y Fq(;)g Fs(\000)p Fu(780)j Fs(\000)h
Fu(1351)p Fq(\034)9 b Fu(\)])3630 6525 y([\(2)3727 6495
y Fp(\000)3782 6525 y Fq(;)14 b Fs(\000)p Fu(1351)i Fs(\000)i
Fu(2340)p Fq(\034)9 b Fu(\))p Fq(;)14 b Fu(\(1)4507 6495
y Fo(+)4561 6525 y Fq(;)g Fu(780)j(+)h(1351)p Fq(\034)9
b Fu(\))p Fq(;)3806 6625 y Fu(\(9)3880 6595 y Fp(\000)3935
6625 y Fq(;)14 b Fs(\000)p Fu(780)j Fs(\000)h Fu(1351)p
Fq(\034)9 b Fu(\))p Fq(;)14 b Fu(\(7)4619 6595 y Fo(+)4673
6625 y Fq(;)g Fs(\000)p Fu(780)i Fs(\000)i Fu(1351)p
Fq(\034)9 b Fu(\)])3630 6725 y([\(6)3727 6695 y Fp(\000)3782
6725 y Fq(;)14 b Fu(0\))p Fq(;)g Fu(\(3)4004 6695 y Fo(+)4059
6725 y Fq(;)g Fu(780)j(+)h(1351)p Fq(\034)9 b Fu(\))p
Fq(;)14 b Fu(\(1)4678 6695 y Fp(\000)4733 6725 y Fq(;)g
Fu(780)j(+)h(1351)p Fq(\034)9 b Fu(\))p Fq(;)3806 6824
y Fu(\(9)3880 6794 y Fo(+)3934 6824 y Fq(;)14 b Fs(\000)p
Fu(780)j Fs(\000)h Fu(1351)p Fq(\034)9 b Fu(\)])3630
6924 y([\(6)3727 6894 y Fp(\000)3782 6924 y Fq(;)14 b
Fu(0\))p Fq(;)g Fu(\(9)4004 6894 y Fp(\000)4060 6924
y Fq(;)g Fs(\000)p Fu(780)i Fs(\000)i Fu(1351)p Fq(\034)9
b Fu(\))p Fq(;)14 b Fu(\(1)4743 6894 y Fp(\000)4798 6924
y Fq(;)g Fu(780)j(+)h(1351)p Fq(\034)9 b Fu(\)])3630
7024 y([\(6)3727 6993 y Fp(\000)3782 7024 y Fq(;)14 b
Fu(0\))p Fq(;)g Fu(\(3)4004 6993 y Fp(\000)4060 7024
y Fq(;)g Fu(780)j(+)h(1351)p Fq(\034)9 b Fu(\))p Fq(;)14
b Fu(\(11)4721 6993 y Fp(\000)4775 7024 y Fq(;)g Fu(0\)])p
5496 7053 V 5580 5230 a Fq(a)5580 5330 y(a)p Fu(9)5580
5529 y Fq(a)p Fu(79)5580 5728 y Fq(a)p Fu(89)5580 5928
y Fq(a)p Fu(98)5580 6127 y Fq(a)p Fu(99)5580 6326 y Fq(a)p
Fu(6169)5580 6525 y Fq(a)p Fu(612169)5580 6725 y Fq(a)p
Fu(613169)5580 6924 y Fq(a)p Fu(615169)5580 7024 y Fq(a)p
Fu(6101169)p 6315 7053 V 6399 5230 a(19459)6399 5330
y(38918)6399 5529 y(57089)6399 5728 y(58245)6399 5928
y(58245)6399 6127 y(58377)6399 6326 y(76580)6399 6525
y(86787)6399 6725 y(92983)6399 6924 y(93115)6399 7024
y(93115)p 6688 7053 V 6773 5230 a(\(209)j(+)h(362)p Fq(\034)5
b(;)14 b Fs(\000)p Fu(362)h Fs(\000)j Fu(627)p Fq(\034)9
b Fu(\))6773 5330 y(\(571)17 b(+)h(989)p Fq(\034)5 b(;)14
b Fs(\000)p Fu(780)h Fs(\000)j Fu(1351)p Fq(\034)9 b
Fu(\))6773 5529 y(\(0)p Fq(;)14 b Fs(\000)p Fu(571)i
Fs(\000)i Fu(989)p Fq(\034)9 b Fu(\))6773 5728 y(\(989)17
b(+)h(1713)p Fq(\034)5 b(;)14 b Fs(\000)p Fu(1142)g Fs(\000)k
Fu(1978)p Fq(\034)9 b Fu(\))6773 5928 y(\(989)17 b(+)h(1713)p
Fq(\034)5 b(;)14 b Fs(\000)p Fu(1142)g Fs(\000)k Fu(1978)p
Fq(\034)9 b Fu(\))6773 6127 y(\(989)17 b(+)h(1713)p Fq(\034)5
b(;)14 b Fs(\000)p Fu(1142)g Fs(\000)k Fu(1978)p Fq(\034)9
b Fu(\))6773 6326 y(\()p Fs(\000)p Fu(571)17 b Fs(\000)h
Fu(989)p Fq(\034)5 b(;)14 b Fu(209)h(+)j(362)p Fq(\034)9
b Fu(\))6773 6525 y(\()p Fs(\000)p Fu(780)17 b Fs(\000)h
Fu(1351)p Fq(\034)5 b(;)14 b Fu(0\))6773 6725 y(\(780)j(+)h(1351)p
Fq(\034)5 b(;)14 b Fs(\000)p Fu(1351)g Fs(\000)k Fu(2340)p
Fq(\034)9 b Fu(\))6773 6924 y(\(780)17 b(+)h(1351)p Fq(\034)5
b(;)14 b Fs(\000)p Fu(1351)g Fs(\000)k Fu(2340)p Fq(\034)9
b Fu(\))6773 7024 y(\(780)17 b(+)h(1351)p Fq(\034)5 b(;)14
b Fs(\000)p Fu(1351)g Fs(\000)k Fu(2340)p Fq(\034)9 b
Fu(\))p 7933 7053 V 2002 7057 5933 4 v 1947 5458 a
 currentpoint currentpoint translate 1 0.89914 div 1 0.87505 div scale
neg exch neg exch translate
 1947
5458 a 1947 5257 a
 currentpoint grestore moveto
 1947 5257 a 1905 5506 a Fu(35)p eop
%%Page: 36 36
36 35 bop 1947 5257 a
 gsave currentpoint currentpoint translate 90 neg rotate neg exch neg
exch translate
 1947 5257 a 4359 3442 a FB(T)p
Fw(ABLE)33 b FB(IV)g(\(c\))4123 3566 y Fw(RETURN-MAP)25
b(P)-6 b(AR)g(TITIONS)3946 3691 y Fu(Abbreviation:)36
b Fq(A)24 b Fu(=)e(1)p Fq(b)4732 3661 y Fo(3)4769 3691
y Fu(1,)27 b Fq(B)g Fu(=)c Fq(A)p Fu(4)p Fq(A)p Fu(01.)1947
5470 y
 currentpoint currentpoint translate 0.8412 0.84076 scale neg exch
neg exch translate
 1947 5470 a 2002 3485 6348 4 v 2000 3606 4 122
v 2065 3572 a Fq(p=q)p 2250 3606 V 161 w(\020)2389 3542
y Fp(\003)p 2521 3606 V 2652 3572 a Fq(!)p 2834 3606
V 232 w(j)p 3073 3606 V 146 w Fu(#)p Fq(V)p 3292 3606
V 185 w Fu(domain)k Fq(D)3784 3529 y Fo(\(0\))3782 3595
y Fr(j)p 5576 3606 V 5619 3572 a Fu(return)g(path)p 6523
3606 V 675 w Fq(t)6744 3529 y Fo(\(0\))6744 3595 y Fr(j)p
6938 3606 V 6981 3572 a Fu(translation)g Fq(\016)7442
3529 y Fo(\(0\))7439 3595 y Fr(j)p 8348 3606 V 2002 3610
6348 4 v 2002 3626 V 2000 7412 4 3786 v 2044 5540 a Fu(5)p
Fq(=)p Fu(12)p 2250 7412 V 81 w(\()p Fq(\034)5 b(;)14
b(\034)9 b Fu(\))p 2521 7412 V 84 w(2)18 b(+)g(3)p Fq(\034)p
2834 7412 V 2934 3696 a Fu(0)2934 3796 y(1)2934 3995
y(2)2934 4194 y(3)2934 4394 y(4)2934 4493 y(5)2934 4692
y(6)2934 4892 y(7)2934 4991 y(8)2934 5091 y(9)2933 5290
y Fq(a)2937 5489 y(b)2937 5689 y(c)2934 5788 y(d)2936
5888 y(e)2930 6087 y(f)2934 6286 y(g)2931 6486 y(h)2941
6685 y(i)2936 6884 y(j)2932 7083 y(k)2942 7183 y(l)2919
7283 y(m)p 3073 7412 V 3163 3696 a Fu(3)3163 3796 y(4)3163
3995 y(2)3163 4194 y(2)3163 4394 y(3)3163 4493 y(2)3163
4692 y(2)3163 4892 y(3)3163 4991 y(3)3163 5091 y(2)3163
5290 y(2)3163 5489 y(4)3163 5689 y(3)3163 5788 y(3)3163
5888 y(2)3163 6087 y(2)3163 6286 y(4)3163 6486 y(4)3163
6685 y(2)3163 6884 y(2)3163 7083 y(3)3163 7183 y(3)3163
7283 y(2)p 3292 7412 V 3377 3696 a([\(0)3474 3666 y Fp(\000)3530
3696 y Fq(;)c Fu(571)j(+)h(989)p Fq(\034)9 b Fu(\))p
Fq(;)14 b Fu(\(7)4107 3666 y Fp(\000)4162 3696 y Fq(;)g
Fu(209)j(+)h(362)p Fq(\034)9 b Fu(\))p Fq(;)14 b Fu(\(4)4739
3666 y Fp(\000)4794 3696 y Fq(;)g Fu(0\)])3377 3796 y([\(5)3474
3766 y Fp(\000)3530 3796 y Fq(;)g Fu(780)j(+)h(1351)p
Fq(\034)9 b Fu(\))p Fq(;)14 b Fu(\(7)4149 3766 y Fp(\000)4203
3796 y Fq(;)g Fu(209)j(+)h(362)p Fq(\034)9 b Fu(\))p
Fq(;)14 b Fu(\(11)4822 3766 y Fp(\000)4877 3796 y Fq(;)g
Fu(0\))p Fq(;)3553 3895 y Fu(\(2)3627 3865 y Fp(\000)3683
3895 y Fq(;)g Fu(571)j(+)h(989)p Fq(\034)9 b Fu(\)])3377
3995 y([\(11)3516 3965 y Fp(\000)3571 3995 y Fq(;)14
b Fs(\000)p Fu(780)j Fs(\000)h Fu(1351)p Fq(\034)9 b
Fu(\))p Fq(;)14 b Fu(\(0)4255 3965 y Fo(+)4309 3995 y
Fq(;)g Fu(571)i(+)i(989)p Fq(\034)9 b Fu(\))p Fq(;)14
b Fu(\(4)4885 3965 y Fp(\000)4941 3995 y Fq(;)g Fu(0\))p
Fq(;)3553 4095 y Fu(\(6)3627 4065 y Fo(+)3682 4095 y
Fq(;)g Fs(\000)p Fu(571)i Fs(\000)i Fu(989)p Fq(\034)9
b Fu(\)])3377 4194 y([\(6)3474 4164 y Fp(\000)3530 4194
y Fq(;)14 b Fs(\000)p Fu(571)i Fs(\000)i Fu(989)p Fq(\034)9
b Fu(\))p Fq(;)14 b Fu(\(5)4171 4164 y Fo(+)4225 4194
y Fq(;)g Fu(780)j(+)h(1351)p Fq(\034)9 b Fu(\))p Fq(;)14
b Fu(\(2)4844 4164 y Fp(\000)4899 4194 y Fq(;)g Fu(571)j(+)h(989)p
Fq(\034)9 b Fu(\))p Fq(;)3553 4294 y Fu(\(11)3669 4264
y Fo(+)3723 4294 y Fq(;)14 b Fs(\000)p Fu(780)j Fs(\000)h
Fu(1351)p Fq(\034)9 b Fu(\)])3377 4394 y([\(6)3474 4363
y Fp(\000)3530 4394 y Fq(;)14 b Fs(\000)p Fu(571)i Fs(\000)i
Fu(989)p Fq(\034)9 b Fu(\))p Fq(;)14 b Fu(\(11)4213 4363
y Fp(\000)4268 4394 y Fq(;)g Fs(\000)p Fu(780)i Fs(\000)i
Fu(1351)p Fq(\034)9 b Fu(\))p Fq(;)14 b Fu(\(2)4951 4363
y Fp(\000)5006 4394 y Fq(;)g Fu(571)j(+)h(989)p Fq(\034)9
b Fu(\)])3377 4493 y([\(6)3474 4463 y Fp(\000)3530 4493
y Fq(;)14 b Fs(\000)p Fu(571)i Fs(\000)i Fu(989)p Fq(\034)9
b Fu(\))p Fq(;)14 b Fu(\(2)4171 4463 y Fo(+)4225 4493
y Fq(;)g Fu(571)j(+)h(989)p Fq(\034)9 b Fu(\))p Fq(;)14
b Fu(\(11)4844 4463 y Fp(\000)4899 4493 y Fq(;)g Fu(0\))p
Fq(;)3553 4593 y Fu(\(8)3627 4563 y Fo(+)3682 4593 y
Fq(;)g Fs(\000)p Fu(571)i Fs(\000)i Fu(989)p Fq(\034)9
b Fu(\)])3377 4692 y([\(9)3474 4662 y Fp(\000)3530 4692
y Fq(;)14 b Fu(780)j(+)h(1351)p Fq(\034)9 b Fu(\))p Fq(;)14
b Fu(\(1)4149 4662 y Fo(+)4202 4692 y Fq(;)g Fs(\000)p
Fu(780)j Fs(\000)h Fu(1351)p Fq(\034)9 b Fu(\))p Fq(;)14
b Fu(\(4)4886 4662 y Fp(\000)4941 4692 y Fq(;)g Fu(0\))p
Fq(;)3553 4792 y Fu(\(7)3627 4762 y Fo(+)3682 4792 y
Fq(;)g Fu(780)j(+)h(1351)p Fq(\034)9 b Fu(\)])3377 4892
y([\(4)3474 4862 y Fp(\000)3530 4892 y Fq(;)14 b Fu(0\))p
Fq(;)g Fu(\(9)3752 4862 y Fp(\000)3807 4892 y Fq(;)g
Fu(780)j(+)h(1351)p Fq(\034)9 b Fu(\))p Fq(;)14 b Fu(\(1)4426
4862 y Fp(\000)4481 4892 y Fq(;)g Fs(\000)p Fu(780)i
Fs(\000)i Fu(1351)p Fq(\034)9 b Fu(\)])3377 4991 y([\(4)3474
4961 y Fp(\000)3530 4991 y Fq(;)14 b Fu(0\))p Fq(;)g
Fu(\(11)3794 4961 y Fp(\000)3849 4991 y Fq(;)g Fu(0\))p
Fq(;)g Fu(\(7)4071 4961 y Fp(\000)4126 4991 y Fq(;)g
Fu(780)j(+)h(1351)p Fq(\034)9 b Fu(\)])3377 5091 y([\(1)3474
5061 y Fp(\000)3530 5091 y Fq(;)14 b Fs(\000)p Fu(780)i
Fs(\000)i Fu(1351)p Fq(\034)9 b Fu(\))p Fq(;)14 b Fu(\(3)4213
5061 y Fo(+)4267 5091 y Fq(;)g Fs(\000)p Fu(780)i Fs(\000)i
Fu(1351)p Fq(\034)9 b Fu(\))p Fq(;)14 b Fu(\(4)4950 5061
y Fp(\000)5005 5091 y Fq(;)g Fu(0\))p Fq(;)3553 5191
y Fu(\(9)3627 5160 y Fo(+)3682 5191 y Fq(;)g Fu(780)j(+)h(1351)p
Fq(\034)9 b Fu(\)])3377 5290 y([\(3)3474 5260 y Fp(\000)3530
5290 y Fq(;)14 b Fs(\000)p Fu(780)i Fs(\000)i Fu(1351)p
Fq(\034)9 b Fu(\))p Fq(;)14 b Fu(\(2)4213 5260 y Fo(+)4267
5290 y Fq(;)g Fu(1351)i(+)i(2340)p Fq(\034)9 b Fu(\))p
Fq(;)14 b Fu(\(11)4969 5260 y Fp(\000)5024 5290 y Fq(;)g
Fu(0\))p Fq(;)3553 5390 y Fu(\(8)3627 5360 y Fo(+)3682
5390 y Fq(;)g Fs(\000)p Fu(1351)i Fs(\000)i Fu(2340)p
Fq(\034)9 b Fu(\)])3377 5489 y([\(4)3474 5459 y Fp(\000)3530
5489 y Fq(;)14 b Fu(0\))p Fq(;)g Fu(\(8)3752 5459 y Fp(\000)3807
5489 y Fq(;)g Fs(\000)p Fu(571)j Fs(\000)h Fu(989)p Fq(\034)9
b Fu(\))p Fq(;)14 b Fu(\(9)4449 5459 y Fp(\000)4504 5489
y Fq(;)g Fu(1560)i(+)i(2702)p Fq(\034)9 b Fu(\))p Fq(;)3553
5589 y Fu(\(1)3627 5559 y Fp(\000)3683 5589 y Fq(;)14
b Fs(\000)p Fu(1560)i Fs(\000)i Fu(2702)p Fq(\034)9 b
Fu(\)])3377 5689 y([\(3)3474 5659 y Fp(\000)3530 5689
y Fq(;)14 b Fs(\000)p Fu(780)i Fs(\000)i Fu(1351)p Fq(\034)9
b Fu(\))p Fq(;)14 b Fu(\(8)4213 5659 y Fp(\000)4268 5689
y Fq(;)g Fs(\000)p Fu(1351)i Fs(\000)i Fu(2340)p Fq(\034)9
b Fu(\))p Fq(;)14 b Fu(\(11)5035 5659 y Fp(\000)5089
5689 y Fq(;)g Fu(0\)])3377 5788 y([\(2)3474 5758 y Fp(\000)3530
5788 y Fq(;)g Fu(1351)i(+)i(2340)p Fq(\034)9 b Fu(\))p
Fq(;)14 b Fu(\(7)4190 5758 y Fp(\000)4245 5788 y Fq(;)g
Fu(1560)i(+)i(2702)p Fq(\034)9 b Fu(\))p Fq(;)14 b Fu(\(11)4947
5758 y Fp(\000)5002 5788 y Fq(;)g Fu(0\)])3377 5888 y([\(2)3474
5858 y Fp(\000)3530 5888 y Fq(;)g Fu(1351)i(+)i(2340)p
Fq(\034)9 b Fu(\))p Fq(;)14 b Fu(\(1)4190 5858 y Fo(+)4244
5888 y Fq(;)g Fs(\000)p Fu(1560)i Fs(\000)i Fu(2702)p
Fq(\034)9 b Fu(\))p Fq(;)14 b Fu(\(11)5011 5858 y Fp(\000)5065
5888 y Fq(;)g Fu(0\))p Fq(;)3553 5988 y Fu(\(7)3627 5957
y Fo(+)3682 5988 y Fq(;)g Fu(1560)i(+)i(2702)p Fq(\034)9
b Fu(\)])3377 6087 y([\(1)3474 6057 y Fp(\000)3530 6087
y Fq(;)14 b Fs(\000)p Fu(1560)i Fs(\000)i Fu(2702)p Fq(\034)9
b Fu(\))p Fq(;)14 b Fu(\(3)4255 6057 y Fo(+)4309 6087
y Fq(;)g Fs(\000)p Fu(1560)h Fs(\000)k Fu(2702)p Fq(\034)9
b Fu(\))p Fq(;)3553 6187 y Fu(\(4)3627 6157 y Fp(\000)3683
6187 y Fq(;)14 b Fu(2131)i(+)i(3691)p Fq(\034)9 b Fu(\))p
Fq(;)14 b Fu(\(9)4343 6157 y Fo(+)4397 6187 y Fq(;)g
Fu(1560)i(+)i(2702)p Fq(\034)9 b Fu(\)])3377 6286 y([\(0)3474
6256 y Fp(\000)3530 6286 y Fq(;)14 b Fs(\000)p Fu(3691)i
Fs(\000)i Fu(6393)p Fq(\034)9 b Fu(\))p Fq(;)14 b Fu(\(3)4255
6256 y Fp(\000)4309 6286 y Fq(;)g Fs(\000)p Fu(1560)i
Fs(\000)i Fu(2702)p Fq(\034)9 b Fu(\))p Fq(;)3553 6386
y Fu(\(8)3627 6356 y Fp(\000)3683 6386 y Fq(;)14 b Fs(\000)p
Fu(571)i Fs(\000)i Fu(989)p Fq(\034)9 b Fu(\))p Fq(;)14
b Fu(\(11)4366 6356 y Fp(\000)4421 6386 y Fq(;)g Fu(0\)])3377
6486 y([\(6)3474 6456 y Fp(\000)3530 6486 y Fq(;)g Fu(3691)i(+)i(6393)p
Fq(\034)9 b Fu(\))p Fq(;)14 b Fu(\(10)4232 6456 y Fp(\000)4286
6486 y Fq(;)g Fs(\000)p Fu(7173)i Fs(\000)i Fu(12424)p
Fq(\034)9 b Fu(\))p Fq(;)3553 6585 y Fu(\(11)3669 6555
y Fp(\000)3724 6585 y Fq(;)14 b Fu(0\))p Fq(;)g Fu(\(3)3946
6555 y Fp(\000)4002 6585 y Fq(;)g Fs(\000)p Fu(1560)i
Fs(\000)i Fu(2702)p Fq(\034)9 b Fu(\)])3377 6685 y([\(11)3516
6655 y Fp(\000)3571 6685 y Fq(;)14 b Fu(0\))p Fq(;)g
Fu(\(0)3793 6655 y Fo(+)3848 6685 y Fq(;)g Fs(\000)p
Fu(3691)i Fs(\000)i Fu(6393)p Fq(\034)9 b Fu(\))p Fq(;)14
b Fu(\(3)4573 6655 y Fp(\000)4627 6685 y Fq(;)g Fs(\000)p
Fu(1560)i Fs(\000)i Fu(2702)p Fq(\034)9 b Fu(\))p Fq(;)3553
6785 y Fu(\(6)3627 6754 y Fo(+)3682 6785 y Fq(;)14 b
Fu(3691)i(+)i(6393)p Fq(\034)9 b Fu(\)])3377 6884 y([\(4)3474
6854 y Fp(\000)3530 6884 y Fq(;)14 b Fu(7173)i(+)i(12424)p
Fq(\034)9 b Fu(\))p Fq(;)14 b Fu(\(2)4232 6854 y Fo(+)4285
6884 y Fq(;)g Fu(3482)j(+)h(6031)p Fq(\034)9 b Fu(\))p
Fq(;)14 b Fu(\(11)4988 6854 y Fp(\000)5042 6884 y Fq(;)g
Fu(0\))p Fq(;)3553 6984 y Fu(\(8)3627 6954 y Fo(+)3682
6984 y Fq(;)g Fs(\000)p Fu(3482)i Fs(\000)i Fu(6031)p
Fq(\034)9 b Fu(\)])3377 7083 y([\(4)3474 7053 y Fp(\000)3530
7083 y Fq(;)14 b Fu(7173)i(+)i(12424)p Fq(\034)9 b Fu(\))p
Fq(;)14 b Fu(\(8)4232 7053 y Fp(\000)4286 7083 y Fq(;)g
Fs(\000)p Fu(3482)i Fs(\000)i Fu(6031)p Fq(\034)9 b Fu(\))p
Fq(;)14 b Fu(\(11)5053 7053 y Fp(\000)5108 7083 y Fq(;)g
Fu(0\)])3377 7183 y([\(2)3474 7153 y Fp(\000)3530 7183
y Fq(;)g Fu(3482)i(+)i(6031)p Fq(\034)9 b Fu(\))p Fq(;)14
b Fu(\(6)4190 7153 y Fp(\000)4245 7183 y Fq(;)g Fu(3691)i(+)i(6393)p
Fq(\034)9 b Fu(\))p Fq(;)14 b Fu(\(11)4947 7153 y Fp(\000)5002
7183 y Fq(;)g Fu(0\)])3377 7283 y([\(6)3474 7253 y Fp(\000)3530
7283 y Fq(;)g Fu(3691)i(+)i(6393)p Fq(\034)9 b Fu(\))p
Fq(;)14 b Fu(\(4)4190 7253 y Fo(+)4244 7283 y Fq(;)g
Fu(7173)i(+)i(12424)p Fq(\034)9 b Fu(\))p Fq(;)3553 7382
y Fu(\(3)3627 7352 y Fp(\000)3683 7382 y Fq(;)14 b Fs(\000)p
Fu(12424)h Fs(\000)j Fu(21519)p Fq(\034)9 b Fu(\))p Fq(;)14
b Fu(\(10)4533 7352 y Fo(+)4586 7382 y Fq(;)g Fs(\000)p
Fu(7173)i Fs(\000)i Fu(12424)p Fq(\034)9 b Fu(\)])p 5576
7412 V 5661 3696 a(8)5661 3796 y(87)5661 3995 y(876)5661
4194 y(867)5661 4394 y(877)5661 4493 y(897)5661 4692
y(8)p Fq(a)p Fu(7)5661 4892 y(8)p Fq(d)p Fu(7)5661 4991
y(8)p Fq(c)p Fu(7)5661 5091 y(8)p Fq(d)p Fu(9)p Fq(c)p
Fu(7)5661 5290 y(8)p Fq(dac)p Fu(7)5661 5489 y(8)p Fq(dbc)p
Fu(7)5661 5689 y(8)p Fq(dcc)p Fu(7)5661 5788 y(8)p Fq(ddc)p
Fu(7)5661 5888 y(8)p Fq(dec)p Fu(7)5661 6087 y(8)p Fq(dbebc)p
Fu(7)5661 6286 y(8)p Fq(dbbB)t(Abbc)p Fu(7)5661 6486
y(8)p Fq(dbbB)t(B)t(Abbc)p Fu(7)5661 6685 y(8)p Fq(dbbB)t(A)p
Fu(5)p Fq(B)t(Abbc)p Fu(7)5661 6884 y(8)p Fq(dbbB)t(B)t(A)p
Fu(2)p Fq(B)t(B)t(Abbc)p Fu(7)5661 7083 y(8)p Fq(dbbB)t(B)t(A)p
Fu(01)p Fq(B)t(B)t(Abbc)p Fu(7)5661 7183 y(8)p Fq(dbbB)t(B)t(A)p
Fu(4)p Fq(B)t(B)t(Abbc)p Fu(7)5661 7283 y(8)p Fq(dbbB)t(B)t(A)p
Fu(5)p Fq(B)t(B)t(Abbc)p Fu(7)p 6523 7412 V 6691 3696
a(6773)6649 3796 y(13546)6649 3995 y(20187)6649 4194
y(20187)6649 4294 y(20319)6649 4493 y(26647)6649 4692
y(26801)6649 4792 y(26933)6649 4892 y(26933)6649 5091
y(53421)6649 5290 y(53575)6649 5489 y(53630)6649 5689
y(53707)6649 5888 y(53707)6649 5988 y(53993)6649 6087
y(80613)6608 6286 y(244544)6608 6486 y(348666)6608 6685
y(402015)6608 6884 y(608839)6608 7083 y(608971)6608 7183
y(608971)6608 7283 y(610259)p 6938 7412 V 7023 3746 a(\()p
Fs(\000)p Fu(209)16 b Fs(\000)i Fu(362)p Fq(\034)5 b(;)14
b Fu(362)i(+)i(627)p Fq(\034)9 b Fu(\))7023 3846 y(\()p
Fs(\000)p Fu(209)16 b Fs(\000)i Fu(362)p Fq(\034)5 b(;)14
b Fu(571)i(+)i(989)p Fq(\034)9 b Fu(\))7023 4045 y(\(0)p
Fq(;)14 b Fu(571)i(+)i(989)p Fq(\034)9 b Fu(\))7023 4244
y(\(0)p Fq(;)14 b Fu(571)i(+)i(989)p Fq(\034)9 b Fu(\))7023
4344 y(\(0)p Fq(;)14 b Fu(571)i(+)i(989)p Fq(\034)9 b
Fu(\))7023 4443 y(\()p Fs(\000)p Fu(989)16 b Fs(\000)i
Fu(1713)p Fq(\034)5 b(;)14 b Fu(1142)h(+)j(1978)p Fq(\034)9
b Fu(\))7023 4643 y(\()p Fs(\000)p Fu(780)16 b Fs(\000)i
Fu(1351)p Fq(\034)5 b(;)14 b Fu(1351)h(+)j(2340)p Fq(\034)9
b Fu(\))7023 4842 y(\()p Fs(\000)p Fu(780)16 b Fs(\000)i
Fu(1351)p Fq(\034)5 b(;)14 b Fu(1351)h(+)j(2340)p Fq(\034)9
b Fu(\))7023 4941 y(\()p Fs(\000)p Fu(780)16 b Fs(\000)i
Fu(1351)p Fq(\034)5 b(;)14 b Fu(1351)h(+)j(2340)p Fq(\034)9
b Fu(\))7023 5041 y(\()p Fs(\000)p Fu(1560)16 b Fs(\000)i
Fu(2702)p Fq(\034)5 b(;)14 b Fu(1351)h(+)j(2340)p Fq(\034)9
b Fu(\))7023 5240 y(\()p Fs(\000)p Fu(2340)16 b Fs(\000)i
Fu(4053)p Fq(\034)5 b(;)14 b Fu(2702)h(+)j(4680)p Fq(\034)9
b Fu(\))7023 5440 y(\()p Fs(\000)p Fu(2131)16 b Fs(\000)i
Fu(3691)p Fq(\034)5 b(;)14 b Fu(2131)h(+)j(3691)p Fq(\034)9
b Fu(\))7023 5639 y(\()p Fs(\000)p Fu(2340)16 b Fs(\000)i
Fu(4053)p Fq(\034)5 b(;)14 b Fu(2702)h(+)j(4680)p Fq(\034)9
b Fu(\))7023 5738 y(\()p Fs(\000)p Fu(2340)16 b Fs(\000)i
Fu(4053)p Fq(\034)5 b(;)14 b Fu(2702)h(+)j(4680)p Fq(\034)9
b Fu(\))7023 5838 y(\()p Fs(\000)p Fu(1560)16 b Fs(\000)i
Fu(2702)p Fq(\034)5 b(;)14 b Fu(2702)h(+)j(4680)p Fq(\034)9
b Fu(\))7023 6037 y(\()p Fs(\000)p Fu(3120)16 b Fs(\000)i
Fu(5404)p Fq(\034)5 b(;)14 b Fu(2702)h(+)j(4680)p Fq(\034)9
b Fu(\))7023 6237 y(\()p Fs(\000)p Fu(989)16 b Fs(\000)i
Fu(1713)p Fq(\034)5 b(;)14 b Fs(\000)p Fu(989)h Fs(\000)j
Fu(1713)p Fq(\034)9 b Fu(\))7023 6436 y(\()p Fs(\000)p
Fu(5251)16 b Fs(\000)i Fu(9095)p Fq(\034)5 b(;)14 b Fu(1922)h(+)j(3329)
p Fq(\034)9 b Fu(\))7023 6635 y(\(0)p Fq(;)14 b Fs(\000)p
Fu(3691)h Fs(\000)j Fu(6393)p Fq(\034)9 b Fu(\))7023
6834 y(\()p Fs(\000)p Fu(6031)16 b Fs(\000)i Fu(10446)p
Fq(\034)5 b(;)14 b Fu(6964)g(+)k(12062)p Fq(\034)9 b
Fu(\))7023 7034 y(\()p Fs(\000)p Fu(6031)16 b Fs(\000)i
Fu(10446)p Fq(\034)5 b(;)14 b Fu(6964)g(+)k(12062)p Fq(\034)9
b Fu(\))7023 7133 y(\()p Fs(\000)p Fu(6031)16 b Fs(\000)i
Fu(10446)p Fq(\034)5 b(;)14 b Fu(6964)g(+)k(12062)p Fq(\034)9
b Fu(\))7023 7233 y(\()p Fs(\000)p Fu(12424)15 b Fs(\000)k
Fu(21519)p Fq(\034)5 b(;)14 b Fu(7173)g(+)k(12424)p Fq(\034)9
b Fu(\))p 8348 7412 V 2002 7416 6348 4 v 1947 5470 a
 currentpoint currentpoint translate 1 0.8412 div 1 0.84076 div scale
neg exch neg exch translate

1947 5470 a 1947 5257 a
 currentpoint grestore moveto
 1947 5257 a 1905 5506 a Fu(36)p
eop
%%Page: 37 37
37 36 bop 1947 5257 a
 gsave currentpoint currentpoint translate 90 neg rotate neg exch neg
exch translate
 1947 5257 a 4374 3749 a FB(T)p
Fw(ABLE)33 b FB(V)g(\(a\))4252 3873 y Fw(PERIODIC)25
b(DOMAINS)1947 5400 y
 currentpoint currentpoint translate 0.84161 0.89806 scale neg exch
neg exch translate
 1947 5400 a 2002 3805 6345 4 v
2000 3926 4 122 v 2065 3891 a Fq(p=q)p 2250 3926 V 161
w(\020)2389 3861 y Fp(\003)p 2521 3926 V 2673 3891 a
Fq(!)p 2876 3926 V 245 w(n)3020 3903 y Fo(0)p 3148 3926
V 3234 3891 a Fq(j)p 3356 3926 V 131 w Fu(ret.)i(path)p
3771 3926 V 180 w Fq(t)3927 3848 y Fo(\()p Fr(n)p Fo(\))3927
3915 y Fr(j)p 4906 3926 V 5032 3891 a Fu(domain)g(\005)5389
3848 y Fo(\(0\))5389 3915 y Fr(j)p 7304 3926 V 7430 3891
a Fu(area)p 8346 3926 V 2002 3929 6345 4 v 2002 3946
V 2000 4344 4 399 v 2064 4166 a(1)p Fq(=)p Fu(5)p 2250
4344 V 105 w(\(0)p Fq(;)14 b Fu(0\))p 2521 4344 V 126
w(2)k Fs(\000)g Fq(\034)p 2876 4344 V 2961 4065 a Fs(\000)p
Fu(1)2993 4265 y(0)p 3148 4344 V 3233 4065 a(0)3233 4265
y(1)p 3356 4344 V 3440 4065 a(02)3440 4265 y(0)p 3771
4344 V 3856 4065 a(2\(40)f Fs(\001)h Fu(4)4114 4035 y
Fr(n)4177 4065 y Fs(\000)g Fu(1\))p Fq(=)p Fu(3)3856
4265 y(\(20)f Fs(\001)i Fu(4)4073 4234 y Fr(n)4136 4265
y Fu(+)f(4\))p Fq(=)p Fu(6)p 4906 4344 V 4990 4016 a([\(0)5087
3985 y Fo(+)5142 4016 y Fq(;)c Fu(5)k Fs(\000)g Fu(3)p
Fq(\034)9 b Fu(\))p Fq(;)14 b Fu(\(3)5552 3985 y Fo(+)5608
4016 y Fq(;)g Fu(4)j Fs(\000)h Fu(2)p Fq(\034)9 b Fu(\))p
Fq(;)14 b Fu(\(1)6017 3985 y Fo(+)6073 4016 y Fq(;)g
Fu(2)k Fs(\000)g Fq(\034)9 b Fu(\))p Fq(;)5166 4115 y
Fu(\(4)5240 4085 y Fo(+)5295 4115 y Fq(;)14 b Fu(6)k
Fs(\000)g Fu(4)p Fq(\034)9 b Fu(\))p Fq(;)14 b Fu(\(2)5705
4085 y Fo(+)5760 4115 y Fq(;)g Fu(1)k Fs(\000)g Fq(\034)9
b Fu(\)])4990 4215 y([\(0)5087 4185 y Fp(\000)5143 4215
y Fq(;)14 b Fu(0\))p Fq(;)g Fu(\(3)5365 4185 y Fp(\000)5421
4215 y Fq(;)g Fu(2)k Fs(\000)g Fq(\034)9 b Fu(\))p Fq(;)14
b Fu(\(1)5789 4185 y Fp(\000)5845 4215 y Fq(;)g Fu(0\))p
Fq(;)5166 4314 y Fu(\(4)5240 4284 y Fp(\000)5296 4314
y Fq(;)g Fu(1)k Fs(\000)g Fq(\034)9 b Fu(\))p Fq(;)14
b Fu(\(2)5664 4284 y Fp(\000)5721 4314 y Fq(;)g Fu(1)k
Fs(\000)g Fq(\034)9 b Fu(\)])p 7304 4344 V 7388 4016
a(\(322)p Fq(\034)27 b Fs(\000)18 b Fu(521\))p Fq(=)p
Fu(2)7388 4215 y(\(18)p Fq(\034)28 b Fs(\000)18 b Fu(29\))p
Fq(=)p Fu(2)p 8346 4344 V 2002 4348 6345 4 v 2000 4547
4 200 v 2064 4468 a(2)p Fq(=)p Fu(5)p 2250 4547 V 105
w(\(0)p Fq(;)c Fu(0\))p 2521 4547 V 126 w(1)k(+)g Fq(\034)p
2876 4547 V 208 w Fu(0)p 3148 4547 V 3233 4417 a(0)3233
4517 y(1)p 3356 4547 V 3440 4417 a(0)3440 4517 y(1)p
3771 4547 V 3856 4417 a(\(20)f Fs(\001)i Fu(4)4073 4387
y Fr(n)4136 4417 y Fu(+)f(4\))p Fq(=)p Fu(12)3856 4517
y(\(20)f Fs(\001)i Fu(4)4073 4487 y Fr(n)4136 4517 y
Fs(\000)f Fu(2\))p Fq(=)p Fu(6)p 4906 4547 V 4990 4417
a([\(0)5087 4387 y Fo(+)5142 4417 y Fq(;)c Fu(1)k(+)g(2)p
Fq(\034)9 b Fu(\)\))p Fq(;)14 b Fu(\(1)5584 4387 y Fo(+)5640
4417 y Fq(;)g Fu(0\))p Fq(;)g Fu(\(2)5862 4387 y Fo(+)5916
4417 y Fq(;)g Fu(1)k(+)g Fq(\034)9 b Fu(\))p Fq(;)14
b Fu(\(3)6284 4387 y Fo(+)6340 4417 y Fq(;)g Fu(1)k(+)g
Fq(\034)9 b Fu(\))p Fq(;)14 b Fu(\(4)6708 4387 y Fo(+)6764
4417 y Fq(;)g Fu(0\)])4990 4517 y([\(0)5087 4487 y Fp(\000)5143
4517 y Fq(;)g Fu(1)k(+)g(2)p Fq(\034)9 b Fu(\)\))p Fq(;)14
b Fu(\(1)5585 4487 y Fp(\000)5642 4517 y Fq(;)g Fu(1)k(+)g(2)p
Fq(\034)9 b Fu(\))p Fq(;)14 b Fu(\(2)6052 4487 y Fp(\000)6108
4517 y Fq(;)g Fu(0\))p Fq(;)g Fu(\(3)6330 4487 y Fp(\000)6385
4517 y Fq(;)g Fu(2)k(+)g(3)p Fq(\034)9 b Fu(\))p Fq(;)14
b Fu(\(4)6795 4487 y Fp(\000)6851 4517 y Fq(;)g Fu(0\)])p
7304 4547 V 7388 4417 a(\(18)k(+)g(29)p Fq(\034)9 b Fu(\))p
Fq(=)p Fu(2)7388 4517 y(\(47)18 b(+)g(76)p Fq(\034)9
b Fu(\))p Fq(=)p Fu(2)p 8346 4547 V 2002 4550 6345 4
v 2000 5048 4 499 v 2064 4820 a(1)p Fq(=)p Fu(8)p 2250
5048 V 103 w(\()p Fq(\034)c(;)14 b(\034)9 b Fu(\))p 2521
5048 V 105 w(3)18 b Fs(\000)g Fu(4)p Fq(\034)p 2876 5048
V 155 w Fs(\000)p Fu(1)p 3148 5048 V 3233 4620 a(0)3233
4819 y(1)p 3356 5048 V 3440 4620 a(0)3440 4819 y(20)p
3771 5048 V 3856 4620 a(6)f Fs(\001)i Fu(9)3999 4590
y Fr(n)p Fo(+1)4146 4620 y Fs(\000)f Fu(5)3856 4819 y(18)f
Fs(\001)h Fu(9)4040 4789 y Fr(n)p Fo(+1)4188 4819 y Fu(+)g(5)p
4906 5048 V 4990 4620 a([\(0)5087 4590 y Fo(+)5142 4620
y Fq(;)c Fu(0\))p Fq(;)g Fu(\(3)5364 4590 y Fo(+)5419
4620 y Fq(;)g Fu(12)j Fs(\000)h Fu(17)p Fq(\034)9 b Fu(\))p
Fq(;)14 b Fu(\(6)5912 4590 y Fo(+)5967 4620 y Fq(;)g
Fu(12)j Fs(\000)h Fu(17)p Fq(\034)9 b Fu(\))p Fq(;)14
b Fu(\(1)6460 4590 y Fo(+)6515 4620 y Fq(;)g Fu(0\))p
Fq(;)5166 4720 y Fu(\(4)5240 4689 y Fo(+)5295 4720 y
Fq(;)g Fu(17)k Fs(\000)g Fu(24)p Fq(\034)9 b Fu(\))p
Fq(;)14 b Fu(\(7)5789 4689 y Fo(+)5843 4720 y Fq(;)g
Fu(5)k Fs(\000)g Fu(7)p Fq(\034)9 b Fu(\))p Fq(;)14 b
Fu(\(2)6253 4689 y Fo(+)6309 4720 y Fq(;)g Fu(5)k Fs(\000)g
Fu(7)p Fq(\034)9 b Fu(\))p Fq(;)14 b Fu(\(5)6719 4689
y Fo(+)6774 4720 y Fq(;)g Fu(17)j Fs(\000)h Fu(24)p Fq(\034)9
b Fu(\)])4990 4819 y([\(0)5087 4789 y Fo(+)5142 4819
y Fq(;)14 b Fu(0\))p Fq(;)g Fu(\(3)5364 4789 y Fo(+)5419
4819 y Fq(;)g Fs(\000)p Fu(29)j(+)h(41)p Fq(\034)9 b
Fu(\))p Fq(;)14 b Fu(\(6)5977 4789 y Fo(+)6032 4819 y
Fq(;)g Fs(\000)p Fu(29)j(+)h(41)p Fq(\034)9 b Fu(\))p
Fq(;)5166 4919 y Fu(\(1)5240 4889 y Fo(+)5295 4919 y
Fq(;)14 b Fu(0\))p Fq(;)g Fu(\(4)5517 4889 y Fo(+)5572
4919 y Fq(;)g Fs(\000)p Fu(41)j(+)h(58)p Fq(\034)9 b
Fu(\))p Fq(;)14 b Fu(\(7)6130 4889 y Fo(+)6185 4919 y
Fq(;)g Fs(\000)p Fu(12)j(+)h(17)p Fq(\034)9 b Fu(\))p
Fq(;)5166 5018 y Fu(\(2)5240 4988 y Fo(+)5295 5018 y
Fq(;)14 b Fs(\000)p Fu(12)j(+)h(17)p Fq(\034)9 b Fu(\))p
Fq(;)14 b Fu(\(5)5853 4988 y Fo(+)5908 5018 y Fq(;)g
Fs(\000)p Fu(41)j(+)h(58)p Fq(\034)9 b Fu(\)])p 7304
5048 V 7388 4620 a(\(3940)17 b Fs(\000)h Fu(5571)p Fq(\034)9
b Fu(\))p Fq(=)p Fu(2)7388 4819 y(\(22964)17 b Fs(\000)h
Fu(32476)p Fq(\034)9 b Fu(\))p Fq(=)p Fu(2)p 8346 5048
V 2002 5052 6345 4 v 2000 5450 4 399 v 2064 5272 a(3)p
Fq(=)p Fu(8)p 2250 5450 V 103 w(\(0)p Fq(;)14 b(\034)9
b Fu(\))p 2521 5450 V 104 w(3)18 b(+)g(4)p Fq(\034)p
2876 5450 V 155 w Fs(\000)p Fu(1)p 3148 5450 V 3233 5121
a(0)3233 5321 y(1)p 3356 5450 V 3440 5121 a(0)3440 5321
y(20)p 3771 5450 V 3856 5121 a(18)f Fs(\001)h Fu(9)4040
5091 y Fr(n)4104 5121 y Fu(+)g(1)3856 5321 y(54)f Fs(\001)h
Fu(9)4040 5290 y Fr(n)4104 5321 y Fs(\000)g Fu(1)p 4906
5450 V 4990 5121 a([\(0)5087 5091 y Fp(\000)5143 5121
y Fq(;)c Fu(7)k(+)g(10)p Fq(\034)9 b Fu(\))p Fq(;)14
b Fu(\(1)5595 5091 y Fp(\000)5651 5121 y Fq(;)g Fu(0\))p
Fq(;)g Fu(\(2)5873 5091 y Fp(\000)5928 5121 y Fq(;)g
Fu(5)k(+)g(7)p Fq(\034)9 b Fu(\))p Fq(;)14 b Fu(\(3)6338
5091 y Fp(\000)6394 5121 y Fq(;)g Fu(5)k(+)g(7)p Fq(\034)9
b Fu(\))p Fq(;)14 b Fu(\(4)6804 5091 y Fp(\000)6861 5121
y Fq(;)g Fu(0\))p Fq(;)5166 5221 y Fu(\(5)5240 5191 y
Fp(\000)5296 5221 y Fq(;)g Fu(7)k(+)g(10)p Fq(\034)9
b Fu(\))p Fq(;)14 b Fu(\(6)5748 5191 y Fp(\000)5804 5221
y Fq(;)g Fu(2)k(+)g(3)p Fq(\034)9 b Fu(\))p Fq(;)14 b
Fu(\(7)6214 5191 y Fp(\000)6270 5221 y Fq(;)g Fu(2)k(+)g(3)p
Fq(\034)9 b Fu(\)])4990 5321 y([\(0)5087 5290 y Fp(\000)5143
5321 y Fq(;)14 b Fs(\000)p Fu(17)j Fs(\000)h Fu(24)p
Fq(\034)9 b Fu(\))p Fq(;)14 b Fu(\(1)5701 5290 y Fp(\000)5757
5321 y Fq(;)g Fu(0\))p Fq(;)g Fu(\(2)5979 5290 y Fp(\000)6034
5321 y Fq(;)g Fs(\000)p Fu(12)j Fs(\000)h Fu(17)p Fq(\034)9
b Fu(\))p Fq(;)14 b Fu(\(3)6592 5290 y Fp(\000)6648 5321
y Fq(;)g Fs(\000)p Fu(12)j Fs(\000)h Fu(17)p Fq(\034)9
b Fu(\))p Fq(;)5166 5420 y Fu(\(4)5240 5390 y Fp(\000)5296
5420 y Fq(;)14 b Fu(0\))p Fq(;)g Fu(\(5)5518 5390 y Fp(\000)5574
5420 y Fq(;)g Fs(\000)p Fu(17)j Fs(\000)h Fu(24)p Fq(\034)9
b Fu(\))p Fq(;)14 b Fu(\(6)6132 5390 y Fp(\000)6187 5420
y Fq(;)g Fs(\000)p Fu(5)k Fs(\000)g Fu(7)p Fq(\034)9
b Fu(\))p Fq(;)14 b Fu(\(7)6662 5390 y Fp(\000)6718 5420
y Fq(;)g Fs(\000)p Fu(5)j Fs(\000)h Fu(7)p Fq(\034)9
b Fu(\)])p 7304 5450 V 7388 5121 a(338)17 b(+)h(478)p
Fq(\034)7388 5321 y Fu(1970)f(+)h(2786)p Fq(\034)p 8346
5450 V 2002 5453 6345 4 v 2000 5752 4 299 v 2044 5624
a Fu(1)p Fq(=)p Fu(10)p 2250 5752 V 81 w(\()p Fq(\034)5
b(;)14 b(\034)9 b Fu(\))p 2521 5752 V 126 w(1)18 b Fs(\000)g
Fq(\034)p 2876 5752 V 2961 5573 a Fs(\000)p Fu(1)2993
5673 y(0)p 3148 5752 V 3233 5523 a(0)3233 5722 y(1)p
3356 5752 V 3440 5523 a(02)3440 5722 y(0)p 3771 5752
V 3856 5523 a(28\(20)e Fs(\001)j Fu(4)4156 5493 y Fr(n)4219
5523 y Fs(\000)f Fu(2\))p Fq(=)p Fu(3)3856 5722 y(7\(20)f
Fs(\001)h Fu(4)4114 5692 y Fr(n)4177 5722 y Fu(+)g(16\))p
Fq(=)p Fu(6)p 4906 5752 V 4990 5523 a([\(5)5087 5493
y Fo(+)5142 5523 y Fq(;)c Fs(\000)p Fu(21)j(+)h(34)p
Fq(\034)9 b Fu(\))p Fq(;)14 b Fu(\(1)5700 5493 y Fo(+)5755
5523 y Fq(;)g Fs(\000)p Fu(5)k(+)g(8)p Fq(\034)9 b Fu(\))p
Fq(;)14 b Fu(\(7)6230 5493 y Fo(+)6285 5523 y Fq(;)g
Fs(\000)p Fu(26)j(+)h(42)p Fq(\034)9 b Fu(\))p Fq(;)5166
5623 y Fu(\(3)5240 5593 y Fo(+)5295 5623 y Fq(;)14 b
Fs(\000)p Fu(8)k(+)g(13)p Fq(\034)9 b Fu(\))p Fq(;)14
b Fu(\(9)5812 5593 y Fo(+)5867 5623 y Fq(;)g Fs(\000)p
Fu(16)i(+)j(26)p Fq(\034)9 b Fu(\)])4990 5722 y([\(0)5087
5692 y Fo(+)5142 5722 y Fq(;)14 b Fu(0\))p Fq(;)g Fu(\(6)5364
5692 y Fo(+)5419 5722 y Fq(;)g Fu(5)k Fs(\000)g Fu(8)p
Fq(\034)9 b Fu(\))p Fq(;)14 b Fu(\(2)5829 5692 y Fo(+)5884
5722 y Fq(;)g Fu(5)k Fs(\000)g Fu(8)p Fq(\034)9 b Fu(\))p
Fq(;)14 b Fu(\(8)6294 5692 y Fo(+)6349 5722 y Fq(;)g
Fu(0\))p Fq(;)g Fu(\(4)6571 5692 y Fo(+)6626 5722 y Fq(;)g
Fu(8)k Fs(\000)g Fu(13)p Fq(\034)9 b Fu(\)])p 7304 5752
V 7388 5523 a(\(15127)17 b Fs(\000)h Fu(24476)p Fq(\034)9
b Fu(\))p Fq(=)p Fu(2)7388 5722 y(\(843)18 b Fs(\000)g
Fu(1364)p Fq(\034)9 b Fu(\))p Fq(=)p Fu(2)p 8346 5752
V 2002 5756 6345 4 v 2000 5955 4 200 v 2044 5876 a(3)p
Fq(=)p Fu(10)p 2250 5955 V 81 w(\(0)p Fq(;)14 b(\034)9
b Fu(\))p 2521 5955 V 125 w(2)18 b(+)g Fq(\034)p 2876
5955 V 2961 5825 a Fs(\000)p Fu(1)2993 5925 y(0)p 3148
5955 V 3233 5825 a(0)3233 5925 y(1)p 3356 5955 V 3440
5825 a(04)3440 5925 y(0)p 3771 5955 V 3856 5825 a(\(80)f
Fs(\001)i Fu(4)4073 5795 y Fr(n)4136 5825 y Fs(\000)f
Fu(8\))p Fq(=)p Fu(3)3856 5925 y(\(10)f Fs(\001)i Fu(4)4073
5895 y Fr(n)4136 5925 y Fu(+)f(8\))p Fq(=)p Fu(3)p 4906
5955 V 4990 5825 a([\(0)5087 5795 y Fp(\000)5143 5825
y Fq(;)c Fu(1)k(+)g Fq(\034)9 b Fu(\))p Fq(;)14 b Fu(\(2)5511
5795 y Fp(\000)5568 5825 y Fq(;)g Fu(4)k(+)g(2)p Fq(\034)9
b Fu(\))p Fq(;)14 b Fu(\(4)5978 5795 y Fp(\000)6034 5825
y Fq(;)g Fu(1)p Fq(\034)9 b Fu(\))p Fq(;)14 b Fu(\(6)6301
5795 y Fp(\000)6357 5825 y Fq(;)g Fu(3)k(+)g(2)p Fq(\034)9
b Fu(\))p Fq(;)14 b Fu(\(8)6767 5795 y Fp(\000)6823 5825
y Fq(;)g Fu(2)k(+)g(2)p Fq(\034)9 b Fu(\)])4990 5925
y([\(1)5087 5895 y Fp(\000)5143 5925 y Fq(;)14 b Fu(0\))p
Fq(;)g Fu(\(3)5365 5895 y Fp(\000)5421 5925 y Fq(;)g
Fs(\000)p Fu(1)j Fs(\000)h Fq(\034)9 b Fu(\))p Fq(;)14
b Fu(\(5)5853 5895 y Fp(\000)5910 5925 y Fq(;)g Fu(0\))p
Fq(;)g Fu(\(7)6132 5895 y Fp(\000)6187 5925 y Fq(;)g
Fs(\000)p Fu(1\))p Fq(;)g Fu(\(9)6474 5895 y Fp(\000)6529
5925 y Fq(;)g Fs(\000)p Fu(1\)])p 7304 5955 V 7388 5825
a(\()p Fs(\000)p Fu(199)j Fs(\000)h Fu(123)p Fq(\034)9
b Fu(\))p Fq(=)p Fu(2)7388 5925 y(\()p Fs(\000)p Fu(11)18
b Fs(\000)g Fu(7)p Fq(\034)9 b Fu(\))p Fq(=)p Fu(2)p
8346 5955 V 2002 5958 6345 4 v 2000 6954 4 997 v 2044
6477 a(1)p Fq(=)p Fu(12)p 2250 6954 V 81 w(\()p Fq(\034)c(;)14
b(\034)9 b Fu(\))p 2521 6954 V 84 w(7)18 b Fs(\000)g
Fu(12)p Fq(\034)p 2876 6954 V 166 w Fu(0)p 3148 6954
V 3233 6028 a(0)3233 6227 y(1)3233 6426 y(2)3233 6626
y(3)p 3356 6954 V 3440 6028 a(7)3440 6227 y(033533)3440
6426 y(88737)3440 6626 y(8)p 3771 6954 V 3856 6028 a(2\(612)e
Fs(\001)j Fu(25)4198 5998 y Fr(n)p Fo(+1)4345 6028 y
Fs(\000)f Fu(45)f Fs(\001)i Fu(4)4613 5998 y Fr(n)p Fo(+1)4022
6128 y Fs(\000)p Fu(350\))p Fq(=)p Fu(35)3856 6227 y(12\(306)d
Fs(\001)i Fu(25)4239 6197 y Fr(n)p Fo(+1)4386 6227 y
Fs(\000)g Fu(180)f Fs(\001)i Fu(4)4696 6197 y Fr(n)p
Fo(+1)4022 6327 y Fu(+175\))p Fq(=)p Fu(35)3856 6426
y(4\(306)d Fs(\001)j Fu(25)4198 6396 y Fr(n)p Fo(+1)4326
6426 y Fu(+)4022 6526 y(9)f Fs(\001)g Fu(4)4165 6496
y Fr(n)p Fo(+1)4312 6526 y Fs(\000)g Fu(35\))p Fq(=)p
Fu(7)3856 6626 y(\(306)f Fs(\001)h Fu(25)4156 6596 y
Fr(n)p Fo(+1)4285 6626 y Fu(+)4022 6725 y(72)f Fs(\001)i
Fu(4)4207 6695 y Fr(n)p Fo(+1)4354 6725 y Fu(+)f(35\))p
Fq(=)p Fu(7)p 4906 6954 V 4990 6028 a([\(0)5087 5998
y Fo(+)5142 6028 y Fq(;)c Fu(0\))p Fq(;)g Fu(\(5)5364
5998 y Fo(+)5419 6028 y Fq(;)g Fu(56)j Fs(\000)h Fu(97)p
Fq(\034)9 b Fu(\))p Fq(;)14 b Fu(\(8)5912 5998 y Fo(+)5967
6028 y Fq(;)g Fu(56)j Fs(\000)h Fu(97)p Fq(\034)9 b Fu(\))p
Fq(;)14 b Fu(\(1)6460 5998 y Fo(+)6515 6028 y Fq(;)g
Fu(0\))p Fq(;)5166 6128 y Fu(\(4)5240 6097 y Fo(+)5295
6128 y Fq(;)g Fu(41)k Fs(\000)g Fu(71)p Fq(\034)9 b Fu(\))p
Fq(;)14 b Fu(\(9)5789 6097 y Fo(+)5843 6128 y Fq(;)g
Fu(41)k Fs(\000)g Fu(71)p Fq(\034)9 b Fu(\)])4990 6227
y([\(0)5087 6197 y Fo(+)5142 6227 y Fq(;)14 b Fu(0\))p
Fq(;)g Fu(\(5)5364 6197 y Fo(+)5419 6227 y Fq(;)g Fs(\000)p
Fu(97)j(+)h(168)p Fq(\034)9 b Fu(\))p Fq(;)14 b Fu(\(8)6019
6197 y Fo(+)6073 6227 y Fq(;)g Fs(\000)p Fu(41)j(+)h(71)p
Fq(\034)9 b Fu(\))p Fq(;)14 b Fu(\(9)6631 6197 y Fo(+)6686
6227 y Fq(;)g Fs(\000)p Fu(15)j(+)h(26)p Fq(\034)9 b
Fu(\)])4990 6426 y([\(0)5087 6396 y Fo(+)5142 6426 y
Fq(;)14 b Fu(0\))p Fq(;)g Fu(\(7)5364 6396 y Fo(+)5419
6426 y Fq(;)g Fu(153)j Fs(\000)h Fu(265)p Fq(\034)9 b
Fu(\))p Fq(;)14 b Fu(\(4)5996 6396 y Fo(+)6050 6426 y
Fq(;)g Fu(306)j Fs(\000)h Fu(530)p Fq(\034)9 b Fu(\))p
Fq(;)14 b Fu(\(11)6669 6396 y Fo(+)6723 6426 y Fq(;)g
Fs(\000)p Fu(56)j(+)h(97)p Fq(\034)9 b Fu(\))p Fq(;)5166
6526 y Fu(\(8)5240 6496 y Fo(+)5295 6526 y Fq(;)14 b
Fu(56)k Fs(\000)g Fu(97)p Fq(\034)9 b Fu(\))p Fq(;)14
b Fu(\(3)5789 6496 y Fo(+)5843 6526 y Fq(;)g Fu(265)j
Fs(\000)h Fu(459)p Fq(\034)9 b Fu(\)])4990 6626 y([\(1)5087
6596 y Fo(+)5142 6626 y Fq(;)14 b Fu(0\))p Fq(;)g Fu(\(8)5364
6596 y Fo(+)5419 6626 y Fq(;)g Fs(\000)p Fu(362)i(+)i(627)p
Fq(\034)9 b Fu(\))p Fq(;)14 b Fu(\(3)6060 6596 y Fo(+)6115
6626 y Fq(;)g Fs(\000)p Fu(153)i(+)i(265)p Fq(\034)9
b Fu(\))p Fq(;)5166 6725 y Fu(\(10)5282 6695 y Fo(+)5337
6725 y Fq(;)14 b Fs(\000)p Fu(362)i(+)i(627)p Fq(\034)9
b Fu(\))p Fq(;)14 b Fu(\(5)5978 6695 y Fo(+)6033 6725
y Fq(;)g Fs(\000)p Fu(418)i(+)i(724)p Fq(\034)9 b Fu(\))p
Fq(;)14 b Fu(\(0)6674 6695 y Fo(+)6728 6725 y Fq(;)g
Fs(\000)p Fu(56)j(+)h(97)p Fq(\034)9 b Fu(\))p Fq(;)5166
6825 y Fu(\(7)5240 6795 y Fo(+)5295 6825 y Fq(;)14 b
Fs(\000)p Fu(265)j(+)h(459)p Fq(\034)9 b Fu(\))p Fq(;)14
b Fu(\(2)5937 6795 y Fo(+)5991 6825 y Fq(;)g Fs(\000)p
Fu(56)j(+)h(97)p Fq(\034)9 b Fu(\))p Fq(;)14 b Fu(\(9)6549
6795 y Fo(+)6604 6825 y Fq(;)g Fs(\000)p Fu(265)i(+)i(459)p
Fq(\034)9 b Fu(\))5166 6925 y(\(4)5240 6894 y Fo(+)5295
6925 y Fq(;)14 b Fs(\000)p Fu(265)j(+)h(459)p Fq(\034)9
b Fu(\))p Fq(;)14 b Fu(\(11)5979 6894 y Fo(+)6033 6925
y Fq(;)g Fs(\000)p Fu(56)j(+)h(97)p Fq(\034)9 b Fu(\))p
Fq(;)14 b Fu(\(6)6591 6894 y Fo(+)6645 6925 y Fq(;)g
Fs(\000)p Fu(418)j(+)h(724)p Fq(\034)9 b Fu(\)])p 7304
6954 V 7388 6128 a(\(29681)17 b Fs(\000)h Fu(51409)p
Fq(\034)9 b Fu(\))p Fq(=)p Fu(2)7388 6227 y(\(70226)17
b Fs(\000)h Fu(121635)p Fq(\034)9 b Fu(\))p Fq(=)p Fu(6)7388
6327 y(\(413403)16 b Fs(\000)i Fu(716035)p Fq(\034)9
b Fu(\))p Fq(=)p Fu(2)7388 6526 y(\(3912488)16 b Fs(\000)i
Fu(6776628)p Fq(\034)9 b Fu(\))p Fq(=)p Fu(2)p 8346 6954
V 2002 6958 6345 4 v 1947 5400 a
 currentpoint currentpoint translate 1 0.84161 div 1 0.89806 div scale
neg exch neg exch translate
 1947 5400 a 1947 5257
a
 currentpoint grestore moveto
 1947 5257 a 1905 5506 a Fu(37)p eop
%%Page: 38 38
38 37 bop 1947 5257 a
 gsave currentpoint currentpoint translate 90 neg rotate neg exch neg
exch translate
 1947 5257 a 4371 4045 a FB(T)p
Fw(ABLE)34 b FB(V)e(\(b\))4252 4170 y Fw(PERIODIC)25
b(DOMAINS)3899 4269 y Fu(Abbreviations:)36 b Fq(J)c Fu(=)22
b Fq(j)5 b(j)g(j)g Fu(242,)26 b Fq(K)j Fu(=)22 b Fq(j)5
b(j)g(j)g Fu(2022)1947 5458 y
 currentpoint currentpoint translate 0.86777 0.90746 scale neg exch
neg exch translate
 1947 5458 a 2002 4270 6151
4 v 2000 4391 4 122 v 2065 4356 a Fq(p=q)p 2250 4391
V 281 w(\020)2509 4326 y Fp(\003)p 2761 4391 V 2892 4356
a Fq(!)p 3074 4391 V 225 w(n)3219 4368 y Fo(0)p 3346
4391 V 3390 4356 a Fq(j)p 3554 4391 V 256 w Fu(return)27
b(path)p 4277 4391 V 469 w Fq(t)4599 4313 y Fo(\()p Fr(n)p
Fo(\))4599 4379 y Fr(j)p 5351 4391 V 5560 4356 a Fu(domain)g(\005)5917
4313 y Fo(\(0\))5917 4379 y Fr(j)p 7243 4391 V 7452 4356
a Fu(area)p 8151 4391 V 2002 4394 6151 4 v 2002 4411
V 2000 6104 4 1694 v 2044 5278 a(5)p Fq(=)p Fu(12)p 2250
6104 V 201 w(\()p Fq(\034)5 b(;)14 b(\034)9 b Fu(\))p
2761 6104 V 204 w(2)18 b(+)g(3)p Fq(\034)p 3074 6104
V 3159 4480 a Fs(\000)p Fu(1)3159 4680 y Fs(\000)p Fu(1)3159
4879 y Fs(\000)p Fu(2)3159 5178 y Fs(\000)p Fu(3)3159
5377 y Fs(\000)p Fu(1)3159 5576 y Fs(\000)p Fu(1)3159
5776 y Fs(\000)p Fu(1)3159 5975 y Fs(\000)p Fu(1)p 3346
6104 V 3431 4480 a(0)3431 4680 y(1)3431 4879 y(2)3431
5178 y(3)3431 5377 y(4)3431 5576 y(5)3431 5776 y(6)3431
5975 y(7)p 3554 6104 V 3639 4480 a(022)p Fq(J)8 b Fu(\()p
Fq(J)g(K)e Fu(\))4014 4450 y Fo(3)3805 4580 y Fu(\()p
Fq(K)g(J)i Fu(\))4000 4550 y Fo(2)4037 4580 y Fq(j)d(j)g(j)g
Fu(2)3639 4680 y(022422)3639 4879 y(2)p Fq(j)g(j)g(j)3639
5178 y(al)r(l)r(al)r(al)r(aal)r(al)3639 5377 y(al)r(l)r(al)r(aj)g(cj)g
(l)3639 5576 y(al)r(aj)g(f)k(j)c(l)r(al)r(a)3639 5776
y(aj)g(ej)g(l)3639 5975 y(hj)g(j)p 4277 6104 V 4403 4480
a Fu(2499840)15 b Fs(\001)j Fu(4)4795 4450 y Fr(n)4859
4480 y Fs(\000)g Fu(228)4486 4680 y(80640)e Fs(\001)i
Fu(4)4795 4650 y Fr(n)4859 4680 y Fu(+)g(636)4444 4879
y(174720)e Fs(\001)i Fu(4)4795 4849 y Fr(n)4859 4879
y Fs(\000)g Fu(284)4444 5178 y(645120)e Fs(\001)i Fu(4)4795
5148 y Fr(n)4859 5178 y Fs(\000)g Fu(636)4361 5377 y(1093680)d
Fs(\001)k Fu(4)4754 5347 y Fr(n)4817 5377 y Fs(\000)f
Fu(1500)4361 5576 y(1093680)d Fs(\001)k Fu(4)4754 5546
y Fr(n)4817 5576 y Fs(\000)f Fu(1500)4403 5776 y(564480)d
Fs(\001)k Fu(4)4754 5745 y Fr(n)4817 5776 y Fs(\000)f
Fu(1140)4444 5975 y(352800)e Fs(\001)i Fu(4)4795 5945
y Fr(n)4859 5975 y Fs(\000)g Fu(996)p 5351 6104 V 5435
4480 a([4)5500 4450 y Fp(\000)5556 4480 y Fq(;)c Fs(\000)p
Fu(10864)h Fs(\000)j Fu(18817)p Fq(\034)9 b Fu(\))p Fq(;)14
b Fu(\(11)6406 4450 y Fp(\000)6460 4480 y Fq(;)g Fs(\000)p
Fu(6602)i Fs(\000)i Fu(11435)p Fq(\034)9 b Fu(\))p Fq(;)5611
4580 y Fu(\(8)5685 4550 y Fp(\000)5741 4580 y Fq(;)14
b Fu(21157)i(+)i(36645)p Fq(\034)9 b Fu(\))p Fq(;)14
b Fu(\(7)6485 4550 y Fp(\000)6539 4580 y Fq(;)g Fu(5251)j(+)h(9095)p
Fq(\034)9 b Fu(\)])5435 4680 y([0)5500 4650 y Fp(\000)5556
4680 y Fq(;)14 b Fu(571)j(+)h(989)p Fq(\034)9 b Fu(\))p
Fq(;)14 b Fu(\(7)6133 4650 y Fp(\000)6188 4680 y Fq(;)g
Fu(209)j(+)h(362)p Fq(\034)9 b Fu(\))p Fq(;)14 b Fu(\(4)6765
4650 y Fp(\000)6820 4680 y Fq(;)g Fu(0\))p Fq(;)5611
4779 y Fu(\(3)5685 4749 y Fp(\000)5741 4779 y Fq(;)g
Fu(1351)i(+)i(2340)p Fq(\034)9 b Fu(\)])5435 4879 y([\(7)5532
4849 y Fp(\000)5588 4879 y Fq(;)14 b Fs(\000)p Fu(571)j
Fs(\000)h Fu(989)p Fq(\034)9 b Fu(\))p Fq(;)14 b Fu(\(6)6230
4849 y Fp(\000)6285 4879 y Fq(;)g Fs(\000)p Fu(1351)i
Fs(\000)i Fu(2340)p Fq(\034)9 b Fu(\))p Fq(;)5601 4979
y Fu(\(3)5675 4948 y Fp(\000)5731 4979 y Fq(;)14 b Fs(\000)p
Fu(4471)i Fs(\000)i Fu(7744)p Fq(\034)9 b Fu(\))p Fq(;)14
b Fu(\(2)6456 4948 y Fp(\000)6511 4979 y Fq(;)g Fu(571)j(+)h(989)p
Fq(\034)9 b Fu(\))p Fq(;)5611 5078 y Fu(\(11)5727 5048
y Fp(\000)5783 5078 y Fq(;)14 b Fu(0\))p Fq(;)g Fu(\(10)6047
5048 y Fp(\000)6101 5078 y Fq(;)g Fs(\000)p Fu(4262)i
Fs(\000)i Fu(7382)p Fq(\034)9 b Fu(\)])5435 5178 y([\(0)5532
5148 y Fp(\000)5588 5178 y Fq(;)14 b Fs(\000)p Fu(780)j
Fs(\000)h Fu(1351)p Fq(\034)9 b Fu(\))p Fq(;)14 b Fu(\(1)6272
5148 y Fp(\000)6326 5178 y Fq(;)g Fu(4262)j(+)h(7382)p
Fq(\034)9 b Fu(\))p Fq(;)5611 5277 y Fu(\(4)5685 5247
y Fp(\000)5741 5277 y Fq(;)14 b Fu(5042)i(+)i(8733)p
Fq(\034)9 b Fu(\))p Fq(;)14 b Fu(\(9)6401 5247 y Fp(\000)6456
5277 y Fq(;)g Fu(3691)j(+)h(6393)p Fq(\034)9 b Fu(\)])5435
5377 y([\(0)5532 5347 y Fp(\000)5588 5377 y Fq(;)14 b
Fs(\000)p Fu(780)j Fs(\000)h Fu(1351)p Fq(\034)9 b Fu(\))p
Fq(;)14 b Fu(\(4)6272 5347 y Fp(\000)6326 5377 y Fq(;)g
Fu(5042)j(+)h(8733)p Fq(\034)9 b Fu(\))p Fq(;)5611 5477
y Fu(\(7)5685 5447 y Fp(\000)5741 5477 y Fq(;)14 b Fs(\000)p
Fu(4262)i Fs(\000)i Fu(7382)p Fq(\034)9 b Fu(\)])5435
5576 y([\(1)5532 5546 y Fp(\000)5588 5576 y Fq(;)14 b
Fu(1351)i(+)i(2340)p Fq(\034)9 b Fu(\))p Fq(;)14 b Fu(\(5)6248
5546 y Fp(\000)6303 5576 y Fq(;)g Fs(\000)p Fu(2131)i
Fs(\000)i Fu(3691)p Fq(\034)9 b Fu(\))p Fq(;)5611 5676
y Fu(\(10)5727 5646 y Fp(\000)5783 5676 y Fq(;)14 b Fs(\000)p
Fu(7953)i Fs(\000)i Fu(13775)p Fq(\034)9 b Fu(\)])5435
5776 y([\(0)5532 5745 y Fp(\000)5588 5776 y Fq(;)14 b
Fs(\000)p Fu(780)j Fs(\000)h Fu(1351)p Fq(\034)9 b Fu(\))p
Fq(;)14 b Fu(\(3)6272 5745 y Fp(\000)6326 5776 y Fq(;)g
Fs(\000)p Fu(780)j Fs(\000)h Fu(1351)p Fq(\034)9 b Fu(\))p
Fq(;)5611 5875 y Fu(\(7)5685 5845 y Fp(\000)5741 5875
y Fq(;)14 b Fs(\000)p Fu(4262)i Fs(\000)i Fu(7382)p Fq(\034)9
b Fu(\))p Fq(;)14 b Fu(\(8)6466 5845 y Fp(\000)6521 5875
y Fq(;)g Fs(\000)p Fu(4262)i Fs(\000)i Fu(7382)p Fq(\034)9
b Fu(\)])5435 5975 y([\(0)5532 5945 y Fp(\000)5588 5975
y Fq(;)14 b Fs(\000)p Fu(3691)i Fs(\000)i Fu(6393)p Fq(\034)9
b Fu(\))p Fq(;)14 b Fu(\(3)6313 5945 y Fp(\000)6368 5975
y Fq(;)g Fs(\000)p Fu(1560)i Fs(\000)i Fu(2702)p Fq(\034)9
b Fu(\))p Fq(;)5611 6074 y Fu(\(8)5685 6044 y Fp(\000)5741
6074 y Fq(;)14 b Fs(\000)p Fu(571)i Fs(\000)j Fu(989)p
Fq(\034)9 b Fu(\))p Fq(;)14 b Fu(\(11)6425 6044 y Fp(\000)6479
6074 y Fq(;)g Fu(0\)])p 7243 6104 V 7327 4480 a(\(2642885282+)7494
4580 y(4577611587)p Fq(\034)9 b Fu(\))p Fq(=)p Fu(6)7327
4680 y(\(13623482+)7494 4779 y(23596563)p Fq(\034)g Fu(\))p
Fq(=)p Fu(6)7327 4879 y(\(80198051+)7494 4979 y(138907099)p
Fq(\034)g Fu(\))p Fq(=)p Fu(2)7327 5178 y(\(189750626+)7494
5277 y(328657725)p Fq(\034)g Fu(\))p Fq(=)p Fu(6)7327
5377 y(\()p Fs(\000)p Fu(408855776)p Fs(\000)7494 5477
y Fu(708158977)p Fq(\034)g Fu(\))p Fq(=)p Fu(12)7327
5576 y(\()p Fs(\000)p Fu(408855776)p Fs(\000)7494 5676
y Fu(708158977)p Fq(\034)g Fu(\))p Fq(=)p Fu(12)7327
5776 y(\(299303201+)7494 5875 y(518408351)p Fq(\034)g
Fu(\))p Fq(=)p Fu(6)7327 5975 y(\(101687054+)7494 6074
y(176127144)p Fq(\034)g Fu(\))p Fq(=)p Fu(6)p 8151 6104
V 2002 6108 6151 4 v 2000 6606 4 499 v 2044 6377 a(5)p
Fq(=)p Fu(12)p 2250 6606 V 2293 6327 a(\(41)18 b(+)g(72)p
Fq(\034)5 b(;)2376 6426 y Fu(41)17 b(+)h(72)p Fq(\034)9
b Fu(\))p 2761 6606 V 2804 6377 a(2)18 b(+)g(3)p Fq(\034)p
3074 6606 V 3191 6177 a Fu(0)3159 6377 y Fs(\000)p Fu(1)p
3346 6606 V 3431 6177 a(0)3431 6377 y(1)p 3554 6606 V
3639 6177 a(088)p Fq(a)p Fu(88)3744 6377 y(3)p 4277 6606
V 4361 6177 a(\(12)p Fq(=)p Fu(7\)\(132450)d Fs(\001)j
Fu(5)4975 6147 y Fr(n)5020 6177 y Fu(+)4527 6277 y(4736)f
Fs(\001)h Fu(\()p Fs(\000)p Fu(2\))4924 6247 y Fr(n)4988
6277 y Fs(\000)g Fu(973\))4361 6377 y(\(1)p Fq(=)p Fu(7\)\(529800)d
Fs(\001)k Fu(5)4934 6346 y Fr(n)4979 6377 y Fu(+)4527
6476 y(2368)e Fs(\001)h Fu(\()p Fs(\000)p Fu(2\))4924
6446 y Fr(n)4988 6476 y Fu(+)g(3892\))p 5351 6606 V 5435
6177 a([\(3)5532 6147 y Fp(\000)5588 6177 y Fq(;)c Fu(209)j(+)h(362)p
Fq(\034)9 b Fu(\))p Fq(;)14 b Fu(\(10)6207 6147 y Fp(\000)6262
6177 y Fq(;)g Fu(571)j(+)h(989)p Fq(\034)9 b Fu(\))p
Fq(;)5611 6277 y Fu(\(7)5685 6247 y Fp(\000)5741 6277
y Fq(;)14 b Fu(1351)i(+)i(2340)p Fq(\034)9 b Fu(\))p
Fq(;)14 b Fu(\(6)6401 6247 y Fp(\000)6456 6277 y Fq(;)g
Fu(0\)])5435 6377 y([\(6)5532 6346 y Fp(\000)5588 6377
y Fq(;)g Fu(0\))p Fq(;)g Fu(\(7)5810 6346 y Fp(\000)5866
6377 y Fq(;)g Fs(\000)p Fu(780)i Fs(\000)i Fu(1351)p
Fq(\034)9 b Fu(\))p Fq(;)5611 6476 y Fu(\(10)5727 6446
y Fp(\000)5783 6476 y Fq(;)14 b Fs(\000)p Fu(780)i Fs(\000)i
Fu(1351)p Fq(\034)9 b Fu(\))p Fq(;)14 b Fu(\(11)6508
6446 y Fp(\000)6562 6476 y Fq(;)g Fu(0\))p Fq(;)5611
6576 y Fu(\(2)5685 6546 y Fp(\000)5741 6576 y Fq(;)g
Fs(\000)p Fu(571)i Fs(\000)j Fu(989)p Fq(\034)9 b Fu(\))p
Fq(;)14 b Fu(\(3)6383 6546 y Fp(\000)6438 6576 y Fq(;)g
Fs(\000)p Fu(571)i Fs(\000)i Fu(989)p Fq(\034)9 b Fu(\)])p
7243 6606 V 7327 6177 a(\(13623482+)7494 6277 y(23596563)p
Fq(\034)g Fu(\))p Fq(=)p Fu(6)7327 6377 y(\(5757961+)7494
6476 y(9973081)p Fq(\034)g Fu(\))p Fq(=)p Fu(2)p 8151
6606 V 2002 6609 6151 4 v 1947 5458 a
 currentpoint currentpoint translate 1 0.86777 div 1 0.90746 div scale
neg exch neg exch translate
 1947 5458 a 1947
5257 a
 currentpoint grestore moveto
 1947 5257 a 1905 5506 a Fu(38)p eop
%%Page: 39 39
39 38 bop 1947 5257 a
 gsave currentpoint currentpoint translate 90 neg rotate neg exch neg
exch translate
 1947 5257 a 4357 3701 a FB(T)p
Fw(ABLE)33 b FB(VI)g(\(a\))3952 3825 y Fw(EX)n(CEPTIONAL)25
b(PERIODIC)g(DOMAINS)p 2271 4020 4752 4 v 2269 4119 4
100 v 2334 4089 a Fq(p=q)p 2518 4119 V 149 w(j)p 2726
4119 V 146 w Fu(#)p Fq(V)p 2975 4119 V 168 w(t)3099 4101
y Fr(j)p 3224 4119 V 3350 4089 a Fu(domain)j(\005)3708
4101 y Fr(j)p 6311 4119 V 6437 4089 a Fu(area)p 7021
4119 V 2271 4123 4752 4 v 2271 4139 V 2269 4438 4 299
v 2333 4309 a(1)p Fq(=)p Fu(5)p 2518 4438 V 2603 4209
a(0)2603 4309 y(1)2603 4408 y(2)p 2726 4438 V 2831 4209
a(5)2831 4309 y(5)2831 4408 y(5)p 2975 4438 V 3081 4209
a(1)3081 4309 y(1)3081 4408 y(1)p 3224 4438 V 3309 4209
a([\(0)3406 4179 y Fp(\000)3462 4209 y Fq(;)14 b Fu(0\))p
Fq(;)g Fu(\(2)3684 4179 y Fp(\000)3739 4209 y Fq(;)g
Fs(\000)p Fq(\034)9 b Fu(\))p Fq(;)14 b Fu(\(4)4029 4179
y Fp(\000)4085 4209 y Fq(;)g Fs(\000)p Fq(\034)9 b Fu(\))p
Fq(;)14 b Fu(\(1)4375 4179 y Fp(\000)4432 4209 y Fq(;)g
Fu(0\))p Fq(;)g Fu(\(3)4654 4179 y Fp(\000)4709 4209
y Fq(;)g Fu(1\)])3309 4309 y([\(1)3406 4279 y Fo(+)3461
4309 y Fq(;)g(\034)9 b Fu(\))p Fq(;)14 b Fu(\(4)3686
4279 y Fo(+)3741 4309 y Fq(;)g Fs(\000)p Fq(\034)9 b
Fu(\))p Fq(;)14 b Fu(\(2)4031 4279 y Fo(+)4087 4309 y
Fq(;)g Fs(\000)p Fq(\034)9 b Fu(\))p Fq(;)14 b Fu(\(0)4377
4279 y Fo(+)4432 4309 y Fq(;)g(\034)9 b Fu(\))p Fq(;)14
b Fu(\(3)4657 4279 y Fo(+)4713 4309 y Fq(;)g Fu(2)k(+)g
Fq(\034)9 b Fu(\)])3309 4408 y([\(0)3406 4378 y Fo(+)3461
4408 y Fq(;)14 b(\034)9 b Fu(\))p Fq(;)14 b Fu(\(2)3686
4378 y Fo(+)3741 4408 y Fq(;)g Fs(\000)p Fu(2)p Fq(\034)9
b Fu(\))p Fq(;)14 b Fu(\(4)4073 4378 y Fo(+)4128 4408
y Fq(;)g Fs(\000)p Fu(2)p Fq(\034)9 b Fu(\))p Fq(;)14
b Fu(\(1)4460 4378 y Fo(+)4515 4408 y Fq(;)g(\034)9 b
Fu(\))p Fq(;)14 b Fu(\(3)4740 4378 y Fo(+)4796 4408 y
Fq(;)g Fu(3)k(+)g Fq(\034)9 b Fu(\)])p 6311 4438 V 6396
4209 a(\(3)p Fq(\034)28 b Fs(\000)18 b Fu(4\))p Fq(=)p
Fu(2)6396 4309 y(\(2)p Fq(\034)28 b Fs(\000)18 b Fu(1\))p
Fq(=)p Fu(2)6396 4408 y(\(7)p Fq(\034)28 b Fs(\000)18
b Fu(11\))p Fq(=)p Fu(2)p 7021 4438 V 2271 4441 4752
4 v 2269 4542 4 101 v 2333 4512 a(2)p Fq(=)p Fu(5)p 2518
4542 V 2603 4511 a(0)p 2726 4542 V 186 w(5)p 2975 4542
V 208 w(1)p 3224 4542 V 186 w([\(0)3406 4481 y Fp(\000)3462
4511 y Fq(;)c(\034)9 b Fu(\))p Fq(;)14 b Fu(\(1)3687
4481 y Fp(\000)3743 4511 y Fq(;)g(\034)9 b Fu(\))p Fq(;)14
b Fu(\(2)3968 4481 y Fp(\000)4025 4511 y Fq(;)g Fu(0\))p
Fq(;)g Fu(\(3)4247 4481 y Fp(\000)4302 4511 y Fq(;)g
Fu(1)k(+)g Fq(\034)9 b Fu(\))p Fq(;)14 b Fu(\(4)4670
4481 y Fp(\000)4727 4511 y Fq(;)g Fu(0\)])p 6311 4542
V 1535 w(\(7)k(+)g(11)p Fq(\034)9 b Fu(\))p Fq(=)p Fu(2)p
7021 4542 V 2271 4545 4752 4 v 2269 5043 4 499 v 2333
4815 a(1)p Fq(=)p Fu(8)p 2518 5043 V 2603 4615 a(0)2603
4814 y(1)2603 5014 y(2)p 2726 5043 V 2831 4615 a(8)2831
4814 y(8)2831 5014 y(4)p 2975 5043 V 3081 4615 a(1)3081
4814 y(1)3081 5014 y(4)p 3224 5043 V 3309 4615 a([\(0)3406
4585 y Fp(\000)3462 4615 y Fq(;)14 b Fu(0\))p Fq(;)g
Fu(\(3)3684 4585 y Fp(\000)3739 4615 y Fq(;)g Fu(1)k
Fs(\000)g Fq(\034)9 b Fu(\))p Fq(;)14 b Fu(\(6)4107 4585
y Fp(\000)4164 4615 y Fq(;)g Fu(1)k Fs(\000)g Fq(\034)9
b Fu(\))p Fq(;)14 b Fu(\(1)4532 4585 y Fp(\000)4588 4615
y Fq(;)g Fu(0\))p Fq(;)3485 4715 y Fu(\(4)3559 4685 y
Fp(\000)3615 4715 y Fq(;)g Fu(1)k Fs(\000)g Fu(2)p Fq(\034)9
b Fu(\))p Fq(;)14 b Fu(\(7)4025 4685 y Fp(\000)4081 4715
y Fq(;)g Fs(\000)p Fq(\034)9 b Fu(\))p Fq(;)14 b Fu(\(2)4371
4685 y Fp(\000)4427 4715 y Fq(;)g Fs(\000)p Fq(\034)9
b Fu(\))p Fq(;)14 b Fu(\(5)4717 4685 y Fp(\000)4773 4715
y Fq(;)g Fu(1)k Fs(\000)g Fu(2)p Fq(\034)9 b Fu(\)])3309
4814 y([\(0)3406 4784 y Fo(+)3461 4814 y Fq(;)14 b(\034)9
b Fu(\))p Fq(;)14 b Fu(\(3)3686 4784 y Fo(+)3741 4814
y Fq(;)g Fu(2)k Fs(\000)g Fq(\034)9 b Fu(\))p Fq(;)14
b Fu(\(6)4109 4784 y Fo(+)4165 4814 y Fq(;)g Fu(2)k Fs(\000)g
Fq(\034)9 b Fu(\))p Fq(;)14 b Fu(\(1)4533 4784 y Fo(+)4589
4814 y Fq(;)g(\034)9 b Fu(\))p Fq(;)3485 4914 y Fu(\(4)3559
4884 y Fo(+)3614 4914 y Fq(;)14 b Fu(2)k Fs(\000)g Fu(3)p
Fq(\034)9 b Fu(\))p Fq(;)14 b Fu(\(7)4024 4884 y Fo(+)4079
4914 y Fq(;)g Fs(\000)p Fq(\034)9 b Fu(\))p Fq(;)14 b
Fu(\(2)4369 4884 y Fo(+)4424 4914 y Fq(;)g Fs(\000)p
Fq(\034)9 b Fu(\))p Fq(;)14 b Fu(\(5)4714 4884 y Fo(+)4769
4914 y Fq(;)g Fu(2)k Fs(\000)g Fu(3)p Fq(\034)9 b Fu(\)])3309
5014 y([\(0)3406 4983 y Fp(\000)3462 5014 y Fq(;)14 b
Fu(0\))p Fq(;)g Fu(\(5)3684 4983 y Fp(\000)3739 5014
y Fq(;)g Fu(2)k Fs(\000)g Fu(3)p Fq(\034)9 b Fu(\))p
Fq(;)14 b Fu(\(3)4149 4983 y Fo(+)4204 5014 y Fq(;)g
Fu(1)k Fs(\000)g Fq(\034)9 b Fu(\))p Fq(;)14 b Fu(\(4)4572
4983 y Fp(\000)4629 5014 y Fq(;)g Fu(2)k Fs(\000)g Fu(3)p
Fq(\034)9 b Fu(\))p Fq(;)14 b Fu(\(1)5039 4983 y Fp(\000)5095
5014 y Fq(;)g Fu(0\))p Fq(;)g Fu(\(2)5317 4983 y Fo(+)5372
5014 y Fq(;)g Fu(0\)])p 6311 5043 V 6396 4615 a(10)j
Fs(\000)h Fu(14)p Fq(\034)6396 4814 y Fu(20)f Fs(\000)h
Fu(28)p Fq(\034)6396 5014 y Fu(\(17)g Fs(\000)g Fu(24)p
Fq(\034)9 b Fu(\))p Fq(=)p Fu(2)p 7021 5043 V 2271 5047
4752 4 v 2269 5644 4 598 v 2313 5366 a(1)p Fq(=)p Fu(10)p
2518 5644 V 2603 5116 a(0)2603 5316 y(1)2603 5515 y(2)2603
5615 y(3)p 2726 5644 V 2811 5116 a(10)2811 5316 y(10)2831
5515 y(5)2831 5615 y(4)p 2975 5644 V 3081 5116 a(1)3081
5316 y(1)3081 5515 y(2)3081 5615 y(5)p 3224 5644 V 3309
5116 a([\(0)3406 5086 y Fp(\000)3462 5116 y Fq(;)14 b
Fu(0\))p Fq(;)g Fu(\(3)3684 5086 y Fp(\000)3739 5116
y Fq(;)g Fu(1)k Fs(\000)g Fu(2)p Fq(\034)9 b Fu(\))p
Fq(;)14 b Fu(\(6)4149 5086 y Fp(\000)4205 5116 y Fq(;)g
Fu(2)k Fs(\000)g Fu(4)p Fq(\034)9 b Fu(\))p Fq(;)14 b
Fu(\(9)4615 5086 y Fp(\000)4671 5116 y Fq(;)g Fs(\000)p
Fq(\034)9 b Fu(\))p Fq(;)14 b Fu(\(2)4961 5086 y Fp(\000)5018
5116 y Fq(;)g Fs(\000)p Fq(\034)9 b Fu(\))p Fq(;)3485
5216 y Fu(\(5)3559 5186 y Fp(\000)3615 5216 y Fq(;)14
b Fu(2)k Fs(\000)g Fu(4)p Fq(\034)9 b Fu(\))p Fq(;)14
b Fu(\(8)4025 5186 y Fp(\000)4081 5216 y Fq(;)g Fu(1)k
Fs(\000)g Fu(2)p Fq(\034)9 b Fu(\))p Fq(;)14 b Fu(\(1)4491
5186 y Fp(\000)4547 5216 y Fq(;)g Fu(0\))p Fq(;)g Fu(\(4)4769
5186 y Fp(\000)4824 5216 y Fq(;)g Fu(2)k Fs(\000)g Fu(3)p
Fq(\034)9 b Fu(\))p Fq(;)14 b Fu(\(7)5234 5186 y Fp(\000)5290
5216 y Fq(;)g Fu(2)k Fs(\000)g Fu(3)p Fq(\034)9 b Fu(\)])3309
5316 y([\(0)3406 5286 y Fo(+)3461 5316 y Fq(;)14 b(\034)9
b Fu(\))p Fq(;)14 b Fu(\(3)3686 5286 y Fo(+)3741 5316
y Fq(;)g Fu(2)k Fs(\000)g Fu(3)p Fq(\034)9 b Fu(\))p
Fq(;)14 b Fu(\(6)4151 5286 y Fo(+)4207 5316 y Fq(;)g
Fu(4)k Fs(\000)g Fu(7)p Fq(\034)9 b Fu(\))p Fq(;)14 b
Fu(\(9)4617 5286 y Fo(+)4672 5316 y Fq(;)g Fs(\000)p
Fq(\034)9 b Fu(\))p Fq(;)14 b Fu(\(2)4962 5286 y Fo(+)5017
5316 y Fq(;)g Fs(\000)p Fq(\034)9 b Fu(\))p Fq(;)3485
5415 y Fu(\(5)3559 5385 y Fo(+)3614 5415 y Fq(;)14 b
Fu(4)k Fs(\000)g Fu(7)p Fq(\034)9 b Fu(\))p Fq(;)14 b
Fu(\(8)4024 5385 y Fo(+)4079 5415 y Fq(;)g Fu(2)k Fs(\000)g
Fu(3)p Fq(\034)9 b Fu(\))p Fq(;)14 b Fu(\(1)4489 5385
y Fo(+)4544 5415 y Fq(;)g(\034)9 b Fu(\))p Fq(;)14 b
Fu(\(4)4769 5385 y Fo(+)4825 5415 y Fq(;)g Fu(4)k Fs(\000)g
Fu(5)p Fq(\034)9 b Fu(\))p Fq(;)14 b Fu(\(7)5235 5385
y Fo(+)5290 5415 y Fq(;)g Fu(4)k Fs(\000)g Fu(5)p Fq(\034)9
b Fu(\)])3309 5515 y([\(1)3406 5485 y Fo(+)3461 5515
y Fq(;)14 b(\034)9 b Fu(\))p Fq(;)14 b Fu(\(5)3686 5485
y Fo(+)3741 5515 y Fq(;)g Fu(3)k Fs(\000)g Fu(5)p Fq(\034)9
b Fu(\))p Fq(;)14 b Fu(\(9)4151 5485 y Fo(+)4207 5515
y Fq(;)g Fs(\000)p Fq(\034)9 b Fu(\))p Fq(;)14 b Fu(\(3)4497
5485 y Fo(+)4552 5515 y Fq(;)g Fu(1)k Fs(\000)g Fu(2)p
Fq(\034)9 b Fu(\))p Fq(;)14 b Fu(\(7)4962 5485 y Fo(+)5017
5515 y Fq(;)g Fu(3)k Fs(\000)g Fu(4)p Fq(\034)9 b Fu(\)])3309
5615 y([\(5)3406 5584 y Fo(+)3461 5615 y Fq(;)14 b Fu(0\))p
Fq(;)g Fu(\(9)3683 5584 y Fo(+)3737 5615 y Fq(;)g Fs(\000)p
Fu(3)k(+)g(4)p Fq(\034)9 b Fu(\))p Fq(;)14 b Fu(\(0)4212
5584 y Fo(+)4267 5615 y Fq(;)g Fs(\000)p Fu(3)j(+)i(5)p
Fq(\034)9 b Fu(\))p Fq(;)14 b Fu(\(4)4742 5584 y Fo(+)4797
5615 y Fq(;)g(\034)9 b Fu(\)])p 6311 5644 V 6396 5116
a(65)p Fq(\034)27 b Fs(\000)18 b Fu(40)6396 5316 y(170)p
Fq(\034)27 b Fs(\000)18 b Fu(105)6396 5515 y(\(123)f
Fs(\000)h Fu(199)p Fq(\034)9 b Fu(\))p Fq(=)p Fu(2)6396
5615 y(34)17 b Fs(\000)h Fu(55)p Fq(\034)p 7021 5644
V 2271 5648 4752 4 v 2269 6843 4 1196 v 2313 6266 a Fu(1)p
Fq(=)p Fu(12)p 2518 6843 V 2603 5718 a(0)2603 5917 y(1)2603
6116 y(2)2603 6315 y(3)2603 6415 y(4)2603 6614 y(5)2603
6714 y(6)2603 6813 y(7)p 2726 6843 V 2811 5718 a(12)2811
5917 y(12)2811 6116 y(12)2831 6315 y(4)2831 6415 y(8)2831
6614 y(6)2831 6714 y(6)2831 6813 y(6)p 2975 6843 V 3081
5718 a(1)3081 5917 y(1)3081 6116 y(1)3060 6315 y(96)3081
6415 y(6)3081 6614 y(6)3081 6714 y(4)3081 6813 y(4)p
3224 6843 V 3309 5718 a([\(0)3406 5687 y Fp(\000)3462
5718 y Fq(;)c Fu(0\))p Fq(;)g Fu(\(5)3684 5687 y Fp(\000)3739
5718 y Fq(;)g Fu(2)k Fs(\000)g Fu(3)p Fq(\034)9 b Fu(\))p
Fq(;)14 b Fu(\(10)4191 5687 y Fp(\000)4247 5718 y Fq(;)g
Fu(1)k Fs(\000)g Fq(\034)9 b Fu(\))p Fq(;)14 b Fu(\(3)4615
5687 y Fp(\000)4671 5718 y Fq(;)g Fu(1)k Fs(\000)g Fq(\034)9
b Fu(\))p Fq(;)14 b Fu(\(8)5039 5687 y Fp(\000)5096 5718
y Fq(;)g Fu(2)k Fs(\000)g Fu(3)p Fq(\034)9 b Fu(\))p
Fq(;)14 b Fu(\(1)5506 5687 y Fp(\000)5562 5718 y Fq(;)g
Fu(0\))p Fq(;)3485 5817 y Fu(\(6)3559 5787 y Fp(\000)3615
5817 y Fq(;)g Fu(2)k Fs(\000)g Fu(4)p Fq(\034)9 b Fu(\))p
Fq(;)14 b Fu(\(11)4067 5787 y Fp(\000)4122 5817 y Fq(;)g
Fs(\000)p Fq(\034)9 b Fu(\))p Fq(;)14 b Fu(\(4)4412 5787
y Fp(\000)4468 5817 y Fq(;)g Fu(1)k Fs(\000)g Fu(3)p
Fq(\034)9 b Fu(\))p Fq(;)14 b Fu(\(9)4878 5787 y Fp(\000)4935
5817 y Fq(;)g Fu(1)j Fs(\000)h Fu(3)p Fq(\034)9 b Fu(\))p
Fq(;)14 b Fu(\(2)5344 5787 y Fp(\000)5401 5817 y Fq(;)g
Fs(\000)p Fq(\034)9 b Fu(\))p Fq(;)14 b Fu(\(7)5691 5787
y Fp(\000)5747 5817 y Fq(;)g Fu(2)k Fs(\000)g Fu(4)p
Fq(\034)9 b Fu(\)])3309 5917 y([\(0)3406 5887 y Fo(+)3461
5917 y Fq(;)14 b(\034)9 b Fu(\))p Fq(;)14 b Fu(\(5)3686
5887 y Fo(+)3741 5917 y Fq(;)g Fu(4)k Fs(\000)g Fu(5)p
Fq(\034)9 b Fu(\))p Fq(;)14 b Fu(\(10)4193 5887 y Fo(+)4248
5917 y Fq(;)g Fu(2)k Fs(\000)g Fq(\034)9 b Fu(\))p Fq(;)14
b Fu(\(3)4616 5887 y Fo(+)4672 5917 y Fq(;)g Fu(2)k Fs(\000)g
Fq(\034)9 b Fu(\))p Fq(;)14 b Fu(\(8)5040 5887 y Fo(+)5096
5917 y Fq(;)g Fu(4)j Fs(\000)h Fu(5)p Fq(\034)9 b Fu(\))p
Fq(;)14 b Fu(\(1)5505 5887 y Fo(+)5561 5917 y Fq(;)g(\034)9
b Fu(\))p Fq(;)3485 6016 y Fu(\(6)3559 5986 y Fo(+)3614
6016 y Fq(;)14 b Fu(4)k Fs(\000)g Fu(7)p Fq(\034)9 b
Fu(\))p Fq(;)14 b Fu(\(11)4066 5986 y Fo(+)4120 6016
y Fq(;)g Fs(\000)p Fq(\034)9 b Fu(\))p Fq(;)14 b Fu(\(4)4410
5986 y Fo(+)4466 6016 y Fq(;)g Fu(2)k Fs(\000)g Fu(5)p
Fq(\034)9 b Fu(\))p Fq(;)14 b Fu(\(9)4876 5986 y Fo(+)4931
6016 y Fq(;)g Fu(2)k Fs(\000)g Fu(5)p Fq(\034)9 b Fu(\))p
Fq(;)14 b Fu(\(2)5341 5986 y Fo(+)5396 6016 y Fq(;)g
Fs(\000)p Fq(\034)9 b Fu(\))p Fq(;)14 b Fu(\(7)5686 5986
y Fo(+)5741 6016 y Fq(;)g Fu(4)k Fs(\000)g Fu(7)p Fq(\034)9
b Fu(\)])3309 6116 y([\(0)3406 6086 y Fo(+)3461 6116
y Fq(;)14 b(\034)9 b Fu(\))p Fq(;)14 b Fu(\(5)3686 6086
y Fo(+)3741 6116 y Fq(;)g Fu(6)k Fs(\000)g Fu(8)p Fq(\034)9
b Fu(\))p Fq(;)14 b Fu(\(10)4193 6086 y Fo(+)4248 6116
y Fq(;)g Fu(3)k Fs(\000)g Fu(2)p Fq(\034)9 b Fu(\))p
Fq(;)14 b Fu(\(3)4658 6086 y Fo(+)4713 6116 y Fq(;)g
Fu(3)k Fs(\000)g Fu(2)p Fq(\034)9 b Fu(\))p Fq(;)14 b
Fu(\(8)5123 6086 y Fo(+)5179 6116 y Fq(;)g Fu(6)j Fs(\000)h
Fu(8)p Fq(\034)9 b Fu(\))p Fq(;)14 b Fu(\(1)5588 6086
y Fo(+)5644 6116 y Fq(;)g(\034)9 b Fu(\))p Fq(;)3485
6216 y Fu(\(6)3559 6186 y Fo(+)3614 6216 y Fq(;)14 b
Fu(6)k Fs(\000)g Fu(11)p Fq(\034)9 b Fu(\))p Fq(;)14
b Fu(\(11)4108 6186 y Fo(+)4162 6216 y Fq(;)g Fs(\000)p
Fu(2)p Fq(\034)9 b Fu(\))p Fq(;)14 b Fu(\(4)4494 6186
y Fo(+)4549 6216 y Fq(;)g Fu(3)k Fs(\000)g Fu(8)p Fq(\034)9
b Fu(\))p Fq(;)14 b Fu(\(9)4959 6186 y Fo(+)5014 6216
y Fq(;)g Fu(3)k Fs(\000)g Fu(8)p Fq(\034)9 b Fu(\))p
Fq(;)14 b Fu(\(2)5424 6186 y Fo(+)5479 6216 y Fq(;)g
Fs(\000)p Fu(2)p Fq(\034)9 b Fu(\))p Fq(;)14 b Fu(\(7)5811
6186 y Fo(+)5866 6216 y Fq(;)g Fu(6)k Fs(\000)g Fu(11)p
Fq(\034)9 b Fu(\)])3309 6315 y([\(3)3406 6285 y Fp(\000)3462
6315 y Fq(;)14 b Fu(5)k Fs(\000)g Fu(8)p Fq(\034)9 b
Fu(\))p Fq(;)14 b Fu(\(6)3872 6285 y Fo(+)3927 6315 y
Fq(;)g Fu(5)k Fs(\000)g Fu(9)p Fq(\034)9 b Fu(\))p Fq(;)14
b Fu(\(5)4337 6285 y Fo(+)4392 6315 y Fq(;)g Fu(5)k Fs(\000)g
Fu(8)p Fq(\034)9 b Fu(\))p Fq(;)14 b Fu(\(8)4802 6285
y Fp(\000)4858 6315 y Fq(;)g Fu(6)k Fs(\000)g Fu(10)p
Fq(\034)9 b Fu(\)])3309 6415 y([\(0)3406 6385 y Fp(\000)3462
6415 y Fq(;)14 b Fu(0\))p Fq(;)g Fu(\(4)3684 6385 y Fo(+)3738
6415 y Fq(;)g Fu(2)k Fs(\000)g Fu(4)p Fq(\034)9 b Fu(\))p
Fq(;)14 b Fu(\(9)4148 6385 y Fo(+)4203 6415 y Fq(;)g
Fu(2)k Fs(\000)g Fu(4)p Fq(\034)9 b Fu(\))p Fq(;)14 b
Fu(\(1)4613 6385 y Fp(\000)4670 6415 y Fq(;)g Fu(0\))p
Fq(;)3485 6515 y Fu(\(6)3559 6484 y Fp(\000)3615 6515
y Fq(;)g Fu(5)k Fs(\000)g Fu(9)p Fq(\034)9 b Fu(\))p
Fq(;)14 b Fu(\(10)4067 6484 y Fo(+)4121 6515 y Fq(;)g
Fu(1)k Fs(\000)g Fq(\034)9 b Fu(\))p Fq(;)14 b Fu(\(3)4489
6484 y Fo(+)4545 6515 y Fq(;)g Fu(1)k Fs(\000)g Fq(\034)9
b Fu(\))p Fq(;)14 b Fu(\(7)4913 6484 y Fp(\000)4970 6515
y Fq(;)g Fu(5)j Fs(\000)i Fu(9)p Fq(\034)9 b Fu(\)])3309
6614 y([\(0)3406 6584 y Fp(\000)3462 6614 y Fq(;)14 b
Fu(0\))p Fq(;)g Fu(\(2)3684 6584 y Fo(+)3738 6614 y Fq(;)g
Fu(0\))p Fq(;)g Fu(\(1)3960 6584 y Fp(\000)4016 6614
y Fq(;)g Fu(0\))p Fq(;)g Fu(\(6)4238 6584 y Fp(\000)4293
6614 y Fq(;)g Fu(4)k Fs(\000)g Fu(7)p Fq(\034)9 b Fu(\))p
Fq(;)14 b Fu(\(5)4703 6584 y Fo(+)4758 6614 y Fq(;)g
Fu(3)k Fs(\000)g Fu(5)p Fq(\034)9 b Fu(\))p Fq(;)14 b
Fu(\(7)5168 6584 y Fp(\000)5224 6614 y Fq(;)g Fu(4)k
Fs(\000)g Fu(7)p Fq(\034)9 b Fu(\)])3309 6714 y([\(0)3406
6684 y Fp(\000)3462 6714 y Fq(;)14 b Fu(0\))p Fq(;)g
Fu(\(5)3684 6684 y Fp(\000)3739 6714 y Fq(;)g Fu(3)k
Fs(\000)g Fu(5)p Fq(\034)9 b Fu(\))p Fq(;)14 b Fu(\(8)4149
6684 y Fp(\000)4205 6714 y Fq(;)g Fu(3)k Fs(\000)g Fu(5)p
Fq(\034)9 b Fu(\))p Fq(;)14 b Fu(\(1)4615 6684 y Fp(\000)4671
6714 y Fq(;)g Fu(0\))p Fq(;)g Fu(\(4)4893 6684 y Fp(\000)4949
6714 y Fq(;)g Fu(2)k Fs(\000)g Fu(4)p Fq(\034)9 b Fu(\))p
Fq(;)14 b Fu(\(9)5359 6684 y Fp(\000)5415 6714 y Fq(;)g
Fu(2)k Fs(\000)g Fu(4)p Fq(\034)9 b Fu(\)])3309 6813
y([\(2)3406 6783 y Fo(+)3461 6813 y Fq(;)14 b Fs(\000)p
Fq(\034)9 b Fu(\))p Fq(;)14 b Fu(\(7)3751 6783 y Fo(+)3806
6813 y Fq(;)g Fu(5)k Fs(\000)g Fu(9)p Fq(\034)9 b Fu(\))p
Fq(;)14 b Fu(\(10)4258 6783 y Fo(+)4313 6813 y Fq(;)g
Fu(2)k Fs(\000)g Fu(2)p Fq(\034)9 b Fu(\))p Fq(;)14 b
Fu(\(3)4723 6783 y Fo(+)4778 6813 y Fq(;)g Fu(2)k Fs(\000)g
Fu(2)p Fq(\034)9 b Fu(\))p Fq(;)14 b Fu(\(6)5188 6783
y Fo(+)5243 6813 y Fq(;)g Fu(5)k Fs(\000)g Fu(9)p Fq(\034)9
b Fu(\))p Fq(;)14 b Fu(\(11)5695 6783 y Fo(+)5750 6813
y Fq(;)g Fs(\000)p Fq(\034)9 b Fu(\)])p 6311 6843 V 6396
5718 a(52)17 b Fs(\000)h Fu(90)p Fq(\034)6396 5917 y
Fu(156)f Fs(\000)h Fu(270)p Fq(\034)6396 6116 y Fu(388)f
Fs(\000)h Fu(672)p Fq(\034)6396 6315 y Fu(\(362)f Fs(\000)h
Fu(627)p Fq(\034)9 b Fu(\))p Fq(=)p Fu(6)6396 6415 y(\(276)17
b Fs(\000)h Fu(478)p Fq(\034)9 b Fu(\))p Fq(=)p Fu(3)6396
6614 y(\(97)18 b Fs(\000)g Fu(168)p Fq(\034)9 b Fu(\))p
Fq(=)p Fu(3)6396 6714 y(41)17 b Fs(\000)h Fu(71)p Fq(\034)6396
6813 y Fu(\(153)f Fs(\000)h Fu(265)p Fq(\034)9 b Fu(\))p
Fq(=)p Fu(2)p 7021 6843 V 2271 6847 4752 4 v 1947 5257
a
 currentpoint grestore moveto
 1947 5257 a 1905 5506 a Fu(39)p eop
%%Page: 40 40
40 39 bop 1947 5257 a
 gsave currentpoint currentpoint translate 90 neg rotate neg exch neg
exch translate
 1947 5257 a 4354 4106 a FB(T)p
Fw(ABLE)33 b FB(VI)g(\(b\))3952 4231 y Fw(EX)n(CEPTIONAL)25
b(PERIODIC)g(DOMAINS)p 2402 4425 4489 4 v 2400 4525 4
100 v 2465 4495 a Fq(p=q)p 2650 4525 V 150 w(j)p 2857
4525 V 146 w Fu(#)p Fq(V)p 3106 4525 V 229 w(t)3292 4507
y Fr(j)p 3480 4525 V 3606 4495 a Fu(domain)i(\005)3963
4507 y Fr(j)p 5912 4525 V 6038 4495 a Fu(area)p 6890
4525 V 2402 4528 4489 4 v 2402 4545 V 2400 6438 4 1893
v 2444 5512 a(5)p Fq(=)p Fu(12)p 2650 6438 V 2735 4615
a(0)2735 4714 y(1)2735 5113 y(2)2735 5511 y(3)2735 5910
y(4)2735 6308 y(5)p 2857 6438 V 2963 4615 a(4)2942 4714
y(12)2942 5113 y(12)2942 5511 y(12)2942 5910 y(12)2963
6308 y(8)p 3106 6438 V 3253 4615 a(30)3191 4714 y(13001)3233
5113 y(355)3233 5511 y(473)3274 5910 y(7)3274 6308 y(9)p
3480 6438 V 3565 4615 a([\(0)3662 4584 y Fp(\000)3718
4615 y Fq(;)14 b Fu(2)j(+)i(4)p Fq(\034)9 b Fu(\))p Fq(;)14
b Fu(\(1)4128 4584 y Fp(\000)4184 4615 y Fq(;)g Fu(2)k(+)g(4)p
Fq(\034)9 b Fu(\))p Fq(;)14 b Fu(\(6)4594 4584 y Fp(\000)4650
4615 y Fq(;)g Fu(2)k(+)g(3)p Fq(\034)9 b Fu(\))p Fq(;)14
b Fu(\(7)5060 4584 y Fp(\000)5116 4615 y Fq(;)g Fu(2)k(+)g(3)p
Fq(\034)9 b Fu(\)])3565 4714 y([\(0)3662 4684 y Fp(\000)3718
4714 y Fq(;)14 b Fu(155)j(+)h(269)p Fq(\034)9 b Fu(\))p
Fq(;)14 b Fu(\(1)4295 4684 y Fp(\000)4350 4714 y Fq(;)g
Fu(1480)i(+)i(2564)p Fq(\034)9 b Fu(\))p Fq(;)14 b Fu(\(2)5010
4684 y Fp(\000)5065 4714 y Fq(;)g Fu(192)j(+)h(333)p
Fq(\034)9 b Fu(\))p Fq(;)3731 4814 y Fu(\(3)3805 4784
y Fp(\000)3861 4814 y Fq(;)14 b Fu(1098)i(+)i(1902)p
Fq(\034)9 b Fu(\))p Fq(;)14 b Fu(\(4)4521 4784 y Fp(\000)4576
4814 y Fq(;)g Fu(817)j(+)h(1415)p Fq(\034)9 b Fu(\))p
Fq(;)14 b Fu(\(5)5195 4784 y Fp(\000)5249 4814 y Fq(;)g
Fu(398)j(+)h(689)p Fq(\034)9 b Fu(\))p Fq(;)3741 4913
y Fu(\(6)3815 4883 y Fp(\000)3871 4913 y Fq(;)14 b Fu(1405)i(+)i(2433)p
Fq(\034)9 b Fu(\))p Fq(;)14 b Fu(\(7)4531 4883 y Fp(\000)4586
4913 y Fq(;)g Fu(80)j(+)h(138)p Fq(\034)9 b Fu(\))p Fq(;)14
b Fu(\(8)5121 4883 y Fp(\000)5176 4913 y Fq(;)g Fu(1368)j(+)h(2369)p
Fq(\034)9 b Fu(\))p Fq(;)3741 5013 y Fu(\(9)3815 4983
y Fp(\000)3871 5013 y Fq(;)14 b Fu(462)i(+)i(800)p Fq(\034)9
b Fu(\))p Fq(;)14 b Fu(\(10)4489 4983 y Fp(\000)4544
5013 y Fq(;)g Fu(743)j(+)h(1287)p Fq(\034)9 b Fu(\))p
Fq(;)14 b Fu(\(11)5205 4983 y Fp(\000)5259 5013 y Fq(;)g
Fu(1162)j(+)h(2013)p Fq(\034)9 b Fu(\)])3565 5113 y([\(0)3662
5083 y Fp(\000)3718 5113 y Fq(;)14 b Fu(2)j(+)i(4)p Fq(\034)9
b Fu(\))p Fq(;)14 b Fu(\(1)4128 5083 y Fp(\000)4184 5113
y Fq(;)g Fs(\000)p Fu(80)j Fs(\000)h Fu(138)p Fq(\034)9
b Fu(\))p Fq(;)14 b Fu(\(2)4784 5083 y Fp(\000)4839 5113
y Fq(;)g Fs(\000)p Fu(17)j Fs(\000)h Fu(29)p Fq(\034)9
b Fu(\))p Fq(;)3731 5212 y Fu(\(3)3805 5182 y Fp(\000)3861
5212 y Fq(;)14 b Fs(\000)p Fu(44)j Fs(\000)h Fu(76)p
Fq(\034)9 b Fu(\))p Fq(;)14 b Fu(\(4)4419 5182 y Fp(\000)4474
5212 y Fq(;)g Fs(\000)p Fu(60)j Fs(\000)h Fu(104)p Fq(\034)9
b Fu(\))p Fq(;)14 b Fu(\(5)5074 5182 y Fp(\000)5130 5212
y Fq(;)g Fs(\000)p Fu(5)j Fs(\000)h Fu(9)p Fq(\034)9
b Fu(\))p Fq(;)3731 5312 y Fu(\(6)3805 5282 y Fp(\000)3861
5312 y Fq(;)14 b Fs(\000)p Fu(84)j Fs(\000)h Fu(146)p
Fq(\034)9 b Fu(\))p Fq(;)14 b Fu(\(7)4461 5282 y Fp(\000)4516
5312 y Fq(;)g Fs(\000)p Fu(2)j Fs(\000)h Fu(4)p Fq(\034)9
b Fu(\)\(8)4953 5282 y Fp(\000)5010 5312 y Fq(;)14 b
Fs(\000)p Fu(65)j Fs(\000)h Fu(113)p Fq(\034)9 b Fu(\))p
Fq(;)3741 5412 y Fu(\(9)3815 5381 y Fp(\000)3871 5412
y Fq(;)14 b Fs(\000)p Fu(38)j Fs(\000)h Fu(66)p Fq(\034)9
b Fu(\))p Fq(;)14 b Fu(\(10)4471 5381 y Fp(\000)4526
5412 y Fq(;)g Fs(\000)p Fu(22)j Fs(\000)h Fu(38)p Fq(\034)9
b Fu(\))p Fq(;)14 b Fu(\(11)5126 5381 y Fp(\000)5181
5412 y Fq(;)g Fs(\000)p Fu(77)j Fs(\000)h Fu(133)p Fq(\034)9
b Fu(\)])3565 5511 y([\(0)3662 5481 y Fp(\000)3718 5511
y Fq(;)14 b Fu(2)j(+)i(4)p Fq(\034)9 b Fu(\))p Fq(;)14
b Fu(\(1)4128 5481 y Fp(\000)4184 5511 y Fq(;)g Fu(114)j(+)h(198)p
Fq(\034)9 b Fu(\))p Fq(;)14 b Fu(\(2)4761 5481 y Fp(\000)4816
5511 y Fq(;)g Fu(9)k(+)g(16)p Fq(\034)9 b Fu(\))p Fq(;)3731
5611 y Fu(\(3)3805 5581 y Fp(\000)3861 5611 y Fq(;)14
b Fu(79)j(+)h(137)p Fq(\034)9 b Fu(\))p Fq(;)14 b Fu(\(4)4396
5581 y Fp(\000)4451 5611 y Fq(;)g Fu(63)k(+)g(109)p Fq(\034)9
b Fu(\))p Fq(;)14 b Fu(\(5)4987 5581 y Fp(\000)5042 5611
y Fq(;)g Fu(21)j(+)h(36)p Fq(\034)9 b Fu(\))p Fq(;)3731
5710 y Fu(\(6)3805 5680 y Fp(\000)3861 5710 y Fq(;)14
b Fu(110)i(+)j(190)p Fq(\034)9 b Fu(\))p Fq(;)14 b Fu(\(7)4438
5680 y Fp(\000)4493 5710 y Fq(;)g Fs(\000)p Fu(2)j Fs(\000)h
Fu(4)p Fq(\034)9 b Fu(\))p Fq(;)14 b Fu(\(8)4967 5680
y Fp(\000)5023 5710 y Fq(;)g Fu(103)j(+)h(178)p Fq(\034)9
b Fu(\))p Fq(;)3741 5810 y Fu(\(9)3815 5780 y Fp(\000)3871
5810 y Fq(;)14 b Fu(33)j(+)h(57)p Fq(\034)9 b Fu(\))p
Fq(;)14 b Fu(\(10)4406 5780 y Fp(\000)4461 5810 y Fq(;)g
Fu(49)k(+)g(85)p Fq(\034)9 b Fu(\))p Fq(;)14 b Fu(\(11)4997
5780 y Fp(\000)5052 5810 y Fq(;)g Fu(91)j(+)h(158)p Fq(\034)9
b Fu(\)])3565 5910 y([\(0)3662 5880 y Fp(\000)3718 5910
y Fq(;)14 b Fs(\000)p Fu(4)j Fs(\000)h Fu(6)p Fq(\034)9
b Fu(\))p Fq(;)14 b Fu(\(1)4192 5880 y Fp(\000)4248 5910
y Fq(;)g Fs(\000)p Fu(4)k Fs(\000)g Fu(6)p Fq(\034)9
b Fu(\))p Fq(;)14 b Fu(\(2)4723 5880 y Fp(\000)4779 5910
y Fq(;)g Fs(\000)p Fu(1)j Fs(\000)h Fq(\034)9 b Fu(\))p
Fq(;)3731 6009 y Fu(\(3)3805 5979 y Fp(\000)3861 6009
y Fq(;)14 b Fs(\000)p Fu(6)j Fs(\000)h Fu(10)p Fq(\034)9
b Fu(\))p Fq(;)14 b Fu(\(4)4377 5979 y Fp(\000)4433 6009
y Fq(;)g Fu(0\))p Fq(;)g Fu(\(5)4655 5979 y Fp(\000)4710
6009 y Fq(;)g Fs(\000)p Fu(5)k Fs(\000)g Fu(9)p Fq(\034)9
b Fu(\))p Fq(;)3731 6109 y Fu(\(6)3805 6079 y Fp(\000)3861
6109 y Fq(;)14 b Fs(\000)p Fu(2)j Fs(\000)h Fu(4\))p
Fq(;)c Fu(\(7)4290 6079 y Fp(\000)4346 6109 y Fq(;)g
Fs(\000)p Fu(2)j Fs(\000)h Fu(4)p Fq(\034)9 b Fu(\))p
Fq(;)14 b Fu(\(8)4820 6079 y Fp(\000)4876 6109 y Fq(;)g
Fs(\000)p Fu(5)k Fs(\000)g Fu(9)p Fq(\034)9 b Fu(\))p
Fq(;)3741 6209 y Fu(\(9)3815 6178 y Fp(\000)3871 6209
y Fq(;)14 b Fu(0\))p Fq(;)g Fu(\(10)4135 6178 y Fp(\000)4190
6209 y Fq(;)g Fs(\000)p Fu(6)j Fs(\000)h Fu(10)p Fq(\034)9
b Fu(\))p Fq(;)14 b Fu(\(11)4748 6178 y Fp(\000)4803
6209 y Fq(;)g Fs(\000)p Fu(1)k Fs(\000)g Fq(\034)9 b
Fu(\)])3565 6308 y([\(1)3662 6278 y Fp(\000)3718 6308
y Fq(;)14 b(\034)9 b Fu(\))p Fq(;)14 b Fu(\(2)3943 6278
y Fp(\000)3999 6308 y Fq(;)g Fs(\000)p Fu(3)k Fs(\000)g
Fu(4)p Fq(\034)9 b Fu(\))p Fq(;)14 b Fu(\(4)4474 6278
y Fp(\000)4530 6308 y Fq(;)g Fs(\000)p Fu(1)j Fs(\000)h
Fq(\034)9 b Fu(\))p Fq(;)14 b Fu(\(5)4962 6278 y Fp(\000)5019
6308 y Fq(;)g Fs(\000)p Fu(3)k Fs(\000)g Fu(5)p Fq(\034)9
b Fu(\))p Fq(;)3741 6408 y Fu(\(7)3815 6378 y Fp(\000)3871
6408 y Fq(;)14 b Fs(\000)p Fu(3)j Fs(\000)h Fu(6)p Fq(\034)9
b Fu(\))p Fq(;)14 b Fu(\(8)4345 6378 y Fp(\000)4401 6408
y Fq(;)g Fs(\000)p Fq(\034)9 b Fu(\))p Fq(;)14 b Fu(\(10)4733
6378 y Fp(\000)4789 6408 y Fq(;)g Fs(\000)p Fu(2)j Fs(\000)h
Fu(4)p Fq(\034)9 b Fu(\))p Fq(;)14 b Fu(\(11)5305 6378
y Fp(\000)5361 6408 y Fq(;)g Fu(0\)])p 5912 6438 V 5997
4615 a(\(97)k(+)g(168)p Fq(\034)9 b Fu(\))p Fq(=)p Fu(3)5997
4714 y(27246964)14 b(+)19 b(47193126)p Fq(\034)5997 5113
y Fu(75268)d(+)i(130368)p Fq(\034)5997 5511 y Fu(140452)d(+)j(243270)p
Fq(\034)5997 5910 y Fu(388)f(+)h(672)p Fq(\034)5997 6308
y Fu(\(82)g(+)g(142)p Fq(\034)9 b Fu(\))p Fq(=)p Fu(3)p
6890 6438 V 2402 6441 4489 4 v 1947 5257 a
 currentpoint grestore moveto
 1947 5257
a 1905 5506 a Fu(40)p eop
%%Page: 41 41
41 40 bop 1947 5257 a
 gsave currentpoint currentpoint translate 90 neg rotate neg exch neg
exch translate
 1947 5257 a 4338 4494 a FB(T)p
Fw(ABLE)33 b FB(VI)s(I)g(\(a\))3905 4619 y Fw(EXAMPLE)26
b(I:)f(GENERA)-6 b(TING)25 b(P)-6 b(AR)g(TITION)3999
4718 y Fu(\012)23 b(=)f([)q(\(0)4267 4688 y Fp(\000)4322
4718 y Fq(;)14 b(\034)9 b Fu(\))p Fq(;)14 b Fu(\(1)4547
4688 y Fp(\000)4604 4718 y Fq(;)g(\034)9 b Fu(\))p Fq(;)14
b Fu(\(0)4829 4688 y Fo(+)4885 4718 y Fq(;)g Fu(0\))p
Fq(;)g Fu(\(1)5107 4688 y Fo(+)5161 4718 y Fq(;)g Fu(0\)])p
3233 4913 2828 4 v 3231 5034 4 122 v 3318 4999 a Fq(j)p
3439 5034 V 130 w Fu(#)p Fq(V)p 3658 5034 V 185 w Fu(domain)28
b(\012)4140 5011 y Fr(j)p 5219 5034 V 5263 4999 a Fq(t)5293
4956 y Fo(\()p Fr(n)p Fo(\))5293 5023 y Fr(j)p 5429 5034
V 5474 4984 a Fu(~)5473 4999 y Fq(t)5503 4956 y Fo(\()p
Fr(n)p Fo(\))5503 5023 y Fr(j)p 5640 5034 V 5782 4999
a Fq(\016)5822 4956 y Fo(\()p Fr(n)p Fo(\))5819 5023
y Fr(j)p 6059 5034 V 3233 5037 2828 4 v 3233 5054 V 3231
6050 4 997 v 3316 5123 a Fu(0)3316 5223 y(1)3316 5323
y(2)3316 5422 y(3)3316 5522 y(4)3316 5622 y(5)3316 5721
y(6)3316 5821 y(7)3316 5920 y(8)3316 6020 y(9)p 3439
6050 V 3530 5123 a(3)3530 5223 y(5)3530 5323 y(3)3530
5422 y(2)3530 5522 y(2)3530 5622 y(2)3530 5721 y(2)3530
5821 y(2)3530 5920 y(1)3530 6020 y(1)p 3658 6050 V 3743
5123 a([\(1)3840 5093 y Fp(\000)3896 5123 y Fq(;)14 b(\034)9
b Fu(\))p Fq(;)14 b Fu(\(5)4121 5093 y Fp(\000)4177 5123
y Fq(;)g Fu(0\))p Fq(;)g Fu(\(7)4399 5093 y Fp(\000)4455
5123 y Fq(;)g Fs(\000)p Fq(\034)9 b Fu(\)])3743 5223
y([\(0)3840 5193 y Fp(\000)3896 5223 y Fq(;)14 b(\034)9
b Fu(\))p Fq(;)14 b Fu(\(1)4121 5193 y Fp(\000)4177 5223
y Fq(;)g(\034)9 b Fu(\))p Fq(:)p Fu(\(2)4388 5193 y Fp(\000)4445
5223 y Fq(;)14 b(\034)9 b Fu(\))p Fq(;)14 b Fu(\(5)4670
5193 y Fp(\000)4727 5223 y Fq(;)g Fu(0\))p Fq(;)g Fu(\(7)4949
5193 y Fp(\000)5004 5223 y Fq(;)g Fu(0\)])3743 5323 y([\(0)3840
5293 y Fp(\000)3896 5323 y Fq(;)g(\034)9 b Fu(\))p Fq(;)14
b Fu(\(2)4121 5293 y Fp(\000)4177 5323 y Fq(;)g Fu(0\))p
Fq(;)g Fu(\(6)4399 5293 y Fp(\000)4455 5323 y Fq(;)g
Fu(0\)])3743 5422 y([\(0)3840 5392 y Fp(\000)3896 5422
y Fq(;)g(\034)9 b Fu(\))p Fq(;)14 b Fu(\(2)4121 5392
y Fo(+)4177 5422 y Fq(;)g Fu(0\))p Fq(;)g Fu(\(5)4399
5392 y Fp(\000)4454 5422 y Fq(;)g Fu(0\))p Fq(;)g Fu(\(7)4676
5392 y Fo(+)4730 5422 y Fq(;)g Fu(0\)])3743 5522 y([0)3808
5492 y Fp(\000)3864 5522 y Fq(;)g Fs(\000)p Fu(1\))p
Fq(;)g Fu(\(2)4151 5492 y Fo(+)4205 5522 y Fq(;)g(\034)9
b Fu(\))p Fq(;)14 b Fu(\(5)4430 5492 y Fp(\000)4486 5522
y Fq(;)g Fu(0\))p Fq(;)g Fu(\(7)4708 5492 y Fo(+)4763
5522 y Fq(;)g Fs(\000)p Fq(\034)9 b Fu(\)])3743 5622
y([\(0)3840 5591 y Fp(\000)3896 5622 y Fq(;)14 b(\034)9
b Fu(\))p Fq(;)14 b Fu(\(1)4121 5591 y Fo(+)4177 5622
y Fq(;)g Fu(0\))p Fq(;)g Fu(\(5)4399 5591 y Fp(\000)4454
5622 y Fq(;)g Fu(0\))p Fq(;)g Fu(\(6)4676 5591 y Fo(+)4730
5622 y Fq(;)g Fu(0\)])3743 5721 y([\(1)3840 5691 y Fp(\000)3896
5721 y Fq(;)g Fs(\000)p Fu(1\))p Fq(;)g Fu(\(0)4183 5691
y Fo(+)4237 5721 y Fq(;)g Fu(0\))p Fq(;)g Fu(\(6)4459
5691 y Fp(\000)4514 5721 y Fq(;)g Fu(0\))p Fq(;)g Fu(\(5)4736
5691 y Fo(+)4791 5721 y Fq(;)g Fu(0\)])3743 5821 y([\(1)3840
5791 y Fp(\000)3896 5821 y Fq(;)g(\034)9 b Fu(\))p Fq(;)14
b Fu(\(0)4121 5791 y Fo(+)4177 5821 y Fq(;)g Fu(0\))p
Fq(;)g Fu(\(6)4399 5791 y Fp(\000)4454 5821 y Fq(;)g
Fu(1\))p Fq(;)g Fu(\(5)4676 5791 y Fo(+)4730 5821 y Fq(;)g
Fu(0\)])3743 5920 y([\(0)3840 5890 y Fo(+)3895 5920 y
Fq(;)g Fu(0\))p Fq(;)g Fu(\(2)4117 5890 y Fo(+)4171 5920
y Fq(;)g Fu(0\))p Fq(;)g Fu(\(5)4393 5890 y Fo(+)4448
5920 y Fq(;)g Fu(0\))p Fq(;)g Fu(\(7)4670 5890 y Fo(+)4724
5920 y Fq(;)g Fu(0\)])3743 6020 y([\(0)3840 5990 y Fo(+)3895
6020 y Fq(;)g Fu(0\))p Fq(;)g Fu(\(2)4117 5990 y Fo(+)4171
6020 y Fq(;)g(\034)9 b Fu(\))p Fq(;)14 b Fu(\(5)4396
5990 y Fo(+)4452 6020 y Fq(;)g Fu(0\))p Fq(;)g Fu(\(7)4674
5990 y Fo(+)4729 6020 y Fq(;)g Fs(\000)p Fq(\034)9 b
Fu(\)])p 5219 6050 V 5305 5123 a(1)5305 5223 y(1)5305
5323 y(1)5305 5422 y(1)5305 5522 y(1)5305 5622 y(1)5305
5721 y(1)5305 5821 y(1)5305 5920 y(1)5305 6020 y(1)p
5429 6050 V 5515 5123 a(1)5515 5223 y(1)5515 5323 y(1)5515
5422 y(1)5515 5522 y(1)5515 5622 y(1)5515 5721 y(1)5515
5821 y(1)5515 5920 y(1)5515 6020 y(1)p 5640 6050 V 5724
5123 a(\(0)p Fq(;)14 b Fs(\000)p Fq(\034)9 b Fu(\))5759
5223 y(\(0)p Fq(;)14 b Fu(0\))5756 5323 y(\(0)p Fq(;)g(\034)9
b Fu(\))5759 5422 y(\(0)p Fq(;)14 b Fu(0\))5724 5522
y(\(0)p Fq(;)g Fs(\000)p Fq(\034)9 b Fu(\))5756 5622
y(\(0)p Fq(;)14 b(\034)9 b Fu(\))5759 5721 y(\(0)p Fq(;)14
b Fu(0\))5724 5821 y(\(0)p Fq(;)g Fs(\000)p Fq(\034)9
b Fu(\))5759 5920 y(\(0)p Fq(;)14 b Fu(0\))5724 6020
y(\(0)p Fq(;)g Fs(\000)p Fq(\034)9 b Fu(\))p 6059 6050
V 3233 6053 2828 4 v 1947 5257 a
 currentpoint grestore moveto
 1947 5257 a 1905 5506
a Fu(41)p eop
%%Page: 42 42
42 41 bop 1947 5257 a
 gsave currentpoint currentpoint translate 90 neg rotate neg exch neg
exch translate
 1947 5257 a 4335 4343 a FB(T)p
Fw(ABLE)33 b FB(VI)s(I)g(\(b\))4006 4468 y Fw(EXAMPLE)26
b(I:)g(PERIODIC)f(DOMAINS)p 2732 4662 3831 4 v 2730 4783
4 122 v 2849 4749 a Fq(n)p 3015 4783 V 203 w(j)p 3225
4783 V 215 w Fu(domain)i(\005)3708 4706 y Fo(\()p Fr(n)p
Fo(\))3708 4772 y Fr(j)p 5227 4783 V 5436 4749 a Fu(return)g(time)p
6057 4783 V 249 w(return)h(path)p 6560 4783 V 2732 4786
3831 4 v 2732 4803 V 2730 5600 4 798 v 2821 5222 a Fs(\000)p
Fu(1)p 3015 5600 V 3101 4873 a(0)3101 4972 y(1)3101 5072
y(2)3101 5172 y(3)3100 5271 y Fq(a)3104 5371 y(b)3104
5471 y(c)3100 5570 y(d)p 3225 5600 V 3310 4873 a Fu([\(0)3407
4843 y Fp(\000)3463 4873 y Fq(;)14 b(\034)9 b Fu(\))p
Fq(;)14 b Fu(\(2)3688 4843 y Fp(\000)3744 4873 y Fq(;)g
Fu(1)k(+)g Fq(\034)9 b Fu(\))p Fq(;)14 b Fu(\(4)4112
4843 y Fp(\000)4169 4873 y Fq(;)g Fu(1\))p Fq(;)g Fu(\(6)4391
4843 y Fp(\000)4446 4873 y Fq(;)g Fu(1\))p Fq(;)g Fu(\(8)4668
4843 y Fp(\000)4724 4873 y Fq(;)g Fu(1)j(+)h Fq(\034)9
b Fu(\)])3310 4972 y([\(0)3407 4942 y Fo(+)3462 4972
y Fq(;)14 b Fu(0\))p Fq(;)g Fu(\(1)3684 4942 y Fo(+)3738
4972 y Fq(;)g Fu(0\))p Fq(;)g Fu(\(5)3960 4942 y Fo(+)4015
4972 y Fq(;)g Fu(0\))p Fq(;)g Fu(\(6)4237 4942 y Fo(+)4291
4972 y Fq(;)g Fu(0\)])3310 5072 y([\(0)3407 5042 y Fo(+)3462
5072 y Fq(;)g Fu(0\))p Fq(;)g Fu(\(1)3684 5042 y Fp(\000)3739
5072 y Fq(;)g Fs(\000)p Fu(1\))p Fq(;)g Fu(\(5)4026 5042
y Fo(+)4080 5072 y Fq(;)g Fu(0\))p Fq(;)g Fu(\(6)4302
5042 y Fp(\000)4358 5072 y Fq(;)g Fs(\000)p Fu(1)j Fs(\000)h
Fq(\034)9 b Fu(\)])3310 5172 y([\(0)3407 5142 y Fo(+)3462
5172 y Fq(;)14 b Fu(0\))p Fq(;)g Fu(\(1)3684 5142 y Fo(+)3738
5172 y Fq(;)g Fu(1)k(+)g Fq(\034)9 b Fu(\))p Fq(;)14
b Fu(\(5)4106 5142 y Fo(+)4162 5172 y Fq(;)g Fu(0\))p
Fq(;)g Fu(\(6)4384 5142 y Fo(+)4438 5172 y Fq(;)g Fs(\000)p
Fu(1)k Fs(\000)g Fq(\034)9 b Fu(\)])3310 5271 y([\(0)3407
5241 y Fo(+)3462 5271 y Fq(;)14 b Fu(0\))p Fq(;)g Fu(\(1)3684
5241 y Fp(\000)3739 5271 y Fq(;)g Fu(1)k(+)g Fq(\034)9
b Fu(\))p Fq(;)14 b Fu(\(5)4107 5241 y Fo(+)4163 5271
y Fq(;)g Fu(0\))p Fq(;)g Fu(\(6)4385 5241 y Fp(\000)4440
5271 y Fq(;)g Fs(\000)p Fu(2)k Fs(\000)g Fq(\034)9 b
Fu(\)])3310 5371 y([\(0)3407 5341 y Fo(+)3462 5371 y
Fq(;)14 b Fu(0\))p Fq(;)g Fu(\(1)3684 5341 y Fo(+)3738
5371 y Fq(;)g Fu(2)k(+)g Fq(\034)9 b Fu(\))p Fq(;)14
b Fu(\(5)4106 5341 y Fo(+)4162 5371 y Fq(;)g Fu(0\))p
Fq(;)g Fu(\(6)4384 5341 y Fo(+)4438 5371 y Fq(;)g Fs(\000)p
Fu(2)k Fs(\000)g Fq(\034)9 b Fu(\)])3310 5471 y([\(0)3407
5440 y Fo(+)3462 5471 y Fq(;)14 b Fu(0\))p Fq(;)g Fu(\(1)3684
5440 y Fp(\000)3739 5471 y Fq(;)g Fu(2)k(+)g Fq(\034)9
b Fu(\))p Fq(;)14 b Fu(\(5)4107 5440 y Fo(+)4163 5471
y Fq(;)g Fu(0\))p Fq(;)g Fu(\(6)4385 5440 y Fp(\000)4440
5471 y Fq(;)g Fs(\000)p Fu(3)k Fs(\000)g Fu(2)p Fq(\034)9
b Fu(\)])3310 5570 y([\(0)3407 5540 y Fo(+)3462 5570
y Fq(;)14 b Fu(0\))p Fq(;)g Fu(\(1)3684 5540 y Fo(+)3738
5570 y Fq(;)g Fu(3)k(+)g(2)p Fq(\034)9 b Fu(\))p Fq(;)14
b Fu(\(5)4148 5540 y Fo(+)4203 5570 y Fq(;)g Fu(0\))p
Fq(;)g Fu(\(6)4425 5540 y Fo(+)4480 5570 y Fq(;)g Fs(\000)p
Fu(3)j Fs(\000)h Fu(2)p Fq(\034)9 b Fu(\)])p 5227 5600
V 5623 4873 a(4)5623 4972 y(1)5623 5072 y(5)5623 5172
y(7)5602 5271 y(25)5602 5371 y(13)5602 5471 y(25)5602
5570 y(17)p 6057 5600 V 6560 5600 V 2732 5603 3831 4
v 2730 6201 4 598 v 2773 5923 a Fq(n)23 b Fs(\025)g Fu(0)p
3015 6201 V 3101 5673 a(0)3101 5773 y(1)3101 5872 y(2)3101
5972 y(3)3101 6072 y(4)3101 6171 y(5)p 3225 6201 V 3310
5673 a([\(0)3407 5643 y Fp(\000)3463 5673 y Fq(;)14 b(\013)3553
5685 y Fo(11)3623 5673 y Fu(\))p Fq(;)g Fu(\(2)3766 5643
y Fp(\000)3822 5673 y Fq(;)g(\013)3912 5685 y Fo(42)3982
5673 y Fu(\))p Fq(;)g Fu(\(4)4125 5643 y Fp(\000)4181
5673 y Fq(;)g(\013)4271 5685 y Fo(10)4342 5673 y Fu(\))p
Fq(;)g Fu(\(6)4485 5643 y Fp(\000)4541 5673 y Fq(;)g(\013)4631
5685 y Fo(32)4701 5673 y Fu(\))p Fq(;)g Fu(\(8)4844 5643
y Fp(\000)4900 5673 y Fq(;)g(\013)4990 5685 y Fo(22)5060
5673 y Fu(\)])3310 5773 y([\(1)3407 5743 y Fp(\000)3463
5773 y Fq(;)g Fu(0\))p Fq(;)g Fu(\(3)3685 5743 y Fp(\000)3740
5773 y Fq(;)g Fs(\000)p Fq(\013)3895 5785 y Fo(11)3965
5773 y Fu(\))p Fq(;)g Fu(\(5)4108 5743 y Fp(\000)4164
5773 y Fq(;)g Fu(0\))p Fq(;)g Fu(\(7)4386 5743 y Fp(\000)4441
5773 y Fq(;)g Fs(\000)p Fq(\013)4596 5785 y Fo(10)4666
5773 y Fu(\))p Fq(;)g Fu(\(9)4809 5743 y Fp(\000)4865
5773 y Fq(;)g Fs(\000)p Fq(\013)5020 5785 y Fo(10)5090
5773 y Fu(\)])3310 5872 y([\(2)3407 5842 y Fo(+)3462
5872 y Fq(;)g(\013)3552 5884 y Fo(21)3622 5872 y Fu(\))p
Fq(;)g Fu(\(1)3765 5842 y Fp(\000)3821 5872 y Fq(;)g(\013)3911
5884 y Fo(53)3981 5872 y Fu(\))p Fq(;)g Fu(\(7)4124 5842
y Fo(+)4179 5872 y Fq(;)g Fs(\000)p Fq(\013)4334 5884
y Fo(21)4404 5872 y Fu(\))p Fq(;)g Fu(\(6)4547 5842 y
Fp(\000)4603 5872 y Fq(;)g(\013)4693 5884 y Fo(32)4764
5872 y Fu(\)])3310 5972 y([\(2)3407 5942 y Fo(+)3462
5972 y Fq(;)g(\013)3552 5984 y Fo(21)3622 5972 y Fu(\))p
Fq(;)g Fu(\(1)3765 5942 y Fo(+)3820 5972 y Fq(;)g(\013)3910
5984 y Fo(53)3980 5972 y Fu(\))p Fq(;)g Fu(\(7)4123 5942
y Fo(+)4179 5972 y Fq(;)g Fs(\000)p Fq(\013)4334 5984
y Fo(21)4403 5972 y Fu(\))p Fq(;)g Fu(\(6)4546 5942 y
Fo(+)4602 5972 y Fq(;)g Fs(\000)p Fq(\013)4757 5984 y
Fo(53)4826 5972 y Fu(\)])3310 6072 y([\(2)3407 6041 y
Fo(+)3462 6072 y Fq(;)g(\013)3552 6084 y Fo(21)3622 6072
y Fu(\))p Fq(;)g Fu(\(1)3765 6041 y Fp(\000)3821 6072
y Fq(;)g Fs(\000)p Fq(\013)3976 6084 y Fo(85)4046 6072
y Fu(\))p Fq(;)g Fu(\(7)4189 6041 y Fo(+)4244 6072 y
Fq(;)g Fs(\000)p Fq(\013)4399 6084 y Fo(21)4469 6072
y Fu(\))p Fq(;)g Fu(\(6)4612 6041 y Fp(\000)4668 6072
y Fq(;)g Fs(\000)p Fq(\013)4823 6084 y Fo(53)4893 6072
y Fu(\)])3310 6171 y([\(2)3407 6141 y Fo(+)3462 6171
y Fq(;)g(\013)3552 6183 y Fo(21)3622 6171 y Fu(\))p Fq(;)g
Fu(\(1)3765 6141 y Fo(+)3820 6171 y Fq(;)g Fs(\000)p
Fq(\013)3975 6183 y Fo(85)4045 6171 y Fu(\))p Fq(;)g
Fu(\(7)4188 6141 y Fo(+)4243 6171 y Fq(;)g Fs(\000)p
Fq(\013)4398 6183 y Fo(21)4468 6171 y Fu(\))p Fq(;)g
Fu(\(6)4611 6141 y Fo(+)4666 6171 y Fq(;)g(\013)4756
6183 y Fo(85)4826 6171 y Fu(\)])p 5227 6201 V 5312 5673
a(4)5354 5643 y Fr(n)p Fo(+2)5501 5673 y Fs(\001)k Fu(5)p
Fq(=)p Fu(3)f Fs(\000)h Fu(8)p Fq(=)p Fu(3)5312 5773
y(4)5354 5743 y Fr(n)5417 5773 y Fs(\001)g Fu(10)p Fq(=)p
Fu(3)f(+)h(8)p Fq(=)p Fu(3)5312 5872 y(4)5354 5842 y
Fr(n)p Fo(+2)5501 5872 y Fs(\001)g Fu(10)p Fq(=)p Fu(3)f(+)h(35)p
Fq(=)p Fu(3)5312 5972 y(4)5354 5942 y Fr(n)p Fo(+2)5501
5972 y Fs(\001)g Fu(5)p Fq(=)p Fu(3)f(+)h(19)p Fq(=)p
Fu(3)5312 6072 y(4)5354 6041 y Fr(n)p Fo(+2)5501 6072
y Fs(\001)g Fu(20)p Fq(=)p Fu(3)f Fs(\000)h Fu(5)p Fq(=)p
Fu(3)5312 6171 y(4)5354 6141 y Fr(n)p Fo(+2)5501 6171
y Fs(\001)g Fu(10)p Fq(=)p Fu(3)f(+)h(11)p Fq(=)p Fu(3)p
6057 6201 V 6142 5673 a(04)6142 5773 y(0)6142 5872 y(3020)6142
5972 y(30)6142 6072 y(30404040)6142 6171 y(3040)p 6560
6201 V 2732 6204 3831 4 v 1947 5257 a
 currentpoint grestore moveto
 1947 5257 a 1905
5506 a Fu(42)p eop
%%Page: 43 43
43 42 bop 1947 5257 a
 gsave currentpoint currentpoint translate 90 neg rotate neg exch neg
exch translate
 1947 5257 a 4319 3895 a FB(T)p
Fw(ABLE)33 b FB(VI)s(I)s(I)f(\(a\))3582 4019 y Fw(EXAMPLE)26
b(I)r(I:)g(PRE-SCALING)e(RETURN-MAP)h(P)-6 b(AR)g(TITIONS)3930
4119 y Fu(\012)23 b(=)g([\(0)4198 4089 y Fp(\000)4254
4119 y Fq(;)14 b(\034)9 b Fu(\))p Fq(;)14 b Fu(\(0)4479
4089 y Fo(+)4534 4119 y Fq(;)g Fs(\000)p Fq(\034)9 b
Fu(\))p Fq(;)14 b Fu(\(1)4824 4089 y Fp(\000)4880 4119
y Fq(;)g(\034)9 b Fu(\))p Fq(;)14 b Fu(\(1)5105 4089
y Fo(+)5161 4119 y Fq(;)g Fs(\000)p Fq(\034)9 b Fu(\)])4032
4219 y Fq(D)4103 4188 y Fo(\()p Fp(\000)p Fo(1\))4268
4219 y Fu(=)22 b([\(1)4452 4188 y Fp(\000)4508 4219 y
Fq(;)14 b Fu(0\))p Fq(;)g Fu(\(4)4730 4188 y Fp(\000)4786
4219 y Fq(;)g Fs(\000)p Fu(1\))p Fq(;)g Fu(\(6)5073 4188
y Fp(\000)5128 4219 y Fq(;)g Fu(0\)])p 2702 4413 3890
4 v 2700 4534 4 122 v 2772 4500 a Fq(n)p 2890 4534 V
174 w(j)p 3139 4534 V 235 w Fu(domain)27 b Fq(D)3631
4456 y Fo(\()p Fr(n)p Fo(\))3629 4523 y Fr(j)p 5304 4534
V 5398 4500 a Fq(t)5428 4512 y Fr(j)p 5553 4534 V 5627
4484 a Fu(~)5626 4500 y Fq(t)5656 4512 y Fr(j)p 5760
4534 V 6141 4500 a Fq(\016)6178 4512 y Fr(j)p 6590 4534
V 2702 4537 3890 4 v 2702 4554 V 2700 5749 4 1196 v 2767
5172 a Fu(\012)p 2890 5749 V 2995 4624 a(0)2995 4723
y(1)2995 4823 y(2)2995 4923 y(3)2995 5022 y(4)2995 5122
y(5)2995 5221 y(6)2995 5321 y(7)2995 5421 y(8)2995 5520
y(9)2974 5620 y(10)2974 5720 y(11)p 3139 5749 V 3223
4624 a([\(1)3320 4594 y Fp(\000)3376 4624 y Fq(;)14 b(\034)9
b Fu(\))p Fq(;)14 b Fu(\(4)3601 4594 y Fp(\000)3658 4624
y Fq(;)g(\034)9 b Fu(\))p Fq(;)14 b Fu(\(6)3883 4594
y Fp(\000)3940 4624 y Fq(;)g Fs(\000)p Fq(\034)9 b Fu(\)])3223
4723 y([\(0)3320 4693 y Fp(\000)3376 4723 y Fq(;)14 b(\034)9
b Fu(\))p Fq(;)14 b Fu(\(1)3601 4693 y Fp(\000)3658 4723
y Fq(;)g(\034)9 b Fu(\))p Fq(;)14 b Fu(\(2)3883 4693
y Fp(\000)3940 4723 y Fq(;)g(\034)9 b Fu(\))p Fq(;)14
b Fu(\(4)4165 4693 y Fp(\000)4221 4723 y Fq(;)g(\034)9
b Fu(\))p Fq(;)14 b Fu(\(5)4446 4693 y Fp(\000)4503 4723
y Fq(;)g(\034)9 b Fu(\))p Fq(;)14 b Fu(\(6)4728 4693
y Fp(\000)4784 4723 y Fq(;)g(\034)9 b Fu(\)])3223 4823
y([\(0)3320 4793 y Fp(\000)3376 4823 y Fq(;)14 b(\034)9
b Fu(\))p Fq(;)14 b Fu(\(5)3601 4793 y Fp(\000)3658 4823
y Fq(;)g(\034)9 b Fu(\))p Fq(;)14 b Fu(\(2)3883 4793
y Fp(\000)3940 4823 y Fq(;)g Fs(\000)p Fq(\034)9 b Fu(\)])3223
4923 y([\(2+)p Fq(;)14 b Fs(\000)p Fq(\034)9 b Fu(\))p
Fq(;)14 b Fu(\(0)3675 4892 y Fp(\000)3731 4923 y Fq(;)g(\034)9
b Fu(\))p Fq(;)14 b Fu(\(6+)p Fq(;)g(\034)9 b Fu(\))p
Fq(;)14 b Fu(\(5)4246 4892 y Fp(\000)4303 4923 y Fq(;)g(\034)9
b Fu(\)])3223 5022 y([\(1+)p Fq(;)14 b Fs(\000)p Fq(\034)9
b Fu(\))p Fq(;)14 b Fu(\(0)3675 4992 y Fp(\000)3731 5022
y Fq(;)g Fs(\000)p Fq(\034)9 b Fu(\))p Fq(;)14 b Fu(\(5+)p
Fq(;)g(\034)9 b Fu(\))p Fq(;)14 b Fu(\(4)4311 4992 y
Fp(\000)4367 5022 y Fq(;)g Fs(\000)p Fu(1)k Fs(\000)g
Fq(\034)9 b Fu(\)])3223 5122 y([\(1+)p Fq(;)14 b Fs(\000)p
Fq(\034)9 b Fu(\))p Fq(;)14 b Fu(\(2+)p Fq(;)g Fs(\000)p
Fq(\034)9 b Fu(\))p Fq(;)14 b Fu(\(5+)p Fq(;)g(\034)9
b Fu(\))p Fq(;)14 b Fu(\(6+)p Fq(;)g(\034)9 b Fu(\)])3223
5221 y([\(1+)p Fq(;)14 b Fs(\000)p Fq(\034)9 b Fu(\))p
Fq(;)14 b Fu(\(0)3675 5191 y Fp(\000)3731 5221 y Fq(;)g
Fu(1)k(+)g Fq(\034)9 b Fu(\))p Fq(;)14 b Fu(\(5+)p Fq(;)g(\034)9
b Fu(\))p Fq(;)14 b Fu(\(4)4389 5191 y Fp(\000)4446 5221
y Fq(;)g(\034)9 b Fu(\)])3223 5321 y([\(0+)p Fq(;)14
b Fs(\000)p Fq(\034)9 b Fu(\))p Fq(;)14 b Fu(\(1+)p Fq(;)g
Fs(\000)p Fq(\034)9 b Fu(\))p Fq(;)14 b Fu(\(4+)p Fq(;)g(\034)9
b Fu(\))p Fq(;)14 b Fu(\(5+)p Fq(;)g(\034)9 b Fu(\)])3223
5421 y([\(0+)p Fq(;)14 b Fs(\000)p Fq(\034)9 b Fu(\))p
Fq(;)14 b Fu(\(1)3675 5391 y Fp(\000)3731 5421 y Fq(;)g
Fu(0\))p Fq(;)g Fu(\(4+)p Fq(;)g(\034)9 b Fu(\))p Fq(;)14
b Fu(\(5)4243 5391 y Fp(\000)4299 5421 y Fq(;)g(\034)9
b Fu(\)])3223 5520 y([\(0+)p Fq(;)14 b Fs(\000)p Fq(\034)9
b Fu(\))p Fq(;)14 b Fu(\(1+)p Fq(;)g Fu(0\))p Fq(;)g
Fu(\(4+)p Fq(;)g(\034)9 b Fu(\))p Fq(;)14 b Fu(\(5+)p
Fq(;)g Fu(0\)])3223 5620 y([\(0+)p Fq(;)g Fs(\000)p Fq(\034)9
b Fu(\))p Fq(;)14 b Fu(\(1)3675 5590 y Fp(\000)3731 5620
y Fq(;)g(\034)9 b Fu(\))p Fq(;)14 b Fu(\(4+)p Fq(;)g(\034)9
b Fu(\))p Fq(;)14 b Fu(\(5)4246 5590 y Fp(\000)4303 5620
y Fq(;)g Fu(0\)])3223 5720 y([\(2+)p Fq(;)g(\034)9 b
Fu(\))p Fq(;)14 b Fu(\(1)3610 5689 y Fp(\000)3666 5720
y Fq(;)g(\034)9 b Fu(\))p Fq(;)14 b Fu(\(6+)p Fq(;)g
Fs(\000)p Fq(\034)9 b Fu(\))p Fq(;)14 b Fu(\(5)4246 5689
y Fp(\000)4303 5720 y Fq(;)g Fu(0\)])p 5304 5749 V 5409
4624 a(1)5409 4723 y(1)5409 4823 y(1)5409 4923 y(1)5409
5022 y(1)5409 5122 y(1)5409 5221 y(1)5409 5321 y(1)5409
5421 y(1)5409 5520 y(1)5409 5620 y(1)5409 5720 y(1)p
5553 5749 V 5638 4624 a(1)5638 4723 y(1)5638 4823 y(1)5638
4923 y(1)5638 5022 y(1)5638 5122 y(1)5638 5221 y(1)5638
5321 y(1)5638 5421 y(1)5638 5520 y(1)5638 5620 y(1)5638
5720 y(1)p 5760 5749 V 6029 4624 a(\(0)p Fq(;)g Fs(\000)p
Fu(2)p Fq(\034)9 b Fu(\))6029 4723 y(\(0)p Fq(;)14 b
Fs(\000)p Fu(2)p Fq(\034)9 b Fu(\))6085 4823 y(\(0)p
Fq(;)14 b Fu(0\))6062 4923 y(\(0)p Fq(;)g Fu(2)p Fq(\034)9
b Fu(\))6085 5022 y(\(0)p Fq(;)14 b Fu(0\))6062 5122
y(\(0)p Fq(;)g Fu(2)p Fq(\034)9 b Fu(\))6085 5221 y(\(0)p
Fq(;)14 b Fu(0\))6085 5321 y(\(0)p Fq(;)g Fu(0\))6085
5421 y(\(0)p Fq(;)g Fu(0\))6085 5520 y(\(0)p Fq(;)g Fu(0\))6029
5620 y(\(0)p Fq(;)g Fs(\000)p Fu(2)p Fq(\034)9 b Fu(\))6029
5720 y(\(0)p Fq(;)14 b Fs(\000)p Fu(2)p Fq(\034)9 b Fu(\))p
6590 5749 V 2702 5753 3890 4 v 2700 6649 4 897 v 2744
6222 a Fs(\000)p Fu(1)p 2890 6649 V 2995 5823 a(0)2995
5922 y(1)2995 6022 y(2)2995 6121 y(3)2995 6221 y(4)2995
6321 y(5)2995 6420 y(6)2995 6520 y(7)2995 6620 y(8)p
3139 6649 V 3223 5823 a([\(0)3320 5792 y Fp(\000)3376
5823 y Fq(;)14 b Fu(3)k(+)g(3)p Fq(\034)9 b Fu(\))p Fq(;)14
b Fu(\(3)3786 5792 y Fo(+)3841 5823 y Fq(;)g Fs(\000)p
Fu(1\))p Fq(;)g Fu(\(4)4128 5792 y Fp(\000)4184 5823
y Fq(;)g Fs(\000)p Fu(1\))p Fq(;)g Fu(\(7)4471 5792 y
Fo(+)4525 5823 y Fq(;)g Fu(1\)])3223 5922 y([\(0)3320
5892 y Fo(+)3375 5922 y Fq(;)g Fu(3)k(+)g(3)p Fq(\034)9
b Fu(\))p Fq(;)14 b Fu(\(1)3785 5892 y Fo(+)3841 5922
y Fq(;)g Fs(\000)p Fu(4)j Fs(\000)h Fu(6)p Fq(\034)9
b Fu(\))p Fq(;)14 b Fu(\(4)4315 5892 y Fo(+)4370 5922
y Fq(;)g Fs(\000)p Fu(3)k Fs(\000)g Fu(3)p Fq(\034)9
b Fu(\))p Fq(;)14 b Fu(\(5)4845 5892 y Fo(+)4900 5922
y Fq(;)g Fu(4)k(+)g(6)p Fq(\034)9 b Fu(\)])3223 6022
y([\(1)3320 5992 y Fp(\000)3376 6022 y Fq(;)14 b Fu(0\))p
Fq(;)g Fu(\(3)3598 5992 y Fo(+)3653 6022 y Fq(;)g Fs(\000)p
Fu(1\))p Fq(;)g Fu(\(5)3940 5992 y Fp(\000)3995 6022
y Fq(;)g Fu(4)k(+)g(6)p Fq(\034)9 b Fu(\))p Fq(;)14 b
Fu(\(7)4405 5992 y Fo(+)4460 6022 y Fq(;)g Fu(1\)])3223
6121 y([\(0)3320 6091 y Fp(\000)3376 6121 y Fq(;)g Fs(\000)p
Fu(1)k Fs(\000)g Fu(2)p Fq(\034)9 b Fu(\))p Fq(;)14 b
Fu(\(1)3851 6091 y Fp(\000)3907 6121 y Fq(;)g Fu(0\))p
Fq(;)g Fu(\(3)4129 6091 y Fp(\000)4184 6121 y Fq(;)g
Fs(\000)p Fu(1\))p Fq(;)g Fu(\(4)4471 6091 y Fp(\000)4526
6121 y Fq(;)g Fs(\000)p Fu(1\))p Fq(;)g Fu(\(6)4813 6091
y Fp(\000)4868 6121 y Fq(;)g Fu(0\)])3223 6221 y([\(0)3320
6191 y Fo(+)3375 6221 y Fq(;)g Fs(\000)p Fu(1)k Fs(\000)g
Fu(2)p Fq(\034)9 b Fu(\))p Fq(;)14 b Fu(\(2)3850 6191
y Fo(+)3905 6221 y Fq(;)g Fs(\000)p Fu(3)k Fs(\000)g
Fu(4)p Fq(\034)9 b Fu(\))p Fq(;)14 b Fu(\(4)4380 6191
y Fo(+)4435 6221 y Fq(;)g Fu(1)k(+)g(2)p Fq(\034)9 b
Fu(\))p Fq(;)14 b Fu(\(6)4845 6191 y Fo(+)4900 6221 y
Fq(;)g Fu(3)k(+)g(4)p Fq(\034)9 b Fu(\)])3223 6321 y([\(0)3320
6291 y Fo(+)3375 6321 y Fq(;)14 b Fs(\000)p Fu(1)k Fs(\000)g
Fu(2)p Fq(\034)9 b Fu(\))p Fq(;)14 b Fu(\(1)3850 6291
y Fp(\000)3906 6321 y Fq(;)g Fu(0\))p Fq(;)g Fu(\(4)4128
6291 y Fo(+)4183 6321 y Fq(;)g Fu(1)j(+)h(2)p Fq(\034)9
b Fu(\))p Fq(;)14 b Fu(\(7)4592 6291 y Fp(\000)4649 6321
y Fq(;)g Fs(\000)p Fu(1)j Fs(\000)h Fu(2)p Fq(\034)9
b Fu(\)])3223 6420 y([\(0)3320 6390 y Fo(+)3375 6420
y Fq(;)14 b Fs(\000)p Fu(1)k Fs(\000)g Fu(2)p Fq(\034)9
b Fu(\))p Fq(;)14 b Fu(\(2)3850 6390 y Fp(\000)3906 6420
y Fq(;)g Fs(\000)p Fu(3)j Fs(\000)i Fu(4)p Fq(\034)9
b Fu(\))p Fq(;)14 b Fu(\(4)4381 6390 y Fo(+)4436 6420
y Fq(;)g Fu(1)k(+)g(2)p Fq(\034)9 b Fu(\))p Fq(;)14 b
Fu(\(6)4846 6390 y Fp(\000)4902 6420 y Fq(;)g Fu(0\)])3223
6520 y([\(6)3320 6490 y Fp(\000)3376 6520 y Fq(;)g Fu(0\))p
Fq(;)g Fu(\(4)3598 6490 y Fp(\000)3654 6520 y Fq(;)g
Fu(1)k(+)g(2)p Fq(\034)9 b Fu(\))p Fq(;)14 b Fu(\(1)4064
6490 y Fp(\000)4120 6520 y Fq(;)g Fu(0\)])3223 6620 y([\(4)3320
6589 y Fp(\000)3376 6620 y Fq(;)g Fs(\000)p Fu(1\))p
Fq(;)g Fu(\(1)3663 6589 y Fp(\000)3718 6620 y Fq(;)g
Fu(0\))p Fq(;)g Fu(\(7)3940 6589 y Fp(\000)3996 6620
y Fq(;)g Fu(1\)])p 5304 6649 V 5389 5823 a(13)5389 5922
y(22)5389 6022 y(12)5409 6121 y(2)5389 6221 y(13)5409
6321 y(6)5389 6420 y(13)5409 6520 y(3)5409 6620 y(3)p
5553 6649 V 5638 5823 a(5)5638 5922 y(6)5638 6022 y(4)5638
6121 y(2)5638 6221 y(5)5638 6321 y(6)5638 6420 y(5)5638
6520 y(3)5638 6620 y(3)p 5760 6649 V 5866 5823 a(\()p
Fs(\000)p Fu(3)k Fs(\000)g Fu(6)p Fq(\034)5 b(;)14 b
Fu(4)j(+)h(6)p Fq(\034)9 b Fu(\))5845 5922 y(\(7)18 b(+)g(10)p
Fq(\034)5 b(;)14 b Fs(\000)p Fu(5)j Fs(\000)h Fu(6)p
Fq(\034)9 b Fu(\))5866 6022 y(\(4)18 b(+)g(4)p Fq(\034)5
b(;)14 b Fs(\000)p Fu(4)j Fs(\000)h Fu(6)p Fq(\034)9
b Fu(\))6085 6121 y(\(1)p Fq(;)14 b Fu(1\))6085 6221
y(\(1)p Fq(;)g Fu(0\))5866 6321 y(\()p Fs(\000)p Fu(1)k
Fs(\000)g Fu(2)p Fq(\034)5 b(;)14 b Fu(1)j(+)h(2)p Fq(\034)9
b Fu(\))5866 6420 y(\(5)18 b(+)g(6)p Fq(\034)5 b(;)14
b Fs(\000)p Fu(4)j Fs(\000)h Fu(6)p Fq(\034)9 b Fu(\))5866
6520 y(\(2)18 b(+)g(2)p Fq(\034)5 b(;)14 b Fs(\000)p
Fu(1)j Fs(\000)h Fu(2)p Fq(\034)9 b Fu(\))6085 6620 y(\(2)p
Fq(;)14 b Fu(1\))p 6590 6649 V 2702 6653 3890 4 v 1947
5257 a
 currentpoint grestore moveto
 1947 5257 a 1905 5506 a Fu(43)p eop
%%Page: 44 44
44 43 bop 1947 5257 a
 gsave currentpoint currentpoint translate 90 neg rotate neg exch neg
exch translate
 1947 5257 a 4316 4094 a FB(T)p
Fw(ABLE)33 b FB(VI)s(I)s(I)g(\(b\))3863 4219 y Fw(EXAMPLE)26
b(I)r(I:)f(RETURN-MAP)g(P)-6 b(AR)g(TITIONS)3996 4318
y Fq(D)4067 4288 y Fo(\()p Fr(n)p Fo(\))4187 4318 y Fu(=)23
b([\(1)4372 4288 y Fp(\000)4428 4318 y Fq(;)14 b Fu(0\))p
Fq(;)g Fu(\(4)4650 4288 y Fp(\000)4705 4318 y Fq(;)g
Fs(\000)p Fq(\013)4860 4330 y Fo(1)p Fr(;)p Fp(\000)p
Fo(2)5002 4318 y Fu(\)\(6)5108 4288 y Fp(\000)5164 4318
y Fq(;)g Fu(0\)])p 2528 4513 4238 4 v 2526 4634 4 122
v 2687 4599 a Fq(n)p 2894 4634 V 243 w(j)p 3102 4634
V 214 w Fu(domain)27 b Fq(D)3594 4556 y Fo(\()p Fr(n)p
Fo(\))3592 4622 y Fr(j)p 4840 4634 V 5339 4599 a Fq(t)5369
4611 y Fr(j)p 5899 4634 V 5973 4584 a Fu(~)5972 4599
y Fq(t)6002 4611 y Fr(j)p 6107 4634 V 6401 4599 a Fq(\016)6438
4611 y Fr(j)p 6764 4634 V 2528 4637 4238 4 v 2528 4654
V 2526 5550 4 897 v 2611 5072 a Fq(n)c Fs(\025)f Fu(0)2631
5172 y(ev)n(en)p 2894 5550 V 2979 4723 a(0)2979 4823
y(1)2979 4923 y(2)2979 5022 y(3)2979 5122 y(4)2979 5221
y(5)2979 5321 y(6)2979 5421 y(7)2979 5520 y(8)p 3102
5550 V 3187 4723 a([\(4)3284 4693 y Fp(\000)3339 4723
y Fq(;)14 b Fs(\000)p Fq(\013)3494 4735 y Fo(1)p Fr(;)p
Fp(\000)p Fo(2)3636 4723 y Fu(\))p Fq(;)g Fu(\(1)3779
4693 y Fp(\000)3835 4723 y Fq(;)g Fu(0\))p Fq(;)g Fu(\(7)4057
4693 y Fp(\000)4112 4723 y Fq(;)g Fu(1\))p Fq(;)g Fu(\(6)4334
4693 y Fp(\000)4390 4723 y Fq(;)g Fu(0\)])3187 4823 y([\(3)3284
4793 y Fo(+)3339 4823 y Fq(;)g Fs(\000)p Fu(1\))p Fq(;)g
Fu(\(1)3626 4793 y Fp(\000)3681 4823 y Fq(;)g(\013)3771
4835 y Fo(22)3841 4823 y Fu(\))p Fq(;)g Fu(\(7)3984 4793
y Fo(+)4039 4823 y Fq(;)g Fu(1\))p Fq(;)g Fu(\(6)4261
4793 y Fp(\000)4316 4823 y Fq(;)g Fu(0\)])3187 4923 y([\(1)3284
4892 y Fo(+)3339 4923 y Fq(;)g(\013)3429 4935 y Fo(34)3499
4923 y Fu(\))p Fq(;)g Fu(\(2)3642 4892 y Fo(+)3697 4923
y Fq(;)g Fs(\000)p Fq(\013)3852 4935 y Fo(22)3922 4923
y Fu(\))p Fq(;)g Fu(\(5)4065 4892 y Fo(+)4120 4923 y
Fq(;)g Fs(\000)p Fq(\013)4275 4935 y Fo(34)4345 4923
y Fu(\))p Fq(;)g Fu(\(6)4488 4892 y Fo(+)4543 4923 y
Fq(;)g(\013)4633 4935 y Fo(22)4703 4923 y Fu(\)])3187
5022 y([\(3)3284 4992 y Fo(+)3339 5022 y Fq(;)g Fs(\000)p
Fu(1\))p Fq(;)g Fu(\(1)3626 4992 y Fp(\000)3681 5022
y Fq(;)g Fu(0\))p Fq(;)g Fu(\(7)3903 4992 y Fo(+)3957
5022 y Fq(;)g Fu(1\))p Fq(;)g Fu(\(6)4179 4992 y Fp(\000)4234
5022 y Fq(;)g(\013)4324 5034 y Fo(22)4395 5022 y Fu(\)])3187
5122 y([\(0)3284 5092 y Fo(+)3339 5122 y Fq(;)g Fs(\000)p
Fq(\013)3494 5134 y Fo(13)3563 5122 y Fu(\))p Fq(;)g
Fu(\(1)3706 5092 y Fo(+)3762 5122 y Fq(;)g(\013)3852
5134 y Fo(22)3922 5122 y Fu(\))p Fq(;)g Fu(\(4)4065 5092
y Fo(+)4120 5122 y Fq(;)g(\013)4210 5134 y Fo(13)4280
5122 y Fu(\))p Fq(;)g Fu(\(5)4423 5092 y Fo(+)4478 5122
y Fq(;)g Fs(\000)p Fq(\013)4633 5134 y Fo(22)4703 5122
y Fu(\)])3187 5221 y([\(0)3284 5191 y Fo(+)3339 5221
y Fq(;)g Fs(\000)p Fq(\013)3494 5233 y Fo(12)3563 5221
y Fu(\))p Fq(;)g Fu(\(4)3706 5191 y Fo(+)3762 5221 y
Fq(;)g(\013)3852 5233 y Fo(12)3922 5221 y Fu(\))p Fq(;)g
Fu(\(1)4065 5191 y Fp(\000)4121 5221 y Fq(;)g Fu(0\))p
Fq(;)g Fu(\(6)4343 5191 y Fp(\000)4398 5221 y Fq(;)g
Fu(0\)])3187 5321 y([\(0)3284 5291 y Fp(\000)3339 5321
y Fq(;)g Fs(\000)p Fq(\013)3494 5333 y Fo(12)3564 5321
y Fu(\))p Fq(;)g Fu(\(1)3707 5291 y Fp(\000)3763 5321
y Fq(;)g Fu(0\))p Fq(;)g Fu(\(3)3985 5291 y Fp(\000)4041
5321 y Fq(;)g Fs(\000)p Fu(1\))p Fq(;)g Fu(\(2)4328 5291
y Fo(+)4382 5321 y Fq(;)g Fu(0\)])3187 5421 y([\(3)3284
5391 y Fo(+)3339 5421 y Fq(;)g Fs(\000)p Fu(1\))p Fq(;)g
Fu(\(7)3626 5391 y Fo(+)3680 5421 y Fq(;)g Fu(1\))p Fq(;)g
Fu(\(5)3902 5391 y Fp(\000)3957 5421 y Fq(;)g Fs(\000)p
Fq(\013)4112 5433 y Fo(22)4182 5421 y Fu(\))p Fq(;)g
Fu(\(2)4325 5391 y Fp(\000)4381 5421 y Fq(;)g Fs(\000)p
Fq(\013)4536 5433 y Fo(22)4606 5421 y Fu(\)])3187 5520
y([\(4)3284 5490 y Fp(\000)3339 5520 y Fq(;)g(\013)3429
5532 y Fo(12)3500 5520 y Fu(\))p Fq(;)g Fu(\(1)3643 5490
y Fp(\000)3699 5520 y Fq(;)g Fu(0\))p Fq(;)g Fu(\(6)3921
5490 y Fp(\000)3976 5520 y Fq(;)g Fu(0\)])p 4840 5550
V 4925 4723 a(3)k Fs(\001)g Fu(9)5068 4693 y Fr(n)4925
4823 y Fu(36)f Fs(\001)i Fu(9)5110 4793 y Fr(n)5173 4823
y Fs(\000)f Fu(4)g Fs(\001)g Fu(5)5399 4793 y Fr(n)4925
4923 y Fu(\(177)f Fs(\001)i Fu(9)5184 4892 y Fr(n)5247
4923 y Fs(\000)f Fu(22)f Fs(\001)i Fu(5)5515 4892 y Fr(n)5578
4923 y Fs(\000)f Fu(3\))p Fq(=)p Fu(2)4925 5022 y(66)f
Fs(\001)i Fu(9)5110 4992 y Fr(n)5173 5022 y Fs(\000)f
Fu(6)g Fs(\001)g Fu(5)5399 4992 y Fr(n)4925 5122 y Fu(96)f
Fs(\001)i Fu(9)5110 5092 y Fr(n)5173 5122 y Fs(\000)f
Fu(10)f Fs(\001)i Fu(5)5441 5092 y Fr(n)4925 5221 y Fu(75)e
Fs(\001)i Fu(9)5110 5191 y Fr(n)5173 5221 y Fs(\000)f
Fu(6)g Fs(\001)g Fu(5)5399 5191 y Fr(n)4925 5321 y Fu(15)f
Fs(\001)i Fu(9)5110 5291 y Fr(n)4925 5421 y Fu(45)e Fs(\001)i
Fu(9)5110 5391 y Fr(n)5173 5421 y Fs(\000)f Fu(4)g Fs(\001)g
Fu(5)5399 5391 y Fr(n)4925 5520 y Fu(24)f Fs(\001)i Fu(9)5110
5490 y Fr(n)p 5899 5550 V 5984 4723 a Fu(3)5984 4823
y(0)5984 4923 y(4)5984 5022 y(4)5984 5122 y(6)5984 5221
y(5)5984 5321 y(7)5984 5421 y(1)5984 5520 y(0)p 6107
5550 V 6191 4723 a(\()p Fq(\013)6276 4735 y Fo(2)p Fr(;)p
Fp(\000)p Fo(2)6419 4723 y Fq(;)14 b(\013)6509 4735 y
Fo(1)p Fr(;)p Fp(\000)p Fo(2)6651 4723 y Fu(\))6191 4823
y(\()p Fq(\013)6276 4835 y Fo(22)6347 4823 y Fq(;)g Fs(\000)p
Fq(\013)6502 4835 y Fo(22)6572 4823 y Fu(\))6191 4923
y(\()p Fs(\000)p Fq(\013)6341 4935 y Fo(04)6412 4923
y Fq(;)g(\013)6502 4935 y Fo(22)6572 4923 y Fu(\))6191
5022 y(\()p Fs(\000)p Fq(\013)6341 5034 y Fo(04)6412
5022 y Fq(;)g(\013)6502 5034 y Fo(22)6572 5022 y Fu(\))6191
5122 y(\()p Fs(\000)p Fq(\013)6341 5134 y Fo(14)6412
5122 y Fq(;)g(\013)6502 5134 y Fo(12)6572 5122 y Fu(\))6191
5221 y(\()p Fq(\013)6276 5233 y Fo(1)p Fr(;)p Fp(\000)p
Fo(2)6419 5221 y Fq(;)g(\013)6509 5233 y Fo(22)6579 5221
y Fu(\))6191 5321 y(\()p Fs(\000)p Fq(\013)6341 5333
y Fo(02)6412 5321 y Fq(;)g(\013)6502 5333 y Fo(12)6572
5321 y Fu(\))6191 5421 y(\()p Fs(\000)p Fq(\013)6341
5433 y Fo(14)6412 5421 y Fq(;)g(\013)6502 5433 y Fo(22)6572
5421 y Fu(\))6191 5520 y(\()p Fq(\013)6276 5532 y Fo(20)6347
5520 y Fq(;)g Fu(0\))p 6764 5550 V 2528 5554 4238 4 v
2526 6450 4 897 v 2611 5972 a Fq(n)23 b Fs(\025)f Fu(1)2644
6072 y(o)r(dd)p 2894 6450 V 2979 5623 a(0)2979 5723 y(1)2979
5823 y(2)2979 5922 y(3)2979 6022 y(4)2979 6121 y(5)2979
6221 y(6)2979 6321 y(7)2979 6420 y(8)p 3102 6450 V 3187
5623 a([\(4)3284 5593 y Fp(\000)3339 5623 y Fq(;)14 b
Fs(\000)p Fq(\013)3494 5635 y Fo(1)p Fr(;)p Fp(\000)p
Fo(2)3636 5623 y Fu(\))p Fq(;)g Fu(\(1)3779 5593 y Fp(\000)3835
5623 y Fq(;)g Fu(0\))p Fq(;)g Fu(\(6)4057 5593 y Fp(\000)4112
5623 y Fq(;)g Fu(0\))p Fq(;)g Fu(\(7)4334 5593 y Fp(\000)4390
5623 y Fq(;)g(\013)4480 5635 y Fo(10)4550 5623 y Fu(\)])3187
5723 y([\(4)3284 5693 y Fp(\000)3339 5723 y Fq(;)g Fs(\000)p
Fu(1\))p Fq(;)g Fu(\(3)3626 5693 y Fo(+)3681 5723 y Fq(;)g
Fs(\000)p Fu(1\))p Fq(;)g Fu(\(1)3968 5693 y Fp(\000)4023
5723 y Fq(;)g Fu(0\))p Fq(;)g Fu(\(7)4245 5693 y Fo(+)4299
5723 y Fq(;)g Fs(\000)p Fu(1\)])3187 5823 y([\(0)3284
5792 y Fo(+)3339 5823 y Fq(;)g Fu(1\))p Fq(;)g Fu(\(2)3561
5792 y Fo(+)3615 5823 y Fq(;)g(\013)3705 5835 y Fo(12)3775
5823 y Fu(\))p Fq(;)g Fu(\(4)3918 5792 y Fo(+)3973 5823
y Fq(;)g Fs(\000)p Fu(1\))p Fq(;)g Fu(\(6)4260 5792 y
Fo(+)4315 5823 y Fq(;)g Fs(\000)p Fq(\013)4470 5835 y
Fo(12)4539 5823 y Fu(\)])3187 5922 y([\(0)3284 5892 y
Fp(\000)3339 5922 y Fq(;)g Fu(1\))p Fq(;)g Fu(\(3)3561
5892 y Fo(+)3616 5922 y Fq(;)g Fs(\000)p Fu(1\))p Fq(;)g
Fu(\(5)3903 5892 y Fp(\000)3958 5922 y Fq(;)g Fs(\000)p
Fq(\013)4113 5934 y Fo(22)4183 5922 y Fu(\))p Fq(;)g
Fu(\(7)4326 5892 y Fo(+)4381 5922 y Fq(;)g Fu(1\)])3187
6022 y([\(0)3284 5992 y Fo(+)3339 6022 y Fq(;)g Fs(\000)p
Fq(\013)3494 6034 y Fo(13)3563 6022 y Fu(\))p Fq(;)g
Fu(\(1)3706 5992 y Fo(+)3762 6022 y Fq(;)g(\013)3852
6034 y Fo(22)3922 6022 y Fu(\))p Fq(;)g Fu(\(4)4065 5992
y Fo(+)4120 6022 y Fq(;)g(\013)4210 6034 y Fo(13)4280
6022 y Fu(\))p Fq(;)g Fu(\(5)4423 5992 y Fo(+)4478 6022
y Fq(;)g Fs(\000)p Fq(\013)4633 6034 y Fo(22)4703 6022
y Fu(\)])3187 6121 y([\(1)3284 6091 y Fp(\000)3339 6121
y Fq(;)g(\013)3429 6133 y Fo(22)3500 6121 y Fu(\))p Fq(;)g
Fu(\(6)3643 6091 y Fp(\000)3699 6121 y Fq(;)g Fu(0\))p
Fq(;)g Fu(\(3)3921 6091 y Fo(+)3975 6121 y Fq(;)g Fs(\000)p
Fu(1\))p Fq(;)g Fu(\(7)4262 6091 y Fo(+)4316 6121 y Fq(;)g
Fu(1\)])3187 6221 y([\(0)3284 6191 y Fp(\000)3339 6221
y Fq(;)g Fs(\000)p Fq(\013)3494 6233 y Fo(12)3564 6221
y Fu(\))p Fq(;)g Fu(\(1)3707 6191 y Fp(\000)3763 6221
y Fq(;)g Fu(0\))p Fq(;)g Fu(\(3)3985 6191 y Fp(\000)4041
6221 y Fq(;)g Fs(\000)p Fu(1\))p Fq(;)g Fu(\(6)4328 6191
y Fp(\000)4383 6221 y Fq(;)g Fu(0\)])3187 6321 y([\(0)3284
6291 y Fo(+)3339 6321 y Fq(;)g Fs(\000)p Fq(\013)3494
6333 y Fo(12)3563 6321 y Fu(\))p Fq(;)g Fu(\(1)3706 6291
y Fp(\000)3762 6321 y Fq(;)g Fu(0\))p Fq(;)g Fu(\(6)3984
6291 y Fp(\000)4040 6321 y Fq(;)g Fu(0\))p Fq(;)g Fu(\(4)4262
6291 y Fo(+)4316 6321 y Fq(;)g(\013)4406 6333 y Fo(12)4477
6321 y Fu(\)])3187 6420 y([\(4)3284 6390 y Fp(\000)3339
6420 y Fq(;)g(\013)3429 6432 y Fo(12)3500 6420 y Fu(\))p
Fq(;)g Fu(\(1)3643 6390 y Fp(\000)3699 6420 y Fq(;)g
Fu(0\))p Fq(;)g Fu(\(6)3921 6390 y Fp(\000)3976 6420
y Fq(;)g Fu(0\)])p 4840 6450 V 4925 5623 a(3)k Fs(\001)g
Fu(9)5068 5593 y Fr(n)4925 5723 y Fu(36)f Fs(\001)i Fu(9)5110
5693 y Fr(n)5173 5723 y Fs(\000)f Fu(4)g Fs(\001)g Fu(5)5399
5693 y Fr(n)4925 5823 y Fu(\(177)f Fs(\001)i Fu(9)5184
5792 y Fr(n)5247 5823 y Fs(\000)f Fu(22)f Fs(\001)i Fu(5)5515
5792 y Fr(n)5578 5823 y Fs(\000)f Fu(3\))p Fq(=)p Fu(2)4925
5922 y(66)f Fs(\001)i Fu(9)5110 5892 y Fr(n)5173 5922
y Fs(\000)f Fu(6)g Fs(\001)g Fu(5)5399 5892 y Fr(n)4925
6022 y Fu(96)f Fs(\001)i Fu(9)5110 5992 y Fr(n)5173 6022
y Fs(\000)f Fu(10)f Fs(\001)i Fu(5)5441 5992 y Fr(n)4925
6121 y Fu(75)e Fs(\001)i Fu(9)5110 6091 y Fr(n)5173 6121
y Fs(\000)f Fu(6)g Fs(\001)g Fu(5)5399 6091 y Fr(n)4925
6221 y Fu(15)f Fs(\001)i Fu(9)5110 6191 y Fr(n)4925 6321
y Fu(45)e Fs(\001)i Fu(9)5110 6291 y Fr(n)5173 6321 y
Fs(\000)f Fu(4)g Fs(\001)g Fu(5)5399 6291 y Fr(n)4925
6420 y Fu(24)f Fs(\001)i Fu(9)5110 6390 y Fr(n)p 5899
6450 V 5984 5623 a Fu(3)5984 5723 y(0)5984 5823 y(4)5984
5922 y(4)5984 6022 y(6)5984 6121 y(5)5984 6221 y(7)5984
6321 y(1)5984 6420 y(0)p 6107 6450 V 6191 5623 a(\()p
Fq(\013)6276 5635 y Fo(2)p Fr(;)p Fp(\000)p Fo(2)6419
5623 y Fq(;)14 b(\013)6509 5635 y Fo(1)p Fr(;)p Fp(\000)p
Fo(2)6651 5623 y Fu(\))6191 5723 y(\()p Fs(\000)p Fq(\013)6341
5735 y Fo(02)6412 5723 y Fq(;)g(\013)6502 5735 y Fo(22)6572
5723 y Fu(\))6191 5823 y(\()p Fs(\000)p Fq(\013)6341
5835 y Fo(04)6412 5823 y Fq(;)g(\013)6502 5835 y Fo(22)6572
5823 y Fu(\))6191 5922 y(\()p Fs(\000)p Fq(\013)6341
5934 y Fo(04)6412 5922 y Fq(;)g(\013)6502 5934 y Fo(22)6572
5922 y Fu(\))6191 6022 y(\()p Fs(\000)p Fq(\013)6341
6034 y Fo(14)6412 6022 y Fq(;)g(\013)6502 6034 y Fo(12)6572
6022 y Fu(\))6191 6121 y(\()p Fq(\013)6276 6133 y Fo(30)6347
6121 y Fq(;)g Fu(0\))6191 6221 y(\()p Fs(\000)p Fq(\013)6341
6233 y Fo(02)6412 6221 y Fq(;)g(\013)6502 6233 y Fo(12)6572
6221 y Fu(\))6191 6321 y(\()p Fs(\000)p Fq(\013)6341
6333 y Fo(14)6412 6321 y Fq(;)g(\013)6502 6333 y Fo(22)6572
6321 y Fu(\))6191 6420 y(\()p Fq(\013)6276 6432 y Fo(20)6347
6420 y Fq(;)g Fu(0\))p 6764 6450 V 2528 6453 4238 4 v
1947 5257 a
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 1947 5257 a 1905 5506 a Fu(44)p eop
%%Page: 45 45
45 44 bop 1621 523 a FB(T)p Fw(ABLE)34 b FB(VI)s(I)s(I)e(\(c\))1380
648 y Fw(EXAMPLE)25 b(I)r(I:)h(RETURN)e(P)-6 b(A)g(THS)p
515 842 3618 4 v 513 963 4 122 v 674 929 a Fq(n)p 881
963 V 243 w(j)p 1089 963 V 131 w Fu(lev)n(el-\()p Fq(n)18
b Fs(\000)g Fu(1\))27 b(return)g(path)h(for)f Fq(D)2252
886 y Fo(\()p Fr(n)p Fo(\))2250 952 y Fr(j)p 4131 963
V 515 966 3618 4 v 515 983 V 513 1880 4 897 v 646 1452
a Fs(\000)p Fu(1)p 881 1880 V 966 1053 a(0)966 1152 y(1)966
1252 y(2)966 1352 y(3)966 1451 y(4)966 1551 y(5)966 1651
y(6)966 1750 y(7)966 1850 y(8)p 1089 1880 V 1173 1053
a(0)p Fq(;)14 b Fu(3)p Fq(;)g Fu(4)p Fq(;)g Fu(10)p Fq(;)g
Fu(1)p Fq(;)g Fu(3)p Fq(;)g Fu(6)p Fq(;)g Fu(8)p Fq(;)g
Fu(1)p Fq(;)g Fu(11)p Fq(;)g Fu(4)o Fq(;)g Fu(1)o(0)p
Fq(;)g Fu(2)o Fq(;)g Fu(0)1173 1152 y(0)p Fq(;)g Fu(3)p
Fq(;)g Fu(4)p Fq(;)g Fu(10)p Fq(;)g Fu(1)p Fq(;)g Fu(3)p
Fq(;)g Fu(6)p Fq(;)g Fu(8)p Fq(;)g Fu(1)p Fq(;)g Fu(11)p
Fq(;)g Fu(4)o Fq(;)g Fu(9)o Fq(;)g Fu(4)p Fq(;)g Fu(1)o(0)p
Fq(;)g Fu(1)o Fq(;)g Fu(3)p Fq(;)f Fu(6)p Fq(;)h Fu(8)o
Fq(;)g Fu(1)p Fq(;)g Fu(1)o(1)p Fq(;)g Fu(4)o Fq(;)g
Fu(8)p Fq(;)f Fu(0)1173 1252 y(0)p Fq(;)h Fu(3)p Fq(;)g
Fu(4)p Fq(;)g Fu(10)p Fq(;)g Fu(1)p Fq(;)g Fu(3)p Fq(;)g
Fu(6)p Fq(;)g Fu(8)p Fq(;)g Fu(1)p Fq(;)g Fu(11)p Fq(;)g
Fu(4)o Fq(;)g Fu(8)o Fq(;)g Fu(0)1173 1352 y(0)p Fq(;)g
Fu(2)p Fq(;)g Fu(0)1173 1451 y(0)p Fq(;)g Fu(2)p Fq(;)g
Fu(11)p Fq(;)g Fu(4)p Fq(;)g Fu(10)p Fq(;)g Fu(3)p Fq(;)g
Fu(5)p Fq(;)g Fu(7)p Fq(;)g Fu(8)p Fq(;)g Fu(11)o Fq(;)g
Fu(4)p Fq(;)f Fu(10)o Fq(;)h Fu(2)p Fq(;)g Fu(0)1173
1551 y(0)p Fq(;)g Fu(2)p Fq(;)g Fu(11)p Fq(;)g Fu(4)p
Fq(;)g Fu(10)p Fq(;)g Fu(2)p Fq(;)g Fu(0)1173 1651 y(0)p
Fq(;)g Fu(2)p Fq(;)g Fu(11)p Fq(;)g Fu(4)p Fq(;)g Fu(10)p
Fq(;)g Fu(1)p Fq(;)g Fu(3)p Fq(;)g Fu(6)p Fq(;)g Fu(8)p
Fq(;)g Fu(1)p Fq(;)g Fu(1)o(1)p Fq(;)f Fu(4)p Fq(;)h
Fu(8)o Fq(;)g Fu(0)1173 1750 y(0)p Fq(;)g Fu(2)p Fq(;)g
Fu(1)p Fq(;)g Fu(0)1173 1850 y(0)p Fq(;)g Fu(1)p Fq(;)g
Fu(2)p Fq(;)g Fu(0)p 4131 1880 V 515 1883 3618 4 v 513
2780 4 897 v 678 2352 a(0)p 881 2780 V 966 1953 a(0)966
2052 y(1)966 2152 y(2)966 2252 y(3)966 2351 y(4)966 2451
y(5)966 2551 y(6)966 2650 y(7)966 2750 y(8)p 1089 2780
V 1173 1953 a(7)p Fq(;)g Fu(7)1173 2052 y(7)p Fq(;)g
Fu(6)p Fq(;)g Fu(3)p Fq(;)g Fu(3)p Fq(;)g Fu(2)p Fq(;)g
Fu(7)1173 2152 y(7)p Fq(;)g Fu(6)p Fq(;)g Fu(3)p Fq(;)g
Fu(3)p Fq(;)g Fu(0)p Fq(;)g Fu(8)p Fq(;)g Fu(8)p Fq(;)g
Fu(2)p Fq(;)g Fu(4)p Fq(;)g Fu(2)p Fq(;)g Fu(7)1173 2252
y(7)p Fq(;)g Fu(6)p Fq(;)g Fu(3)p Fq(;)g Fu(3)p Fq(;)g
Fu(0)p Fq(;)g Fu(8)1610 2222 y Fo(5)1644 2252 y Fq(;)g
Fu(2)p Fq(;)g Fu(7)1173 2351 y(7)p Fq(;)g Fu(6)p Fq(;)g
Fu(3)p Fq(;)g Fu(3)p Fq(;)g Fu(1)p Fq(;)g Fu(3)p Fq(;)g
Fu(3)p Fq(;)g Fu(0)p Fq(;)g Fu(8)1847 2321 y Fo(5)1879
2351 y Fq(;)g Fu(2)p Fq(;)g Fu(7)1173 2451 y(7)p Fq(;)g
Fu(3)p Fq(;)g Fu(3)p Fq(;)g Fu(8)p Fq(;)g Fu(8)p Fq(;)g
Fu(2)p Fq(;)g Fu(3)p Fq(;)g Fu(3)p Fq(;)g Fu(0)p Fq(;)g
Fu(8)1926 2421 y Fo(5)1958 2451 y Fq(;)g Fu(2)p Fq(;)g
Fu(7)1173 2551 y(7)p Fq(;)g Fu(3)p Fq(;)g Fu(3)p Fq(;)g
Fu(8)p Fq(;)g Fu(8)p Fq(;)g Fu(3)p Fq(;)g Fu(7)1173 2650
y(7)p Fq(;)g Fu(6)p Fq(;)g Fu(3)p Fq(;)g Fu(3)p Fq(;)g
Fu(0)p Fq(;)g Fu(8)p Fq(;)g Fu(8)p Fq(;)g Fu(3)p Fq(;)g
Fu(7)1173 2750 y(7)p Fq(;)g Fu(3)p Fq(;)g Fu(3)p Fq(;)g
Fu(8)1452 2720 y Fo(5)1487 2750 y Fq(;)g Fu(3)p Fq(;)g
Fu(7)p 4131 2780 V 515 2783 3618 4 v 513 3680 4 897 v
598 3201 a Fq(n)23 b Fs(\025)f Fu(2)618 3301 y(ev)n(en)p
881 3680 V 966 2853 a(0)966 2952 y(1)966 3052 y(2)966
3152 y(3)966 3251 y(4)966 3351 y(5)966 3450 y(6)966 3550
y(7)966 3650 y(8)p 1089 3680 V 1173 2853 a(8)p Fq(;)14
b Fu(0)p Fq(;)g Fu(8)1173 2952 y(8)p Fq(;)g Fu(0)p Fq(;)g
Fu(7)p Fq(;)g Fu(0)1452 2922 y Fo(4)1487 2952 y Fq(;)g
Fu(5)p Fq(;)g Fu(0)p Fq(;)g Fu(\(6)p Fq(;)g Fu(0\))1867
2922 y Fo(2)1903 2952 y Fq(;)g Fu(1)p Fq(;)g Fu(0)2061
2922 y Fo(4)2097 2952 y Fq(;)g Fu(5)p Fq(;)g Fu(0)p Fq(;)g
Fu(8)1173 3052 y(8)p Fq(;)g Fu(0)p Fq(;)g Fu(7)p Fq(;)g
Fu(0)1452 3022 y Fo(4)1487 3052 y Fq(;)g Fu(5)p Fq(;)g
Fu(0)p Fq(;)g Fu(\(6)p Fq(;)g Fu(0\))1867 3022 y Fo(2)1903
3052 y Fq(;)g Fu(1)p Fq(;)g Fu(0)2061 3022 y Fo(4)2097
3052 y Fq(;)g Fu(3)p Fq(;)g Fu(0)p Fq(;)g Fu(6)p Fq(;)g
Fu(0)2413 3022 y Fo(4)2448 3052 y Fq(;)g Fu(6)p Fq(;)g
Fu(0)2606 3022 y Fo(4)2642 3052 y Fq(;)g Fu(6)p Fq(;)g
Fu(0)p Fq(;)g Fu(1)p Fq(;)g Fu(0)2958 3022 y Fo(4)2993
3052 y Fq(;)g Fu(5)p Fq(;)g Fu(0)p Fq(;)g Fu(7)p Fq(;)g
Fu(0)p Fq(;)g Fu(2)p Fq(;)g Fu(0)p Fq(;)g Fu(6)p Fq(;)g
Fu(0)p Fq(;)g Fu(1)p Fq(;)g Fu(0)3783 3022 y Fo(4)3814
3052 y Fq(;)g Fu(5)p Fq(;)g Fu(0)p Fq(;)g Fu(8)1173 3152
y(8)p Fq(;)g Fu(0)p Fq(;)g Fu(7)p Fq(;)g Fu(0)1452 3121
y Fo(4)1487 3152 y Fq(;)g Fu(5)p Fq(;)g Fu(0)p Fq(;)g
Fu(\(6)p Fq(;)g Fu(0\))1867 3121 y Fo(2)1903 3152 y Fq(;)g
Fu(1)p Fq(;)g Fu(0)2061 3121 y Fo(4)2097 3152 y Fq(;)g
Fu(3)p Fq(;)g Fu(0)p Fq(;)g Fu(\(6)p Fq(;)g Fu(0)2445
3121 y Fo(4)2480 3152 y Fu(\))2512 3121 y Fo(5)2550 3152
y Fq(;)g Fu(6)p Fq(;)g Fu(0)p Fq(;)g Fu(1)p Fq(;)g Fu(0)2866
3121 y Fo(4)2900 3152 y Fq(;)g Fu(5)p Fq(;)g Fu(0)p Fq(;)g
Fu(8)1173 3251 y(8)p Fq(;)g Fu(0)p Fq(;)g Fu(7)p Fq(;)g
Fu(0)1452 3221 y Fo(4)1487 3251 y Fq(;)g Fu(5)p Fq(;)g
Fu(0)p Fq(;)g Fu(\(6)p Fq(;)g Fu(0\))1867 3221 y Fo(2)1903
3251 y Fq(;)g Fu(1)p Fq(;)g Fu(0)2061 3221 y Fo(4)2097
3251 y Fq(;)g Fu(4)p Fq(;)g Fu(0)2255 3221 y Fo(4)2291
3251 y Fq(;)g Fu(5)p Fq(;)g Fu(0)p Fq(;)g Fu(\(6)p Fq(;)g
Fu(0\))2671 3221 y Fo(2)2706 3251 y Fq(;)g Fu(1)p Fq(;)g
Fu(0)2864 3221 y Fo(4)2900 3251 y Fq(;)g Fu(3)p Fq(;)g
Fu(0)p Fq(;)g Fu(\(6)p Fq(;)g Fu(0)3248 3221 y Fo(4)3284
3251 y Fu(\))3316 3221 y Fo(5)3353 3251 y Fq(;)g Fu(6)p
Fq(;)g Fu(0)p Fq(;)g Fu(1)p Fq(;)g Fu(0)3669 3221 y Fo(4)3704
3251 y Fq(;)g Fu(5)p Fq(;)g Fu(0)p Fq(;)g Fu(8)1173 3351
y(8)p Fq(;)g Fu(0)p Fq(;)g Fu(6)p Fq(;)g Fu(0)p Fq(;)g
Fu(\(6)p Fq(;)g Fu(0)1642 3321 y Fo(4)1676 3351 y Fu(\))1708
3321 y Fo(2)1746 3351 y Fq(;)g Fu(6)p Fq(;)g Fu(0)p Fq(;)g
Fu(1)p Fq(;)g Fu(0)2062 3321 y Fo(4)2097 3351 y Fq(;)g
Fu(5)p Fq(;)g Fu(0)p Fq(;)g Fu(6)p Fq(;)g Fu(0)p Fq(;)g
Fu(6)p Fq(;)g Fu(0)p Fq(;)g Fu(1)p Fq(;)g Fu(0)2729 3321
y Fo(4)2761 3351 y Fq(;)g Fu(3)p Fq(;)g Fu(0)p Fq(;)g
Fu(\(6)p Fq(;)g Fu(0)3109 3321 y Fo(4)3145 3351 y Fu(\))3177
3321 y Fo(5)3214 3351 y Fq(;)g Fu(6)p Fq(;)g Fu(0)p Fq(;)g
Fu(1)p Fq(;)g Fu(0)3530 3321 y Fo(4)3565 3351 y Fq(;)g
Fu(5)p Fq(;)g Fu(0)p Fq(;)g Fu(8)1173 3450 y(8)p Fq(;)g
Fu(0)p Fq(;)g Fu(6)p Fq(;)g Fu(0)p Fq(;)g Fu(\(6)p Fq(;)g
Fu(0)1642 3420 y Fo(4)1676 3450 y Fu(\))1708 3420 y Fo(2)1746
3450 y Fq(;)g Fu(\(6)p Fq(;)g Fu(0\))1968 3420 y Fo(2)2005
3450 y Fq(;)g Fu(8)1173 3550 y(8)p Fq(;)g Fu(0)p Fq(;)g
Fu(7)p Fq(;)g Fu(0)1452 3520 y Fo(4)1487 3550 y Fq(;)g
Fu(5)p Fq(;)g Fu(0)p Fq(;)g Fu(\(6)p Fq(;)g Fu(0\))1867
3520 y Fo(2)1903 3550 y Fq(;)g Fu(1)p Fq(;)g Fu(0)2061
3520 y Fo(4)2097 3550 y Fq(;)g Fu(3)p Fq(;)g Fu(0)p Fq(;)g
Fu(\(6)p Fq(;)g Fu(0)2445 3520 y Fo(4)2480 3550 y Fu(\))2512
3520 y Fo(2)2550 3550 y Fq(;)g Fu(\(6)p Fq(;)g Fu(0\))2772
3520 y Fo(2)2808 3550 y Fq(;)g Fu(8)1173 3650 y(8)p Fq(;)g
Fu(0)p Fq(;)g Fu(6)p Fq(;)g Fu(0)p Fq(;)g Fu(\(6)p Fq(;)g
Fu(0)1642 3620 y Fo(4)1676 3650 y Fu(\))1708 3620 y Fo(5)1746
3650 y Fq(;)g Fu(\(6)p Fq(;)g Fu(0\))1968 3620 y Fo(2)2005
3650 y Fq(;)g Fu(8)p 4131 3680 V 515 3683 3618 4 v 513
4580 4 897 v 598 4101 a Fq(n)23 b Fs(\025)f Fu(1)631
4201 y(o)r(dd)p 881 4580 V 966 3753 a(0)966 3852 y(1)966
3952 y(2)966 4052 y(3)966 4151 y(4)966 4251 y(5)966 4350
y(6)966 4450 y(7)966 4550 y(8)p 1089 4580 V 1173 3753
a(8)p Fq(;)14 b Fu(0)p Fq(;)g Fu(8)1173 3852 y(8)p Fq(;)g
Fu(0)p Fq(;)g Fu(5)p Fq(;)g Fu(0)1452 3822 y Fo(4)1487
3852 y Fq(;)g Fu(1)p Fq(;)g Fu(0)p Fq(;)g Fu(\(6)p Fq(;)g
Fu(0\))1867 3822 y Fo(2)1903 3852 y Fq(;)g Fu(5)p Fq(;)g
Fu(0)2061 3822 y Fo(4)2097 3852 y Fq(;)g Fu(7)p Fq(;)g
Fu(0)p Fq(;)g Fu(8)1173 3952 y(8)p Fq(;)g Fu(0)p Fq(;)g
Fu(5)p Fq(;)g Fu(0)1452 3922 y Fo(4)1487 3952 y Fq(;)g
Fu(1)p Fq(;)g Fu(0)p Fq(;)g Fu(6)p Fq(;)g Fu(0)p Fq(;)g
Fu(2)p Fq(;)g Fu(0)p Fq(;)g Fu(7)p Fq(;)g Fu(0)p Fq(;)g
Fu(5)p Fq(;)g Fu(0)2277 3922 y Fo(4)2309 3952 y Fq(;)g
Fu(1)p Fq(;)g Fu(0)p Fq(;)g Fu(\(6)p Fq(;)g Fu(0)2657
3922 y Fo(4)2692 3952 y Fu(\))2724 3922 y Fo(2)2761 3952
y Fq(;)g Fu(6)p Fq(;)g Fu(0)p Fq(;)g Fu(3)p Fq(;)g Fu(0)3077
3922 y Fo(4)3112 3952 y Fq(;)g Fu(1)p Fq(;)g Fu(0)p Fq(;)g
Fu(\(6)p Fq(;)g Fu(0\))3492 3922 y Fo(2)3528 3952 y Fq(;)g
Fu(5)p Fq(;)g Fu(0)3686 3922 y Fo(4)3722 3952 y Fq(;)g
Fu(7)p Fq(;)g Fu(0)p Fq(;)g Fu(8)1173 4052 y(8)p Fq(;)g
Fu(0)p Fq(;)g Fu(5)p Fq(;)g Fu(0)1452 4021 y Fo(4)1487
4052 y Fq(;)g Fu(1)p Fq(;)g Fu(0)p Fq(;)g Fu(\(6)p Fq(;)g
Fu(0)1835 4021 y Fo(4)1871 4052 y Fu(\))1903 4021 y Fo(5)1940
4052 y Fq(;)g Fu(6)p Fq(;)g Fu(0)p Fq(;)g Fu(3)p Fq(;)g
Fu(0)2256 4021 y Fo(4)2291 4052 y Fq(;)g Fu(1)p Fq(;)g
Fu(0)p Fq(;)g Fu(\(6)p Fq(;)g Fu(0\))2671 4021 y Fo(2)2706
4052 y Fq(;)g Fu(5)p Fq(;)g Fu(0)2864 4021 y Fo(4)2900
4052 y Fq(;)g Fu(7)p Fq(;)g Fu(0)p Fq(;)g Fu(8)1173 4151
y(8)p Fq(;)g Fu(0)p Fq(;)g Fu(5)p Fq(;)g Fu(0)1452 4121
y Fo(4)1487 4151 y Fq(;)g Fu(1)p Fq(;)g Fu(0)p Fq(;)g
Fu(\(6)p Fq(;)g Fu(0)1835 4121 y Fo(4)1871 4151 y Fu(\))1903
4121 y Fo(5)1940 4151 y Fq(;)g Fu(6)p Fq(;)g Fu(0)p Fq(;)g
Fu(3)p Fq(;)g Fu(0)2256 4121 y Fo(4)2291 4151 y Fq(;)g
Fu(1)p Fq(;)g Fu(0)p Fq(;)g Fu(\(6)p Fq(;)g Fu(0\))2671
4121 y Fo(2)2706 4151 y Fq(;)g Fu(5)p Fq(;)g Fu(0)2864
4121 y Fo(4)2900 4151 y Fq(;)g Fu(4)p Fq(;)g Fu(0)3058
4121 y Fo(4)3095 4151 y Fq(;)g Fu(1)p Fq(;)g Fu(0)p Fq(;)g
Fu(\(6)p Fq(;)g Fu(0\))3475 4121 y Fo(2)3510 4151 y Fq(;)g
Fu(5)p Fq(;)g Fu(0)3668 4121 y Fo(4)3704 4151 y Fq(;)g
Fu(7)p Fq(;)g Fu(0)p Fq(;)g Fu(8)1173 4251 y(8)p Fq(;)g
Fu(0)p Fq(;)g Fu(5)p Fq(;)g Fu(0)1452 4221 y Fo(4)1487
4251 y Fq(;)g Fu(1)p Fq(;)g Fu(0)p Fq(;)g Fu(\(6)p Fq(;)g
Fu(0)1835 4221 y Fo(4)1871 4251 y Fu(\))1903 4221 y Fo(5)1940
4251 y Fq(;)g Fu(6)p Fq(;)g Fu(0)p Fq(;)g Fu(3)p Fq(;)g
Fu(0)2256 4221 y Fo(4)2291 4251 y Fq(;)g Fu(1)p Fq(;)g
Fu(0)p Fq(;)g Fu(\(6)p Fq(;)g Fu(0\))2671 4221 y Fo(2)2706
4251 y Fq(;)g Fu(5)p Fq(;)g Fu(0)2864 4221 y Fo(4)2900
4251 y Fq(;)g Fu(1)p Fq(;)g Fu(0)p Fq(;)g Fu(\(6)p Fq(;)g
Fu(0)3248 4221 y Fo(4)3284 4251 y Fu(\))3316 4221 y Fo(2)3353
4251 y Fq(;)g Fu(\(6)p Fq(;)g Fu(0\))3575 4221 y Fo(2)3612
4251 y Fq(;)g Fu(8)1173 4350 y(8)p Fq(;)g Fu(0)p Fq(;)g
Fu(6)p Fq(;)g Fu(0)p Fq(;)g Fu(\(6)p Fq(;)g Fu(0)1642
4320 y Fo(4)1676 4350 y Fu(\))1708 4320 y Fo(2)1746 4350
y Fq(;)g Fu(\(6)p Fq(;)g Fu(0\))1968 4320 y Fo(2)2005
4350 y Fq(;)g Fu(8)1173 4450 y(8)p Fq(;)g Fu(0)p Fq(;)g
Fu(6)p Fq(;)g Fu(0)p Fq(;)g Fu(\(6)p Fq(;)g Fu(0)1642
4420 y Fo(4)1676 4450 y Fu(\))1708 4420 y Fo(2)1746 4450
y Fq(;)g Fu(6)p Fq(;)g Fu(0)p Fq(;)g Fu(3)p Fq(;)g Fu(0)2062
4420 y Fo(4)2097 4450 y Fq(;)g Fu(1)p Fq(;)g Fu(0)p Fq(;)g
Fu(\(6)p Fq(;)g Fu(0\))2477 4420 y Fo(2)2512 4450 y Fq(;)g
Fu(5)p Fq(;)g Fu(0)2670 4420 y Fo(4)2706 4450 y Fq(;)g
Fu(7)p Fq(;)g Fu(0)p Fq(;)g Fu(8)1173 4550 y(8)p Fq(;)g
Fu(0)p Fq(;)g Fu(6)p Fq(;)g Fu(0)p Fq(;)g Fu(\(6)p Fq(;)g
Fu(0)1642 4520 y Fo(4)1676 4550 y Fu(\))1708 4520 y Fo(5)1746
4550 y Fq(;)g Fu(6)p Fq(;)g Fu(0)p Fq(;)g Fu(6)p Fq(;)g
Fu(0)p Fq(;)g Fu(8)p 4131 4580 V 515 4583 3618 4 v 1905
5506 a(45)p eop
%%Page: 46 46
46 45 bop 1947 5257 a
 gsave currentpoint currentpoint translate 90 neg rotate neg exch neg
exch translate
 1947 5257 a 4435 4386 a FB(T)p
Fw(ABLE)33 b FB(IX)3992 4511 y Fw(EXAMPLE)25 b(I)r(I:)h(PERIODIC)f
(DOMAINS)p 2904 4705 3486 4 v 2902 4826 4 122 v 3063
4792 a Fq(n)p 3270 4826 V 243 w(j)p 3478 4826 V 214 w
Fu(domain)i(\005)3961 4749 y Fo(\()p Fr(n)p Fo(\))3961
4815 y Fr(j)p 5283 4826 V 5378 4792 a Fu(return)g(time)p
5885 4826 V 135 w(return)g(path)p 6388 4826 V 2904 4830
3486 4 v 2904 4846 V 2902 5145 4 299 v 3035 5016 a Fs(\000)p
Fu(1)p 3270 5145 V 3355 4916 a(0)3355 5115 y(1)p 3478
5145 V 3563 4916 a([\(0)3660 4886 y Fp(\000)3716 4916
y Fq(;)14 b Fs(\000)p Fq(\013)3871 4928 y Fo(12)3940
4916 y Fu(\))p Fq(;)g Fu(\(1)4083 4886 y Fp(\000)4139
4916 y Fq(;)g Fu(0\))p Fq(;)g Fu(\(2)4361 4886 y Fp(\000)4417
4916 y Fq(;)g Fs(\000)p Fq(\013)4572 4928 y Fo(22)4642
4916 y Fu(\))p Fq(;)g Fu(\(3)4785 4886 y Fp(\000)4841
4916 y Fq(;)g Fs(\000)p Fq(\013)4996 4928 y Fo(10)5066
4916 y Fu(\))3656 5016 y(\(4)3730 4985 y Fp(\000)3785
5016 y Fq(;)g Fs(\000)p Fq(\013)3940 5028 y Fo(10)4010
5016 y Fu(\))p Fq(;)g Fu(\(5)4153 4985 y Fp(\000)4209
5016 y Fq(;)g Fs(\000)p Fq(\013)4364 5028 y Fo(22)4434
5016 y Fu(\))p Fq(;)g Fu(\(6)4577 4985 y Fp(\000)4633
5016 y Fq(;)g Fu(0\))p Fq(;)g Fu(\(7)4855 4985 y Fp(\000)4911
5016 y Fq(;)g Fs(\000)p Fq(\013)5066 5028 y Fo(12)5136
5016 y Fu(\)])3563 5115 y([\(0)3660 5085 y Fo(+)3715
5115 y Fq(;)g Fs(\000)p Fq(\013)3870 5127 y Fo(12)3940
5115 y Fu(\))p Fq(;)g Fu(\(1)4083 5085 y Fp(\000)4139
5115 y Fq(;)g Fu(0\))p Fq(;)g Fu(\(4)4361 5085 y Fo(+)4415
5115 y Fq(;)g(\013)4505 5127 y Fo(12)4575 5115 y Fu(\))p
Fq(;)g Fu(\(7)4718 5085 y Fp(\000)4774 5115 y Fq(;)g
Fs(\000)p Fq(\013)4929 5127 y Fo(12)4999 5115 y Fu(\)])p
5283 5145 V 5565 4916 a(2)5565 5115 y(8)p 5885 5145 V
5970 4916 a(3)5970 5115 y(53)p 6388 5145 V 2904 5148
3486 4 v 2902 5746 4 598 v 2987 5468 a Fq(n)23 b Fs(\025)g
Fu(0)p 3270 5746 V 3355 5268 a(0)3355 5467 y(1)3355 5666
y(2)p 3478 5746 V 3563 5218 a([\(0)3660 5188 y Fp(\000)3716
5218 y Fq(;)14 b(\013)3806 5230 y Fo(10)3876 5218 y Fu(\))p
Fq(;)g Fu(\(1)4019 5188 y Fp(\000)4075 5218 y Fq(;)g
Fu(0\))p Fq(;)g Fu(\(2)4297 5188 y Fp(\000)4352 5218
y Fq(;)g(\013)4442 5230 y Fo(02)4513 5218 y Fu(\))p Fq(;)g
Fu(\(3)4656 5188 y Fp(\000)4712 5218 y Fq(;)g Fs(\000)p
Fq(\013)4867 5230 y Fo(1)p Fr(;)p Fp(\000)p Fo(2)5008
5218 y Fu(\))3656 5318 y(\(4)3730 5288 y Fp(\000)3785
5318 y Fq(;)g Fs(\000)p Fq(\013)3940 5330 y Fo(1)p Fr(;)p
Fp(\000)p Fo(2)4082 5318 y Fu(\))p Fq(;)g Fu(\(5)4225
5288 y Fp(\000)4281 5318 y Fq(;)g(\013)4371 5330 y Fo(02)4441
5318 y Fu(\))p Fq(;)g Fu(\(6)4584 5288 y Fp(\000)4640
5318 y Fq(;)g Fu(0\))p Fq(;)g Fu(\(7)4862 5288 y Fp(\000)4918
5318 y Fq(;)g(\013)5008 5330 y Fo(10)5078 5318 y Fu(\)])3563
5417 y([\(0)3660 5387 y Fp(\000)3716 5417 y Fq(;)g Fs(\000)p
Fq(\013)3871 5429 y Fo(12)3940 5417 y Fu(\))p Fq(;)g
Fu(\(1)4083 5387 y Fp(\000)4139 5417 y Fq(;)g Fu(0\))p
Fq(;)g Fu(\(2)4361 5387 y Fp(\000)4417 5417 y Fq(;)g
Fs(\000)p Fq(\013)4572 5429 y Fo(22)4642 5417 y Fu(\))p
Fq(;)g Fu(\(3)4785 5387 y Fp(\000)4841 5417 y Fq(;)g
Fs(\000)p Fq(\013)4996 5429 y Fo(10)5066 5417 y Fu(\))3656
5517 y(\(4)3730 5487 y Fp(\000)3785 5517 y Fq(;)g Fs(\000)p
Fq(\013)3940 5529 y Fo(10)4010 5517 y Fu(\))p Fq(;)g
Fu(\(5)4153 5487 y Fp(\000)4209 5517 y Fq(;)g Fs(\000)p
Fq(\013)4364 5529 y Fo(22)4434 5517 y Fu(\))p Fq(;)g
Fu(\(6)4577 5487 y Fp(\000)4633 5517 y Fq(;)g Fu(0\))p
Fq(;)g Fu(\(7)4855 5487 y Fp(\000)4911 5517 y Fq(;)g
Fs(\000)p Fq(\013)5066 5529 y Fo(12)5136 5517 y Fu(\)])3563
5617 y([\(0)3660 5587 y Fp(\000)3716 5617 y Fq(;)g(\013)3806
5629 y Fo(56)3876 5617 y Fu(\))p Fq(;)g Fu(\(1)4019 5587
y Fp(\000)4075 5617 y Fq(;)g Fu(0\))p Fq(;)g Fu(\(2)4297
5587 y Fp(\000)4352 5617 y Fq(;)g(\013)4442 5629 y Fo(24)4513
5617 y Fu(\))p Fq(;)g Fu(\(3)4656 5587 y Fp(\000)4712
5617 y Fq(;)g(\013)4802 5629 y Fo(36)4872 5617 y Fu(\))3656
5716 y(\(4)3730 5686 y Fp(\000)3785 5716 y Fq(;)g Fs(\000)p
Fq(\013)3940 5728 y Fo(10)4010 5716 y Fu(\))p Fq(;)g
Fu(\(5)4153 5686 y Fp(\000)4209 5716 y Fq(;)g(\013)4299
5728 y Fo(46)4370 5716 y Fu(\))p Fq(;)g Fu(\(6)4513 5686
y Fp(\000)4569 5716 y Fq(;)g(\013)4659 5728 y Fo(22)4729
5716 y Fu(\))p Fq(;)g Fu(\(7)4872 5686 y Fp(\000)4928
5716 y Fq(;)g(\013)5018 5728 y Fo(10)5088 5716 y Fu(\)])p
5283 5746 V 5491 5268 a(3)k Fs(\001)h Fu(9)5635 5238
y Fr(n)5491 5467 y Fu(2)f Fs(\001)h Fu(9)5635 5437 y
Fr(n)5491 5666 y Fu(3)f Fs(\001)h Fu(9)5635 5636 y Fr(n)p
5885 5746 V 5970 5268 a Fu(0)5970 5467 y(06)5970 5666
y(00060)p 6388 5746 V 2904 5749 3486 4 v 2902 5949 4
200 v 2987 5819 a Fq(n)k Fs(\025)g Fu(0)3007 5919 y(ev)n(en)p
3270 5949 V 3355 5870 a(3)p 3478 5949 V 3563 5869 a([\(3)3660
5839 y Fo(+)3715 5869 y Fq(;)14 b Fs(\000)p Fq(\013)3870
5881 y Fo(10)3940 5869 y Fu(\))p Fq(;)g Fu(\(0)4083 5839
y Fp(\000)4139 5869 y Fq(;)g Fs(\000)p Fq(\013)4294 5881
y Fo(24)4363 5869 y Fu(\))p Fq(;)g Fu(\(7)4506 5839 y
Fo(+)4562 5869 y Fq(;)g(\013)4652 5881 y Fo(10)4722 5869
y Fu(\))p Fq(;)g Fu(\(4)4865 5839 y Fp(\000)4921 5869
y Fq(;)g Fs(\000)p Fq(\013)5076 5881 y Fo(10)5146 5869
y Fu(\)])p 5283 5949 V 5326 5870 a(84)j Fs(\001)i Fu(9)5511
5840 y Fr(n)5574 5870 y Fs(\000)f Fu(4)g Fs(\001)g Fu(5)5800
5840 y Fr(n)p 5885 5949 V 5928 5870 a Fu(706060)p 6388
5949 V 2904 5952 3486 4 v 2902 6151 4 200 v 2987 6022
a Fq(n)23 b Fs(\025)g Fu(1)3020 6121 y(o)r(dd)p 3270
6151 V 3355 6072 a(3)p 3478 6151 V 3563 6071 a([\(0)3660
6041 y Fo(+)3715 6071 y Fq(;)14 b Fs(\000)p Fq(\013)3870
6083 y Fo(12)3940 6071 y Fu(\))p Fq(;)g Fu(\(1)4083 6041
y Fp(\000)4139 6071 y Fq(;)g Fu(0\))p Fq(;)g Fu(\(4)4361
6041 y Fo(+)4415 6071 y Fq(;)g(\013)4505 6083 y Fo(12)4575
6071 y Fu(\))p Fq(;)g Fu(\(5)4718 6041 y Fp(\000)4774
6071 y Fq(;)g Fs(\000)p Fq(\013)4929 6083 y Fo(34)4999
6071 y Fu(\)])p 5283 6151 V 5326 6072 a(84)j Fs(\001)i
Fu(9)5511 6042 y Fr(n)5574 6072 y Fs(\000)f Fu(4)g Fs(\001)g
Fu(5)5800 6042 y Fr(n)p 5885 6151 V 5928 6072 a Fu(706060)p
6388 6151 V 2904 6155 3486 4 v 1947 5257 a
 currentpoint grestore moveto
 1947 5257
a 1905 5506 a Fu(46)p eop
%%Page: 47 47
47 46 bop 1905 5506 a Fu(47)p eop
%%Page: 48 48
48 47 bop 1674 66 a FB(T)p Fw(ABLE)33 b FB(X)g(\(a\))1191
191 y Fw(EXAMPLE)26 b(I)r(I:)g(P)-6 b(AR)g(TITION)24
b(OF)h(BASELINE)p 515 410 3297 4 v 513 513 4 104 v 584
483 a Fq(n)p 702 513 V 276 w(\020)952 453 y Fp(\003)p
1195 513 V 1253 483 a Fq(j)1292 453 y Fo(\()p Fr(n)p
Fo(\))p 1444 513 V 1520 483 a Fq(j)1559 453 y Fo(\()p
Fr(n)p Fo(+1\))p 1813 513 V 2085 483 a Fu(co)r(ordinates)p
2767 513 V 428 w(length)p 3311 513 V 251 w Fq(t)3435
495 y Fr(j)p 3560 513 V 3655 468 a Fu(~)3654 483 y Fq(t)3684
495 y Fr(j)p 3809 513 V 515 517 3297 4 v 515 533 V 513
1530 4 997 v 702 1530 V 1195 1530 V 1280 1051 a Fu(10)p
1444 1530 V 1589 603 a(|)1609 703 y(0)1609 802 y(1)1609
902 y(2)1609 1001 y(1)1609 1101 y(6)1609 1201 y(4)1609
1300 y(5)1609 1400 y(4)1609 1500 y(0)p 1813 1530 V 2165
603 a(\()p Fs(\000)p Fq(\034)5 b(;)14 b(\034)9 b Fu(\))2250
703 y(|)2041 802 y(\()p Fs(\000)p Fq(\034)c(;)14 b Fs(\000)p
Fu(2)j Fs(\000)h Fu(2)p Fq(\034)9 b Fu(\))2250 902 y(|)2073
1001 y(\()p Fs(\000)p Fq(\034)c(;)14 b Fu(1)k(+)g(2)p
Fq(\034)9 b Fu(\))2250 1101 y(|)2062 1201 y(\()p Fs(\000)p
Fq(\034)c(;)14 b Fs(\000)p Fu(1)j Fs(\000)h Fq(\034)9
b Fu(\))2250 1300 y(|)2073 1400 y(\()p Fs(\000)p Fq(\034)c(;)14
b Fu(2)k(+)g(3)p Fq(\034)9 b Fu(\))2250 1500 y(|)p 2767
1530 V 2999 603 a(|)2893 703 y Fs(\000)p Fu(2)18 b Fs(\000)g
Fu(3)p Fq(\034)3020 802 y Fu(0)2926 902 y(3)g(+)g(4)p
Fq(\034)3020 1001 y Fu(0)2893 1101 y Fs(\000)p Fu(2)g
Fs(\000)g Fu(3)p Fq(\034)3020 1201 y Fu(0)2926 1300 y(3)g(+)g(4)p
Fq(\034)3020 1400 y Fu(0)2893 1500 y Fs(\000)p Fu(2)g
Fs(\000)g Fu(3)p Fq(\034)p 3311 1530 V 3396 603 a Fu(|)3437
703 y(3)3437 802 y(3)3437 902 y(3)3396 1001 y(13)3437
1101 y(4)3437 1201 y(4)3437 1300 y(4)3396 1400 y(11)3396
1500 y(11)p 3560 1530 V 3645 603 a(|)3686 703 y(3)3686
802 y(3)3686 902 y(3)3686 1001 y(5)3686 1101 y(4)3686
1201 y(4)3686 1300 y(4)3686 1400 y(3)3686 1500 y(3)p
3809 1530 V 1196 1533 2615 4 v 513 1629 4 100 v 579 1599
a(\012)p 702 1629 V 219 w(\(0)p Fq(;)c Fu(0\))p 1195
1629 V 257 w(9)p 1444 1629 V 267 w(1)p 1813 1629 V 517
w(\()p Fs(\000)p Fq(\034)5 b(;)14 b Fu(0\))p 2767 1629
V 603 w(0)p 3311 1629 V 334 w(11)p 3560 1629 V 185 w(3)p
3809 1629 V 1196 1632 2615 4 v 513 2526 4 897 v 702 2526
V 1195 2526 V 1300 2097 a(8)p 1444 2526 V 1609 1699 a(2)1609
1799 y(1)1609 1898 y(6)1609 1998 y(4)1609 2097 y(6)1609
2197 y(1)1609 2297 y(2)1609 2396 y(1)1609 2496 y(0)p
1813 2526 V 2250 1699 a(|)2073 1799 y(\()p Fs(\000)p
Fq(\034)5 b(;)14 b Fu(3)k(+)g(4)p Fq(\034)9 b Fu(\))2250
1898 y(|)2094 1998 y(\()p Fs(\000)p Fq(\034)c(;)14 b
Fu(1)k(+)g Fq(\034)9 b Fu(\))2250 2097 y(|)2041 2197
y(\()p Fs(\000)p Fq(\034)c(;)14 b Fs(\000)p Fu(1)j Fs(\000)h
Fu(2)p Fq(\034)9 b Fu(\))2250 2297 y(|)2073 2396 y(\()p
Fs(\000)p Fq(\034)c(;)14 b Fu(2)k(+)g(2)p Fq(\034)9 b
Fu(\))2250 2496 y(|)p 2767 2526 V 2926 1699 a(3)18 b(+)g(4)p
Fq(\034)3020 1799 y Fu(0)2893 1898 y Fs(\000)p Fu(2)g
Fs(\000)g Fu(3)p Fq(\034)3020 1998 y Fu(0)2893 2097 y
Fs(\000)p Fu(2)g Fs(\000)g Fu(3)p Fq(\034)3020 2197 y
Fu(0)2926 2297 y(3)g(+)g(4)p Fq(\034)3020 2396 y Fu(0)2893
2496 y Fs(\000)p Fu(2)g Fs(\000)g Fu(3)p Fq(\034)p 3311
2526 V 3396 1699 a Fu(11)3396 1799 y(21)3396 1898 y(12)3437
1998 y(8)3437 2097 y(8)3396 2197 y(17)3437 2297 y(7)3437
2396 y(7)3437 2496 y(7)p 3560 2526 V 3665 1699 a(3)3665
1799 y(7)3665 1898 y(4)3665 1998 y(0)3665 2097 y(0)3665
2197 y(1)3665 2297 y(7)3665 2396 y(7)3665 2496 y(7)p
3809 2526 V 1196 2529 2615 4 v 513 2625 4 100 v 702 2625
V 1195 2625 V 1300 2596 a(7)p 1444 2625 V 267 w(4)p 1813
2625 V 482 w(\()p Fs(\000)p Fq(\034)5 b(;)14 b Fs(\000)p
Fq(\034)9 b Fu(\))p 2767 2625 V 570 w(0)p 3311 2625 V
354 w(7)p 3560 2625 V 207 w(7)p 3809 2625 V 515 2629
3297 4 v 513 3426 4 798 v 702 3426 V 1195 3426 V 1300
3047 a(2)p 1444 3426 V 1589 2698 a(|)1609 2798 y(5)1609
2898 y(2)1609 2997 y(5)1609 3097 y(4)1609 3197 y(3)1609
3296 y(2)1609 3396 y(1)p 1813 3426 V 2168 2698 a(\()p
Fs(\000)p Fq(\034)c(;)14 b Fu(0\))2250 2798 y(|)1976
2898 y(\(5)19 b(+)f(6)p Fq(\034)5 b(;)14 b Fs(\000)p
Fu(7)j Fs(\000)h Fu(10)p Fq(\034)2250 2997 y Fu(|)1898
3097 y(\(10)g(+)g(13)p Fq(\034)5 b(;)14 b Fs(\000)p Fu(14)i
Fs(\000)i Fu(20)p Fq(\034)9 b Fu(\))2250 3197 y(|)1981
3296 y(\()p Fs(\000)p Fu(2)18 b Fs(\000)g Fu(4)p Fq(\034)5
b(;)14 b Fu(3)j(+)h(4)p Fq(\034)9 b Fu(\))2250 3396 y(|)p
2767 3426 V 2999 2698 a(|)2926 2798 y(5)18 b(+)g(7)p
Fq(\034)3020 2898 y Fu(0)2926 2997 y(5)g(+)g(7)p Fq(\034)3020
3097 y Fu(0)2852 3197 y Fs(\000)p Fu(12)f Fs(\000)h Fu(17)p
Fq(\034)3020 3296 y Fu(0)2926 3396 y(5)g(+)g(7)p Fq(\034)p
3311 3426 V 3396 2698 a Fu(|)3437 2798 y(5)3437 2898
y(7)3396 2997 y(14)3396 3097 y(13)3396 3197 y(10)3437
3296 y(9)3437 3396 y(4)p 3560 3426 V 3645 2698 a(|)3686
2798 y(5)3686 2898 y(7)3686 2997 y(1)3686 3097 y(2)3686
3197 y(0)3686 3296 y(0)3686 3396 y(4)p 3809 3426 V 1196
3429 2615 4 v 513 3525 4 100 v 556 3495 a Fs(\000)p Fu(1)p
702 3525 V 82 w(\()p Fs(\000)p Fu(1)g Fs(\000)g Fq(\034)5
b(;)28 b(\034)9 b Fu(\))p 1195 3525 V 146 w(1)p 1444
3525 V 267 w(4)p 1813 3525 V 330 w(\(3)18 b(+)g(3)p Fq(\034)5
b(;)14 b Fs(\000)p Fu(4)j Fs(\000)h Fu(6)p Fq(\034)9
b Fu(\))p 2767 3525 V 418 w(0)p 3311 3525 V 354 w(4)p
3560 3525 V 207 w(4)p 3809 3525 V 1196 3529 2615 4 v
513 4123 4 598 v 702 4123 V 1195 4123 V 1300 3844 a(0)p
1444 4123 V 1609 3595 a(7)1609 3695 y(2)1609 3794 y(3)1609
3894 y(4)1609 3994 y(5)1589 4093 y(|)p 1813 4123 V 2250
3595 a(|)1919 3695 y(\(8)18 b(+)g(10)p Fq(\034)5 b(;)14
b Fs(\000)p Fu(11)i Fs(\000)i Fu(16)p Fq(\034)9 b Fu(\))2250
3794 y(|)1981 3894 y(\()p Fs(\000)p Fu(4)18 b Fs(\000)g
Fu(7)p Fq(\034)5 b(;)14 b Fu(6)j(+)h(8)p Fq(\034)9 b
Fu(\))2250 3994 y(|)2073 4093 y(\(1)p Fq(;)14 b Fs(\000)p
Fu(1)j Fs(\000)h Fu(2)p Fq(\034)9 b Fu(\))p 2767 4123
V 2926 3595 a(5)18 b(+)g(7)p Fq(\034)3020 3695 y Fu(0)2852
3794 y Fs(\000)p Fu(12)f Fs(\000)h Fu(17)p Fq(\034)3020
3894 y Fu(0)2926 3994 y(5)g(+)g(7)p Fq(\034)2999 4093
y Fu(|)p 3311 4123 V 3437 3595 a(4)3437 3695 y(4)3437
3794 y(4)3437 3894 y(7)3437 3994 y(8)3396 4093 y(|)p
3560 4123 V 3686 3595 a(4)3686 3695 y(4)3686 3794 y(4)3686
3894 y(6)3686 3994 y(5)3645 4093 y(|)p 3809 4123 V 1196
4126 2615 4 v 513 4339 4 217 v 702 4339 V 1195 4339 V
1300 4252 a(5)p 1444 4339 V 1589 4193 a(|)1529 4309 y(\005)1591
4266 y Fo(\()p Fp(\000)p Fo(1\))1591 4332 y(1)p 1813
4339 V 2075 4201 a Fu(\()p Fs(\000)p Fu(1)g Fs(\000)g
Fu(2)p Fq(\034)5 b(;)14 b Fu(0\))2250 4301 y(|)p 2767
4339 V 2999 4201 a(|)2926 4301 y(3)k(+)g(4)p Fq(\034)p
3311 4339 V 3396 4201 a Fu(|)3396 4301 y(|)p 3560 4339
V 3645 4201 a(|)3645 4301 y(|)p 3809 4339 V 1196 4343
2615 4 v 513 4439 4 100 v 702 4439 V 1195 4439 V 1300
4409 a(4)p 1444 4439 V 267 w(2)p 1813 4439 V 330 w(\()p
Fs(\000)p Fu(1)g Fs(\000)g Fu(2)p Fq(\034)5 b(;)14 b
Fu(3)j(+)h(4)p Fq(\034)9 b Fu(\))p 2767 4439 V 418 w(0)p
3311 4439 V 354 w(8)p 3560 4439 V 207 w(3)p 3809 4439
V 1196 4442 2615 4 v 513 5037 4 598 v 702 5037 V 1195
5037 V 1300 4758 a(6)p 1444 5037 V 1609 4509 a(1)1609
4608 y(4)1609 4708 y(7)1609 4808 y(2)1609 4907 y(3)1589
5007 y(|)p 1813 5037 V 2250 4509 a(|)1960 4608 y(\()p
Fs(\000)p Fu(1)18 b Fs(\000)g Fu(2)p Fq(\034)5 b(;)14
b Fu(8)j(+)h(11)p Fq(\034)9 b Fu(\))2250 4708 y(|)1939
4808 y(\()p Fs(\000)p Fu(1)18 b Fs(\000)g Fu(2)p Fq(\034)5
b(;)14 b Fu(13)j(+)h(18)p Fq(\034)9 b Fu(\))2250 4907
y(|)2002 5007 y(\()p Fs(\000)p Fu(1)18 b Fs(\000)g Fu(2)p
Fq(\034)5 b(;)14 b Fu(1)j(+)h Fq(\034)9 b Fu(\))p 2767
5037 V 2926 4509 a(5)18 b(+)g(7)p Fq(\034)3020 4608 y
Fu(0)2926 4708 y(5)g(+)g(7)p Fq(\034)3020 4808 y Fu(0)2852
4907 y Fs(\000)p Fu(12)f Fs(\000)h Fu(17)p Fq(\034)2999
5007 y Fu(|)p 3311 5037 V 3437 4509 a(1)3437 4608 y(1)3437
4708 y(1)3437 4808 y(1)3437 4907 y(1)3396 5007 y(|)p
3560 5037 V 3686 4509 a(3)3686 4608 y(3)3686 4708 y(3)3686
4808 y(3)3686 4907 y(3)3645 5007 y(|)p 3809 5037 V 515
5040 3297 4 v 1905 5506 a(48)p eop
%%Page: 49 49
49 48 bop 1671 167 a FB(T)p Fw(ABLE)34 b FB(X)e(\(b\))1191
292 y Fw(EXAMPLE)26 b(I)r(I:)g(P)-6 b(AR)g(TITION)24
b(OF)h(BASELINE)p 515 511 3081 4 v 513 615 4 104 v 674
585 a Fq(n)p 881 615 V 358 w(\020)1124 555 y Fp(\003)p
1360 615 V 1403 585 a Fq(j)1442 555 y Fo(\()p Fr(n)p
Fo(\))p 1579 615 V 1633 585 a Fq(j)1672 555 y Fo(\()p
Fr(n)p Fo(+1\))p 1904 615 V 2075 585 a Fu(co)r(ordinates)p
2655 615 V 274 w(length)p 3095 615 V 199 w Fq(t)3219
597 y Fr(j)p 3344 615 V 3439 569 a Fu(~)3438 585 y Fq(t)3468
597 y Fr(j)p 3593 615 V 515 618 3081 4 v 515 635 V 513
1232 4 598 v 881 1232 V 1360 1232 V 1450 953 a Fu(3)p
1579 1232 V 1702 704 a(|)1723 804 y(7)1723 904 y(2)1723
1003 y(3)1723 1103 y(4)1723 1202 y(5)p 1904 1232 V 2106
704 a(\()p Fs(\000)p Fq(\013)2256 716 y Fo(0)p Fr(;)p
Fo(1)2346 704 y Fq(;)14 b Fu(0\))2240 804 y(|)2049 904
y(\()p Fq(\013)2134 916 y Fo(56)2204 904 y Fq(;)g Fs(\000)p
Fq(\013)2359 916 y Fo(7)p Fr(;)p Fo(10)2482 904 y Fu(\))2240
1003 y(|)2006 1103 y(\()p Fs(\000)p Fq(\013)2156 1115
y Fo(7)p Fr(;)p Fo(11)2279 1103 y Fq(;)g(\013)2369 1115
y Fo(10)p Fr(;)p Fo(14)2525 1103 y Fu(\))2240 1202 y(|)p
2655 1232 V 2835 704 a(|)2805 804 y Fq(\013)2858 816
y Fo(5)p Fr(;)p Fo(7)2856 904 y Fu(0)2740 1003 y Fs(\000)p
Fq(\013)2858 1015 y Fo(12)p Fr(;)p Fo(17)2856 1103 y
Fu(0)2805 1202 y Fq(\013)2858 1214 y Fo(5)p Fr(;)p Fo(7)p
3095 1232 V 3180 704 a Fu(|)3180 804 y(16)3180 904 y(34)3180
1003 y(36)3180 1103 y(36)3180 1202 y(36)p 3344 1232 V
3429 704 a(|)3470 804 y(5)3470 904 y(0)3470 1003 y(0)3470
1103 y(0)3470 1202 y(0)p 3593 1232 V 1362 1236 2234 4
v 513 1332 4 100 v 881 1332 V 1360 1332 V 1450 1302 a(2)p
1579 1332 V 231 w(2)p 1904 1332 V 310 w(\()p Fs(\000)p
Fq(\013)2225 1314 y Fo(24)2295 1302 y Fq(;)g(\013)2385
1314 y Fo(34)2456 1302 y Fu(\))p 2655 1332 V 368 w(0)p
3095 1332 V 282 w(11)p 3344 1332 V 186 w(1)p 3593 1332
V 1362 1335 2234 4 v 513 2046 4 715 v 881 2046 V 1360
2046 V 1450 1709 a(7)p 1579 2046 V 1664 1419 a(\005)1726
1376 y Fo(\()p Fr(n)p Fo(\))1726 1441 y(3)1723 1518 y
Fu(2)1723 1618 y(1)1723 1718 y(4)1723 1817 y(7)1723 1917
y(2)1723 2016 y(3)p 1904 2046 V 2240 1410 a(|)2075 1510
y(\()p Fq(\013)2160 1522 y Fo(10)2231 1510 y Fq(;)g Fs(\000)p
Fq(\013)2386 1522 y Fo(12)2456 1510 y Fu(\))2240 1609
y(|)2049 1709 y(\()p Fq(\013)2134 1721 y Fo(67)2204 1709
y Fq(;)g Fs(\000)p Fq(\013)2359 1721 y Fo(8)p Fr(;)p
Fo(12)2482 1709 y Fu(\))2240 1809 y(|)1989 1908 y(\()p
Fq(\013)2074 1920 y Fo(11)p Fr(;)p Fo(14)2231 1908 y
Fq(;)g Fs(\000)p Fq(\013)2386 1920 y Fo(15)p Fr(;)p Fo(22)2542
1908 y Fu(\))2240 2008 y(|)p 2655 2046 V 2815 1410 a
Fq(\013)2868 1422 y Fo(34)2856 1510 y Fu(0)2815 1609
y Fq(\013)2868 1621 y Fo(57)2856 1709 y Fu(0)2815 1809
y Fq(\013)2868 1821 y Fo(57)2856 1908 y Fu(0)2740 2008
y Fs(\000)p Fq(\013)2858 2020 y Fo(12)p Fr(;)p Fo(17)p
3095 2046 V 3180 1510 a Fu(13)3180 1609 y(18)3180 1709
y(68)3180 1809 y(32)3180 1908 y(50)3180 2008 y(52)p 3344
2046 V 3450 1510 a(0)3450 1609 y(4)3450 1709 y(2)3450
1809 y(5)3450 1908 y(0)3450 2008 y(0)p 3593 2046 V 1362
2050 2234 4 v 513 2146 4 100 v 881 2146 V 1360 2146 V
1450 2116 a(4)p 1579 2146 V 231 w(4)p 1904 2146 V 310
w(\()p Fs(\000)p Fq(\013)2225 2128 y Fo(13)2295 2116
y Fq(;)g(\013)2385 2128 y Fo(22)2456 2116 y Fu(\))p 2655
2146 V 368 w(0)p 3095 2146 V 282 w(52)p 3344 2146 V 186
w(0)p 3593 2146 V 1362 2149 2234 4 v 513 3441 4 1296
v 598 2764 a Fq(n)23 b Fs(\025)f Fu(0)618 2863 y(ev)n(en)p
881 3441 V 924 2814 a(\()p Fs(\000)p Fu(1)c Fs(\000)g
Fq(\034)5 b(;)14 b(\034)9 b Fu(\))p 1360 3441 V 1450
2813 a(1)p 1579 3441 V 1723 2216 a(5)1723 2315 y(2)1723
2415 y(5)1723 2515 y(4)1723 2614 y(3)1723 2714 y(2)1723
2813 y(1)1723 2913 y(4)1723 3013 y(7)1723 3112 y(2)1723
3212 y(3)1723 3312 y(4)1723 3411 y(5)p 1904 3441 V 2240
2216 a(|)2075 2315 y(\()p Fq(\013)2160 2327 y Fo(44)2231
2315 y Fq(;)14 b Fs(\000)p Fq(\013)2386 2327 y Fo(58)2456
2315 y Fu(\))2240 2415 y(|)2006 2515 y(\()p Fq(\013)2091
2527 y Fo(9)p Fr(;)p Fo(11)2214 2515 y Fq(;)g Fs(\000)p
Fq(\013)2369 2527 y Fo(12)p Fr(;)p Fo(18)2525 2515 y
Fu(\))2240 2614 y(|)2075 2714 y(\()p Fs(\000)p Fq(\013)2225
2726 y Fo(36)2295 2714 y Fq(;)g(\013)2385 2726 y Fo(56)2456
2714 y Fu(\))2240 2813 y(|)2075 2913 y(\()p Fq(\013)2160
2925 y Fo(21)2231 2913 y Fq(;)g Fs(\000)p Fq(\013)2386
2925 y Fo(24)2456 2913 y Fu(\))2240 3013 y(|)2049 3112
y(\()p Fq(\013)2134 3124 y Fo(78)2204 3112 y Fq(;)g Fs(\000)p
Fq(\013)2359 3124 y Fo(9)p Fr(;)p Fo(14)2482 3112 y Fu(\))2240
3212 y(|)2049 3312 y(\()p Fs(\000)p Fq(\013)2199 3324
y Fo(59)2269 3312 y Fq(;)g(\013)2359 3324 y Fo(8)p Fr(;)p
Fo(10)2482 3312 y Fu(\))2240 3411 y(|)p 2655 3441 V 2815
2216 a Fq(\013)2868 2228 y Fo(57)2856 2315 y Fu(0)2815
2415 y Fq(\013)2868 2427 y Fo(57)2856 2515 y Fu(0)2740
2614 y Fs(\000)p Fq(\013)2858 2626 y Fo(12)p Fr(;)p Fo(17)2856
2714 y Fu(0)2815 2813 y Fq(\013)2868 2825 y Fo(57)2856
2913 y Fu(0)2815 3013 y Fq(\013)2868 3025 y Fo(57)2856
3112 y Fu(0)2740 3212 y Fs(\000)p Fq(\013)2858 3224 y
Fo(12)p Fr(;)p Fo(17)2856 3312 y Fu(0)2815 3411 y Fq(\013)2868
3423 y Fo(57)p 3095 3441 V 3180 2216 a Fu(52)3180 2315
y(20)3221 2415 y(7)3221 2515 y(7)3221 2614 y(7)3221 2714
y(7)3221 2813 y(7)3180 2913 y(57)3180 3013 y(21)3180
3112 y(39)3180 3212 y(41)3180 3312 y(41)3180 3411 y(41)p
3344 3441 V 3450 2216 a(0)3450 2315 y(5)3450 2415 y(4)3450
2515 y(4)3450 2614 y(4)3450 2714 y(4)3450 2813 y(4)3450
2913 y(2)3450 3013 y(5)3450 3112 y(0)3450 3212 y(0)3450
3312 y(0)3450 3411 y(0)p 3593 3441 V 1362 3444 2234 4
v 513 4935 4 1495 v 881 4935 V 1360 4935 V 1450 4208
a(5)p 1579 4935 V 1702 3511 a(|)1723 3610 y(1)1723 3710
y(4)1723 3810 y(7)1723 3909 y(2)1723 4009 y(3)1723 4109
y(4)1723 4208 y(5)1723 4308 y(2)1723 4407 y(5)1723 4507
y(4)1723 4607 y(3)1723 4706 y(2)1723 4806 y(1)1702 4906
y(|)p 1904 4935 V 2116 3511 a(\()p Fs(\000)p Fq(\013)2266
3523 y Fo(12)2336 3511 y Fq(;)g Fu(0\))2240 3610 y(|)2075
3710 y(\()p Fs(\000)p Fq(\013)2225 3722 y Fo(12)2295
3710 y Fq(;)g(\013)2385 3722 y Fo(57)2456 3710 y Fu(\))2240
3810 y(|)2032 3909 y(\()p Fs(\000)p Fq(\013)2182 3921
y Fo(12)2252 3909 y Fq(;)g(\013)2342 3921 y Fo(10)p Fr(;)p
Fo(14)2499 3909 y Fu(\))2240 4009 y(|)2043 4109 y(\()p
Fs(\000)p Fq(\013)2193 4121 y Fo(12)2263 4109 y Fq(;)g
Fs(\000)p Fq(\013)2418 4121 y Fo(23)2488 4109 y Fu(\))2240
4208 y(|)2075 4308 y(\()p Fs(\000)p Fq(\013)2225 4320
y Fo(12)2295 4308 y Fq(;)g(\013)2385 4320 y Fo(34)2456
4308 y Fu(\))2240 4407 y(|)2049 4507 y(\()p Fs(\000)p
Fq(\013)2199 4519 y Fo(12)2269 4507 y Fq(;)g(\013)2359
4519 y Fo(8)p Fr(;)p Fo(11)2482 4507 y Fu(\))2240 4607
y(|)2043 4706 y(\()p Fs(\000)p Fq(\013)2193 4718 y Fo(12)2263
4706 y Fq(;)g Fs(\000)p Fq(\013)2418 4718 y Fo(46)2488
4706 y Fu(\))2240 4806 y(|)2075 4906 y(\()p Fs(\000)p
Fq(\013)2225 4918 y Fo(12)2295 4906 y Fq(;)g(\013)2385
4918 y Fo(11)2456 4906 y Fu(\))p 2655 4935 V 2835 3511
a(|)2815 3610 y Fq(\013)2868 3622 y Fo(57)2856 3710 y
Fu(0)2815 3810 y Fq(\013)2868 3822 y Fo(57)2856 3909
y Fu(0)2740 4009 y Fs(\000)p Fq(\013)2858 4021 y Fo(12)p
Fr(;)p Fo(17)2856 4109 y Fu(0)2815 4208 y Fq(\013)2868
4220 y Fo(57)2856 4308 y Fu(0)2815 4407 y Fq(\013)2868
4419 y Fo(57)2856 4507 y Fu(0)2740 4607 y Fs(\000)p Fq(\013)2858
4619 y Fo(12)p Fr(;)p Fo(17)2856 4706 y Fu(0)2815 4806
y Fq(\013)2868 4818 y Fo(57)2835 4906 y Fu(|)p 3095 4935
V 3180 3511 a(|)3180 3610 y(13)3180 3710 y(63)3180 3810
y(27)3180 3909 y(45)3180 4009 y(47)3180 4109 y(47)3180
4208 y(47)3180 4308 y(15)3221 4407 y(2)3221 4507 y(2)3221
4607 y(2)3221 4706 y(2)3221 4806 y(2)3180 4906 y(|)p
3344 4935 V 3429 3511 a(|)3470 3610 y(3)3470 3710 y(1)3470
3810 y(4)3470 3909 y(7)3470 4009 y(7)3470 4109 y(7)3470
4208 y(7)3470 4308 y(4)3470 4407 y(3)3470 4507 y(3)3470
4607 y(3)3470 4706 y(3)3470 4806 y(3)3429 4906 y(|)p
3593 4935 V 515 4939 3081 4 v 1905 5506 a(49)p eop
%%Page: 50 50
50 49 bop 1677 117 a FB(T)p Fw(ABLE)33 b FB(X)g(\(c\))1191
242 y Fw(EXAMPLE)26 b(I)r(I:)g(P)-6 b(AR)g(TITION)24
b(OF)h(BASELINE)p 515 461 3081 4 v 513 565 4 104 v 674
535 a Fq(n)p 881 565 V 358 w(\020)1124 505 y Fp(\003)p
1360 565 V 1403 535 a Fq(j)1442 505 y Fo(\()p Fr(n)p
Fo(\))p 1579 565 V 1633 535 a Fq(j)1672 505 y Fo(\()p
Fr(n)p Fo(+1\))p 1904 565 V 2075 535 a Fu(co)r(ordinates)p
2655 565 V 274 w(length)p 3095 565 V 199 w Fq(t)3219
547 y Fr(j)p 3344 565 V 3439 520 a Fu(~)3438 535 y Fq(t)3468
547 y Fr(j)p 3593 565 V 515 568 3081 4 v 515 585 V 513
1979 4 1395 v 881 1979 V 1360 1979 V 1450 1302 a Fu(1)p
1579 1979 V 1702 654 a(|)1723 754 y(5)1723 854 y(2)1723
953 y(5)1723 1053 y(4)1723 1153 y(3)1723 1252 y(2)1723
1352 y(1)1723 1451 y(4)1723 1551 y(7)1723 1651 y(2)1723
1750 y(3)1723 1850 y(4)1723 1950 y(5)p 1904 1979 V 2106
654 a(\()p Fs(\000)p Fq(\013)2256 666 y Fo(0)p Fr(;)p
Fo(1)2346 654 y Fq(;)14 b Fu(0\))2240 754 y(|)2049 854
y(\()p Fq(\013)2134 866 y Fo(56)2204 854 y Fq(;)g Fs(\000)p
Fq(\013)2359 866 y Fo(7)p Fr(;)p Fo(10)2482 854 y Fu(\))2240
953 y(|)1989 1053 y(\()p Fq(\013)2074 1065 y Fo(10)p
Fr(;)p Fo(13)2231 1053 y Fq(;)g Fs(\000)p Fq(\013)2386
1065 y Fo(14)p Fr(;)p Fo(20)2542 1053 y Fu(\))2240 1153
y(|)2075 1252 y(\()p Fs(\000)p Fq(\013)2225 1264 y Fo(21)2295
1252 y Fq(;)g(\013)2385 1264 y Fo(34)2456 1252 y Fu(\))2240
1352 y(|)2075 1451 y(\()p Fq(\013)2160 1463 y Fo(33)2231
1451 y Fq(;)g Fs(\000)p Fq(\013)2386 1463 y Fo(46)2456
1451 y Fu(\))2240 1551 y(|)2006 1651 y(\()p Fq(\013)2091
1663 y Fo(8)p Fr(;)p Fo(10)2214 1651 y Fq(;)g Fs(\000)p
Fq(\013)2369 1663 y Fo(11)p Fr(;)p Fo(16)2525 1651 y
Fu(\))2240 1750 y(|)2075 1850 y(\()p Fs(\000)p Fq(\013)2225
1862 y Fo(47)2295 1850 y Fq(;)g(\013)2385 1862 y Fo(68)2456
1850 y Fu(\))2240 1950 y(|)p 2655 1979 V 2835 654 a(|)2815
754 y Fq(\013)2868 766 y Fo(57)2856 854 y Fu(0)2815 953
y Fq(\013)2868 965 y Fo(57)2856 1053 y Fu(0)2740 1153
y Fs(\000)p Fq(\013)2858 1165 y Fo(12)p Fr(;)p Fo(17)2856
1252 y Fu(0)2815 1352 y Fq(\013)2868 1364 y Fo(57)2856
1451 y Fu(0)2815 1551 y Fq(\013)2868 1563 y Fo(57)2856
1651 y Fu(0)2740 1750 y Fs(\000)p Fq(\013)2858 1762 y
Fo(12)p Fr(;)p Fo(17)2856 1850 y Fu(0)2815 1950 y Fq(\013)2868
1962 y Fo(57)p 3095 1979 V 3180 654 a Fu(|)3180 754 y(16)3180
854 y(32)3180 953 y(61)3180 1053 y(63)3180 1153 y(47)3180
1252 y(45)3180 1352 y(13)3180 1451 y(13)3180 1551 y(13)3180
1651 y(13)3180 1750 y(13)3180 1850 y(29)3180 1950 y(27)p
3344 1979 V 3429 654 a(|)3470 754 y(5)3470 854 y(7)3470
953 y(1)3470 1053 y(2)3470 1153 y(4)3470 1252 y(0)3470
1352 y(4)3470 1451 y(4)3470 1551 y(4)3470 1651 y(4)3470
1750 y(4)3470 1850 y(6)3470 1950 y(5)p 3593 1979 V 1362
1983 2234 4 v 513 2079 4 100 v 881 2079 V 1360 2079 V
1450 2049 a(2)p 1579 2079 V 231 w(2)p 1904 2079 V 268
w(\()p Fs(\000)p Fq(\013)2183 2061 y Fo(1)p Fr(;)p Fo(0)2273
2049 y Fq(;)g Fs(\000)p Fq(\013)2428 2061 y Fo(12)2498
2049 y Fu(\))p 2655 2079 V 326 w(0)p 3095 2079 V 282
w(41)p 3344 2079 V 186 w(7)p 3593 2079 V 1362 2082 2234
4 v 513 2577 4 499 v 598 2298 a Fq(n)23 b Fs(\025)f Fu(1)631
2398 y(o)r(dd)p 881 2577 V 924 2349 a(\()p Fs(\000)p
Fu(1)c Fs(\000)g Fq(\034)5 b(;)14 b(\034)9 b Fu(\))p
1360 2577 V 1450 2348 a(3)p 1579 2577 V 1723 2149 a(5)1723
2248 y(4)1723 2348 y(3)1723 2448 y(2)1723 2547 y(7)p
1904 2577 V 2240 2149 a(|)2049 2248 y(\()p Fq(\013)2134
2260 y Fo(67)2204 2248 y Fq(;)14 b Fs(\000)p Fq(\013)2359
2260 y Fo(8)p Fr(;)p Fo(12)2482 2248 y Fu(\))2240 2348
y(|)2022 2448 y(\()p Fs(\000)p Fq(\013)2172 2460 y Fo(6)p
Fr(;)p Fo(10)2295 2448 y Fq(;)g(\013)2385 2460 y Fo(9)p
Fr(;)p Fo(12)2508 2448 y Fu(\))2240 2547 y(|)p 2655 2577
V 2815 2149 a Fq(\013)2868 2161 y Fo(57)2856 2248 y Fu(0)2740
2348 y Fs(\000)p Fq(\013)2858 2360 y Fo(12)p Fr(;)p Fo(17)2856
2448 y Fu(0)2815 2547 y Fq(\013)2868 2559 y Fo(57)p 3095
2577 V 3180 2149 a Fu(32)3180 2248 y(34)3180 2348 y(18)3180
2448 y(18)3180 2547 y(18)p 3344 2577 V 3450 2149 a(1)3450
2248 y(2)3450 2348 y(0)3450 2448 y(0)3450 2547 y(0)p
3593 2577 V 1362 2581 2234 4 v 513 2677 4 100 v 881 2677
V 1360 2677 V 1450 2647 a(4)p 1579 2677 V 231 w(4)p 1904
2677 V 310 w(\()p Fs(\000)p Fq(\013)2225 2659 y Fo(13)2295
2647 y Fq(;)g(\013)2385 2659 y Fo(22)2456 2647 y Fu(\))p
2655 2677 V 368 w(0)p 3095 2677 V 282 w(18)p 3344 2677
V 186 w(0)p 3593 2677 V 1362 2680 2234 4 v 513 4072 4
1395 v 881 4072 V 1360 4072 V 1450 3394 a(5)p 1579 4072
V 1723 2747 a(1)1723 2846 y(2)1723 2946 y(3)1723 3045
y(4)1723 3145 y(5)1723 3245 y(2)1723 3344 y(5)1723 3444
y(4)1723 3544 y(3)1723 3643 y(2)1723 3743 y(7)1723 3843
y(4)1723 3942 y(1)1702 4042 y(|)p 1904 4072 V 2240 2747
a(|)2075 2846 y(\()p Fq(\013)2160 2858 y Fo(44)2231 2846
y Fq(;)g Fs(\000)p Fq(\013)2386 2858 y Fo(58)2456 2846
y Fu(\))2240 2946 y(|)2006 3045 y(\()p Fs(\000)p Fq(\013)2156
3057 y Fo(8)p Fr(;)p Fo(13)2279 3045 y Fq(;)g(\013)2369
3057 y Fo(12)p Fr(;)p Fo(16)2525 3045 y Fu(\))2240 3145
y(|)2075 3245 y(\()p Fs(\000)p Fq(\013)2225 3257 y Fo(36)2295
3245 y Fq(;)g(\013)2385 3257 y Fo(56)2456 3245 y Fu(\))2240
3344 y(|)2075 3444 y(\()p Fq(\013)2160 3456 y Fo(21)2231
3444 y Fq(;)g Fs(\000)p Fq(\013)2386 3456 y Fo(24)2456
3444 y Fu(\))2240 3544 y(|)1989 3643 y(\()p Fs(\000)p
Fq(\013)2139 3655 y Fo(10)p Fr(;)p Fo(16)2295 3643 y
Fq(;)g(\013)2385 3655 y Fo(15)p Fr(;)p Fo(20)2542 3643
y Fu(\))2240 3743 y(|)2049 3843 y(\()p Fs(\000)p Fq(\013)2199
3855 y Fo(59)2269 3843 y Fq(;)g(\013)2359 3855 y Fo(8)p
Fr(;)p Fo(10)2482 3843 y Fu(\))2240 3942 y(|)2075 4042
y(\()p Fs(\000)p Fq(\013)2225 4054 y Fo(02)2295 4042
y Fq(;)g(\013)2385 4054 y Fo(10)2456 4042 y Fu(\))p 2655
4072 V 2815 2747 a Fq(\013)2868 2759 y Fo(57)2856 2846
y Fu(0)2740 2946 y Fs(\000)p Fq(\013)2858 2958 y Fo(12)p
Fr(;)p Fo(17)2856 3045 y Fu(0)2815 3145 y Fq(\013)2868
3157 y Fo(57)2856 3245 y Fu(0)2815 3344 y Fq(\013)2868
3356 y Fo(57)2856 3444 y Fu(0)2740 3544 y Fs(\000)p Fq(\013)2858
3556 y Fo(12)p Fr(;)p Fo(17)2856 3643 y Fu(0)2815 3743
y Fq(\013)2868 3755 y Fo(57)2856 3843 y Fu(0)2815 3942
y Fq(\013)2868 3954 y Fo(57)2835 4042 y Fu(|)p 3095 4072
V 3180 2747 a(18)3180 2846 y(50)3180 2946 y(52)3180 3045
y(68)3180 3145 y(66)3180 3245 y(37)3180 3344 y(21)3180
3444 y(23)3221 3544 y(7)3221 3643 y(7)3221 3743 y(7)3221
3843 y(7)3221 3942 y(7)3180 4042 y(|)p 3344 4072 V 3470
2747 a(0)3470 2846 y(4)3470 2946 y(0)3470 3045 y(6)3470
3145 y(5)3470 3245 y(3)3470 3344 y(1)3470 3444 y(2)3470
3544 y(0)3470 3643 y(0)3470 3743 y(0)3470 3843 y(0)3470
3942 y(0)3429 4042 y(|)p 3593 4072 V 1362 4075 2234 4
v 513 4985 4 914 v 881 4985 V 1360 4985 V 1450 4548 a(7)p
1579 4985 V 1702 4141 a(|)1664 4258 y(\005)1726 4215
y Fo(\()p Fr(n)p Fo(\))1726 4280 y(3)1723 4358 y Fu(2)1723
4457 y(1)1723 4557 y(4)1723 4656 y(7)1723 4756 y(2)1723
4856 y(3)1702 4955 y(|)p 1904 4985 V 2116 4150 a(\()p
Fs(\000)p Fq(\013)2266 4162 y Fo(12)2336 4150 y Fq(;)g
Fu(0\))2240 4249 y(|)2075 4349 y(\()p Fs(\000)p Fq(\013)2225
4361 y Fo(12)2295 4349 y Fq(;)g(\013)2385 4361 y Fo(34)2456
4349 y Fu(\))2240 4449 y(|)2049 4548 y(\()p Fs(\000)p
Fq(\013)2199 4560 y Fo(12)2269 4548 y Fq(;)g(\013)2359
4560 y Fo(8)p Fr(;)p Fo(11)2482 4548 y Fu(\))2240 4648
y(|)2032 4748 y(\()p Fs(\000)p Fq(\013)2182 4760 y Fo(12)2252
4748 y Fq(;)g(\013)2342 4760 y Fo(13)p Fr(;)p Fo(18)2499
4748 y Fu(\))2240 4847 y(|)2075 4947 y(\()p Fs(\000)p
Fq(\013)2225 4959 y Fo(12)2295 4947 y Fq(;)g(\013)2385
4959 y Fo(11)2456 4947 y Fu(\))p 2655 4985 V 2835 4150
a(|)2815 4249 y Fq(\013)2868 4261 y Fo(34)2856 4349 y
Fu(0)2815 4449 y Fq(\013)2868 4461 y Fo(57)2856 4548
y Fu(0)2815 4648 y Fq(\013)2868 4660 y Fo(57)2856 4748
y Fu(0)2740 4847 y Fs(\000)p Fq(\013)2858 4859 y Fo(12)p
Fr(;)p Fo(17)2835 4947 y Fu(|)p 3095 4985 V 3180 4150
a(|)3180 4249 y(|)3180 4349 y(39)3221 4449 y(2)3221 4548
y(2)3221 4648 y(2)3221 4748 y(2)3221 4847 y(2)3180 4947
y(|)p 3344 4985 V 3429 4150 a(|)3429 4249 y(|)3470 4349
y(3)3470 4449 y(3)3470 4548 y(3)3470 4648 y(3)3470 4748
y(3)3470 4847 y(3)3429 4947 y(|)p 3593 4985 V 515 4989
3081 4 v 1905 5506 a(50)p eop
%%Page: 51 51
51 50 bop 515 -60 a Fv(References)556 122 y Fu([1])41
b(R.)34 b(Adler,)h(B.)f(Kitc)n(hens)f(and)g(C.)h(T)-7
b(resser,)33 b(Dynamics)h(of)f(nonergo)r(dic)f(piecewise)685
222 y(a\016ne)c(maps)f(of)h(the)g(torus,)e Fb(Ergo)r(d.)h(Th.)h(and)f
(Dynam.)h(Sys.)f Ft(21)g Fu(\(2001\))g(959{999.)556 388
y([2])41 b(T.)34 b(M.)g(Ap)r(ostol,)h(In)n(tro)r(duction)f(to)f
(analytic)g(n)n(um)n(b)r(er)h(theory)-7 b(,)34 b(Springer)f(V)-7
b(erlag,)685 487 y(\(1976\).)556 653 y([3])41 b(P)-7
b(.)32 b(Ash)n(win,)h(Elliptic)f(b)r(eha)n(viour)e(in)i(the)g(sa)n(wto)
r(oth)f(standard)g(map,)i Fb(Ph)n(ys.)e(Lett.)685 753
y(A)d Ft(232)f Fu(\(1997\))g(409{416.)556 919 y([4])41
b(P)-7 b(.)33 b(Ash)n(win,)i(W.)e(Cham)n(b)r(ers,)h(and)f(G.)g(P)n
(etro)n(v,)g(Lossless)e(digital)i(\014lters)g(o)n(v)n(er\015o)n(w)685
1019 y(oscillations:)38 b(appro)n(ximations)27 b(of)i(in)n(v)-5
b(arian)n(t)28 b(fractals,)g Fb(In)n(ter.)h(J.)f(Bifur.)h(Chaos)p
Fu(,)f Ft(7)685 1118 y Fu(\(1997\))f(2603{2610.)556 1284
y([5])41 b(D.)22 b(Bosio)f(and)g(F.)h(Viv)-5 b(aldi,)23
b(Round-o\013)e(errors)f(and)h Fq(p)p Fu(-adic)g(n)n(um)n(b)r(ers,)h
Fb(Nonlinearit)n(y)685 1384 y Ft(13)28 b Fu(\(2000\))e(309{322.)556
1550 y([6])41 b(J.)31 b(Buzzi,)g(Piecewise)f(isometries)g(ha)n(v)n(e)f
(zero)h(top)r(ological)f(en)n(trop)n(y)-7 b(,)31 b(Dynamics)f(of)685
1650 y(nonergo)r(dic)22 b(piecewise)g(a\016ne)h(maps)g(of)f(the)i
(torus,)f Fb(Ergo)r(d.)e(Th.)i(and)g(Dynam.)g(Sys.)685
1749 y Ft(21)28 b Fu(\(2001\))e(1371{1377.)556 1915 y([7])41
b(L.)30 b(O.)f(Ch)n(ua)f(and)h(T.)h(Lin,)f(Chaos)g(in)g(digital)g
(\014lters,)g Fb(IEEE)f(T)-7 b(rans.)28 b(Circuits)h(and)685
2015 y(Systems,)f Ft(CAS-35)f Fu(\(1988\))f(648{658.)556
2181 y([8])41 b(L.)28 b(O.)g(Ch)n(ua)f(and)g(T.)h(Lin,)g(Chaos)f(and)g
(fractals)g(from)h(third)f(order)g(digital)g(\014lters,)685
2281 y Fb(In)n(t.)h(J.)g(Cir.)f(Theor.)g(Appl.)h Ft(18)f
Fu(\(1990\))f(241{255.)556 2447 y([9])41 b(L.)31 b(O.)f(Ch)n(ua)f(and)h
(T.)h(Lin,)g(F)-7 b(ractal)29 b(pattern)h(of)g(second)g(order)f
(non-linear)f(digital)685 2546 y(\014lters:)45 b(a)31
b(new)g(sym)n(b)r(olic)g(analysis,)g Fb(In)n(t.)h(J.)f(Cir.)g(Theor.)g
(Appl.)h Ft(18)f Fu(\(1990\))f(541{)685 2646 y(550.)515
2812 y([10])40 b(H.)28 b(Cohn,)g Fb(Adv)-5 b(anced)28
b(n)n(um)n(b)r(er)f(theory)p Fu(,)g(Do)n(v)n(er,)f(New)i(Y)-7
b(ork,)27 b(1980)515 2978 y([11])40 b(A.)27 b(C.)f(Da)n(vies,)f
(Nonlinear)h(oscillations)e(and)i(c)n(haos)f(from)g(digital)h
(\014lters)g(o)n(v)n(er\015o)n(w,)685 3078 y Fb(Phil.)i(T)-7
b(rans.)27 b(R.)g(So)r(c.)h(Lond.)f Ft(A)32 b(353)27
b Fu(\(1995\))g(85{99.)515 3244 y([12])40 b(A.)34 b(Go)r(etz,)g
(So\014c)f(subshifts)h(and)e(piecewise)h(isometric)f(systems,)i
Fb(Ergo)r(d.)e(Theor.)685 3343 y(&)c(Dyn.)g(Sys.)f Ft(19)g
Fu(\(1999\))g(1485{1501.)515 3509 y([13])40 b(A.)20 b(Go)r(etz,)h
(Dynamics)f(of)f(piecewise)g(isometries,)h Fb(Illinois)f(Journal)f(of)h
(Mathematics)685 3609 y Ft(44)28 b Fu(\(2000\))e(465{478.)515
3775 y([14])40 b(A.)26 b(Go)r(etz,)g(Stabilit)n(y)f(of)g(piecewise)g
(rotations)e(and)i(a\016ne)g(maps,)g Fb(Nonlinearit)n(y)g
Ft(14)685 3875 y Fu(\(2001\))i(205{219.)515 4041 y([15])40
b(E.)21 b(Gutkin)g(and)f(N.)h(Siman)n(yi,)h(Dual)f(p)r(olygonal)e
(billiards)h(and)g(nec)n(klage)f(dynamics,)685 4140 y
Fb(Comm.)28 b(Math.)g(Ph)n(ys)e Ft(143)h Fu(\(1992\))f(431{449.)515
4306 y([16])40 b(E.)29 b(Gutkin)h(and)g(N.)f(Ha)n(ydn,)h(T)-7
b(op)r(ological)27 b(en)n(trop)n(y)h(of)i(p)r(olygon)e(exc)n(hange)g
(trans-)685 4406 y(formations)34 b(and)h(p)r(olygonal)f(billiards,)j
Fb(Ergo)r(d.)d(Th.)h(and)g(Dyn.)h(Sys.)f Ft(17)f Fu(\(1997\))685
4506 y(849{867.)515 4672 y([17])40 b(G.)26 b(H.)g(Hardy)e(and)i(E.)f
(M.)g(W)-7 b(righ)n(t,)26 b Fb(An)g(in)n(tro)r(duction)f(to)g(the)h
(theory)e(of)i(n)n(um)n(b)r(ers)p Fu(,)685 4771 y(Oxford)h(Univ)n
(ersit)n(y)g(Press,)f(Oxford,)g(\(1979\).)515 4937 y([18])40
b(B.)31 b(Khang,)g(Dynamics)f(of)h(symplectic)g(a\016ne)f(maps)g(on)h
(tori,)g(PhD)g(Thesis,)g(Uni-)685 5037 y(v)n(ersit)n(y)c(of)g(Illinois)
g(at)h(Urbana-Champain)e(\(2000\).)1905 5506 y(51)p eop
%%Page: 52 52
52 51 bop 515 -60 a Fu([19])40 b(J.)32 b(H.)g(Lo)n(w)n(enstein,)f(S.)h
(Hatjisp)n(yros)e(and)h(F.)h(Viv)-5 b(aldi,)33 b(Quasi-p)r(erio)r
(dicit)n(y)-7 b(,)31 b(global)685 40 y(stabilit)n(y)e(and)g(scaling)f
(in)h(a)g(mo)r(del)g(of)g(Hamiltonian)f(round-o\013,)h
Fb(Chaos)f Ft(7)g Fu(\(1997\))685 139 y(49{66.)515 306
y([20])40 b(J.)23 b(H.)g(Lo)n(w)n(enstein)f(and)h(F.)g(Viv)-5
b(aldi,)24 b(Anomalous)e(transp)r(ort)g(in)h(a)g(mo)r(del)g(of)f
(hamil-)685 405 y(tonian)28 b(round-o\013)e(errors,)g
Fb(Nonlinearit)n(y)g Ft(11)i Fu(\(1998\))e(1321{1350)515
571 y([21])40 b(J.)26 b(H.)g(Lo)n(w)n(enstein)f(and)g(F.)h(Viv)-5
b(aldi,)27 b(Em)n(b)r(edding)e(dynamics)g(for)h(round-o\013)e(errors)
685 671 y(near)j(a)g(p)r(erio)r(dic)h(orbit,)f Fb(Chaos)g
Ft(10)g Fu(\(2000\))f(747-755.)515 837 y([22])40 b(S.)28
b(T)-7 b(abac)n(hnik)n(o)n(v,)26 b(Dual)h(billiards,)g
Fb(Russian)h(Math.)f(Surv)n(eys)p Fu(,)g Ft(48)g Fu(\(1993\))f(81{109.)
515 1003 y([23])40 b(F.)25 b(Viv)-5 b(aldi)25 b(and)f(A.)h(V.)f
(Shaidenk)n(o,)g(Global)g(stabilit)n(y)g(of)h(a)f(class)f(of)h(discon)n
(tin)n(uous)685 1103 y(dual)k(billiards,)f Fb(Comm)n(un.)g(Math.)h(Ph)n
(ys.,)f Ft(110)g Fu(\(1987\))f(625{640.)515 1269 y([24])40
b(F.)g(Viv)-5 b(aldi)40 b(and)f(I.)g(Vladimiro)n(v,)i
(Pseudo-randomness)36 b(of)k(round-o\013)e(errors)f(in)685
1368 y(discretized)30 b(linear)f(maps)h(on)f(the)i(plane,)f(preprin)n
(t,)g(Queen)f(Mary)-7 b(,)30 b(Univ)n(ersit)n(y)f(of)685
1468 y(London)21 b(\(2001\))f Fl(http://www.ma.ute)o(xas)o(.e)o(du)o
(/mp)p 2420 1468 27 4 v 25 w(arc-bin/mpa?yn=)o(01-)o(14)o(9)p
Fu(.)515 1634 y([25])40 b(C.)25 b(W.)h(W)-7 b(u)25 b(and)g(L.)g(O.)f
(Ch)n(ua,)h(Prop)r(erties)e(of)i(admissible)f(sequences)h(in)g(a)f
(second-)685 1733 y(order)e(digital)i(\014lter)f(with)h(o)n(v)n
(er\015o)n(w)d(non-linearit)n(y)-7 b(,)23 b Fb(In)n(t.)g(J.)h(Cir.)f
(Theo)r(er.)f(Appl.)j Ft(21)685 1833 y Fu(\(1993\))i(299{307.)1905
5506 y(52)p eop
%%Page: 53 53
53 52 bop 1139 1404 a @beginspecial 210 @llx 326 @lly
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%AI7_GridSettings: 72 8 72 8 1 0 0.8 0.8 0.8 0.9 0.9 0.9
%AI9_Flatten: 1
%%EndComments
%%BeginProlog
%%BeginResource: procset Adobe_packedarray 2.0 0
%%Title: (Packed Array Operators)
%%Version: 2.0 0
%%CreationDate: (8/2/90) ()
%%Copyright: ((C) 1987-1996 Adobe Systems Incorporated All Rights Reserved)
userdict /Adobe_packedarray 5 dict dup begin put
/initialize
{
/packedarray where
	{
	pop
	}
	{
	Adobe_packedarray begin
	Adobe_packedarray
		{
		dup xcheck
			{
			bind
			} if
		userdict 3 1 roll put
		} forall
 end
	} ifelse
} def
/terminate
{
} def
/packedarray
{
array astore readonly
} def
/setpacking
{
pop
} def
/currentpacking
{
false
} def
currentdict readonly pop end
%%EndResource
Adobe_packedarray /initialize get exec
%%BeginResource: procset Adobe_cmykcolor 1.1 0
%%Title: (CMYK Color Operators)
%%Version: 1.1 0
%%CreationDate: (1/23/89) ()
%%Copyright: ((C) 1987-1996 Adobe Systems Incorporated All Rights Reserved)
currentpacking true setpacking
userdict /Adobe_cmykcolor 4 dict dup begin put
/initialize
{
/setcmykcolor where
	{
	pop
	}
	{
	userdict /Adobe_cmykcolor_vars 2 dict dup begin put
	/_setrgbcolor
		/setrgbcolor load def
	/_currentrgbcolor
		/currentrgbcolor load def
	Adobe_cmykcolor begin
	Adobe_cmykcolor
		{
		dup xcheck
			{
			bind
			} if
		pop pop
		} forall
 end
 end
	Adobe_cmykcolor begin
	} ifelse
} def
/terminate
{
currentdict Adobe_cmykcolor eq
	{
 end
	} if
} def
/setcmykcolor
{
1 sub 4 1 roll
3
	{
	3 index add neg dup 0 lt
		{
		pop 0
		} if
	3 1 roll
	} repeat
Adobe_cmykcolor_vars /_setrgbcolor get exec
pop
} def 
/currentcmykcolor
{
Adobe_cmykcolor_vars /_currentrgbcolor get exec
3
	{
	1 sub neg 3 1 roll
	} repeat
0
} def
currentdict readonly pop end
setpacking
%%EndResource
%%BeginResource: procset Adobe_cshow 1.1 0
%%Title: (cshow Operator)
%%Version: 1.1 0
%%CreationDate: (1/23/89) ()
%%Copyright: ((C) 1987-1996 Adobe Systems Incorporated All Rights Reserved)
currentpacking true setpacking
userdict /Adobe_cshow 3 dict dup begin put
/initialize
{
/cshow where
	{
	pop
	}
	{
	userdict /Adobe_cshow_vars 1 dict dup begin put
	/_cshow
		{} def
	Adobe_cshow begin
	Adobe_cshow
		{
		dup xcheck
			{
			bind
			} if
		userdict 3 1 roll put
		} forall
 end
 end
	} ifelse
} def
/terminate
{
} def
/cshow
{
exch
Adobe_cshow_vars
	exch /_cshow
	exch put
	{
	0 0 Adobe_cshow_vars /_cshow get exec
	} forall
} def
currentdict readonly pop end
setpacking
%%EndResource
%%BeginResource: procset Adobe_customcolor 1.0 0
%%Title: (Custom Color Operators)
%%Version: 1.0 0
%%CreationDate: (5/9/88) ()
%%Copyright: ((C) 1987-1996 Adobe Systems Incorporated All Rights Reserved)
currentpacking true setpacking
userdict /Adobe_customcolor 5 dict dup begin put
/initialize
{
/setcustomcolor where
	{
	pop
	}
	{
	Adobe_customcolor begin
	Adobe_customcolor
		{
		dup xcheck
			{
			bind
			} if
		pop pop
		} forall
 end
	Adobe_customcolor begin
	} ifelse
} def
/terminate
{
currentdict Adobe_customcolor eq
	{
 end
	} if
} def
/findcmykcustomcolor
{
5 packedarray
}  def
/setcustomcolor
{
exch
aload pop pop
4
	{
	4 index mul 4 1 roll
	} repeat
5 -1 roll pop
setcmykcolor
} def
/setoverprint
{
pop
} def
currentdict readonly pop end
setpacking
%%EndResource
%%BeginResource: procset Adobe_typography_AI3 2.0 0
%%Title: (Typography Operators)
%%Version: 2.0 0
%%CreationDate:(5/31/90) ()
%%Copyright: ((C) 1987-1996 Adobe Systems Incorporated All Rights Reserved)
currentpacking true setpacking
userdict /Adobe_typography_AI3 48 dict dup begin put
/initialize
{
/TZ
 where
	{
	pop
	}
	{
	Adobe_typography_AI3 begin
	Adobe_typography_AI3
		{
		dup xcheck
			{
			bind
			} if
		pop pop
		} forall
 end
	Adobe_typography_AI3 begin
	} ifelse
} def
/terminate
{
currentdict Adobe_typography_AI3 eq
	{
 end
	} if
} def
/modifyEncoding
{
	/_tempEncode exch ddef
	
	/_pntr 0 ddef
	
	{
		counttomark -1 roll
		dup type dup /marktype eq 		
		{
			pop pop exit
		}
		{
			/nametype eq
			{
				_tempEncode /_pntr dup load dup 3 1 roll 1 add ddef 3 -1 roll
				put
			}
			{
				/_pntr exch ddef					
			}
			ifelse
		}
		ifelse
	}
	loop	
	
	_tempEncode
}
def
/TE
{
	StandardEncoding 256 array copy modifyEncoding 
	/_nativeEncoding exch def
} def
%
/TZ		
{
	dup type /arraytype eq {/_wv exch def} {/_wv 0 def} ifelse 
	/_useNativeEncoding exch def
	pop pop
	
	findfont _wv type /arraytype eq {_wv makeblendedfont} if dup length 2 add dict
	
 begin
	
		mark exch
		{
			1 index /FID ne { def } if cleartomark mark
		}
		forall
		pop
		
		/FontName exch def
		
		counttomark 0 eq
		{
			1 _useNativeEncoding eq
			{
				/Encoding _nativeEncoding def
			}
			if
			cleartomark
		}
		{	
			/Encoding load 256 array copy 
			modifyEncoding /Encoding exch def
		}
		ifelse		
		FontName currentdict
 end
	
	definefont pop
}
def
/tr
{
_ax _ay 3 2 roll
} def
/trj
{
_cx _cy _sp _ax _ay 6 5 roll
} def
/a0
{
/Tx
	{
	dup 
	currentpoint 3 2 roll
	tr _psf
	newpath moveto
	tr _ctm _pss
	} ddef
/Tj
	{
	dup
	currentpoint 3 2 roll
	trj _pjsf
	newpath moveto
	trj _ctm _pjss
	} ddef
	
} def
/a1
{
/Tx
	{
	dup currentpoint 4 2 roll gsave
	dup currentpoint 3 2 roll
	tr _psf
	newpath moveto
	tr _ctm _pss
	grestore 3 1 roll moveto tr sp
	} ddef
/Tj
	{
	dup currentpoint 4 2 roll gsave
	dup currentpoint 3 2 roll
	trj _pjsf
	newpath moveto
	trj _ctm _pjss
	grestore 3 1 roll moveto tr sp
	} ddef
	
} def
/e0
{
/Tx
	{
	tr _psf
	} ddef
/Tj
	{
	trj _pjsf
	} ddef
} def
/e1
{
/Tx
	{
	dup currentpoint 4 2 roll gsave 
	tr _psf  
	grestore 3 1 roll moveto tr sp 
	} ddef
/Tj
	{
	dup currentpoint 4 2 roll gsave 
	trj _pjsf
	grestore 3 1 roll moveto tr sp 
	} ddef
} def
/i0
{
/Tx
	{
	tr sp
	} ddef
/Tj
	{
	trj jsp
	} ddef
} def
/i1
{
W N
} def
/o0
{
/Tx
	{
	tr sw rmoveto
	} ddef
/Tj
	{
	trj swj rmoveto
	} ddef
} def
/r0
{
/Tx
	{
	tr _ctm _pss
	} ddef
/Tj
	{
	trj _ctm _pjss
	} ddef
} def
/r1
{
/Tx
	{
	dup currentpoint 4 2 roll currentpoint gsave newpath moveto
	tr _ctm _pss 
	grestore 3 1 roll moveto tr sp 
	} ddef
/Tj
	{
	dup currentpoint 4 2 roll currentpoint gsave newpath moveto
	trj _ctm _pjss
	grestore 3 1 roll moveto tr sp 
	} ddef
} def
/To
{
	pop _ctm currentmatrix pop
} def
/TO
{
	iTe _ctm setmatrix newpath
} def
/Tp
{
	pop _tm astore pop _ctm setmatrix 
	_tDict begin /W {} def /h {} def
} def
/TP
{
 end
	iTm 0 0 moveto
} def
/Tr
{
	_render 3 le {currentpoint newpath moveto} if
	dup 8 eq {pop 0} {dup 9 eq {pop 1} if} ifelse
	dup /_render exch ddef
	_renderStart exch get load exec
} def
/iTm
{
_ctm setmatrix _tm concat 0 _rise translate _hs 1 scale
} def
/Tm
{
_tm astore pop iTm 0 0 moveto
} def
/Td
{
_mtx translate _tm _tm concatmatrix pop iTm 0 0 moveto
} def
/iTe
{
	_render -1 eq {} {_renderEnd _render get dup null ne {load exec} {pop} ifelse} ifelse
	/_render -1 ddef
} def
/Ta
{
pop
} def
/Tf
{
dup 1000 div /_fScl exch ddef
exch findfont exch scalefont setfont
} def
/Tl
{
pop
0 exch _leading astore pop
} def
/Tt
{
pop
} def
/TW
{
3 npop
} def
/Tw
{
/_cx exch ddef
} def
/TC
{
3 npop
} def
/Tc
{
/_ax exch ddef
} def
/Ts
{
/_rise exch ddef
currentpoint
iTm
moveto
} def
/Ti
{
3 npop
} def
/Tz
{
100 div /_hs exch ddef
iTm
} def
/TA
{
pop
} def
/Tq
{
pop
} def
/Th
{
pop pop pop pop pop
} def
/TX {pop} def
%/Tx
%/Tj
/Tk
{
exch pop _fScl mul neg 0 rmoveto
} def
/TK
{
2 npop
} def
/T*
{
_leading aload pop neg Td
} def
/T*-
{
_leading aload pop Td
} def
/T-
{
_hyphen Tx
} def
/T+
{} def
/TR
{
_ctm currentmatrix pop 	
_tm astore pop 
iTm 0 0 moveto 
} def
/TS
{
0 eq {Tx} {Tj} ifelse
} def
currentdict readonly pop end
setpacking
%%EndResource
%%BeginResource: procset Adobe_pattern_AI3 1.1 0
%%Title: (Adobe Illustrator (R) Version 3.0 Pattern Operators)
%%Version: 1.1 0
%%CreationDate: (7/21/89) ()
%%Copyright: ((C) 1987-1996 Adobe Systems Incorporated All Rights Reserved)
currentpacking true setpacking
userdict /Adobe_pattern_AI3 16 dict dup begin put
/initialize
{
/definepattern where
	{
	pop
	}
	{
	Adobe_pattern_AI3 begin
	Adobe_pattern_AI3
		{
		dup xcheck
			{
			bind
			} if
		pop pop
		} forall
	mark
	cachestatus 7 1 roll pop pop pop pop exch pop exch
		{
		{
		10000 add
		dup 2 index gt
			{
			exit
			} if
		dup setcachelimit
		} loop
		} stopped
	cleartomark
	} ifelse
} def
/terminate
{
currentdict Adobe_pattern_AI3 eq
	{
 end
	} if
} def
errordict
/nocurrentpoint
{
pop
stop
} put
errordict
/invalidaccess
{
pop
stop
} put
/patternencoding
256 array def
0 1 255
{
patternencoding exch ( ) 2 copy exch 0 exch put cvn put
} for
/definepattern
{
17 dict begin
/uniform exch def
/cache exch def
/key exch def
/procarray exch def
/mtx exch matrix invertmatrix def
/height exch def
/width exch def
/ctm matrix currentmatrix def
/ptm matrix def
/str 32 string def
/slice 9 dict def
slice /s 1 put
slice /q 256 procarray length div sqrt floor cvi put
slice /b 0 put
/FontBBox [0 0 0 0] def
/FontMatrix mtx matrix copy def
/Encoding patternencoding def
/FontType 3 def
/BuildChar
	{
	exch
 begin
	/setstrokeadjust where {pop true setstrokeadjust} if
	slice begin
	dup q dup mul mod s idiv /i exch def
	dup q dup mul mod s mod /j exch def
	q dup mul idiv procarray exch get
	/xl j width s div mul def
	/xg j 1 add width s div mul def
	/yl i height s div mul def
	/yg i 1 add height s div mul def
	uniform
		{
		1 1
		}
		{
		width 0 dtransform
		dup mul exch dup mul add sqrt dup 1 add exch div
		0 height dtransform
		dup mul exch dup mul add sqrt dup 1 add exch div
		} ifelse
	width 0 cache
		{
		xl 4 index mul yl 4 index mul xg 6 index mul yg 6 index mul
		setcachedevice
		}
		{
		setcharwidth
		} ifelse
	gsave
	scale
	newpath
	xl yl moveto
	xg yl lineto
	xg yg lineto
	xl yg lineto
	closepath
	clip
	newpath
 end
 end
	exec
	grestore
	} def
key currentdict definefont
end
} def
/patterncachesize
{
gsave
newpath
0 0 moveto
width 0 lineto
width height lineto
0 height lineto
closepath
patternmatrix setmatrix
pathbbox
exch ceiling 4 -1 roll floor sub 3 1 roll
ceiling exch floor sub
mul 1 add
grestore
} def
/patterncachelimit
{
cachestatus 7 1 roll 6 npop 8 mul
} def
/patternpath
{
exch dup begin setfont
ctm setmatrix
concat
slice exch /b exch slice /q get dup mul mul put
FontMatrix concat
uniform
	{
	width 0 dtransform round width div exch round width div exch
	0 height dtransform round height div exch height div exch
	0 0 transform round exch round exch
	ptm astore setmatrix
	}
	{
	ptm currentmatrix pop
	} ifelse
{currentpoint} stopped not
	{
	2 npop
	pathbbox
	true
	4 index 3 index eq
	4 index 3 index eq
	and
		{
		pop false
			{
			{2 npop}
			{3 npop true}
			{7 npop true}
			{pop true}
			pathforall
			} stopped
			{
			5 npop true
			} if
		} if
		{
		height div ceiling height mul 4 1 roll
		width div ceiling width mul 4 1 roll
		height div floor height mul 4 1 roll
		width div floor width mul 4 1 roll
		2 index sub height div ceiling cvi exch
		3 index sub width div ceiling cvi exch
		4 2 roll moveto
		FontMatrix mtx invertmatrix
		dup dup 4 get exch 5 get rmoveto
		ptm ptm concatmatrix pop
		slice /s
		patterncachesize patterncachelimit div ceiling sqrt ceiling cvi
		dup slice /q get gt
			{
			pop slice /q get
			} if
		put
		0 1 slice /s get dup mul 1 sub
			{
			slice /b get add
			gsave
			0 1 str length 1 sub
				{
				str exch 2 index put
				} for
			pop
			dup
				{
				gsave
				ptm setmatrix
				1 index str length idiv {str show} repeat
				1 index str length mod str exch 0 exch getinterval show
				grestore
				0 height rmoveto
				} repeat
			grestore
			} for
		2 npop
		}
		{
		4 npop
		} ifelse
	} if
end
} def
/patternclip
{
clip
} def
/patternstrokepath
{
strokepath
} def
/patternmatrix
matrix def
/patternfill
{
dup type /dicttype eq
	{
	Adobe_pattern_AI3 /patternmatrix get
	} if
gsave
patternclip
Adobe_pattern_AI3 /patternpath get exec
grestore
newpath
} def
/patternstroke
{
dup type /dicttype eq
	{
	Adobe_pattern_AI3 /patternmatrix get
	} if
gsave
patternstrokepath
true
	{
		{
			{
			newpath 
			moveto
			}
			{
			lineto
			}
			{
			curveto
			}
			{
			closepath
			3 copy
			Adobe_pattern_AI3 /patternfill get exec
			} pathforall
		3 npop
		} stopped
			{
			5 npop
			patternclip
			Adobe_pattern_AI3 /patternfill get exec
			} if
	}
	{
	patternclip
	Adobe_pattern_AI3 /patternfill get exec
	} ifelse
grestore
newpath
} def
/patternashow
{
3 index type /dicttype eq
	{
	Adobe_pattern_AI3 /patternmatrix get 4 1 roll
	} if
	{
	2 npop (0) exch
	2 copy 0 exch put pop
	gsave
	false charpath currentpoint
	6 index 6 index 6 index
	Adobe_pattern_AI3 /patternfill get exec
	grestore
	newpath moveto
	2 copy rmoveto
	} exch cshow
5 npop
} def
/patternawidthshow
{
6 index type /dicttype eq
	{
	Adobe_pattern_AI3 /patternmatrix get 7 1 roll
	} if
	{
	2 npop (0) exch
	2 copy 0 exch put 
	gsave
	_sp eq {5 index 5 index rmoveto} if
	false charpath currentpoint
	9 index 9 index 9 index
	Adobe_pattern_AI3 /patternfill get exec
	grestore
	newpath moveto
	2 copy rmoveto
	} exch cshow
8 npop
} def
/patternashowstroke
{
4 index type /dicttype eq
	{
	patternmatrix /patternmatrix get 5 1 roll
	} if
4 1 roll
	{
	2 npop (0) exch
	2 copy 0 exch put pop
	gsave
	false charpath
	currentpoint
	4 index setmatrix
	7 index 7 index 7 index
	Adobe_pattern_AI3 /patternstroke get exec
	grestore
	newpath moveto
	2 copy rmoveto
	} exch cshow
6 npop
} def
/patternawidthshowstroke
{
7 index type /dicttype eq
	{
	patternmatrix /patternmatrix get 8 1 roll
	} if
7 1 roll
	{
	2 npop (0) exch
	2 copy 0 exch put
	gsave
	_sp eq {5 index 5 index rmoveto} if
	false charpath currentpoint
	7 index setmatrix
	10 index 10 index 10 index
	Adobe_pattern_AI3 /patternstroke get exec
	grestore
	newpath moveto
	2 copy rmoveto
	} exch cshow
9 npop
} def
currentdict readonly pop end
setpacking
%%EndResource
%%BeginResource: procset Adobe_Illustrator_AI3 1.1 0
%%Title: (Adobe Illustrator (R) Version 3.0 Full Prolog)
%%Version: 1.1 0
%%CreationDate: (3/7/1994) ()
%%Copyright: ((C) 1987-1996 Adobe Systems Incorporated All Rights Reserved)
currentpacking true setpacking
userdict /Adobe_Illustrator_AI3 71 dict dup begin put
/initialize
{
userdict /Adobe_Illustrator_AI3_vars 67 dict dup begin put
/_lp /none def
/_pf {} def
/_ps {} def
/_psf {} def
/_pss {} def
/_pjsf {} def
/_pjss {} def
/_pola 0 def
/_doClip 0 def
/cf	currentflat def
/_tm matrix def
/_renderStart [/e0 /r0 /a0 /o0 /e1 /r1 /a1 /i0] def 
/_renderEnd [null null null null /i1 /i1 /i1 /i1] def
/_render -1 def
/_rise 0 def
/_ax 0 def
/_ay 0 def
/_cx 0 def
/_cy 0 def
/_leading [0 0] def
/_ctm matrix def
/_mtx matrix def
/_sp 16#020 def
/_hyphen (-) def
/_fScl 0 def
/_cnt 0 def
/_hs 1 def
/_nativeEncoding 0 def
/_useNativeEncoding 0 def
/_tempEncode 0 def
/_pntr 0 def
/_tDict 2 dict def
/_wv 0 def
/Tx {} def
/Tj {} def
/CRender {} def
/_AI3_savepage {} def
/_gf null def
/_cf 4 array def
/_if null def
/_of false def
/_fc {} def
/_gs null def
/_cs 4 array def
/_is null def
/_os false def
/_sc {} def
/_pd 1 dict def
/_ed 15 dict def
/_pm matrix def
/_fm null def
/_fd null def
/_fdd null def
/_sm null def
/_sd null def
/_sdd null def
/_i null def
Adobe_Illustrator_AI3 begin
Adobe_Illustrator_AI3 dup /nc get begin
	{
	dup xcheck
		{
		bind
		} if
	pop pop
	} forall
end
end
end
Adobe_Illustrator_AI3 begin
Adobe_Illustrator_AI3_vars begin
newpath
} def
/terminate
{
end
end
} def
/_
null def
/ddef
{
Adobe_Illustrator_AI3_vars 3 1 roll put
} def
/xput
{
dup load dup length exch maxlength eq
	{
	dup dup load dup
	length 2 mul dict copy def
	} if
load begin def end
} def
/npop
{
	{
	pop
	} repeat
} def
/sw
{
dup length exch stringwidth
exch 5 -1 roll 3 index mul add
4 1 roll 3 1 roll mul add
} def
/swj
{
dup 4 1 roll
dup length exch stringwidth 
exch 5 -1 roll 3 index mul add
4 1 roll 3 1 roll mul add 
6 2 roll /_cnt 0 ddef
{1 index eq {/_cnt _cnt 1 add ddef} if} forall pop
exch _cnt mul exch _cnt mul 2 index add 4 1 roll 2 index add 4 1 roll pop pop
} def
/ss
{
4 1 roll
	{
	2 npop 
	(0) exch 2 copy 0 exch put pop
	gsave
	false charpath currentpoint
	4 index setmatrix
	stroke
	grestore
	moveto
	2 copy rmoveto
	} exch cshow
3 npop
} def
/jss
{
4 1 roll
	{
	2 npop 
	(0) exch 2 copy 0 exch put 
	gsave
	_sp eq 
		{
		exch 6 index 6 index 6 index 5 -1 roll widthshow  
		currentpoint
		}
		{
		false charpath currentpoint
		4 index setmatrix stroke
		}ifelse
	grestore
	moveto
	2 copy rmoveto
	} exch cshow
6 npop
} def
/sp
{
	{
	2 npop (0) exch
	2 copy 0 exch put pop
	false charpath
	2 copy rmoveto
	} exch cshow
2 npop
} def
/jsp
{
	{
	2 npop 
	(0) exch 2 copy 0 exch put 
	_sp eq 
		{
		exch 5 index 5 index 5 index 5 -1 roll widthshow  
		}
		{
		false charpath
		}ifelse
	2 copy rmoveto
	} exch cshow
5 npop
} def
/pl
{
transform
0.25 sub round 0.25 add exch
0.25 sub round 0.25 add exch
itransform
} def
/setstrokeadjust where
	{
	pop true setstrokeadjust
	/c
	{
	curveto
	} def
	/C
	/c load def
	/v
	{
	currentpoint 6 2 roll curveto
	} def
	/V
	/v load def
	/y
	{
	2 copy curveto
	} def
	/Y
	/y load def
	/l
	{
	lineto
	} def
	/L
	/l load def
	/m
	{
	moveto
	} def
	}
	{
	/c
	{
	pl curveto
	} def
	/C
	/c load def
	/v
	{
	currentpoint 6 2 roll pl curveto
	} def
	/V
	/v load def
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%%PageTrailer
gsave annotatepage grestore showpage
%%Trailer
Adobe_Illustrator_AI3 /terminate get exec
Adobe_pattern_AI3 /terminate get exec
Adobe_typography_AI3 /terminate get exec
Adobe_customcolor /terminate get exec
Adobe_cshow /terminate get exec
Adobe_cmykcolor /terminate get exec
Adobe_packedarray /terminate get exec
%%EOF

%%EndDocument
 @endspecial 515 1587 a Fu(Figure)30 b(1:)44 b(Action)31
b(of)g(the)g(torus)g(map)g(\010.)47 b(T)-7 b(o)31 b(obtain)f(\010\()p
Fq(\020)6 b Fu(\))32 b(for)f(arbitrary)e Fq(\020)35 b
Fs(2)29 b Fu(\012,)j(w)n(e)515 1686 y(rotate)24 b(it)h(to)g
Fq(C)20 b Fs(\001)13 b Fq(\020)32 b Fu(and)25 b(then)g(map)g(it)h(bac)n
(k)e(to)h(\012)g(with)h(a)e(suitable)h(\(and)g(unique\))h(lattice)515
1786 y(translation.)1193 4404 y @beginspecial 217 @llx
285 @lly 398 @urx 506 @ury 1810 @rwi @setspecial
%%BeginDocument: fig.Psi.eps
%!PS-Adobe-3.0 EPSF-3.0
%%Creator: Adobe Illustrator(TM) 3.2
%%AI8_CreatorVersion: 10.0
%%For: (John H. Lowenstein) (New York University)
%%Title: (fig.PsiA.eps)
%%CreationDate: 3/18/02 4:12 PM
%%BoundingBox: 217 285 398 506
%%DocumentProcessColors: Black
%%DocumentFonts: Symbol
%%+ TimesNewRomanPS-ItalicMT
%%DocumentNeededFonts: Symbol
%%+ TimesNewRomanPS-ItalicMT
%%DocumentSuppliedResources: procset Adobe_packedarray 2.0 0
%%+ procset Adobe_cshow 1.1 0
%%+ procset Adobe_customcolor 1.0 0
%%+ procset Adobe_typography_AI3 1.0 1
%%+ procset Adobe_pattern_AI3 1.0 0
%%+ procset Adobe_Illustrator_AI3 1.0 1
%AI3_ColorUsage: Color
%AI3_IncludePlacedImages
%AI3_TemplateBox: 306.5 395.5 306.5 395.5
%AI3_TileBox: 30 35 582 761
%AI3_DocumentPreview: Header
%%PageOrigin:30 35
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%%AI3_Margin:30 -31 -30 31
%AI7_GridSettings: 72 8 72 8 1 0 0.8 0.8 0.8 0.9 0.9 0.9
%AI9_Flatten: 1
%%EndComments
%%BeginProlog
%%BeginResource: procset Adobe_packedarray 2.0 0
%%Title: (Packed Array Operators)
%%Version: 2.0 0
%%CreationDate: (8/2/90) ()
%%Copyright: ((C) 1987-1996 Adobe Systems Incorporated All Rights Reserved)
userdict /Adobe_packedarray 5 dict dup begin put
/initialize
{
/packedarray where
	{
	pop
	}
	{
	Adobe_packedarray begin
	Adobe_packedarray
		{
		dup xcheck
			{
			bind
			} if
		userdict 3 1 roll put
		} forall
 end
	} ifelse
} def
/terminate
{
} def
/packedarray
{
array astore readonly
} def
/setpacking
{
pop
} def
/currentpacking
{
false
} def
currentdict readonly pop end
%%EndResource
Adobe_packedarray /initialize get exec
%%BeginResource: procset Adobe_cshow 1.1 0
%%Title: (cshow Operator)
%%Version: 1.1 0
%%CreationDate: (1/23/89) ()
%%Copyright: ((C) 1987-1996 Adobe Systems Incorporated All Rights Reserved)
currentpacking true setpacking
userdict /Adobe_cshow 3 dict dup begin put
/initialize
{
/cshow where
	{
	pop
	}
	{
	userdict /Adobe_cshow_vars 1 dict dup begin put
	/_cshow
		{} def
	Adobe_cshow begin
	Adobe_cshow
		{
		dup xcheck
			{
			bind
			} if
		userdict 3 1 roll put
		} forall
 end
 end
	} ifelse
} def
/terminate
{
} def
/cshow
{
exch
Adobe_cshow_vars
	exch /_cshow
	exch put
	{
	0 0 Adobe_cshow_vars /_cshow get exec
	} forall
} def
currentdict readonly pop end
setpacking
%%EndResource
%%BeginResource: procset Adobe_customcolor 1.0 0
%%Title: (Custom Color Operators)
%%Version: 1.0 0
%%CreationDate: (5/9/88) ()
%%Copyright: ((C) 1987-1996 Adobe Systems Incorporated All Rights Reserved)
currentpacking true setpacking
userdict /Adobe_customcolor 5 dict dup begin put
/initialize
{
/setcustomcolor where
	{
	pop
	}
	{
	Adobe_customcolor begin
	Adobe_customcolor
		{
		dup xcheck
			{
			bind
			} if
		pop pop
		} forall
 end
	Adobe_customcolor begin
	} ifelse
} def
/terminate
{
currentdict Adobe_customcolor eq
	{
 end
	} if
} def
/findcmykcustomcolor
{
5 packedarray
}  def
/setcustomcolor
{
exch
aload pop pop
4
	{
	4 index mul 4 1 roll
	} repeat
5 -1 roll pop
setcmykcolor
} def
/setoverprint
{
pop
} def
currentdict readonly pop end
setpacking
%%EndResource
%%BeginResource: procset Adobe_typography_AI3 2.0 0
%%Title: (Typography Operators)
%%Version: 2.0 0
%%CreationDate:(5/31/90) ()
%%Copyright: ((C) 1987-1996 Adobe Systems Incorporated All Rights Reserved)
currentpacking true setpacking
userdict /Adobe_typography_AI3 48 dict dup begin put
/initialize
{
/TZ
 where
	{
	pop
	}
	{
	Adobe_typography_AI3 begin
	Adobe_typography_AI3
		{
		dup xcheck
			{
			bind
			} if
		pop pop
		} forall
 end
	Adobe_typography_AI3 begin
	} ifelse
} def
/terminate
{
currentdict Adobe_typography_AI3 eq
	{
 end
	} if
} def
/modifyEncoding
{
	/_tempEncode exch ddef
	
	/_pntr 0 ddef
	
	{
		counttomark -1 roll
		dup type dup /marktype eq 		
		{
			pop pop exit
		}
		{
			/nametype eq
			{
				_tempEncode /_pntr dup load dup 3 1 roll 1 add ddef 3 -1 roll
				put
			}
			{
				/_pntr exch ddef					
			}
			ifelse
		}
		ifelse
	}
	loop	
	
	_tempEncode
}
def
/TE
{
	StandardEncoding 256 array copy modifyEncoding 
	/_nativeEncoding exch def
} def
%
/TZ		
{
	dup type /arraytype eq {/_wv exch def} {/_wv 0 def} ifelse 
	/_useNativeEncoding exch def
	pop pop
	
	findfont _wv type /arraytype eq {_wv makeblendedfont} if dup length 2 add dict
	
 begin
	
		mark exch
		{
			1 index /FID ne { def } if cleartomark mark
		}
		forall
		pop
		
		/FontName exch def
		
		counttomark 0 eq
		{
			1 _useNativeEncoding eq
			{
				/Encoding _nativeEncoding def
			}
			if
			cleartomark
		}
		{	
			/Encoding load 256 array copy 
			modifyEncoding /Encoding exch def
		}
		ifelse		
		FontName currentdict
 end
	
	definefont pop
}
def
/tr
{
_ax _ay 3 2 roll
} def
/trj
{
_cx _cy _sp _ax _ay 6 5 roll
} def
/a0
{
/Tx
	{
	dup 
	currentpoint 3 2 roll
	tr _psf
	newpath moveto
	tr _ctm _pss
	} ddef
/Tj
	{
	dup
	currentpoint 3 2 roll
	trj _pjsf
	newpath moveto
	trj _ctm _pjss
	} ddef
	
} def
/a1
{
/Tx
	{
	dup currentpoint 4 2 roll gsave
	dup currentpoint 3 2 roll
	tr _psf
	newpath moveto
	tr _ctm _pss
	grestore 3 1 roll moveto tr sp
	} ddef
/Tj
	{
	dup currentpoint 4 2 roll gsave
	dup currentpoint 3 2 roll
	trj _pjsf
	newpath moveto
	trj _ctm _pjss
	grestore 3 1 roll moveto tr sp
	} ddef
	
} def
/e0
{
/Tx
	{
	tr _psf
	} ddef
/Tj
	{
	trj _pjsf
	} ddef
} def
/e1
{
/Tx
	{
	dup currentpoint 4 2 roll gsave 
	tr _psf  
	grestore 3 1 roll moveto tr sp 
	} ddef
/Tj
	{
	dup currentpoint 4 2 roll gsave 
	trj _pjsf
	grestore 3 1 roll moveto tr sp 
	} ddef
} def
/i0
{
/Tx
	{
	tr sp
	} ddef
/Tj
	{
	trj jsp
	} ddef
} def
/i1
{
W N
} def
/o0
{
/Tx
	{
	tr sw rmoveto
	} ddef
/Tj
	{
	trj swj rmoveto
	} ddef
} def
/r0
{
/Tx
	{
	tr _ctm _pss
	} ddef
/Tj
	{
	trj _ctm _pjss
	} ddef
} def
/r1
{
/Tx
	{
	dup currentpoint 4 2 roll currentpoint gsave newpath moveto
	tr _ctm _pss 
	grestore 3 1 roll moveto tr sp 
	} ddef
/Tj
	{
	dup currentpoint 4 2 roll currentpoint gsave newpath moveto
	trj _ctm _pjss
	grestore 3 1 roll moveto tr sp 
	} ddef
} def
/To
{
	pop _ctm currentmatrix pop
} def
/TO
{
	iTe _ctm setmatrix newpath
} def
/Tp
{
	pop _tm astore pop _ctm setmatrix 
	_tDict begin /W {} def /h {} def
} def
/TP
{
 end
	iTm 0 0 moveto
} def
/Tr
{
	_render 3 le {currentpoint newpath moveto} if
	dup 8 eq {pop 0} {dup 9 eq {pop 1} if} ifelse
	dup /_render exch ddef
	_renderStart exch get load exec
} def
/iTm
{
_ctm setmatrix _tm concat 0 _rise translate _hs 1 scale
} def
/Tm
{
_tm astore pop iTm 0 0 moveto
} def
/Td
{
_mtx translate _tm _tm concatmatrix pop iTm 0 0 moveto
} def
/iTe
{
	_render -1 eq {} {_renderEnd _render get dup null ne {load exec} {pop} ifelse} ifelse
	/_render -1 ddef
} def
/Ta
{
pop
} def
/Tf
{
dup 1000 div /_fScl exch ddef
exch findfont exch scalefont setfont
} def
/Tl
{
pop
0 exch _leading astore pop
} def
/Tt
{
pop
} def
/TW
{
3 npop
} def
/Tw
{
/_cx exch ddef
} def
/TC
{
3 npop
} def
/Tc
{
/_ax exch ddef
} def
/Ts
{
/_rise exch ddef
currentpoint
iTm
moveto
} def
/Ti
{
3 npop
} def
/Tz
{
100 div /_hs exch ddef
iTm
} def
/TA
{
pop
} def
/Tq
{
pop
} def
/Th
{
pop pop pop pop pop
} def
/TX {pop} def
%/Tx
%/Tj
/Tk
{
exch pop _fScl mul neg 0 rmoveto
} def
/TK
{
2 npop
} def
/T*
{
_leading aload pop neg Td
} def
/T*-
{
_leading aload pop Td
} def
/T-
{
_hyphen Tx
} def
/T+
{} def
/TR
{
_ctm currentmatrix pop 	
_tm astore pop 
iTm 0 0 moveto 
} def
/TS
{
0 eq {Tx} {Tj} ifelse
} def
currentdict readonly pop end
setpacking
%%EndResource
%%BeginResource: procset Adobe_pattern_AI3 1.1 0
%%Title: (Adobe Illustrator (R) Version 3.0 Pattern Operators)
%%Version: 1.1 0
%%CreationDate: (7/21/89) ()
%%Copyright: ((C) 1987-1996 Adobe Systems Incorporated All Rights Reserved)
currentpacking true setpacking
userdict /Adobe_pattern_AI3 16 dict dup begin put
/initialize
{
/definepattern where
	{
	pop
	}
	{
	Adobe_pattern_AI3 begin
	Adobe_pattern_AI3
		{
		dup xcheck
			{
			bind
			} if
		pop pop
		} forall
	mark
	cachestatus 7 1 roll pop pop pop pop exch pop exch
		{
		{
		10000 add
		dup 2 index gt
			{
			exit
			} if
		dup setcachelimit
		} loop
		} stopped
	cleartomark
	} ifelse
} def
/terminate
{
currentdict Adobe_pattern_AI3 eq
	{
 end
	} if
} def
errordict
/nocurrentpoint
{
pop
stop
} put
errordict
/invalidaccess
{
pop
stop
} put
/patternencoding
256 array def
0 1 255
{
patternencoding exch ( ) 2 copy exch 0 exch put cvn put
} for
/definepattern
{
17 dict begin
/uniform exch def
/cache exch def
/key exch def
/procarray exch def
/mtx exch matrix invertmatrix def
/height exch def
/width exch def
/ctm matrix currentmatrix def
/ptm matrix def
/str 32 string def
/slice 9 dict def
slice /s 1 put
slice /q 256 procarray length div sqrt floor cvi put
slice /b 0 put
/FontBBox [0 0 0 0] def
/FontMatrix mtx matrix copy def
/Encoding patternencoding def
/FontType 3 def
/BuildChar
	{
	exch
 begin
	/setstrokeadjust where {pop true setstrokeadjust} if
	slice begin
	dup q dup mul mod s idiv /i exch def
	dup q dup mul mod s mod /j exch def
	q dup mul idiv procarray exch get
	/xl j width s div mul def
	/xg j 1 add width s div mul def
	/yl i height s div mul def
	/yg i 1 add height s div mul def
	uniform
		{
		1 1
		}
		{
		width 0 dtransform
		dup mul exch dup mul add sqrt dup 1 add exch div
		0 height dtransform
		dup mul exch dup mul add sqrt dup 1 add exch div
		} ifelse
	width 0 cache
		{
		xl 4 index mul yl 4 index mul xg 6 index mul yg 6 index mul
		setcachedevice
		}
		{
		setcharwidth
		} ifelse
	gsave
	scale
	newpath
	xl yl moveto
	xg yl lineto
	xg yg lineto
	xl yg lineto
	closepath
	clip
	newpath
 end
 end
	exec
	grestore
	} def
key currentdict definefont
end
} def
/patterncachesize
{
gsave
newpath
0 0 moveto
width 0 lineto
width height lineto
0 height lineto
closepath
patternmatrix setmatrix
pathbbox
exch ceiling 4 -1 roll floor sub 3 1 roll
ceiling exch floor sub
mul 1 add
grestore
} def
/patterncachelimit
{
cachestatus 7 1 roll 6 npop 8 mul
} def
/patternpath
{
exch dup begin setfont
ctm setmatrix
concat
slice exch /b exch slice /q get dup mul mul put
FontMatrix concat
uniform
	{
	width 0 dtransform round width div exch round width div exch
	0 height dtransform round height div exch height div exch
	0 0 transform round exch round exch
	ptm astore setmatrix
	}
	{
	ptm currentmatrix pop
	} ifelse
{currentpoint} stopped not
	{
	2 npop
	pathbbox
	true
	4 index 3 index eq
	4 index 3 index eq
	and
		{
		pop false
			{
			{2 npop}
			{3 npop true}
			{7 npop true}
			{pop true}
			pathforall
			} stopped
			{
			5 npop true
			} if
		} if
		{
		height div ceiling height mul 4 1 roll
		width div ceiling width mul 4 1 roll
		height div floor height mul 4 1 roll
		width div floor width mul 4 1 roll
		2 index sub height div ceiling cvi exch
		3 index sub width div ceiling cvi exch
		4 2 roll moveto
		FontMatrix mtx invertmatrix
		dup dup 4 get exch 5 get rmoveto
		ptm ptm concatmatrix pop
		slice /s
		patterncachesize patterncachelimit div ceiling sqrt ceiling cvi
		dup slice /q get gt
			{
			pop slice /q get
			} if
		put
		0 1 slice /s get dup mul 1 sub
			{
			slice /b get add
			gsave
			0 1 str length 1 sub
				{
				str exch 2 index put
				} for
			pop
			dup
				{
				gsave
				ptm setmatrix
				1 index str length idiv {str show} repeat
				1 index str length mod str exch 0 exch getinterval show
				grestore
				0 height rmoveto
				} repeat
			grestore
			} for
		2 npop
		}
		{
		4 npop
		} ifelse
	} if
end
} def
/patternclip
{
clip
} def
/patternstrokepath
{
strokepath
} def
/patternmatrix
matrix def
/patternfill
{
dup type /dicttype eq
	{
	Adobe_pattern_AI3 /patternmatrix get
	} if
gsave
patternclip
Adobe_pattern_AI3 /patternpath get exec
grestore
newpath
} def
/patternstroke
{
dup type /dicttype eq
	{
	Adobe_pattern_AI3 /patternmatrix get
	} if
gsave
patternstrokepath
true
	{
		{
			{
			newpath 
			moveto
			}
			{
			lineto
			}
			{
			curveto
			}
			{
			closepath
			3 copy
			Adobe_pattern_AI3 /patternfill get exec
			} pathforall
		3 npop
		} stopped
			{
			5 npop
			patternclip
			Adobe_pattern_AI3 /patternfill get exec
			} if
	}
	{
	patternclip
	Adobe_pattern_AI3 /patternfill get exec
	} ifelse
grestore
newpath
} def
/patternashow
{
3 index type /dicttype eq
	{
	Adobe_pattern_AI3 /patternmatrix get 4 1 roll
	} if
	{
	2 npop (0) exch
	2 copy 0 exch put pop
	gsave
	false charpath currentpoint
	6 index 6 index 6 index
	Adobe_pattern_AI3 /patternfill get exec
	grestore
	newpath moveto
	2 copy rmoveto
	} exch cshow
5 npop
} def
/patternawidthshow
{
6 index type /dicttype eq
	{
	Adobe_pattern_AI3 /patternmatrix get 7 1 roll
	} if
	{
	2 npop (0) exch
	2 copy 0 exch put 
	gsave
	_sp eq {5 index 5 index rmoveto} if
	false charpath currentpoint
	9 index 9 index 9 index
	Adobe_pattern_AI3 /patternfill get exec
	grestore
	newpath moveto
	2 copy rmoveto
	} exch cshow
8 npop
} def
/patternashowstroke
{
4 index type /dicttype eq
	{
	patternmatrix /patternmatrix get 5 1 roll
	} if
4 1 roll
	{
	2 npop (0) exch
	2 copy 0 exch put pop
	gsave
	false charpath
	currentpoint
	4 index setmatrix
	7 index 7 index 7 index
	Adobe_pattern_AI3 /patternstroke get exec
	grestore
	newpath moveto
	2 copy rmoveto
	} exch cshow
6 npop
} def
/patternawidthshowstroke
{
7 index type /dicttype eq
	{
	patternmatrix /patternmatrix get 8 1 roll
	} if
7 1 roll
	{
	2 npop (0) exch
	2 copy 0 exch put
	gsave
	_sp eq {5 index 5 index rmoveto} if
	false charpath currentpoint
	7 index setmatrix
	10 index 10 index 10 index
	Adobe_pattern_AI3 /patternstroke get exec
	grestore
	newpath moveto
	2 copy rmoveto
	} exch cshow
9 npop
} def
currentdict readonly pop end
setpacking
%%EndResource
%%BeginResource: procset Adobe_Illustrator_AI3 1.1 0
%%Title: (Adobe Illustrator (R) Version 3.0 Full Prolog)
%%Version: 1.1 0
%%CreationDate: (3/7/1994) ()
%%Copyright: ((C) 1987-1996 Adobe Systems Incorporated All Rights Reserved)
currentpacking true setpacking
userdict /Adobe_Illustrator_AI3 71 dict dup begin put
/initialize
{
userdict /Adobe_Illustrator_AI3_vars 67 dict dup begin put
/_lp /none def
/_pf {} def
/_ps {} def
/_psf {} def
/_pss {} def
/_pjsf {} def
/_pjss {} def
/_pola 0 def
/_doClip 0 def
/cf	currentflat def
/_tm matrix def
/_renderStart [/e0 /r0 /a0 /o0 /e1 /r1 /a1 /i0] def 
/_renderEnd [null null null null /i1 /i1 /i1 /i1] def
/_render -1 def
/_rise 0 def
/_ax 0 def
/_ay 0 def
/_cx 0 def
/_cy 0 def
/_leading [0 0] def
/_ctm matrix def
/_mtx matrix def
/_sp 16#020 def
/_hyphen (-) def
/_fScl 0 def
/_cnt 0 def
/_hs 1 def
/_nativeEncoding 0 def
/_useNativeEncoding 0 def
/_tempEncode 0 def
/_pntr 0 def
/_tDict 2 dict def
/_wv 0 def
/Tx {} def
/Tj {} def
/CRender {} def
/_AI3_savepage {} def
/_gf null def
/_cf 4 array def
/_if null def
/_of false def
/_fc {} def
/_gs null def
/_cs 4 array def
/_is null def
/_os false def
/_sc {} def
/_pd 1 dict def
/_ed 15 dict def
/_pm matrix def
/_fm null def
/_fd null def
/_fdd null def
/_sm null def
/_sd null def
/_sdd null def
/_i null def
Adobe_Illustrator_AI3 begin
Adobe_Illustrator_AI3 dup /nc get begin
	{
	dup xcheck
		{
		bind
		} if
	pop pop
	} forall
end
end
end
Adobe_Illustrator_AI3 begin
Adobe_Illustrator_AI3_vars begin
newpath
} def
/terminate
{
end
end
} def
/_
null def
/ddef
{
Adobe_Illustrator_AI3_vars 3 1 roll put
} def
/xput
{
dup load dup length exch maxlength eq
	{
	dup dup load dup
	length 2 mul dict copy def
	} if
load begin def end
} def
/npop
{
	{
	pop
	} repeat
} def
/sw
{
dup length exch stringwidth
exch 5 -1 roll 3 index mul add
4 1 roll 3 1 roll mul add
} def
/swj
{
dup 4 1 roll
dup length exch stringwidth 
exch 5 -1 roll 3 index mul add
4 1 roll 3 1 roll mul add 
6 2 roll /_cnt 0 ddef
{1 index eq {/_cnt _cnt 1 add ddef} if} forall pop
exch _cnt mul exch _cnt mul 2 index add 4 1 roll 2 index add 4 1 roll pop pop
} def
/ss
{
4 1 roll
	{
	2 npop 
	(0) exch 2 copy 0 exch put pop
	gsave
	false charpath currentpoint
	4 index setmatrix
	stroke
	grestore
	moveto
	2 copy rmoveto
	} exch cshow
3 npop
} def
/jss
{
4 1 roll
	{
	2 npop 
	(0) exch 2 copy 0 exch put 
	gsave
	_sp eq 
		{
		exch 6 index 6 index 6 index 5 -1 roll widthshow  
		currentpoint
		}
		{
		false charpath currentpoint
		4 index setmatrix stroke
		}ifelse
	grestore
	moveto
	2 copy rmoveto
	} exch cshow
6 npop
} def
/sp
{
	{
	2 npop (0) exch
	2 copy 0 exch put pop
	false charpath
	2 copy rmoveto
	} exch cshow
2 npop
} def
/jsp
{
	{
	2 npop 
	(0) exch 2 copy 0 exch put 
	_sp eq 
		{
		exch 5 index 5 index 5 index 5 -1 roll widthshow  
		}
		{
		false charpath
		}ifelse
	2 copy rmoveto
	} exch cshow
5 npop
} def
/pl
{
transform
0.25 sub round 0.25 add exch
0.25 sub round 0.25 add exch
itransform
} def
/setstrokeadjust where
	{
	pop true setstrokeadjust
	/c
	{
	curveto
	} def
	/C
	/c load def
	/v
	{
	currentpoint 6 2 roll curveto
	} def
	/V
	/v load def
	/y
	{
	2 copy curveto
	} def
	/Y
	/y load def
	/l
	{
	lineto
	} def
	/L
	/l load def
	/m
	{
	moveto
	} def
	}
	{
	/c
	{
	pl curveto
	} def
	/C
	/c load def
	/v
	{
	currentpoint 6 2 roll pl curveto
	} def
	/V
	/v load def
	/y
	{
	pl 2 copy curveto
	} def
	/Y
	/y load def
	/l
	{
	pl lineto
	} def
	/L
	/l load def
	/m
	{
	pl moveto
	} def
	} ifelse
/d
{
setdash
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fffffffffffffffffffffffffffffffffffffffffffefbffffd8803004042572c2f7ffff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ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff
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%%EndData
end
%%PageTrailer
%%Trailer
%%BoundingBox: 0 0 799 784
%%EOF

%%EndDocument
 @endspecial 515 3769 a Fu(Figure)33 b(3:)48 b(The)34
b(discon)n(tin)n(uit)n(y)f(set)h(of)f(the)i(map)e(\010)h(for)f(the)h
(rotation)f(n)n(um)n(b)r(er)g Fq(p=q)i Fu(=)515 3869
y(5)p Fq(=)p Fu(12.)1905 5506 y(54)p eop
%%Page: 55 55
55 54 bop 751 4050 a @beginspecial 164 @llx 245 @lly
451 @urx 663 @ury 2870 @rwi @setspecial
%%BeginDocument: fig.ExampleI.1.eps
%!PS-Adobe-3.0 EPSF-3.0
%%Creator: Adobe Illustrator(TM) 7.0
%%For: (John H Lowenstein) ()
%%Title: (pic1.eps)
%%CreationDate: (7/10/01) (9:35 AM)
%%BoundingBox: 164 245 451 663
%%HiResBoundingBox: 164.5 245.7999 450.1718 662.6049
%%DocumentProcessColors: Black
%%DocumentFonts: Courier
%%+ Helvetica
%%+ Symbol
%%DocumentSuppliedResources: procset Adobe_level2_AI5 1.2 0
%%+ procset Adobe_typography_AI5 1.0 1
%%+ procset Adobe_ColorImage_AI6 1.1 0
%%+ procset Adobe_Illustrator_AI5 1.2 0
%%+ procset Adobe_cshow 2.0 8
%AI5_FileFormat 3
%AI3_ColorUsage: Black&White
%AI3_IncludePlacedImages
%AI7_ImageSettings: 1
%%CMYKCustomColor: 1 0 0.55 0 (Aqua)
%%+ 1 0.5 0 0 (Blue)
%%+ 0.5 0.4 0.3 0 (Blue Gray)
%%+ 0.8 0.05 0 0 (Blue Sky)
%%+ 0.5 0.85 1 0 (Brown)
%%+ 1 0.9 0.1 0 (Dark Blue)
%%+ 1 0.55 1 0 (Forest Green)
%%+ 0.05 0.2 0.95 0 (Gold)
%%+ 0.75 0.05 1 0 (Grass Green)
%%+ 0 0.45 1 0 (Orange)
%%+ 0.15 1 1 0 (Red)
%%+ 0.45 0.9 0 0 (Violet)
%%AI6_ColorSeparationSet: 1 1 (AI6 Default Color Separation Set) 
%%+ Options: 1 16 0 1 0 1 1 1 0 1 1 1 1 18 0 0 0 0 0 0 0 0 -1 -1
%%+ PPD: 1 21 0 0 60 45 2 2 1 0 0 1 0 0 0 0 0 0 0 0 0 0 () 
%AI3_TemplateBox: 306 396 306 396
%AI3_TileBox: 18 17 594 779
%AI3_DocumentPreview: Macintosh_ColorPic
%AI5_ArtSize: 612 792
%AI5_RulerUnits: 2
%AI5_ArtFlags: 1 0 0 1 0 0 1 1 0
%AI5_TargetResolution: 800
%AI5_NumLayers: 1
%AI5_OpenToView: -6 612 -1 634 437 18 0 1 3 40 0 0
%AI5_OpenViewLayers: 7
%%PageOrigin:18 17
%%AI3_PaperRect:-18 777 594 -15
%%AI3_Margin:18 -15 -18 15
%AI7_GridSettings: 72 8 72 8 1 0 0.8 0.8 0.8 0.9 0.9 0.9
%%EndComments
%%BeginProlog
%%BeginResource: procset Adobe_level2_AI5 1.2 0
%%Title: (Adobe Illustrator (R) Version 5.0 Level 2 Emulation)
%%Version: 1.2 0
%%CreationDate: (04/10/93) ()
%%Copyright: ((C) 1987-1996 Adobe Systems Incorporated All Rights Reserved)
userdict /Adobe_level2_AI5 25 dict dup begin
	put
	/packedarray where not
	{
		userdict begin
		/packedarray
		{
			array astore readonly
		} bind def
		/setpacking /pop load def
		/currentpacking false def
	 end
		0
	} if
	pop
	userdict /defaultpacking currentpacking put true setpacking
	/initialize
	{
		Adobe_level2_AI5 begin
	} bind def
	/terminate
	{
		currentdict Adobe_level2_AI5 eq
		{
		 end
		} if
	} bind def
	mark
	/setcustomcolor where not
	{
		/findcmykcustomcolor
		{
			0
			6 packedarray
		} bind def
		/findrgbcustomcolor
		{
			1
			5 packedarray
		} bind def
		/setcustomcolor
		{
			exch 
			aload pop 
			0 eq
			{
				pop
				4
				{
					4 index mul
					4 1 roll
				} repeat
				5 -1 roll pop
				setcmykcolor
			}
			{
				pop
				3
				{
					1 exch sub
					3 index mul 
					1 exch sub
					3 1 roll
				} repeat
				4 -1 roll pop
				setrgbcolor
			} ifelse
		}
		def
	} if
	
	/gt38? mark {version cvr cvx exec} stopped {cleartomark true} {38 gt exch pop} ifelse def
	userdict /deviceDPI 72 0 matrix defaultmatrix dtransform dup mul exch dup mul add sqrt put
	userdict /level2?
	systemdict /languagelevel known dup
	{
		pop systemdict /languagelevel get 2 ge
	} if
	put
/level2ScreenFreq
{
 begin
		60
		HalftoneType 1 eq
		{
			pop Frequency
		} if
		HalftoneType 2 eq
		{
			pop GrayFrequency
		} if
		HalftoneType 5 eq
		{
			pop Default level2ScreenFreq
		} if
 end
} bind def
userdict /currentScreenFreq  
	level2? {currenthalftone level2ScreenFreq} {currentscreen pop pop} ifelse put
level2? not
	{
		/setcmykcolor where not
		{
			/setcmykcolor
			{
				exch .11 mul add exch .59 mul add exch .3 mul add
				1 exch sub setgray
			} def
		} if
		/currentcmykcolor where not
		{
			/currentcmykcolor
			{
				0 0 0 1 currentgray sub
			} def
		} if
		/setoverprint where not
		{
			/setoverprint /pop load def
		} if
		/selectfont where not
		{
			/selectfont
			{
				exch findfont exch
				dup type /arraytype eq
				{
					makefont
				}
				{
					scalefont
				} ifelse
				setfont
			} bind def
		} if
		/cshow where not
		{
			/cshow
			{
				[
				0 0 5 -1 roll aload pop
				] cvx bind forall
			} bind def
		} if
	} if
	cleartomark
	/anyColor?
	{
		add add add 0 ne
	} bind def
	/testColor
	{
		gsave
		setcmykcolor currentcmykcolor
		grestore
	} bind def
	/testCMYKColorThrough
	{
		testColor anyColor?
	} bind def
	userdict /composite?
	level2?
	{
		gsave 1 1 1 1 setcmykcolor currentcmykcolor grestore
		add add add 4 eq
	}
	{
		1 0 0 0 testCMYKColorThrough
		0 1 0 0 testCMYKColorThrough
		0 0 1 0 testCMYKColorThrough
		0 0 0 1 testCMYKColorThrough
		and and and
	} ifelse
	put
	composite? not
	{
		userdict begin
		gsave
		/cyan? 1 0 0 0 testCMYKColorThrough def
		/magenta? 0 1 0 0 testCMYKColorThrough def
		/yellow? 0 0 1 0 testCMYKColorThrough def
		/black? 0 0 0 1 testCMYKColorThrough def
		grestore
		/isCMYKSep? cyan? magenta? yellow? black? or or or def
		/customColor? isCMYKSep? not def
	 end
	} if
 end defaultpacking setpacking
%%EndResource
%%BeginResource: procset Adobe_typography_AI5 1.0 1
%%Title: (Typography Operators)
%%Version: 1.0 1
%%CreationDate:(6/10/1996) ()
%%Copyright: ((C) 1987-1996 Adobe Systems Incorporated All Rights Reserved)
currentpacking true setpacking
userdict /Adobe_typography_AI5 68 dict dup begin
put
/initialize
{
 begin
 begin
	Adobe_typography_AI5 begin
	Adobe_typography_AI5
	{
		dup xcheck
		{
			bind
		} if
		pop pop
	} forall
 end
 end
 end
	Adobe_typography_AI5 begin
} def
/terminate
{
	currentdict Adobe_typography_AI5 eq
	{
	 end
	} if
} def
/modifyEncoding
{
	/_tempEncode exch ddef
	/_pntr 0 ddef
	{
		counttomark -1 roll
		dup type dup /marktype eq
		{
			pop pop exit
		}
		{
			/nametype eq
			{
				_tempEncode /_pntr dup load dup 3 1 roll 1 add ddef 3 -1 roll
				put
			}
			{
				/_pntr exch ddef
			} ifelse
		} ifelse
	} loop
	_tempEncode
} def
/havefont
{
	systemdict /languagelevel known
		{
		/Font resourcestatus dup
			{ exch pop exch pop }
		if
		}
		{
		systemdict /FontDirectory get 1 index known
			{ pop true }
			{
			systemdict /fileposition known
				{
				dup length 6 add exch
				Ss 6 250 getinterval
				cvs pop
				Ss exch 0 exch getinterval
				status
					{ pop pop pop pop true }
					{ false }
				ifelse
				}
				{
				pop false
				}
			ifelse
			}
		ifelse
		}
	ifelse
} def
/TE
{
	StandardEncoding 256 array copy modifyEncoding
	/_nativeEncoding exch def
} def
/subststring {
	exch 2 index exch search
	{
		exch pop
		exch dup () eq
		{
			pop exch concatstring
		}
		{
			3 -1 roll
			exch concatstring
			concatstring
		} ifelse
		exch pop true
	}
	{
		pop pop false
	} ifelse
} def
/concatstring {
	1 index length 1 index length
	1 index add
	string
	dup 0 5 index putinterval
	dup 2 index 4 index putinterval
	4 1 roll pop pop pop
} def
%
/TZ
{
	dup type /arraytype eq
	{
		/_wv exch def
	}
	{
		/_wv 0 def
	} ifelse
	/_useNativeEncoding exch def
	2 index havefont
	{
		3 index
		255 string
		cvs
		
		dup
		(_Symbol_)
		eq
		{
			pop
			2 index
			findfont
			
		}
		{
			dup length 1 sub
			1 exch
			getinterval
			
			cvn
			findfont
		} ifelse
	}
	{
		dup 1 eq
		{
			2 index 64 string cvs
			dup (-90pv-RKSJ-) (-83pv-RKSJ-) subststring
			{
				exch pop dup havefont
				{
					findfont false
				}
				{
					pop true
				} ifelse
			}
			{
				pop	dup
				(-90ms-RKSJ-) (-Ext-RKSJ-) subststring
				{
					exch pop dup havefont
					{
						findfont false
					}
					{
						pop true
					} ifelse
				}
				{
					pop pop true
				} ifelse
			} ifelse
			{
				/Ryumin-Light-83pv-RKSJ-H havefont
					{/Ryumin-Light-83pv-RKSJ-H}
					{/Courier}
					ifelse
					findfont
					[1 0 0.5 1 0 0] makefont
			} if
		}
		{
			/Courier findfont
		} ifelse
	} ifelse
	_wv type /arraytype eq
	{
		_wv makeblendedfont
	} if
	dup length 10 add dict
 begin
	mark exch
	{
		1 index /FID ne
		{
			def
		} if
		cleartomark mark
	} forall
	pop
	/FontScript exch def
	/FontDirection exch def
	/FontRequest exch def
	/FontName exch def
	counttomark 0 eq
	{
		1 _useNativeEncoding eq
		{
			/Encoding _nativeEncoding def
		} if
		cleartomark
	}
	{
		/Encoding load 256 array copy
		modifyEncoding /Encoding exch def
	} ifelse
	FontName currentdict
 end
	definefont pop
} def
/tr
{
	_ax _ay 3 2 roll
} def
/trj
{
	_cx _cy _sp _ax _ay 6 5 roll
} def
/a0
{
	/Tx
	{
		dup
		currentpoint 3 2 roll
		tr _psf
		newpath moveto
		tr _ctm _pss
	} ddef
	/Tj
	{
		dup
		currentpoint 3 2 roll
		trj _pjsf
		newpath moveto
		trj _ctm _pjss
	} ddef
} def
/a1
{
W B
} def
/e0
{
	/Tx
	{
		tr _psf
	} ddef
	/Tj
	{
		trj _pjsf
	} ddef
} def
/e1
{
W F 
} def
/i0
{
	/Tx
	{
		tr sp
	} ddef
	/Tj
	{
		trj jsp
	} ddef
} def
/i1
{
	W N
} def
/o0
{
	/Tx
	{
		tr sw rmoveto
	} ddef
	/Tj
	{
		trj swj rmoveto
	} ddef
} def
/r0
{
	/Tx
	{
		tr _ctm _pss
	} ddef
	/Tj
	{
		trj _ctm _pjss
	} ddef
} def
/r1
{
W S
} def
/To
{
	pop _ctm currentmatrix pop
} def
/TO
{
	iTe _ctm setmatrix newpath
} def
/Tp
{
	pop _tm astore pop _ctm setmatrix
	_tDict begin
	/W
	{
	} def
	/h
	{
	} def
} def
/TP
{
 end
	iTm 0 0 moveto
} def
/Tr
{
	_render 3 le
	{
		currentpoint newpath moveto
	} if
	dup 8 eq
	{
		pop 0
	}
	{
		dup 9 eq
		{
			pop 1
		} if
	} ifelse
	dup /_render exch ddef
	_renderStart exch get load exec
} def
/iTm
{
	_ctm setmatrix _tm concat
	_shift aload pop _lineorientation 1 eq { exch } if translate
	_scale aload pop _lineorientation 1 eq _yokoorientation 1 eq or { exch } if scale
} def
/Tm
{
	_tm astore pop iTm 0 0 moveto
} def
/Td
{
	_mtx translate _tm _tm concatmatrix pop iTm 0 0 moveto
} def
/iTe
{
	_render -1 eq
	{
	}
	{
		_renderEnd _render get dup null ne
		{
			load exec
		}
		{
			pop
		} ifelse
	} ifelse
	/_render -1 ddef
} def
/Ta
{
	pop
} def
/Tf
{
	1 index type /nametype eq
	{
		dup 0.75 mul 1 index 0.25 mul neg
	} if
	/_fontDescent exch ddef
	/_fontAscent exch ddef
	/_fontSize exch ddef
	/_fontRotateAdjust _fontAscent _fontDescent add 2 div neg ddef
	/_fontHeight _fontSize ddef
	findfont _fontSize scalefont setfont
} def
/Tl
{
	pop neg 0 exch
	_leading astore pop
} def
/Tt
{
	pop
} def
/TW
{
	3 npop
} def
/Tw
{
	/_cx exch ddef
} def
/TC
{
	3 npop
} def
/Tc
{
	/_ax exch ddef
} def
/Ts
{
	0 exch
	_shift astore pop
	currentpoint
	iTm
	moveto
} def
/Ti
{
	3 npop
} def
/Tz
{
	count 1 eq { 100 } if
	100 div exch 100 div exch
	_scale astore pop
	iTm
} def
/TA
{
	pop
} def
/Tq
{
	pop
} def
/Tg
{
	pop
} def
/TG
{
	pop
} def
/Tv
{
	/_lineorientation exch ddef
} def
/TV
{
	/_charorientation exch ddef
} def
/Ty
{
	dup /_yokoorientation exch ddef 1 sub neg Tv
} def
/TY
{
	pop
} def
/T~
{
	Tx
} def
/Th
{
	pop pop pop pop pop
} def
/TX
{
	pop
} def
/Tk
{
	_fontSize mul 1000 div
	_lineorientation 0 eq { neg 0 } { 0 exch } ifelse
	rmoveto
	pop
} def
/TK
{
	2 npop
} def
/T*
{
	_leading aload pop
	_lineorientation 0 ne { exch } if
	Td
} def
/T*-
{
	_leading aload pop
	_lineorientation 0 ne { exch } if
	exch neg exch neg
	Td
} def
/T-
{
	_ax neg 0 rmoveto
	_lineorientation 1 eq _charorientation 0 eq and { 1 TV _hyphen Tx 0 TV } { _hyphen Tx } ifelse
} def
/T+
{
} def
/TR
{
	_ctm currentmatrix pop
	_tm astore pop
	iTm 0 0 moveto
} def
/TS
{
	currentfont 3 1 roll
	/_Symbol_ findfont _fontSize scalefont setfont
	
	0 eq
	{
		Tx
	}
	{
		Tj
	} ifelse
	setfont
} def
/Xb
{
	pop pop
} def
/Tb /Xb load def
/Xe
{
	pop pop pop pop
} def
/Te /Xe load def
/XB
{
} def
/TB /XB load def
currentdict readonly pop
end
setpacking
%
/X^
{
	currentfont 5 1 roll
	dup havefont
		{
		findfont _fontSize scalefont setfont
		}
		{
		pop
		exch
		} ifelse
	2 index 0 eq
	{
		Tx
	}
	{
		Tj
	} ifelse
	pop	pop
	setfont
} def
/T^	/X^	load def
%%EndResource
%%BeginProcSet: Adobe_ColorImage_AI6 1.1 0
userdict /Adobe_ColorImage_AI6 known not
{
	userdict /Adobe_ColorImage_AI6 24 dict put 
} if
userdict /Adobe_ColorImage_AI6 get begin
/initialize
{ 
	Adobe_ColorImage_AI6 begin
	Adobe_ColorImage_AI6
	{
		dup type /arraytype eq
		{
			dup xcheck
			{
				bind
			} if
		} if
		pop pop
	} forall
} def
/terminate { end } def
currentdict /Adobe_ColorImage_AI6_Vars known not
{
	/Adobe_ColorImage_AI6_Vars 15 dict def
} if
Adobe_ColorImage_AI6_Vars begin
	/channelcount 0 def
	/sourcecount 0 def
	/sourcearray 4 array def
	/plateindex -1 def
	/XIMask 0 def
	/XIBinary 0 def
	/XIChannelCount 0 def
	/XIBitsPerPixel 0 def
	/XIImageHeight 0 def
	/XIImageWidth 0 def
	/XIImageMatrix null def
	/XIBuffer null def
	/XIDataProc null def
	/XIVersion 6 def
end
/WalkRGBString null def
/WalkCMYKString null def
/StuffRGBIntoGrayString null def
/RGBToGrayImageProc null def
/StuffCMYKIntoGrayString null def
/CMYKToGrayImageProc null def
/ColorImageCompositeEmulator null def
/SeparateCMYKImageProc null def
/FourEqual null def
/TestPlateIndex null def
currentdict /_colorimage known not
{
	/colorimage where
	{
		/colorimage get /_colorimage exch def
	}
	{
		/_colorimage null def
	} ifelse
} if
/_currenttransfer systemdict /currenttransfer get def
/colorimage null def
/XI null def
/WalkRGBString
{
	0 3 index
	dup length 1 sub 0 3 3 -1 roll
	{
		3 getinterval { } forall
		5 index exec
		3 index
	} for
	
	 5 { pop } repeat
} def
/WalkCMYKString
{
	0 3 index
	dup length 1 sub 0 4 3 -1 roll
	{
		4 getinterval { } forall
		
		6 index exec
		
		3 index
		
	} for
	
	5 { pop } repeat
	
} def
/StuffRGBIntoGrayString
{
	.11 mul exch
	
	.59 mul add exch
	
	.3 mul add
	
	cvi 3 copy put
	
	pop 1 add
} def
/RGBToGrayImageProc
{	
	Adobe_ColorImage_AI6_Vars begin 
		sourcearray 0 get exec
		dup length 3 idiv string
		dup 3 1 roll 
		
		/StuffRGBIntoGrayString load exch
		WalkRGBString
 end
} def
/StuffCMYKIntoGrayString
{
	exch .11 mul add
	
	exch .59 mul add
	
	exch .3 mul add
	
	dup 255 gt { pop 255 } if
	
	255 exch sub cvi 3 copy put
	
	pop 1 add
} def
/CMYKToGrayImageProc
{	
	Adobe_ColorImage_AI6_Vars begin
		sourcearray 0 get exec
		dup length 4 idiv string
		dup 3 1 roll 
		
		/StuffCMYKIntoGrayString load exch
		WalkCMYKString
 end
} def
/ColorImageCompositeEmulator
{
	pop true eq
	{
		Adobe_ColorImage_AI6_Vars /sourcecount get 5 add { pop } repeat
	}
	{
		Adobe_ColorImage_AI6_Vars /channelcount get 1 ne
		{
			Adobe_ColorImage_AI6_Vars begin
				sourcearray 0 3 -1 roll put
			
				channelcount 3 eq 
				{ 
					/RGBToGrayImageProc 
				}
				{ 
					/CMYKToGrayImageProc
				} ifelse
				load
		 end
		} if
		image
	} ifelse
} def
/SeparateCMYKImageProc
{	
	Adobe_ColorImage_AI6_Vars begin
		sourcecount 0 ne
		{
			sourcearray plateindex get exec
		}
		{			
			sourcearray 0 get exec
			
			dup length 4 idiv string
			
			0 2 index
			
			plateindex 4 2 index length 1 sub
			{
				get 255 exch sub
				
				3 copy put pop 1 add
				
				2 index
			} for
			pop pop exch pop
		} ifelse
 end
} def
	
/FourEqual
{
	4 index ne
	{
		pop pop pop false
	}
	{
		4 index ne
		{
			pop pop false
		}
		{
			4 index ne
			{
				pop false
			}
			{
				4 index eq
			} ifelse
		} ifelse
	} ifelse
} def
/TestPlateIndex
{
	Adobe_ColorImage_AI6_Vars begin
		/plateindex -1 def
		/setcmykcolor where
		{
			pop
			gsave
			1 0 0 0 setcmykcolor systemdict /currentgray get exec 1 exch sub
			0 1 0 0 setcmykcolor systemdict /currentgray get exec 1 exch sub
			0 0 1 0 setcmykcolor systemdict /currentgray get exec 1 exch sub
			0 0 0 1 setcmykcolor systemdict /currentgray get exec 1 exch sub
			grestore
			1 0 0 0 FourEqual 
			{ 
				/plateindex 0 def
			}
			{
				0 1 0 0 FourEqual
				{ 
					/plateindex 1 def
				}
				{
					0 0 1 0 FourEqual
					{
						/plateindex 2 def
					}
					{
						0 0 0 1 FourEqual
						{ 
							/plateindex 3 def
						}
						{
							0 0 0 0 FourEqual
							{
								/plateindex 5 def
							} if
						} ifelse
					} ifelse
				} ifelse
			} ifelse
			pop pop pop pop
		} if
		plateindex
 end
} def
/colorimage
{
	Adobe_ColorImage_AI6_Vars begin
		/channelcount 1 index def
		/sourcecount 2 index 1 eq { channelcount 1 sub } { 0 } ifelse def
		4 sourcecount add index dup 
		8 eq exch 1 eq or not
 end
	
	{
		/_colorimage load null ne
		{
			_colorimage
		}
		{
			Adobe_ColorImage_AI6_Vars /sourcecount get
			7 add { pop } repeat
		} ifelse
	}
	{
		dup 3 eq
		TestPlateIndex
		dup -1 eq exch 5 eq or or
		{
			/_colorimage load null eq
			{
				ColorImageCompositeEmulator
			}
			{
				dup 1 eq
				{
					pop pop image
				}
				{
					Adobe_ColorImage_AI6_Vars /plateindex get 5 eq
					{
						gsave
						
						0 _currenttransfer exec
						1 _currenttransfer exec
						eq
						{ 0 _currenttransfer exec 0.5 lt }
						{ 0 _currenttransfer exec 1 _currenttransfer exec gt } ifelse
						
						{ { pop 0 } } { { pop 1 } } ifelse
						systemdict /settransfer get exec
					} if
					
					_colorimage
					
					Adobe_ColorImage_AI6_Vars /plateindex get 5 eq
					{
						grestore
					} if
				} ifelse
			} ifelse
		}
		{
			dup 1 eq
			{
				pop pop
				image
			}
			{
				pop pop
				Adobe_ColorImage_AI6_Vars begin
					sourcecount -1 0
					{			
						exch sourcearray 3 1 roll put
					} for
					/SeparateCMYKImageProc load
			 end
				systemdict /image get exec
			} ifelse
		} ifelse
	} ifelse
} def
/XG
{
	pop pop
} def
/XF
{
	13 {pop} repeat
} def
/Xh
{
	Adobe_ColorImage_AI6_Vars begin
		gsave
		/XIMask exch 0 ne def
		/XIImageHeight exch def
		/XIImageWidth exch def
		/XIImageMatrix exch def
		0 0 moveto
		XIImageMatrix concat
		XIImageWidth XIImageHeight scale
		
		XIMask
		{
			/_lp /null ddef
			_fc
			/_lp /imagemask ddef
		}
		if
		/XIVersion 7 def
 end
} def
/XH
{
	Adobe_ColorImage_AI6_Vars begin
		/XIVersion 6 def
		grestore
 end
} def
/XI
{
	Adobe_ColorImage_AI6_Vars begin
		gsave
		/XIMask exch 0 ne def
		/XIBinary exch 0 ne def
		pop
		pop
		/XIChannelCount exch def
		/XIBitsPerPixel exch def
		/XIImageHeight exch def
		/XIImageWidth exch def
		pop pop pop pop
		/XIImageMatrix exch def
		XIBitsPerPixel 1 eq
		{
			XIImageWidth 8 div ceiling cvi
		}
		{
			XIImageWidth XIChannelCount mul
		} ifelse
		/XIBuffer exch string def
		XIBinary
		{
			/XIDataProc { currentfile XIBuffer readstring pop } def
			XIVersion 6 le
			{
				currentfile 128 string readline pop pop
			}
			if
		}
		{
			/XIDataProc { currentfile XIBuffer readhexstring pop } def
		} ifelse
		
		XIVersion 6 le
		{
			0 0 moveto
			XIImageMatrix concat
			XIImageWidth XIImageHeight scale
			XIMask
			{
				/_lp /null ddef
				_fc
				/_lp /imagemask ddef
			} if
		} if
		
		XIMask
		{
			XIImageWidth XIImageHeight
			false
			[ XIImageWidth 0 0 XIImageHeight neg 0 0 ]
			/XIDataProc load
			imagemask
		}
		{
			XIImageWidth XIImageHeight
			XIBitsPerPixel
			[ XIImageWidth 0 0 XIImageHeight neg 0 0 ]
			/XIDataProc load
			
			XIChannelCount 1 eq
			{
				gsave
				0 setgray
				image
				grestore
			}
			{
				false
				XIChannelCount
				colorimage
			} ifelse
		} ifelse
		grestore
 end
} def
end
%%EndProcSet
%%BeginResource: procset Adobe_Illustrator_AI5 1.2 0
%%Title: (Adobe Illustrator (R) Version 7.0 Full Prolog)
%%Version: 1.2 0
%%CreationDate: (3/7/1994) ()
%%Copyright: ((C) 1987-1996 Adobe Systems Incorporated All Rights Reserved)
currentpacking true setpacking
userdict /Adobe_Illustrator_AI5_vars 107 dict dup begin
put
/_eo false def
/_lp /none def
/_pf
{
} def
/_ps
{
} def
/_psf
{
} def
/_pss
{
} def
/_pjsf
{
} def
/_pjss
{
} def
/_pola 0 def
/_doClip 0 def
/cf currentflat def
/_lineorientation 0 def
/_charorientation 0 def
/_yokoorientation 0 def
/_tm matrix def
/_renderStart
[
/e0 /r0 /a0 /o0 /e1 /r1 /a1 /i0
] def
/_renderEnd
[
null null null null /i1 /i1 /i1 /i1
] def
/_render -1 def
/_shift [0 0] def
/_ax 0 def
/_ay 0 def
/_cx 0 def
/_cy 0 def
/_leading
[
0 0
] def
/_ctm matrix def
/_mtx matrix def
/_sp 16#020 def
/_hyphen (-) def
/_fontSize 0 def
/_fontAscent 0 def
/_fontDescent 0 def
/_fontHeight 0 def
/_fontRotateAdjust 0 def
/Ss 256 string def
Ss 0 (fonts/) putinterval
/_cnt 0 def
/_scale [1 1] def
/_nativeEncoding 0 def
/_useNativeEncoding 0 def
/_tempEncode 0 def
/_pntr 0 def
/_tDict 2 dict def
/_hfname 100 string def
/_hffound false def
/Tx
{
} def
/Tj
{
} def
/CRender
{
} def
/_AI3_savepage
{
} def
/_gf null def
/_cf 4 array def
/_rgbf 3 array def
/_if null def
/_of false def
/_fc
{
} def
/_gs null def
/_cs 4 array def
/_rgbs 3 array def
/_is null def
/_os false def
/_sc
{
} def
/_pd 1 dict def
/_ed 15 dict def
/_pm matrix def
/_fm null def
/_fd null def
/_fdd null def
/_sm null def
/_sd null def
/_sdd null def
/_i null def
/_lobyte 0 def
/_hibyte 0 def
/_cproc null def
/_cscript 0 def
/_hvax 0 def
/_hvay 0 def
/_hvwb 0 def
/_hvcx 0 def
/_hvcy 0 def
/_bitfont null def
/_bitlobyte 0 def
/_bithibyte 0 def
/_bitkey null def
/_bitdata null def
/_bitindex 0 def
/discardSave null def
/buffer 256 string def
/beginString null def
/endString null def
/endStringLength null def
/layerCnt 1 def
/layerCount 1 def
/perCent (%) 0 get def
/perCentSeen? false def
/newBuff null def
/newBuffButFirst null def
/newBuffLast null def
/clipForward? false def
end
userdict /Adobe_Illustrator_AI5 known not {
	userdict /Adobe_Illustrator_AI5 95 dict put
} if
userdict /Adobe_Illustrator_AI5 get begin
/initialize
{
	Adobe_Illustrator_AI5 dup begin
	Adobe_Illustrator_AI5_vars begin
	discardDict
	{
		bind pop pop
	} forall
	dup /nc get begin
	{
		dup xcheck 1 index type /operatortype ne and
		{
			bind
		} if
		pop pop
	} forall
 end
	newpath
} def
/terminate
{
 end
 end
} def
/_
null def
/ddef
{
	Adobe_Illustrator_AI5_vars 3 1 roll put
} def
/xput
{
	dup load dup length exch maxlength eq
	{
		dup dup load dup
		length 2 mul dict copy def
	} if
	load begin
	def
 end
} def
/npop
{
	{
		pop
	} repeat
} def
/hswj
{
	dup stringwidth 3 2 roll
	{
		_hvwb eq { exch _hvcx add exch _hvcy add } if
		exch _hvax add exch _hvay add
	} cforall
} def
/vswj
{
	0 0 3 -1 roll
	{
		dup 255 le
		_charorientation 1 eq
		and
		{
			dup cstring stringwidth 5 2 roll
			_hvwb eq { exch _hvcy sub exch _hvcx sub } if
			exch _hvay sub exch _hvax sub
			4 -1 roll sub exch
			3 -1 roll sub exch
		}
		{
			_hvwb eq { exch _hvcy sub exch _hvcx sub } if
			exch _hvay sub exch _hvax sub
			_fontHeight sub
		} ifelse
	} cforall
} def
/swj
{
	6 1 roll
	/_hvay exch ddef
	/_hvax exch ddef
	/_hvwb exch ddef
	/_hvcy exch ddef
	/_hvcx exch ddef
	_lineorientation 0 eq { hswj } { vswj } ifelse
} def
/sw
{
	0 0 0 6 3 roll swj
} def
/vjss
{
	4 1 roll
	{
		dup cstring
		dup length 1 eq
		_charorientation 1 eq
		and
		{
			-90 rotate
			currentpoint
			_fontRotateAdjust add
			moveto
			gsave
			false charpath currentpoint
			5 index setmatrix stroke
			grestore
			_fontRotateAdjust sub
			moveto
			_sp eq
			{
				5 index 5 index rmoveto
			} if
			2 copy rmoveto
			90 rotate
		}
		{
			currentpoint
			_fontHeight sub
			5 index sub
			3 index _sp eq
			{
				9 index sub
			} if
	
			currentpoint
			exch 4 index stringwidth pop 2 div sub
			exch _fontAscent sub
			moveto
	
			gsave
			2 index false charpath
			6 index setmatrix stroke
			grestore
	
			moveto pop pop
		} ifelse
	} cforall
	6 npop
} def
/hjss
{
	4 1 roll
	{
		dup cstring
		gsave
		false charpath currentpoint
		5 index setmatrix stroke
		grestore
		moveto
		_sp eq
		{
			5 index 5 index rmoveto
		} if
		2 copy rmoveto
	} cforall
	6 npop
} def
/jss
{
	_lineorientation 0 eq { hjss } { vjss } ifelse
} def
/ss
{
	0 0 0 7 3 roll jss
} def
/vjsp
{
	4 1 roll
	{
		dup cstring
		dup length 1 eq
		_charorientation 1 eq
		and
		{
			-90 rotate
			currentpoint
			_fontRotateAdjust add
			moveto
			false charpath
            currentpoint
			_fontRotateAdjust sub
			moveto
			_sp eq
			{
				5 index 5 index rmoveto
			} if
			2 copy rmoveto
			90 rotate
		}
		{
			currentpoint
			_fontHeight sub
			5 index sub
			3 index _sp eq
			{
				9 index sub
			} if
	
			currentpoint
			exch 4 index stringwidth pop 2 div sub
			exch _fontAscent sub
			moveto
	
			2 index false charpath
	
			moveto pop pop
		} ifelse
	} cforall
	6 npop
} def
/hjsp
{
    4 1 roll
    {
        dup cstring
        false charpath
        _sp eq
        {
            5 index 5 index rmoveto
        } if
        2 copy rmoveto
    } cforall
    6 npop
} def
/jsp
{
	matrix currentmatrix
    _lineorientation 0 eq {hjsp} {vjsp} ifelse
} def
/sp
{
    matrix currentmatrix
    0 0 0 7 3 roll
    _lineorientation 0 eq {hjsp} {vjsp} ifelse
} def
/pl
{
	transform
	0.25 sub round 0.25 add exch
	0.25 sub round 0.25 add exch
	itransform
} def
/setstrokeadjust where
{
	pop true setstrokeadjust
	/c
	{
		curveto
	} def
	/C
	/c load def
	/v
	{
		currentpoint 6 2 roll curveto
	} def
	/V
	/v load def
	/y
	{
		2 copy curveto
	} def
	/Y
	/y load def
	/l
	{
		lineto
	} def
	/L
	/l load def
	/m
	{
		moveto
	} def
}
{
	/c
	{
		pl curveto
	} def
	/C
	/c load def
	/v
	{
		currentpoint 6 2 roll pl curveto
	} def
	/V
	/v load def
	/y
	{
		pl 2 copy curveto
	} def
	/Y
	/y load def
	/l
	{
		pl lineto
	} def
	/L
	/l load def
	/m
	{
		pl moveto
	} def
} ifelse
/d
{
	setdash
} def
/cf
{
} def
/i
{
	dup 0 eq
	{
		pop cf
	} if
	setflat
} def
/j
{
	setlinejoin
} def
/J
{
	setlinecap
} def
/M
{
	setmiterlimit
} def
/w
{
	setlinewidth
} def
/XR
{
	0 ne
	/_eo exch ddef
} def
/H
{
} def
/h
{
	closepath
} def
/N
{
	_pola 0 eq
	{
		_doClip 1 eq
		{
			_eo {eoclip} {clip} ifelse /_doClip 0 ddef
		} if
		newpath
	}
	{
		/CRender
		{
			N
		} ddef
	} ifelse
} def
/n
{
	N
} def
/F
{
	_pola 0 eq
	{
		_doClip 1 eq
		{
			gsave _pf grestore _eo {eoclip} {clip} ifelse newpath /_lp /none ddef _fc
			/_doClip 0 ddef
		}
		{
			_pf
		} ifelse
	}
	{
		/CRender
		{
			F
		} ddef
	} ifelse
} def
/f
{
	closepath
	F
} def
/S
{
	_pola 0 eq
	{
		_doClip 1 eq
		{
			gsave _ps grestore _eo {eoclip} {clip} ifelse newpath /_lp /none ddef _sc
			/_doClip 0 ddef
		}
		{
			_ps
		} ifelse
	}
	{
		/CRender
		{
			S
		} ddef
	} ifelse
} def
/s
{
	closepath
	S
} def
/B
{
	_pola 0 eq
	{
		_doClip 1 eq
		gsave F grestore
		{
			gsave S grestore _eo {eoclip} {clip} ifelse newpath /_lp /none ddef _sc
			/_doClip 0 ddef
		}
		{
			S
		} ifelse
	}
	{
		/CRender
		{
			B
		} ddef
	} ifelse
} def
/b
{
	closepath
	B
} def
/W
{
	/_doClip 1 ddef
} def
/*
{
	count 0 ne
	{
		dup type /stringtype eq
		{
			pop
		} if
	} if
	newpath
} def
/u
{
} def
/U
{
} def
/q
{
	_pola 0 eq
	{
		gsave
	} if
} def
/Q
{
	_pola 0 eq
	{
		grestore
	} if
} def
/*u
{
	_pola 1 add /_pola exch ddef
} def
/*U
{
	_pola 1 sub /_pola exch ddef
	_pola 0 eq
	{
		CRender
	} if
} def
/D
{
	pop
} def
/*w
{
} def
/*W
{
} def
/`
{
	/_i save ddef
	clipForward?
	{
		nulldevice
	} if
	6 1 roll 4 npop
	concat pop
	userdict begin
	/showpage
	{
	} def
	0 setgray
	0 setlinecap
	1 setlinewidth
	0 setlinejoin
	10 setmiterlimit
	[] 0 setdash
	/setstrokeadjust where {pop false setstrokeadjust} if
	newpath
	0 setgray
	false setoverprint
} def
/~
{
 end
	_i restore
} def
/O
{
	0 ne
	/_of exch ddef
	/_lp /none ddef
} def
/R
{
	0 ne
	/_os exch ddef
	/_lp /none ddef
} def
/g
{
	/_gf exch ddef
	/_fc
	{
		_lp /fill ne
		{
			_of setoverprint
			_gf setgray
			/_lp /fill ddef
		} if
	} ddef
	/_pf
	{
		_fc
		_eo {eofill} {fill} ifelse
	} ddef
	/_psf
	{
		_fc
		hvashow
	} ddef
	/_pjsf
	{
		_fc
		hvawidthshow
	} ddef
	/_lp /none ddef
} def
/G
{
	/_gs exch ddef
	/_sc
	{
		_lp /stroke ne
		{
			_os setoverprint
			_gs setgray
			/_lp /stroke ddef
		} if
	} ddef
	/_ps
	{
		_sc
		stroke
	} ddef
	/_pss
	{
		_sc
		ss
	} ddef
	/_pjss
	{
		_sc
		jss
	} ddef
	/_lp /none ddef
} def
/k
{
	_cf astore pop
	/_fc
	{
		_lp /fill ne
		{
			_of setoverprint
			_cf aload pop setcmykcolor
			/_lp /fill ddef
		} if
	} ddef
	/_pf
	{
		_fc
		_eo {eofill} {fill} ifelse
	} ddef
	/_psf
	{
		_fc
		hvashow
	} ddef
	/_pjsf
	{
		_fc
		hvawidthshow
	} ddef
	/_lp /none ddef
} def
/K
{
	_cs astore pop
	/_sc
	{
		_lp /stroke ne
		{
			_os setoverprint
			_cs aload pop setcmykcolor
			/_lp /stroke ddef
		} if
	} ddef
	/_ps
	{
		_sc
		stroke
	} ddef
	/_pss
	{
		_sc
		ss
	} ddef
	/_pjss
	{
		_sc
		jss
	} ddef
	/_lp /none ddef
} def
/Xa
{
	_rgbf astore pop
	/_fc
	{
		_lp /fill ne
		{
			_of setoverprint
			_rgbf aload pop setrgbcolor
			/_lp /fill ddef
		} if
	} ddef
	/_pf
	{
		_fc
		_eo {eofill} {fill} ifelse
	} ddef
	/_psf
	{
		_fc
		hvashow
	} ddef
	/_pjsf
	{
		_fc
		hvawidthshow
	} ddef
	/_lp /none ddef
} def
/XA
{
	_rgbs astore pop
	/_sc
	{
		_lp /stroke ne
		{
			_os setoverprint
			_rgbs aload pop setrgbcolor
			/_lp /stroke ddef
		} if
	} ddef
	/_ps
	{
		_sc
		stroke
	} ddef
	/_pss
	{
		_sc
		ss
	} ddef
	/_pjss
	{
		_sc
		jss
	} ddef
	/_lp /none ddef
} def
/_rgbtocmyk
{
3
	{
	1 exch sub 3 1 roll
	} repeat
3 copy 1 4 1 roll
3
	{
	3 index 2 copy gt
		{
		exch
		} if
	pop 4 1 roll
	} repeat
pop pop pop
4 1 roll
3
	{
	3 index sub
	3 1 roll
	} repeat
4 -1 roll
} def
/Xx
{
	exch
	/_gf exch ddef
	0 eq
	{
		findcmykcustomcolor
	}
	{
		/findrgbcustomcolor where not {
			4 1 roll _rgbtocmyk
			5 -1 roll
			findcmykcustomcolor
		}
		{
			pop
			findrgbcustomcolor
		} ifelse
	} ifelse
	/_if exch ddef
	/_fc
	{
		_lp /fill ne
		{
			_of setoverprint
			_if _gf 1 exch sub setcustomcolor
			/_lp /fill ddef
		} if
	} ddef
	/_pf
	{
		_fc
		_eo {eofill} {fill} ifelse
	} ddef
	/_psf
	{
		_fc
		hvashow
	} ddef
	/_pjsf
	{
		_fc
		hvawidthshow
	} ddef
	/_lp /none ddef
} def
/XX
{
	exch
	/_gs exch ddef
	0 eq
	{
		findcmykcustomcolor
	}
	{
		/findrgbcustomcolor where not {
			4 1 roll _rgbtocmyk
			5 -1 roll
			findcmykcustomcolor
		}
		{
			pop
			findrgbcustomcolor
		} ifelse
	} ifelse
	/_is exch ddef
	/_sc
	{
		_lp /stroke ne
		{
			_os setoverprint
			_is _gs 1 exch sub setcustomcolor
			/_lp /stroke ddef
		} if
	} ddef
	/_ps
	{
		_sc
		stroke
	} ddef
	/_pss
	{
		_sc
		ss
	} ddef
	/_pjss
	{
		_sc
		jss
	} ddef
	/_lp /none ddef
} def
/x
{
	/_gf exch ddef
	findcmykcustomcolor
	/_if exch ddef
	/_fc
	{
		_lp /fill ne
		{
			_of setoverprint
			_if _gf 1 exch sub setcustomcolor
			/_lp /fill ddef
		} if
	} ddef
	/_pf
	{
		_fc
		_eo {eofill} {fill} ifelse
	} ddef
	/_psf
	{
		_fc
		hvashow
	} ddef
	/_pjsf
	{
		_fc
		hvawidthshow
	} ddef
	/_lp /none ddef
} def
/X
{
	/_gs exch ddef
	findcmykcustomcolor
	/_is exch ddef
	/_sc
	{
		_lp /stroke ne
		{
			_os setoverprint
			_is _gs 1 exch sub setcustomcolor
			/_lp /stroke ddef
		} if
	} ddef
	/_ps
	{
		_sc
		stroke
	} ddef
	/_pss
	{
		_sc
		ss
	} ddef
	/_pjss
	{
		_sc
		jss
	} ddef
	/_lp /none ddef
} def
/A
{
	pop
} def
/annotatepage
{
userdict /annotatepage 2 copy known {get exec} {pop pop} ifelse
} def
/XT {
	pop pop
} def
/discard
{
	save /discardSave exch store
	discardDict begin
	/endString exch store
	gt38?
	{
		2 add
	} if
	load
	stopped
	pop
 end
	discardSave restore
} bind def
userdict /discardDict 7 dict dup begin
put
/pre38Initialize
{
	/endStringLength endString length store
	/newBuff buffer 0 endStringLength getinterval store
	/newBuffButFirst newBuff 1 endStringLength 1 sub getinterval store
	/newBuffLast newBuff endStringLength 1 sub 1 getinterval store
} def
/shiftBuffer
{
	newBuff 0 newBuffButFirst putinterval
	newBuffLast 0
	currentfile read not
	{
	stop
	} if
	put
} def
0
{
	pre38Initialize
	mark
	currentfile newBuff readstring exch pop
	{
		{
			newBuff endString eq
			{
				cleartomark stop
			} if
			shiftBuffer
		} loop
	}
	{
	stop
	} ifelse
} def
1
{
	pre38Initialize
	/beginString exch store
	mark
	currentfile newBuff readstring exch pop
	{
		{
			newBuff beginString eq
			{
				/layerCount dup load 1 add store
			}
			{
				newBuff endString eq
				{
					/layerCount dup load 1 sub store
					layerCount 0 eq
					{
						cleartomark stop
					} if
				} if
			} ifelse
			shiftBuffer
		} loop
	} if
} def
2
{
	mark
	{
		currentfile buffer readline not
		{
		stop
		} if
		endString eq
		{
			cleartomark stop
		} if
	} loop
} def
3
{
	/beginString exch store
	/layerCnt 1 store
	mark
	{
		currentfile buffer readline not
		{
		stop
		} if
		dup beginString eq
		{
			pop /layerCnt dup load 1 add store
		}
		{
			endString eq
			{
				layerCnt 1 eq
				{
					cleartomark stop
				}
				{
					/layerCnt dup load 1 sub store
				} ifelse
			} if
		} ifelse
	} loop
} def
end
userdict /clipRenderOff 15 dict dup begin
put
{
	/n /N /s /S /f /F /b /B
}
{
	{
		_doClip 1 eq
		{
			/_doClip 0 ddef _eo {eoclip} {clip} ifelse
		} if
		newpath
	} def
} forall
/Tr /pop load def
/Bb {} def
/BB /pop load def
/Bg {12 npop} def
/Bm {6 npop} def
/Bc /Bm load def
/Bh {4 npop} def
end
/Lb
{
	4 npop
	6 1 roll
	pop
	4 1 roll
	pop pop pop
	0 eq
	{
		0 eq
		{
			(%AI5_BeginLayer) 1 (%AI5_EndLayer--) discard
		}
		{
			
			/clipForward? true def
			
			/Tx /pop load def
			/Tj /pop load def
			
			currentdict end clipRenderOff begin begin
		} ifelse
	}
	{
		0 eq
		{
			save /discardSave exch store
		} if
	} ifelse
} bind def
/LB
{
	discardSave dup null ne
	{
		restore
	}
	{
		pop
		clipForward?
		{
			currentdict
		 end
		 end
		 begin
					
			/clipForward? false ddef
		} if
	} ifelse
} bind def
/Pb
{
	pop pop
	0 (%AI5_EndPalette) discard
} bind def
/Np
{
	0 (%AI5_End_NonPrinting--) discard
} bind def
/Ln /pop load def
/Ap
/pop load def
/Ar
{
	72 exch div
	0 dtransform dup mul exch dup mul add sqrt
	dup 1 lt
	{
		pop 1
	} if
	setflat
} def
/Mb
{
	q
} def
/Md
{
} def
/MB
{
	Q
} def
/nc 4 dict def
nc begin
/setgray
{
	pop
} bind def
/setcmykcolor
{
	4 npop
} bind def
/setrgbcolor
{
	3 npop
} bind def
/setcustomcolor
{
	2 npop
} bind def
currentdict readonly pop
end
end
setpacking
%%EndResource
%%BeginResource: procset Adobe_cshow 2.0 8
%%Title: (Writing System Operators)
%%Version: 2.0 8
%%CreationDate: (1/23/89) ()
%%Copyright: ((C) 1992-1996 Adobe Systems Incorporated All Rights Reserved)
currentpacking true setpacking
userdict /Adobe_cshow 14 dict dup begin put
/initialize
{
	Adobe_cshow begin
	Adobe_cshow
	{
		dup xcheck
		{
			bind
		} if
		pop pop
	} forall
 end
	Adobe_cshow begin
} def
/terminate
{
currentdict Adobe_cshow eq
	{
 end
	} if
} def
/cforall
{
	/_lobyte 0 ddef
	/_hibyte 0 ddef
	/_cproc exch ddef
	/_cscript currentfont /FontScript known { currentfont /FontScript get } { -1 } ifelse ddef
	{
		/_lobyte exch ddef
		_hibyte 0 eq
		_cscript 1 eq
		_lobyte 129 ge _lobyte 159 le and
		_lobyte 224 ge _lobyte 252 le and or and
		_cscript 2 eq
		_lobyte 161 ge _lobyte 254 le and and
		_cscript 3 eq
		_lobyte 161 ge _lobyte 254 le and and
    	_cscript 25 eq
		_lobyte 161 ge _lobyte 254 le and and
    	_cscript -1 eq
		or or or or and
		{
			/_hibyte _lobyte ddef
		}
		{
			_hibyte 256 mul _lobyte add
			_cproc
			/_hibyte 0 ddef
		} ifelse
	} forall
} def
/cstring
{
	dup 256 lt
	{
		(s) dup 0 4 3 roll put
	}
	{
		dup 256 idiv exch 256 mod
		(hl) dup dup 0 6 5 roll put 1 4 3 roll put
	} ifelse
} def
/clength
{
	0 exch
	{ 256 lt { 1 } { 2 } ifelse add } cforall
} def
/hawidthshow
{
	{
		dup cstring
		show
		_hvax _hvay rmoveto
		_hvwb eq { _hvcx _hvcy rmoveto } if
	} cforall
} def
/vawidthshow
{
	{
		dup 255 le
		_charorientation 1 eq
		and
		{
			-90 rotate
			0 _fontRotateAdjust rmoveto
			cstring
			_hvcx _hvcy _hvwb _hvax _hvay 6 -1 roll awidthshow
			0 _fontRotateAdjust neg rmoveto
			90 rotate
		}
		{
			currentpoint
			_fontHeight sub
			exch _hvay sub exch _hvax sub
			2 index _hvwb eq { exch _hvcy sub exch _hvcx sub } if
			3 2 roll
			cstring
			dup stringwidth pop 2 div neg _fontAscent neg rmoveto
			show
			moveto
		} ifelse
	} cforall
} def
/hvawidthshow
{
	6 1 roll
	/_hvay exch ddef
	/_hvax exch ddef
	/_hvwb exch ddef
	/_hvcy exch ddef
	/_hvcx exch ddef
	_lineorientation 0 eq { hawidthshow } { vawidthshow } ifelse
} def
/hvwidthshow
{
	0 0 3 -1 roll hvawidthshow
} def
/hvashow
{
	0 0 0 6 -3 roll hvawidthshow
} def
/hvshow
{
	0 0 0 0 0 6 -1 roll hvawidthshow
} def
currentdict readonly pop end
setpacking
%%EndResource
%%EndProlog
%%BeginSetup
%%IncludeFont: Courier
%%IncludeFont: Helvetica
%%IncludeFont: Symbol
Adobe_level2_AI5 /initialize get exec
Adobe_cshow /initialize get exec
Adobe_Illustrator_AI5_vars Adobe_Illustrator_AI5 Adobe_typography_AI5 /initialize get exec
Adobe_ColorImage_AI6 /initialize get exec
Adobe_Illustrator_AI5 /initialize get exec
[
39/quotesingle 96/grave 128/Adieresis/Aring/Ccedilla/Eacute/Ntilde/Odieresis
/Udieresis/aacute/agrave/acircumflex/adieresis/atilde/aring/ccedilla/eacute
/egrave/ecircumflex/edieresis/iacute/igrave/icircumflex/idieresis/ntilde
/oacute/ograve/ocircumflex/odieresis/otilde/uacute/ugrave/ucircumflex
/udieresis/dagger/degree/cent/sterling/section/bullet/paragraph/germandbls
/registered/copyright/trademark/acute/dieresis/.notdef/AE/Oslash
/.notdef/plusminus/.notdef/.notdef/yen/mu/.notdef/.notdef
/.notdef/.notdef/.notdef/ordfeminine/ordmasculine/.notdef/ae/oslash
/questiondown/exclamdown/logicalnot/.notdef/florin/.notdef/.notdef
/guillemotleft/guillemotright/ellipsis/.notdef/Agrave/Atilde/Otilde/OE/oe
/endash/emdash/quotedblleft/quotedblright/quoteleft/quoteright/divide
/.notdef/ydieresis/Ydieresis/fraction/currency/guilsinglleft/guilsinglright
/fi/fl/daggerdbl/periodcentered/quotesinglbase/quotedblbase/perthousand
/Acircumflex/Ecircumflex/Aacute/Edieresis/Egrave/Iacute/Icircumflex
/Idieresis/Igrave/Oacute/Ocircumflex/.notdef/Ograve/Uacute/Ucircumflex
/Ugrave/dotlessi/circumflex/tilde/macron/breve/dotaccent/ring/cedilla
/hungarumlaut/ogonek/caron
TE
%AI3_BeginEncoding: _Courier Courier
[/_Courier/Courier 0 0 1 TZ
%AI3_EndEncoding AdobeType
%AI3_BeginEncoding: _Helvetica Helvetica
[/_Helvetica/Helvetica 0 0 1 TZ
%AI3_EndEncoding AdobeType
%AI3_BeginEncoding: _Symbol Symbol
[32/space
/exclam
/universal
/numbersign
/existential
/percent
/ampersand
/suchthat
/parenleft
/parenright
/asteriskmath
/plus
/comma
/minus
/period
/slash
/zero
/one
/two
/three
/four
/five
/six
/seven
/eight
/nine
/colon
/semicolon
/less
/equal
/greater
/question
/congruent
/Alpha
/Beta
/Chi
/Delta
/Epsilon
/Phi
/Gamma
/Eta
/Iota
/theta1
/Kappa
/Lambda
/Mu
/Nu
/Omicron
/Pi
/Theta
/Rho
/Sigma
/Tau
/Upsilon
/sigma1
/Omega
/Xi
/Psi
/Zeta
/bracketleft
/therefore
/bracketright
/perpendicular
/underscore
/radicalex
/alpha
/beta
/chi
/delta
/epsilon
/phi
/gamma
/eta
/iota
/phi1
/kappa
/lambda
/mu
/nu
/omicron
/pi
/theta
/rho
/sigma
/tau
/upsilon
/omega1
/omega
/xi
/psi
/zeta
/braceleft
/bar
/braceright
/similar
161/Upsilon1
/minute
/lessequal
/fraction
/infinity
/florin
/club
/diamond
/heart
/spade
/arrowboth
/arrowleft
/arrowup
/arrowright
/arrowdown
/degree
/plusminus
/second
/greaterequal
/multiply
/proportional
/partialdiff
/bullet
/divide
/notequal
/equivalence
/approxequal
/ellipsis
/arrowvertex
/arrowhorizex
/carriagereturn
/aleph
/Ifraktur
/Rfraktur
/weierstrass
/circlemultiply
/circleplus
/emptyset
/intersection
/union
/propersuperset
/reflexsuperset
/notsubset
/propersubset
/reflexsubset
/element
/notelement
/angle
/gradient
/registerserif
/copyrightserif
/trademarkserif
/product
/radical
/dotmath
/logicalnot
/logicaland
/logicalor
/arrowdblboth
/arrowdblleft
/arrowdblup
/arrowdblright
/arrowdbldown
/lozenge
/angleleft
/registersans
/copyrightsans
/trademarksans
/summation
/parenlefttp
/parenleftex
/parenleftbt
/bracketlefttp
/bracketleftex
/bracketleftbt
/bracelefttp
/braceleftmid
/braceleftbt
/braceex
241/angleright
/integral
/integraltp
/integralex
/integralbt
/parenrighttp
/parenrightex
/parenrightbt
/bracketrighttp
/bracketrightex
/bracketrightbt
/bracerighttp
/bracerightmid
/bracerightbt
/_Symbol/Symbol 0 0 0 TZ
%AI3_EndEncoding AdobeType
[161/degree 173/notequal 176/infinity/plusminus/lessequal/greaterequal
181/mu/partialdiff/summation/product/pi/integral 189/Omega 
195/radical 197/approxequal 198/Delta 214/divide/lozenge 240/apple
/_Symbol_/Symbol 0 0 0 TZ
%AI5_Begin_NonPrinting
Np
%AI3_BeginPattern: (Arrow1.2.out/in)
(Arrow1.2.out/in) 1 1 39.4039 39.4039 [
%AI3_Tile
(0 O 0 R  0.75 0.75 0.375 0 k
 0.75 0.75 0.375 0 K
) @
(
%AI6_BeginPatternLayer
800 Ar
1 J 0 j 1 w 4 M []0 d
%AI3_Note:
0 D
0 XR
33.9039 15.6187 m
39.4247 20.202 L
39.4247 20.202 L
33.8869 24.6252 L
S
39.2997 20.202 m
24.5706 20.202 l
20.4039 20.4792 20.4039 16.8125 v
20.4039 13.1458 20.4039 12.5625 y
S
%AI6_EndPatternLayer
) &
] E
%AI3_EndPattern
%AI3_BeginPattern: (Arrow1.2.side)
(Arrow1.2.side) 1 1 39.404 39.4039 [
%AI3_Tile
(0 O 0 R  0.75 0.75 0.375 0 k
 0.75 0.75 0.375 0 K
) @
(
%AI6_BeginPatternLayer
800 Ar
1 J 0 j 1 w 4 M []0 d
%AI3_Note:
0 D
0 XR
20.202 20.202 m
39.404 20.202 l
S
33.904 15.6187 m
39.4248 20.202 L
39.4248 20.202 L
33.887 24.6252 L
S
%AI6_EndPatternLayer
) &
] E
%AI3_EndPattern
%AI3_BeginPattern: (Bricks)
(Bricks) 1.6 1.6 73.6 73.6 [
%AI3_Tile
(0 O 0 R  0.3 0.85 0.85 0 k
 0.3 0.85 0.85 0 K
) @
(
%AI6_BeginPatternLayer
800 Ar
0 J 0 j 1 w 4 M []0 d
%AI3_Note:
0 D
0 XR
1.6 1.6 m
1.6 73.6 L
73.6 73.6 L
73.6 1.6 L
1.6 1.6 L
f
%AI6_EndPatternLayer
) &
(0 O 0 R  1 g
 1 G
) @
(
%AI6_BeginPatternLayer
800 Ar
0 J 0 j 0.3 w 4 M []0 d
%AI3_Note:
0 D
0 XR
1.6 70.01 m
73.6 70.01 l
S
1.6 62.809 m
73.6 62.809 L
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(Polka dots) 0 0 1 1 0 0 0 0 0 [1 0 0 1 0 0] p
(Polka dots) Pc
(Random circles) 0 0 1 1 0 0 0 0 0 [1 0 0 1 0 0] p
(Random circles) Pc
(Rope.side) 0 0 1 1 0 0 0 0 0 [1 0 0 1 0 0] p
(Rope.side) Pc
(Scales) 0 0 1 1 0 0 0 0 0 [1 0 0 1 0 0] p
(Scales) Pc
(SolidStar.side) 0 0 1 1 0 0 0 0 0 [1 0 0 1 0 0] p
(SolidStar.side) Pc
(Stars) 0 0 1 1 0 0 0 0 0 [1 0 0 1 0 0] p
(Stars) Pc
(Stripes) 0 0 1 1 0 0 0 0 0 [1 0 0 1 0 0] p
(Stripes) Pc
(TriBevel.outer) 0 0 1 1 0 0 0 0 0 [1 0 0 1 0 0] p
(TriBevel.outer) Pc
(TriBevel.side) 0 0 1 1 0 0 0 0 0 [1 0 0 1 0 0] p
(TriBevel.side) Pc
(Waves-scroll) 0 0 1 1 0 0 0 0 0 [1 0 0 1 0 0] p
(Waves-scroll) Pc
PB
%AI5_EndPalette
%%EndSetup
%AI5_BeginLayer
1 1 1 1 0 0 0 79 128 255 Lb
(Layer 1) Ln
0 A
u
u
u
0 To
1 0 0 1 366.5023 454.4482 0 Tp
TP
0 Tr
0 O
0 g
300 Ar
0 J 0 j 1 w 4 M []0 d
%AI3_Note:
0 D
0 XR
%_ 0 50 XQ
/_Courier 10 Tf
0 Ts
100 Tz
0 Tt
0 TA
%_ 0 XL
36 0 Xb
XB
0 0 5 TC
100 100 200 TW
0 0 0 Ti
0 Ta
0 0 2 2 3 Th
0 Tq
0 0 Tl
0 Tc
0 Tw
(0) Tx 
(\r) TX 
TO
0 R
0 G
1 J 1 j 0.5 w 10 M
414.702 429.548 m
279.1033 429.548 l
414.702 513.3538 l
414.702 429.548 l
S
0 To
1 0 0 1 261 486 0 Tp
TP
0 Tr
0 O
0 g
0 J 0 j 1 w 4 M
(1) Tx 
(\r) TX 
TO
0 R
0 G
1 J 1 j 0.5 w 10 M
195.2975 429.548 m
279.1033 429.548 l
414.702 513.3538 l
414.702 648.9525 l
195.2975 513.3538 l
195.2975 429.548 l
S
0 To
1 0 0 1 265.0824 600.6429 0 Tp
TP
0 Tr
0 O
0 g
0 J 0 j 1 w 4 M
(2) Tx 
(\r) TX 
TO
0 R
0 G
1 J 1 j 0.5 w 10 M
195.2975 648.9525 m
414.702 648.9525 l
195.2975 513.3538 l
195.2975 648.9525 l
S
0 To
1 0 0 1 306.7947 571.2432 0 Tp
TP
0 Tr
0 O
0 g
0 J 0 j 1 w 4 M
(3) Tx 
(\r) TX 
TO
0 R
0 G
1 J 1 j 2 w 10 M
195.2975 513.3538 m
414.702 648.9525 l
195.2975 513.3538 l
S
0 To
1 0 0 1 340.3402 474.0908 0 Tp
TP
0 Tr
0 O
0 g
0 J 0 j 1 w 4 M
(4) Tx 
(\r) TX 
TO
0 R
0 G
1 J 1 j 2 w 10 M
279.1033 429.548 m
414.702 513.3538 l
279.1033 429.548 l
S
0 To
1 0 0 1 302.5398 654.555 0 Tp
TP
0 Tr
0 O
0 g
0 J 0 j 1 w 4 M
(5) Tx 
(\r) TX 
TO
0 R
0 G
1 J 1 j 2 w 10 M
195.2975 648.9525 m
414.702 648.9525 l
195.2975 648.9525 l
S
0 To
1 0 0 1 417.4596 579.1182 0 Tp
TP
0 Tr
0 O
0 g
0 J 0 j 1 w 4 M
(6) Tx 
(\r) TX 
TO
0 R
0 G
1 J 1 j 2 w 10 M
414.702 513.3538 m
414.702 648.9525 l
414.702 513.3538 l
S
0 To
1 0 0 1 419.0146 470.4159 0 Tp
TP
0 Tr
0 O
0 g
0 J 0 j 1 w 4 M
(7) Tx 
(\r) TX 
TO
0 R
0 G
1 J 1 j 2 w 10 M
414.702 429.548 m
414.702 513.3538 l
414.702 429.548 l
S
0 To
1 0 0 1 411 653.465 0 Tp
TP
0 Tr
0 O
0 g
0 J 0 j 1 w 4 M
(8) Tx 
(\r) TX 
TO
0 R
0 G
1 J 1 j 0.5 w 10 M
414.702 648.9525 m
414.702 648.9525 l
S
0 To
1 0 0 1 418.52 511.9649 0 Tp
TP
0 Tr
0 O
0 g
0 J 0 j 1 w 4 M
(9) Tx 
(\r) TX 
TO
0 R
0 G
1 J 1 j 0.5 w 10 M
414.702 513.3538 m
414.702 513.3538 l
S
U
U
U
1 Ap
0 O
0 g
800 Ar
0 J 0 j 1 w 4 M
414.0251 646.0251 m
415.3919 646.0251 416.5 647.1332 416.5 648.5 c
416.5 649.8668 415.3919 650.9749 414.0251 650.9749 c
412.6583 650.9749 411.5503 649.8668 411.5503 648.5 c
411.5503 647.1332 412.6583 646.0251 414.0251 646.0251 c
f
414 510.5 m
415.3668 510.5 416.4749 511.6081 416.4749 512.9749 c
416.4749 514.3417 415.3668 515.4497 414 515.4497 c
412.6332 515.4497 411.5251 514.3417 411.5251 512.9749 c
411.5251 511.6081 412.6332 510.5 414 510.5 c
f
u
u
0 To
1 0 0 1 425.5 648.753 0 Tp
TP
0 Tr
0 0 0 1 k
/_Helvetica 12 Tf
1 TA
(\(0,0\)) Tx 1 0 Tk
(\r) TX 
TO
0 To
1 0 0 1 165.5 648.747 0 Tp
TP
0 Tr
(\() Tx 1 0 Tk
/_Symbol 12 Tf
(t) Tx 1 0 Tk
/_Helvetica 12 Tf
(,0\)) Tx 1 0 Tk
(\r) TX 
TO
U
u
0 To
1 0 0 1 424 428.5 0 Tp
TP
0 Tr
(\(0,) Tx 1 0 Tk
/_Symbol 12 Tf
(t) Tx 1 0 Tk
/_Helvetica 12 Tf
(\)) Tx 1 0 Tk
(\r) TX 
TO
0 To
1 0 0 1 164.5 428.5 0 Tp
TP
0 Tr
(\() Tx 1 0 Tk
/_Symbol 12 Tf
(t,t) Tx 1 0 Tk
/_Helvetica 12 Tf
(\)) Tx 1 0 Tk
(\r) TX 
TO
U
U
0 To
1 0 0 1 316 248.5 0 Tp
TP
0 Tr
(\r) Tx 1 0 Tk
TO
LB
%AI5_EndLayer--
%%PageTrailer
gsave annotatepage grestore showpage
%%Trailer
Adobe_Illustrator_AI5 /terminate get exec
Adobe_ColorImage_AI6 /terminate get exec
Adobe_typography_AI5 /terminate get exec
Adobe_cshow /terminate get exec
Adobe_level2_AI5 /terminate get exec
%%EOF

%%EndDocument
 @endspecial 515 4233 a Fu(Figure)30 b(4:)42 b(Example)30
b(I:)h(generating)e(partition.)46 b(The)30 b(domains)g(0)p
Fq(;)14 b Fu(1)p Fq(;)g Fu(2)29 b(are)h(op)r(en)h(p)r(oly-)515
4332 y(gons;)24 b(3)f(to)h(7)f(are)g(op)r(en)g(line)h(segmen)n(ts;)g(8)
p Fq(;)k Fu(9)23 b(are)g(p)r(oin)n(ts.)35 b(Eac)n(h)23
b(domain)g(is)g(assigned)g(re-)515 4432 y(turn)f(time)h(1.)34
b(The)22 b(action)g(of)g(the)g(map)g(on)g(eac)n(h)f(domain)h
Fq(D)i Fu(is)e(a\016ne:)34 b(\010\()p Fq(D)r Fu(\))24
b(=)3119 4411 y(~)3100 4432 y Fq(C)7 b(D)j Fu(+)d Fq(\016)s
Fu(,)515 4532 y(with)28 b Fq(\016)j Fu(dep)r(ending)d(on)f(the)h
(domain.)1905 5506 y(55)p eop
%%Page: 56 56
56 55 bop 830 1637 a @beginspecial 127 @llx 328 @lly
395 @urx 505 @ury 2680 @rwi @setspecial
%%BeginDocument: fig.ExampleI.2.eps
%!PS-Adobe-3.0 EPSF-3.0
%%Creator: Adobe Illustrator(TM) 3.2
%%AI8_CreatorVersion: 10.0
%%For: (John H. Lowenstein) (New York University)
%%Title: (fig.ExampleI2A.eps)
%%CreationDate: 3/18/02 4:02 PM
%%BoundingBox: 127 328 395 505
%%DocumentProcessColors: Black
%%DocumentFonts: Courier
%%+ Helvetica
%%+ Symbol
%%DocumentNeededFonts: Courier
%%+ Helvetica
%%+ Symbol
%%DocumentSuppliedResources: procset Adobe_packedarray 2.0 0
%%+ procset Adobe_cshow 1.1 0
%%+ procset Adobe_customcolor 1.0 0
%%+ procset Adobe_typography_AI3 1.0 1
%%+ procset Adobe_pattern_AI3 1.0 0
%%+ procset Adobe_Illustrator_AI3 1.0 1
%AI3_ColorUsage: Color
%AI3_IncludePlacedImages
%AI3_TemplateBox: 306.5 395.5 306.5 395.5
%AI3_TileBox: 30 35 582 761
%AI3_DocumentPreview: Header
%%PageOrigin:30 35
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%%AI3_Margin:30 -31 -30 31
%AI7_GridSettings: 72 8 72 8 1 0 0.8 0.8 0.8 0.9 0.9 0.9
%AI9_Flatten: 1
%%EndComments
%%BeginProlog
%%BeginResource: procset Adobe_packedarray 2.0 0
%%Title: (Packed Array Operators)
%%Version: 2.0 0
%%CreationDate: (8/2/90) ()
%%Copyright: ((C) 1987-1996 Adobe Systems Incorporated All Rights Reserved)
userdict /Adobe_packedarray 5 dict dup begin put
/initialize
{
/packedarray where
	{
	pop
	}
	{
	Adobe_packedarray begin
	Adobe_packedarray
		{
		dup xcheck
			{
			bind
			} if
		userdict 3 1 roll put
		} forall
 end
	} ifelse
} def
/terminate
{
} def
/packedarray
{
array astore readonly
} def
/setpacking
{
pop
} def
/currentpacking
{
false
} def
currentdict readonly pop end
%%EndResource
Adobe_packedarray /initialize get exec
%%BeginResource: procset Adobe_cshow 1.1 0
%%Title: (cshow Operator)
%%Version: 1.1 0
%%CreationDate: (1/23/89) ()
%%Copyright: ((C) 1987-1996 Adobe Systems Incorporated All Rights Reserved)
currentpacking true setpacking
userdict /Adobe_cshow 3 dict dup begin put
/initialize
{
/cshow where
	{
	pop
	}
	{
	userdict /Adobe_cshow_vars 1 dict dup begin put
	/_cshow
		{} def
	Adobe_cshow begin
	Adobe_cshow
		{
		dup xcheck
			{
			bind
			} if
		userdict 3 1 roll put
		} forall
 end
 end
	} ifelse
} def
/terminate
{
} def
/cshow
{
exch
Adobe_cshow_vars
	exch /_cshow
	exch put
	{
	0 0 Adobe_cshow_vars /_cshow get exec
	} forall
} def
currentdict readonly pop end
setpacking
%%EndResource
%%BeginResource: procset Adobe_customcolor 1.0 0
%%Title: (Custom Color Operators)
%%Version: 1.0 0
%%CreationDate: (5/9/88) ()
%%Copyright: ((C) 1987-1996 Adobe Systems Incorporated All Rights Reserved)
currentpacking true setpacking
userdict /Adobe_customcolor 5 dict dup begin put
/initialize
{
/setcustomcolor where
	{
	pop
	}
	{
	Adobe_customcolor begin
	Adobe_customcolor
		{
		dup xcheck
			{
			bind
			} if
		pop pop
		} forall
 end
	Adobe_customcolor begin
	} ifelse
} def
/terminate
{
currentdict Adobe_customcolor eq
	{
 end
	} if
} def
/findcmykcustomcolor
{
5 packedarray
}  def
/setcustomcolor
{
exch
aload pop pop
4
	{
	4 index mul 4 1 roll
	} repeat
5 -1 roll pop
setcmykcolor
} def
/setoverprint
{
pop
} def
currentdict readonly pop end
setpacking
%%EndResource
%%BeginResource: procset Adobe_typography_AI3 2.0 0
%%Title: (Typography Operators)
%%Version: 2.0 0
%%CreationDate:(5/31/90) ()
%%Copyright: ((C) 1987-1996 Adobe Systems Incorporated All Rights Reserved)
currentpacking true setpacking
userdict /Adobe_typography_AI3 48 dict dup begin put
/initialize
{
/TZ
 where
	{
	pop
	}
	{
	Adobe_typography_AI3 begin
	Adobe_typography_AI3
		{
		dup xcheck
			{
			bind
			} if
		pop pop
		} forall
 end
	Adobe_typography_AI3 begin
	} ifelse
} def
/terminate
{
currentdict Adobe_typography_AI3 eq
	{
 end
	} if
} def
/modifyEncoding
{
	/_tempEncode exch ddef
	
	/_pntr 0 ddef
	
	{
		counttomark -1 roll
		dup type dup /marktype eq 		
		{
			pop pop exit
		}
		{
			/nametype eq
			{
				_tempEncode /_pntr dup load dup 3 1 roll 1 add ddef 3 -1 roll
				put
			}
			{
				/_pntr exch ddef					
			}
			ifelse
		}
		ifelse
	}
	loop	
	
	_tempEncode
}
def
/TE
{
	StandardEncoding 256 array copy modifyEncoding 
	/_nativeEncoding exch def
} def
%
/TZ		
{
	dup type /arraytype eq {/_wv exch def} {/_wv 0 def} ifelse 
	/_useNativeEncoding exch def
	pop pop
	
	findfont _wv type /arraytype eq {_wv makeblendedfont} if dup length 2 add dict
	
 begin
	
		mark exch
		{
			1 index /FID ne { def } if cleartomark mark
		}
		forall
		pop
		
		/FontName exch def
		
		counttomark 0 eq
		{
			1 _useNativeEncoding eq
			{
				/Encoding _nativeEncoding def
			}
			if
			cleartomark
		}
		{	
			/Encoding load 256 array copy 
			modifyEncoding /Encoding exch def
		}
		ifelse		
		FontName currentdict
 end
	
	definefont pop
}
def
/tr
{
_ax _ay 3 2 roll
} def
/trj
{
_cx _cy _sp _ax _ay 6 5 roll
} def
/a0
{
/Tx
	{
	dup 
	currentpoint 3 2 roll
	tr _psf
	newpath moveto
	tr _ctm _pss
	} ddef
/Tj
	{
	dup
	currentpoint 3 2 roll
	trj _pjsf
	newpath moveto
	trj _ctm _pjss
	} ddef
	
} def
/a1
{
/Tx
	{
	dup currentpoint 4 2 roll gsave
	dup currentpoint 3 2 roll
	tr _psf
	newpath moveto
	tr _ctm _pss
	grestore 3 1 roll moveto tr sp
	} ddef
/Tj
	{
	dup currentpoint 4 2 roll gsave
	dup currentpoint 3 2 roll
	trj _pjsf
	newpath moveto
	trj _ctm _pjss
	grestore 3 1 roll moveto tr sp
	} ddef
	
} def
/e0
{
/Tx
	{
	tr _psf
	} ddef
/Tj
	{
	trj _pjsf
	} ddef
} def
/e1
{
/Tx
	{
	dup currentpoint 4 2 roll gsave 
	tr _psf  
	grestore 3 1 roll moveto tr sp 
	} ddef
/Tj
	{
	dup currentpoint 4 2 roll gsave 
	trj _pjsf
	grestore 3 1 roll moveto tr sp 
	} ddef
} def
/i0
{
/Tx
	{
	tr sp
	} ddef
/Tj
	{
	trj jsp
	} ddef
} def
/i1
{
W N
} def
/o0
{
/Tx
	{
	tr sw rmoveto
	} ddef
/Tj
	{
	trj swj rmoveto
	} ddef
} def
/r0
{
/Tx
	{
	tr _ctm _pss
	} ddef
/Tj
	{
	trj _ctm _pjss
	} ddef
} def
/r1
{
/Tx
	{
	dup currentpoint 4 2 roll currentpoint gsave newpath moveto
	tr _ctm _pss 
	grestore 3 1 roll moveto tr sp 
	} ddef
/Tj
	{
	dup currentpoint 4 2 roll currentpoint gsave newpath moveto
	trj _ctm _pjss
	grestore 3 1 roll moveto tr sp 
	} ddef
} def
/To
{
	pop _ctm currentmatrix pop
} def
/TO
{
	iTe _ctm setmatrix newpath
} def
/Tp
{
	pop _tm astore pop _ctm setmatrix 
	_tDict begin /W {} def /h {} def
} def
/TP
{
 end
	iTm 0 0 moveto
} def
/Tr
{
	_render 3 le {currentpoint newpath moveto} if
	dup 8 eq {pop 0} {dup 9 eq {pop 1} if} ifelse
	dup /_render exch ddef
	_renderStart exch get load exec
} def
/iTm
{
_ctm setmatrix _tm concat 0 _rise translate _hs 1 scale
} def
/Tm
{
_tm astore pop iTm 0 0 moveto
} def
/Td
{
_mtx translate _tm _tm concatmatrix pop iTm 0 0 moveto
} def
/iTe
{
	_render -1 eq {} {_renderEnd _render get dup null ne {load exec} {pop} ifelse} ifelse
	/_render -1 ddef
} def
/Ta
{
pop
} def
/Tf
{
dup 1000 div /_fScl exch ddef
exch findfont exch scalefont setfont
} def
/Tl
{
pop
0 exch _leading astore pop
} def
/Tt
{
pop
} def
/TW
{
3 npop
} def
/Tw
{
/_cx exch ddef
} def
/TC
{
3 npop
} def
/Tc
{
/_ax exch ddef
} def
/Ts
{
/_rise exch ddef
currentpoint
iTm
moveto
} def
/Ti
{
3 npop
} def
/Tz
{
100 div /_hs exch ddef
iTm
} def
/TA
{
pop
} def
/Tq
{
pop
} def
/Th
{
pop pop pop pop pop
} def
/TX {pop} def
%/Tx
%/Tj
/Tk
{
exch pop _fScl mul neg 0 rmoveto
} def
/TK
{
2 npop
} def
/T*
{
_leading aload pop neg Td
} def
/T*-
{
_leading aload pop Td
} def
/T-
{
_hyphen Tx
} def
/T+
{} def
/TR
{
_ctm currentmatrix pop 	
_tm astore pop 
iTm 0 0 moveto 
} def
/TS
{
0 eq {Tx} {Tj} ifelse
} def
currentdict readonly pop end
setpacking
%%EndResource
%%BeginResource: procset Adobe_pattern_AI3 1.1 0
%%Title: (Adobe Illustrator (R) Version 3.0 Pattern Operators)
%%Version: 1.1 0
%%CreationDate: (7/21/89) ()
%%Copyright: ((C) 1987-1996 Adobe Systems Incorporated All Rights Reserved)
currentpacking true setpacking
userdict /Adobe_pattern_AI3 16 dict dup begin put
/initialize
{
/definepattern where
	{
	pop
	}
	{
	Adobe_pattern_AI3 begin
	Adobe_pattern_AI3
		{
		dup xcheck
			{
			bind
			} if
		pop pop
		} forall
	mark
	cachestatus 7 1 roll pop pop pop pop exch pop exch
		{
		{
		10000 add
		dup 2 index gt
			{
			exit
			} if
		dup setcachelimit
		} loop
		} stopped
	cleartomark
	} ifelse
} def
/terminate
{
currentdict Adobe_pattern_AI3 eq
	{
 end
	} if
} def
errordict
/nocurrentpoint
{
pop
stop
} put
errordict
/invalidaccess
{
pop
stop
} put
/patternencoding
256 array def
0 1 255
{
patternencoding exch ( ) 2 copy exch 0 exch put cvn put
} for
/definepattern
{
17 dict begin
/uniform exch def
/cache exch def
/key exch def
/procarray exch def
/mtx exch matrix invertmatrix def
/height exch def
/width exch def
/ctm matrix currentmatrix def
/ptm matrix def
/str 32 string def
/slice 9 dict def
slice /s 1 put
slice /q 256 procarray length div sqrt floor cvi put
slice /b 0 put
/FontBBox [0 0 0 0] def
/FontMatrix mtx matrix copy def
/Encoding patternencoding def
/FontType 3 def
/BuildChar
	{
	exch
 begin
	/setstrokeadjust where {pop true setstrokeadjust} if
	slice begin
	dup q dup mul mod s idiv /i exch def
	dup q dup mul mod s mod /j exch def
	q dup mul idiv procarray exch get
	/xl j width s div mul def
	/xg j 1 add width s div mul def
	/yl i height s div mul def
	/yg i 1 add height s div mul def
	uniform
		{
		1 1
		}
		{
		width 0 dtransform
		dup mul exch dup mul add sqrt dup 1 add exch div
		0 height dtransform
		dup mul exch dup mul add sqrt dup 1 add exch div
		} ifelse
	width 0 cache
		{
		xl 4 index mul yl 4 index mul xg 6 index mul yg 6 index mul
		setcachedevice
		}
		{
		setcharwidth
		} ifelse
	gsave
	scale
	newpath
	xl yl moveto
	xg yl lineto
	xg yg lineto
	xl yg lineto
	closepath
	clip
	newpath
 end
 end
	exec
	grestore
	} def
key currentdict definefont
end
} def
/patterncachesize
{
gsave
newpath
0 0 moveto
width 0 lineto
width height lineto
0 height lineto
closepath
patternmatrix setmatrix
pathbbox
exch ceiling 4 -1 roll floor sub 3 1 roll
ceiling exch floor sub
mul 1 add
grestore
} def
/patterncachelimit
{
cachestatus 7 1 roll 6 npop 8 mul
} def
/patternpath
{
exch dup begin setfont
ctm setmatrix
concat
slice exch /b exch slice /q get dup mul mul put
FontMatrix concat
uniform
	{
	width 0 dtransform round width div exch round width div exch
	0 height dtransform round height div exch height div exch
	0 0 transform round exch round exch
	ptm astore setmatrix
	}
	{
	ptm currentmatrix pop
	} ifelse
{currentpoint} stopped not
	{
	2 npop
	pathbbox
	true
	4 index 3 index eq
	4 index 3 index eq
	and
		{
		pop false
			{
			{2 npop}
			{3 npop true}
			{7 npop true}
			{pop true}
			pathforall
			} stopped
			{
			5 npop true
			} if
		} if
		{
		height div ceiling height mul 4 1 roll
		width div ceiling width mul 4 1 roll
		height div floor height mul 4 1 roll
		width div floor width mul 4 1 roll
		2 index sub height div ceiling cvi exch
		3 index sub width div ceiling cvi exch
		4 2 roll moveto
		FontMatrix mtx invertmatrix
		dup dup 4 get exch 5 get rmoveto
		ptm ptm concatmatrix pop
		slice /s
		patterncachesize patterncachelimit div ceiling sqrt ceiling cvi
		dup slice /q get gt
			{
			pop slice /q get
			} if
		put
		0 1 slice /s get dup mul 1 sub
			{
			slice /b get add
			gsave
			0 1 str length 1 sub
				{
				str exch 2 index put
				} for
			pop
			dup
				{
				gsave
				ptm setmatrix
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				1 index str length mod str exch 0 exch getinterval show
				grestore
				0 height rmoveto
				} repeat
			grestore
			} for
		2 npop
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		{
		4 npop
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	} if
end
} def
/patternclip
{
clip
} def
/patternstrokepath
{
strokepath
} def
/patternmatrix
matrix def
/patternfill
{
dup type /dicttype eq
	{
	Adobe_pattern_AI3 /patternmatrix get
	} if
gsave
patternclip
Adobe_pattern_AI3 /patternpath get exec
grestore
newpath
} def
/patternstroke
{
dup type /dicttype eq
	{
	Adobe_pattern_AI3 /patternmatrix get
	} if
gsave
patternstrokepath
true
	{
		{
			{
			newpath 
			moveto
			}
			{
			lineto
			}
			{
			curveto
			}
			{
			closepath
			3 copy
			Adobe_pattern_AI3 /patternfill get exec
			} pathforall
		3 npop
		} stopped
			{
			5 npop
			patternclip
			Adobe_pattern_AI3 /patternfill get exec
			} if
	}
	{
	patternclip
	Adobe_pattern_AI3 /patternfill get exec
	} ifelse
grestore
newpath
} def
/patternashow
{
3 index type /dicttype eq
	{
	Adobe_pattern_AI3 /patternmatrix get 4 1 roll
	} if
	{
	2 npop (0) exch
	2 copy 0 exch put pop
	gsave
	false charpath currentpoint
	6 index 6 index 6 index
	Adobe_pattern_AI3 /patternfill get exec
	grestore
	newpath moveto
	2 copy rmoveto
	} exch cshow
5 npop
} def
/patternawidthshow
{
6 index type /dicttype eq
	{
	Adobe_pattern_AI3 /patternmatrix get 7 1 roll
	} if
	{
	2 npop (0) exch
	2 copy 0 exch put 
	gsave
	_sp eq {5 index 5 index rmoveto} if
	false charpath currentpoint
	9 index 9 index 9 index
	Adobe_pattern_AI3 /patternfill get exec
	grestore
	newpath moveto
	2 copy rmoveto
	} exch cshow
8 npop
} def
/patternashowstroke
{
4 index type /dicttype eq
	{
	patternmatrix /patternmatrix get 5 1 roll
	} if
4 1 roll
	{
	2 npop (0) exch
	2 copy 0 exch put pop
	gsave
	false charpath
	currentpoint
	4 index setmatrix
	7 index 7 index 7 index
	Adobe_pattern_AI3 /patternstroke get exec
	grestore
	newpath moveto
	2 copy rmoveto
	} exch cshow
6 npop
} def
/patternawidthshowstroke
{
7 index type /dicttype eq
	{
	patternmatrix /patternmatrix get 8 1 roll
	} if
7 1 roll
	{
	2 npop (0) exch
	2 copy 0 exch put
	gsave
	_sp eq {5 index 5 index rmoveto} if
	false charpath currentpoint
	7 index setmatrix
	10 index 10 index 10 index
	Adobe_pattern_AI3 /patternstroke get exec
	grestore
	newpath moveto
	2 copy rmoveto
	} exch cshow
9 npop
} def
currentdict readonly pop end
setpacking
%%EndResource
%%BeginResource: procset Adobe_Illustrator_AI3 1.1 0
%%Title: (Adobe Illustrator (R) Version 3.0 Full Prolog)
%%Version: 1.1 0
%%CreationDate: (3/7/1994) ()
%%Copyright: ((C) 1987-1996 Adobe Systems Incorporated All Rights Reserved)
currentpacking true setpacking
userdict /Adobe_Illustrator_AI3 71 dict dup begin put
/initialize
{
userdict /Adobe_Illustrator_AI3_vars 67 dict dup begin put
/_lp /none def
/_pf {} def
/_ps {} def
/_psf {} def
/_pss {} def
/_pjsf {} def
/_pjss {} def
/_pola 0 def
/_doClip 0 def
/cf	currentflat def
/_tm matrix def
/_renderStart [/e0 /r0 /a0 /o0 /e1 /r1 /a1 /i0] def 
/_renderEnd [null null null null /i1 /i1 /i1 /i1] def
/_render -1 def
/_rise 0 def
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/_leading [0 0] def
/_ctm matrix def
/_mtx matrix def
/_sp 16#020 def
/_hyphen (-) def
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/_hs 1 def
/_nativeEncoding 0 def
/_useNativeEncoding 0 def
/_tempEncode 0 def
/_pntr 0 def
/_tDict 2 dict def
/_wv 0 def
/Tx {} def
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/CRender {} def
/_AI3_savepage {} def
/_gf null def
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/_if null def
/_of false def
/_fc {} def
/_gs null def
/_cs 4 array def
/_is null def
/_os false def
/_sc {} def
/_pd 1 dict def
/_ed 15 dict def
/_pm matrix def
/_fm null def
/_fd null def
/_fdd null def
/_sm null def
/_sd null def
/_sdd null def
/_i null def
Adobe_Illustrator_AI3 begin
Adobe_Illustrator_AI3 dup /nc get begin
	{
	dup xcheck
		{
		bind
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	pop pop
	} forall
end
end
end
Adobe_Illustrator_AI3 begin
Adobe_Illustrator_AI3_vars begin
newpath
} def
/terminate
{
end
end
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/_
null def
/ddef
{
Adobe_Illustrator_AI3_vars 3 1 roll put
} def
/xput
{
dup load dup length exch maxlength eq
	{
	dup dup load dup
	length 2 mul dict copy def
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load begin def end
} def
/npop
{
	{
	pop
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/sw
{
dup length exch stringwidth
exch 5 -1 roll 3 index mul add
4 1 roll 3 1 roll mul add
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{
dup 4 1 roll
dup length exch stringwidth 
exch 5 -1 roll 3 index mul add
4 1 roll 3 1 roll mul add 
6 2 roll /_cnt 0 ddef
{1 index eq {/_cnt _cnt 1 add ddef} if} forall pop
exch _cnt mul exch _cnt mul 2 index add 4 1 roll 2 index add 4 1 roll pop pop
} def
/ss
{
4 1 roll
	{
	2 npop 
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	gsave
	false charpath currentpoint
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	grestore
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3 npop
} def
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{
4 1 roll
	{
	2 npop 
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	gsave
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		{
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		currentpoint
		}
		{
		false charpath currentpoint
		4 index setmatrix stroke
		}ifelse
	grestore
	moveto
	2 copy rmoveto
	} exch cshow
6 npop
} def
/sp
{
	{
	2 npop (0) exch
	2 copy 0 exch put pop
	false charpath
	2 copy rmoveto
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2 npop
} def
/jsp
{
	{
	2 npop 
	(0) exch 2 copy 0 exch put 
	_sp eq 
		{
		exch 5 index 5 index 5 index 5 -1 roll widthshow  
		}
		{
		false charpath
		}ifelse
	2 copy rmoveto
	} exch cshow
5 npop
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/pl
{
transform
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0.25 sub round 0.25 add exch
itransform
} def
/setstrokeadjust where
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	{
	curveto
	} def
	/C
	/c load def
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	{
	currentpoint 6 2 roll curveto
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	/V
	/v load def
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	{
	2 copy curveto
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	/y load def
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	lineto
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	{
	moveto
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	{
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	{
	pl lineto
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	{
	pl moveto
	} def
	} ifelse
/d
{
setdash
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/i
{
dup 0 eq
	{
	pop cf
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setflat
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{
setlinejoin
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/J
{
setlinecap
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/M
{
setmiterlimit
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/w
{
setlinewidth
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/H
{} def
/h
{
closepath
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/N
{
_pola 0 eq 
	{
	_doClip 1 eq {clip /_doClip 0 ddef} if 
	newpath
	} 
	{
	/CRender {N} ddef
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} def
/n
{N} def
/F
{
_pola 0 eq 
	{
	_doClip 1 eq 
		{
		gsave _pf grestore clip newpath /_lp /none ddef _fc 
		/_doClip 0 ddef
		}
		{
		_pf
		}ifelse
	} 
	{
	/CRender {F} ddef
	}ifelse
} def
/f
{
closepath
F
} def
/S
{
_pola 0 eq 
	{
	_doClip 1 eq 
		{
		gsave _ps grestore clip newpath /_lp /none ddef _sc 
		/_doClip 0 ddef
		}
		{
		_ps
		}ifelse
	} 
	{
	/CRender {S} ddef
	}ifelse
} def
/s
{
closepath
S
} def
/B
{
_pola 0 eq 
	{
	_doClip 1 eq
	gsave F grestore 
		{
		gsave S grestore clip newpath /_lp /none ddef _sc
		/_doClip 0 ddef
		} 
		{
		S
		}ifelse
	}
	{
	/CRender {B} ddef
	}ifelse
} def
/b
{
closepath
B
} def
/W
{
/_doClip 1 ddef
} def
/*
{
count 0 ne 
	{
	dup type (stringtype) eq {pop} if
	} if 
_pola 0 eq {newpath} if
} def
/u
{} def
/U
{} def
/q
{
_pola 0 eq {gsave} if
} def
/Q
{
_pola 0 eq {grestore} if
} def
/*u
{
_pola 1 add /_pola exch ddef
} def
/*U
{
_pola 1 sub /_pola exch ddef 
_pola 0 eq {CRender} if
} def
/D
{pop} def
/*w
{} def
/*W
{} def
/`
{
/_i save ddef
6 1 roll 4 npop
concat pop
userdict begin
/showpage {} def
0 setgray
0 setlinecap
1 setlinewidth
0 setlinejoin
10 setmiterlimit
[] 0 setdash
/setstrokeadjust where {pop false setstrokeadjust} if
newpath
0 setgray
false setoverprint
} def
/~
{
end
_i restore
} def
/@
{} def
/&
{} def
/O
{
0 ne
/_of exch ddef
/_lp /none ddef
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/R
{
0 ne
/_os exch ddef
/_lp /none ddef
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/g
{
/_gf exch ddef
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{
_lp /fill ne
	{
	_of setoverprint
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} ddef
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{
_fc
fill
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/_psf
{
_fc
ashow
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{
_fc
awidthshow
} ddef
/_lp /none ddef
} def
/G
{
/_gs exch ddef
/_sc
{
_lp /stroke ne
	{
	_os setoverprint
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	/_lp /stroke ddef
	} if
} ddef
/_ps
{
_sc
stroke
} ddef
/_pss
{
_sc
ss
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/_pjss
{
_sc
jss
} ddef
/_lp /none ddef
} def
/k
{
_cf astore pop
/_fc
{
_lp /fill ne
	{
	_of setoverprint
	_cf aload pop setcmykcolor
	/_lp /fill ddef
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} ddef
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{
_fc
fill
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/_psf
{
_fc
ashow
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{
_fc
awidthshow
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} def
/K
{
_cs astore pop
/_sc
{
_lp /stroke ne
	{
	_os setoverprint
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	/_lp /stroke ddef
	} if
} ddef
/_ps
{
_sc
stroke
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/_pss
{
_sc
ss
} ddef
/_pjss
{
_sc
jss
} ddef
/_lp /none ddef
} def
/x
{
/_gf exch ddef
findcmykcustomcolor
/_if exch ddef
/_fc
{
_lp /fill ne
	{
	_of setoverprint
	_if _gf 1 exch sub setcustomcolor
	/_lp /fill ddef
	} if
} ddef
/_pf
{
_fc
fill
} ddef
/_psf
{
_fc
ashow
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/_pjsf
{
_fc
awidthshow
} ddef
/_lp /none ddef
} def
/X
{
/_gs exch ddef
findcmykcustomcolor
/_is exch ddef
/_sc
{
_lp /stroke ne
	{
	_os setoverprint
	_is _gs 1 exch sub setcustomcolor
	/_lp /stroke ddef
	} if
} ddef
/_ps
{
_sc
stroke
} ddef
/_pss
{
_sc
ss
} ddef
/_pjss
{
_sc
jss
} ddef
/_lp /none ddef
} def
/dp
{
dup null eq
{
pop
_dp 0 ne
	{
	0 1 _dp 1 sub _dl mod
		{
		_da exch get 3 get
		} for
	_dp 1 sub _dl mod 1 add packedarray
	_da 0 get aload pop 8 -1 roll 5 -1 roll pop 4 1 roll
	definepattern pop
	} if
}
{
_dp 0 ne _dp _dl mod 0 eq and
	{
	null dp
	} if
7 packedarray _da exch _dp _dl mod exch put
_dp _dl mod _da 0 get 4 get 2 packedarray
/_dp _dp 1 add def
} ifelse
} def
/E
{
_ed begin
dup 0 get type /arraytype ne
	{
	0
		{
		dup 1 add index type /arraytype eq
			{
			1 add
			}
			{
			exit
			} ifelse
		} loop
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	} if
/_dd exch def
/_ury exch def
/_urx exch def
/_lly exch def
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/_y 0 def
/_dl 4 def
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/_da _dl array def
0 1 _dd length 1 sub
	{
	/_d exch _dd exch get def
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		{
		/_x exch def
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		/_r _d _x 1 add get cvlit def
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			{
			_urx _llx sub _ury _lly sub [1 0 0 1 0 0] 
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				_c
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					nc /begin cvx
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				_r dup type /stringtype eq
					{
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					{exec} /forall cvx
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				_c
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			/_fn 12 _n length add string def
			_y _fn cvs pop
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			_fn 12 _n putinterval
			_fn _c false dp
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			} if
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null dp
_n _dd /_pd
end xput
} def
/fc
{
_fm dup concatmatrix pop
} def
/p
{
/_fm exch ddef
9 -2 roll _pm translate fc
7 -2 roll _pm scale fc
5 -1 roll _pm rotate fc
4 -2 roll exch 0 ne
	{
	dup _pm rotate fc
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	neg _pm rotate fc
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	{
	pop
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dup _pm rotate fc
exch dup sin exch cos div 1 0 0 1 0 6 2 roll
_pm astore fc
neg _pm rotate fc
_pd exch get /_fdd exch ddef
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{
save
/_doClip 0 ddef
0 1 _fdd length 1 sub
	{
	/_fd exch _fdd exch get ddef
	_fd
	0 2 _fd length 2 sub
		{
		gsave
		2 copy get dup _ ne
			{
			cvx exec _fc
			}
			{
			pop
			} ifelse
		2 copy 1 add get dup _ ne
			{
			aload pop findfont _fm
			patternfill
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			{
			pop
			fill
			} ifelse
		grestore
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restore
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{
save
/_doClip 0 ddef
0 1 _fdd length 1 sub
	{
	/_fd exch _fdd exch get ddef
	_fd
	0 2 _fd length 2 sub
		{
		gsave
		2 copy get dup _ ne
			{
			cvx exec _fc
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			{
			pop
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		2 copy 1 add get dup _ ne
			{
			aload pop findfont _fm
			9 copy 6 npop patternashow
			}
			{
			pop
			6 copy 3 npop ashow
			} ifelse
		grestore
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restore
%3 npop newpath
sw rmoveto
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{
save
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0 1 _fdd length 1 sub
	{
	/_fd exch _fdd exch get ddef
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	0 2 _fd length 2 sub
		{
		gsave
		2 copy get dup _ ne
			{
			cvx exec _fc
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			pop
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		2 copy 1 add get dup _ ne
			{
			aload pop findfont _fm
			12 copy 6 npop patternawidthshow
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			{
			pop 9 copy 3 npop awidthshow
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restore
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/_lp /none ddef
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/sc
{
_sm dup concatmatrix pop
} def
/P
{
/_sm exch ddef
9 -2 roll _pm translate sc
7 -2 roll _pm scale sc
5 -1 roll _pm rotate sc
4 -2 roll exch 0 ne
	{
	dup _pm rotate sc
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	neg _pm rotate sc
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	{
	pop
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dup _pm rotate sc
exch dup sin exch cos div 1 0 0 1 0 6 2 roll
_pm astore sc
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{
save
/_doClip 0 ddef
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	{
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		{
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			cvx exec _sc
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			pop stroke
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restore
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	{
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restore
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			{
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restore
pop swj rmoveto
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/_lp /none ddef
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/A
{
pop
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nc begin
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/setcmykcolor
{
4 npop
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/setcustomcolor
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currentdict readonly pop end
currentdict readonly pop end
setpacking
/annotatepage
{
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%%EndResource
%%EndProlog
%%BeginSetup
%%IncludeFont: Courier
%%IncludeFont: Helvetica
%%IncludeFont: Symbol
Adobe_cshow /initialize get exec
Adobe_customcolor /initialize get exec
Adobe_typography_AI3 /initialize get exec
Adobe_pattern_AI3 /initialize get exec
Adobe_Illustrator_AI3 /initialize get exec
[
39/quotesingle 96/grave 128/Adieresis/Aring/Ccedilla/Eacute/Ntilde/Odieresis
/Udieresis/aacute/agrave/acircumflex/adieresis/atilde/aring/ccedilla/eacute
/egrave/ecircumflex/edieresis/iacute/igrave/icircumflex/idieresis/ntilde
/oacute/ograve/ocircumflex/odieresis/otilde/uacute/ugrave/ucircumflex
/udieresis/dagger/degree/cent/sterling/section/bullet/paragraph/germandbls
/registered/copyright/trademark/acute/dieresis/.notdef/AE/Oslash
/.notdef/plusminus/.notdef/.notdef/yen/mu/.notdef/.notdef
/.notdef/.notdef/.notdef/ordfeminine/ordmasculine/.notdef/ae/oslash
/questiondown/exclamdown/logicalnot/.notdef/florin/.notdef/.notdef
/guillemotleft/guillemotright/ellipsis/space/Agrave/Atilde/Otilde/OE/oe
/endash/emdash/quotedblleft/quotedblright/quoteleft/quoteright/divide
/.notdef/ydieresis/Ydieresis/fraction/currency/guilsinglleft/guilsinglright
/fi/fl/daggerdbl/periodcentered/quotesinglbase/quotedblbase/perthousand
/Acircumflex/Ecircumflex/Aacute/Edieresis/Egrave/Iacute/Icircumflex
/Idieresis/Igrave/Oacute/Ocircumflex/.notdef/Ograve/Uacute/Ucircumflex
/Ugrave/dotlessi/circumflex/tilde/macron/breve/dotaccent/ring/cedilla
/hungarumlaut/ogonek/caron
TE
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28.8145 39.7021 22.1191 39.7021 22.1191 36.0469 c
22.1191 32.3071 26.3945 32.3071 26.3945 28.5654 c
26.3945 24.832 24.4248 24.832 24.4248 21.0991 c
24.4248 17.4858 20.3838 17.4858 20.3838 13.8735 c
20.3838 10.2334 24.6055 10.2334 24.6055 6.5938 c
24.6055 2.8813 27.9268 4.7129 27.9268 1 C
11.9512 1 L
f
%AI6_EndPatternLayer
) &
(0 O 0 R 0.9216 0.2157 0.9451 0.0745 k
 0.9216 0.2157 0.9451 0.0745 K
) @
(
%AI6_BeginPatternLayer
0 J 0 j 1 w 4 M []0 d
41.875 1 m
41.875 4.7134 42.3867 2.8818 42.3867 6.5938 c
42.3867 10.2334 40.5947 10.2334 40.5947 13.8735 c
40.5947 17.4858 41.5742 17.4858 41.5742 21.0991 c
41.5742 24.832 43.6484 24.832 43.6484 28.5659 c
43.6484 32.3076 39.1709 32.3076 39.1709 36.0469 c
39.1709 39.7026 39.7549 39.7026 39.7549 43.356 c
39.7549 47.0566 45.3896 47.0566 45.3896 50.7568 c
45.3896 54.4043 40.1055 54.4043 40.1055 58.0542 c
40.1055 61.7686 40.6289 61.7686 40.6289 65.4805 c
40.6289 69.1636 41.875 69.3184 41.875 73 C
59.0752 73 L
59.0752 69.4219 53.4805 70.1934 53.4805 66.6143 c
53.4805 62.9136 55.8945 62.9136 55.8945 59.2153 c
55.8945 55.502 61.0059 55.502 61.0059 51.7886 c
61.0059 48.1489 60.5635 48.1489 60.5635 44.5103 c
60.5635 40.897 59.9277 40.897 59.9277 37.2842 c
59.9277 33.5508 56.3662 33.5508 56.3662 29.8169 c
56.3662 26.0762 61.0908 26.0762 61.0908 22.3354 c
61.0908 18.6812 52.6025 18.6812 52.6025 15.0264 c
52.6025 11.3262 55.7461 11.3262 55.7461 7.6265 c
55.7461 3.978 59.0752 4.6484 59.0752 1 C
41.875 1 L
f
%AI6_EndPatternLayer
) &
] E
%AI3_EndPattern
%%EndSetup
0 A
u
u
u
0 To
1 0 0 1 282.1338 404.5234 0 Tp
TP
0 Tr
0 O
0 g
0 J 0 j 1 w 4 M []0 d
/_Courier 10 Tf
0 Ts
100 Tz
0 Tt
0 TA
0 0 5 TC
100 100 200 TW
0 0 0 Ti
0 Ta
0 Tq
0 0 Tl
0 Tc
0 Tw
(0) Tx 
(\r) TX 
TO
8 i
0 R
0 G
1 J 1 j 0.5 w 10 M
141.5986 352.7314 m
360.9004 488.2695 l
360.9004 436.498 l
277.1343 352.7314 l
141.5986 352.7314 l
S
0 To
1 0 0 1 312.4551 394.5674 0 Tp
TP
0 Tr
0 O
0 g
0 J 0 j 1 w 4 M
(1) Tx 
(\r) TX 
TO
0 R
0 G
1 J 1 j 0.5 w 10 M
277.1343 352.7314 m
360.9004 436.498 l
277.1343 352.7314 l
S
0 To
1 0 0 1 339.6289 364.3779 0 Tp
TP
0 Tr
0 O
0 g
0 J 0 j 1 w 4 M
(2) Tx 
(\r) TX 
TO
0 R
0 G
1 J 1 j 0.5 w 10 M
360.9004 352.7314 m
277.1343 352.7314 l
360.9004 404.5005 l
360.9004 352.7314 l
S
0 To
1 0 0 1 320.8125 373.5811 0 Tp
TP
0 Tr
0 O
0 g
0 J 0 j 1 w 4 M
(3) Tx 
(\r) TX 
TO
0 R
0 G
1 J 1 j 0.5 w 10 M
277.1343 352.7314 m
360.9004 404.5005 l
277.1343 352.7314 l
S
0 To
1 0 0 1 340.4785 403.7998 0 Tp
TP
0 Tr
0 O
0 g
0 J 0 j 1 w 4 M
(4) Tx 
(\r) TX 
TO
0 R
0 G
1 J 1 j 0.5 w 10 M
360.9004 404.5005 m
277.1343 352.7314 l
360.9004 436.498 l
360.9004 404.5005 l
S
U
U
U
0 To
1 0 0 1 369.75 351 0 Tp
TP
0 Tr
0 O
0 0 0 1 k
0 J 0 j 1 w 4 M
/_Helvetica 12 Tf
1 TA
(0) Tx 1 0 Tk
(\r) TX 
TO
u
0 To
1 0 0 1 366.25 433 0 Tp
TP
0 Tr
/_Symbol 12 Tf
(l) Tx 1 0 Tk
(\r) TX 
TO
0 To
1 0 0 1 370.25 443 0 Tp
TP
0 Tr
/_Symbol 9 Tf
(2) Tx 1 0 Tk
/_Helvetica 9 Tf
(n+2) Tx 1 0 Tk
(\r) TX 
TO
U
u
0 To
1 0 0 1 364.25 485.5 0 Tp
TP
0 Tr
/_Symbol 12 Tf
(-l) Tx 1 0 Tk
(\r) TX 
TO
0 To
1 0 0 1 374.0254 495.4648 0 Tp
TP
0 Tr
/_Symbol 9 Tf
(2) Tx 1 0 Tk
/_Helvetica 9 Tf
(n+1) Tx 1 0 Tk
(\r) TX 
TO
U
u
0 To
1 0 0 1 363.75 401.5 0 Tp
TP
0 Tr
/_Symbol 12 Tf
(-l) Tx 1 0 Tk
(\r) TX 
TO
0 To
1 0 0 1 374.3682 410.3184 0 Tp
TP
0 Tr
/_Symbol 9 Tf
(2) Tx 1 0 Tk
/_Helvetica 9 Tf
(n+3) Tx 1 0 Tk
(\r) TX 
TO
U
u
0 To
1 0 0 1 127 331.75 0 Tp
TP
0 Tr
/_Symbol 12 Tf
(- l) Tx 1 0 Tk
(\r) TX 
TO
0 To
1 0 0 1 141.1182 341.0684 0 Tp
TP
0 Tr
/_Symbol 9 Tf
(2) Tx 1 0 Tk
/_Helvetica 9 Tf
(n) Tx 1 0 Tk
(\r) TX 
TO
U
u
0 To
1 0 0 1 266 334.25 0 Tp
TP
0 Tr
/_Symbol 12 Tf
(- l) Tx 1 0 Tk
(\r) TX 
TO
0 To
1 0 0 1 280.248 343.0684 0 Tp
TP
0 Tr
/_Symbol 9 Tf
(2) Tx 1 0 Tk
/_Helvetica 9 Tf
(n+2) Tx 1 0 Tk
(\r) TX 
TO
U
%%PageTrailer
gsave annotatepage grestore showpage
%%Trailer
Adobe_Illustrator_AI3 /terminate get exec
Adobe_pattern_AI3 /terminate get exec
Adobe_typography_AI3 /terminate get exec
Adobe_customcolor /terminate get exec
Adobe_cshow /terminate get exec
Adobe_packedarray /terminate get exec
%%EOF

%%EndDocument
 @endspecial 515 1819 a Fu(Figure)27 b(5:)38 b(Example)27
b(I:)i(lev)n(el-)p Fq(n)e Fu(return)g(map)i(partition.)38
b(All)28 b(co)r(ordinates)f(are)g(relativ)n(e)515 1919
y(to)e(the)h(accum)n(ulation)e(p)r(oin)n(t)i(at)f(\(0)p
Fq(;)j(\034)9 b Fu(\).)37 b(The)26 b(domains)e(0)p Fq(;)14
b Fu(2)p Fq(;)g Fu(4)24 b(are)h(op)r(en)g(p)r(olygons;)g(1)p
Fq(;)14 b Fu(3)515 2019 y(are)26 b(op)r(en)i(segmen)n(ts.)830
4186 y @beginspecial 175 @llx 307 @lly 443 @urx 484 @ury
2680 @rwi @setspecial
%%BeginDocument: fig.ExampleI.3.eps
%!PS-Adobe-3.0 EPSF-3.0
%%Creator: Adobe Illustrator(TM) 3.2
%%AI8_CreatorVersion: 10.0
%%For: (John H. Lowenstein) (New York University)
%%Title: (fig.ExampleI3A.eps)
%%CreationDate: 3/18/02 4:05 PM
%%BoundingBox: 175 307 443 484
%%DocumentProcessColors: Black
%%DocumentFonts: Courier
%%+ Helvetica
%%+ Symbol
%%DocumentNeededFonts: Courier
%%+ Helvetica
%%+ Symbol
%%DocumentSuppliedResources: procset Adobe_packedarray 2.0 0
%%+ procset Adobe_cshow 1.1 0
%%+ procset Adobe_customcolor 1.0 0
%%+ procset Adobe_typography_AI3 1.0 1
%%+ procset Adobe_pattern_AI3 1.0 0
%%+ procset Adobe_Illustrator_AI3 1.0 1
%AI3_ColorUsage: Color
%AI3_IncludePlacedImages
%AI3_TemplateBox: 306.5 395.5 306.5 395.5
%AI3_TileBox: 30 35 582 761
%AI3_DocumentPreview: Header
%%PageOrigin:30 35
%%AI3_PaperRect:-30 761 582 -31
%%AI3_Margin:30 -31 -30 31
%AI7_GridSettings: 72 8 72 8 1 0 0.8 0.8 0.8 0.9 0.9 0.9
%AI9_Flatten: 1
%%EndComments
%%BeginProlog
%%BeginResource: procset Adobe_packedarray 2.0 0
%%Title: (Packed Array Operators)
%%Version: 2.0 0
%%CreationDate: (8/2/90) ()
%%Copyright: ((C) 1987-1996 Adobe Systems Incorporated All Rights Reserved)
userdict /Adobe_packedarray 5 dict dup begin put
/initialize
{
/packedarray where
	{
	pop
	}
	{
	Adobe_packedarray begin
	Adobe_packedarray
		{
		dup xcheck
			{
			bind
			} if
		userdict 3 1 roll put
		} forall
 end
	} ifelse
} def
/terminate
{
} def
/packedarray
{
array astore readonly
} def
/setpacking
{
pop
} def
/currentpacking
{
false
} def
currentdict readonly pop end
%%EndResource
Adobe_packedarray /initialize get exec
%%BeginResource: procset Adobe_cshow 1.1 0
%%Title: (cshow Operator)
%%Version: 1.1 0
%%CreationDate: (1/23/89) ()
%%Copyright: ((C) 1987-1996 Adobe Systems Incorporated All Rights Reserved)
currentpacking true setpacking
userdict /Adobe_cshow 3 dict dup begin put
/initialize
{
/cshow where
	{
	pop
	}
	{
	userdict /Adobe_cshow_vars 1 dict dup begin put
	/_cshow
		{} def
	Adobe_cshow begin
	Adobe_cshow
		{
		dup xcheck
			{
			bind
			} if
		userdict 3 1 roll put
		} forall
 end
 end
	} ifelse
} def
/terminate
{
} def
/cshow
{
exch
Adobe_cshow_vars
	exch /_cshow
	exch put
	{
	0 0 Adobe_cshow_vars /_cshow get exec
	} forall
} def
currentdict readonly pop end
setpacking
%%EndResource
%%BeginResource: procset Adobe_customcolor 1.0 0
%%Title: (Custom Color Operators)
%%Version: 1.0 0
%%CreationDate: (5/9/88) ()
%%Copyright: ((C) 1987-1996 Adobe Systems Incorporated All Rights Reserved)
currentpacking true setpacking
userdict /Adobe_customcolor 5 dict dup begin put
/initialize
{
/setcustomcolor where
	{
	pop
	}
	{
	Adobe_customcolor begin
	Adobe_customcolor
		{
		dup xcheck
			{
			bind
			} if
		pop pop
		} forall
 end
	Adobe_customcolor begin
	} ifelse
} def
/terminate
{
currentdict Adobe_customcolor eq
	{
 end
	} if
} def
/findcmykcustomcolor
{
5 packedarray
}  def
/setcustomcolor
{
exch
aload pop pop
4
	{
	4 index mul 4 1 roll
	} repeat
5 -1 roll pop
setcmykcolor
} def
/setoverprint
{
pop
} def
currentdict readonly pop end
setpacking
%%EndResource
%%BeginResource: procset Adobe_typography_AI3 2.0 0
%%Title: (Typography Operators)
%%Version: 2.0 0
%%CreationDate:(5/31/90) ()
%%Copyright: ((C) 1987-1996 Adobe Systems Incorporated All Rights Reserved)
currentpacking true setpacking
userdict /Adobe_typography_AI3 48 dict dup begin put
/initialize
{
/TZ
 where
	{
	pop
	}
	{
	Adobe_typography_AI3 begin
	Adobe_typography_AI3
		{
		dup xcheck
			{
			bind
			} if
		pop pop
		} forall
 end
	Adobe_typography_AI3 begin
	} ifelse
} def
/terminate
{
currentdict Adobe_typography_AI3 eq
	{
 end
	} if
} def
/modifyEncoding
{
	/_tempEncode exch ddef
	
	/_pntr 0 ddef
	
	{
		counttomark -1 roll
		dup type dup /marktype eq 		
		{
			pop pop exit
		}
		{
			/nametype eq
			{
				_tempEncode /_pntr dup load dup 3 1 roll 1 add ddef 3 -1 roll
				put
			}
			{
				/_pntr exch ddef					
			}
			ifelse
		}
		ifelse
	}
	loop	
	
	_tempEncode
}
def
/TE
{
	StandardEncoding 256 array copy modifyEncoding 
	/_nativeEncoding exch def
} def
%
/TZ		
{
	dup type /arraytype eq {/_wv exch def} {/_wv 0 def} ifelse 
	/_useNativeEncoding exch def
	pop pop
	
	findfont _wv type /arraytype eq {_wv makeblendedfont} if dup length 2 add dict
	
 begin
	
		mark exch
		{
			1 index /FID ne { def } if cleartomark mark
		}
		forall
		pop
		
		/FontName exch def
		
		counttomark 0 eq
		{
			1 _useNativeEncoding eq
			{
				/Encoding _nativeEncoding def
			}
			if
			cleartomark
		}
		{	
			/Encoding load 256 array copy 
			modifyEncoding /Encoding exch def
		}
		ifelse		
		FontName currentdict
 end
	
	definefont pop
}
def
/tr
{
_ax _ay 3 2 roll
} def
/trj
{
_cx _cy _sp _ax _ay 6 5 roll
} def
/a0
{
/Tx
	{
	dup 
	currentpoint 3 2 roll
	tr _psf
	newpath moveto
	tr _ctm _pss
	} ddef
/Tj
	{
	dup
	currentpoint 3 2 roll
	trj _pjsf
	newpath moveto
	trj _ctm _pjss
	} ddef
	
} def
/a1
{
/Tx
	{
	dup currentpoint 4 2 roll gsave
	dup currentpoint 3 2 roll
	tr _psf
	newpath moveto
	tr _ctm _pss
	grestore 3 1 roll moveto tr sp
	} ddef
/Tj
	{
	dup currentpoint 4 2 roll gsave
	dup currentpoint 3 2 roll
	trj _pjsf
	newpath moveto
	trj _ctm _pjss
	grestore 3 1 roll moveto tr sp
	} ddef
	
} def
/e0
{
/Tx
	{
	tr _psf
	} ddef
/Tj
	{
	trj _pjsf
	} ddef
} def
/e1
{
/Tx
	{
	dup currentpoint 4 2 roll gsave 
	tr _psf  
	grestore 3 1 roll moveto tr sp 
	} ddef
/Tj
	{
	dup currentpoint 4 2 roll gsave 
	trj _pjsf
	grestore 3 1 roll moveto tr sp 
	} ddef
} def
/i0
{
/Tx
	{
	tr sp
	} ddef
/Tj
	{
	trj jsp
	} ddef
} def
/i1
{
W N
} def
/o0
{
/Tx
	{
	tr sw rmoveto
	} ddef
/Tj
	{
	trj swj rmoveto
	} ddef
} def
/r0
{
/Tx
	{
	tr _ctm _pss
	} ddef
/Tj
	{
	trj _ctm _pjss
	} ddef
} def
/r1
{
/Tx
	{
	dup currentpoint 4 2 roll currentpoint gsave newpath moveto
	tr _ctm _pss 
	grestore 3 1 roll moveto tr sp 
	} ddef
/Tj
	{
	dup currentpoint 4 2 roll currentpoint gsave newpath moveto
	trj _ctm _pjss
	grestore 3 1 roll moveto tr sp 
	} ddef
} def
/To
{
	pop _ctm currentmatrix pop
} def
/TO
{
	iTe _ctm setmatrix newpath
} def
/Tp
{
	pop _tm astore pop _ctm setmatrix 
	_tDict begin /W {} def /h {} def
} def
/TP
{
 end
	iTm 0 0 moveto
} def
/Tr
{
	_render 3 le {currentpoint newpath moveto} if
	dup 8 eq {pop 0} {dup 9 eq {pop 1} if} ifelse
	dup /_render exch ddef
	_renderStart exch get load exec
} def
/iTm
{
_ctm setmatrix _tm concat 0 _rise translate _hs 1 scale
} def
/Tm
{
_tm astore pop iTm 0 0 moveto
} def
/Td
{
_mtx translate _tm _tm concatmatrix pop iTm 0 0 moveto
} def
/iTe
{
	_render -1 eq {} {_renderEnd _render get dup null ne {load exec} {pop} ifelse} ifelse
	/_render -1 ddef
} def
/Ta
{
pop
} def
/Tf
{
dup 1000 div /_fScl exch ddef
exch findfont exch scalefont setfont
} def
/Tl
{
pop
0 exch _leading astore pop
} def
/Tt
{
pop
} def
/TW
{
3 npop
} def
/Tw
{
/_cx exch ddef
} def
/TC
{
3 npop
} def
/Tc
{
/_ax exch ddef
} def
/Ts
{
/_rise exch ddef
currentpoint
iTm
moveto
} def
/Ti
{
3 npop
} def
/Tz
{
100 div /_hs exch ddef
iTm
} def
/TA
{
pop
} def
/Tq
{
pop
} def
/Th
{
pop pop pop pop pop
} def
/TX {pop} def
%/Tx
%/Tj
/Tk
{
exch pop _fScl mul neg 0 rmoveto
} def
/TK
{
2 npop
} def
/T*
{
_leading aload pop neg Td
} def
/T*-
{
_leading aload pop Td
} def
/T-
{
_hyphen Tx
} def
/T+
{} def
/TR
{
_ctm currentmatrix pop 	
_tm astore pop 
iTm 0 0 moveto 
} def
/TS
{
0 eq {Tx} {Tj} ifelse
} def
currentdict readonly pop end
setpacking
%%EndResource
%%BeginResource: procset Adobe_pattern_AI3 1.1 0
%%Title: (Adobe Illustrator (R) Version 3.0 Pattern Operators)
%%Version: 1.1 0
%%CreationDate: (7/21/89) ()
%%Copyright: ((C) 1987-1996 Adobe Systems Incorporated All Rights Reserved)
currentpacking true setpacking
userdict /Adobe_pattern_AI3 16 dict dup begin put
/initialize
{
/definepattern where
	{
	pop
	}
	{
	Adobe_pattern_AI3 begin
	Adobe_pattern_AI3
		{
		dup xcheck
			{
			bind
			} if
		pop pop
		} forall
	mark
	cachestatus 7 1 roll pop pop pop pop exch pop exch
		{
		{
		10000 add
		dup 2 index gt
			{
			exit
			} if
		dup setcachelimit
		} loop
		} stopped
	cleartomark
	} ifelse
} def
/terminate
{
currentdict Adobe_pattern_AI3 eq
	{
 end
	} if
} def
errordict
/nocurrentpoint
{
pop
stop
} put
errordict
/invalidaccess
{
pop
stop
} put
/patternencoding
256 array def
0 1 255
{
patternencoding exch ( ) 2 copy exch 0 exch put cvn put
} for
/definepattern
{
17 dict begin
/uniform exch def
/cache exch def
/key exch def
/procarray exch def
/mtx exch matrix invertmatrix def
/height exch def
/width exch def
/ctm matrix currentmatrix def
/ptm matrix def
/str 32 string def
/slice 9 dict def
slice /s 1 put
slice /q 256 procarray length div sqrt floor cvi put
slice /b 0 put
/FontBBox [0 0 0 0] def
/FontMatrix mtx matrix copy def
/Encoding patternencoding def
/FontType 3 def
/BuildChar
	{
	exch
 begin
	/setstrokeadjust where {pop true setstrokeadjust} if
	slice begin
	dup q dup mul mod s idiv /i exch def
	dup q dup mul mod s mod /j exch def
	q dup mul idiv procarray exch get
	/xl j width s div mul def
	/xg j 1 add width s div mul def
	/yl i height s div mul def
	/yg i 1 add height s div mul def
	uniform
		{
		1 1
		}
		{
		width 0 dtransform
		dup mul exch dup mul add sqrt dup 1 add exch div
		0 height dtransform
		dup mul exch dup mul add sqrt dup 1 add exch div
		} ifelse
	width 0 cache
		{
		xl 4 index mul yl 4 index mul xg 6 index mul yg 6 index mul
		setcachedevice
		}
		{
		setcharwidth
		} ifelse
	gsave
	scale
	newpath
	xl yl moveto
	xg yl lineto
	xg yg lineto
	xl yg lineto
	closepath
	clip
	newpath
 end
 end
	exec
	grestore
	} def
key currentdict definefont
end
} def
/patterncachesize
{
gsave
newpath
0 0 moveto
width 0 lineto
width height lineto
0 height lineto
closepath
patternmatrix setmatrix
pathbbox
exch ceiling 4 -1 roll floor sub 3 1 roll
ceiling exch floor sub
mul 1 add
grestore
} def
/patterncachelimit
{
cachestatus 7 1 roll 6 npop 8 mul
} def
/patternpath
{
exch dup begin setfont
ctm setmatrix
concat
slice exch /b exch slice /q get dup mul mul put
FontMatrix concat
uniform
	{
	width 0 dtransform round width div exch round width div exch
	0 height dtransform round height div exch height div exch
	0 0 transform round exch round exch
	ptm astore setmatrix
	}
	{
	ptm currentmatrix pop
	} ifelse
{currentpoint} stopped not
	{
	2 npop
	pathbbox
	true
	4 index 3 index eq
	4 index 3 index eq
	and
		{
		pop false
			{
			{2 npop}
			{3 npop true}
			{7 npop true}
			{pop true}
			pathforall
			} stopped
			{
			5 npop true
			} if
		} if
		{
		height div ceiling height mul 4 1 roll
		width div ceiling width mul 4 1 roll
		height div floor height mul 4 1 roll
		width div floor width mul 4 1 roll
		2 index sub height div ceiling cvi exch
		3 index sub width div ceiling cvi exch
		4 2 roll moveto
		FontMatrix mtx invertmatrix
		dup dup 4 get exch 5 get rmoveto
		ptm ptm concatmatrix pop
		slice /s
		patterncachesize patterncachelimit div ceiling sqrt ceiling cvi
		dup slice /q get gt
			{
			pop slice /q get
			} if
		put
		0 1 slice /s get dup mul 1 sub
			{
			slice /b get add
			gsave
			0 1 str length 1 sub
				{
				str exch 2 index put
				} for
			pop
			dup
				{
				gsave
				ptm setmatrix
				1 index str length idiv {str show} repeat
				1 index str length mod str exch 0 exch getinterval show
				grestore
				0 height rmoveto
				} repeat
			grestore
			} for
		2 npop
		}
		{
		4 npop
		} ifelse
	} if
end
} def
/patternclip
{
clip
} def
/patternstrokepath
{
strokepath
} def
/patternmatrix
matrix def
/patternfill
{
dup type /dicttype eq
	{
	Adobe_pattern_AI3 /patternmatrix get
	} if
gsave
patternclip
Adobe_pattern_AI3 /patternpath get exec
grestore
newpath
} def
/patternstroke
{
dup type /dicttype eq
	{
	Adobe_pattern_AI3 /patternmatrix get
	} if
gsave
patternstrokepath
true
	{
		{
			{
			newpath 
			moveto
			}
			{
			lineto
			}
			{
			curveto
			}
			{
			closepath
			3 copy
			Adobe_pattern_AI3 /patternfill get exec
			} pathforall
		3 npop
		} stopped
			{
			5 npop
			patternclip
			Adobe_pattern_AI3 /patternfill get exec
			} if
	}
	{
	patternclip
	Adobe_pattern_AI3 /patternfill get exec
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grestore
newpath
} def
/patternashow
{
3 index type /dicttype eq
	{
	Adobe_pattern_AI3 /patternmatrix get 4 1 roll
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	{
	2 npop (0) exch
	2 copy 0 exch put pop
	gsave
	false charpath currentpoint
	6 index 6 index 6 index
	Adobe_pattern_AI3 /patternfill get exec
	grestore
	newpath moveto
	2 copy rmoveto
	} exch cshow
5 npop
} def
/patternawidthshow
{
6 index type /dicttype eq
	{
	Adobe_pattern_AI3 /patternmatrix get 7 1 roll
	} if
	{
	2 npop (0) exch
	2 copy 0 exch put 
	gsave
	_sp eq {5 index 5 index rmoveto} if
	false charpath currentpoint
	9 index 9 index 9 index
	Adobe_pattern_AI3 /patternfill get exec
	grestore
	newpath moveto
	2 copy rmoveto
	} exch cshow
8 npop
} def
/patternashowstroke
{
4 index type /dicttype eq
	{
	patternmatrix /patternmatrix get 5 1 roll
	} if
4 1 roll
	{
	2 npop (0) exch
	2 copy 0 exch put pop
	gsave
	false charpath
	currentpoint
	4 index setmatrix
	7 index 7 index 7 index
	Adobe_pattern_AI3 /patternstroke get exec
	grestore
	newpath moveto
	2 copy rmoveto
	} exch cshow
6 npop
} def
/patternawidthshowstroke
{
7 index type /dicttype eq
	{
	patternmatrix /patternmatrix get 8 1 roll
	} if
7 1 roll
	{
	2 npop (0) exch
	2 copy 0 exch put
	gsave
	_sp eq {5 index 5 index rmoveto} if
	false charpath currentpoint
	7 index setmatrix
	10 index 10 index 10 index
	Adobe_pattern_AI3 /patternstroke get exec
	grestore
	newpath moveto
	2 copy rmoveto
	} exch cshow
9 npop
} def
currentdict readonly pop end
setpacking
%%EndResource
%%BeginResource: procset Adobe_Illustrator_AI3 1.1 0
%%Title: (Adobe Illustrator (R) Version 3.0 Full Prolog)
%%Version: 1.1 0
%%CreationDate: (3/7/1994) ()
%%Copyright: ((C) 1987-1996 Adobe Systems Incorporated All Rights Reserved)
currentpacking true setpacking
userdict /Adobe_Illustrator_AI3 71 dict dup begin put
/initialize
{
userdict /Adobe_Illustrator_AI3_vars 67 dict dup begin put
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Adobe_Illustrator_AI3 begin
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/terminate
{
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Adobe_Illustrator_AI3_vars 3 1 roll put
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3 npop
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4 1 roll
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6 npop
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transform
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setdash
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setlinejoin
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setlinecap
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setmiterlimit
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setlinewidth
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{} def
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closepath
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		{
		_pf
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	{
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{
closepath
F
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{
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	{
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		{
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	{
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{
closepath
S
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		{
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{
closepath
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{
/_doClip 1 ddef
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/*
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{} def
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{} def
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{
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/*W
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userdict begin
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newpath
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/~
{
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{
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awidthshow
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{
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stroke
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ss
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{
_sc
jss
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{
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{
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fill
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{
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stroke
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ss
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_sc
jss
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{
/_gf exch ddef
findcmykcustomcolor
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{
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_fc
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awidthshow
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/X
{
/_gs exch ddef
findcmykcustomcolor
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{
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stroke
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{
_sc
ss
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{
_sc
jss
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/dp
{
dup null eq
{
pop
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	{
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		{
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{
_dp 0 ne _dp _dl mod 0 eq and
	{
	null dp
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7 packedarray _da exch _dp _dl mod exch put
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} ifelse
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{
_ed begin
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_sm dup concatmatrix pop
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restore
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/Ugrave/dotlessi/circumflex/tilde/macron/breve/dotaccent/ring/cedilla
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41.875 1 m
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42.3867 10.2334 40.5947 10.2334 40.5947 13.8735 c
40.5947 17.4858 41.5742 17.4858 41.5742 21.0991 c
41.5742 24.832 43.6484 24.832 43.6484 28.5659 c
43.6484 32.3076 39.1709 32.3076 39.1709 36.0469 c
39.1709 39.7026 39.7549 39.7026 39.7549 43.356 c
39.7549 47.0566 45.3896 47.0566 45.3896 50.7568 c
45.3896 54.4043 40.1055 54.4043 40.1055 58.0542 c
40.1055 61.7686 40.6289 61.7686 40.6289 65.4805 c
40.6289 69.1636 41.875 69.3184 41.875 73 C
59.0752 73 L
59.0752 69.4219 53.4805 70.1934 53.4805 66.6143 c
53.4805 62.9136 55.8945 62.9136 55.8945 59.2153 c
55.8945 55.502 61.0059 55.502 61.0059 51.7886 c
61.0059 48.1489 60.5635 48.1489 60.5635 44.5103 c
60.5635 40.897 59.9277 40.897 59.9277 37.2842 c
59.9277 33.5508 56.3662 33.5508 56.3662 29.8169 c
56.3662 26.0762 61.0908 26.0762 61.0908 22.3354 c
61.0908 18.6812 52.6025 18.6812 52.6025 15.0264 c
52.6025 11.3262 55.7461 11.3262 55.7461 7.6265 c
55.7461 3.978 59.0752 4.6484 59.0752 1 C
41.875 1 L
f
%AI6_EndPatternLayer
) &
] E
%AI3_EndPattern
%%EndSetup
0 A
u
u
u
8 i
0 R
0 G
1 J 1 j 0.5 w 10 M []0 d
189.9736 332.2314 m
409.2754 467.7695 l
409.2754 415.998 l
325.5098 332.2314 l
189.9736 332.2314 l
S
325.5098 332.2314 m
409.2754 415.998 l
325.5098 332.2314 l
S
409.2754 332.2314 m
325.5098 332.2314 l
409.2754 384 l
409.2754 332.2314 l
S
325.5098 332.2314 m
409.2754 384 l
325.5098 332.2314 l
S
410.4004 383.9375 m
326.6348 332.1689 l
409.2754 415.998 l
409.2754 384 l
S
U
U
U
0 To
1 0 0 1 418.125 330.5 0 Tp
TP
0 Tr
0 O
0 0 0 1 k
0 J 0 j 1 w 4 M
/_Helvetica 12 Tf
0 Ts
100 Tz
0 Tt
1 TA
0 0 5 TC
100 100 200 TW
0 0 0 Ti
0 Ta
0 Tq
0 0 Tl
0 Tc
0 Tw
(0) Tx 1 0 Tk
(\r) TX 
TO
u
0 To
1 0 0 1 414.625 412.5 0 Tp
TP
0 Tr
/_Symbol 12 Tf
(l) Tx 1 0 Tk
(\r) TX 
TO
0 To
1 0 0 1 418.625 422.5 0 Tp
TP
0 Tr
/_Symbol 9 Tf
(2) Tx 1 0 Tk
/_Helvetica 9 Tf
(n+2) Tx 1 0 Tk
(\r) TX 
TO
U
u
0 To
1 0 0 1 412.625 465 0 Tp
TP
0 Tr
/_Symbol 12 Tf
(-l) Tx 1 0 Tk
(\r) TX 
TO
0 To
1 0 0 1 422.4004 474.9648 0 Tp
TP
0 Tr
/_Symbol 9 Tf
(2) Tx 1 0 Tk
/_Helvetica 9 Tf
(n+1) Tx 1 0 Tk
(\r) TX 
TO
U
u
0 To
1 0 0 1 412.125 381 0 Tp
TP
0 Tr
/_Symbol 12 Tf
(-l) Tx 1 0 Tk
(\r) TX 
TO
0 To
1 0 0 1 422.7432 389.8184 0 Tp
TP
0 Tr
/_Symbol 9 Tf
(2) Tx 1 0 Tk
/_Helvetica 9 Tf
(n+3) Tx 1 0 Tk
(\r) TX 
TO
U
u
0 To
1 0 0 1 175.375 311.25 0 Tp
TP
0 Tr
/_Symbol 12 Tf
(- l) Tx 1 0 Tk
(\r) TX 
TO
0 To
1 0 0 1 189.4932 320.5684 0 Tp
TP
0 Tr
/_Symbol 9 Tf
(2) Tx 1 0 Tk
/_Helvetica 9 Tf
(n) Tx 1 0 Tk
(\r) TX 
TO
U
u
0 To
1 0 0 1 314.375 313.75 0 Tp
TP
0 Tr
/_Symbol 12 Tf
(- l) Tx 1 0 Tk
(\r) TX 
TO
0 To
1 0 0 1 328.623 322.5684 0 Tp
TP
0 Tr
/_Symbol 9 Tf
(2) Tx 1 0 Tk
/_Helvetica 9 Tf
(n+2) Tx 1 0 Tk
(\r) TX 
TO
U
u
u
0 R
0 G
1 J 1 j 2 w 10 M
273.8213 351.6035 m
293.582 363.8135 l
305.7954 383.5742 l
293.582 383.5742 l
273.8213 363.8135 l
273.8213 351.6035 l
S
0.5 w
305.7954 383.5742 m
293.582 383.5742 l
305.7954 383.5742 l
S
273.8213 351.6035 m
293.582 363.8135 l
273.8213 351.6035 l
S
273.8213 351.6035 m
273.8213 351.6035 l
S
2 w
273.8213 363.8135 m
293.582 383.5742 l
273.8213 363.8135 l
S
0.5 w
293.582 383.5742 m
293.582 383.5742 l
S
273.8213 363.8135 m
273.8213 363.8135 l
S
0 To
1 0 0 1 297.7192 371.7031 0 Tp
TP
0 Tr
0 O
0 g
0 J 0 j 1 w 4 M
/_Courier 6.5649 Tf
0 TA
(8) Tx 
(\r) TX 
TO
0 R
0 G
1 J 1 j 0.5 w 10 M
273.8213 331.8418 m
325.5566 415.5479 l
273.8213 331.8418 l
S
2 w
409.2627 467.2822 m
325.5566 415.5479 l
273.8213 331.8418 l
325.5566 331.8418 l
409.2627 415.5479 l
409.2627 467.2822 l
S
U
U
0 i
408.125 382.5 m
361.125 353.5 l
S
0 O
0 g
0 J 0 j 1 w 4 M
379 361.9375 m
380.3672 361.9375 381.4746 363.0449 381.4746 364.4121 c
381.4746 365.7793 380.3672 366.8867 379 366.8867 c
377.6328 366.8867 376.5254 365.7793 376.5254 364.4121 c
376.5254 363.0449 377.6328 361.9375 379 361.9375 c
f
363.125 352.5254 m
364.4922 352.5254 365.5996 353.6328 365.5996 355 c
365.5996 356.3672 364.4922 357.4746 363.125 357.4746 c
361.7578 357.4746 360.6504 356.3672 360.6504 355 c
360.6504 353.6328 361.7578 352.5254 363.125 352.5254 c
f
0 To
1 0 0 1 283.9585 364.334 0 Tp
TP
0 Tr
0 0 0 1 k
/_Helvetica 10 Tf
1 TA
(0) Tx 1 0 Tk
(\r) TX 
TO
0 To
1 0 0 1 342.459 386 0 Tp
TP
0 Tr
(1) Tx 1 0 Tk
(\r) TX 
TO
0 To
1 0 0 1 395.625 365.5 0 Tp
TP
0 Tr
(2) Tx 1 0 Tk
(\r) TX 
TO
0 To
1 0 0 1 382.125 356 0 Tp
TP
0 Tr
(3) Tx 1 0 Tk
(\r) TX 
TO
0 To
1 0 0 1 370.791 351.334 0 Tp
TP
0 Tr
(4) Tx 1 0 Tk
(\r) TX 
TO
0 To
1 0 0 1 361.791 344.334 0 Tp
TP
0 Tr
(5) Tx 1 0 Tk
(\r) TX 
TO
0 To
1 0 0 1 286.6509 362.6758 0 Tp
TP
0 Tr
/_Helvetica 8 Tf
(\r) TX 1 0 Tk
TO
0 To
1 0 0 1 345.125 384 0 Tp
TP
0 Tr
(\r) TX 1 0 Tk
TO
0 To
1 0 0 1 402.1504 363.6758 0 Tp
TP
0 Tr
(\r) TX 1 0 Tk
TO
0 To
1 0 0 1 389.1504 353.6758 0 Tp
TP
0 Tr
(\r) TX 1 0 Tk
TO
0 To
1 0 0 1 377.625 348 0 Tp
TP
0 Tr
(\r) TX 1 0 Tk
TO
0 To
1 0 0 1 365.6504 339.1758 0 Tp
TP
0 Tr
(\r) TX 1 0 Tk
TO
0 To
1 0 0 1 347.959 338 0 Tp
TP
0 Tr
/_Helvetica 10 Tf
(r) Tx 1 0 Tk
(\r) TX 
TO
0 To
1 0 0 1 352.4004 334.4258 0 Tp
TP
0 Tr
/_Helvetica 8 Tf
(\r) TX 1 0 Tk
TO
%%PageTrailer
gsave annotatepage grestore showpage
%%Trailer
Adobe_Illustrator_AI3 /terminate get exec
Adobe_pattern_AI3 /terminate get exec
Adobe_typography_AI3 /terminate get exec
Adobe_customcolor /terminate get exec
Adobe_cshow /terminate get exec
Adobe_packedarray /terminate get exec
%%EOF

%%EndDocument
 @endspecial 515 4368 a(Figure)j(6:)44 b(Example)31 b(I:)h(p)r(erio)r
(dic)f(domains,)h(\005)2064 4325 y Fo(\()p Fr(n)p Fo(\))2064
4391 y Fr(j)2162 4368 y Fu(,)h(for)e Fq(n)e Fs(\025)h
Fu(0.)48 b(The)32 b(lab)r(els)f(represen)n(t)515 4468
y(the)d(v)-5 b(alues)27 b(of)h Fq(j)5 b Fu(.)38 b(The)28
b(domains)f(0)h(and)f(1)h(are)f(op)r(en)h(p)r(olygons;)e(2)i(and)g(4)f
(are)g(op)r(en)h(line)515 4579 y(segmen)n(ts;)34 b(3)e(and)h(5)f(are)f
(p)r(oin)n(ts.)52 b(The)33 b(segmen)n(t)f Fq(r)j Fu(in)e(domain)f
Fq(D)2701 4536 y Fo(\()p Fr(n)p Fo(\))2699 4601 y(3)2831
4579 y Fu(is)g(the)h(image)f(of)515 4696 y Fq(D)586 4653
y Fo(\()p Fr(n)p Fo(+1\))584 4718 y(3)767 4696 y Fu(,)23
b(under)f(iterated)g(application)g(of)g(the)g(lev)n(el-)p
Fq(n)g Fu(return)f(map.)35 b(This)22 b(diagram)f(th)n(us)515
4813 y(giv)n(es)26 b(a)i(recursiv)n(e)e(picture)h(of)h(the)g(complete)g
(p)r(erio)r(dic-orbit)f(structure)g(of)h Fq(D)3049 4770
y Fo(\()p Fr(n)p Fo(\))3047 4835 y(3)3146 4813 y Fu(.)37
b(Note)515 4930 y(the)28 b(follo)n(wing)e(ratios)h(of)g(lengths:)37
b Fs(j)p Fu(2)p Fs(j)23 b Fu(:)g Fs(j)p Fu(4)p Fs(j)f
Fu(:)h Fs(j)p Fq(r)r Fs(j)h Fu(:)g Fs(j)p Fq(D)2216 4887
y Fo(\()p Fr(n)p Fo(\))2214 4953 y(3)2313 4930 y Fs(j)f
Fu(=)f Fq(\025)2494 4900 y Fo(2)2555 4930 y Fu(:)h Fs(j)p
Fq(\025)p Fs(j)2695 4900 y Fo(3)2756 4930 y Fu(:)g Fq(\025)2850
4900 y Fo(2)2911 4930 y Fu(:)g(1.)1905 5506 y(56)p eop
%%Page: 57 57
57 56 bop 743 3628 a @beginspecial 159 @llx 238 @lly
448 @urx 555 @ury 2890 @rwi @setspecial
%%BeginDocument: fig.ExampleI.4.eps
%!PS-Adobe-3.0 EPSF-3.0
%%Creator: Adobe Illustrator(TM) 3.2
%%AI8_CreatorVersion: 10.0
%%For: (John H. Lowenstein) (New York University)
%%Title: (fig.ExampleI4A.eps)
%%CreationDate: 3/18/02 3:55 PM
%%BoundingBox: 159 238 448 555
%%DocumentProcessColors: Black
%%DocumentFonts: Helvetica
%%+ Symbol
%%DocumentNeededFonts: Helvetica
%%+ Symbol
%%DocumentSuppliedResources: procset Adobe_packedarray 2.0 0
%%+ procset Adobe_cshow 1.1 0
%%+ procset Adobe_customcolor 1.0 0
%%+ procset Adobe_typography_AI3 1.0 1
%%+ procset Adobe_pattern_AI3 1.0 0
%%+ procset Adobe_Illustrator_AI3 1.0 1
%AI3_ColorUsage: Color
%AI3_IncludePlacedImages
%AI3_TemplateBox: 306.5 395.5 306.5 395.5
%AI3_TileBox: 30 35 582 761
%AI3_DocumentPreview: Header
%%PageOrigin:30 35
%%AI3_PaperRect:-30 761 582 -31
%%AI3_Margin:30 -31 -30 31
%AI7_GridSettings: 72 8 72 8 1 0 0.8 0.8 0.8 0.9 0.9 0.9
%AI9_Flatten: 1
%%EndComments
%%BeginProlog
%%BeginResource: procset Adobe_packedarray 2.0 0
%%Title: (Packed Array Operators)
%%Version: 2.0 0
%%CreationDate: (8/2/90) ()
%%Copyright: ((C) 1987-1996 Adobe Systems Incorporated All Rights Reserved)
userdict /Adobe_packedarray 5 dict dup begin put
/initialize
{
/packedarray where
	{
	pop
	}
	{
	Adobe_packedarray begin
	Adobe_packedarray
		{
		dup xcheck
			{
			bind
			} if
		userdict 3 1 roll put
		} forall
 end
	} ifelse
} def
/terminate
{
} def
/packedarray
{
array astore readonly
} def
/setpacking
{
pop
} def
/currentpacking
{
false
} def
currentdict readonly pop end
%%EndResource
Adobe_packedarray /initialize get exec
%%BeginResource: procset Adobe_cshow 1.1 0
%%Title: (cshow Operator)
%%Version: 1.1 0
%%CreationDate: (1/23/89) ()
%%Copyright: ((C) 1987-1996 Adobe Systems Incorporated All Rights Reserved)
currentpacking true setpacking
userdict /Adobe_cshow 3 dict dup begin put
/initialize
{
/cshow where
	{
	pop
	}
	{
	userdict /Adobe_cshow_vars 1 dict dup begin put
	/_cshow
		{} def
	Adobe_cshow begin
	Adobe_cshow
		{
		dup xcheck
			{
			bind
			} if
		userdict 3 1 roll put
		} forall
 end
 end
	} ifelse
} def
/terminate
{
} def
/cshow
{
exch
Adobe_cshow_vars
	exch /_cshow
	exch put
	{
	0 0 Adobe_cshow_vars /_cshow get exec
	} forall
} def
currentdict readonly pop end
setpacking
%%EndResource
%%BeginResource: procset Adobe_customcolor 1.0 0
%%Title: (Custom Color Operators)
%%Version: 1.0 0
%%CreationDate: (5/9/88) ()
%%Copyright: ((C) 1987-1996 Adobe Systems Incorporated All Rights Reserved)
currentpacking true setpacking
userdict /Adobe_customcolor 5 dict dup begin put
/initialize
{
/setcustomcolor where
	{
	pop
	}
	{
	Adobe_customcolor begin
	Adobe_customcolor
		{
		dup xcheck
			{
			bind
			} if
		pop pop
		} forall
 end
	Adobe_customcolor begin
	} ifelse
} def
/terminate
{
currentdict Adobe_customcolor eq
	{
 end
	} if
} def
/findcmykcustomcolor
{
5 packedarray
}  def
/setcustomcolor
{
exch
aload pop pop
4
	{
	4 index mul 4 1 roll
	} repeat
5 -1 roll pop
setcmykcolor
} def
/setoverprint
{
pop
} def
currentdict readonly pop end
setpacking
%%EndResource
%%BeginResource: procset Adobe_typography_AI3 2.0 0
%%Title: (Typography Operators)
%%Version: 2.0 0
%%CreationDate:(5/31/90) ()
%%Copyright: ((C) 1987-1996 Adobe Systems Incorporated All Rights Reserved)
currentpacking true setpacking
userdict /Adobe_typography_AI3 48 dict dup begin put
/initialize
{
/TZ
 where
	{
	pop
	}
	{
	Adobe_typography_AI3 begin
	Adobe_typography_AI3
		{
		dup xcheck
			{
			bind
			} if
		pop pop
		} forall
 end
	Adobe_typography_AI3 begin
	} ifelse
} def
/terminate
{
currentdict Adobe_typography_AI3 eq
	{
 end
	} if
} def
/modifyEncoding
{
	/_tempEncode exch ddef
	
	/_pntr 0 ddef
	
	{
		counttomark -1 roll
		dup type dup /marktype eq 		
		{
			pop pop exit
		}
		{
			/nametype eq
			{
				_tempEncode /_pntr dup load dup 3 1 roll 1 add ddef 3 -1 roll
				put
			}
			{
				/_pntr exch ddef					
			}
			ifelse
		}
		ifelse
	}
	loop	
	
	_tempEncode
}
def
/TE
{
	StandardEncoding 256 array copy modifyEncoding 
	/_nativeEncoding exch def
} def
%
/TZ		
{
	dup type /arraytype eq {/_wv exch def} {/_wv 0 def} ifelse 
	/_useNativeEncoding exch def
	pop pop
	
	findfont _wv type /arraytype eq {_wv makeblendedfont} if dup length 2 add dict
	
 begin
	
		mark exch
		{
			1 index /FID ne { def } if cleartomark mark
		}
		forall
		pop
		
		/FontName exch def
		
		counttomark 0 eq
		{
			1 _useNativeEncoding eq
			{
				/Encoding _nativeEncoding def
			}
			if
			cleartomark
		}
		{	
			/Encoding load 256 array copy 
			modifyEncoding /Encoding exch def
		}
		ifelse		
		FontName currentdict
 end
	
	definefont pop
}
def
/tr
{
_ax _ay 3 2 roll
} def
/trj
{
_cx _cy _sp _ax _ay 6 5 roll
} def
/a0
{
/Tx
	{
	dup 
	currentpoint 3 2 roll
	tr _psf
	newpath moveto
	tr _ctm _pss
	} ddef
/Tj
	{
	dup
	currentpoint 3 2 roll
	trj _pjsf
	newpath moveto
	trj _ctm _pjss
	} ddef
	
} def
/a1
{
/Tx
	{
	dup currentpoint 4 2 roll gsave
	dup currentpoint 3 2 roll
	tr _psf
	newpath moveto
	tr _ctm _pss
	grestore 3 1 roll moveto tr sp
	} ddef
/Tj
	{
	dup currentpoint 4 2 roll gsave
	dup currentpoint 3 2 roll
	trj _pjsf
	newpath moveto
	trj _ctm _pjss
	grestore 3 1 roll moveto tr sp
	} ddef
	
} def
/e0
{
/Tx
	{
	tr _psf
	} ddef
/Tj
	{
	trj _pjsf
	} ddef
} def
/e1
{
/Tx
	{
	dup currentpoint 4 2 roll gsave 
	tr _psf  
	grestore 3 1 roll moveto tr sp 
	} ddef
/Tj
	{
	dup currentpoint 4 2 roll gsave 
	trj _pjsf
	grestore 3 1 roll moveto tr sp 
	} ddef
} def
/i0
{
/Tx
	{
	tr sp
	} ddef
/Tj
	{
	trj jsp
	} ddef
} def
/i1
{
W N
} def
/o0
{
/Tx
	{
	tr sw rmoveto
	} ddef
/Tj
	{
	trj swj rmoveto
	} ddef
} def
/r0
{
/Tx
	{
	tr _ctm _pss
	} ddef
/Tj
	{
	trj _ctm _pjss
	} ddef
} def
/r1
{
/Tx
	{
	dup currentpoint 4 2 roll currentpoint gsave newpath moveto
	tr _ctm _pss 
	grestore 3 1 roll moveto tr sp 
	} ddef
/Tj
	{
	dup currentpoint 4 2 roll currentpoint gsave newpath moveto
	trj _ctm _pjss
	grestore 3 1 roll moveto tr sp 
	} ddef
} def
/To
{
	pop _ctm currentmatrix pop
} def
/TO
{
	iTe _ctm setmatrix newpath
} def
/Tp
{
	pop _tm astore pop _ctm setmatrix 
	_tDict begin /W {} def /h {} def
} def
/TP
{
 end
	iTm 0 0 moveto
} def
/Tr
{
	_render 3 le {currentpoint newpath moveto} if
	dup 8 eq {pop 0} {dup 9 eq {pop 1} if} ifelse
	dup /_render exch ddef
	_renderStart exch get load exec
} def
/iTm
{
_ctm setmatrix _tm concat 0 _rise translate _hs 1 scale
} def
/Tm
{
_tm astore pop iTm 0 0 moveto
} def
/Td
{
_mtx translate _tm _tm concatmatrix pop iTm 0 0 moveto
} def
/iTe
{
	_render -1 eq {} {_renderEnd _render get dup null ne {load exec} {pop} ifelse} ifelse
	/_render -1 ddef
} def
/Ta
{
pop
} def
/Tf
{
dup 1000 div /_fScl exch ddef
exch findfont exch scalefont setfont
} def
/Tl
{
pop
0 exch _leading astore pop
} def
/Tt
{
pop
} def
/TW
{
3 npop
} def
/Tw
{
/_cx exch ddef
} def
/TC
{
3 npop
} def
/Tc
{
/_ax exch ddef
} def
/Ts
{
/_rise exch ddef
currentpoint
iTm
moveto
} def
/Ti
{
3 npop
} def
/Tz
{
100 div /_hs exch ddef
iTm
} def
/TA
{
pop
} def
/Tq
{
pop
} def
/Th
{
pop pop pop pop pop
} def
/TX {pop} def
%/Tx
%/Tj
/Tk
{
exch pop _fScl mul neg 0 rmoveto
} def
/TK
{
2 npop
} def
/T*
{
_leading aload pop neg Td
} def
/T*-
{
_leading aload pop Td
} def
/T-
{
_hyphen Tx
} def
/T+
{} def
/TR
{
_ctm currentmatrix pop 	
_tm astore pop 
iTm 0 0 moveto 
} def
/TS
{
0 eq {Tx} {Tj} ifelse
} def
currentdict readonly pop end
setpacking
%%EndResource
%%BeginResource: procset Adobe_pattern_AI3 1.1 0
%%Title: (Adobe Illustrator (R) Version 3.0 Pattern Operators)
%%Version: 1.1 0
%%CreationDate: (7/21/89) ()
%%Copyright: ((C) 1987-1996 Adobe Systems Incorporated All Rights Reserved)
currentpacking true setpacking
userdict /Adobe_pattern_AI3 16 dict dup begin put
/initialize
{
/definepattern where
	{
	pop
	}
	{
	Adobe_pattern_AI3 begin
	Adobe_pattern_AI3
		{
		dup xcheck
			{
			bind
			} if
		pop pop
		} forall
	mark
	cachestatus 7 1 roll pop pop pop pop exch pop exch
		{
		{
		10000 add
		dup 2 index gt
			{
			exit
			} if
		dup setcachelimit
		} loop
		} stopped
	cleartomark
	} ifelse
} def
/terminate
{
currentdict Adobe_pattern_AI3 eq
	{
 end
	} if
} def
errordict
/nocurrentpoint
{
pop
stop
} put
errordict
/invalidaccess
{
pop
stop
} put
/patternencoding
256 array def
0 1 255
{
patternencoding exch ( ) 2 copy exch 0 exch put cvn put
} for
/definepattern
{
17 dict begin
/uniform exch def
/cache exch def
/key exch def
/procarray exch def
/mtx exch matrix invertmatrix def
/height exch def
/width exch def
/ctm matrix currentmatrix def
/ptm matrix def
/str 32 string def
/slice 9 dict def
slice /s 1 put
slice /q 256 procarray length div sqrt floor cvi put
slice /b 0 put
/FontBBox [0 0 0 0] def
/FontMatrix mtx matrix copy def
/Encoding patternencoding def
/FontType 3 def
/BuildChar
	{
	exch
 begin
	/setstrokeadjust where {pop true setstrokeadjust} if
	slice begin
	dup q dup mul mod s idiv /i exch def
	dup q dup mul mod s mod /j exch def
	q dup mul idiv procarray exch get
	/xl j width s div mul def
	/xg j 1 add width s div mul def
	/yl i height s div mul def
	/yg i 1 add height s div mul def
	uniform
		{
		1 1
		}
		{
		width 0 dtransform
		dup mul exch dup mul add sqrt dup 1 add exch div
		0 height dtransform
		dup mul exch dup mul add sqrt dup 1 add exch div
		} ifelse
	width 0 cache
		{
		xl 4 index mul yl 4 index mul xg 6 index mul yg 6 index mul
		setcachedevice
		}
		{
		setcharwidth
		} ifelse
	gsave
	scale
	newpath
	xl yl moveto
	xg yl lineto
	xg yg lineto
	xl yg lineto
	closepath
	clip
	newpath
 end
 end
	exec
	grestore
	} def
key currentdict definefont
end
} def
/patterncachesize
{
gsave
newpath
0 0 moveto
width 0 lineto
width height lineto
0 height lineto
closepath
patternmatrix setmatrix
pathbbox
exch ceiling 4 -1 roll floor sub 3 1 roll
ceiling exch floor sub
mul 1 add
grestore
} def
/patterncachelimit
{
cachestatus 7 1 roll 6 npop 8 mul
} def
/patternpath
{
exch dup begin setfont
ctm setmatrix
concat
slice exch /b exch slice /q get dup mul mul put
FontMatrix concat
uniform
	{
	width 0 dtransform round width div exch round width div exch
	0 height dtransform round height div exch height div exch
	0 0 transform round exch round exch
	ptm astore setmatrix
	}
	{
	ptm currentmatrix pop
	} ifelse
{currentpoint} stopped not
	{
	2 npop
	pathbbox
	true
	4 index 3 index eq
	4 index 3 index eq
	and
		{
		pop false
			{
			{2 npop}
			{3 npop true}
			{7 npop true}
			{pop true}
			pathforall
			} stopped
			{
			5 npop true
			} if
		} if
		{
		height div ceiling height mul 4 1 roll
		width div ceiling width mul 4 1 roll
		height div floor height mul 4 1 roll
		width div floor width mul 4 1 roll
		2 index sub height div ceiling cvi exch
		3 index sub width div ceiling cvi exch
		4 2 roll moveto
		FontMatrix mtx invertmatrix
		dup dup 4 get exch 5 get rmoveto
		ptm ptm concatmatrix pop
		slice /s
		patterncachesize patterncachelimit div ceiling sqrt ceiling cvi
		dup slice /q get gt
			{
			pop slice /q get
			} if
		put
		0 1 slice /s get dup mul 1 sub
			{
			slice /b get add
			gsave
			0 1 str length 1 sub
				{
				str exch 2 index put
				} for
			pop
			dup
				{
				gsave
				ptm setmatrix
				1 index str length idiv {str show} repeat
				1 index str length mod str exch 0 exch getinterval show
				grestore
				0 height rmoveto
				} repeat
			grestore
			} for
		2 npop
		}
		{
		4 npop
		} ifelse
	} if
end
} def
/patternclip
{
clip
} def
/patternstrokepath
{
strokepath
} def
/patternmatrix
matrix def
/patternfill
{
dup type /dicttype eq
	{
	Adobe_pattern_AI3 /patternmatrix get
	} if
gsave
patternclip
Adobe_pattern_AI3 /patternpath get exec
grestore
newpath
} def
/patternstroke
{
dup type /dicttype eq
	{
	Adobe_pattern_AI3 /patternmatrix get
	} if
gsave
patternstrokepath
true
	{
		{
			{
			newpath 
			moveto
			}
			{
			lineto
			}
			{
			curveto
			}
			{
			closepath
			3 copy
			Adobe_pattern_AI3 /patternfill get exec
			} pathforall
		3 npop
		} stopped
			{
			5 npop
			patternclip
			Adobe_pattern_AI3 /patternfill get exec
			} if
	}
	{
	patternclip
	Adobe_pattern_AI3 /patternfill get exec
	} ifelse
grestore
newpath
} def
/patternashow
{
3 index type /dicttype eq
	{
	Adobe_pattern_AI3 /patternmatrix get 4 1 roll
	} if
	{
	2 npop (0) exch
	2 copy 0 exch put pop
	gsave
	false charpath currentpoint
	6 index 6 index 6 index
	Adobe_pattern_AI3 /patternfill get exec
	grestore
	newpath moveto
	2 copy rmoveto
	} exch cshow
5 npop
} def
/patternawidthshow
{
6 index type /dicttype eq
	{
	Adobe_pattern_AI3 /patternmatrix get 7 1 roll
	} if
	{
	2 npop (0) exch
	2 copy 0 exch put 
	gsave
	_sp eq {5 index 5 index rmoveto} if
	false charpath currentpoint
	9 index 9 index 9 index
	Adobe_pattern_AI3 /patternfill get exec
	grestore
	newpath moveto
	2 copy rmoveto
	} exch cshow
8 npop
} def
/patternashowstroke
{
4 index type /dicttype eq
	{
	patternmatrix /patternmatrix get 5 1 roll
	} if
4 1 roll
	{
	2 npop (0) exch
	2 copy 0 exch put pop
	gsave
	false charpath
	currentpoint
	4 index setmatrix
	7 index 7 index 7 index
	Adobe_pattern_AI3 /patternstroke get exec
	grestore
	newpath moveto
	2 copy rmoveto
	} exch cshow
6 npop
} def
/patternawidthshowstroke
{
7 index type /dicttype eq
	{
	patternmatrix /patternmatrix get 8 1 roll
	} if
7 1 roll
	{
	2 npop (0) exch
	2 copy 0 exch put
	gsave
	_sp eq {5 index 5 index rmoveto} if
	false charpath currentpoint
	7 index setmatrix
	10 index 10 index 10 index
	Adobe_pattern_AI3 /patternstroke get exec
	grestore
	newpath moveto
	2 copy rmoveto
	} exch cshow
9 npop
} def
currentdict readonly pop end
setpacking
%%EndResource
%%BeginResource: procset Adobe_Illustrator_AI3 1.1 0
%%Title: (Adobe Illustrator (R) Version 3.0 Full Prolog)
%%Version: 1.1 0
%%CreationDate: (3/7/1994) ()
%%Copyright: ((C) 1987-1996 Adobe Systems Incorporated All Rights Reserved)
currentpacking true setpacking
userdict /Adobe_Illustrator_AI3 71 dict dup begin put
/initialize
{
userdict /Adobe_Illustrator_AI3_vars 67 dict dup begin put
/_lp /none def
/_pf {} def
/_ps {} def
/_psf {} def
/_pss {} def
/_pjsf {} def
/_pjss {} def
/_pola 0 def
/_doClip 0 def
/cf	currentflat def
/_tm matrix def
/_renderStart [/e0 /r0 /a0 /o0 /e1 /r1 /a1 /i0] def 
/_renderEnd [null null null null /i1 /i1 /i1 /i1] def
/_render -1 def
/_rise 0 def
/_ax 0 def
/_ay 0 def
/_cx 0 def
/_cy 0 def
/_leading [0 0] def
/_ctm matrix def
/_mtx matrix def
/_sp 16#020 def
/_hyphen (-) def
/_fScl 0 def
/_cnt 0 def
/_hs 1 def
/_nativeEncoding 0 def
/_useNativeEncoding 0 def
/_tempEncode 0 def
/_pntr 0 def
/_tDict 2 dict def
/_wv 0 def
/Tx {} def
/Tj {} def
/CRender {} def
/_AI3_savepage {} def
/_gf null def
/_cf 4 array def
/_if null def
/_of false def
/_fc {} def
/_gs null def
/_cs 4 array def
/_is null def
/_os false def
/_sc {} def
/_pd 1 dict def
/_ed 15 dict def
/_pm matrix def
/_fm null def
/_fd null def
/_fdd null def
/_sm null def
/_sd null def
/_sdd null def
/_i null def
Adobe_Illustrator_AI3 begin
Adobe_Illustrator_AI3 dup /nc get begin
	{
	dup xcheck
		{
		bind
		} if
	pop pop
	} forall
end
end
end
Adobe_Illustrator_AI3 begin
Adobe_Illustrator_AI3_vars begin
newpath
} def
/terminate
{
end
end
} def
/_
null def
/ddef
{
Adobe_Illustrator_AI3_vars 3 1 roll put
} def
/xput
{
dup load dup length exch maxlength eq
	{
	dup dup load dup
	length 2 mul dict copy def
	} if
load begin def end
} def
/npop
{
	{
	pop
	} repeat
} def
/sw
{
dup length exch stringwidth
exch 5 -1 roll 3 index mul add
4 1 roll 3 1 roll mul add
} def
/swj
{
dup 4 1 roll
dup length exch stringwidth 
exch 5 -1 roll 3 index mul add
4 1 roll 3 1 roll mul add 
6 2 roll /_cnt 0 ddef
{1 index eq {/_cnt _cnt 1 add ddef} if} forall pop
exch _cnt mul exch _cnt mul 2 index add 4 1 roll 2 index add 4 1 roll pop pop
} def
/ss
{
4 1 roll
	{
	2 npop 
	(0) exch 2 copy 0 exch put pop
	gsave
	false charpath currentpoint
	4 index setmatrix
	stroke
	grestore
	moveto
	2 copy rmoveto
	} exch cshow
3 npop
} def
/jss
{
4 1 roll
	{
	2 npop 
	(0) exch 2 copy 0 exch put 
	gsave
	_sp eq 
		{
		exch 6 index 6 index 6 index 5 -1 roll widthshow  
		currentpoint
		}
		{
		false charpath currentpoint
		4 index setmatrix stroke
		}ifelse
	grestore
	moveto
	2 copy rmoveto
	} exch cshow
6 npop
} def
/sp
{
	{
	2 npop (0) exch
	2 copy 0 exch put pop
	false charpath
	2 copy rmoveto
	} exch cshow
2 npop
} def
/jsp
{
	{
	2 npop 
	(0) exch 2 copy 0 exch put 
	_sp eq 
		{
		exch 5 index 5 index 5 index 5 -1 roll widthshow  
		}
		{
		false charpath
		}ifelse
	2 copy rmoveto
	} exch cshow
5 npop
} def
/pl
{
transform
0.25 sub round 0.25 add exch
0.25 sub round 0.25 add exch
itransform
} def
/setstrokeadjust where
	{
	pop true setstrokeadjust
	/c
	{
	curveto
	} def
	/C
	/c load def
	/v
	{
	currentpoint 6 2 roll curveto
	} def
	/V
	/v load def
	/y
	{
	2 copy curveto
	} def
	/Y
	/y load def
	/l
	{
	lineto
	} def
	/L
	/l load def
	/m
	{
	moveto
	} def
	}
	{
	/c
	{
	pl curveto
	} def
	/C
	/c load def
	/v
	{
	currentpoint 6 2 roll pl curveto
	} def
	/V
	/v load def
	/y
	{
	pl 2 copy curveto
	} def
	/Y
	/y load def
	/l
	{
	pl lineto
	} def
	/L
	/l load def
	/m
	{
	pl moveto
	} def
	} ifelse
/d
{
setdash
} def
/cf	{} def
/i
{
dup 0 eq
	{
	pop cf
	} if
setflat
} def
/j
{
setlinejoin
} def
/J
{
setlinecap
} def
/M
{
setmiterlimit
} def
/w
{
setlinewidth
} def
/H
{} def
/h
{
closepath
} def
/N
{
_pola 0 eq 
	{
	_doClip 1 eq {clip /_doClip 0 ddef} if 
	newpath
	} 
	{
	/CRender {N} ddef
	}ifelse
} def
/n
{N} def
/F
{
_pola 0 eq 
	{
	_doClip 1 eq 
		{
		gsave _pf grestore clip newpath /_lp /none ddef _fc 
		/_doClip 0 ddef
		}
		{
		_pf
		}ifelse
	} 
	{
	/CRender {F} ddef
	}ifelse
} def
/f
{
closepath
F
} def
/S
{
_pola 0 eq 
	{
	_doClip 1 eq 
		{
		gsave _ps grestore clip newpath /_lp /none ddef _sc 
		/_doClip 0 ddef
		}
		{
		_ps
		}ifelse
	} 
	{
	/CRender {S} ddef
	}ifelse
} def
/s
{
closepath
S
} def
/B
{
_pola 0 eq 
	{
	_doClip 1 eq
	gsave F grestore 
		{
		gsave S grestore clip newpath /_lp /none ddef _sc
		/_doClip 0 ddef
		} 
		{
		S
		}ifelse
	}
	{
	/CRender {B} ddef
	}ifelse
} def
/b
{
closepath
B
} def
/W
{
/_doClip 1 ddef
} def
/*
{
count 0 ne 
	{
	dup type (stringtype) eq {pop} if
	} if 
_pola 0 eq {newpath} if
} def
/u
{} def
/U
{} def
/q
{
_pola 0 eq {gsave} if
} def
/Q
{
_pola 0 eq {grestore} if
} def
/*u
{
_pola 1 add /_pola exch ddef
} def
/*U
{
_pola 1 sub /_pola exch ddef 
_pola 0 eq {CRender} if
} def
/D
{pop} def
/*w
{} def
/*W
{} def
/`
{
/_i save ddef
6 1 roll 4 npop
concat pop
userdict begin
/showpage {} def
0 setgray
0 setlinecap
1 setlinewidth
0 setlinejoin
10 setmiterlimit
[] 0 setdash
/setstrokeadjust where {pop false setstrokeadjust} if
newpath
0 setgray
false setoverprint
} def
/~
{
end
_i restore
} def
/@
{} def
/&
{} def
/O
{
0 ne
/_of exch ddef
/_lp /none ddef
} def
/R
{
0 ne
/_os exch ddef
/_lp /none ddef
} def
/g
{
/_gf exch ddef
/_fc
{
_lp /fill ne
	{
	_of setoverprint
	_gf setgray
	/_lp /fill ddef
	} if
} ddef
/_pf
{
_fc
fill
} ddef
/_psf
{
_fc
ashow
} ddef
/_pjsf
{
_fc
awidthshow
} ddef
/_lp /none ddef
} def
/G
{
/_gs exch ddef
/_sc
{
_lp /stroke ne
	{
	_os setoverprint
	_gs setgray
	/_lp /stroke ddef
	} if
} ddef
/_ps
{
_sc
stroke
} ddef
/_pss
{
_sc
ss
} ddef
/_pjss
{
_sc
jss
} ddef
/_lp /none ddef
} def
/k
{
_cf astore pop
/_fc
{
_lp /fill ne
	{
	_of setoverprint
	_cf aload pop setcmykcolor
	/_lp /fill ddef
	} if
} ddef
/_pf
{
_fc
fill
} ddef
/_psf
{
_fc
ashow
} ddef
/_pjsf
{
_fc
awidthshow
} ddef
/_lp /none ddef
} def
/K
{
_cs astore pop
/_sc
{
_lp /stroke ne
	{
	_os setoverprint
	_cs aload pop setcmykcolor
	/_lp /stroke ddef
	} if
} ddef
/_ps
{
_sc
stroke
} ddef
/_pss
{
_sc
ss
} ddef
/_pjss
{
_sc
jss
} ddef
/_lp /none ddef
} def
/x
{
/_gf exch ddef
findcmykcustomcolor
/_if exch ddef
/_fc
{
_lp /fill ne
	{
	_of setoverprint
	_if _gf 1 exch sub setcustomcolor
	/_lp /fill ddef
	} if
} ddef
/_pf
{
_fc
fill
} ddef
/_psf
{
_fc
ashow
} ddef
/_pjsf
{
_fc
awidthshow
} ddef
/_lp /none ddef
} def
/X
{
/_gs exch ddef
findcmykcustomcolor
/_is exch ddef
/_sc
{
_lp /stroke ne
	{
	_os setoverprint
	_is _gs 1 exch sub setcustomcolor
	/_lp /stroke ddef
	} if
} ddef
/_ps
{
_sc
stroke
} ddef
/_pss
{
_sc
ss
} ddef
/_pjss
{
_sc
jss
} ddef
/_lp /none ddef
} def
/dp
{
dup null eq
{
pop
_dp 0 ne
	{
	0 1 _dp 1 sub _dl mod
		{
		_da exch get 3 get
		} for
	_dp 1 sub _dl mod 1 add packedarray
	_da 0 get aload pop 8 -1 roll 5 -1 roll pop 4 1 roll
	definepattern pop
	} if
}
{
_dp 0 ne _dp _dl mod 0 eq and
	{
	null dp
	} if
7 packedarray _da exch _dp _dl mod exch put
_dp _dl mod _da 0 get 4 get 2 packedarray
/_dp _dp 1 add def
} ifelse
} def
/E
{
_ed begin
dup 0 get type /arraytype ne
	{
	0
		{
		dup 1 add index type /arraytype eq
			{
			1 add
			}
			{
			exit
			} ifelse
		} loop
	array astore
	} if
/_dd exch def
/_ury exch def
/_urx exch def
/_lly exch def
/_llx exch def
/_n exch def
/_y 0 def
/_dl 4 def
/_dp 0 def
/_da _dl array def
0 1 _dd length 1 sub
	{
	/_d exch _dd exch get def
	0 2 _d length 2 sub
		{
		/_x exch def
		/_c _d _x get _ ne def
		/_r _d _x 1 add get cvlit def
		_r _ ne
			{
			_urx _llx sub _ury _lly sub [1 0 0 1 0 0] 
				[
				/save cvx
				_llx neg _lly neg /translate cvx
				_c
					{
					nc /begin cvx
					} if
				_r dup type /stringtype eq
					{
					cvx
					}
					{
					{exec} /forall cvx
					} ifelse
				_c
					{
					/end cvx
					} if
				/restore cvx
				] cvx
			/_fn 12 _n length add string def
			_y _fn cvs pop
			/_y _y 1 add def
			_fn 12 _n putinterval
			_fn _c false dp
			_d exch _x 1 add exch put
			} if
		} for
	} for
null dp
_n _dd /_pd
end xput
} def
/fc
{
_fm dup concatmatrix pop
} def
/p
{
/_fm exch ddef
9 -2 roll _pm translate fc
7 -2 roll _pm scale fc
5 -1 roll _pm rotate fc
4 -2 roll exch 0 ne
	{
	dup _pm rotate fc
	1 -1 _pm scale fc
	neg _pm rotate fc
	}
	{
	pop
	} ifelse
dup _pm rotate fc
exch dup sin exch cos div 1 0 0 1 0 6 2 roll
_pm astore fc
neg _pm rotate fc
_pd exch get /_fdd exch ddef
/_pf
{
save
/_doClip 0 ddef
0 1 _fdd length 1 sub
	{
	/_fd exch _fdd exch get ddef
	_fd
	0 2 _fd length 2 sub
		{
		gsave
		2 copy get dup _ ne
			{
			cvx exec _fc
			}
			{
			pop
			} ifelse
		2 copy 1 add get dup _ ne
			{
			aload pop findfont _fm
			patternfill
			}
			{
			pop
			fill
			} ifelse
		grestore
		pop
		} for
	pop
	} for
restore
newpath
} ddef
/_psf
{
save
/_doClip 0 ddef
0 1 _fdd length 1 sub
	{
	/_fd exch _fdd exch get ddef
	_fd
	0 2 _fd length 2 sub
		{
		gsave
		2 copy get dup _ ne
			{
			cvx exec _fc
			}
			{
			pop
			} ifelse
		2 copy 1 add get dup _ ne
			{
			aload pop findfont _fm
			9 copy 6 npop patternashow
			}
			{
			pop
			6 copy 3 npop ashow
			} ifelse
		grestore
		pop
		} for
	pop
	} for
restore
%3 npop newpath
sw rmoveto
} ddef
/_pjsf
{
save
/_doClip 0 ddef
0 1 _fdd length 1 sub
	{
	/_fd exch _fdd exch get ddef
	_fd
	0 2 _fd length 2 sub
		{
		gsave
		2 copy get dup _ ne
			{
			cvx exec _fc
			}
			{
			pop
			} ifelse
		2 copy 1 add get dup _ ne
			{
			aload pop findfont _fm
			12 copy 6 npop patternawidthshow
			}
			{
			pop 9 copy 3 npop awidthshow
			} ifelse
		grestore
		pop
		} for
	pop
	} for
restore
swj rmoveto
} ddef
/_lp /none ddef
} def
/sc
{
_sm dup concatmatrix pop
} def
/P
{
/_sm exch ddef
9 -2 roll _pm translate sc
7 -2 roll _pm scale sc
5 -1 roll _pm rotate sc
4 -2 roll exch 0 ne
	{
	dup _pm rotate sc
	1 -1 _pm scale sc
	neg _pm rotate sc
	}
	{
	pop
	} ifelse
dup _pm rotate sc
exch dup sin exch cos div 1 0 0 1 0 6 2 roll
_pm astore sc
neg _pm rotate sc
_pd exch get /_sdd exch ddef
/_ps
{
save
/_doClip 0 ddef
0 1 _sdd length 1 sub
	{
	/_sd exch _sdd exch get ddef
	_sd
	0 2 _sd length 2 sub
		{
		gsave
		2 copy get dup _ ne
			{
			cvx exec _sc
			}
			{
			pop
			} ifelse
		2 copy 1 add get dup _ ne
			{
			aload pop findfont _sm
			patternstroke
			}
			{
			pop stroke
			} ifelse
		grestore
		pop
		} for
	pop
	} for
restore
newpath
} ddef
/_pss
{
save
/_doClip 0 ddef
0 1 _sdd length 1 sub
	{
	/_sd exch _sdd exch get ddef
	_sd
	0 2 _sd length 2 sub
		{
		gsave
		2 copy get dup _ ne
			{
			cvx exec _sc
			}
			{
			pop
			} ifelse
		2 copy 1 add get dup _ ne
			{
			aload pop findfont _sm
			10 copy 6 npop patternashowstroke
			}
			{
			pop 7 copy 3 npop ss
			} ifelse
		grestore
		pop
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%AI6_EndPatternLayer
) &
(0 O 0 R 0.349 0.2549 0.2235 0.0667 k
 0.349 0.2549 0.2235 0.0667 K
) @
(
%AI6_BeginPatternLayer
0 J 0 j 1 w 4 M []0 d
1 1 m
10.25 10.25 l
1 19.5 l
1 1 l
f
%AI6_EndPatternLayer
) &
(0 O 0 R 0.4902 0.3647 0.3451 0.2196 k
 0.4902 0.3647 0.3451 0.2196 K
) @
(
%AI6_BeginPatternLayer
0 J 0 j 1 w 4 M []0 d
19.5 19.5 m
10.25 10.25 l
19.5 1 l
19.5 19.5 l
f
%AI6_EndPatternLayer
) &
] E
%AI3_EndPattern
%AI3_BeginPattern: (Unnamed Pattern 2)
(Unnamed Pattern 2) 1 1 73 73 [
%AI3_Tile
(0 O 0 R 0.6 0.1412 0.9373 0.0275 k
 0.6 0.1412 0.9373 0.0275 K
) @
(
%AI6_BeginPatternLayer
0 J 0 j 1 w 4 M []0 d
1 73 m
1 1 L
73 1 L
73 73 L
1 73 L
f
%AI6_EndPatternLayer
) &
(0 O 0 R 0.4941 0.3529 0.9529 0.2 k
 0.4941 0.3529 0.9529 0.2 K
) @
(
%AI6_BeginPatternLayer
0 J 0 j 1 w 4 M []0 d
18.5449 73 m
18.5449 1 L
46.7832 1 L
46.7832 73 L
18.5449 73 L
f
%AI6_EndPatternLayer
) &
(0 O 0 R 0.1882 0.1098 0.9059 0.0157 k
 0.1882 0.1098 0.9059 0.0157 K
) @
(
%AI6_BeginPatternLayer
0 J 0 j 1 w 4 M []0 d
11.9512 1 m
11.9512 4.7129 9.2314 2.8813 9.2314 6.5938 c
9.2314 10.2334 4.25 10.2334 4.25 13.8735 c
4.25 17.4858 10.0313 17.4858 10.0313 21.0991 c
10.0313 24.832 10.208 24.832 10.208 28.5654 c
10.208 32.3071 5.5205 32.3071 5.5205 36.0469 c
5.5205 39.7021 11.8838 39.7021 11.8838 43.356 c
11.8838 47.0566 7.4609 47.0566 7.4609 50.7568 c
7.4609 54.4043 5.7959 54.4043 5.7959 58.0542 c
5.7959 61.7686 4.6631 61.7686 4.6631 65.4805 c
4.6631 69.1636 11.9512 69.3184 11.9512 73 C
27.9268 73 L
27.9268 69.3184 22.0635 69.1636 22.0635 65.4805 c
22.0635 61.7686 28.6631 61.7686 28.6631 58.0542 c
28.6631 54.4043 25.1553 54.4043 25.1553 50.7568 c
25.1553 47.0566 28.8145 47.0566 28.8145 43.356 c
28.8145 39.7021 22.1191 39.7021 22.1191 36.0469 c
22.1191 32.3071 26.3945 32.3071 26.3945 28.5654 c
26.3945 24.832 24.4248 24.832 24.4248 21.0991 c
24.4248 17.4858 20.3838 17.4858 20.3838 13.8735 c
20.3838 10.2334 24.6055 10.2334 24.6055 6.5938 c
24.6055 2.8813 27.9268 4.7129 27.9268 1 C
11.9512 1 L
f
%AI6_EndPatternLayer
) &
(0 O 0 R 0.9216 0.2157 0.9451 0.0745 k
 0.9216 0.2157 0.9451 0.0745 K
) @
(
%AI6_BeginPatternLayer
0 J 0 j 1 w 4 M []0 d
41.875 1 m
41.875 4.7134 42.3867 2.8818 42.3867 6.5938 c
42.3867 10.2334 40.5947 10.2334 40.5947 13.8735 c
40.5947 17.4858 41.5742 17.4858 41.5742 21.0991 c
41.5742 24.832 43.6484 24.832 43.6484 28.5659 c
43.6484 32.3076 39.1709 32.3076 39.1709 36.0469 c
39.1709 39.7026 39.7549 39.7026 39.7549 43.356 c
39.7549 47.0566 45.3896 47.0566 45.3896 50.7568 c
45.3896 54.4043 40.1055 54.4043 40.1055 58.0542 c
40.1055 61.7686 40.6289 61.7686 40.6289 65.4805 c
40.6289 69.1636 41.875 69.3184 41.875 73 C
59.0752 73 L
59.0752 69.4219 53.4805 70.1934 53.4805 66.6143 c
53.4805 62.9136 55.8945 62.9136 55.8945 59.2153 c
55.8945 55.502 61.0059 55.502 61.0059 51.7886 c
61.0059 48.1489 60.5635 48.1489 60.5635 44.5103 c
60.5635 40.897 59.9277 40.897 59.9277 37.2842 c
59.9277 33.5508 56.3662 33.5508 56.3662 29.8169 c
56.3662 26.0762 61.0908 26.0762 61.0908 22.3354 c
61.0908 18.6812 52.6025 18.6812 52.6025 15.0264 c
52.6025 11.3262 55.7461 11.3262 55.7461 7.6265 c
55.7461 3.978 59.0752 4.6484 59.0752 1 C
41.875 1 L
f
%AI6_EndPatternLayer
) &
] E
%AI3_EndPattern
%%EndSetup
0 A
u
u
8 i
0 R
0 G
1 J 1 j 0.5 w 10 M []0 d
295.894 357.5605 m
295.894 357.5605 l
S
327.9023 377.3408 m
327.9023 377.3408 l
S
379.6934 409.3511 m
379.6934 409.3511 l
S
2 w
160.3062 357.5605 m
192.314 377.3408 l
212.0952 409.3511 l
192.314 409.3511 l
160.3062 377.3408 l
160.3062 357.5605 l
S
0.5 w [6 ]0 d
159.4937 408.3511 m
378.8809 543.9395 l
S
161.6187 408.1011 m
S
[]0 d
379.6934 544.9395 m
379.6934 544.9395 l
S
U
U
0 i
0 0 0 1 K
0 J 0 j 1 w 4 M
160 329.75 m
160 544.9395 L
379.6934 544.9395 L
379.6934 329.75 L
160 329.75 L
s
0 G
1 J 1 j 0.5 w 10 M [6 ]0 d
380 408.25 m
251.5 330.25 l
S
0 O
0 g
0 J 0 j 1 w 4 M []0 d
379.1787 542.25 m
380.3506 542.25 381.3008 543.1997 381.3008 544.3711 c
381.3008 545.543 380.3506 546.4927 379.1787 546.4927 c
378.0078 546.4927 377.0576 545.543 377.0576 544.3711 c
377.0576 543.1997 378.0078 542.25 379.1787 542.25 c
f
379.1787 461.25 m
380.3506 461.25 381.3008 462.1997 381.3008 463.3711 c
381.3008 464.543 380.3506 465.4927 379.1787 465.4927 c
378.0078 465.4927 377.0576 464.543 377.0576 463.3711 c
377.0576 462.1997 378.0078 461.25 379.1787 461.25 c
f
0 To
1 0 0 1 382.5 546.75 0 Tp
TP
0 Tr
0 0 0 1 k
/_Helvetica 8 Tf
0 Ts
100 Tz
0 Tt
1 TA
0 0 5 TC
100 100 200 TW
0 0 0 Ti
0 Ta
0 Tq
0 0 Tl
0 Tc
0 Tw
(\(0,0\)) Tx 1 0 Tk
(\r) TX 
TO
0 To
1 0 0 1 384.5283 460.3516 0 Tp
TP
0 Tr
/_Symbol 8 Tf
119.9792 Tz
(\(0,l\)) Tx 1 0 Tk
(\r) TX 
TO
u
0 To
1 0 0 1 383.833 404.75 0 Tp
TP
0 Tr
/_Helvetica 8 Tf
100 Tz
(\(0,-1\)) Tx 1 0 Tk
(\r) TX 
TO
0 To
1 0 0 1 384.708 411.25 0 Tp
TP
0 Tr
(\r) TX 1 0 Tk
TO
U
0 g
379.1787 511.75 m
380.3506 511.75 381.3008 512.6997 381.3008 513.8711 c
381.3008 515.043 380.3506 515.9927 379.1787 515.9927 c
378.0078 515.9927 377.0576 515.043 377.0576 513.8711 c
377.0576 512.6997 378.0078 511.75 379.1787 511.75 c
f
379.1787 492.3711 m
380.3506 492.3711 381.3008 493.3213 381.3008 494.4927 c
381.3008 495.6641 380.3506 496.6143 379.1787 496.6143 c
378.0078 496.6143 377.0576 495.6641 377.0576 494.4927 c
377.0576 493.3213 378.0078 492.3711 379.1787 492.3711 c
f
0 To
1 0 0 1 382.499 434.75 0 Tp
TP
0 Tr
0 0 0 1 k
(2) Tx 1 0 Tk
(\r) TX 
TO
0 To
1 0 0 1 382.499 479.75 0 Tp
TP
0 Tr
(a) Tx 1 0 Tk
(\r) TX 
TO
0 To
1 0 0 1 411 503.75 0 Tp
TP
0 Tr
/_Helvetica 10 Tf
(r) Tx 1 0 Tk
/_Helvetica 7 Tf
-2 Ts
(-1) Tx 1 0 Tk
(\r) TX 
TO
0 To
1 0 0 1 382.7236 502.75 0 Tp
TP
0 Tr
/_Helvetica 8 Tf
0 Ts
(c) Tx 1 0 Tk
(\r) TX 
TO
0 To
1 0 0 1 382.375 528.25 0 Tp
TP
0 Tr
(r) Tx 1 0 Tk
/_Helvetica 7 Tf
-2 Ts
(0) Tx 1 0 Tk
(\r) TX 
TO
0 To
1 0 0 1 371.167 492.583 0 Tp
TP
0 Tr
/_Helvetica 8 Tf
0 Ts
(b) Tx 1 0 Tk
(\r) TX 
TO
0 To
1 0 0 1 371 512.417 0 Tp
TP
0 Tr
(d) Tx 1 0 Tk
(\r) TX 
TO
u
0 R
0 G
407.5 542.75 m
407.5 465.25 l
S
407.5 462.2324 m
406.9727 463.6523 406.0742 465.4141 405.123 466.5059 c
407.5 465.646 l
409.877 466.5059 l
408.9258 465.4141 408.0273 463.6523 407.5 462.2324 c
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407.5 545.7676 m
408.0273 544.3477 408.9258 542.5859 409.877 541.4941 c
407.5 542.354 l
405.123 541.4941 l
406.0742 542.5859 406.9727 544.3477 407.5 545.7676 c
s
U
0 To
1 0 0 1 383 370.25 0 Tp
TP
0 Tr
0 O
0 0 0 1 k
/_Helvetica 10 Tf
(r) Tx 1 0 Tk
/_Helvetica 7 Tf
-2 Ts
(-1) Tx 1 0 Tk
(\r) TX 
TO
0 To
1 0 0 1 383.5 377.25 0 Tp
TP
0 Tr
/_Helvetica 10 Tf
0 Ts
(~) Tx 1 0 Tk
(\r) TX 
TO
0 R
0 G
2 w
379.2783 512.7354 m
379.2783 404.4927 l
B
0 To
1 0 0 1 448 243 0 Tp
TP
0 Tr
1 w
(\r) TX 1 0 Tk
TO
0 To
1 0 0 1 230.333 378 0 Tp
TP
0 Tr
/_Helvetica 7 Tf
(\r) TX 1 0 Tk
TO
0 To
1 0 0 1 224.333 383.334 0 Tp
TP
0 Tr
(\r) TX 1 0 Tk
TO
0 To
1 0 0 1 383.666 329 0 Tp
TP
0 Tr
/_Symbol 8 Tf
(\(0,t\)) Tx 1 0 Tk
(\r) TX 
TO
0 To
1 0 0 1 180 382.5 0 Tp
TP
0 Tr
(0) Tx 1 0 Tk
(\r) TX 
TO
0 To
1 0 0 1 371 463 0 Tp
TP
0 Tr
/_Helvetica 7 Tf
-2 Ts
(3) Tx 1 0 Tk
(\r) TX 
TO
0 To
1 0 0 1 371.5 534 0 Tp
TP
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/_Helvetica 8 Tf
0 Ts
(1) Tx 1 0 Tk
(\r) TX 
TO
%%PageTrailer
gsave annotatepage grestore showpage
%%Trailer
Adobe_Illustrator_AI3 /terminate get exec
Adobe_pattern_AI3 /terminate get exec
Adobe_typography_AI3 /terminate get exec
Adobe_customcolor /terminate get exec
Adobe_cshow /terminate get exec
Adobe_packedarray /terminate get exec
%%EOF

%%EndDocument
 @endspecial 515 3810 a Fu(Figure)26 b(7:)36 b(Example)26
b(I:)h(p)r(erio)r(dic)g(domains)g(of)g(lev)n(el)f Fs(\000)p
Fu(1.)36 b(0)26 b(is)h(an)g(op)r(en)g(p)r(en)n(tagon;)f(2,)h
Fq(a)515 3910 y Fu(and)i Fq(c)h Fu(are)f(op)r(en)g(line)h(segmen)n(ts;)
g(3,)g Fq(b)p Fu(,)g(and)g Fq(d)g Fu(are)e(p)r(oin)n(ts.)43
b(The)30 b(p)r(oin)n(t)g(\(0)p Fq(;)14 b Fs(\000)p Fu(1\))29
b(lies)g(on)515 4009 y(the)f(same)f(p)r(erio)r(d-7)f(orbit)h(as)g(6.)37
b(The)27 b(in)n(terv)-5 b(al)27 b Fq(r)2107 4021 y Fp(\000)p
Fo(1)2225 4009 y Fu(is)g(mapp)r(ed)h(in)n(to)f(its)h(mirror)e(image)557
4109 y(~)-84 b Fq(r)552 4121 y Fp(\000)p Fo(1)669 4109
y Fu(b)n(y)27 b(\014v)n(e)h(iterations)e(of)i(the)g(dynamical)f(map.)
1905 5506 y(57)p eop
%%Page: 58 58
58 57 bop 889 2132 a @beginspecial 194 @llx 238 @lly
448 @urx 500 @ury 2540 @rwi @setspecial
%%BeginDocument: fig.ExampleI.5.eps
%!PS-Adobe-3.0 EPSF-3.0
%%Creator: Adobe Illustrator(TM) 3.2
%%AI8_CreatorVersion: 10.0
%%For: (John H. Lowenstein) (New York University)
%%Title: (fig.ExampleI5A.eps)
%%CreationDate: 3/18/02 4:00 PM
%%BoundingBox: 194 238 448 500
%%DocumentProcessColors: Black
%%DocumentFonts: Helvetica
%%+ Symbol
%%DocumentNeededFonts: Helvetica
%%+ Symbol
%%DocumentSuppliedResources: procset Adobe_packedarray 2.0 0
%%+ procset Adobe_cshow 1.1 0
%%+ procset Adobe_customcolor 1.0 0
%%+ procset Adobe_typography_AI3 1.0 1
%%+ procset Adobe_pattern_AI3 1.0 0
%%+ procset Adobe_Illustrator_AI3 1.0 1
%AI3_ColorUsage: Color
%AI3_IncludePlacedImages
%AI3_TemplateBox: 306.5 395.5 306.5 395.5
%AI3_TileBox: 30 35 582 761
%AI3_DocumentPreview: Header
%%PageOrigin:30 35
%%AI3_PaperRect:-30 761 582 -31
%%AI3_Margin:30 -31 -30 31
%AI7_GridSettings: 72 8 72 8 1 0 0.8 0.8 0.8 0.9 0.9 0.9
%AI9_Flatten: 1
%%EndComments
%%BeginProlog
%%BeginResource: procset Adobe_packedarray 2.0 0
%%Title: (Packed Array Operators)
%%Version: 2.0 0
%%CreationDate: (8/2/90) ()
%%Copyright: ((C) 1987-1996 Adobe Systems Incorporated All Rights Reserved)
userdict /Adobe_packedarray 5 dict dup begin put
/initialize
{
/packedarray where
	{
	pop
	}
	{
	Adobe_packedarray begin
	Adobe_packedarray
		{
		dup xcheck
			{
			bind
			} if
		userdict 3 1 roll put
		} forall
 end
	} ifelse
} def
/terminate
{
} def
/packedarray
{
array astore readonly
} def
/setpacking
{
pop
} def
/currentpacking
{
false
} def
currentdict readonly pop end
%%EndResource
Adobe_packedarray /initialize get exec
%%BeginResource: procset Adobe_cshow 1.1 0
%%Title: (cshow Operator)
%%Version: 1.1 0
%%CreationDate: (1/23/89) ()
%%Copyright: ((C) 1987-1996 Adobe Systems Incorporated All Rights Reserved)
currentpacking true setpacking
userdict /Adobe_cshow 3 dict dup begin put
/initialize
{
/cshow where
	{
	pop
	}
	{
	userdict /Adobe_cshow_vars 1 dict dup begin put
	/_cshow
		{} def
	Adobe_cshow begin
	Adobe_cshow
		{
		dup xcheck
			{
			bind
			} if
		userdict 3 1 roll put
		} forall
 end
 end
	} ifelse
} def
/terminate
{
} def
/cshow
{
exch
Adobe_cshow_vars
	exch /_cshow
	exch put
	{
	0 0 Adobe_cshow_vars /_cshow get exec
	} forall
} def
currentdict readonly pop end
setpacking
%%EndResource
%%BeginResource: procset Adobe_customcolor 1.0 0
%%Title: (Custom Color Operators)
%%Version: 1.0 0
%%CreationDate: (5/9/88) ()
%%Copyright: ((C) 1987-1996 Adobe Systems Incorporated All Rights Reserved)
currentpacking true setpacking
userdict /Adobe_customcolor 5 dict dup begin put
/initialize
{
/setcustomcolor where
	{
	pop
	}
	{
	Adobe_customcolor begin
	Adobe_customcolor
		{
		dup xcheck
			{
			bind
			} if
		pop pop
		} forall
 end
	Adobe_customcolor begin
	} ifelse
} def
/terminate
{
currentdict Adobe_customcolor eq
	{
 end
	} if
} def
/findcmykcustomcolor
{
5 packedarray
}  def
/setcustomcolor
{
exch
aload pop pop
4
	{
	4 index mul 4 1 roll
	} repeat
5 -1 roll pop
setcmykcolor
} def
/setoverprint
{
pop
} def
currentdict readonly pop end
setpacking
%%EndResource
%%BeginResource: procset Adobe_typography_AI3 2.0 0
%%Title: (Typography Operators)
%%Version: 2.0 0
%%CreationDate:(5/31/90) ()
%%Copyright: ((C) 1987-1996 Adobe Systems Incorporated All Rights Reserved)
currentpacking true setpacking
userdict /Adobe_typography_AI3 48 dict dup begin put
/initialize
{
/TZ
 where
	{
	pop
	}
	{
	Adobe_typography_AI3 begin
	Adobe_typography_AI3
		{
		dup xcheck
			{
			bind
			} if
		pop pop
		} forall
 end
	Adobe_typography_AI3 begin
	} ifelse
} def
/terminate
{
currentdict Adobe_typography_AI3 eq
	{
 end
	} if
} def
/modifyEncoding
{
	/_tempEncode exch ddef
	
	/_pntr 0 ddef
	
	{
		counttomark -1 roll
		dup type dup /marktype eq 		
		{
			pop pop exit
		}
		{
			/nametype eq
			{
				_tempEncode /_pntr dup load dup 3 1 roll 1 add ddef 3 -1 roll
				put
			}
			{
				/_pntr exch ddef					
			}
			ifelse
		}
		ifelse
	}
	loop	
	
	_tempEncode
}
def
/TE
{
	StandardEncoding 256 array copy modifyEncoding 
	/_nativeEncoding exch def
} def
%
/TZ		
{
	dup type /arraytype eq {/_wv exch def} {/_wv 0 def} ifelse 
	/_useNativeEncoding exch def
	pop pop
	
	findfont _wv type /arraytype eq {_wv makeblendedfont} if dup length 2 add dict
	
 begin
	
		mark exch
		{
			1 index /FID ne { def } if cleartomark mark
		}
		forall
		pop
		
		/FontName exch def
		
		counttomark 0 eq
		{
			1 _useNativeEncoding eq
			{
				/Encoding _nativeEncoding def
			}
			if
			cleartomark
		}
		{	
			/Encoding load 256 array copy 
			modifyEncoding /Encoding exch def
		}
		ifelse		
		FontName currentdict
 end
	
	definefont pop
}
def
/tr
{
_ax _ay 3 2 roll
} def
/trj
{
_cx _cy _sp _ax _ay 6 5 roll
} def
/a0
{
/Tx
	{
	dup 
	currentpoint 3 2 roll
	tr _psf
	newpath moveto
	tr _ctm _pss
	} ddef
/Tj
	{
	dup
	currentpoint 3 2 roll
	trj _pjsf
	newpath moveto
	trj _ctm _pjss
	} ddef
	
} def
/a1
{
/Tx
	{
	dup currentpoint 4 2 roll gsave
	dup currentpoint 3 2 roll
	tr _psf
	newpath moveto
	tr _ctm _pss
	grestore 3 1 roll moveto tr sp
	} ddef
/Tj
	{
	dup currentpoint 4 2 roll gsave
	dup currentpoint 3 2 roll
	trj _pjsf
	newpath moveto
	trj _ctm _pjss
	grestore 3 1 roll moveto tr sp
	} ddef
	
} def
/e0
{
/Tx
	{
	tr _psf
	} ddef
/Tj
	{
	trj _pjsf
	} ddef
} def
/e1
{
/Tx
	{
	dup currentpoint 4 2 roll gsave 
	tr _psf  
	grestore 3 1 roll moveto tr sp 
	} ddef
/Tj
	{
	dup currentpoint 4 2 roll gsave 
	trj _pjsf
	grestore 3 1 roll moveto tr sp 
	} ddef
} def
/i0
{
/Tx
	{
	tr sp
	} ddef
/Tj
	{
	trj jsp
	} ddef
} def
/i1
{
W N
} def
/o0
{
/Tx
	{
	tr sw rmoveto
	} ddef
/Tj
	{
	trj swj rmoveto
	} ddef
} def
/r0
{
/Tx
	{
	tr _ctm _pss
	} ddef
/Tj
	{
	trj _ctm _pjss
	} ddef
} def
/r1
{
/Tx
	{
	dup currentpoint 4 2 roll currentpoint gsave newpath moveto
	tr _ctm _pss 
	grestore 3 1 roll moveto tr sp 
	} ddef
/Tj
	{
	dup currentpoint 4 2 roll currentpoint gsave newpath moveto
	trj _ctm _pjss
	grestore 3 1 roll moveto tr sp 
	} ddef
} def
/To
{
	pop _ctm currentmatrix pop
} def
/TO
{
	iTe _ctm setmatrix newpath
} def
/Tp
{
	pop _tm astore pop _ctm setmatrix 
	_tDict begin /W {} def /h {} def
} def
/TP
{
 end
	iTm 0 0 moveto
} def
/Tr
{
	_render 3 le {currentpoint newpath moveto} if
	dup 8 eq {pop 0} {dup 9 eq {pop 1} if} ifelse
	dup /_render exch ddef
	_renderStart exch get load exec
} def
/iTm
{
_ctm setmatrix _tm concat 0 _rise translate _hs 1 scale
} def
/Tm
{
_tm astore pop iTm 0 0 moveto
} def
/Td
{
_mtx translate _tm _tm concatmatrix pop iTm 0 0 moveto
} def
/iTe
{
	_render -1 eq {} {_renderEnd _render get dup null ne {load exec} {pop} ifelse} ifelse
	/_render -1 ddef
} def
/Ta
{
pop
} def
/Tf
{
dup 1000 div /_fScl exch ddef
exch findfont exch scalefont setfont
} def
/Tl
{
pop
0 exch _leading astore pop
} def
/Tt
{
pop
} def
/TW
{
3 npop
} def
/Tw
{
/_cx exch ddef
} def
/TC
{
3 npop
} def
/Tc
{
/_ax exch ddef
} def
/Ts
{
/_rise exch ddef
currentpoint
iTm
moveto
} def
/Ti
{
3 npop
} def
/Tz
{
100 div /_hs exch ddef
iTm
} def
/TA
{
pop
} def
/Tq
{
pop
} def
/Th
{
pop pop pop pop pop
} def
/TX {pop} def
%/Tx
%/Tj
/Tk
{
exch pop _fScl mul neg 0 rmoveto
} def
/TK
{
2 npop
} def
/T*
{
_leading aload pop neg Td
} def
/T*-
{
_leading aload pop Td
} def
/T-
{
_hyphen Tx
} def
/T+
{} def
/TR
{
_ctm currentmatrix pop 	
_tm astore pop 
iTm 0 0 moveto 
} def
/TS
{
0 eq {Tx} {Tj} ifelse
} def
currentdict readonly pop end
setpacking
%%EndResource
%%BeginResource: procset Adobe_pattern_AI3 1.1 0
%%Title: (Adobe Illustrator (R) Version 3.0 Pattern Operators)
%%Version: 1.1 0
%%CreationDate: (7/21/89) ()
%%Copyright: ((C) 1987-1996 Adobe Systems Incorporated All Rights Reserved)
currentpacking true setpacking
userdict /Adobe_pattern_AI3 16 dict dup begin put
/initialize
{
/definepattern where
	{
	pop
	}
	{
	Adobe_pattern_AI3 begin
	Adobe_pattern_AI3
		{
		dup xcheck
			{
			bind
			} if
		pop pop
		} forall
	mark
	cachestatus 7 1 roll pop pop pop pop exch pop exch
		{
		{
		10000 add
		dup 2 index gt
			{
			exit
			} if
		dup setcachelimit
		} loop
		} stopped
	cleartomark
	} ifelse
} def
/terminate
{
currentdict Adobe_pattern_AI3 eq
	{
 end
	} if
} def
errordict
/nocurrentpoint
{
pop
stop
} put
errordict
/invalidaccess
{
pop
stop
} put
/patternencoding
256 array def
0 1 255
{
patternencoding exch ( ) 2 copy exch 0 exch put cvn put
} for
/definepattern
{
17 dict begin
/uniform exch def
/cache exch def
/key exch def
/procarray exch def
/mtx exch matrix invertmatrix def
/height exch def
/width exch def
/ctm matrix currentmatrix def
/ptm matrix def
/str 32 string def
/slice 9 dict def
slice /s 1 put
slice /q 256 procarray length div sqrt floor cvi put
slice /b 0 put
/FontBBox [0 0 0 0] def
/FontMatrix mtx matrix copy def
/Encoding patternencoding def
/FontType 3 def
/BuildChar
	{
	exch
 begin
	/setstrokeadjust where {pop true setstrokeadjust} if
	slice begin
	dup q dup mul mod s idiv /i exch def
	dup q dup mul mod s mod /j exch def
	q dup mul idiv procarray exch get
	/xl j width s div mul def
	/xg j 1 add width s div mul def
	/yl i height s div mul def
	/yg i 1 add height s div mul def
	uniform
		{
		1 1
		}
		{
		width 0 dtransform
		dup mul exch dup mul add sqrt dup 1 add exch div
		0 height dtransform
		dup mul exch dup mul add sqrt dup 1 add exch div
		} ifelse
	width 0 cache
		{
		xl 4 index mul yl 4 index mul xg 6 index mul yg 6 index mul
		setcachedevice
		}
		{
		setcharwidth
		} ifelse
	gsave
	scale
	newpath
	xl yl moveto
	xg yl lineto
	xg yg lineto
	xl yg lineto
	closepath
	clip
	newpath
 end
 end
	exec
	grestore
	} def
key currentdict definefont
end
} def
/patterncachesize
{
gsave
newpath
0 0 moveto
width 0 lineto
width height lineto
0 height lineto
closepath
patternmatrix setmatrix
pathbbox
exch ceiling 4 -1 roll floor sub 3 1 roll
ceiling exch floor sub
mul 1 add
grestore
} def
/patterncachelimit
{
cachestatus 7 1 roll 6 npop 8 mul
} def
/patternpath
{
exch dup begin setfont
ctm setmatrix
concat
slice exch /b exch slice /q get dup mul mul put
FontMatrix concat
uniform
	{
	width 0 dtransform round width div exch round width div exch
	0 height dtransform round height div exch height div exch
	0 0 transform round exch round exch
	ptm astore setmatrix
	}
	{
	ptm currentmatrix pop
	} ifelse
{currentpoint} stopped not
	{
	2 npop
	pathbbox
	true
	4 index 3 index eq
	4 index 3 index eq
	and
		{
		pop false
			{
			{2 npop}
			{3 npop true}
			{7 npop true}
			{pop true}
			pathforall
			} stopped
			{
			5 npop true
			} if
		} if
		{
		height div ceiling height mul 4 1 roll
		width div ceiling width mul 4 1 roll
		height div floor height mul 4 1 roll
		width div floor width mul 4 1 roll
		2 index sub height div ceiling cvi exch
		3 index sub width div ceiling cvi exch
		4 2 roll moveto
		FontMatrix mtx invertmatrix
		dup dup 4 get exch 5 get rmoveto
		ptm ptm concatmatrix pop
		slice /s
		patterncachesize patterncachelimit div ceiling sqrt ceiling cvi
		dup slice /q get gt
			{
			pop slice /q get
			} if
		put
		0 1 slice /s get dup mul 1 sub
			{
			slice /b get add
			gsave
			0 1 str length 1 sub
				{
				str exch 2 index put
				} for
			pop
			dup
				{
				gsave
				ptm setmatrix
				1 index str length idiv {str show} repeat
				1 index str length mod str exch 0 exch getinterval show
				grestore
				0 height rmoveto
				} repeat
			grestore
			} for
		2 npop
		}
		{
		4 npop
		} ifelse
	} if
end
} def
/patternclip
{
clip
} def
/patternstrokepath
{
strokepath
} def
/patternmatrix
matrix def
/patternfill
{
dup type /dicttype eq
	{
	Adobe_pattern_AI3 /patternmatrix get
	} if
gsave
patternclip
Adobe_pattern_AI3 /patternpath get exec
grestore
newpath
} def
/patternstroke
{
dup type /dicttype eq
	{
	Adobe_pattern_AI3 /patternmatrix get
	} if
gsave
patternstrokepath
true
	{
		{
			{
			newpath 
			moveto
			}
			{
			lineto
			}
			{
			curveto
			}
			{
			closepath
			3 copy
			Adobe_pattern_AI3 /patternfill get exec
			} pathforall
		3 npop
		} stopped
			{
			5 npop
			patternclip
			Adobe_pattern_AI3 /patternfill get exec
			} if
	}
	{
	patternclip
	Adobe_pattern_AI3 /patternfill get exec
	} ifelse
grestore
newpath
} def
/patternashow
{
3 index type /dicttype eq
	{
	Adobe_pattern_AI3 /patternmatrix get 4 1 roll
	} if
	{
	2 npop (0) exch
	2 copy 0 exch put pop
	gsave
	false charpath currentpoint
	6 index 6 index 6 index
	Adobe_pattern_AI3 /patternfill get exec
	grestore
	newpath moveto
	2 copy rmoveto
	} exch cshow
5 npop
} def
/patternawidthshow
{
6 index type /dicttype eq
	{
	Adobe_pattern_AI3 /patternmatrix get 7 1 roll
	} if
	{
	2 npop (0) exch
	2 copy 0 exch put 
	gsave
	_sp eq {5 index 5 index rmoveto} if
	false charpath currentpoint
	9 index 9 index 9 index
	Adobe_pattern_AI3 /patternfill get exec
	grestore
	newpath moveto
	2 copy rmoveto
	} exch cshow
8 npop
} def
/patternashowstroke
{
4 index type /dicttype eq
	{
	patternmatrix /patternmatrix get 5 1 roll
	} if
4 1 roll
	{
	2 npop (0) exch
	2 copy 0 exch put pop
	gsave
	false charpath
	currentpoint
	4 index setmatrix
	7 index 7 index 7 index
	Adobe_pattern_AI3 /patternstroke get exec
	grestore
	newpath moveto
	2 copy rmoveto
	} exch cshow
6 npop
} def
/patternawidthshowstroke
{
7 index type /dicttype eq
	{
	patternmatrix /patternmatrix get 8 1 roll
	} if
7 1 roll
	{
	2 npop (0) exch
	2 copy 0 exch put
	gsave
	_sp eq {5 index 5 index rmoveto} if
	false charpath currentpoint
	7 index setmatrix
	10 index 10 index 10 index
	Adobe_pattern_AI3 /patternstroke get exec
	grestore
	newpath moveto
	2 copy rmoveto
	} exch cshow
9 npop
} def
currentdict readonly pop end
setpacking
%%EndResource
%%BeginResource: procset Adobe_Illustrator_AI3 1.1 0
%%Title: (Adobe Illustrator (R) Version 3.0 Full Prolog)
%%Version: 1.1 0
%%CreationDate: (3/7/1994) ()
%%Copyright: ((C) 1987-1996 Adobe Systems Incorporated All Rights Reserved)
currentpacking true setpacking
userdict /Adobe_Illustrator_AI3 71 dict dup begin put
/initialize
{
userdict /Adobe_Illustrator_AI3_vars 67 dict dup begin put
/_lp /none def
/_pf {} def
/_ps {} def
/_psf {} def
/_pss {} def
/_pjsf {} def
/_pjss {} def
/_pola 0 def
/_doClip 0 def
/cf	currentflat def
/_tm matrix def
/_renderStart [/e0 /r0 /a0 /o0 /e1 /r1 /a1 /i0] def 
/_renderEnd [null null null null /i1 /i1 /i1 /i1] def
/_render -1 def
/_rise 0 def
/_ax 0 def
/_ay 0 def
/_cx 0 def
/_cy 0 def
/_leading [0 0] def
/_ctm matrix def
/_mtx matrix def
/_sp 16#020 def
/_hyphen (-) def
/_fScl 0 def
/_cnt 0 def
/_hs 1 def
/_nativeEncoding 0 def
/_useNativeEncoding 0 def
/_tempEncode 0 def
/_pntr 0 def
/_tDict 2 dict def
/_wv 0 def
/Tx {} def
/Tj {} def
/CRender {} def
/_AI3_savepage {} def
/_gf null def
/_cf 4 array def
/_if null def
/_of false def
/_fc {} def
/_gs null def
/_cs 4 array def
/_is null def
/_os false def
/_sc {} def
/_pd 1 dict def
/_ed 15 dict def
/_pm matrix def
/_fm null def
/_fd null def
/_fdd null def
/_sm null def
/_sd null def
/_sdd null def
/_i null def
Adobe_Illustrator_AI3 begin
Adobe_Illustrator_AI3 dup /nc get begin
	{
	dup xcheck
		{
		bind
		} if
	pop pop
	} forall
end
end
end
Adobe_Illustrator_AI3 begin
Adobe_Illustrator_AI3_vars begin
newpath
} def
/terminate
{
end
end
} def
/_
null def
/ddef
{
Adobe_Illustrator_AI3_vars 3 1 roll put
} def
/xput
{
dup load dup length exch maxlength eq
	{
	dup dup load dup
	length 2 mul dict copy def
	} if
load begin def end
} def
/npop
{
	{
	pop
	} repeat
} def
/sw
{
dup length exch stringwidth
exch 5 -1 roll 3 index mul add
4 1 roll 3 1 roll mul add
} def
/swj
{
dup 4 1 roll
dup length exch stringwidth 
exch 5 -1 roll 3 index mul add
4 1 roll 3 1 roll mul add 
6 2 roll /_cnt 0 ddef
{1 index eq {/_cnt _cnt 1 add ddef} if} forall pop
exch _cnt mul exch _cnt mul 2 index add 4 1 roll 2 index add 4 1 roll pop pop
} def
/ss
{
4 1 roll
	{
	2 npop 
	(0) exch 2 copy 0 exch put pop
	gsave
	false charpath currentpoint
	4 index setmatrix
	stroke
	grestore
	moveto
	2 copy rmoveto
	} exch cshow
3 npop
} def
/jss
{
4 1 roll
	{
	2 npop 
	(0) exch 2 copy 0 exch put 
	gsave
	_sp eq 
		{
		exch 6 index 6 index 6 index 5 -1 roll widthshow  
		currentpoint
		}
		{
		false charpath currentpoint
		4 index setmatrix stroke
		}ifelse
	grestore
	moveto
	2 copy rmoveto
	} exch cshow
6 npop
} def
/sp
{
	{
	2 npop (0) exch
	2 copy 0 exch put pop
	false charpath
	2 copy rmoveto
	} exch cshow
2 npop
} def
/jsp
{
	{
	2 npop 
	(0) exch 2 copy 0 exch put 
	_sp eq 
		{
		exch 5 index 5 index 5 index 5 -1 roll widthshow  
		}
		{
		false charpath
		}ifelse
	2 copy rmoveto
	} exch cshow
5 npop
} def
/pl
{
transform
0.25 sub round 0.25 add exch
0.25 sub round 0.25 add exch
itransform
} def
/setstrokeadjust where
	{
	pop true setstrokeadjust
	/c
	{
	curveto
	} def
	/C
	/c load def
	/v
	{
	currentpoint 6 2 roll curveto
	} def
	/V
	/v load def
	/y
	{
	2 copy curveto
	} def
	/Y
	/y load def
	/l
	{
	lineto
	} def
	/L
	/l load def
	/m
	{
	moveto
	} def
	}
	{
	/c
	{
	pl curveto
	} def
	/C
	/c load def
	/v
	{
	currentpoint 6 2 roll pl curveto
	} def
	/V
	/v load def
	/y
	{
	pl 2 copy curveto
	} def
	/Y
	/y load def
	/l
	{
	pl lineto
	} def
	/L
	/l load def
	/m
	{
	pl moveto
	} def
	} ifelse
/d
{
setdash
} def
/cf	{} def
/i
{
dup 0 eq
	{
	pop cf
	} if
setflat
} def
/j
{
setlinejoin
} def
/J
{
setlinecap
} def
/M
{
setmiterlimit
} def
/w
{
setlinewidth
} def
/H
{} def
/h
{
closepath
} def
/N
{
_pola 0 eq 
	{
	_doClip 1 eq {clip /_doClip 0 ddef} if 
	newpath
	} 
	{
	/CRender {N} ddef
	}ifelse
} def
/n
{N} def
/F
{
_pola 0 eq 
	{
	_doClip 1 eq 
		{
		gsave _pf grestore clip newpath /_lp /none ddef _fc 
		/_doClip 0 ddef
		}
		{
		_pf
		}ifelse
	} 
	{
	/CRender {F} ddef
	}ifelse
} def
/f
{
closepath
F
} def
/S
{
_pola 0 eq 
	{
	_doClip 1 eq 
		{
		gsave _ps grestore clip newpath /_lp /none ddef _sc 
		/_doClip 0 ddef
		}
		{
		_ps
		}ifelse
	} 
	{
	/CRender {S} ddef
	}ifelse
} def
/s
{
closepath
S
} def
/B
{
_pola 0 eq 
	{
	_doClip 1 eq
	gsave F grestore 
		{
		gsave S grestore clip newpath /_lp /none ddef _sc
		/_doClip 0 ddef
		} 
		{
		S
		}ifelse
	}
	{
	/CRender {B} ddef
	}ifelse
} def
/b
{
closepath
B
} def
/W
{
/_doClip 1 ddef
} def
/*
{
count 0 ne 
	{
	dup type (stringtype) eq {pop} if
	} if 
_pola 0 eq {newpath} if
} def
/u
{} def
/U
{} def
/q
{
_pola 0 eq {gsave} if
} def
/Q
{
_pola 0 eq {grestore} if
} def
/*u
{
_pola 1 add /_pola exch ddef
} def
/*U
{
_pola 1 sub /_pola exch ddef 
_pola 0 eq {CRender} if
} def
/D
{pop} def
/*w
{} def
/*W
{} def
/`
{
/_i save ddef
6 1 roll 4 npop
concat pop
userdict begin
/showpage {} def
0 setgray
0 setlinecap
1 setlinewidth
0 setlinejoin
10 setmiterlimit
[] 0 setdash
/setstrokeadjust where {pop false setstrokeadjust} if
newpath
0 setgray
false setoverprint
} def
/~
{
end
_i restore
} def
/@
{} def
/&
{} def
/O
{
0 ne
/_of exch ddef
/_lp /none ddef
} def
/R
{
0 ne
/_os exch ddef
/_lp /none ddef
} def
/g
{
/_gf exch ddef
/_fc
{
_lp /fill ne
	{
	_of setoverprint
	_gf setgray
	/_lp /fill ddef
	} if
} ddef
/_pf
{
_fc
fill
} ddef
/_psf
{
_fc
ashow
} ddef
/_pjsf
{
_fc
awidthshow
} ddef
/_lp /none ddef
} def
/G
{
/_gs exch ddef
/_sc
{
_lp /stroke ne
	{
	_os setoverprint
	_gs setgray
	/_lp /stroke ddef
	} if
} ddef
/_ps
{
_sc
stroke
} ddef
/_pss
{
_sc
ss
} ddef
/_pjss
{
_sc
jss
} ddef
/_lp /none ddef
} def
/k
{
_cf astore pop
/_fc
{
_lp /fill ne
	{
	_of setoverprint
	_cf aload pop setcmykcolor
	/_lp /fill ddef
	} if
} ddef
/_pf
{
_fc
fill
} ddef
/_psf
{
_fc
ashow
} ddef
/_pjsf
{
_fc
awidthshow
} ddef
/_lp /none ddef
} def
/K
{
_cs astore pop
/_sc
{
_lp /stroke ne
	{
	_os setoverprint
	_cs aload pop setcmykcolor
	/_lp /stroke ddef
	} if
} ddef
/_ps
{
_sc
stroke
} ddef
/_pss
{
_sc
ss
} ddef
/_pjss
{
_sc
jss
} ddef
/_lp /none ddef
} def
/x
{
/_gf exch ddef
findcmykcustomcolor
/_if exch ddef
/_fc
{
_lp /fill ne
	{
	_of setoverprint
	_if _gf 1 exch sub setcustomcolor
	/_lp /fill ddef
	} if
} ddef
/_pf
{
_fc
fill
} ddef
/_psf
{
_fc
ashow
} ddef
/_pjsf
{
_fc
awidthshow
} ddef
/_lp /none ddef
} def
/X
{
/_gs exch ddef
findcmykcustomcolor
/_is exch ddef
/_sc
{
_lp /stroke ne
	{
	_os setoverprint
	_is _gs 1 exch sub setcustomcolor
	/_lp /stroke ddef
	} if
} ddef
/_ps
{
_sc
stroke
} ddef
/_pss
{
_sc
ss
} ddef
/_pjss
{
_sc
jss
} ddef
/_lp /none ddef
} def
/dp
{
dup null eq
{
pop
_dp 0 ne
	{
	0 1 _dp 1 sub _dl mod
		{
		_da exch get 3 get
		} for
	_dp 1 sub _dl mod 1 add packedarray
	_da 0 get aload pop 8 -1 roll 5 -1 roll pop 4 1 roll
	definepattern pop
	} if
}
{
_dp 0 ne _dp _dl mod 0 eq and
	{
	null dp
	} if
7 packedarray _da exch _dp _dl mod exch put
_dp _dl mod _da 0 get 4 get 2 packedarray
/_dp _dp 1 add def
} ifelse
} def
/E
{
_ed begin
dup 0 get type /arraytype ne
	{
	0
		{
		dup 1 add index type /arraytype eq
			{
			1 add
			}
			{
			exit
			} ifelse
		} loop
	array astore
	} if
/_dd exch def
/_ury exch def
/_urx exch def
/_lly exch def
/_llx exch def
/_n exch def
/_y 0 def
/_dl 4 def
/_dp 0 def
/_da _dl array def
0 1 _dd length 1 sub
	{
	/_d exch _dd exch get def
	0 2 _d length 2 sub
		{
		/_x exch def
		/_c _d _x get _ ne def
		/_r _d _x 1 add get cvlit def
		_r _ ne
			{
			_urx _llx sub _ury _lly sub [1 0 0 1 0 0] 
				[
				/save cvx
				_llx neg _lly neg /translate cvx
				_c
					{
					nc /begin cvx
					} if
				_r dup type /stringtype eq
					{
					cvx
					}
					{
					{exec} /forall cvx
					} ifelse
				_c
					{
					/end cvx
					} if
				/restore cvx
				] cvx
			/_fn 12 _n length add string def
			_y _fn cvs pop
			/_y _y 1 add def
			_fn 12 _n putinterval
			_fn _c false dp
			_d exch _x 1 add exch put
			} if
		} for
	} for
null dp
_n _dd /_pd
end xput
} def
/fc
{
_fm dup concatmatrix pop
} def
/p
{
/_fm exch ddef
9 -2 roll _pm translate fc
7 -2 roll _pm scale fc
5 -1 roll _pm rotate fc
4 -2 roll exch 0 ne
	{
	dup _pm rotate fc
	1 -1 _pm scale fc
	neg _pm rotate fc
	}
	{
	pop
	} ifelse
dup _pm rotate fc
exch dup sin exch cos div 1 0 0 1 0 6 2 roll
_pm astore fc
neg _pm rotate fc
_pd exch get /_fdd exch ddef
/_pf
{
save
/_doClip 0 ddef
0 1 _fdd length 1 sub
	{
	/_fd exch _fdd exch get ddef
	_fd
	0 2 _fd length 2 sub
		{
		gsave
		2 copy get dup _ ne
			{
			cvx exec _fc
			}
			{
			pop
			} ifelse
		2 copy 1 add get dup _ ne
			{
			aload pop findfont _fm
			patternfill
			}
			{
			pop
			fill
			} ifelse
		grestore
		pop
		} for
	pop
	} for
restore
newpath
} ddef
/_psf
{
save
/_doClip 0 ddef
0 1 _fdd length 1 sub
	{
	/_fd exch _fdd exch get ddef
	_fd
	0 2 _fd length 2 sub
		{
		gsave
		2 copy get dup _ ne
			{
			cvx exec _fc
			}
			{
			pop
			} ifelse
		2 copy 1 add get dup _ ne
			{
			aload pop findfont _fm
			9 copy 6 npop patternashow
			}
			{
			pop
			6 copy 3 npop ashow
			} ifelse
		grestore
		pop
		} for
	pop
	} for
restore
%3 npop newpath
sw rmoveto
} ddef
/_pjsf
{
save
/_doClip 0 ddef
0 1 _fdd length 1 sub
	{
	/_fd exch _fdd exch get ddef
	_fd
	0 2 _fd length 2 sub
		{
		gsave
		2 copy get dup _ ne
			{
			cvx exec _fc
			}
			{
			pop
			} ifelse
		2 copy 1 add get dup _ ne
			{
			aload pop findfont _fm
			12 copy 6 npop patternawidthshow
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33.7876 40.752 L
43.6475 40.7529 L
50.6094 33.7939 L
50.6094 23.9336 L
43.6494 16.9736 L
33.7915 16.9727 L
s
%AI6_EndPatternLayer
) &
(0 O 0 R 0.9569 0.8275 0 0 k
 0.9569 0.8275 0 0 K
) @
(
%AI6_BeginPatternLayer
0 J 0 j 1 w 4 M []0 d
43.6514 7.1123 m
43.6514 16.9727 L
33.7915 16.9727 L
33.7915 7.1123 L
43.6514 7.1123 L
f
26.8296 23.9307 m
26.8296 33.791 L
16.9702 33.791 L
16.9702 23.9307 L
26.8296 23.9307 L
f
10.0093 7.1094 m
10.0093 16.9697 L
0.1538 16.9697 L
0.1538 7.1094 L
10.0093 7.1094 L
f
43.6494 40.752 m
43.6494 50.6113 L
33.7876 50.6113 L
33.7876 40.752 L
43.6494 40.752 L
f
10.0083 40.749 m
10.0083 50.6084 L
0.1499 50.6084 L
0.1499 40.749 L
10.0083 40.749 L
f
%AI6_EndPatternLayer
) &
] E
%AI3_EndPattern
%AI3_BeginPattern: (Pyramids)
(Pyramids) 1 1 19.5 19.5 [
%AI3_Tile
(0 O 0 R 0.1882 0.1294 0.102 0.0118 k
 0.1882 0.1294 0.102 0.0118 K
) @
(
%AI6_BeginPatternLayer
0 J 0 j 1 w 4 M []0 d
1 19.5 m
10.25 10.25 l
19.5 19.5 l
1 19.5 l
f
%AI6_EndPatternLayer
) &
(0 O 0 R 0.6235 0.4863 0.4863 0.4784 k
 0.6235 0.4863 0.4863 0.4784 K
) @
(
%AI6_BeginPatternLayer
0 J 0 j 1 w 4 M []0 d
19.5 1 m
10.25 10.25 l
1 1 l
19.5 1 l
f
%AI6_EndPatternLayer
) &
(0 O 0 R 0.349 0.2549 0.2235 0.0667 k
 0.349 0.2549 0.2235 0.0667 K
) @
(
%AI6_BeginPatternLayer
0 J 0 j 1 w 4 M []0 d
1 1 m
10.25 10.25 l
1 19.5 l
1 1 l
f
%AI6_EndPatternLayer
) &
(0 O 0 R 0.4902 0.3647 0.3451 0.2196 k
 0.4902 0.3647 0.3451 0.2196 K
) @
(
%AI6_BeginPatternLayer
0 J 0 j 1 w 4 M []0 d
19.5 19.5 m
10.25 10.25 l
19.5 1 l
19.5 19.5 l
f
%AI6_EndPatternLayer
) &
] E
%AI3_EndPattern
%AI3_BeginPattern: (Unnamed Pattern 2)
(Unnamed Pattern 2) 1 1 73 73 [
%AI3_Tile
(0 O 0 R 0.6 0.1412 0.9373 0.0275 k
 0.6 0.1412 0.9373 0.0275 K
) @
(
%AI6_BeginPatternLayer
0 J 0 j 1 w 4 M []0 d
1 73 m
1 1 L
73 1 L
73 73 L
1 73 L
f
%AI6_EndPatternLayer
) &
(0 O 0 R 0.4941 0.3529 0.9529 0.2 k
 0.4941 0.3529 0.9529 0.2 K
) @
(
%AI6_BeginPatternLayer
0 J 0 j 1 w 4 M []0 d
18.5449 73 m
18.5449 1 L
46.7832 1 L
46.7832 73 L
18.5449 73 L
f
%AI6_EndPatternLayer
) &
(0 O 0 R 0.1882 0.1098 0.9059 0.0157 k
 0.1882 0.1098 0.9059 0.0157 K
) @
(
%AI6_BeginPatternLayer
0 J 0 j 1 w 4 M []0 d
11.9512 1 m
11.9512 4.7129 9.2314 2.8813 9.2314 6.5938 c
9.2314 10.2334 4.25 10.2334 4.25 13.8735 c
4.25 17.4858 10.0313 17.4858 10.0313 21.0991 c
10.0313 24.832 10.208 24.832 10.208 28.5654 c
10.208 32.3071 5.5205 32.3071 5.5205 36.0469 c
5.5205 39.7021 11.8838 39.7021 11.8838 43.356 c
11.8838 47.0566 7.4609 47.0566 7.4609 50.7568 c
7.4609 54.4043 5.7959 54.4043 5.7959 58.0542 c
5.7959 61.7686 4.6631 61.7686 4.6631 65.4805 c
4.6631 69.1636 11.9512 69.3184 11.9512 73 C
27.9268 73 L
27.9268 69.3184 22.0635 69.1636 22.0635 65.4805 c
22.0635 61.7686 28.6631 61.7686 28.6631 58.0542 c
28.6631 54.4043 25.1553 54.4043 25.1553 50.7568 c
25.1553 47.0566 28.8145 47.0566 28.8145 43.356 c
28.8145 39.7021 22.1191 39.7021 22.1191 36.0469 c
22.1191 32.3071 26.3945 32.3071 26.3945 28.5654 c
26.3945 24.832 24.4248 24.832 24.4248 21.0991 c
24.4248 17.4858 20.3838 17.4858 20.3838 13.8735 c
20.3838 10.2334 24.6055 10.2334 24.6055 6.5938 c
24.6055 2.8813 27.9268 4.7129 27.9268 1 C
11.9512 1 L
f
%AI6_EndPatternLayer
) &
(0 O 0 R 0.9216 0.2157 0.9451 0.0745 k
 0.9216 0.2157 0.9451 0.0745 K
) @
(
%AI6_BeginPatternLayer
0 J 0 j 1 w 4 M []0 d
41.875 1 m
41.875 4.7134 42.3867 2.8818 42.3867 6.5938 c
42.3867 10.2334 40.5947 10.2334 40.5947 13.8735 c
40.5947 17.4858 41.5742 17.4858 41.5742 21.0991 c
41.5742 24.832 43.6484 24.832 43.6484 28.5659 c
43.6484 32.3076 39.1709 32.3076 39.1709 36.0469 c
39.1709 39.7026 39.7549 39.7026 39.7549 43.356 c
39.7549 47.0566 45.3896 47.0566 45.3896 50.7568 c
45.3896 54.4043 40.1055 54.4043 40.1055 58.0542 c
40.1055 61.7686 40.6289 61.7686 40.6289 65.4805 c
40.6289 69.1636 41.875 69.3184 41.875 73 C
59.0752 73 L
59.0752 69.4219 53.4805 70.1934 53.4805 66.6143 c
53.4805 62.9136 55.8945 62.9136 55.8945 59.2153 c
55.8945 55.502 61.0059 55.502 61.0059 51.7886 c
61.0059 48.1489 60.5635 48.1489 60.5635 44.5103 c
60.5635 40.897 59.9277 40.897 59.9277 37.2842 c
59.9277 33.5508 56.3662 33.5508 56.3662 29.8169 c
56.3662 26.0762 61.0908 26.0762 61.0908 22.3354 c
61.0908 18.6812 52.6025 18.6812 52.6025 15.0264 c
52.6025 11.3262 55.7461 11.3262 55.7461 7.6265 c
55.7461 3.978 59.0752 4.6484 59.0752 1 C
41.875 1 L
f
%AI6_EndPatternLayer
) &
] E
%AI3_EndPattern
%%EndSetup
0 A
0 To
1 0 0 1 448 243 0 Tp
TP
0 Tr
0 O
0 0 0 1 k
0 J 0 j 1 w 4 M []0 d
/_Helvetica 10 Tf
0 Ts
100 Tz
0 Tt
1 TA
0 0 5 TC
100 100 200 TW
0 0 0 Ti
0 Ta
0 Tq
0 0 Tl
0 Tc
0 Tw
(\r) TX 1 0 Tk
TO
0 R
0 0 0 1 K
206 485 m
206 299 l
B
393 487 m
393 301 l
B
0 g
206.0249 481.5249 m
207.3921 481.5249 208.5 482.6333 208.5 484 c
208.5 485.3667 207.3921 486.4751 206.0249 486.4751 c
204.6582 486.4751 203.5503 485.3667 203.5503 484 c
203.5503 482.6333 204.6582 481.5249 206.0249 481.5249 c
f
206.625 367.4375 m
207.9917 367.4375 209.1001 368.5449 209.1001 369.9121 c
209.1001 371.2793 207.9917 372.3867 206.625 372.3867 c
205.2583 372.3867 204.1499 371.2793 204.1499 369.9121 c
204.1499 368.5449 205.2583 367.4375 206.625 367.4375 c
f
0 To
1 0 0 1 212 480.5 0 Tp
TP
0 Tr
0 0 0 1 k
/_Symbol 12 Tf
(P) Tx 1 0 Tk
(\r) TX 
TO
0 To
1 0 0 1 212 366 0 Tp
TP
0 Tr
(P) Tx 1 0 Tk
(\r) TX 
TO
0 To
1 0 0 1 212 329 0 Tp
TP
0 Tr
(P) Tx 1 0 Tk
(\r) TX 
TO
0 To
1 0 0 1 211 426 0 Tp
TP
0 Tr
/_Helvetica 12 Tf
(r) Tx 1 0 Tk
/_Helvetica 10 Tf
-3 Ts
(-1) Tx 1 0 Tk
(\r) TX 
TO
0 To
1 0 0 1 312.5 393 0 Tp
TP
0 Tr
/_Helvetica 12 Tf
0 Ts
(r) Tx 1 0 Tk
/_Helvetica 10 Tf
-3 Ts
(n    ) Tx 1 0 Tk
/_Helvetica 12 Tf
0 Ts
(=) Tx 1 0 Tk
(\r) TX 
TO
0 To
1 0 0 1 396.1387 449.7642 0 Tp
TP
0 Tr
(r) Tx 1 0 Tk
/_Helvetica 10 Tf
-3 Ts
(n+1) Tx 1 0 Tk
(\r) TX 
TO
0 g
393.5 370 m
394.8672 370 395.9746 371.1074 395.9746 372.4746 c
395.9746 373.8418 394.8672 374.9492 393.5 374.9492 c
392.1328 374.9492 391.0254 373.8418 391.0254 372.4746 c
391.0254 371.1074 392.1328 370 393.5 370 c
f
393.5 412.5 m
394.8672 412.5 395.9746 413.6079 395.9746 414.9751 c
395.9746 416.3418 394.8672 417.4497 393.5 417.4497 c
392.1328 417.4497 391.0254 416.3418 391.0254 414.9751 c
391.0254 413.6079 392.1328 412.5 393.5 412.5 c
f
0 To
1 0 0 1 398.666 337.333 0 Tp
TP
0 Tr
0 0 0 1 k
/_Symbol 12 Tf
0 Ts
(P) Tx 1 0 Tk
/_Helvetica 8 Tf
-3 Ts
(a) Tx 1 0 Tk
(\r) TX 
TO
0 To
1 0 0 1 398.666 369.333 0 Tp
TP
0 Tr
/_Symbol 12 Tf
0 Ts
(P) Tx 1 0 Tk
/_Helvetica 8 Tf
-3 Ts
(b) Tx 1 0 Tk
(\r) TX 
TO
0 To
1 0 0 1 398.666 390.333 0 Tp
TP
0 Tr
/_Symbol 12 Tf
0 Ts
(P) Tx 1 0 Tk
/_Helvetica 8 Tf
-3 Ts
(c) Tx 1 0 Tk
(\r) TX 
TO
0 To
1 0 0 1 398.666 410.833 0 Tp
TP
0 Tr
/_Symbol 12 Tf
0 Ts
(P) Tx 1 0 Tk
(\r) TX 
TO
0 To
1 0 0 1 195 484 0 Tp
TP
0 Tr
/_Helvetica 10 Tf
-3 Ts
(0) Tx 1 0 Tk
(\r) TX 
TO
0 To
1 0 0 1 194 300.5 0 Tp
TP
0 Tr
(-1) Tx 1 0 Tk
(\r) TX 
TO
0 To
1 0 0 1 206.5 317.5 0 Tp
TP
0 Tr
(\r) TX 1 0 Tk
TO
0 To
1 0 0 1 383 486 0 Tp
TP
0 Tr
(0) Tx 1 0 Tk
(\r) TX 
TO
0 To
1 0 0 1 364.4971 298.5 0 Tp
TP
0 Tr
/_Symbol 10 Tf
0 Ts
(l) Tx 1 0 Tk
/_Helvetica 8 Tf
6 Ts
(2n+3) Tx 1 0 Tk
(\r) TX 
TO
0 To
1 0 0 1 195.5 368 0 Tp
TP
0 Tr
/_Symbol 10 Tf
0 Ts
(l) Tx 1 0 Tk
(\r) TX 
TO
0 To
1 0 0 1 360.4971 368.4648 0 Tp
TP
0 Tr
(-l) Tx 1 0 Tk
/_Helvetica 8 Tf
6 Ts
(2n+4) Tx 1 0 Tk
(\r) TX 
TO
0 To
1 0 0 1 364.4971 409.9648 0 Tp
TP
0 Tr
/_Symbol 10 Tf
0 Ts
(l) Tx 1 0 Tk
/_Helvetica 8 Tf
6 Ts
(2n+5) Tx 1 0 Tk
(\r) TX 
TO
0 To
1 0 0 1 408.667 409.6675 0 Tp
TP
0 Tr
-3 Ts
(d) Tx 1 0 Tk
(\r) TX 
TO
0 To
1 0 0 1 408 421.3335 0 Tp
TP
0 Tr
(\(n\)) Tx 1 0 Tk
(\r) TX 
TO
0 To
1 0 0 1 408 400.3335 0 Tp
TP
0 Tr
(\(n\)) Tx 1 0 Tk
(\r) TX 
TO
0 To
1 0 0 1 408 379.667 0 Tp
TP
0 Tr
(\(n\)) Tx 1 0 Tk
(\r) TX 
TO
0 To
1 0 0 1 408 348.334 0 Tp
TP
0 Tr
(\(n\)) Tx 1 0 Tk
(\r) TX 
TO
0 To
1 0 0 1 221.0005 491.667 0 Tp
TP
0 Tr
(\(-1\)) Tx 1 0 Tk
(\r) TX 
TO
0 To
1 0 0 1 220.667 377.667 0 Tp
TP
0 Tr
(\(-1\)) Tx 1 0 Tk
(\r) TX 
TO
0 To
1 0 0 1 221.3335 340.666 0 Tp
TP
0 Tr
(\(-1\)) Tx 1 0 Tk
(\r) TX 
TO
0 To
1 0 0 1 221.667 328 0 Tp
TP
0 Tr
(2) Tx 1 0 Tk
(\r) TX 
TO
0 To
1 0 0 1 221.3335 366 0 Tp
TP
0 Tr
(3) Tx 1 0 Tk
(\r) TX 
TO
0 To
1 0 0 1 221.667 481.0005 0 Tp
TP
0 Tr
(1) Tx 1 0 Tk
(\r) TX 
TO
%%PageTrailer
gsave annotatepage grestore showpage
%%Trailer
Adobe_Illustrator_AI3 /terminate get exec
Adobe_pattern_AI3 /terminate get exec
Adobe_typography_AI3 /terminate get exec
Adobe_customcolor /terminate get exec
Adobe_cshow /terminate get exec
Adobe_packedarray /terminate get exec
%%EOF

%%EndDocument
 @endspecial 515 2315 a Fu(Figure)27 b(8:)37 b(P)n(erio)r(dic-orbit)26
b(decomp)r(osistion)h(of)h(the)h(discon)n(tin)n(uit)n(y)e(set)h
(baseline)g Fs(B)i Fu(\(re-)515 2414 y(cursiv)n(e)c(form\).)630
4768 y @beginspecial 166 @llx 269 @lly 482 @urx 519 @ury
3160 @rwi @setspecial
%%BeginDocument: fig.ExampleII.1.eps
%!PS-Adobe-3.0 EPSF-3.0
%%Creator: Adobe Illustrator(TM) 7.0
%%For: (John H Lowenstein) ()
%%Title: (picA1.eps)
%%CreationDate: (7/12/01) (2:27 PM)
%%BoundingBox: 166 269 482 519
%%HiResBoundingBox: 166 269.8173 482 518.1257
%%DocumentProcessColors: Black
%%DocumentFonts: Courier
%%+ Symbol
%%DocumentSuppliedResources: procset Adobe_level2_AI5 1.2 0
%%+ procset Adobe_typography_AI5 1.0 1
%%+ procset Adobe_ColorImage_AI6 1.1 0
%%+ procset Adobe_Illustrator_AI5 1.2 0
%%+ procset Adobe_cshow 2.0 8
%AI5_FileFormat 3
%AI3_ColorUsage: Black&White
%AI3_IncludePlacedImages
%AI7_ImageSettings: 1
%%CMYKCustomColor: 1 0 0.55 0 (Aqua)
%%+ 1 0.5 0 0 (Blue)
%%+ 0.5 0.4 0.3 0 (Blue Gray)
%%+ 0.8 0.05 0 0 (Blue Sky)
%%+ 0.5 0.85 1 0 (Brown)
%%+ 1 0.9 0.1 0 (Dark Blue)
%%+ 1 0.55 1 0 (Forest Green)
%%+ 0.05 0.2 0.95 0 (Gold)
%%+ 0.75 0.05 1 0 (Grass Green)
%%+ 0 0.45 1 0 (Orange)
%%+ 0.15 1 1 0 (Red)
%%+ 0.45 0.9 0 0 (Violet)
%%AI6_ColorSeparationSet: 1 1 (AI6 Default Color Separation Set) 
%%+ Options: 1 16 0 1 0 1 1 1 0 1 1 1 1 18 0 0 0 0 0 0 0 0 -1 -1
%%+ PPD: 1 21 0 0 60 45 2 2 1 0 0 1 0 0 0 0 0 0 0 0 0 0 () 
%AI3_TemplateBox: 306 396 306 396
%AI3_TileBox: 30 35 582 761
%AI3_DocumentPreview: Macintosh_Pic
%AI5_ArtSize: 612 792
%AI5_RulerUnits: 2
%AI5_ArtFlags: 1 0 0 1 0 0 1 1 0
%AI5_TargetResolution: 800
%AI5_NumLayers: 1
%AI5_OpenToView: 98 540 1.5 634 437 18 0 1 3 40 0 0
%AI5_OpenViewLayers: 7
%%PageOrigin:30 35
%%AI3_PaperRect:-30 761 582 -31
%%AI3_Margin:30 -31 -30 31
%AI7_GridSettings: 72 8 72 8 1 0 0.52 0.52 0.52 0.76 0.76 0.76
%%EndComments
%%BeginProlog
%%BeginResource: procset Adobe_level2_AI5 1.2 0
%%Title: (Adobe Illustrator (R) Version 5.0 Level 2 Emulation)
%%Version: 1.2 0
%%CreationDate: (04/10/93) ()
%%Copyright: ((C) 1987-1996 Adobe Systems Incorporated All Rights Reserved)
userdict /Adobe_level2_AI5 25 dict dup begin
	put
	/packedarray where not
	{
		userdict begin
		/packedarray
		{
			array astore readonly
		} bind def
		/setpacking /pop load def
		/currentpacking false def
	 end
		0
	} if
	pop
	userdict /defaultpacking currentpacking put true setpacking
	/initialize
	{
		Adobe_level2_AI5 begin
	} bind def
	/terminate
	{
		currentdict Adobe_level2_AI5 eq
		{
		 end
		} if
	} bind def
	mark
	/setcustomcolor where not
	{
		/findcmykcustomcolor
		{
			0
			6 packedarray
		} bind def
		/findrgbcustomcolor
		{
			1
			5 packedarray
		} bind def
		/setcustomcolor
		{
			exch 
			aload pop 
			0 eq
			{
				pop
				4
				{
					4 index mul
					4 1 roll
				} repeat
				5 -1 roll pop
				setcmykcolor
			}
			{
				pop
				3
				{
					1 exch sub
					3 index mul 
					1 exch sub
					3 1 roll
				} repeat
				4 -1 roll pop
				setrgbcolor
			} ifelse
		}
		def
	} if
	
	/gt38? mark {version cvr cvx exec} stopped {cleartomark true} {38 gt exch pop} ifelse def
	userdict /deviceDPI 72 0 matrix defaultmatrix dtransform dup mul exch dup mul add sqrt put
	userdict /level2?
	systemdict /languagelevel known dup
	{
		pop systemdict /languagelevel get 2 ge
	} if
	put
/level2ScreenFreq
{
 begin
		60
		HalftoneType 1 eq
		{
			pop Frequency
		} if
		HalftoneType 2 eq
		{
			pop GrayFrequency
		} if
		HalftoneType 5 eq
		{
			pop Default level2ScreenFreq
		} if
 end
} bind def
userdict /currentScreenFreq  
	level2? {currenthalftone level2ScreenFreq} {currentscreen pop pop} ifelse put
level2? not
	{
		/setcmykcolor where not
		{
			/setcmykcolor
			{
				exch .11 mul add exch .59 mul add exch .3 mul add
				1 exch sub setgray
			} def
		} if
		/currentcmykcolor where not
		{
			/currentcmykcolor
			{
				0 0 0 1 currentgray sub
			} def
		} if
		/setoverprint where not
		{
			/setoverprint /pop load def
		} if
		/selectfont where not
		{
			/selectfont
			{
				exch findfont exch
				dup type /arraytype eq
				{
					makefont
				}
				{
					scalefont
				} ifelse
				setfont
			} bind def
		} if
		/cshow where not
		{
			/cshow
			{
				[
				0 0 5 -1 roll aload pop
				] cvx bind forall
			} bind def
		} if
	} if
	cleartomark
	/anyColor?
	{
		add add add 0 ne
	} bind def
	/testColor
	{
		gsave
		setcmykcolor currentcmykcolor
		grestore
	} bind def
	/testCMYKColorThrough
	{
		testColor anyColor?
	} bind def
	userdict /composite?
	level2?
	{
		gsave 1 1 1 1 setcmykcolor currentcmykcolor grestore
		add add add 4 eq
	}
	{
		1 0 0 0 testCMYKColorThrough
		0 1 0 0 testCMYKColorThrough
		0 0 1 0 testCMYKColorThrough
		0 0 0 1 testCMYKColorThrough
		and and and
	} ifelse
	put
	composite? not
	{
		userdict begin
		gsave
		/cyan? 1 0 0 0 testCMYKColorThrough def
		/magenta? 0 1 0 0 testCMYKColorThrough def
		/yellow? 0 0 1 0 testCMYKColorThrough def
		/black? 0 0 0 1 testCMYKColorThrough def
		grestore
		/isCMYKSep? cyan? magenta? yellow? black? or or or def
		/customColor? isCMYKSep? not def
	 end
	} if
 end defaultpacking setpacking
%%EndResource
%%BeginResource: procset Adobe_typography_AI5 1.0 1
%%Title: (Typography Operators)
%%Version: 1.0 1
%%CreationDate:(6/10/1996) ()
%%Copyright: ((C) 1987-1996 Adobe Systems Incorporated All Rights Reserved)
currentpacking true setpacking
userdict /Adobe_typography_AI5 68 dict dup begin
put
/initialize
{
 begin
 begin
	Adobe_typography_AI5 begin
	Adobe_typography_AI5
	{
		dup xcheck
		{
			bind
		} if
		pop pop
	} forall
 end
 end
 end
	Adobe_typography_AI5 begin
} def
/terminate
{
	currentdict Adobe_typography_AI5 eq
	{
	 end
	} if
} def
/modifyEncoding
{
	/_tempEncode exch ddef
	/_pntr 0 ddef
	{
		counttomark -1 roll
		dup type dup /marktype eq
		{
			pop pop exit
		}
		{
			/nametype eq
			{
				_tempEncode /_pntr dup load dup 3 1 roll 1 add ddef 3 -1 roll
				put
			}
			{
				/_pntr exch ddef
			} ifelse
		} ifelse
	} loop
	_tempEncode
} def
/havefont
{
	systemdict /languagelevel known
		{
		/Font resourcestatus dup
			{ exch pop exch pop }
		if
		}
		{
		systemdict /FontDirectory get 1 index known
			{ pop true }
			{
			systemdict /fileposition known
				{
				dup length 6 add exch
				Ss 6 250 getinterval
				cvs pop
				Ss exch 0 exch getinterval
				status
					{ pop pop pop pop true }
					{ false }
				ifelse
				}
				{
				pop false
				}
			ifelse
			}
		ifelse
		}
	ifelse
} def
/TE
{
	StandardEncoding 256 array copy modifyEncoding
	/_nativeEncoding exch def
} def
/subststring {
	exch 2 index exch search
	{
		exch pop
		exch dup () eq
		{
			pop exch concatstring
		}
		{
			3 -1 roll
			exch concatstring
			concatstring
		} ifelse
		exch pop true
	}
	{
		pop pop false
	} ifelse
} def
/concatstring {
	1 index length 1 index length
	1 index add
	string
	dup 0 5 index putinterval
	dup 2 index 4 index putinterval
	4 1 roll pop pop pop
} def
%
/TZ
{
	dup type /arraytype eq
	{
		/_wv exch def
	}
	{
		/_wv 0 def
	} ifelse
	/_useNativeEncoding exch def
	2 index havefont
	{
		3 index
		255 string
		cvs
		
		dup
		(_Symbol_)
		eq
		{
			pop
			2 index
			findfont
			
		}
		{
			dup length 1 sub
			1 exch
			getinterval
			
			cvn
			findfont
		} ifelse
	}
	{
		dup 1 eq
		{
			2 index 64 string cvs
			dup (-90pv-RKSJ-) (-83pv-RKSJ-) subststring
			{
				exch pop dup havefont
				{
					findfont false
				}
				{
					pop true
				} ifelse
			}
			{
				pop	dup
				(-90ms-RKSJ-) (-Ext-RKSJ-) subststring
				{
					exch pop dup havefont
					{
						findfont false
					}
					{
						pop true
					} ifelse
				}
				{
					pop pop true
				} ifelse
			} ifelse
			{
				/Ryumin-Light-83pv-RKSJ-H havefont
					{/Ryumin-Light-83pv-RKSJ-H}
					{/Courier}
					ifelse
					findfont
					[1 0 0.5 1 0 0] makefont
			} if
		}
		{
			/Courier findfont
		} ifelse
	} ifelse
	_wv type /arraytype eq
	{
		_wv makeblendedfont
	} if
	dup length 10 add dict
 begin
	mark exch
	{
		1 index /FID ne
		{
			def
		} if
		cleartomark mark
	} forall
	pop
	/FontScript exch def
	/FontDirection exch def
	/FontRequest exch def
	/FontName exch def
	counttomark 0 eq
	{
		1 _useNativeEncoding eq
		{
			/Encoding _nativeEncoding def
		} if
		cleartomark
	}
	{
		/Encoding load 256 array copy
		modifyEncoding /Encoding exch def
	} ifelse
	FontName currentdict
 end
	definefont pop
} def
/tr
{
	_ax _ay 3 2 roll
} def
/trj
{
	_cx _cy _sp _ax _ay 6 5 roll
} def
/a0
{
	/Tx
	{
		dup
		currentpoint 3 2 roll
		tr _psf
		newpath moveto
		tr _ctm _pss
	} ddef
	/Tj
	{
		dup
		currentpoint 3 2 roll
		trj _pjsf
		newpath moveto
		trj _ctm _pjss
	} ddef
} def
/a1
{
W B
} def
/e0
{
	/Tx
	{
		tr _psf
	} ddef
	/Tj
	{
		trj _pjsf
	} ddef
} def
/e1
{
W F 
} def
/i0
{
	/Tx
	{
		tr sp
	} ddef
	/Tj
	{
		trj jsp
	} ddef
} def
/i1
{
	W N
} def
/o0
{
	/Tx
	{
		tr sw rmoveto
	} ddef
	/Tj
	{
		trj swj rmoveto
	} ddef
} def
/r0
{
	/Tx
	{
		tr _ctm _pss
	} ddef
	/Tj
	{
		trj _ctm _pjss
	} ddef
} def
/r1
{
W S
} def
/To
{
	pop _ctm currentmatrix pop
} def
/TO
{
	iTe _ctm setmatrix newpath
} def
/Tp
{
	pop _tm astore pop _ctm setmatrix
	_tDict begin
	/W
	{
	} def
	/h
	{
	} def
} def
/TP
{
 end
	iTm 0 0 moveto
} def
/Tr
{
	_render 3 le
	{
		currentpoint newpath moveto
	} if
	dup 8 eq
	{
		pop 0
	}
	{
		dup 9 eq
		{
			pop 1
		} if
	} ifelse
	dup /_render exch ddef
	_renderStart exch get load exec
} def
/iTm
{
	_ctm setmatrix _tm concat
	_shift aload pop _lineorientation 1 eq { exch } if translate
	_scale aload pop _lineorientation 1 eq _yokoorientation 1 eq or { exch } if scale
} def
/Tm
{
	_tm astore pop iTm 0 0 moveto
} def
/Td
{
	_mtx translate _tm _tm concatmatrix pop iTm 0 0 moveto
} def
/iTe
{
	_render -1 eq
	{
	}
	{
		_renderEnd _render get dup null ne
		{
			load exec
		}
		{
			pop
		} ifelse
	} ifelse
	/_render -1 ddef
} def
/Ta
{
	pop
} def
/Tf
{
	1 index type /nametype eq
	{
		dup 0.75 mul 1 index 0.25 mul neg
	} if
	/_fontDescent exch ddef
	/_fontAscent exch ddef
	/_fontSize exch ddef
	/_fontRotateAdjust _fontAscent _fontDescent add 2 div neg ddef
	/_fontHeight _fontSize ddef
	findfont _fontSize scalefont setfont
} def
/Tl
{
	pop neg 0 exch
	_leading astore pop
} def
/Tt
{
	pop
} def
/TW
{
	3 npop
} def
/Tw
{
	/_cx exch ddef
} def
/TC
{
	3 npop
} def
/Tc
{
	/_ax exch ddef
} def
/Ts
{
	0 exch
	_shift astore pop
	currentpoint
	iTm
	moveto
} def
/Ti
{
	3 npop
} def
/Tz
{
	count 1 eq { 100 } if
	100 div exch 100 div exch
	_scale astore pop
	iTm
} def
/TA
{
	pop
} def
/Tq
{
	pop
} def
/Tg
{
	pop
} def
/TG
{
	pop
} def
/Tv
{
	/_lineorientation exch ddef
} def
/TV
{
	/_charorientation exch ddef
} def
/Ty
{
	dup /_yokoorientation exch ddef 1 sub neg Tv
} def
/TY
{
	pop
} def
/T~
{
	Tx
} def
/Th
{
	pop pop pop pop pop
} def
/TX
{
	pop
} def
/Tk
{
	_fontSize mul 1000 div
	_lineorientation 0 eq { neg 0 } { 0 exch } ifelse
	rmoveto
	pop
} def
/TK
{
	2 npop
} def
/T*
{
	_leading aload pop
	_lineorientation 0 ne { exch } if
	Td
} def
/T*-
{
	_leading aload pop
	_lineorientation 0 ne { exch } if
	exch neg exch neg
	Td
} def
/T-
{
	_ax neg 0 rmoveto
	_lineorientation 1 eq _charorientation 0 eq and { 1 TV _hyphen Tx 0 TV } { _hyphen Tx } ifelse
} def
/T+
{
} def
/TR
{
	_ctm currentmatrix pop
	_tm astore pop
	iTm 0 0 moveto
} def
/TS
{
	currentfont 3 1 roll
	/_Symbol_ findfont _fontSize scalefont setfont
	
	0 eq
	{
		Tx
	}
	{
		Tj
	} ifelse
	setfont
} def
/Xb
{
	pop pop
} def
/Tb /Xb load def
/Xe
{
	pop pop pop pop
} def
/Te /Xe load def
/XB
{
} def
/TB /XB load def
currentdict readonly pop
end
setpacking
%
/X^
{
	currentfont 5 1 roll
	dup havefont
		{
		findfont _fontSize scalefont setfont
		}
		{
		pop
		exch
		} ifelse
	2 index 0 eq
	{
		Tx
	}
	{
		Tj
	} ifelse
	pop	pop
	setfont
} def
/T^	/X^	load def
%%EndResource
%%BeginProcSet: Adobe_ColorImage_AI6 1.1 0
userdict /Adobe_ColorImage_AI6 known not
{
	userdict /Adobe_ColorImage_AI6 24 dict put 
} if
userdict /Adobe_ColorImage_AI6 get begin
/initialize
{ 
	Adobe_ColorImage_AI6 begin
	Adobe_ColorImage_AI6
	{
		dup type /arraytype eq
		{
			dup xcheck
			{
				bind
			} if
		} if
		pop pop
	} forall
} def
/terminate { end } def
currentdict /Adobe_ColorImage_AI6_Vars known not
{
	/Adobe_ColorImage_AI6_Vars 15 dict def
} if
Adobe_ColorImage_AI6_Vars begin
	/channelcount 0 def
	/sourcecount 0 def
	/sourcearray 4 array def
	/plateindex -1 def
	/XIMask 0 def
	/XIBinary 0 def
	/XIChannelCount 0 def
	/XIBitsPerPixel 0 def
	/XIImageHeight 0 def
	/XIImageWidth 0 def
	/XIImageMatrix null def
	/XIBuffer null def
	/XIDataProc null def
	/XIVersion 6 def
end
/WalkRGBString null def
/WalkCMYKString null def
/StuffRGBIntoGrayString null def
/RGBToGrayImageProc null def
/StuffCMYKIntoGrayString null def
/CMYKToGrayImageProc null def
/ColorImageCompositeEmulator null def
/SeparateCMYKImageProc null def
/FourEqual null def
/TestPlateIndex null def
currentdict /_colorimage known not
{
	/colorimage where
	{
		/colorimage get /_colorimage exch def
	}
	{
		/_colorimage null def
	} ifelse
} if
/_currenttransfer systemdict /currenttransfer get def
/colorimage null def
/XI null def
/WalkRGBString
{
	0 3 index
	dup length 1 sub 0 3 3 -1 roll
	{
		3 getinterval { } forall
		5 index exec
		3 index
	} for
	
	 5 { pop } repeat
} def
/WalkCMYKString
{
	0 3 index
	dup length 1 sub 0 4 3 -1 roll
	{
		4 getinterval { } forall
		
		6 index exec
		
		3 index
		
	} for
	
	5 { pop } repeat
	
} def
/StuffRGBIntoGrayString
{
	.11 mul exch
	
	.59 mul add exch
	
	.3 mul add
	
	cvi 3 copy put
	
	pop 1 add
} def
/RGBToGrayImageProc
{	
	Adobe_ColorImage_AI6_Vars begin 
		sourcearray 0 get exec
		dup length 3 idiv string
		dup 3 1 roll 
		
		/StuffRGBIntoGrayString load exch
		WalkRGBString
 end
} def
/StuffCMYKIntoGrayString
{
	exch .11 mul add
	
	exch .59 mul add
	
	exch .3 mul add
	
	dup 255 gt { pop 255 } if
	
	255 exch sub cvi 3 copy put
	
	pop 1 add
} def
/CMYKToGrayImageProc
{	
	Adobe_ColorImage_AI6_Vars begin
		sourcearray 0 get exec
		dup length 4 idiv string
		dup 3 1 roll 
		
		/StuffCMYKIntoGrayString load exch
		WalkCMYKString
 end
} def
/ColorImageCompositeEmulator
{
	pop true eq
	{
		Adobe_ColorImage_AI6_Vars /sourcecount get 5 add { pop } repeat
	}
	{
		Adobe_ColorImage_AI6_Vars /channelcount get 1 ne
		{
			Adobe_ColorImage_AI6_Vars begin
				sourcearray 0 3 -1 roll put
			
				channelcount 3 eq 
				{ 
					/RGBToGrayImageProc 
				}
				{ 
					/CMYKToGrayImageProc
				} ifelse
				load
		 end
		} if
		image
	} ifelse
} def
/SeparateCMYKImageProc
{	
	Adobe_ColorImage_AI6_Vars begin
		sourcecount 0 ne
		{
			sourcearray plateindex get exec
		}
		{			
			sourcearray 0 get exec
			
			dup length 4 idiv string
			
			0 2 index
			
			plateindex 4 2 index length 1 sub
			{
				get 255 exch sub
				
				3 copy put pop 1 add
				
				2 index
			} for
			pop pop exch pop
		} ifelse
 end
} def
	
/FourEqual
{
	4 index ne
	{
		pop pop pop false
	}
	{
		4 index ne
		{
			pop pop false
		}
		{
			4 index ne
			{
				pop false
			}
			{
				4 index eq
			} ifelse
		} ifelse
	} ifelse
} def
/TestPlateIndex
{
	Adobe_ColorImage_AI6_Vars begin
		/plateindex -1 def
		/setcmykcolor where
		{
			pop
			gsave
			1 0 0 0 setcmykcolor systemdict /currentgray get exec 1 exch sub
			0 1 0 0 setcmykcolor systemdict /currentgray get exec 1 exch sub
			0 0 1 0 setcmykcolor systemdict /currentgray get exec 1 exch sub
			0 0 0 1 setcmykcolor systemdict /currentgray get exec 1 exch sub
			grestore
			1 0 0 0 FourEqual 
			{ 
				/plateindex 0 def
			}
			{
				0 1 0 0 FourEqual
				{ 
					/plateindex 1 def
				}
				{
					0 0 1 0 FourEqual
					{
						/plateindex 2 def
					}
					{
						0 0 0 1 FourEqual
						{ 
							/plateindex 3 def
						}
						{
							0 0 0 0 FourEqual
							{
								/plateindex 5 def
							} if
						} ifelse
					} ifelse
				} ifelse
			} ifelse
			pop pop pop pop
		} if
		plateindex
 end
} def
/colorimage
{
	Adobe_ColorImage_AI6_Vars begin
		/channelcount 1 index def
		/sourcecount 2 index 1 eq { channelcount 1 sub } { 0 } ifelse def
		4 sourcecount add index dup 
		8 eq exch 1 eq or not
 end
	
	{
		/_colorimage load null ne
		{
			_colorimage
		}
		{
			Adobe_ColorImage_AI6_Vars /sourcecount get
			7 add { pop } repeat
		} ifelse
	}
	{
		dup 3 eq
		TestPlateIndex
		dup -1 eq exch 5 eq or or
		{
			/_colorimage load null eq
			{
				ColorImageCompositeEmulator
			}
			{
				dup 1 eq
				{
					pop pop image
				}
				{
					Adobe_ColorImage_AI6_Vars /plateindex get 5 eq
					{
						gsave
						
						0 _currenttransfer exec
						1 _currenttransfer exec
						eq
						{ 0 _currenttransfer exec 0.5 lt }
						{ 0 _currenttransfer exec 1 _currenttransfer exec gt } ifelse
						
						{ { pop 0 } } { { pop 1 } } ifelse
						systemdict /settransfer get exec
					} if
					
					_colorimage
					
					Adobe_ColorImage_AI6_Vars /plateindex get 5 eq
					{
						grestore
					} if
				} ifelse
			} ifelse
		}
		{
			dup 1 eq
			{
				pop pop
				image
			}
			{
				pop pop
				Adobe_ColorImage_AI6_Vars begin
					sourcecount -1 0
					{			
						exch sourcearray 3 1 roll put
					} for
					/SeparateCMYKImageProc load
			 end
				systemdict /image get exec
			} ifelse
		} ifelse
	} ifelse
} def
/XG
{
	pop pop
} def
/XF
{
	13 {pop} repeat
} def
/Xh
{
	Adobe_ColorImage_AI6_Vars begin
		gsave
		/XIMask exch 0 ne def
		/XIImageHeight exch def
		/XIImageWidth exch def
		/XIImageMatrix exch def
		0 0 moveto
		XIImageMatrix concat
		XIImageWidth XIImageHeight scale
		
		XIMask
		{
			/_lp /null ddef
			_fc
			/_lp /imagemask ddef
		}
		if
		/XIVersion 7 def
 end
} def
/XH
{
	Adobe_ColorImage_AI6_Vars begin
		/XIVersion 6 def
		grestore
 end
} def
/XI
{
	Adobe_ColorImage_AI6_Vars begin
		gsave
		/XIMask exch 0 ne def
		/XIBinary exch 0 ne def
		pop
		pop
		/XIChannelCount exch def
		/XIBitsPerPixel exch def
		/XIImageHeight exch def
		/XIImageWidth exch def
		pop pop pop pop
		/XIImageMatrix exch def
		XIBitsPerPixel 1 eq
		{
			XIImageWidth 8 div ceiling cvi
		}
		{
			XIImageWidth XIChannelCount mul
		} ifelse
		/XIBuffer exch string def
		XIBinary
		{
			/XIDataProc { currentfile XIBuffer readstring pop } def
			XIVersion 6 le
			{
				currentfile 128 string readline pop pop
			}
			if
		}
		{
			/XIDataProc { currentfile XIBuffer readhexstring pop } def
		} ifelse
		
		XIVersion 6 le
		{
			0 0 moveto
			XIImageMatrix concat
			XIImageWidth XIImageHeight scale
			XIMask
			{
				/_lp /null ddef
				_fc
				/_lp /imagemask ddef
			} if
		} if
		
		XIMask
		{
			XIImageWidth XIImageHeight
			false
			[ XIImageWidth 0 0 XIImageHeight neg 0 0 ]
			/XIDataProc load
			imagemask
		}
		{
			XIImageWidth XIImageHeight
			XIBitsPerPixel
			[ XIImageWidth 0 0 XIImageHeight neg 0 0 ]
			/XIDataProc load
			
			XIChannelCount 1 eq
			{
				gsave
				0 setgray
				image
				grestore
			}
			{
				false
				XIChannelCount
				colorimage
			} ifelse
		} ifelse
		grestore
 end
} def
end
%%EndProcSet
%%BeginResource: procset Adobe_Illustrator_AI5 1.2 0
%%Title: (Adobe Illustrator (R) Version 7.0 Full Prolog)
%%Version: 1.2 0
%%CreationDate: (3/7/1994) ()
%%Copyright: ((C) 1987-1996 Adobe Systems Incorporated All Rights Reserved)
currentpacking true setpacking
userdict /Adobe_Illustrator_AI5_vars 107 dict dup begin
put
/_eo false def
/_lp /none def
/_pf
{
} def
/_ps
{
} def
/_psf
{
} def
/_pss
{
} def
/_pjsf
{
} def
/_pjss
{
} def
/_pola 0 def
/_doClip 0 def
/cf currentflat def
/_lineorientation 0 def
/_charorientation 0 def
/_yokoorientation 0 def
/_tm matrix def
/_renderStart
[
/e0 /r0 /a0 /o0 /e1 /r1 /a1 /i0
] def
/_renderEnd
[
null null null null /i1 /i1 /i1 /i1
] def
/_render -1 def
/_shift [0 0] def
/_ax 0 def
/_ay 0 def
/_cx 0 def
/_cy 0 def
/_leading
[
0 0
] def
/_ctm matrix def
/_mtx matrix def
/_sp 16#020 def
/_hyphen (-) def
/_fontSize 0 def
/_fontAscent 0 def
/_fontDescent 0 def
/_fontHeight 0 def
/_fontRotateAdjust 0 def
/Ss 256 string def
Ss 0 (fonts/) putinterval
/_cnt 0 def
/_scale [1 1] def
/_nativeEncoding 0 def
/_useNativeEncoding 0 def
/_tempEncode 0 def
/_pntr 0 def
/_tDict 2 dict def
/_hfname 100 string def
/_hffound false def
/Tx
{
} def
/Tj
{
} def
/CRender
{
} def
/_AI3_savepage
{
} def
/_gf null def
/_cf 4 array def
/_rgbf 3 array def
/_if null def
/_of false def
/_fc
{
} def
/_gs null def
/_cs 4 array def
/_rgbs 3 array def
/_is null def
/_os false def
/_sc
{
} def
/_pd 1 dict def
/_ed 15 dict def
/_pm matrix def
/_fm null def
/_fd null def
/_fdd null def
/_sm null def
/_sd null def
/_sdd null def
/_i null def
/_lobyte 0 def
/_hibyte 0 def
/_cproc null def
/_cscript 0 def
/_hvax 0 def
/_hvay 0 def
/_hvwb 0 def
/_hvcx 0 def
/_hvcy 0 def
/_bitfont null def
/_bitlobyte 0 def
/_bithibyte 0 def
/_bitkey null def
/_bitdata null def
/_bitindex 0 def
/discardSave null def
/buffer 256 string def
/beginString null def
/endString null def
/endStringLength null def
/layerCnt 1 def
/layerCount 1 def
/perCent (%) 0 get def
/perCentSeen? false def
/newBuff null def
/newBuffButFirst null def
/newBuffLast null def
/clipForward? false def
end
userdict /Adobe_Illustrator_AI5 known not {
	userdict /Adobe_Illustrator_AI5 95 dict put
} if
userdict /Adobe_Illustrator_AI5 get begin
/initialize
{
	Adobe_Illustrator_AI5 dup begin
	Adobe_Illustrator_AI5_vars begin
	discardDict
	{
		bind pop pop
	} forall
	dup /nc get begin
	{
		dup xcheck 1 index type /operatortype ne and
		{
			bind
		} if
		pop pop
	} forall
 end
	newpath
} def
/terminate
{
 end
 end
} def
/_
null def
/ddef
{
	Adobe_Illustrator_AI5_vars 3 1 roll put
} def
/xput
{
	dup load dup length exch maxlength eq
	{
		dup dup load dup
		length 2 mul dict copy def
	} if
	load begin
	def
 end
} def
/npop
{
	{
		pop
	} repeat
} def
/hswj
{
	dup stringwidth 3 2 roll
	{
		_hvwb eq { exch _hvcx add exch _hvcy add } if
		exch _hvax add exch _hvay add
	} cforall
} def
/vswj
{
	0 0 3 -1 roll
	{
		dup 255 le
		_charorientation 1 eq
		and
		{
			dup cstring stringwidth 5 2 roll
			_hvwb eq { exch _hvcy sub exch _hvcx sub } if
			exch _hvay sub exch _hvax sub
			4 -1 roll sub exch
			3 -1 roll sub exch
		}
		{
			_hvwb eq { exch _hvcy sub exch _hvcx sub } if
			exch _hvay sub exch _hvax sub
			_fontHeight sub
		} ifelse
	} cforall
} def
/swj
{
	6 1 roll
	/_hvay exch ddef
	/_hvax exch ddef
	/_hvwb exch ddef
	/_hvcy exch ddef
	/_hvcx exch ddef
	_lineorientation 0 eq { hswj } { vswj } ifelse
} def
/sw
{
	0 0 0 6 3 roll swj
} def
/vjss
{
	4 1 roll
	{
		dup cstring
		dup length 1 eq
		_charorientation 1 eq
		and
		{
			-90 rotate
			currentpoint
			_fontRotateAdjust add
			moveto
			gsave
			false charpath currentpoint
			5 index setmatrix stroke
			grestore
			_fontRotateAdjust sub
			moveto
			_sp eq
			{
				5 index 5 index rmoveto
			} if
			2 copy rmoveto
			90 rotate
		}
		{
			currentpoint
			_fontHeight sub
			5 index sub
			3 index _sp eq
			{
				9 index sub
			} if
	
			currentpoint
			exch 4 index stringwidth pop 2 div sub
			exch _fontAscent sub
			moveto
	
			gsave
			2 index false charpath
			6 index setmatrix stroke
			grestore
	
			moveto pop pop
		} ifelse
	} cforall
	6 npop
} def
/hjss
{
	4 1 roll
	{
		dup cstring
		gsave
		false charpath currentpoint
		5 index setmatrix stroke
		grestore
		moveto
		_sp eq
		{
			5 index 5 index rmoveto
		} if
		2 copy rmoveto
	} cforall
	6 npop
} def
/jss
{
	_lineorientation 0 eq { hjss } { vjss } ifelse
} def
/ss
{
	0 0 0 7 3 roll jss
} def
/vjsp
{
	4 1 roll
	{
		dup cstring
		dup length 1 eq
		_charorientation 1 eq
		and
		{
			-90 rotate
			currentpoint
			_fontRotateAdjust add
			moveto
			false charpath
            currentpoint
			_fontRotateAdjust sub
			moveto
			_sp eq
			{
				5 index 5 index rmoveto
			} if
			2 copy rmoveto
			90 rotate
		}
		{
			currentpoint
			_fontHeight sub
			5 index sub
			3 index _sp eq
			{
				9 index sub
			} if
	
			currentpoint
			exch 4 index stringwidth pop 2 div sub
			exch _fontAscent sub
			moveto
	
			2 index false charpath
	
			moveto pop pop
		} ifelse
	} cforall
	6 npop
} def
/hjsp
{
    4 1 roll
    {
        dup cstring
        false charpath
        _sp eq
        {
            5 index 5 index rmoveto
        } if
        2 copy rmoveto
    } cforall
    6 npop
} def
/jsp
{
	matrix currentmatrix
    _lineorientation 0 eq {hjsp} {vjsp} ifelse
} def
/sp
{
    matrix currentmatrix
    0 0 0 7 3 roll
    _lineorientation 0 eq {hjsp} {vjsp} ifelse
} def
/pl
{
	transform
	0.25 sub round 0.25 add exch
	0.25 sub round 0.25 add exch
	itransform
} def
/setstrokeadjust where
{
	pop true setstrokeadjust
	/c
	{
		curveto
	} def
	/C
	/c load def
	/v
	{
		currentpoint 6 2 roll curveto
	} def
	/V
	/v load def
	/y
	{
		2 copy curveto
	} def
	/Y
	/y load def
	/l
	{
		lineto
	} def
	/L
	/l load def
	/m
	{
		moveto
	} def
}
{
	/c
	{
		pl curveto
	} def
	/C
	/c load def
	/v
	{
		currentpoint 6 2 roll pl curveto
	} def
	/V
	/v load def
	/y
	{
		pl 2 copy curveto
	} def
	/Y
	/y load def
	/l
	{
		pl lineto
	} def
	/L
	/l load def
	/m
	{
		pl moveto
	} def
} ifelse
/d
{
	setdash
} def
/cf
{
} def
/i
{
	dup 0 eq
	{
		pop cf
	} if
	setflat
} def
/j
{
	setlinejoin
} def
/J
{
	setlinecap
} def
/M
{
	setmiterlimit
} def
/w
{
	setlinewidth
} def
/XR
{
	0 ne
	/_eo exch ddef
} def
/H
{
} def
/h
{
	closepath
} def
/N
{
	_pola 0 eq
	{
		_doClip 1 eq
		{
			_eo {eoclip} {clip} ifelse /_doClip 0 ddef
		} if
		newpath
	}
	{
		/CRender
		{
			N
		} ddef
	} ifelse
} def
/n
{
	N
} def
/F
{
	_pola 0 eq
	{
		_doClip 1 eq
		{
			gsave _pf grestore _eo {eoclip} {clip} ifelse newpath /_lp /none ddef _fc
			/_doClip 0 ddef
		}
		{
			_pf
		} ifelse
	}
	{
		/CRender
		{
			F
		} ddef
	} ifelse
} def
/f
{
	closepath
	F
} def
/S
{
	_pola 0 eq
	{
		_doClip 1 eq
		{
			gsave _ps grestore _eo {eoclip} {clip} ifelse newpath /_lp /none ddef _sc
			/_doClip 0 ddef
		}
		{
			_ps
		} ifelse
	}
	{
		/CRender
		{
			S
		} ddef
	} ifelse
} def
/s
{
	closepath
	S
} def
/B
{
	_pola 0 eq
	{
		_doClip 1 eq
		gsave F grestore
		{
			gsave S grestore _eo {eoclip} {clip} ifelse newpath /_lp /none ddef _sc
			/_doClip 0 ddef
		}
		{
			S
		} ifelse
	}
	{
		/CRender
		{
			B
		} ddef
	} ifelse
} def
/b
{
	closepath
	B
} def
/W
{
	/_doClip 1 ddef
} def
/*
{
	count 0 ne
	{
		dup type /stringtype eq
		{
			pop
		} if
	} if
	newpath
} def
/u
{
} def
/U
{
} def
/q
{
	_pola 0 eq
	{
		gsave
	} if
} def
/Q
{
	_pola 0 eq
	{
		grestore
	} if
} def
/*u
{
	_pola 1 add /_pola exch ddef
} def
/*U
{
	_pola 1 sub /_pola exch ddef
	_pola 0 eq
	{
		CRender
	} if
} def
/D
{
	pop
} def
/*w
{
} def
/*W
{
} def
/`
{
	/_i save ddef
	clipForward?
	{
		nulldevice
	} if
	6 1 roll 4 npop
	concat pop
	userdict begin
	/showpage
	{
	} def
	0 setgray
	0 setlinecap
	1 setlinewidth
	0 setlinejoin
	10 setmiterlimit
	[] 0 setdash
	/setstrokeadjust where {pop false setstrokeadjust} if
	newpath
	0 setgray
	false setoverprint
} def
/~
{
 end
	_i restore
} def
/O
{
	0 ne
	/_of exch ddef
	/_lp /none ddef
} def
/R
{
	0 ne
	/_os exch ddef
	/_lp /none ddef
} def
/g
{
	/_gf exch ddef
	/_fc
	{
		_lp /fill ne
		{
			_of setoverprint
			_gf setgray
			/_lp /fill ddef
		} if
	} ddef
	/_pf
	{
		_fc
		_eo {eofill} {fill} ifelse
	} ddef
	/_psf
	{
		_fc
		hvashow
	} ddef
	/_pjsf
	{
		_fc
		hvawidthshow
	} ddef
	/_lp /none ddef
} def
/G
{
	/_gs exch ddef
	/_sc
	{
		_lp /stroke ne
		{
			_os setoverprint
			_gs setgray
			/_lp /stroke ddef
		} if
	} ddef
	/_ps
	{
		_sc
		stroke
	} ddef
	/_pss
	{
		_sc
		ss
	} ddef
	/_pjss
	{
		_sc
		jss
	} ddef
	/_lp /none ddef
} def
/k
{
	_cf astore pop
	/_fc
	{
		_lp /fill ne
		{
			_of setoverprint
			_cf aload pop setcmykcolor
			/_lp /fill ddef
		} if
	} ddef
	/_pf
	{
		_fc
		_eo {eofill} {fill} ifelse
	} ddef
	/_psf
	{
		_fc
		hvashow
	} ddef
	/_pjsf
	{
		_fc
		hvawidthshow
	} ddef
	/_lp /none ddef
} def
/K
{
	_cs astore pop
	/_sc
	{
		_lp /stroke ne
		{
			_os setoverprint
			_cs aload pop setcmykcolor
			/_lp /stroke ddef
		} if
	} ddef
	/_ps
	{
		_sc
		stroke
	} ddef
	/_pss
	{
		_sc
		ss
	} ddef
	/_pjss
	{
		_sc
		jss
	} ddef
	/_lp /none ddef
} def
/Xa
{
	_rgbf astore pop
	/_fc
	{
		_lp /fill ne
		{
			_of setoverprint
			_rgbf aload pop setrgbcolor
			/_lp /fill ddef
		} if
	} ddef
	/_pf
	{
		_fc
		_eo {eofill} {fill} ifelse
	} ddef
	/_psf
	{
		_fc
		hvashow
	} ddef
	/_pjsf
	{
		_fc
		hvawidthshow
	} ddef
	/_lp /none ddef
} def
/XA
{
	_rgbs astore pop
	/_sc
	{
		_lp /stroke ne
		{
			_os setoverprint
			_rgbs aload pop setrgbcolor
			/_lp /stroke ddef
		} if
	} ddef
	/_ps
	{
		_sc
		stroke
	} ddef
	/_pss
	{
		_sc
		ss
	} ddef
	/_pjss
	{
		_sc
		jss
	} ddef
	/_lp /none ddef
} def
/_rgbtocmyk
{
3
	{
	1 exch sub 3 1 roll
	} repeat
3 copy 1 4 1 roll
3
	{
	3 index 2 copy gt
		{
		exch
		} if
	pop 4 1 roll
	} repeat
pop pop pop
4 1 roll
3
	{
	3 index sub
	3 1 roll
	} repeat
4 -1 roll
} def
/Xx
{
	exch
	/_gf exch ddef
	0 eq
	{
		findcmykcustomcolor
	}
	{
		/findrgbcustomcolor where not {
			4 1 roll _rgbtocmyk
			5 -1 roll
			findcmykcustomcolor
		}
		{
			pop
			findrgbcustomcolor
		} ifelse
	} ifelse
	/_if exch ddef
	/_fc
	{
		_lp /fill ne
		{
			_of setoverprint
			_if _gf 1 exch sub setcustomcolor
			/_lp /fill ddef
		} if
	} ddef
	/_pf
	{
		_fc
		_eo {eofill} {fill} ifelse
	} ddef
	/_psf
	{
		_fc
		hvashow
	} ddef
	/_pjsf
	{
		_fc
		hvawidthshow
	} ddef
	/_lp /none ddef
} def
/XX
{
	exch
	/_gs exch ddef
	0 eq
	{
		findcmykcustomcolor
	}
	{
		/findrgbcustomcolor where not {
			4 1 roll _rgbtocmyk
			5 -1 roll
			findcmykcustomcolor
		}
		{
			pop
			findrgbcustomcolor
		} ifelse
	} ifelse
	/_is exch ddef
	/_sc
	{
		_lp /stroke ne
		{
			_os setoverprint
			_is _gs 1 exch sub setcustomcolor
			/_lp /stroke ddef
		} if
	} ddef
	/_ps
	{
		_sc
		stroke
	} ddef
	/_pss
	{
		_sc
		ss
	} ddef
	/_pjss
	{
		_sc
		jss
	} ddef
	/_lp /none ddef
} def
/x
{
	/_gf exch ddef
	findcmykcustomcolor
	/_if exch ddef
	/_fc
	{
		_lp /fill ne
		{
			_of setoverprint
			_if _gf 1 exch sub setcustomcolor
			/_lp /fill ddef
		} if
	} ddef
	/_pf
	{
		_fc
		_eo {eofill} {fill} ifelse
	} ddef
	/_psf
	{
		_fc
		hvashow
	} ddef
	/_pjsf
	{
		_fc
		hvawidthshow
	} ddef
	/_lp /none ddef
} def
/X
{
	/_gs exch ddef
	findcmykcustomcolor
	/_is exch ddef
	/_sc
	{
		_lp /stroke ne
		{
			_os setoverprint
			_is _gs 1 exch sub setcustomcolor
			/_lp /stroke ddef
		} if
	} ddef
	/_ps
	{
		_sc
		stroke
	} ddef
	/_pss
	{
		_sc
		ss
	} ddef
	/_pjss
	{
		_sc
		jss
	} ddef
	/_lp /none ddef
} def
/A
{
	pop
} def
/annotatepage
{
userdict /annotatepage 2 copy known {get exec} {pop pop} ifelse
} def
/XT {
	pop pop
} def
/discard
{
	save /discardSave exch store
	discardDict begin
	/endString exch store
	gt38?
	{
		2 add
	} if
	load
	stopped
	pop
 end
	discardSave restore
} bind def
userdict /discardDict 7 dict dup begin
put
/pre38Initialize
{
	/endStringLength endString length store
	/newBuff buffer 0 endStringLength getinterval store
	/newBuffButFirst newBuff 1 endStringLength 1 sub getinterval store
	/newBuffLast newBuff endStringLength 1 sub 1 getinterval store
} def
/shiftBuffer
{
	newBuff 0 newBuffButFirst putinterval
	newBuffLast 0
	currentfile read not
	{
	stop
	} if
	put
} def
0
{
	pre38Initialize
	mark
	currentfile newBuff readstring exch pop
	{
		{
			newBuff endString eq
			{
				cleartomark stop
			} if
			shiftBuffer
		} loop
	}
	{
	stop
	} ifelse
} def
1
{
	pre38Initialize
	/beginString exch store
	mark
	currentfile newBuff readstring exch pop
	{
		{
			newBuff beginString eq
			{
				/layerCount dup load 1 add store
			}
			{
				newBuff endString eq
				{
					/layerCount dup load 1 sub store
					layerCount 0 eq
					{
						cleartomark stop
					} if
				} if
			} ifelse
			shiftBuffer
		} loop
	} if
} def
2
{
	mark
	{
		currentfile buffer readline not
		{
		stop
		} if
		endString eq
		{
			cleartomark stop
		} if
	} loop
} def
3
{
	/beginString exch store
	/layerCnt 1 store
	mark
	{
		currentfile buffer readline not
		{
		stop
		} if
		dup beginString eq
		{
			pop /layerCnt dup load 1 add store
		}
		{
			endString eq
			{
				layerCnt 1 eq
				{
					cleartomark stop
				}
				{
					/layerCnt dup load 1 sub store
				} ifelse
			} if
		} ifelse
	} loop
} def
end
userdict /clipRenderOff 15 dict dup begin
put
{
	/n /N /s /S /f /F /b /B
}
{
	{
		_doClip 1 eq
		{
			/_doClip 0 ddef _eo {eoclip} {clip} ifelse
		} if
		newpath
	} def
} forall
/Tr /pop load def
/Bb {} def
/BB /pop load def
/Bg {12 npop} def
/Bm {6 npop} def
/Bc /Bm load def
/Bh {4 npop} def
end
/Lb
{
	4 npop
	6 1 roll
	pop
	4 1 roll
	pop pop pop
	0 eq
	{
		0 eq
		{
			(%AI5_BeginLayer) 1 (%AI5_EndLayer--) discard
		}
		{
			
			/clipForward? true def
			
			/Tx /pop load def
			/Tj /pop load def
			
			currentdict end clipRenderOff begin begin
		} ifelse
	}
	{
		0 eq
		{
			save /discardSave exch store
		} if
	} ifelse
} bind def
/LB
{
	discardSave dup null ne
	{
		restore
	}
	{
		pop
		clipForward?
		{
			currentdict
		 end
		 end
		 begin
					
			/clipForward? false ddef
		} if
	} ifelse
} bind def
/Pb
{
	pop pop
	0 (%AI5_EndPalette) discard
} bind def
/Np
{
	0 (%AI5_End_NonPrinting--) discard
} bind def
/Ln /pop load def
/Ap
/pop load def
/Ar
{
	72 exch div
	0 dtransform dup mul exch dup mul add sqrt
	dup 1 lt
	{
		pop 1
	} if
	setflat
} def
/Mb
{
	q
} def
/Md
{
} def
/MB
{
	Q
} def
/nc 4 dict def
nc begin
/setgray
{
	pop
} bind def
/setcmykcolor
{
	4 npop
} bind def
/setrgbcolor
{
	3 npop
} bind def
/setcustomcolor
{
	2 npop
} bind def
currentdict readonly pop
end
end
setpacking
%%EndResource
%%BeginResource: procset Adobe_cshow 2.0 8
%%Title: (Writing System Operators)
%%Version: 2.0 8
%%CreationDate: (1/23/89) ()
%%Copyright: ((C) 1992-1996 Adobe Systems Incorporated All Rights Reserved)
currentpacking true setpacking
userdict /Adobe_cshow 14 dict dup begin put
/initialize
{
	Adobe_cshow begin
	Adobe_cshow
	{
		dup xcheck
		{
			bind
		} if
		pop pop
	} forall
 end
	Adobe_cshow begin
} def
/terminate
{
currentdict Adobe_cshow eq
	{
 end
	} if
} def
/cforall
{
	/_lobyte 0 ddef
	/_hibyte 0 ddef
	/_cproc exch ddef
	/_cscript currentfont /FontScript known { currentfont /FontScript get } { -1 } ifelse ddef
	{
		/_lobyte exch ddef
		_hibyte 0 eq
		_cscript 1 eq
		_lobyte 129 ge _lobyte 159 le and
		_lobyte 224 ge _lobyte 252 le and or and
		_cscript 2 eq
		_lobyte 161 ge _lobyte 254 le and and
		_cscript 3 eq
		_lobyte 161 ge _lobyte 254 le and and
    	_cscript 25 eq
		_lobyte 161 ge _lobyte 254 le and and
    	_cscript -1 eq
		or or or or and
		{
			/_hibyte _lobyte ddef
		}
		{
			_hibyte 256 mul _lobyte add
			_cproc
			/_hibyte 0 ddef
		} ifelse
	} forall
} def
/cstring
{
	dup 256 lt
	{
		(s) dup 0 4 3 roll put
	}
	{
		dup 256 idiv exch 256 mod
		(hl) dup dup 0 6 5 roll put 1 4 3 roll put
	} ifelse
} def
/clength
{
	0 exch
	{ 256 lt { 1 } { 2 } ifelse add } cforall
} def
/hawidthshow
{
	{
		dup cstring
		show
		_hvax _hvay rmoveto
		_hvwb eq { _hvcx _hvcy rmoveto } if
	} cforall
} def
/vawidthshow
{
	{
		dup 255 le
		_charorientation 1 eq
		and
		{
			-90 rotate
			0 _fontRotateAdjust rmoveto
			cstring
			_hvcx _hvcy _hvwb _hvax _hvay 6 -1 roll awidthshow
			0 _fontRotateAdjust neg rmoveto
			90 rotate
		}
		{
			currentpoint
			_fontHeight sub
			exch _hvay sub exch _hvax sub
			2 index _hvwb eq { exch _hvcy sub exch _hvcx sub } if
			3 2 roll
			cstring
			dup stringwidth pop 2 div neg _fontAscent neg rmoveto
			show
			moveto
		} ifelse
	} cforall
} def
/hvawidthshow
{
	6 1 roll
	/_hvay exch ddef
	/_hvax exch ddef
	/_hvwb exch ddef
	/_hvcy exch ddef
	/_hvcx exch ddef
	_lineorientation 0 eq { hawidthshow } { vawidthshow } ifelse
} def
/hvwidthshow
{
	0 0 3 -1 roll hvawidthshow
} def
/hvashow
{
	0 0 0 6 -3 roll hvawidthshow
} def
/hvshow
{
	0 0 0 0 0 6 -1 roll hvawidthshow
} def
currentdict readonly pop end
setpacking
%%EndResource
%%EndProlog
%%BeginSetup
%%IncludeFont: Courier
%%IncludeFont: Symbol
Adobe_level2_AI5 /initialize get exec
Adobe_cshow /initialize get exec
Adobe_Illustrator_AI5_vars Adobe_Illustrator_AI5 Adobe_typography_AI5 /initialize get exec
Adobe_ColorImage_AI6 /initialize get exec
Adobe_Illustrator_AI5 /initialize get exec
[
39/quotesingle 96/grave 128/Adieresis/Aring/Ccedilla/Eacute/Ntilde/Odieresis
/Udieresis/aacute/agrave/acircumflex/adieresis/atilde/aring/ccedilla/eacute
/egrave/ecircumflex/edieresis/iacute/igrave/icircumflex/idieresis/ntilde
/oacute/ograve/ocircumflex/odieresis/otilde/uacute/ugrave/ucircumflex
/udieresis/dagger/degree/cent/sterling/section/bullet/paragraph/germandbls
/registered/copyright/trademark/acute/dieresis/.notdef/AE/Oslash
/.notdef/plusminus/.notdef/.notdef/yen/mu/.notdef/.notdef
/.notdef/.notdef/.notdef/ordfeminine/ordmasculine/.notdef/ae/oslash
/questiondown/exclamdown/logicalnot/.notdef/florin/.notdef/.notdef
/guillemotleft/guillemotright/ellipsis/.notdef/Agrave/Atilde/Otilde/OE/oe
/endash/emdash/quotedblleft/quotedblright/quoteleft/quoteright/divide
/.notdef/ydieresis/Ydieresis/fraction/currency/guilsinglleft/guilsinglright
/fi/fl/daggerdbl/periodcentered/quotesinglbase/quotedblbase/perthousand
/Acircumflex/Ecircumflex/Aacute/Edieresis/Egrave/Iacute/Icircumflex
/Idieresis/Igrave/Oacute/Ocircumflex/.notdef/Ograve/Uacute/Ucircumflex
/Ugrave/dotlessi/circumflex/tilde/macron/breve/dotaccent/ring/cedilla
/hungarumlaut/ogonek/caron
TE
%AI55J_Tsume: None
%AI3_BeginEncoding: _Courier Courier
[/_Courier/Courier 0 0 1 TZ
%AI3_EndEncoding AdobeType
%AI55J_Tsume: None
%AI3_BeginEncoding: _Symbol Symbol
[32/space
/exclam
/universal
/numbersign
/existential
/percent
/ampersand
/suchthat
/parenleft
/parenright
/asteriskmath
/plus
/comma
/minus
/period
/slash
/zero
/one
/two
/three
/four
/five
/six
/seven
/eight
/nine
/colon
/semicolon
/less
/equal
/greater
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0.05 0.03 0.95 0 1 50 5 %_Bs
BD
%AI5_EndGradient
%AI5_End_NonPrinting--
%AI5_BeginPalette
0 0 Pb
0 0 0 0 k
(C=0 M=0 Y=0 K=0) Pc
0 0 0 1 k
(C=0 M=0 Y=0 K=100) Pc
0 0.45 0.6 0 k
(C=0 M=45 Y=60 K=0) Pc
0 0.5 0.05 0 k
(C=0 M=50 Y=5 K=0) Pc
0 0.9 1 0 k
(C=0 M=90 Y=100 K=0) Pc
1 0.2 1 0 k
(C=100 M=20 Y=100 K=0) Pc
1 0.4 0.15 0 k
(C=100 M=40 Y=15 K=0) Pc
0.2 0 1 0 k
(C=20 M=0 Y=100 K=0) Pc
0.25 1 0.25 0 k
(C=25 M=100 Y=25 K=0) Pc
0.4 0.4 0.4 0 k
(C=40 M=40 Y=40 K=0) Pc
0.4 0.7 1 0 k
(C=40 M=70 Y=100 K=0) Pc
0.75 0.9 0 0 k
(C=75 M=90 Y=0 K=0) Pc
1 0 0.55 0 (Aqua) 0 x
(Aqua) Pc
1 0.5 0 0 (Blue) 0 x
(Blue) Pc
0.5 0.4 0.3 0 (Blue Gray) 0 x
(Blue Gray) Pc
0.8 0.05 0 0 (Blue Sky) 0 x
(Blue Sky) Pc
0.5 0.85 1 0 (Brown) 0 x
(Brown) Pc
1 0.9 0.1 0 (Dark Blue) 0 x
(Dark Blue) Pc
1 0.55 1 0 (Forest Green) 0 x
(Forest Green) Pc
0.05 0.2 0.95 0 (Gold) 0 x
(Gold) Pc
0.75 0.05 1 0 (Grass Green) 0 x
(Grass Green) Pc
0 0.45 1 0 (Orange) 0 x
(Orange) Pc
0.15 1 1 0 (Red) 0 x
(Red) Pc
0.45 0.9 0 0 (Violet) 0 x
(Violet) Pc
Bb
2 (Black, White) -4014 4716 0 0 1 0 0 1 0 0 Bg
0 BB
(Black, White) Pc
Bb
2 (Chrome) -4014 4716 0 0 1 0 0 1 0 0 Bg
0 BB
(Chrome) Pc
Bb
2 (Green, Blue) -4014 4716 0 0 1 0 0 1 0 0 Bg
0 BB
(Green, Blue) Pc
Bb
2 (Orange, Green, Violet) -4014 4716 0 0 1 0 0 1 0 0 Bg
0 BB
(Orange, Green, Violet) Pc
Bb
2 (Pink, Yellow, Green ) -4014 4716 0 0 1 0 0 1 0 0 Bg
0 BB
(Pink, Yellow, Green ) Pc
Bb
2 (Purple, Red, Yellow) -4014 4716 0 0 1 0 0 1 0 0 Bg
0 BB
(Purple, Red, Yellow) Pc
Bb
2 (Rainbow) -4014 4716 0 0 1 0 0 1 0 0 Bg
0 BB
(Rainbow) Pc
Bb
2 (Steel Bar) -4014 4716 0 0 1 0 0 1 0 0 Bg
0 BB
(Steel Bar) Pc
Bb
0 0 0 0 Bh
2 (White & Red Radial) -4014 4716 0 0 1 0 0 1 0 0 Bg
0 BB
(White & Red Radial) Pc
Bb
0 0 0 0 Bh
2 (Yellow & Orange Radial) -4014 4716 0 0 1 0 0 1 0 0 Bg
0 BB
(Yellow & Orange Radial) Pc
Bb
0 0 0 0 Bh
2 (Yellow & Purple Radial) -4014 4716 0 0 1 0 0 1 0 0 Bg
0 BB
(Yellow & Purple Radial) Pc
Bb
2 (Yellow, Violet, Orange, Blue) -4014 4716 0 0 1 0 0 1 0 0 Bg
0 BB
(Yellow, Violet, Orange, Blue) Pc
(Arrow1.2.out/in) 0 0 1 1 0 0 0 0 0 [1 0 0 1 0 0] p
(Arrow1.2.out/in) Pc
(Arrow1.2.side) 0 0 1 1 0 0 0 0 0 [1 0 0 1 0 0] p
(Arrow1.2.side) Pc
(Bricks) 0 0 1 1 0 0 0 0 0 [1 0 0 1 0 0] p
(Bricks) Pc
(Checks) 0 0 1 1 0 0 0 0 0 [1 0 0 1 0 0] p
(Checks) Pc
(Confetti) 0 0 1 1 0 0 0 0 0 [1 0 0 1 0 0] p
(Confetti) Pc
(DblLine1.2.inner) 0 0 1 1 0 0 0 0 0 [1 0 0 1 0 0] p
(DblLine1.2.inner) Pc
(DblLine1.2.outer) 0 0 1 1 0 0 0 0 0 [1 0 0 1 0 0] p
(DblLine1.2.outer) Pc
(DblLine1.2.side) 0 0 1 1 0 0 0 0 0 [1 0 0 1 0 0] p
(DblLine1.2.side) Pc
(Diamonds) 0 0 1 1 0 0 0 0 0 [1 0 0 1 0 0] p
(Diamonds) Pc
(Hexagon) 0 0 1 1 0 0 0 0 0 [1 0 0 1 0 0] p
(Hexagon) Pc
(Laurel.inner) 0 0 1 1 0 0 0 0 0 [1 0 0 1 0 0] p
(Laurel.inner) Pc
(Laurel.outer) 0 0 1 1 0 0 0 0 0 [1 0 0 1 0 0] p
(Laurel.outer) Pc
(Laurel.side) 0 0 1 1 0 0 0 0 0 [1 0 0 1 0 0] p
(Laurel.side) Pc
(Leaves-fall) 0 0 1 1 0 0 0 0 0 [1 0 0 1 0 0] p
(Leaves-fall) Pc
(Polka dots) 0 0 1 1 0 0 0 0 0 [1 0 0 1 0 0] p
(Polka dots) Pc
(Random circles) 0 0 1 1 0 0 0 0 0 [1 0 0 1 0 0] p
(Random circles) Pc
(Rope.side) 0 0 1 1 0 0 0 0 0 [1 0 0 1 0 0] p
(Rope.side) Pc
(Scales) 0 0 1 1 0 0 0 0 0 [1 0 0 1 0 0] p
(Scales) Pc
(SolidStar.side) 0 0 1 1 0 0 0 0 0 [1 0 0 1 0 0] p
(SolidStar.side) Pc
(Stars) 0 0 1 1 0 0 0 0 0 [1 0 0 1 0 0] p
(Stars) Pc
(Stripes) 0 0 1 1 0 0 0 0 0 [1 0 0 1 0 0] p
(Stripes) Pc
(TriBevel.outer) 0 0 1 1 0 0 0 0 0 [1 0 0 1 0 0] p
(TriBevel.outer) Pc
(TriBevel.side) 0 0 1 1 0 0 0 0 0 [1 0 0 1 0 0] p
(TriBevel.side) Pc
(Waves-scroll) 0 0 1 1 0 0 0 0 0 [1 0 0 1 0 0] p
(Waves-scroll) Pc
PB
%AI5_EndPalette
%%EndSetup
%AI5_BeginLayer
1 1 1 1 0 0 0 79 128 255 Lb
(Layer 1) Ln
0 A
0 To
1 0 0 1 360.9874 319.8304 0 Tp
0 Tv
TP
0 Tr
0 O
0 g
300 Ar
0 J 0 j 1 w 4 M []0 d
%AI3_Note:
0 D
0 XR
%_ 0 50 XQ
/_Courier 10 8.0499 -2.5 Tf
0 Ts
100 100 Tz
0 Tt
%_0 0 100 100 Xu
%AI55J_GlyphSubst: GlyphSubstNone 
0 TA
%_ 0 XL
0 TY
0 TV
36 0 Xb
XB
0 0 5 TC
100 100 200 TW
25 TG
0 0 0 Ti
0 Ta
0 0 2 2 3 Th
0 Tq
0 Tg
0 0 Tl
0 Tc
0 Tw
(0) Tx 
(\r) TX 
TO
0 R
0 G
1 J 1 j 10 M
415.702 286.298 m
260.5606 286.298 l
415.702 396.0002 l
415.702 286.298 l
S
0 To
1 0 0 1 302.9998 392.8903 0 Tp
0 Tv
TP
0 Tr
0 O
0 g
0 J 0 j 4 M
(1) Tx 
(\r) TX 
TO
0 R
0 G
1 J 1 j 10 M
196.2975 286.298 m
260.5606 286.298 l
415.702 396.0002 l
415.702 505.7025 l
351.4389 505.7025 l
196.2975 396.0002 l
196.2975 286.298 l
S
0 To
1 0 0 1 244.6621 466.0251 0 Tp
0 Tv
TP
0 Tr
0 O
0 g
0 J 0 j 4 M
(2) Tx 
(\r) TX 
TO
0 R
0 G
1 J 1 j 10 M
196.2975 505.7025 m
351.4389 505.7025 l
196.2975 396.0002 l
196.2975 505.7025 l
S
0 To
1 0 0 1 276.081 445.005 0 Tp
0 Tv
TP
0 Tr
0 O
0 g
0 J 0 j 4 M
(3) Tx 
(\r) TX 
TO
0 R
0 G
1 J 1 j 2 w 10 M
196.2975 396.0002 m
351.4389 505.7025 l
196.2975 396.0002 l
S
0 To
1 0 0 1 270.9111 507.5091 0 Tp
0 Tv
TP
0 Tr
0 O
0 g
0 J 0 j 1 w 4 M
(4) Tx 
(\r) TX 
TO
0 R
0 G
1 J 1 j 2 w 10 M
196.2975 505.7025 m
351.4389 505.7025 l
196.2975 505.7025 l
S
0 To
1 0 0 1 347.3123 510.0758 0 Tp
0 Tv
TP
0 Tr
0 O
0 g
0 J 0 j 1 w 4 M
(5) Tx 
(\r) TX 
TO
0 R
0 G
1 J 1 j 0.5 w 10 M
351.4389 505.7025 m
351.4389 505.7025 l
S
0 To
1 0 0 1 380.6833 507.3341 0 Tp
0 Tv
TP
0 Tr
0 O
0 g
0 J 0 j 1 w 4 M
(6) Tx 
(\r) TX 
TO
0 R
0 G
1 J 1 j 2 w 10 M
351.4389 505.7025 m
415.702 505.7025 l
351.4389 505.7025 l
S
0 To
1 0 0 1 406.7021 496.6674 0 Tp
0 Tv
TP
0 Tr
0 O
0 g
0 J 0 j 1 w 4 M
(7) Tx 
(\r) TX 
TO
0 R
0 G
1 J 1 j 0.5 w 10 M
415.702 505.7025 m
415.702 505.7025 l
S
0 To
1 0 0 1 419.0353 448.4425 0 Tp
0 Tv
TP
0 Tr
0 O
0 g
0 J 0 j 1 w 4 M
(8) Tx 
(\r) TX 
TO
0 R
0 G
1 J 1 j 2 w 10 M
415.702 396.0002 m
415.702 505.7025 l
415.702 396.0002 l
S
0 To
1 0 0 1 406.52 399.6316 0 Tp
0 Tv
TP
0 Tr
0 O
0 g
0 J 0 j 1 w 4 M
(9) Tx 
(\r) TX 
TO
0 R
0 G
1 J 1 j 0.5 w 10 M
415.702 396.0002 m
415.702 396.0002 l
S
0 To
1 0 0 1 417.0854 337.4463 0 Tp
0 Tv
TP
0 Tr
0 O
0 g
0 J 0 j 1 w 4 M
(10) Tx 
(\r) TX 
TO
0 R
0 G
1 J 1 j 2 w 10 M
415.702 286.298 m
415.702 396.0002 l
415.702 286.298 l
S
0 To
1 0 0 1 326.1719 343.3712 0 Tp
0 Tv
TP
0 Tr
0 O
0 g
0 J 0 j 1 w 4 M
(11) Tx 
(\r) TX 
TO
0 R
0 G
1 J 1 j 2 w 10 M
260.5606 286.298 m
415.702 396.0002 l
260.5606 286.298 l
S
0 To
1 0 0 1 419.3333 504 0 Tp
0 Tv
TP
0 Tr
0 O
0 0 0 1 k
800 Ar
0 J 0 j 1 w 4 M
/_Symbol 12 12 -3.516 Tf
1 TA
(\(-t,-t\)) Tx 1 0 Tk
(\r) TX 
TO
0 To
1 0 0 1 418.6667 392.6667 0 Tp
0 Tv
TP
0 Tr
(\(-t,0\)) Tx 1 0 Tk
(\r) TX 
TO
0 To
1 0 0 1 418.6667 283.3333 0 Tp
0 Tv
TP
0 Tr
(\(-t,t\)) Tx 1 0 Tk
(\r) TX 
TO
0 To
1 0 0 1 242 273.3333 0 Tp
0 Tv
TP
0 Tr
(\(-1-t,t\)) Tx 1 0 Tk
(\r) TX 
TO
0 To
1 0 0 1 170.6667 393.3333 0 Tp
0 Tv
TP
0 Tr
(\(t,0\)) Tx 1 0 Tk
(\r) TX 
TO
0 To
1 0 0 1 166 502.6667 0 Tp
0 Tv
TP
0 Tr
(\(t,-t\)) Tx 1 0 Tk
(\r) TX 
TO
0 To
1 0 0 1 170 283.3333 0 Tp
0 Tv
TP
0 Tr
(\(t,t\)) Tx 1 0 Tk
(\r) TX 
TO
0 To
1 0 0 1 230.6667 478.6667 0 Tp
0 Tv
TP
0 Tr
(\r) Tx 1 0 Tk
TO
0 To
1 0 0 1 482 326 0 Tp
0 Tv
TP
0 Tr
(\r) Tx 1 0 Tk
TO
1 Ap
415.1716 393.8382 m
416.7336 393.8382 418 395.1046 418 396.6667 c
418 398.2287 416.7336 399.4951 415.1716 399.4951 c
413.6095 399.4951 412.3431 398.2287 412.3431 396.6667 c
412.3431 395.1046 413.6095 393.8382 415.1716 393.8382 c
f
349.5049 501.9008 m
351.067 501.9008 352.3333 503.1671 352.3333 504.7292 c
352.3333 506.2913 351.067 507.5576 349.5049 507.5576 c
347.9428 507.5576 346.6765 506.2913 346.6765 504.7292 c
346.6765 503.1671 347.9428 501.9008 349.5049 501.9008 c
f
415.3333 502.6667 m
416.8954 502.6667 418.1618 503.933 418.1618 505.4951 c
418.1618 507.0572 416.8954 508.3235 415.3333 508.3235 c
413.7713 508.3235 412.5049 507.0572 412.5049 505.4951 c
412.5049 503.933 413.7713 502.6667 415.3333 502.6667 c
f
LB
%AI5_EndLayer--
%%PageTrailer
gsave annotatepage grestore showpage
%%Trailer
Adobe_Illustrator_AI5 /terminate get exec
Adobe_ColorImage_AI6 /terminate get exec
Adobe_typography_AI5 /terminate get exec
Adobe_cshow /terminate get exec
Adobe_level2_AI5 /terminate get exec
%%EOF

%%EndDocument
 @endspecial 515 4950 a(Figure)h(9:)38 b(Example)28 b(I)r(I:)h
(generating)d(partition.)39 b(The)28 b(domains)g(0)p
Fq(;)14 b Fu(1)p Fq(;)g Fu(2)27 b(are)g(op)r(en)i(p)r(oly-)515
5050 y(gons;)h(3)p Fq(;)14 b Fu(4)p Fq(;)g Fu(6)p Fq(;)g
Fu(8)p Fq(;)g Fu(10)p Fq(;)g Fu(11)25 b(are)k(op)r(en)h(line)g(segmen)n
(ts;)g(5)p Fq(;)14 b Fu(7)p Fq(;)g Fu(9)28 b(are)h(p)r(oin)n(ts.)43
b(Eac)n(h)29 b(domain)g(is)515 5150 y(assigned)d(return)h(time)h(1.)
1905 5506 y(58)p eop
%%Page: 59 59
59 58 bop 897 1773 a @beginspecial 182 @llx 302 @lly
434 @urx 491 @ury 2520 @rwi @setspecial
%%BeginDocument: fig.ExampleII.2.eps
%!PS-Adobe-3.0 EPSF-3.0
%%Creator: Adobe Illustrator(TM) 7.0
%%For: (John H Lowenstein) ()
%%Title: (picA2.eps)
%%CreationDate: (7/12/01) (2:36 PM)
%%BoundingBox: 182 302 434 491
%%HiResBoundingBox: 182 302.484 433.449 490.6667
%%DocumentProcessColors: Black
%%DocumentFonts: Courier
%%+ Symbol
%%DocumentSuppliedResources: procset Adobe_level2_AI5 1.2 0
%%+ procset Adobe_typography_AI5 1.0 1
%%+ procset Adobe_ColorImage_AI6 1.1 0
%%+ procset Adobe_Illustrator_AI5 1.2 0
%%+ procset Adobe_cshow 2.0 8
%AI5_FileFormat 3
%AI3_ColorUsage: Black&White
%AI3_IncludePlacedImages
%AI7_ImageSettings: 1
%%CMYKCustomColor: 1 0 0.55 0 (Aqua)
%%+ 1 0.5 0 0 (Blue)
%%+ 0.5 0.4 0.3 0 (Blue Gray)
%%+ 0.8 0.05 0 0 (Blue Sky)
%%+ 0.5 0.85 1 0 (Brown)
%%+ 1 0.9 0.1 0 (Dark Blue)
%%+ 1 0.55 1 0 (Forest Green)
%%+ 0.05 0.2 0.95 0 (Gold)
%%+ 0.75 0.05 1 0 (Grass Green)
%%+ 0 0.45 1 0 (Orange)
%%+ 0.15 1 1 0 (Red)
%%+ 0.45 0.9 0 0 (Violet)
%%AI6_ColorSeparationSet: 1 1 (AI6 Default Color Separation Set) 
%%+ Options: 1 16 0 1 0 1 1 1 0 1 1 1 1 18 0 0 0 0 0 0 0 0 -1 -1
%%+ PPD: 1 21 0 0 60 45 2 2 1 0 0 1 0 0 0 0 0 0 0 0 0 0 () 
%AI3_TemplateBox: 306 396 306 396
%AI3_TileBox: 30 35 582 761
%AI3_DocumentPreview: Macintosh_Pic
%AI5_ArtSize: 612 792
%AI5_RulerUnits: 2
%AI5_ArtFlags: 1 0 0 1 0 0 1 1 0
%AI5_TargetResolution: 800
%AI5_NumLayers: 1
%AI5_OpenToView: 98 540 1.5 634 437 18 0 1 3 40 0 0
%AI5_OpenViewLayers: 7
%%PageOrigin:30 35
%%AI3_PaperRect:-30 761 582 -31
%%AI3_Margin:30 -31 -30 31
%AI7_GridSettings: 72 8 72 8 1 0 0.52 0.52 0.52 0.76 0.76 0.76
%%EndComments
%%BeginProlog
%%BeginResource: procset Adobe_level2_AI5 1.2 0
%%Title: (Adobe Illustrator (R) Version 5.0 Level 2 Emulation)
%%Version: 1.2 0
%%CreationDate: (04/10/93) ()
%%Copyright: ((C) 1987-1996 Adobe Systems Incorporated All Rights Reserved)
userdict /Adobe_level2_AI5 25 dict dup begin
	put
	/packedarray where not
	{
		userdict begin
		/packedarray
		{
			array astore readonly
		} bind def
		/setpacking /pop load def
		/currentpacking false def
	 end
		0
	} if
	pop
	userdict /defaultpacking currentpacking put true setpacking
	/initialize
	{
		Adobe_level2_AI5 begin
	} bind def
	/terminate
	{
		currentdict Adobe_level2_AI5 eq
		{
		 end
		} if
	} bind def
	mark
	/setcustomcolor where not
	{
		/findcmykcustomcolor
		{
			0
			6 packedarray
		} bind def
		/findrgbcustomcolor
		{
			1
			5 packedarray
		} bind def
		/setcustomcolor
		{
			exch 
			aload pop 
			0 eq
			{
				pop
				4
				{
					4 index mul
					4 1 roll
				} repeat
				5 -1 roll pop
				setcmykcolor
			}
			{
				pop
				3
				{
					1 exch sub
					3 index mul 
					1 exch sub
					3 1 roll
				} repeat
				4 -1 roll pop
				setrgbcolor
			} ifelse
		}
		def
	} if
	
	/gt38? mark {version cvr cvx exec} stopped {cleartomark true} {38 gt exch pop} ifelse def
	userdict /deviceDPI 72 0 matrix defaultmatrix dtransform dup mul exch dup mul add sqrt put
	userdict /level2?
	systemdict /languagelevel known dup
	{
		pop systemdict /languagelevel get 2 ge
	} if
	put
/level2ScreenFreq
{
 begin
		60
		HalftoneType 1 eq
		{
			pop Frequency
		} if
		HalftoneType 2 eq
		{
			pop GrayFrequency
		} if
		HalftoneType 5 eq
		{
			pop Default level2ScreenFreq
		} if
 end
} bind def
userdict /currentScreenFreq  
	level2? {currenthalftone level2ScreenFreq} {currentscreen pop pop} ifelse put
level2? not
	{
		/setcmykcolor where not
		{
			/setcmykcolor
			{
				exch .11 mul add exch .59 mul add exch .3 mul add
				1 exch sub setgray
			} def
		} if
		/currentcmykcolor where not
		{
			/currentcmykcolor
			{
				0 0 0 1 currentgray sub
			} def
		} if
		/setoverprint where not
		{
			/setoverprint /pop load def
		} if
		/selectfont where not
		{
			/selectfont
			{
				exch findfont exch
				dup type /arraytype eq
				{
					makefont
				}
				{
					scalefont
				} ifelse
				setfont
			} bind def
		} if
		/cshow where not
		{
			/cshow
			{
				[
				0 0 5 -1 roll aload pop
				] cvx bind forall
			} bind def
		} if
	} if
	cleartomark
	/anyColor?
	{
		add add add 0 ne
	} bind def
	/testColor
	{
		gsave
		setcmykcolor currentcmykcolor
		grestore
	} bind def
	/testCMYKColorThrough
	{
		testColor anyColor?
	} bind def
	userdict /composite?
	level2?
	{
		gsave 1 1 1 1 setcmykcolor currentcmykcolor grestore
		add add add 4 eq
	}
	{
		1 0 0 0 testCMYKColorThrough
		0 1 0 0 testCMYKColorThrough
		0 0 1 0 testCMYKColorThrough
		0 0 0 1 testCMYKColorThrough
		and and and
	} ifelse
	put
	composite? not
	{
		userdict begin
		gsave
		/cyan? 1 0 0 0 testCMYKColorThrough def
		/magenta? 0 1 0 0 testCMYKColorThrough def
		/yellow? 0 0 1 0 testCMYKColorThrough def
		/black? 0 0 0 1 testCMYKColorThrough def
		grestore
		/isCMYKSep? cyan? magenta? yellow? black? or or or def
		/customColor? isCMYKSep? not def
	 end
	} if
 end defaultpacking setpacking
%%EndResource
%%BeginResource: procset Adobe_typography_AI5 1.0 1
%%Title: (Typography Operators)
%%Version: 1.0 1
%%CreationDate:(6/10/1996) ()
%%Copyright: ((C) 1987-1996 Adobe Systems Incorporated All Rights Reserved)
currentpacking true setpacking
userdict /Adobe_typography_AI5 68 dict dup begin
put
/initialize
{
 begin
 begin
	Adobe_typography_AI5 begin
	Adobe_typography_AI5
	{
		dup xcheck
		{
			bind
		} if
		pop pop
	} forall
 end
 end
 end
	Adobe_typography_AI5 begin
} def
/terminate
{
	currentdict Adobe_typography_AI5 eq
	{
	 end
	} if
} def
/modifyEncoding
{
	/_tempEncode exch ddef
	/_pntr 0 ddef
	{
		counttomark -1 roll
		dup type dup /marktype eq
		{
			pop pop exit
		}
		{
			/nametype eq
			{
				_tempEncode /_pntr dup load dup 3 1 roll 1 add ddef 3 -1 roll
				put
			}
			{
				/_pntr exch ddef
			} ifelse
		} ifelse
	} loop
	_tempEncode
} def
/havefont
{
	systemdict /languagelevel known
		{
		/Font resourcestatus dup
			{ exch pop exch pop }
		if
		}
		{
		systemdict /FontDirectory get 1 index known
			{ pop true }
			{
			systemdict /fileposition known
				{
				dup length 6 add exch
				Ss 6 250 getinterval
				cvs pop
				Ss exch 0 exch getinterval
				status
					{ pop pop pop pop true }
					{ false }
				ifelse
				}
				{
				pop false
				}
			ifelse
			}
		ifelse
		}
	ifelse
} def
/TE
{
	StandardEncoding 256 array copy modifyEncoding
	/_nativeEncoding exch def
} def
/subststring {
	exch 2 index exch search
	{
		exch pop
		exch dup () eq
		{
			pop exch concatstring
		}
		{
			3 -1 roll
			exch concatstring
			concatstring
		} ifelse
		exch pop true
	}
	{
		pop pop false
	} ifelse
} def
/concatstring {
	1 index length 1 index length
	1 index add
	string
	dup 0 5 index putinterval
	dup 2 index 4 index putinterval
	4 1 roll pop pop pop
} def
%
/TZ
{
	dup type /arraytype eq
	{
		/_wv exch def
	}
	{
		/_wv 0 def
	} ifelse
	/_useNativeEncoding exch def
	2 index havefont
	{
		3 index
		255 string
		cvs
		
		dup
		(_Symbol_)
		eq
		{
			pop
			2 index
			findfont
			
		}
		{
			dup length 1 sub
			1 exch
			getinterval
			
			cvn
			findfont
		} ifelse
	}
	{
		dup 1 eq
		{
			2 index 64 string cvs
			dup (-90pv-RKSJ-) (-83pv-RKSJ-) subststring
			{
				exch pop dup havefont
				{
					findfont false
				}
				{
					pop true
				} ifelse
			}
			{
				pop	dup
				(-90ms-RKSJ-) (-Ext-RKSJ-) subststring
				{
					exch pop dup havefont
					{
						findfont false
					}
					{
						pop true
					} ifelse
				}
				{
					pop pop true
				} ifelse
			} ifelse
			{
				/Ryumin-Light-83pv-RKSJ-H havefont
					{/Ryumin-Light-83pv-RKSJ-H}
					{/Courier}
					ifelse
					findfont
					[1 0 0.5 1 0 0] makefont
			} if
		}
		{
			/Courier findfont
		} ifelse
	} ifelse
	_wv type /arraytype eq
	{
		_wv makeblendedfont
	} if
	dup length 10 add dict
 begin
	mark exch
	{
		1 index /FID ne
		{
			def
		} if
		cleartomark mark
	} forall
	pop
	/FontScript exch def
	/FontDirection exch def
	/FontRequest exch def
	/FontName exch def
	counttomark 0 eq
	{
		1 _useNativeEncoding eq
		{
			/Encoding _nativeEncoding def
		} if
		cleartomark
	}
	{
		/Encoding load 256 array copy
		modifyEncoding /Encoding exch def
	} ifelse
	FontName currentdict
 end
	definefont pop
} def
/tr
{
	_ax _ay 3 2 roll
} def
/trj
{
	_cx _cy _sp _ax _ay 6 5 roll
} def
/a0
{
	/Tx
	{
		dup
		currentpoint 3 2 roll
		tr _psf
		newpath moveto
		tr _ctm _pss
	} ddef
	/Tj
	{
		dup
		currentpoint 3 2 roll
		trj _pjsf
		newpath moveto
		trj _ctm _pjss
	} ddef
} def
/a1
{
W B
} def
/e0
{
	/Tx
	{
		tr _psf
	} ddef
	/Tj
	{
		trj _pjsf
	} ddef
} def
/e1
{
W F 
} def
/i0
{
	/Tx
	{
		tr sp
	} ddef
	/Tj
	{
		trj jsp
	} ddef
} def
/i1
{
	W N
} def
/o0
{
	/Tx
	{
		tr sw rmoveto
	} ddef
	/Tj
	{
		trj swj rmoveto
	} ddef
} def
/r0
{
	/Tx
	{
		tr _ctm _pss
	} ddef
	/Tj
	{
		trj _ctm _pjss
	} ddef
} def
/r1
{
W S
} def
/To
{
	pop _ctm currentmatrix pop
} def
/TO
{
	iTe _ctm setmatrix newpath
} def
/Tp
{
	pop _tm astore pop _ctm setmatrix
	_tDict begin
	/W
	{
	} def
	/h
	{
	} def
} def
/TP
{
 end
	iTm 0 0 moveto
} def
/Tr
{
	_render 3 le
	{
		currentpoint newpath moveto
	} if
	dup 8 eq
	{
		pop 0
	}
	{
		dup 9 eq
		{
			pop 1
		} if
	} ifelse
	dup /_render exch ddef
	_renderStart exch get load exec
} def
/iTm
{
	_ctm setmatrix _tm concat
	_shift aload pop _lineorientation 1 eq { exch } if translate
	_scale aload pop _lineorientation 1 eq _yokoorientation 1 eq or { exch } if scale
} def
/Tm
{
	_tm astore pop iTm 0 0 moveto
} def
/Td
{
	_mtx translate _tm _tm concatmatrix pop iTm 0 0 moveto
} def
/iTe
{
	_render -1 eq
	{
	}
	{
		_renderEnd _render get dup null ne
		{
			load exec
		}
		{
			pop
		} ifelse
	} ifelse
	/_render -1 ddef
} def
/Ta
{
	pop
} def
/Tf
{
	1 index type /nametype eq
	{
		dup 0.75 mul 1 index 0.25 mul neg
	} if
	/_fontDescent exch ddef
	/_fontAscent exch ddef
	/_fontSize exch ddef
	/_fontRotateAdjust _fontAscent _fontDescent add 2 div neg ddef
	/_fontHeight _fontSize ddef
	findfont _fontSize scalefont setfont
} def
/Tl
{
	pop neg 0 exch
	_leading astore pop
} def
/Tt
{
	pop
} def
/TW
{
	3 npop
} def
/Tw
{
	/_cx exch ddef
} def
/TC
{
	3 npop
} def
/Tc
{
	/_ax exch ddef
} def
/Ts
{
	0 exch
	_shift astore pop
	currentpoint
	iTm
	moveto
} def
/Ti
{
	3 npop
} def
/Tz
{
	count 1 eq { 100 } if
	100 div exch 100 div exch
	_scale astore pop
	iTm
} def
/TA
{
	pop
} def
/Tq
{
	pop
} def
/Tg
{
	pop
} def
/TG
{
	pop
} def
/Tv
{
	/_lineorientation exch ddef
} def
/TV
{
	/_charorientation exch ddef
} def
/Ty
{
	dup /_yokoorientation exch ddef 1 sub neg Tv
} def
/TY
{
	pop
} def
/T~
{
	Tx
} def
/Th
{
	pop pop pop pop pop
} def
/TX
{
	pop
} def
/Tk
{
	_fontSize mul 1000 div
	_lineorientation 0 eq { neg 0 } { 0 exch } ifelse
	rmoveto
	pop
} def
/TK
{
	2 npop
} def
/T*
{
	_leading aload pop
	_lineorientation 0 ne { exch } if
	Td
} def
/T*-
{
	_leading aload pop
	_lineorientation 0 ne { exch } if
	exch neg exch neg
	Td
} def
/T-
{
	_ax neg 0 rmoveto
	_lineorientation 1 eq _charorientation 0 eq and { 1 TV _hyphen Tx 0 TV } { _hyphen Tx } ifelse
} def
/T+
{
} def
/TR
{
	_ctm currentmatrix pop
	_tm astore pop
	iTm 0 0 moveto
} def
/TS
{
	currentfont 3 1 roll
	/_Symbol_ findfont _fontSize scalefont setfont
	
	0 eq
	{
		Tx
	}
	{
		Tj
	} ifelse
	setfont
} def
/Xb
{
	pop pop
} def
/Tb /Xb load def
/Xe
{
	pop pop pop pop
} def
/Te /Xe load def
/XB
{
} def
/TB /XB load def
currentdict readonly pop
end
setpacking
%
/X^
{
	currentfont 5 1 roll
	dup havefont
		{
		findfont _fontSize scalefont setfont
		}
		{
		pop
		exch
		} ifelse
	2 index 0 eq
	{
		Tx
	}
	{
		Tj
	} ifelse
	pop	pop
	setfont
} def
/T^	/X^	load def
%%EndResource
%%BeginProcSet: Adobe_ColorImage_AI6 1.1 0
userdict /Adobe_ColorImage_AI6 known not
{
	userdict /Adobe_ColorImage_AI6 24 dict put 
} if
userdict /Adobe_ColorImage_AI6 get begin
/initialize
{ 
	Adobe_ColorImage_AI6 begin
	Adobe_ColorImage_AI6
	{
		dup type /arraytype eq
		{
			dup xcheck
			{
				bind
			} if
		} if
		pop pop
	} forall
} def
/terminate { end } def
currentdict /Adobe_ColorImage_AI6_Vars known not
{
	/Adobe_ColorImage_AI6_Vars 15 dict def
} if
Adobe_ColorImage_AI6_Vars begin
	/channelcount 0 def
	/sourcecount 0 def
	/sourcearray 4 array def
	/plateindex -1 def
	/XIMask 0 def
	/XIBinary 0 def
	/XIChannelCount 0 def
	/XIBitsPerPixel 0 def
	/XIImageHeight 0 def
	/XIImageWidth 0 def
	/XIImageMatrix null def
	/XIBuffer null def
	/XIDataProc null def
	/XIVersion 6 def
end
/WalkRGBString null def
/WalkCMYKString null def
/StuffRGBIntoGrayString null def
/RGBToGrayImageProc null def
/StuffCMYKIntoGrayString null def
/CMYKToGrayImageProc null def
/ColorImageCompositeEmulator null def
/SeparateCMYKImageProc null def
/FourEqual null def
/TestPlateIndex null def
currentdict /_colorimage known not
{
	/colorimage where
	{
		/colorimage get /_colorimage exch def
	}
	{
		/_colorimage null def
	} ifelse
} if
/_currenttransfer systemdict /currenttransfer get def
/colorimage null def
/XI null def
/WalkRGBString
{
	0 3 index
	dup length 1 sub 0 3 3 -1 roll
	{
		3 getinterval { } forall
		5 index exec
		3 index
	} for
	
	 5 { pop } repeat
} def
/WalkCMYKString
{
	0 3 index
	dup length 1 sub 0 4 3 -1 roll
	{
		4 getinterval { } forall
		
		6 index exec
		
		3 index
		
	} for
	
	5 { pop } repeat
	
} def
/StuffRGBIntoGrayString
{
	.11 mul exch
	
	.59 mul add exch
	
	.3 mul add
	
	cvi 3 copy put
	
	pop 1 add
} def
/RGBToGrayImageProc
{	
	Adobe_ColorImage_AI6_Vars begin 
		sourcearray 0 get exec
		dup length 3 idiv string
		dup 3 1 roll 
		
		/StuffRGBIntoGrayString load exch
		WalkRGBString
 end
} def
/StuffCMYKIntoGrayString
{
	exch .11 mul add
	
	exch .59 mul add
	
	exch .3 mul add
	
	dup 255 gt { pop 255 } if
	
	255 exch sub cvi 3 copy put
	
	pop 1 add
} def
/CMYKToGrayImageProc
{	
	Adobe_ColorImage_AI6_Vars begin
		sourcearray 0 get exec
		dup length 4 idiv string
		dup 3 1 roll 
		
		/StuffCMYKIntoGrayString load exch
		WalkCMYKString
 end
} def
/ColorImageCompositeEmulator
{
	pop true eq
	{
		Adobe_ColorImage_AI6_Vars /sourcecount get 5 add { pop } repeat
	}
	{
		Adobe_ColorImage_AI6_Vars /channelcount get 1 ne
		{
			Adobe_ColorImage_AI6_Vars begin
				sourcearray 0 3 -1 roll put
			
				channelcount 3 eq 
				{ 
					/RGBToGrayImageProc 
				}
				{ 
					/CMYKToGrayImageProc
				} ifelse
				load
		 end
		} if
		image
	} ifelse
} def
/SeparateCMYKImageProc
{	
	Adobe_ColorImage_AI6_Vars begin
		sourcecount 0 ne
		{
			sourcearray plateindex get exec
		}
		{			
			sourcearray 0 get exec
			
			dup length 4 idiv string
			
			0 2 index
			
			plateindex 4 2 index length 1 sub
			{
				get 255 exch sub
				
				3 copy put pop 1 add
				
				2 index
			} for
			pop pop exch pop
		} ifelse
 end
} def
	
/FourEqual
{
	4 index ne
	{
		pop pop pop false
	}
	{
		4 index ne
		{
			pop pop false
		}
		{
			4 index ne
			{
				pop false
			}
			{
				4 index eq
			} ifelse
		} ifelse
	} ifelse
} def
/TestPlateIndex
{
	Adobe_ColorImage_AI6_Vars begin
		/plateindex -1 def
		/setcmykcolor where
		{
			pop
			gsave
			1 0 0 0 setcmykcolor systemdict /currentgray get exec 1 exch sub
			0 1 0 0 setcmykcolor systemdict /currentgray get exec 1 exch sub
			0 0 1 0 setcmykcolor systemdict /currentgray get exec 1 exch sub
			0 0 0 1 setcmykcolor systemdict /currentgray get exec 1 exch sub
			grestore
			1 0 0 0 FourEqual 
			{ 
				/plateindex 0 def
			}
			{
				0 1 0 0 FourEqual
				{ 
					/plateindex 1 def
				}
				{
					0 0 1 0 FourEqual
					{
						/plateindex 2 def
					}
					{
						0 0 0 1 FourEqual
						{ 
							/plateindex 3 def
						}
						{
							0 0 0 0 FourEqual
							{
								/plateindex 5 def
							} if
						} ifelse
					} ifelse
				} ifelse
			} ifelse
			pop pop pop pop
		} if
		plateindex
 end
} def
/colorimage
{
	Adobe_ColorImage_AI6_Vars begin
		/channelcount 1 index def
		/sourcecount 2 index 1 eq { channelcount 1 sub } { 0 } ifelse def
		4 sourcecount add index dup 
		8 eq exch 1 eq or not
 end
	
	{
		/_colorimage load null ne
		{
			_colorimage
		}
		{
			Adobe_ColorImage_AI6_Vars /sourcecount get
			7 add { pop } repeat
		} ifelse
	}
	{
		dup 3 eq
		TestPlateIndex
		dup -1 eq exch 5 eq or or
		{
			/_colorimage load null eq
			{
				ColorImageCompositeEmulator
			}
			{
				dup 1 eq
				{
					pop pop image
				}
				{
					Adobe_ColorImage_AI6_Vars /plateindex get 5 eq
					{
						gsave
						
						0 _currenttransfer exec
						1 _currenttransfer exec
						eq
						{ 0 _currenttransfer exec 0.5 lt }
						{ 0 _currenttransfer exec 1 _currenttransfer exec gt } ifelse
						
						{ { pop 0 } } { { pop 1 } } ifelse
						systemdict /settransfer get exec
					} if
					
					_colorimage
					
					Adobe_ColorImage_AI6_Vars /plateindex get 5 eq
					{
						grestore
					} if
				} ifelse
			} ifelse
		}
		{
			dup 1 eq
			{
				pop pop
				image
			}
			{
				pop pop
				Adobe_ColorImage_AI6_Vars begin
					sourcecount -1 0
					{			
						exch sourcearray 3 1 roll put
					} for
					/SeparateCMYKImageProc load
			 end
				systemdict /image get exec
			} ifelse
		} ifelse
	} ifelse
} def
/XG
{
	pop pop
} def
/XF
{
	13 {pop} repeat
} def
/Xh
{
	Adobe_ColorImage_AI6_Vars begin
		gsave
		/XIMask exch 0 ne def
		/XIImageHeight exch def
		/XIImageWidth exch def
		/XIImageMatrix exch def
		0 0 moveto
		XIImageMatrix concat
		XIImageWidth XIImageHeight scale
		
		XIMask
		{
			/_lp /null ddef
			_fc
			/_lp /imagemask ddef
		}
		if
		/XIVersion 7 def
 end
} def
/XH
{
	Adobe_ColorImage_AI6_Vars begin
		/XIVersion 6 def
		grestore
 end
} def
/XI
{
	Adobe_ColorImage_AI6_Vars begin
		gsave
		/XIMask exch 0 ne def
		/XIBinary exch 0 ne def
		pop
		pop
		/XIChannelCount exch def
		/XIBitsPerPixel exch def
		/XIImageHeight exch def
		/XIImageWidth exch def
		pop pop pop pop
		/XIImageMatrix exch def
		XIBitsPerPixel 1 eq
		{
			XIImageWidth 8 div ceiling cvi
		}
		{
			XIImageWidth XIChannelCount mul
		} ifelse
		/XIBuffer exch string def
		XIBinary
		{
			/XIDataProc { currentfile XIBuffer readstring pop } def
			XIVersion 6 le
			{
				currentfile 128 string readline pop pop
			}
			if
		}
		{
			/XIDataProc { currentfile XIBuffer readhexstring pop } def
		} ifelse
		
		XIVersion 6 le
		{
			0 0 moveto
			XIImageMatrix concat
			XIImageWidth XIImageHeight scale
			XIMask
			{
				/_lp /null ddef
				_fc
				/_lp /imagemask ddef
			} if
		} if
		
		XIMask
		{
			XIImageWidth XIImageHeight
			false
			[ XIImageWidth 0 0 XIImageHeight neg 0 0 ]
			/XIDataProc load
			imagemask
		}
		{
			XIImageWidth XIImageHeight
			XIBitsPerPixel
			[ XIImageWidth 0 0 XIImageHeight neg 0 0 ]
			/XIDataProc load
			
			XIChannelCount 1 eq
			{
				gsave
				0 setgray
				image
				grestore
			}
			{
				false
				XIChannelCount
				colorimage
			} ifelse
		} ifelse
		grestore
 end
} def
end
%%EndProcSet
%%BeginResource: procset Adobe_Illustrator_AI5 1.2 0
%%Title: (Adobe Illustrator (R) Version 7.0 Full Prolog)
%%Version: 1.2 0
%%CreationDate: (3/7/1994) ()
%%Copyright: ((C) 1987-1996 Adobe Systems Incorporated All Rights Reserved)
currentpacking true setpacking
userdict /Adobe_Illustrator_AI5_vars 107 dict dup begin
put
/_eo false def
/_lp /none def
/_pf
{
} def
/_ps
{
} def
/_psf
{
} def
/_pss
{
} def
/_pjsf
{
} def
/_pjss
{
} def
/_pola 0 def
/_doClip 0 def
/cf currentflat def
/_lineorientation 0 def
/_charorientation 0 def
/_yokoorientation 0 def
/_tm matrix def
/_renderStart
[
/e0 /r0 /a0 /o0 /e1 /r1 /a1 /i0
] def
/_renderEnd
[
null null null null /i1 /i1 /i1 /i1
] def
/_render -1 def
/_shift [0 0] def
/_ax 0 def
/_ay 0 def
/_cx 0 def
/_cy 0 def
/_leading
[
0 0
] def
/_ctm matrix def
/_mtx matrix def
/_sp 16#020 def
/_hyphen (-) def
/_fontSize 0 def
/_fontAscent 0 def
/_fontDescent 0 def
/_fontHeight 0 def
/_fontRotateAdjust 0 def
/Ss 256 string def
Ss 0 (fonts/) putinterval
/_cnt 0 def
/_scale [1 1] def
/_nativeEncoding 0 def
/_useNativeEncoding 0 def
/_tempEncode 0 def
/_pntr 0 def
/_tDict 2 dict def
/_hfname 100 string def
/_hffound false def
/Tx
{
} def
/Tj
{
} def
/CRender
{
} def
/_AI3_savepage
{
} def
/_gf null def
/_cf 4 array def
/_rgbf 3 array def
/_if null def
/_of false def
/_fc
{
} def
/_gs null def
/_cs 4 array def
/_rgbs 3 array def
/_is null def
/_os false def
/_sc
{
} def
/_pd 1 dict def
/_ed 15 dict def
/_pm matrix def
/_fm null def
/_fd null def
/_fdd null def
/_sm null def
/_sd null def
/_sdd null def
/_i null def
/_lobyte 0 def
/_hibyte 0 def
/_cproc null def
/_cscript 0 def
/_hvax 0 def
/_hvay 0 def
/_hvwb 0 def
/_hvcx 0 def
/_hvcy 0 def
/_bitfont null def
/_bitlobyte 0 def
/_bithibyte 0 def
/_bitkey null def
/_bitdata null def
/_bitindex 0 def
/discardSave null def
/buffer 256 string def
/beginString null def
/endString null def
/endStringLength null def
/layerCnt 1 def
/layerCount 1 def
/perCent (%) 0 get def
/perCentSeen? false def
/newBuff null def
/newBuffButFirst null def
/newBuffLast null def
/clipForward? false def
end
userdict /Adobe_Illustrator_AI5 known not {
	userdict /Adobe_Illustrator_AI5 95 dict put
} if
userdict /Adobe_Illustrator_AI5 get begin
/initialize
{
	Adobe_Illustrator_AI5 dup begin
	Adobe_Illustrator_AI5_vars begin
	discardDict
	{
		bind pop pop
	} forall
	dup /nc get begin
	{
		dup xcheck 1 index type /operatortype ne and
		{
			bind
		} if
		pop pop
	} forall
 end
	newpath
} def
/terminate
{
 end
 end
} def
/_
null def
/ddef
{
	Adobe_Illustrator_AI5_vars 3 1 roll put
} def
/xput
{
	dup load dup length exch maxlength eq
	{
		dup dup load dup
		length 2 mul dict copy def
	} if
	load begin
	def
 end
} def
/npop
{
	{
		pop
	} repeat
} def
/hswj
{
	dup stringwidth 3 2 roll
	{
		_hvwb eq { exch _hvcx add exch _hvcy add } if
		exch _hvax add exch _hvay add
	} cforall
} def
/vswj
{
	0 0 3 -1 roll
	{
		dup 255 le
		_charorientation 1 eq
		and
		{
			dup cstring stringwidth 5 2 roll
			_hvwb eq { exch _hvcy sub exch _hvcx sub } if
			exch _hvay sub exch _hvax sub
			4 -1 roll sub exch
			3 -1 roll sub exch
		}
		{
			_hvwb eq { exch _hvcy sub exch _hvcx sub } if
			exch _hvay sub exch _hvax sub
			_fontHeight sub
		} ifelse
	} cforall
} def
/swj
{
	6 1 roll
	/_hvay exch ddef
	/_hvax exch ddef
	/_hvwb exch ddef
	/_hvcy exch ddef
	/_hvcx exch ddef
	_lineorientation 0 eq { hswj } { vswj } ifelse
} def
/sw
{
	0 0 0 6 3 roll swj
} def
/vjss
{
	4 1 roll
	{
		dup cstring
		dup length 1 eq
		_charorientation 1 eq
		and
		{
			-90 rotate
			currentpoint
			_fontRotateAdjust add
			moveto
			gsave
			false charpath currentpoint
			5 index setmatrix stroke
			grestore
			_fontRotateAdjust sub
			moveto
			_sp eq
			{
				5 index 5 index rmoveto
			} if
			2 copy rmoveto
			90 rotate
		}
		{
			currentpoint
			_fontHeight sub
			5 index sub
			3 index _sp eq
			{
				9 index sub
			} if
	
			currentpoint
			exch 4 index stringwidth pop 2 div sub
			exch _fontAscent sub
			moveto
	
			gsave
			2 index false charpath
			6 index setmatrix stroke
			grestore
	
			moveto pop pop
		} ifelse
	} cforall
	6 npop
} def
/hjss
{
	4 1 roll
	{
		dup cstring
		gsave
		false charpath currentpoint
		5 index setmatrix stroke
		grestore
		moveto
		_sp eq
		{
			5 index 5 index rmoveto
		} if
		2 copy rmoveto
	} cforall
	6 npop
} def
/jss
{
	_lineorientation 0 eq { hjss } { vjss } ifelse
} def
/ss
{
	0 0 0 7 3 roll jss
} def
/vjsp
{
	4 1 roll
	{
		dup cstring
		dup length 1 eq
		_charorientation 1 eq
		and
		{
			-90 rotate
			currentpoint
			_fontRotateAdjust add
			moveto
			false charpath
            currentpoint
			_fontRotateAdjust sub
			moveto
			_sp eq
			{
				5 index 5 index rmoveto
			} if
			2 copy rmoveto
			90 rotate
		}
		{
			currentpoint
			_fontHeight sub
			5 index sub
			3 index _sp eq
			{
				9 index sub
			} if
	
			currentpoint
			exch 4 index stringwidth pop 2 div sub
			exch _fontAscent sub
			moveto
	
			2 index false charpath
	
			moveto pop pop
		} ifelse
	} cforall
	6 npop
} def
/hjsp
{
    4 1 roll
    {
        dup cstring
        false charpath
        _sp eq
        {
            5 index 5 index rmoveto
        } if
        2 copy rmoveto
    } cforall
    6 npop
} def
/jsp
{
	matrix currentmatrix
    _lineorientation 0 eq {hjsp} {vjsp} ifelse
} def
/sp
{
    matrix currentmatrix
    0 0 0 7 3 roll
    _lineorientation 0 eq {hjsp} {vjsp} ifelse
} def
/pl
{
	transform
	0.25 sub round 0.25 add exch
	0.25 sub round 0.25 add exch
	itransform
} def
/setstrokeadjust where
{
	pop true setstrokeadjust
	/c
	{
		curveto
	} def
	/C
	/c load def
	/v
	{
		currentpoint 6 2 roll curveto
	} def
	/V
	/v load def
	/y
	{
		2 copy curveto
	} def
	/Y
	/y load def
	/l
	{
		lineto
	} def
	/L
	/l load def
	/m
	{
		moveto
	} def
}
{
	/c
	{
		pl curveto
	} def
	/C
	/c load def
	/v
	{
		currentpoint 6 2 roll pl curveto
	} def
	/V
	/v load def
	/y
	{
		pl 2 copy curveto
	} def
	/Y
	/y load def
	/l
	{
		pl lineto
	} def
	/L
	/l load def
	/m
	{
		pl moveto
	} def
} ifelse
/d
{
	setdash
} def
/cf
{
} def
/i
{
	dup 0 eq
	{
		pop cf
	} if
	setflat
} def
/j
{
	setlinejoin
} def
/J
{
	setlinecap
} def
/M
{
	setmiterlimit
} def
/w
{
	setlinewidth
} def
/XR
{
	0 ne
	/_eo exch ddef
} def
/H
{
} def
/h
{
	closepath
} def
/N
{
	_pola 0 eq
	{
		_doClip 1 eq
		{
			_eo {eoclip} {clip} ifelse /_doClip 0 ddef
		} if
		newpath
	}
	{
		/CRender
		{
			N
		} ddef
	} ifelse
} def
/n
{
	N
} def
/F
{
	_pola 0 eq
	{
		_doClip 1 eq
		{
			gsave _pf grestore _eo {eoclip} {clip} ifelse newpath /_lp /none ddef _fc
			/_doClip 0 ddef
		}
		{
			_pf
		} ifelse
	}
	{
		/CRender
		{
			F
		} ddef
	} ifelse
} def
/f
{
	closepath
	F
} def
/S
{
	_pola 0 eq
	{
		_doClip 1 eq
		{
			gsave _ps grestore _eo {eoclip} {clip} ifelse newpath /_lp /none ddef _sc
			/_doClip 0 ddef
		}
		{
			_ps
		} ifelse
	}
	{
		/CRender
		{
			S
		} ddef
	} ifelse
} def
/s
{
	closepath
	S
} def
/B
{
	_pola 0 eq
	{
		_doClip 1 eq
		gsave F grestore
		{
			gsave S grestore _eo {eoclip} {clip} ifelse newpath /_lp /none ddef _sc
			/_doClip 0 ddef
		}
		{
			S
		} ifelse
	}
	{
		/CRender
		{
			B
		} ddef
	} ifelse
} def
/b
{
	closepath
	B
} def
/W
{
	/_doClip 1 ddef
} def
/*
{
	count 0 ne
	{
		dup type /stringtype eq
		{
			pop
		} if
	} if
	newpath
} def
/u
{
} def
/U
{
} def
/q
{
	_pola 0 eq
	{
		gsave
	} if
} def
/Q
{
	_pola 0 eq
	{
		grestore
	} if
} def
/*u
{
	_pola 1 add /_pola exch ddef
} def
/*U
{
	_pola 1 sub /_pola exch ddef
	_pola 0 eq
	{
		CRender
	} if
} def
/D
{
	pop
} def
/*w
{
} def
/*W
{
} def
/`
{
	/_i save ddef
	clipForward?
	{
		nulldevice
	} if
	6 1 roll 4 npop
	concat pop
	userdict begin
	/showpage
	{
	} def
	0 setgray
	0 setlinecap
	1 setlinewidth
	0 setlinejoin
	10 setmiterlimit
	[] 0 setdash
	/setstrokeadjust where {pop false setstrokeadjust} if
	newpath
	0 setgray
	false setoverprint
} def
/~
{
 end
	_i restore
} def
/O
{
	0 ne
	/_of exch ddef
	/_lp /none ddef
} def
/R
{
	0 ne
	/_os exch ddef
	/_lp /none ddef
} def
/g
{
	/_gf exch ddef
	/_fc
	{
		_lp /fill ne
		{
			_of setoverprint
			_gf setgray
			/_lp /fill ddef
		} if
	} ddef
	/_pf
	{
		_fc
		_eo {eofill} {fill} ifelse
	} ddef
	/_psf
	{
		_fc
		hvashow
	} ddef
	/_pjsf
	{
		_fc
		hvawidthshow
	} ddef
	/_lp /none ddef
} def
/G
{
	/_gs exch ddef
	/_sc
	{
		_lp /stroke ne
		{
			_os setoverprint
			_gs setgray
			/_lp /stroke ddef
		} if
	} ddef
	/_ps
	{
		_sc
		stroke
	} ddef
	/_pss
	{
		_sc
		ss
	} ddef
	/_pjss
	{
		_sc
		jss
	} ddef
	/_lp /none ddef
} def
/k
{
	_cf astore pop
	/_fc
	{
		_lp /fill ne
		{
			_of setoverprint
			_cf aload pop setcmykcolor
			/_lp /fill ddef
		} if
	} ddef
	/_pf
	{
		_fc
		_eo {eofill} {fill} ifelse
	} ddef
	/_psf
	{
		_fc
		hvashow
	} ddef
	/_pjsf
	{
		_fc
		hvawidthshow
	} ddef
	/_lp /none ddef
} def
/K
{
	_cs astore pop
	/_sc
	{
		_lp /stroke ne
		{
			_os setoverprint
			_cs aload pop setcmykcolor
			/_lp /stroke ddef
		} if
	} ddef
	/_ps
	{
		_sc
		stroke
	} ddef
	/_pss
	{
		_sc
		ss
	} ddef
	/_pjss
	{
		_sc
		jss
	} ddef
	/_lp /none ddef
} def
/Xa
{
	_rgbf astore pop
	/_fc
	{
		_lp /fill ne
		{
			_of setoverprint
			_rgbf aload pop setrgbcolor
			/_lp /fill ddef
		} if
	} ddef
	/_pf
	{
		_fc
		_eo {eofill} {fill} ifelse
	} ddef
	/_psf
	{
		_fc
		hvashow
	} ddef
	/_pjsf
	{
		_fc
		hvawidthshow
	} ddef
	/_lp /none ddef
} def
/XA
{
	_rgbs astore pop
	/_sc
	{
		_lp /stroke ne
		{
			_os setoverprint
			_rgbs aload pop setrgbcolor
			/_lp /stroke ddef
		} if
	} ddef
	/_ps
	{
		_sc
		stroke
	} ddef
	/_pss
	{
		_sc
		ss
	} ddef
	/_pjss
	{
		_sc
		jss
	} ddef
	/_lp /none ddef
} def
/_rgbtocmyk
{
3
	{
	1 exch sub 3 1 roll
	} repeat
3 copy 1 4 1 roll
3
	{
	3 index 2 copy gt
		{
		exch
		} if
	pop 4 1 roll
	} repeat
pop pop pop
4 1 roll
3
	{
	3 index sub
	3 1 roll
	} repeat
4 -1 roll
} def
/Xx
{
	exch
	/_gf exch ddef
	0 eq
	{
		findcmykcustomcolor
	}
	{
		/findrgbcustomcolor where not {
			4 1 roll _rgbtocmyk
			5 -1 roll
			findcmykcustomcolor
		}
		{
			pop
			findrgbcustomcolor
		} ifelse
	} ifelse
	/_if exch ddef
	/_fc
	{
		_lp /fill ne
		{
			_of setoverprint
			_if _gf 1 exch sub setcustomcolor
			/_lp /fill ddef
		} if
	} ddef
	/_pf
	{
		_fc
		_eo {eofill} {fill} ifelse
	} ddef
	/_psf
	{
		_fc
		hvashow
	} ddef
	/_pjsf
	{
		_fc
		hvawidthshow
	} ddef
	/_lp /none ddef
} def
/XX
{
	exch
	/_gs exch ddef
	0 eq
	{
		findcmykcustomcolor
	}
	{
		/findrgbcustomcolor where not {
			4 1 roll _rgbtocmyk
			5 -1 roll
			findcmykcustomcolor
		}
		{
			pop
			findrgbcustomcolor
		} ifelse
	} ifelse
	/_is exch ddef
	/_sc
	{
		_lp /stroke ne
		{
			_os setoverprint
			_is _gs 1 exch sub setcustomcolor
			/_lp /stroke ddef
		} if
	} ddef
	/_ps
	{
		_sc
		stroke
	} ddef
	/_pss
	{
		_sc
		ss
	} ddef
	/_pjss
	{
		_sc
		jss
	} ddef
	/_lp /none ddef
} def
/x
{
	/_gf exch ddef
	findcmykcustomcolor
	/_if exch ddef
	/_fc
	{
		_lp /fill ne
		{
			_of setoverprint
			_if _gf 1 exch sub setcustomcolor
			/_lp /fill ddef
		} if
	} ddef
	/_pf
	{
		_fc
		_eo {eofill} {fill} ifelse
	} ddef
	/_psf
	{
		_fc
		hvashow
	} ddef
	/_pjsf
	{
		_fc
		hvawidthshow
	} ddef
	/_lp /none ddef
} def
/X
{
	/_gs exch ddef
	findcmykcustomcolor
	/_is exch ddef
	/_sc
	{
		_lp /stroke ne
		{
			_os setoverprint
			_is _gs 1 exch sub setcustomcolor
			/_lp /stroke ddef
		} if
	} ddef
	/_ps
	{
		_sc
		stroke
	} ddef
	/_pss
	{
		_sc
		ss
	} ddef
	/_pjss
	{
		_sc
		jss
	} ddef
	/_lp /none ddef
} def
/A
{
	pop
} def
/annotatepage
{
userdict /annotatepage 2 copy known {get exec} {pop pop} ifelse
} def
/XT {
	pop pop
} def
/discard
{
	save /discardSave exch store
	discardDict begin
	/endString exch store
	gt38?
	{
		2 add
	} if
	load
	stopped
	pop
 end
	discardSave restore
} bind def
userdict /discardDict 7 dict dup begin
put
/pre38Initialize
{
	/endStringLength endString length store
	/newBuff buffer 0 endStringLength getinterval store
	/newBuffButFirst newBuff 1 endStringLength 1 sub getinterval store
	/newBuffLast newBuff endStringLength 1 sub 1 getinterval store
} def
/shiftBuffer
{
	newBuff 0 newBuffButFirst putinterval
	newBuffLast 0
	currentfile read not
	{
	stop
	} if
	put
} def
0
{
	pre38Initialize
	mark
	currentfile newBuff readstring exch pop
	{
		{
			newBuff endString eq
			{
				cleartomark stop
			} if
			shiftBuffer
		} loop
	}
	{
	stop
	} ifelse
} def
1
{
	pre38Initialize
	/beginString exch store
	mark
	currentfile newBuff readstring exch pop
	{
		{
			newBuff beginString eq
			{
				/layerCount dup load 1 add store
			}
			{
				newBuff endString eq
				{
					/layerCount dup load 1 sub store
					layerCount 0 eq
					{
						cleartomark stop
					} if
				} if
			} ifelse
			shiftBuffer
		} loop
	} if
} def
2
{
	mark
	{
		currentfile buffer readline not
		{
		stop
		} if
		endString eq
		{
			cleartomark stop
		} if
	} loop
} def
3
{
	/beginString exch store
	/layerCnt 1 store
	mark
	{
		currentfile buffer readline not
		{
		stop
		} if
		dup beginString eq
		{
			pop /layerCnt dup load 1 add store
		}
		{
			endString eq
			{
				layerCnt 1 eq
				{
					cleartomark stop
				}
				{
					/layerCnt dup load 1 sub store
				} ifelse
			} if
		} ifelse
	} loop
} def
end
userdict /clipRenderOff 15 dict dup begin
put
{
	/n /N /s /S /f /F /b /B
}
{
	{
		_doClip 1 eq
		{
			/_doClip 0 ddef _eo {eoclip} {clip} ifelse
		} if
		newpath
	} def
} forall
/Tr /pop load def
/Bb {} def
/BB /pop load def
/Bg {12 npop} def
/Bm {6 npop} def
/Bc /Bm load def
/Bh {4 npop} def
end
/Lb
{
	4 npop
	6 1 roll
	pop
	4 1 roll
	pop pop pop
	0 eq
	{
		0 eq
		{
			(%AI5_BeginLayer) 1 (%AI5_EndLayer--) discard
		}
		{
			
			/clipForward? true def
			
			/Tx /pop load def
			/Tj /pop load def
			
			currentdict end clipRenderOff begin begin
		} ifelse
	}
	{
		0 eq
		{
			save /discardSave exch store
		} if
	} ifelse
} bind def
/LB
{
	discardSave dup null ne
	{
		restore
	}
	{
		pop
		clipForward?
		{
			currentdict
		 end
		 end
		 begin
					
			/clipForward? false ddef
		} if
	} ifelse
} bind def
/Pb
{
	pop pop
	0 (%AI5_EndPalette) discard
} bind def
/Np
{
	0 (%AI5_End_NonPrinting--) discard
} bind def
/Ln /pop load def
/Ap
/pop load def
/Ar
{
	72 exch div
	0 dtransform dup mul exch dup mul add sqrt
	dup 1 lt
	{
		pop 1
	} if
	setflat
} def
/Mb
{
	q
} def
/Md
{
} def
/MB
{
	Q
} def
/nc 4 dict def
nc begin
/setgray
{
	pop
} bind def
/setcmykcolor
{
	4 npop
} bind def
/setrgbcolor
{
	3 npop
} bind def
/setcustomcolor
{
	2 npop
} bind def
currentdict readonly pop
end
end
setpacking
%%EndResource
%%BeginResource: procset Adobe_cshow 2.0 8
%%Title: (Writing System Operators)
%%Version: 2.0 8
%%CreationDate: (1/23/89) ()
%%Copyright: ((C) 1992-1996 Adobe Systems Incorporated All Rights Reserved)
currentpacking true setpacking
userdict /Adobe_cshow 14 dict dup begin put
/initialize
{
	Adobe_cshow begin
	Adobe_cshow
	{
		dup xcheck
		{
			bind
		} if
		pop pop
	} forall
 end
	Adobe_cshow begin
} def
/terminate
{
currentdict Adobe_cshow eq
	{
 end
	} if
} def
/cforall
{
	/_lobyte 0 ddef
	/_hibyte 0 ddef
	/_cproc exch ddef
	/_cscript currentfont /FontScript known { currentfont /FontScript get } { -1 } ifelse ddef
	{
		/_lobyte exch ddef
		_hibyte 0 eq
		_cscript 1 eq
		_lobyte 129 ge _lobyte 159 le and
		_lobyte 224 ge _lobyte 252 le and or and
		_cscript 2 eq
		_lobyte 161 ge _lobyte 254 le and and
		_cscript 3 eq
		_lobyte 161 ge _lobyte 254 le and and
    	_cscript 25 eq
		_lobyte 161 ge _lobyte 254 le and and
    	_cscript -1 eq
		or or or or and
		{
			/_hibyte _lobyte ddef
		}
		{
			_hibyte 256 mul _lobyte add
			_cproc
			/_hibyte 0 ddef
		} ifelse
	} forall
} def
/cstring
{
	dup 256 lt
	{
		(s) dup 0 4 3 roll put
	}
	{
		dup 256 idiv exch 256 mod
		(hl) dup dup 0 6 5 roll put 1 4 3 roll put
	} ifelse
} def
/clength
{
	0 exch
	{ 256 lt { 1 } { 2 } ifelse add } cforall
} def
/hawidthshow
{
	{
		dup cstring
		show
		_hvax _hvay rmoveto
		_hvwb eq { _hvcx _hvcy rmoveto } if
	} cforall
} def
/vawidthshow
{
	{
		dup 255 le
		_charorientation 1 eq
		and
		{
			-90 rotate
			0 _fontRotateAdjust rmoveto
			cstring
			_hvcx _hvcy _hvwb _hvax _hvay 6 -1 roll awidthshow
			0 _fontRotateAdjust neg rmoveto
			90 rotate
		}
		{
			currentpoint
			_fontHeight sub
			exch _hvay sub exch _hvax sub
			2 index _hvwb eq { exch _hvcy sub exch _hvcx sub } if
			3 2 roll
			cstring
			dup stringwidth pop 2 div neg _fontAscent neg rmoveto
			show
			moveto
		} ifelse
	} cforall
} def
/hvawidthshow
{
	6 1 roll
	/_hvay exch ddef
	/_hvax exch ddef
	/_hvwb exch ddef
	/_hvcy exch ddef
	/_hvcx exch ddef
	_lineorientation 0 eq { hawidthshow } { vawidthshow } ifelse
} def
/hvwidthshow
{
	0 0 3 -1 roll hvawidthshow
} def
/hvashow
{
	0 0 0 6 -3 roll hvawidthshow
} def
/hvshow
{
	0 0 0 0 0 6 -1 roll hvawidthshow
} def
currentdict readonly pop end
setpacking
%%EndResource
%%EndProlog
%%BeginSetup
%%IncludeFont: Courier
%%IncludeFont: Symbol
Adobe_level2_AI5 /initialize get exec
Adobe_cshow /initialize get exec
Adobe_Illustrator_AI5_vars Adobe_Illustrator_AI5 Adobe_typography_AI5 /initialize get exec
Adobe_ColorImage_AI6 /initialize get exec
Adobe_Illustrator_AI5 /initialize get exec
[
39/quotesingle 96/grave 128/Adieresis/Aring/Ccedilla/Eacute/Ntilde/Odieresis
/Udieresis/aacute/agrave/acircumflex/adieresis/atilde/aring/ccedilla/eacute
/egrave/ecircumflex/edieresis/iacute/igrave/icircumflex/idieresis/ntilde
/oacute/ograve/ocircumflex/odieresis/otilde/uacute/ugrave/ucircumflex
/udieresis/dagger/degree/cent/sterling/section/bullet/paragraph/germandbls
/registered/copyright/trademark/acute/dieresis/.notdef/AE/Oslash
/.notdef/plusminus/.notdef/.notdef/yen/mu/.notdef/.notdef
/.notdef/.notdef/.notdef/ordfeminine/ordmasculine/.notdef/ae/oslash
/questiondown/exclamdown/logicalnot/.notdef/florin/.notdef/.notdef
/guillemotleft/guillemotright/ellipsis/.notdef/Agrave/Atilde/Otilde/OE/oe
/endash/emdash/quotedblleft/quotedblright/quoteleft/quoteright/divide
/.notdef/ydieresis/Ydieresis/fraction/currency/guilsinglleft/guilsinglright
/fi/fl/daggerdbl/periodcentered/quotesinglbase/quotedblbase/perthousand
/Acircumflex/Ecircumflex/Aacute/Edieresis/Egrave/Iacute/Icircumflex
/Idieresis/Igrave/Oacute/Ocircumflex/.notdef/Ograve/Uacute/Ucircumflex
/Ugrave/dotlessi/circumflex/tilde/macron/breve/dotaccent/ring/cedilla
/hungarumlaut/ogonek/caron
TE
%AI55J_Tsume: None
%AI3_BeginEncoding: _Courier Courier
[/_Courier/Courier 0 0 1 TZ
%AI3_EndEncoding AdobeType
%AI55J_Tsume: None
%AI3_BeginEncoding: _Symbol Symbol
[32/space
/exclam
/universal
/numbersign
/existential
/percent
/ampersand
/suchthat
/parenleft
/parenright
/asteriskmath
/plus
/comma
/minus
/period
/slash
/zero
/one
/two
/three
/four
/five
/six
/seven
/eight
/nine
/colon
/semicolon
/less
/equal
/greater
/question
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0.05 0.03 0.95 0 1 50 5 %_Bs
BD
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(C=0 M=0 Y=0 K=0) Pc
0 0 0 1 k
(C=0 M=0 Y=0 K=100) Pc
0 0.45 0.6 0 k
(C=0 M=45 Y=60 K=0) Pc
0 0.5 0.05 0 k
(C=0 M=50 Y=5 K=0) Pc
0 0.9 1 0 k
(C=0 M=90 Y=100 K=0) Pc
1 0.2 1 0 k
(C=100 M=20 Y=100 K=0) Pc
1 0.4 0.15 0 k
(C=100 M=40 Y=15 K=0) Pc
0.2 0 1 0 k
(C=20 M=0 Y=100 K=0) Pc
0.25 1 0.25 0 k
(C=25 M=100 Y=25 K=0) Pc
0.4 0.4 0.4 0 k
(C=40 M=40 Y=40 K=0) Pc
0.4 0.7 1 0 k
(C=40 M=70 Y=100 K=0) Pc
0.75 0.9 0 0 k
(C=75 M=90 Y=0 K=0) Pc
1 0 0.55 0 (Aqua) 0 x
(Aqua) Pc
1 0.5 0 0 (Blue) 0 x
(Blue) Pc
0.5 0.4 0.3 0 (Blue Gray) 0 x
(Blue Gray) Pc
0.8 0.05 0 0 (Blue Sky) 0 x
(Blue Sky) Pc
0.5 0.85 1 0 (Brown) 0 x
(Brown) Pc
1 0.9 0.1 0 (Dark Blue) 0 x
(Dark Blue) Pc
1 0.55 1 0 (Forest Green) 0 x
(Forest Green) Pc
0.05 0.2 0.95 0 (Gold) 0 x
(Gold) Pc
0.75 0.05 1 0 (Grass Green) 0 x
(Grass Green) Pc
0 0.45 1 0 (Orange) 0 x
(Orange) Pc
0.15 1 1 0 (Red) 0 x
(Red) Pc
0.45 0.9 0 0 (Violet) 0 x
(Violet) Pc
Bb
2 (Black, White) -4014 4716 0 0 1 0 0 1 0 0 Bg
0 BB
(Black, White) Pc
Bb
2 (Chrome) -4014 4716 0 0 1 0 0 1 0 0 Bg
0 BB
(Chrome) Pc
Bb
2 (Green, Blue) -4014 4716 0 0 1 0 0 1 0 0 Bg
0 BB
(Green, Blue) Pc
Bb
2 (Orange, Green, Violet) -4014 4716 0 0 1 0 0 1 0 0 Bg
0 BB
(Orange, Green, Violet) Pc
Bb
2 (Pink, Yellow, Green ) -4014 4716 0 0 1 0 0 1 0 0 Bg
0 BB
(Pink, Yellow, Green ) Pc
Bb
2 (Purple, Red, Yellow) -4014 4716 0 0 1 0 0 1 0 0 Bg
0 BB
(Purple, Red, Yellow) Pc
Bb
2 (Rainbow) -4014 4716 0 0 1 0 0 1 0 0 Bg
0 BB
(Rainbow) Pc
Bb
2 (Steel Bar) -4014 4716 0 0 1 0 0 1 0 0 Bg
0 BB
(Steel Bar) Pc
Bb
0 0 0 0 Bh
2 (White & Red Radial) -4014 4716 0 0 1 0 0 1 0 0 Bg
0 BB
(White & Red Radial) Pc
Bb
0 0 0 0 Bh
2 (Yellow & Orange Radial) -4014 4716 0 0 1 0 0 1 0 0 Bg
0 BB
(Yellow & Orange Radial) Pc
Bb
0 0 0 0 Bh
2 (Yellow & Purple Radial) -4014 4716 0 0 1 0 0 1 0 0 Bg
0 BB
(Yellow & Purple Radial) Pc
Bb
2 (Yellow, Violet, Orange, Blue) -4014 4716 0 0 1 0 0 1 0 0 Bg
0 BB
(Yellow, Violet, Orange, Blue) Pc
(Arrow1.2.out/in) 0 0 1 1 0 0 0 0 0 [1 0 0 1 0 0] p
(Arrow1.2.out/in) Pc
(Arrow1.2.side) 0 0 1 1 0 0 0 0 0 [1 0 0 1 0 0] p
(Arrow1.2.side) Pc
(Bricks) 0 0 1 1 0 0 0 0 0 [1 0 0 1 0 0] p
(Bricks) Pc
(Checks) 0 0 1 1 0 0 0 0 0 [1 0 0 1 0 0] p
(Checks) Pc
(Confetti) 0 0 1 1 0 0 0 0 0 [1 0 0 1 0 0] p
(Confetti) Pc
(DblLine1.2.inner) 0 0 1 1 0 0 0 0 0 [1 0 0 1 0 0] p
(DblLine1.2.inner) Pc
(DblLine1.2.outer) 0 0 1 1 0 0 0 0 0 [1 0 0 1 0 0] p
(DblLine1.2.outer) Pc
(DblLine1.2.side) 0 0 1 1 0 0 0 0 0 [1 0 0 1 0 0] p
(DblLine1.2.side) Pc
(Diamonds) 0 0 1 1 0 0 0 0 0 [1 0 0 1 0 0] p
(Diamonds) Pc
(Hexagon) 0 0 1 1 0 0 0 0 0 [1 0 0 1 0 0] p
(Hexagon) Pc
(Laurel.inner) 0 0 1 1 0 0 0 0 0 [1 0 0 1 0 0] p
(Laurel.inner) Pc
(Laurel.outer) 0 0 1 1 0 0 0 0 0 [1 0 0 1 0 0] p
(Laurel.outer) Pc
(Laurel.side) 0 0 1 1 0 0 0 0 0 [1 0 0 1 0 0] p
(Laurel.side) Pc
(Leaves-fall) 0 0 1 1 0 0 0 0 0 [1 0 0 1 0 0] p
(Leaves-fall) Pc
(Polka dots) 0 0 1 1 0 0 0 0 0 [1 0 0 1 0 0] p
(Polka dots) Pc
(Random circles) 0 0 1 1 0 0 0 0 0 [1 0 0 1 0 0] p
(Random circles) Pc
(Rope.side) 0 0 1 1 0 0 0 0 0 [1 0 0 1 0 0] p
(Rope.side) Pc
(Scales) 0 0 1 1 0 0 0 0 0 [1 0 0 1 0 0] p
(Scales) Pc
(SolidStar.side) 0 0 1 1 0 0 0 0 0 [1 0 0 1 0 0] p
(SolidStar.side) Pc
(Stars) 0 0 1 1 0 0 0 0 0 [1 0 0 1 0 0] p
(Stars) Pc
(Stripes) 0 0 1 1 0 0 0 0 0 [1 0 0 1 0 0] p
(Stripes) Pc
(TriBevel.outer) 0 0 1 1 0 0 0 0 0 [1 0 0 1 0 0] p
(TriBevel.outer) Pc
(TriBevel.side) 0 0 1 1 0 0 0 0 0 [1 0 0 1 0 0] p
(TriBevel.side) Pc
(Waves-scroll) 0 0 1 1 0 0 0 0 0 [1 0 0 1 0 0] p
(Waves-scroll) Pc
PB
%AI5_EndPalette
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1 1 1 1 0 0 0 79 128 255 Lb
(Layer 1) Ln
0 A
u
u
u
0 To
1 0 0 1 403.7739 384.4104 0 Tp
0 Tv
TP
0 Tr
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300 Ar
0 J 0 j 1 w 4 M []0 d
%AI3_Note:
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%_ 0 50 XQ
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0 Ts
100 100 Tz
0 Tt
%_0 0 100 100 Xu
%AI55J_GlyphSubst: GlyphSubstNone 
0 TA
%_ 0 XL
0 TY
0 TV
36 0 Xb
XB
0 0 5 TC
100 100 200 TW
25 TG
0 0 0 Ti
0 Ta
0 0 2 2 3 Th
0 Tq
0 Tg
0 0 Tl
0 Tc
0 Tw
(0) Tx 
(\r) TX 
TO
0 R
0 G
1 J 1 j 0.5 w 10 M
389.0715 371.6684 m
415.6848 409.3081 l
389.0715 371.6684 l
S
0 To
1 0 0 1 393.9048 366.8917 0 Tp
0 Tv
TP
0 Tr
0 O
0 g
0 J 0 j 1 w 4 M
(1) Tx 
(\r) TX 
TO
0 R
0 G
1 J 1 j 0.5 w 10 M
389.0715 371.6684 m
389.0715 371.6684 l
S
0 To
1 0 0 1 371.4861 336.4034 0 Tp
0 Tv
TP
0 Tr
0 O
0 g
0 J 0 j 1 w 4 M
(2) Tx 
(\r) TX 
TO
0 R
0 G
1 J 1 j 0.5 w 10 M
351.4318 318.4417 m
389.0715 371.6684 l
351.4318 318.4417 l
S
0 To
1 0 0 1 348.7267 377.453 0 Tp
0 Tv
TP
0 Tr
0 O
0 g
0 J 0 j 1 w 4 M
(3) Tx 
(\r) TX 
TO
0 R
0 G
1 J 1 j 0.5 w 10 M
287.181 318.4417 m
351.4318 318.4417 l
415.6848 409.3081 l
415.6848 473.5588 l
287.181 382.6924 l
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S
0 To
1 0 0 1 291.8477 352.969 0 Tp
0 Tv
TP
0 Tr
0 O
0 g
0 J 0 j 1 w 4 M
(4) Tx 
(\r) TX 
TO
0 R
0 G
1 J 1 j 0.5 w 10 M
287.181 356.0791 m
287.181 356.0791 l
S
0 To
1 0 0 1 290.5961 334.3003 0 Tp
0 Tv
TP
0 Tr
0 O
0 g
0 J 0 j 1 w 4 M
(5) Tx 
(\r) TX 
TO
0 R
0 G
1 J 1 j 0.5 w 10 M
287.181 318.4417 m
287.181 356.0791 l
287.181 318.4417 l
S
0 To
1 0 0 1 288.5011 366.9757 0 Tp
0 Tv
TP
0 Tr
0 O
0 g
0 J 0 j 1 w 4 M
(6) Tx 
(\r) TX 
TO
0 R
0 G
1 J 1 j 0.5 w 10 M
287.181 382.6924 m
287.181 356.0791 l
287.181 382.6924 l
S
0 To
1 0 0 1 253.8915 336.8235 0 Tp
0 Tv
TP
0 Tr
0 O
0 g
0 J 0 j 1 w 4 M
(7) Tx 
(\r) TX 
TO
0 R
0 G
1 J 1 j 0.5 w 10 M
196.3146 318.4417 m
287.181 382.6924 l
287.181 318.4417 l
196.3146 318.4417 l
S
0 To
1 0 0 1 395.9346 338.3605 0 Tp
0 Tv
TP
0 Tr
0 O
0 g
0 J 0 j 1 w 4 M
(8) Tx 
(\r) TX 
TO
0 R
0 G
1 J 1 j 0.5 w 10 M
415.6848 318.4417 m
351.4318 318.4417 l
415.6848 409.3081 l
415.6848 318.4417 l
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U
U
U
800 Ar
2 w
287.181 382.6924 m
287.181 318.4417 l
S
415.6848 409.3081 m
351.4318 318.4417 l
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1 Ap
0 O
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390.8642 369.8721 391.9195 370.9274 391.9195 372.2292 c
391.9195 373.5309 390.8642 374.5862 389.5625 374.5862 c
388.2608 374.5862 387.2055 373.5309 387.2055 372.2292 c
387.2055 370.9274 388.2608 369.8721 389.5625 369.8721 c
f
287.2644 353.8979 m
288.5661 353.8979 289.6214 354.9532 289.6214 356.2549 c
289.6214 357.5566 288.5661 358.6119 287.2644 358.6119 c
285.9627 358.6119 284.9074 357.5566 284.9074 356.2549 c
284.9074 354.9532 285.9627 353.8979 287.2644 353.8979 c
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0 To
1 0 0 1 182 306 0 Tp
0 Tv
TP
0 Tr
0 0 0 1 k
/_Symbol 12 12 -3.516 Tf
1 TA
(\(-1-t,t\)) Tx 1 0 Tk
(\r) TX 
TO
0 To
1 0 0 1 405.3333 306.6667 0 Tp
0 Tv
TP
0 Tr
(\(-t,t\)) Tx 1 0 Tk
(\r) TX 
TO
0 To
1 0 0 1 396.6667 478.6667 0 Tp
0 Tv
TP
0 Tr
(\(-t,0\)) Tx 1 0 Tk
(\r) TX 
TO
LB
%AI5_EndLayer--
%%PageTrailer
gsave annotatepage grestore showpage
%%Trailer
Adobe_Illustrator_AI5 /terminate get exec
Adobe_ColorImage_AI6 /terminate get exec
Adobe_typography_AI5 /terminate get exec
Adobe_cshow /terminate get exec
Adobe_level2_AI5 /terminate get exec
%%EOF

%%EndDocument
 @endspecial 515 1955 a Fu(Figure)31 b(10:)46 b(Example)31
b(I)r(I:)i(lev)n(el-\()p Fs(\000)p Fu(1\))e(return)h(map)g(partition.)
50 b(The)33 b(domains)e(3,)i(7,)g(8)515 2055 y(are)26
b(op)r(en)i(p)r(olygons;)e(0)p Fq(;)14 b Fu(2)p Fq(;)g
Fu(5)p Fq(;)g Fu(6)26 b(are)g(op)r(en)i(line)g(segmen)n(ts;)f(1)p
Fq(;)14 b Fu(4)26 b(are)h(p)r(oin)n(ts.)634 4519 y @beginspecial
152 @llx 299 @lly 467 @urx 503 @ury 3150 @rwi @setspecial
%%BeginDocument: fig.ExampleII.3.eps
%!PS-Adobe-3.0 EPSF-3.0
%%Creator: Adobe Illustrator(TM) 3.2
%%AI8_CreatorVersion: 10.0
%%For: (John H. Lowenstein) (New York University)
%%Title: (fig.ExampleII.3.eps)
%%CreationDate: 3/21/02 6:16 PM
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%%DocumentProcessColors: Black
%%DocumentFonts: Courier
%%+ Helvetica
%%+ Symbol
%%DocumentNeededFonts: Courier
%%+ Helvetica
%%+ Symbol
%%DocumentSuppliedResources: procset Adobe_packedarray 2.0 0
%%+ procset Adobe_cshow 1.1 0
%%+ procset Adobe_customcolor 1.0 0
%%+ procset Adobe_typography_AI3 1.0 1
%%+ procset Adobe_pattern_AI3 1.0 0
%%+ procset Adobe_Illustrator_AI3 1.0 1
%AI3_ColorUsage: Color
%AI3_IncludePlacedImages
%AI3_TemplateBox: 306.5 395.5 306.5 395.5
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%AI7_GridSettings: 72 8 72 8 1 0 0.8 0.8 0.8 0.9 0.9 0.9
%AI9_Flatten: 1
%%EndComments
%%BeginProlog
%%BeginResource: procset Adobe_packedarray 2.0 0
%%Title: (Packed Array Operators)
%%Version: 2.0 0
%%CreationDate: (8/2/90) ()
%%Copyright: ((C) 1987-1996 Adobe Systems Incorporated All Rights Reserved)
userdict /Adobe_packedarray 5 dict dup begin put
/initialize
{
/packedarray where
	{
	pop
	}
	{
	Adobe_packedarray begin
	Adobe_packedarray
		{
		dup xcheck
			{
			bind
			} if
		userdict 3 1 roll put
		} forall
 end
	} ifelse
} def
/terminate
{
} def
/packedarray
{
array astore readonly
} def
/setpacking
{
pop
} def
/currentpacking
{
false
} def
currentdict readonly pop end
%%EndResource
Adobe_packedarray /initialize get exec
%%BeginResource: procset Adobe_cshow 1.1 0
%%Title: (cshow Operator)
%%Version: 1.1 0
%%CreationDate: (1/23/89) ()
%%Copyright: ((C) 1987-1996 Adobe Systems Incorporated All Rights Reserved)
currentpacking true setpacking
userdict /Adobe_cshow 3 dict dup begin put
/initialize
{
/cshow where
	{
	pop
	}
	{
	userdict /Adobe_cshow_vars 1 dict dup begin put
	/_cshow
		{} def
	Adobe_cshow begin
	Adobe_cshow
		{
		dup xcheck
			{
			bind
			} if
		userdict 3 1 roll put
		} forall
 end
 end
	} ifelse
} def
/terminate
{
} def
/cshow
{
exch
Adobe_cshow_vars
	exch /_cshow
	exch put
	{
	0 0 Adobe_cshow_vars /_cshow get exec
	} forall
} def
currentdict readonly pop end
setpacking
%%EndResource
%%BeginResource: procset Adobe_customcolor 1.0 0
%%Title: (Custom Color Operators)
%%Version: 1.0 0
%%CreationDate: (5/9/88) ()
%%Copyright: ((C) 1987-1996 Adobe Systems Incorporated All Rights Reserved)
currentpacking true setpacking
userdict /Adobe_customcolor 5 dict dup begin put
/initialize
{
/setcustomcolor where
	{
	pop
	}
	{
	Adobe_customcolor begin
	Adobe_customcolor
		{
		dup xcheck
			{
			bind
			} if
		pop pop
		} forall
 end
	Adobe_customcolor begin
	} ifelse
} def
/terminate
{
currentdict Adobe_customcolor eq
	{
 end
	} if
} def
/findcmykcustomcolor
{
5 packedarray
}  def
/setcustomcolor
{
exch
aload pop pop
4
	{
	4 index mul 4 1 roll
	} repeat
5 -1 roll pop
setcmykcolor
} def
/setoverprint
{
pop
} def
currentdict readonly pop end
setpacking
%%EndResource
%%BeginResource: procset Adobe_typography_AI3 2.0 0
%%Title: (Typography Operators)
%%Version: 2.0 0
%%CreationDate:(5/31/90) ()
%%Copyright: ((C) 1987-1996 Adobe Systems Incorporated All Rights Reserved)
currentpacking true setpacking
userdict /Adobe_typography_AI3 48 dict dup begin put
/initialize
{
/TZ
 where
	{
	pop
	}
	{
	Adobe_typography_AI3 begin
	Adobe_typography_AI3
		{
		dup xcheck
			{
			bind
			} if
		pop pop
		} forall
 end
	Adobe_typography_AI3 begin
	} ifelse
} def
/terminate
{
currentdict Adobe_typography_AI3 eq
	{
 end
	} if
} def
/modifyEncoding
{
	/_tempEncode exch ddef
	
	/_pntr 0 ddef
	
	{
		counttomark -1 roll
		dup type dup /marktype eq 		
		{
			pop pop exit
		}
		{
			/nametype eq
			{
				_tempEncode /_pntr dup load dup 3 1 roll 1 add ddef 3 -1 roll
				put
			}
			{
				/_pntr exch ddef					
			}
			ifelse
		}
		ifelse
	}
	loop	
	
	_tempEncode
}
def
/TE
{
	StandardEncoding 256 array copy modifyEncoding 
	/_nativeEncoding exch def
} def
%
/TZ		
{
	dup type /arraytype eq {/_wv exch def} {/_wv 0 def} ifelse 
	/_useNativeEncoding exch def
	pop pop
	
	findfont _wv type /arraytype eq {_wv makeblendedfont} if dup length 2 add dict
	
 begin
	
		mark exch
		{
			1 index /FID ne { def } if cleartomark mark
		}
		forall
		pop
		
		/FontName exch def
		
		counttomark 0 eq
		{
			1 _useNativeEncoding eq
			{
				/Encoding _nativeEncoding def
			}
			if
			cleartomark
		}
		{	
			/Encoding load 256 array copy 
			modifyEncoding /Encoding exch def
		}
		ifelse		
		FontName currentdict
 end
	
	definefont pop
}
def
/tr
{
_ax _ay 3 2 roll
} def
/trj
{
_cx _cy _sp _ax _ay 6 5 roll
} def
/a0
{
/Tx
	{
	dup 
	currentpoint 3 2 roll
	tr _psf
	newpath moveto
	tr _ctm _pss
	} ddef
/Tj
	{
	dup
	currentpoint 3 2 roll
	trj _pjsf
	newpath moveto
	trj _ctm _pjss
	} ddef
	
} def
/a1
{
/Tx
	{
	dup currentpoint 4 2 roll gsave
	dup currentpoint 3 2 roll
	tr _psf
	newpath moveto
	tr _ctm _pss
	grestore 3 1 roll moveto tr sp
	} ddef
/Tj
	{
	dup currentpoint 4 2 roll gsave
	dup currentpoint 3 2 roll
	trj _pjsf
	newpath moveto
	trj _ctm _pjss
	grestore 3 1 roll moveto tr sp
	} ddef
	
} def
/e0
{
/Tx
	{
	tr _psf
	} ddef
/Tj
	{
	trj _pjsf
	} ddef
} def
/e1
{
/Tx
	{
	dup currentpoint 4 2 roll gsave 
	tr _psf  
	grestore 3 1 roll moveto tr sp 
	} ddef
/Tj
	{
	dup currentpoint 4 2 roll gsave 
	trj _pjsf
	grestore 3 1 roll moveto tr sp 
	} ddef
} def
/i0
{
/Tx
	{
	tr sp
	} ddef
/Tj
	{
	trj jsp
	} ddef
} def
/i1
{
W N
} def
/o0
{
/Tx
	{
	tr sw rmoveto
	} ddef
/Tj
	{
	trj swj rmoveto
	} ddef
} def
/r0
{
/Tx
	{
	tr _ctm _pss
	} ddef
/Tj
	{
	trj _ctm _pjss
	} ddef
} def
/r1
{
/Tx
	{
	dup currentpoint 4 2 roll currentpoint gsave newpath moveto
	tr _ctm _pss 
	grestore 3 1 roll moveto tr sp 
	} ddef
/Tj
	{
	dup currentpoint 4 2 roll currentpoint gsave newpath moveto
	trj _ctm _pjss
	grestore 3 1 roll moveto tr sp 
	} ddef
} def
/To
{
	pop _ctm currentmatrix pop
} def
/TO
{
	iTe _ctm setmatrix newpath
} def
/Tp
{
	pop _tm astore pop _ctm setmatrix 
	_tDict begin /W {} def /h {} def
} def
/TP
{
 end
	iTm 0 0 moveto
} def
/Tr
{
	_render 3 le {currentpoint newpath moveto} if
	dup 8 eq {pop 0} {dup 9 eq {pop 1} if} ifelse
	dup /_render exch ddef
	_renderStart exch get load exec
} def
/iTm
{
_ctm setmatrix _tm concat 0 _rise translate _hs 1 scale
} def
/Tm
{
_tm astore pop iTm 0 0 moveto
} def
/Td
{
_mtx translate _tm _tm concatmatrix pop iTm 0 0 moveto
} def
/iTe
{
	_render -1 eq {} {_renderEnd _render get dup null ne {load exec} {pop} ifelse} ifelse
	/_render -1 ddef
} def
/Ta
{
pop
} def
/Tf
{
dup 1000 div /_fScl exch ddef
exch findfont exch scalefont setfont
} def
/Tl
{
pop
0 exch _leading astore pop
} def
/Tt
{
pop
} def
/TW
{
3 npop
} def
/Tw
{
/_cx exch ddef
} def
/TC
{
3 npop
} def
/Tc
{
/_ax exch ddef
} def
/Ts
{
/_rise exch ddef
currentpoint
iTm
moveto
} def
/Ti
{
3 npop
} def
/Tz
{
100 div /_hs exch ddef
iTm
} def
/TA
{
pop
} def
/Tq
{
pop
} def
/Th
{
pop pop pop pop pop
} def
/TX {pop} def
%/Tx
%/Tj
/Tk
{
exch pop _fScl mul neg 0 rmoveto
} def
/TK
{
2 npop
} def
/T*
{
_leading aload pop neg Td
} def
/T*-
{
_leading aload pop Td
} def
/T-
{
_hyphen Tx
} def
/T+
{} def
/TR
{
_ctm currentmatrix pop 	
_tm astore pop 
iTm 0 0 moveto 
} def
/TS
{
0 eq {Tx} {Tj} ifelse
} def
currentdict readonly pop end
setpacking
%%EndResource
%%BeginResource: procset Adobe_pattern_AI3 1.1 0
%%Title: (Adobe Illustrator (R) Version 3.0 Pattern Operators)
%%Version: 1.1 0
%%CreationDate: (7/21/89) ()
%%Copyright: ((C) 1987-1996 Adobe Systems Incorporated All Rights Reserved)
currentpacking true setpacking
userdict /Adobe_pattern_AI3 16 dict dup begin put
/initialize
{
/definepattern where
	{
	pop
	}
	{
	Adobe_pattern_AI3 begin
	Adobe_pattern_AI3
		{
		dup xcheck
			{
			bind
			} if
		pop pop
		} forall
	mark
	cachestatus 7 1 roll pop pop pop pop exch pop exch
		{
		{
		10000 add
		dup 2 index gt
			{
			exit
			} if
		dup setcachelimit
		} loop
		} stopped
	cleartomark
	} ifelse
} def
/terminate
{
currentdict Adobe_pattern_AI3 eq
	{
 end
	} if
} def
errordict
/nocurrentpoint
{
pop
stop
} put
errordict
/invalidaccess
{
pop
stop
} put
/patternencoding
256 array def
0 1 255
{
patternencoding exch ( ) 2 copy exch 0 exch put cvn put
} for
/definepattern
{
17 dict begin
/uniform exch def
/cache exch def
/key exch def
/procarray exch def
/mtx exch matrix invertmatrix def
/height exch def
/width exch def
/ctm matrix currentmatrix def
/ptm matrix def
/str 32 string def
/slice 9 dict def
slice /s 1 put
slice /q 256 procarray length div sqrt floor cvi put
slice /b 0 put
/FontBBox [0 0 0 0] def
/FontMatrix mtx matrix copy def
/Encoding patternencoding def
/FontType 3 def
/BuildChar
	{
	exch
 begin
	/setstrokeadjust where {pop true setstrokeadjust} if
	slice begin
	dup q dup mul mod s idiv /i exch def
	dup q dup mul mod s mod /j exch def
	q dup mul idiv procarray exch get
	/xl j width s div mul def
	/xg j 1 add width s div mul def
	/yl i height s div mul def
	/yg i 1 add height s div mul def
	uniform
		{
		1 1
		}
		{
		width 0 dtransform
		dup mul exch dup mul add sqrt dup 1 add exch div
		0 height dtransform
		dup mul exch dup mul add sqrt dup 1 add exch div
		} ifelse
	width 0 cache
		{
		xl 4 index mul yl 4 index mul xg 6 index mul yg 6 index mul
		setcachedevice
		}
		{
		setcharwidth
		} ifelse
	gsave
	scale
	newpath
	xl yl moveto
	xg yl lineto
	xg yg lineto
	xl yg lineto
	closepath
	clip
	newpath
 end
 end
	exec
	grestore
	} def
key currentdict definefont
end
} def
/patterncachesize
{
gsave
newpath
0 0 moveto
width 0 lineto
width height lineto
0 height lineto
closepath
patternmatrix setmatrix
pathbbox
exch ceiling 4 -1 roll floor sub 3 1 roll
ceiling exch floor sub
mul 1 add
grestore
} def
/patterncachelimit
{
cachestatus 7 1 roll 6 npop 8 mul
} def
/patternpath
{
exch dup begin setfont
ctm setmatrix
concat
slice exch /b exch slice /q get dup mul mul put
FontMatrix concat
uniform
	{
	width 0 dtransform round width div exch round width div exch
	0 height dtransform round height div exch height div exch
	0 0 transform round exch round exch
	ptm astore setmatrix
	}
	{
	ptm currentmatrix pop
	} ifelse
{currentpoint} stopped not
	{
	2 npop
	pathbbox
	true
	4 index 3 index eq
	4 index 3 index eq
	and
		{
		pop false
			{
			{2 npop}
			{3 npop true}
			{7 npop true}
			{pop true}
			pathforall
			} stopped
			{
			5 npop true
			} if
		} if
		{
		height div ceiling height mul 4 1 roll
		width div ceiling width mul 4 1 roll
		height div floor height mul 4 1 roll
		width div floor width mul 4 1 roll
		2 index sub height div ceiling cvi exch
		3 index sub width div ceiling cvi exch
		4 2 roll moveto
		FontMatrix mtx invertmatrix
		dup dup 4 get exch 5 get rmoveto
		ptm ptm concatmatrix pop
		slice /s
		patterncachesize patterncachelimit div ceiling sqrt ceiling cvi
		dup slice /q get gt
			{
			pop slice /q get
			} if
		put
		0 1 slice /s get dup mul 1 sub
			{
			slice /b get add
			gsave
			0 1 str length 1 sub
				{
				str exch 2 index put
				} for
			pop
			dup
				{
				gsave
				ptm setmatrix
				1 index str length idiv {str show} repeat
				1 index str length mod str exch 0 exch getinterval show
				grestore
				0 height rmoveto
				} repeat
			grestore
			} for
		2 npop
		}
		{
		4 npop
		} ifelse
	} if
end
} def
/patternclip
{
clip
} def
/patternstrokepath
{
strokepath
} def
/patternmatrix
matrix def
/patternfill
{
dup type /dicttype eq
	{
	Adobe_pattern_AI3 /patternmatrix get
	} if
gsave
patternclip
Adobe_pattern_AI3 /patternpath get exec
grestore
newpath
} def
/patternstroke
{
dup type /dicttype eq
	{
	Adobe_pattern_AI3 /patternmatrix get
	} if
gsave
patternstrokepath
true
	{
		{
			{
			newpath 
			moveto
			}
			{
			lineto
			}
			{
			curveto
			}
			{
			closepath
			3 copy
			Adobe_pattern_AI3 /patternfill get exec
			} pathforall
		3 npop
		} stopped
			{
			5 npop
			patternclip
			Adobe_pattern_AI3 /patternfill get exec
			} if
	}
	{
	patternclip
	Adobe_pattern_AI3 /patternfill get exec
	} ifelse
grestore
newpath
} def
/patternashow
{
3 index type /dicttype eq
	{
	Adobe_pattern_AI3 /patternmatrix get 4 1 roll
	} if
	{
	2 npop (0) exch
	2 copy 0 exch put pop
	gsave
	false charpath currentpoint
	6 index 6 index 6 index
	Adobe_pattern_AI3 /patternfill get exec
	grestore
	newpath moveto
	2 copy rmoveto
	} exch cshow
5 npop
} def
/patternawidthshow
{
6 index type /dicttype eq
	{
	Adobe_pattern_AI3 /patternmatrix get 7 1 roll
	} if
	{
	2 npop (0) exch
	2 copy 0 exch put 
	gsave
	_sp eq {5 index 5 index rmoveto} if
	false charpath currentpoint
	9 index 9 index 9 index
	Adobe_pattern_AI3 /patternfill get exec
	grestore
	newpath moveto
	2 copy rmoveto
	} exch cshow
8 npop
} def
/patternashowstroke
{
4 index type /dicttype eq
	{
	patternmatrix /patternmatrix get 5 1 roll
	} if
4 1 roll
	{
	2 npop (0) exch
	2 copy 0 exch put pop
	gsave
	false charpath
	currentpoint
	4 index setmatrix
	7 index 7 index 7 index
	Adobe_pattern_AI3 /patternstroke get exec
	grestore
	newpath moveto
	2 copy rmoveto
	} exch cshow
6 npop
} def
/patternawidthshowstroke
{
7 index type /dicttype eq
	{
	patternmatrix /patternmatrix get 8 1 roll
	} if
7 1 roll
	{
	2 npop (0) exch
	2 copy 0 exch put
	gsave
	_sp eq {5 index 5 index rmoveto} if
	false charpath currentpoint
	7 index setmatrix
	10 index 10 index 10 index
	Adobe_pattern_AI3 /patternstroke get exec
	grestore
	newpath moveto
	2 copy rmoveto
	} exch cshow
9 npop
} def
currentdict readonly pop end
setpacking
%%EndResource
%%BeginResource: procset Adobe_Illustrator_AI3 1.1 0
%%Title: (Adobe Illustrator (R) Version 3.0 Full Prolog)
%%Version: 1.1 0
%%CreationDate: (3/7/1994) ()
%%Copyright: ((C) 1987-1996 Adobe Systems Incorporated All Rights Reserved)
currentpacking true setpacking
userdict /Adobe_Illustrator_AI3 71 dict dup begin put
/initialize
{
userdict /Adobe_Illustrator_AI3_vars 67 dict dup begin put
/_lp /none def
/_pf {} def
/_ps {} def
/_psf {} def
/_pss {} def
/_pjsf {} def
/_pjss {} def
/_pola 0 def
/_doClip 0 def
/cf	currentflat def
/_tm matrix def
/_renderStart [/e0 /r0 /a0 /o0 /e1 /r1 /a1 /i0] def 
/_renderEnd [null null null null /i1 /i1 /i1 /i1] def
/_render -1 def
/_rise 0 def
/_ax 0 def
/_ay 0 def
/_cx 0 def
/_cy 0 def
/_leading [0 0] def
/_ctm matrix def
/_mtx matrix def
/_sp 16#020 def
/_hyphen (-) def
/_fScl 0 def
/_cnt 0 def
/_hs 1 def
/_nativeEncoding 0 def
/_useNativeEncoding 0 def
/_tempEncode 0 def
/_pntr 0 def
/_tDict 2 dict def
/_wv 0 def
/Tx {} def
/Tj {} def
/CRender {} def
/_AI3_savepage {} def
/_gf null def
/_cf 4 array def
/_if null def
/_of false def
/_fc {} def
/_gs null def
/_cs 4 array def
/_is null def
/_os false def
/_sc {} def
/_pd 1 dict def
/_ed 15 dict def
/_pm matrix def
/_fm null def
/_fd null def
/_fdd null def
/_sm null def
/_sd null def
/_sdd null def
/_i null def
Adobe_Illustrator_AI3 begin
Adobe_Illustrator_AI3 dup /nc get begin
	{
	dup xcheck
		{
		bind
		} if
	pop pop
	} forall
end
end
end
Adobe_Illustrator_AI3 begin
Adobe_Illustrator_AI3_vars begin
newpath
} def
/terminate
{
end
end
} def
/_
null def
/ddef
{
Adobe_Illustrator_AI3_vars 3 1 roll put
} def
/xput
{
dup load dup length exch maxlength eq
	{
	dup dup load dup
	length 2 mul dict copy def
	} if
load begin def end
} def
/npop
{
	{
	pop
	} repeat
} def
/sw
{
dup length exch stringwidth
exch 5 -1 roll 3 index mul add
4 1 roll 3 1 roll mul add
} def
/swj
{
dup 4 1 roll
dup length exch stringwidth 
exch 5 -1 roll 3 index mul add
4 1 roll 3 1 roll mul add 
6 2 roll /_cnt 0 ddef
{1 index eq {/_cnt _cnt 1 add ddef} if} forall pop
exch _cnt mul exch _cnt mul 2 index add 4 1 roll 2 index add 4 1 roll pop pop
} def
/ss
{
4 1 roll
	{
	2 npop 
	(0) exch 2 copy 0 exch put pop
	gsave
	false charpath currentpoint
	4 index setmatrix
	stroke
	grestore
	moveto
	2 copy rmoveto
	} exch cshow
3 npop
} def
/jss
{
4 1 roll
	{
	2 npop 
	(0) exch 2 copy 0 exch put 
	gsave
	_sp eq 
		{
		exch 6 index 6 index 6 index 5 -1 roll widthshow  
		currentpoint
		}
		{
		false charpath currentpoint
		4 index setmatrix stroke
		}ifelse
	grestore
	moveto
	2 copy rmoveto
	} exch cshow
6 npop
} def
/sp
{
	{
	2 npop (0) exch
	2 copy 0 exch put pop
	false charpath
	2 copy rmoveto
	} exch cshow
2 npop
} def
/jsp
{
	{
	2 npop 
	(0) exch 2 copy 0 exch put 
	_sp eq 
		{
		exch 5 index 5 index 5 index 5 -1 roll widthshow  
		}
		{
		false charpath
		}ifelse
	2 copy rmoveto
	} exch cshow
5 npop
} def
/pl
{
transform
0.25 sub round 0.25 add exch
0.25 sub round 0.25 add exch
itransform
} def
/setstrokeadjust where
	{
	pop true setstrokeadjust
	/c
	{
	curveto
	} def
	/C
	/c load def
	/v
	{
	currentpoint 6 2 roll curveto
	} def
	/V
	/v load def
	/y
	{
	2 copy curveto
	} def
	/Y
	/y load def
	/l
	{
	lineto
	} def
	/L
	/l load def
	/m
	{
	moveto
	} def
	}
	{
	/c
	{
	pl curveto
	} def
	/C
	/c load def
	/v
	{
	currentpoint 6 2 roll pl curveto
	} def
	/V
	/v load def
	/y
	{
	pl 2 copy curveto
	} def
	/Y
	/y load def
	/l
	{
	pl lineto
	} def
	/L
	/l load def
	/m
	{
	pl moveto
	} def
	} ifelse
/d
{
setdash
} def
/cf	{} def
/i
{
dup 0 eq
	{
	pop cf
	} if
setflat
} def
/j
{
setlinejoin
} def
/J
{
setlinecap
} def
/M
{
setmiterlimit
} def
/w
{
setlinewidth
} def
/H
{} def
/h
{
closepath
} def
/N
{
_pola 0 eq 
	{
	_doClip 1 eq {clip /_doClip 0 ddef} if 
	newpath
	} 
	{
	/CRender {N} ddef
	}ifelse
} def
/n
{N} def
/F
{
_pola 0 eq 
	{
	_doClip 1 eq 
		{
		gsave _pf grestore clip newpath /_lp /none ddef _fc 
		/_doClip 0 ddef
		}
		{
		_pf
		}ifelse
	} 
	{
	/CRender {F} ddef
	}ifelse
} def
/f
{
closepath
F
} def
/S
{
_pola 0 eq 
	{
	_doClip 1 eq 
		{
		gsave _ps grestore clip newpath /_lp /none ddef _sc 
		/_doClip 0 ddef
		}
		{
		_ps
		}ifelse
	} 
	{
	/CRender {S} ddef
	}ifelse
} def
/s
{
closepath
S
} def
/B
{
_pola 0 eq 
	{
	_doClip 1 eq
	gsave F grestore 
		{
		gsave S grestore clip newpath /_lp /none ddef _sc
		/_doClip 0 ddef
		} 
		{
		S
		}ifelse
	}
	{
	/CRender {B} ddef
	}ifelse
} def
/b
{
closepath
B
} def
/W
{
/_doClip 1 ddef
} def
/*
{
count 0 ne 
	{
	dup type (stringtype) eq {pop} if
	} if 
_pola 0 eq {newpath} if
} def
/u
{} def
/U
{} def
/q
{
_pola 0 eq {gsave} if
} def
/Q
{
_pola 0 eq {grestore} if
} def
/*u
{
_pola 1 add /_pola exch ddef
} def
/*U
{
_pola 1 sub /_pola exch ddef 
_pola 0 eq {CRender} if
} def
/D
{pop} def
/*w
{} def
/*W
{} def
/`
{
/_i save ddef
6 1 roll 4 npop
concat pop
userdict begin
/showpage {} def
0 setgray
0 setlinecap
1 setlinewidth
0 setlinejoin
10 setmiterlimit
[] 0 setdash
/setstrokeadjust where {pop false setstrokeadjust} if
newpath
0 setgray
false setoverprint
} def
/~
{
end
_i restore
} def
/@
{} def
/&
{} def
/O
{
0 ne
/_of exch ddef
/_lp /none ddef
} def
/R
{
0 ne
/_os exch ddef
/_lp /none ddef
} def
/g
{
/_gf exch ddef
/_fc
{
_lp /fill ne
	{
	_of setoverprint
	_gf setgray
	/_lp /fill ddef
	} if
} ddef
/_pf
{
_fc
fill
} ddef
/_psf
{
_fc
ashow
} ddef
/_pjsf
{
_fc
awidthshow
} ddef
/_lp /none ddef
} def
/G
{
/_gs exch ddef
/_sc
{
_lp /stroke ne
	{
	_os setoverprint
	_gs setgray
	/_lp /stroke ddef
	} if
} ddef
/_ps
{
_sc
stroke
} ddef
/_pss
{
_sc
ss
} ddef
/_pjss
{
_sc
jss
} ddef
/_lp /none ddef
} def
/k
{
_cf astore pop
/_fc
{
_lp /fill ne
	{
	_of setoverprint
	_cf aload pop setcmykcolor
	/_lp /fill ddef
	} if
} ddef
/_pf
{
_fc
fill
} ddef
/_psf
{
_fc
ashow
} ddef
/_pjsf
{
_fc
awidthshow
} ddef
/_lp /none ddef
} def
/K
{
_cs astore pop
/_sc
{
_lp /stroke ne
	{
	_os setoverprint
	_cs aload pop setcmykcolor
	/_lp /stroke ddef
	} if
} ddef
/_ps
{
_sc
stroke
} ddef
/_pss
{
_sc
ss
} ddef
/_pjss
{
_sc
jss
} ddef
/_lp /none ddef
} def
/x
{
/_gf exch ddef
findcmykcustomcolor
/_if exch ddef
/_fc
{
_lp /fill ne
	{
	_of setoverprint
	_if _gf 1 exch sub setcustomcolor
	/_lp /fill ddef
	} if
} ddef
/_pf
{
_fc
fill
} ddef
/_psf
{
_fc
ashow
} ddef
/_pjsf
{
_fc
awidthshow
} ddef
/_lp /none ddef
} def
/X
{
/_gs exch ddef
findcmykcustomcolor
/_is exch ddef
/_sc
{
_lp /stroke ne
	{
	_os setoverprint
	_is _gs 1 exch sub setcustomcolor
	/_lp /stroke ddef
	} if
} ddef
/_ps
{
_sc
stroke
} ddef
/_pss
{
_sc
ss
} ddef
/_pjss
{
_sc
jss
} ddef
/_lp /none ddef
} def
/dp
{
dup null eq
{
pop
_dp 0 ne
	{
	0 1 _dp 1 sub _dl mod
		{
		_da exch get 3 get
		} for
	_dp 1 sub _dl mod 1 add packedarray
	_da 0 get aload pop 8 -1 roll 5 -1 roll pop 4 1 roll
	definepattern pop
	} if
}
{
_dp 0 ne _dp _dl mod 0 eq and
	{
	null dp
	} if
7 packedarray _da exch _dp _dl mod exch put
_dp _dl mod _da 0 get 4 get 2 packedarray
/_dp _dp 1 add def
} ifelse
} def
/E
{
_ed begin
dup 0 get type /arraytype ne
	{
	0
		{
		dup 1 add index type /arraytype eq
			{
			1 add
			}
			{
			exit
			} ifelse
		} loop
	array astore
	} if
/_dd exch def
/_ury exch def
/_urx exch def
/_lly exch def
/_llx exch def
/_n exch def
/_y 0 def
/_dl 4 def
/_dp 0 def
/_da _dl array def
0 1 _dd length 1 sub
	{
	/_d exch _dd exch get def
	0 2 _d length 2 sub
		{
		/_x exch def
		/_c _d _x get _ ne def
		/_r _d _x 1 add get cvlit def
		_r _ ne
			{
			_urx _llx sub _ury _lly sub [1 0 0 1 0 0] 
				[
				/save cvx
				_llx neg _lly neg /translate cvx
				_c
					{
					nc /begin cvx
					} if
				_r dup type /stringtype eq
					{
					cvx
					}
					{
					{exec} /forall cvx
					} ifelse
				_c
					{
					/end cvx
					} if
				/restore cvx
				] cvx
			/_fn 12 _n length add string def
			_y _fn cvs pop
			/_y _y 1 add def
			_fn 12 _n putinterval
			_fn _c false dp
			_d exch _x 1 add exch put
			} if
		} for
	} for
null dp
_n _dd /_pd
end xput
} def
/fc
{
_fm dup concatmatrix pop
} def
/p
{
/_fm exch ddef
9 -2 roll _pm translate fc
7 -2 roll _pm scale fc
5 -1 roll _pm rotate fc
4 -2 roll exch 0 ne
	{
	dup _pm rotate fc
	1 -1 _pm scale fc
	neg _pm rotate fc
	}
	{
	pop
	} ifelse
dup _pm rotate fc
exch dup sin exch cos div 1 0 0 1 0 6 2 roll
_pm astore fc
neg _pm rotate fc
_pd exch get /_fdd exch ddef
/_pf
{
save
/_doClip 0 ddef
0 1 _fdd length 1 sub
	{
	/_fd exch _fdd exch get ddef
	_fd
	0 2 _fd length 2 sub
		{
		gsave
		2 copy get dup _ ne
			{
			cvx exec _fc
			}
			{
			pop
			} ifelse
		2 copy 1 add get dup _ ne
			{
			aload pop findfont _fm
			patternfill
			}
			{
			pop
			fill
			} ifelse
		grestore
		pop
		} for
	pop
	} for
restore
newpath
} ddef
/_psf
{
save
/_doClip 0 ddef
0 1 _fdd length 1 sub
	{
	/_fd exch _fdd exch get ddef
	_fd
	0 2 _fd length 2 sub
		{
		gsave
		2 copy get dup _ ne
			{
			cvx exec _fc
			}
			{
			pop
			} ifelse
		2 copy 1 add get dup _ ne
			{
			aload pop findfont _fm
			9 copy 6 npop patternashow
			}
			{
			pop
			6 copy 3 npop ashow
			} ifelse
		grestore
		pop
		} for
	pop
	} for
restore
%3 npop newpath
sw rmoveto
} ddef
/_pjsf
{
save
/_doClip 0 ddef
0 1 _fdd length 1 sub
	{
	/_fd exch _fdd exch get ddef
	_fd
	0 2 _fd length 2 sub
		{
		gsave
		2 copy get dup _ ne
			{
			cvx exec _fc
			}
			{
			pop
			} ifelse
		2 copy 1 add get dup _ ne
			{
			aload pop findfont _fm
			12 copy 6 npop patternawidthshow
			}
			{
			pop 9 copy 3 npop awidthshow
			} ifelse
		grestore
		pop
		} for
	pop
	} for
restore
swj rmoveto
} ddef
/_lp /none ddef
} def
/sc
{
_sm dup concatmatrix pop
} def
/P
{
/_sm exch ddef
9 -2 roll _pm translate sc
7 -2 roll _pm scale sc
5 -1 roll _pm rotate sc
4 -2 roll exch 0 ne
	{
	dup _pm rotate sc
	1 -1 _pm scale sc
	neg _pm rotate sc
	}
	{
	pop
	} ifelse
dup _pm rotate sc
exch dup sin exch cos div 1 0 0 1 0 6 2 roll
_pm astore sc
neg _pm rotate sc
_pd exch get /_sdd exch ddef
/_ps
{
save
/_doClip 0 ddef
0 1 _sdd length 1 sub
	{
	/_sd exch _sdd exch get ddef
	_sd
	0 2 _sd length 2 sub
		{
		gsave
		2 copy get dup _ ne
			{
			cvx exec _sc
			}
			{
			pop
			} ifelse
		2 copy 1 add get dup _ ne
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Adobe_cshow /initialize get exec
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Adobe_pattern_AI3 /initialize get exec
Adobe_Illustrator_AI3 /initialize get exec
[
39/quotesingle 96/grave 128/Adieresis/Aring/Ccedilla/Eacute/Ntilde/Odieresis
/Udieresis/aacute/agrave/acircumflex/adieresis/atilde/aring/ccedilla/eacute
/egrave/ecircumflex/edieresis/iacute/igrave/icircumflex/idieresis/ntilde
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/Idieresis/Igrave/Oacute/Ocircumflex/.notdef/Ograve/Uacute/Ucircumflex
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43.6494 40.752 L
f
10.0083 40.749 m
10.0083 50.6084 L
0.1499 50.6084 L
0.1499 40.749 L
10.0083 40.749 L
f
%AI6_EndPatternLayer
) &
] E
%AI3_EndPattern
%AI3_BeginPattern: (Pyramids)
(Pyramids) 1 1 19.5 19.5 [
%AI3_Tile
(0 O 0 R 0.1882 0.1294 0.102 0.0118 k
 0.1882 0.1294 0.102 0.0118 K
) @
(
%AI6_BeginPatternLayer
0 J 0 j 1 w 4 M []0 d
1 19.5 m
10.25 10.25 l
19.5 19.5 l
1 19.5 l
f
%AI6_EndPatternLayer
) &
(0 O 0 R 0.6235 0.4863 0.4863 0.4784 k
 0.6235 0.4863 0.4863 0.4784 K
) @
(
%AI6_BeginPatternLayer
0 J 0 j 1 w 4 M []0 d
19.5 1 m
10.25 10.25 l
1 1 l
19.5 1 l
f
%AI6_EndPatternLayer
) &
(0 O 0 R 0.349 0.2549 0.2235 0.0667 k
 0.349 0.2549 0.2235 0.0667 K
) @
(
%AI6_BeginPatternLayer
0 J 0 j 1 w 4 M []0 d
1 1 m
10.25 10.25 l
1 19.5 l
1 1 l
f
%AI6_EndPatternLayer
) &
(0 O 0 R 0.4902 0.3647 0.3451 0.2196 k
 0.4902 0.3647 0.3451 0.2196 K
) @
(
%AI6_BeginPatternLayer
0 J 0 j 1 w 4 M []0 d
19.5 19.5 m
10.25 10.25 l
19.5 1 l
19.5 19.5 l
f
%AI6_EndPatternLayer
) &
] E
%AI3_EndPattern
%%EndSetup
0 A
0 To
1 0 0 1 353.0313 382.2881 0 Tp
TP
0 Tr
0 O
0 g
0 J 0 j 1 w 4 M []0 d
/_Courier 10 Tf
0 Ts
100 Tz
0 Tt
0 TA
0 0 5 TC
100 100 200 TW
0 0 0 Ti
0 Ta
0 Tq
0 0 Tl
0 Tc
0 Tw
(0) Tx 
(\r) TX 
TO
8 i
0 R
0 G
1 J 1 j 10 M
420.2578 324.4297 m
243.1182 324.4297 l
316.4902 428.1968 l
420.2578 501.5693 l
420.2578 324.4297 l
S
0 To
1 0 0 1 303.3574 399.1772 0 Tp
TP
0 Tr
0 O
0 g
0 J 0 j 4 M
(1) Tx 
(\r) TX 
TO
0 R
0 G
1 J 1 j 0.5 w 10 M
286.0991 385.2129 m
316.4902 428.1968 l
286.0991 385.2129 l
S
0 To
1 0 0 1 288.353 379.1035 0 Tp
TP
0 Tr
0 O
0 g
0 J 0 j 1 w 4 M
(4) Tx 
(\r) TX 
TO
0 R
0 G
1 J 1 j 0.5 w 10 M
286.0991 385.2129 m
286.0991 385.2129 l
S
0 To
1 0 0 1 250.9761 327.7129 0 Tp
TP
0 Tr
0 O
0 g
0 J 0 j 1 w 4 M
(3) Tx 
(\r) TX 
TO
0 R
0 G
1 J 1 j 0.5 w 10 M
243.1182 324.4297 m
255.7046 342.2324 l
243.1182 324.4297 l
S
0 To
1 0 0 1 274.1948 358.4043 0 Tp
TP
0 Tr
0 O
0 g
0 J 0 j 1 w 4 M
(7) Tx 
(\r) TX 
TO
0 R
0 G
1 J 1 j 0.5 w 10 M
286.0991 385.2129 m
255.7046 342.2324 l
286.0991 385.2129 l
S
0 To
1 0 0 1 259.0366 337.2725 0 Tp
TP
0 Tr
0 O
0 g
0 J 0 j 1 w 4 M
(2) Tx 
(\r) TX 
TO
0 R
0 G
1 J 1 j 0.5 w 10 M
255.7046 342.2324 m
255.7046 342.2324 l
S
0 To
1 0 0 1 194.8438 331.5254 0 Tp
TP
0 Tr
0 O
0 g
0 J 0 j 1 w 4 M
(8) Tx 
(\r) TX 
TO
0 R
0 G
1 J 1 j 10 M
212.7241 324.4297 m
169.7432 324.4297 l
212.7241 354.8223 l
212.7241 324.4297 l
S
0 To
1 0 0 1 239.2642 352.9326 0 Tp
TP
0 Tr
0 O
0 g
0 J 0 j 4 M
(6) Tx 
(\r) TX 
TO
0 R
0 G
1 J 1 j 10 M
212.7241 324.4297 m
243.1182 324.4297 l
316.4902 428.1968 l
212.7241 354.8223 l
212.7241 324.4297 l
S
0 To
1 0 0 1 215.3906 337.2158 0 Tp
TP
0 Tr
0 O
0 g
0 J 0 j 4 M
(5) Tx 
(\r) TX 
TO
0 R
0 G
1 J 1 j 2 w 10 M
212.7241 354.8223 m
212.7241 324.4297 l
212.7241 354.8223 l
212.7241 324.4297 l
S
0 i
0 O
0 g
0 J 0 j 4 M
243.1182 324.4297 m
316.4902 428.1968 l
B
1 w
286 383 m
287.1953 383 288.1641 383.9688 288.1641 385.1641 c
288.1641 386.3594 287.1953 387.3281 286 387.3281 c
284.8047 387.3281 283.8359 386.3594 283.8359 385.1641 c
283.8359 383.9688 284.8047 383 286 383 c
f
256.271 340.9824 m
257.4658 340.9824 258.4346 341.9512 258.4346 343.1465 c
258.4346 344.3408 257.4658 345.3096 256.271 345.3096 c
255.0757 345.3096 254.1069 344.3408 254.1069 343.1465 c
254.1069 341.9512 255.0757 340.9824 256.271 340.9824 c
f
0 To
1 0 0 1 152.3335 311.666 0 Tp
TP
0 Tr
0 0 0 1 k
/_Symbol 10 Tf
(\(0,0\)) Tx 
(\r) TX 
TO
0 To
1 0 0 1 283.6665 304.334 0 Tp
TP
0 Tr
/_Symbol 12 Tf
(w) Tx 
/_Helvetica 10 Tf
4 Ts
(n) Tx 
/_Symbol 12 Tf
0 Ts
(h) Tx 
/_Helvetica 10 Tf
4 Ts
(      ) Tx 
(\r) TX 
TO
0 To
1 0 0 1 426.334 403.6665 0 Tp
TP
0 Tr
/_Symbol 12 Tf
0 Ts
(w) Tx 
/_Helvetica 10 Tf
4 Ts
(n) Tx 
/_Symbol 12 Tf
0 Ts
(h) Tx 
/_Helvetica 10 Tf
4 Ts
(-1) Tx 
/_Symbol 12 Tf
0 Ts
(|t|) Tx 
(\r) TX 
TO
0 To
1 0 0 1 304 305 0 Tp
TP
0 Tr
/_Helvetica 10 Tf
4 Ts
(-1) Tx 
(\r) TX 
TO
%%PageTrailer
gsave annotatepage grestore showpage
%%Trailer
Adobe_Illustrator_AI3 /terminate get exec
Adobe_pattern_AI3 /terminate get exec
Adobe_typography_AI3 /terminate get exec
Adobe_customcolor /terminate get exec
Adobe_cshow /terminate get exec
Adobe_packedarray /terminate get exec
%%EOF

%%EndDocument
 @endspecial 515 4701 a(Figure)37 b(11:)55 b(Example)37
b(I)r(I:)h(lev)n(el-)p Fq(n)e Fu(return)h(map)g(partition,)j
Fq(n)f Fu(=)g(0)p Fq(;)14 b Fu(2)p Fq(;)g Fu(4)p Fq(;)g
Fu(6)p Fq(;)g(:)g(:)g(:)n Fu(.)66 b(The)515 4801 y(domains)36
b(0,)j(6,)h(8)c(are)g(op)r(en)i(p)r(olygons;)i(1)p Fq(;)14
b Fu(3)p Fq(;)g Fu(5)p Fq(;)g Fu(7)35 b(are)h(op)r(en)h(line)h(segmen)n
(ts;)j(2)p Fq(;)14 b Fu(4)36 b(are)515 4901 y(p)r(oin)n(ts.)1905
5506 y(59)p eop
%%Page: 60 60
60 59 bop 580 3341 a @beginspecial 148 @llx 269 @lly
476 @urx 505 @ury 3280 @rwi @setspecial
%%BeginDocument: fig.ExampleII.4.eps
%!PS-Adobe-3.0 EPSF-3.0
%%Creator: Adobe Illustrator(TM) 3.2
%%AI8_CreatorVersion: 10.0
%%For: (John H. Lowenstein) (New York University)
%%Title: (fig.ExampleII.4.eps)
%%CreationDate: 3/21/02 6:21 PM
%%BoundingBox: 148 269 476 505
%%DocumentProcessColors: Black
%%DocumentFonts: Courier
%%+ Helvetica
%%+ Myriad-Roman
%%+ Symbol
%%DocumentNeededFonts: Courier
%%+ Helvetica
%%+ Myriad-Roman
%%+ Symbol
%%DocumentSuppliedResources: procset Adobe_packedarray 2.0 0
%%+ procset Adobe_cshow 1.1 0
%%+ procset Adobe_customcolor 1.0 0
%%+ procset Adobe_typography_AI3 1.0 1
%%+ procset Adobe_pattern_AI3 1.0 0
%%+ procset Adobe_Illustrator_AI3 1.0 1
%AI3_ColorUsage: Color
%AI3_IncludePlacedImages
%AI3_TemplateBox: 306.5 395.5 306.5 395.5
%AI3_TileBox: 30 35 582 761
%AI3_DocumentPreview: Header
%%PageOrigin:30 35
%%AI3_PaperRect:-30 761 582 -31
%%AI3_Margin:30 -31 -30 31
%AI7_GridSettings: 72 8 72 8 1 0 0.8 0.8 0.8 0.9 0.9 0.9
%AI9_Flatten: 1
%%EndComments
%%BeginProlog
%%BeginResource: procset Adobe_packedarray 2.0 0
%%Title: (Packed Array Operators)
%%Version: 2.0 0
%%CreationDate: (8/2/90) ()
%%Copyright: ((C) 1987-1996 Adobe Systems Incorporated All Rights Reserved)
userdict /Adobe_packedarray 5 dict dup begin put
/initialize
{
/packedarray where
	{
	pop
	}
	{
	Adobe_packedarray begin
	Adobe_packedarray
		{
		dup xcheck
			{
			bind
			} if
		userdict 3 1 roll put
		} forall
 end
	} ifelse
} def
/terminate
{
} def
/packedarray
{
array astore readonly
} def
/setpacking
{
pop
} def
/currentpacking
{
false
} def
currentdict readonly pop end
%%EndResource
Adobe_packedarray /initialize get exec
%%BeginResource: procset Adobe_cshow 1.1 0
%%Title: (cshow Operator)
%%Version: 1.1 0
%%CreationDate: (1/23/89) ()
%%Copyright: ((C) 1987-1996 Adobe Systems Incorporated All Rights Reserved)
currentpacking true setpacking
userdict /Adobe_cshow 3 dict dup begin put
/initialize
{
/cshow where
	{
	pop
	}
	{
	userdict /Adobe_cshow_vars 1 dict dup begin put
	/_cshow
		{} def
	Adobe_cshow begin
	Adobe_cshow
		{
		dup xcheck
			{
			bind
			} if
		userdict 3 1 roll put
		} forall
 end
 end
	} ifelse
} def
/terminate
{
} def
/cshow
{
exch
Adobe_cshow_vars
	exch /_cshow
	exch put
	{
	0 0 Adobe_cshow_vars /_cshow get exec
	} forall
} def
currentdict readonly pop end
setpacking
%%EndResource
%%BeginResource: procset Adobe_customcolor 1.0 0
%%Title: (Custom Color Operators)
%%Version: 1.0 0
%%CreationDate: (5/9/88) ()
%%Copyright: ((C) 1987-1996 Adobe Systems Incorporated All Rights Reserved)
currentpacking true setpacking
userdict /Adobe_customcolor 5 dict dup begin put
/initialize
{
/setcustomcolor where
	{
	pop
	}
	{
	Adobe_customcolor begin
	Adobe_customcolor
		{
		dup xcheck
			{
			bind
			} if
		pop pop
		} forall
 end
	Adobe_customcolor begin
	} ifelse
} def
/terminate
{
currentdict Adobe_customcolor eq
	{
 end
	} if
} def
/findcmykcustomcolor
{
5 packedarray
}  def
/setcustomcolor
{
exch
aload pop pop
4
	{
	4 index mul 4 1 roll
	} repeat
5 -1 roll pop
setcmykcolor
} def
/setoverprint
{
pop
} def
currentdict readonly pop end
setpacking
%%EndResource
%%BeginResource: procset Adobe_typography_AI3 2.0 0
%%Title: (Typography Operators)
%%Version: 2.0 0
%%CreationDate:(5/31/90) ()
%%Copyright: ((C) 1987-1996 Adobe Systems Incorporated All Rights Reserved)
currentpacking true setpacking
userdict /Adobe_typography_AI3 48 dict dup begin put
/initialize
{
/TZ
 where
	{
	pop
	}
	{
	Adobe_typography_AI3 begin
	Adobe_typography_AI3
		{
		dup xcheck
			{
			bind
			} if
		pop pop
		} forall
 end
	Adobe_typography_AI3 begin
	} ifelse
} def
/terminate
{
currentdict Adobe_typography_AI3 eq
	{
 end
	} if
} def
/modifyEncoding
{
	/_tempEncode exch ddef
	
	/_pntr 0 ddef
	
	{
		counttomark -1 roll
		dup type dup /marktype eq 		
		{
			pop pop exit
		}
		{
			/nametype eq
			{
				_tempEncode /_pntr dup load dup 3 1 roll 1 add ddef 3 -1 roll
				put
			}
			{
				/_pntr exch ddef					
			}
			ifelse
		}
		ifelse
	}
	loop	
	
	_tempEncode
}
def
/TE
{
	StandardEncoding 256 array copy modifyEncoding 
	/_nativeEncoding exch def
} def
%
/TZ		
{
	dup type /arraytype eq {/_wv exch def} {/_wv 0 def} ifelse 
	/_useNativeEncoding exch def
	pop pop
	
	findfont _wv type /arraytype eq {_wv makeblendedfont} if dup length 2 add dict
	
 begin
	
		mark exch
		{
			1 index /FID ne { def } if cleartomark mark
		}
		forall
		pop
		
		/FontName exch def
		
		counttomark 0 eq
		{
			1 _useNativeEncoding eq
			{
				/Encoding _nativeEncoding def
			}
			if
			cleartomark
		}
		{	
			/Encoding load 256 array copy 
			modifyEncoding /Encoding exch def
		}
		ifelse		
		FontName currentdict
 end
	
	definefont pop
}
def
/tr
{
_ax _ay 3 2 roll
} def
/trj
{
_cx _cy _sp _ax _ay 6 5 roll
} def
/a0
{
/Tx
	{
	dup 
	currentpoint 3 2 roll
	tr _psf
	newpath moveto
	tr _ctm _pss
	} ddef
/Tj
	{
	dup
	currentpoint 3 2 roll
	trj _pjsf
	newpath moveto
	trj _ctm _pjss
	} ddef
	
} def
/a1
{
/Tx
	{
	dup currentpoint 4 2 roll gsave
	dup currentpoint 3 2 roll
	tr _psf
	newpath moveto
	tr _ctm _pss
	grestore 3 1 roll moveto tr sp
	} ddef
/Tj
	{
	dup currentpoint 4 2 roll gsave
	dup currentpoint 3 2 roll
	trj _pjsf
	newpath moveto
	trj _ctm _pjss
	grestore 3 1 roll moveto tr sp
	} ddef
	
} def
/e0
{
/Tx
	{
	tr _psf
	} ddef
/Tj
	{
	trj _pjsf
	} ddef
} def
/e1
{
/Tx
	{
	dup currentpoint 4 2 roll gsave 
	tr _psf  
	grestore 3 1 roll moveto tr sp 
	} ddef
/Tj
	{
	dup currentpoint 4 2 roll gsave 
	trj _pjsf
	grestore 3 1 roll moveto tr sp 
	} ddef
} def
/i0
{
/Tx
	{
	tr sp
	} ddef
/Tj
	{
	trj jsp
	} ddef
} def
/i1
{
W N
} def
/o0
{
/Tx
	{
	tr sw rmoveto
	} ddef
/Tj
	{
	trj swj rmoveto
	} ddef
} def
/r0
{
/Tx
	{
	tr _ctm _pss
	} ddef
/Tj
	{
	trj _ctm _pjss
	} ddef
} def
/r1
{
/Tx
	{
	dup currentpoint 4 2 roll currentpoint gsave newpath moveto
	tr _ctm _pss 
	grestore 3 1 roll moveto tr sp 
	} ddef
/Tj
	{
	dup currentpoint 4 2 roll currentpoint gsave newpath moveto
	trj _ctm _pjss
	grestore 3 1 roll moveto tr sp 
	} ddef
} def
/To
{
	pop _ctm currentmatrix pop
} def
/TO
{
	iTe _ctm setmatrix newpath
} def
/Tp
{
	pop _tm astore pop _ctm setmatrix 
	_tDict begin /W {} def /h {} def
} def
/TP
{
 end
	iTm 0 0 moveto
} def
/Tr
{
	_render 3 le {currentpoint newpath moveto} if
	dup 8 eq {pop 0} {dup 9 eq {pop 1} if} ifelse
	dup /_render exch ddef
	_renderStart exch get load exec
} def
/iTm
{
_ctm setmatrix _tm concat 0 _rise translate _hs 1 scale
} def
/Tm
{
_tm astore pop iTm 0 0 moveto
} def
/Td
{
_mtx translate _tm _tm concatmatrix pop iTm 0 0 moveto
} def
/iTe
{
	_render -1 eq {} {_renderEnd _render get dup null ne {load exec} {pop} ifelse} ifelse
	/_render -1 ddef
} def
/Ta
{
pop
} def
/Tf
{
dup 1000 div /_fScl exch ddef
exch findfont exch scalefont setfont
} def
/Tl
{
pop
0 exch _leading astore pop
} def
/Tt
{
pop
} def
/TW
{
3 npop
} def
/Tw
{
/_cx exch ddef
} def
/TC
{
3 npop
} def
/Tc
{
/_ax exch ddef
} def
/Ts
{
/_rise exch ddef
currentpoint
iTm
moveto
} def
/Ti
{
3 npop
} def
/Tz
{
100 div /_hs exch ddef
iTm
} def
/TA
{
pop
} def
/Tq
{
pop
} def
/Th
{
pop pop pop pop pop
} def
/TX {pop} def
%/Tx
%/Tj
/Tk
{
exch pop _fScl mul neg 0 rmoveto
} def
/TK
{
2 npop
} def
/T*
{
_leading aload pop neg Td
} def
/T*-
{
_leading aload pop Td
} def
/T-
{
_hyphen Tx
} def
/T+
{} def
/TR
{
_ctm currentmatrix pop 	
_tm astore pop 
iTm 0 0 moveto 
} def
/TS
{
0 eq {Tx} {Tj} ifelse
} def
currentdict readonly pop end
setpacking
%%EndResource
%%BeginResource: procset Adobe_pattern_AI3 1.1 0
%%Title: (Adobe Illustrator (R) Version 3.0 Pattern Operators)
%%Version: 1.1 0
%%CreationDate: (7/21/89) ()
%%Copyright: ((C) 1987-1996 Adobe Systems Incorporated All Rights Reserved)
currentpacking true setpacking
userdict /Adobe_pattern_AI3 16 dict dup begin put
/initialize
{
/definepattern where
	{
	pop
	}
	{
	Adobe_pattern_AI3 begin
	Adobe_pattern_AI3
		{
		dup xcheck
			{
			bind
			} if
		pop pop
		} forall
	mark
	cachestatus 7 1 roll pop pop pop pop exch pop exch
		{
		{
		10000 add
		dup 2 index gt
			{
			exit
			} if
		dup setcachelimit
		} loop
		} stopped
	cleartomark
	} ifelse
} def
/terminate
{
currentdict Adobe_pattern_AI3 eq
	{
 end
	} if
} def
errordict
/nocurrentpoint
{
pop
stop
} put
errordict
/invalidaccess
{
pop
stop
} put
/patternencoding
256 array def
0 1 255
{
patternencoding exch ( ) 2 copy exch 0 exch put cvn put
} for
/definepattern
{
17 dict begin
/uniform exch def
/cache exch def
/key exch def
/procarray exch def
/mtx exch matrix invertmatrix def
/height exch def
/width exch def
/ctm matrix currentmatrix def
/ptm matrix def
/str 32 string def
/slice 9 dict def
slice /s 1 put
slice /q 256 procarray length div sqrt floor cvi put
slice /b 0 put
/FontBBox [0 0 0 0] def
/FontMatrix mtx matrix copy def
/Encoding patternencoding def
/FontType 3 def
/BuildChar
	{
	exch
 begin
	/setstrokeadjust where {pop true setstrokeadjust} if
	slice begin
	dup q dup mul mod s idiv /i exch def
	dup q dup mul mod s mod /j exch def
	q dup mul idiv procarray exch get
	/xl j width s div mul def
	/xg j 1 add width s div mul def
	/yl i height s div mul def
	/yg i 1 add height s div mul def
	uniform
		{
		1 1
		}
		{
		width 0 dtransform
		dup mul exch dup mul add sqrt dup 1 add exch div
		0 height dtransform
		dup mul exch dup mul add sqrt dup 1 add exch div
		} ifelse
	width 0 cache
		{
		xl 4 index mul yl 4 index mul xg 6 index mul yg 6 index mul
		setcachedevice
		}
		{
		setcharwidth
		} ifelse
	gsave
	scale
	newpath
	xl yl moveto
	xg yl lineto
	xg yg lineto
	xl yg lineto
	closepath
	clip
	newpath
 end
 end
	exec
	grestore
	} def
key currentdict definefont
end
} def
/patterncachesize
{
gsave
newpath
0 0 moveto
width 0 lineto
width height lineto
0 height lineto
closepath
patternmatrix setmatrix
pathbbox
exch ceiling 4 -1 roll floor sub 3 1 roll
ceiling exch floor sub
mul 1 add
grestore
} def
/patterncachelimit
{
cachestatus 7 1 roll 6 npop 8 mul
} def
/patternpath
{
exch dup begin setfont
ctm setmatrix
concat
slice exch /b exch slice /q get dup mul mul put
FontMatrix concat
uniform
	{
	width 0 dtransform round width div exch round width div exch
	0 height dtransform round height div exch height div exch
	0 0 transform round exch round exch
	ptm astore setmatrix
	}
	{
	ptm currentmatrix pop
	} ifelse
{currentpoint} stopped not
	{
	2 npop
	pathbbox
	true
	4 index 3 index eq
	4 index 3 index eq
	and
		{
		pop false
			{
			{2 npop}
			{3 npop true}
			{7 npop true}
			{pop true}
			pathforall
			} stopped
			{
			5 npop true
			} if
		} if
		{
		height div ceiling height mul 4 1 roll
		width div ceiling width mul 4 1 roll
		height div floor height mul 4 1 roll
		width div floor width mul 4 1 roll
		2 index sub height div ceiling cvi exch
		3 index sub width div ceiling cvi exch
		4 2 roll moveto
		FontMatrix mtx invertmatrix
		dup dup 4 get exch 5 get rmoveto
		ptm ptm concatmatrix pop
		slice /s
		patterncachesize patterncachelimit div ceiling sqrt ceiling cvi
		dup slice /q get gt
			{
			pop slice /q get
			} if
		put
		0 1 slice /s get dup mul 1 sub
			{
			slice /b get add
			gsave
			0 1 str length 1 sub
				{
				str exch 2 index put
				} for
			pop
			dup
				{
				gsave
				ptm setmatrix
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				1 index str length mod str exch 0 exch getinterval show
				grestore
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				} repeat
			grestore
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		2 npop
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		{
		4 npop
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	} if
end
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/patternclip
{
clip
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/patternstrokepath
{
strokepath
} def
/patternmatrix
matrix def
/patternfill
{
dup type /dicttype eq
	{
	Adobe_pattern_AI3 /patternmatrix get
	} if
gsave
patternclip
Adobe_pattern_AI3 /patternpath get exec
grestore
newpath
} def
/patternstroke
{
dup type /dicttype eq
	{
	Adobe_pattern_AI3 /patternmatrix get
	} if
gsave
patternstrokepath
true
	{
		{
			{
			newpath 
			moveto
			}
			{
			lineto
			}
			{
			curveto
			}
			{
			closepath
			3 copy
			Adobe_pattern_AI3 /patternfill get exec
			} pathforall
		3 npop
		} stopped
			{
			5 npop
			patternclip
			Adobe_pattern_AI3 /patternfill get exec
			} if
	}
	{
	patternclip
	Adobe_pattern_AI3 /patternfill get exec
	} ifelse
grestore
newpath
} def
/patternashow
{
3 index type /dicttype eq
	{
	Adobe_pattern_AI3 /patternmatrix get 4 1 roll
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	{
	2 npop (0) exch
	2 copy 0 exch put pop
	gsave
	false charpath currentpoint
	6 index 6 index 6 index
	Adobe_pattern_AI3 /patternfill get exec
	grestore
	newpath moveto
	2 copy rmoveto
	} exch cshow
5 npop
} def
/patternawidthshow
{
6 index type /dicttype eq
	{
	Adobe_pattern_AI3 /patternmatrix get 7 1 roll
	} if
	{
	2 npop (0) exch
	2 copy 0 exch put 
	gsave
	_sp eq {5 index 5 index rmoveto} if
	false charpath currentpoint
	9 index 9 index 9 index
	Adobe_pattern_AI3 /patternfill get exec
	grestore
	newpath moveto
	2 copy rmoveto
	} exch cshow
8 npop
} def
/patternashowstroke
{
4 index type /dicttype eq
	{
	patternmatrix /patternmatrix get 5 1 roll
	} if
4 1 roll
	{
	2 npop (0) exch
	2 copy 0 exch put pop
	gsave
	false charpath
	currentpoint
	4 index setmatrix
	7 index 7 index 7 index
	Adobe_pattern_AI3 /patternstroke get exec
	grestore
	newpath moveto
	2 copy rmoveto
	} exch cshow
6 npop
} def
/patternawidthshowstroke
{
7 index type /dicttype eq
	{
	patternmatrix /patternmatrix get 8 1 roll
	} if
7 1 roll
	{
	2 npop (0) exch
	2 copy 0 exch put
	gsave
	_sp eq {5 index 5 index rmoveto} if
	false charpath currentpoint
	7 index setmatrix
	10 index 10 index 10 index
	Adobe_pattern_AI3 /patternstroke get exec
	grestore
	newpath moveto
	2 copy rmoveto
	} exch cshow
9 npop
} def
currentdict readonly pop end
setpacking
%%EndResource
%%BeginResource: procset Adobe_Illustrator_AI3 1.1 0
%%Title: (Adobe Illustrator (R) Version 3.0 Full Prolog)
%%Version: 1.1 0
%%CreationDate: (3/7/1994) ()
%%Copyright: ((C) 1987-1996 Adobe Systems Incorporated All Rights Reserved)
currentpacking true setpacking
userdict /Adobe_Illustrator_AI3 71 dict dup begin put
/initialize
{
userdict /Adobe_Illustrator_AI3_vars 67 dict dup begin put
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/_ps {} def
/_psf {} def
/_pss {} def
/_pjsf {} def
/_pjss {} def
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/_tm matrix def
/_renderStart [/e0 /r0 /a0 /o0 /e1 /r1 /a1 /i0] def 
/_renderEnd [null null null null /i1 /i1 /i1 /i1] def
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/_sp 16#020 def
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/_pd 1 dict def
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Adobe_Illustrator_AI3 begin
Adobe_Illustrator_AI3 dup /nc get begin
	{
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Adobe_Illustrator_AI3_vars begin
newpath
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/terminate
{
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/_
null def
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{
Adobe_Illustrator_AI3_vars 3 1 roll put
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{
dup load dup length exch maxlength eq
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load begin def end
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/npop
{
	{
	pop
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dup length exch stringwidth
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4 1 roll 3 1 roll mul add
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6 2 roll /_cnt 0 ddef
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{
4 1 roll
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3 npop
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4 1 roll
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		4 index setmatrix stroke
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	grestore
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6 npop
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{
	{
	2 npop (0) exch
	2 copy 0 exch put pop
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2 npop
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{
	{
	2 npop 
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	_sp eq 
		{
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		{
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	2 copy rmoveto
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5 npop
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transform
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	curveto
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	/C
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	{
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	{
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setdash
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setflat
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setlinejoin
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setlinecap
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setmiterlimit
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setlinewidth
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{} def
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{
closepath
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	{
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/n
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	{
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		/_doClip 0 ddef
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		{
		_pf
		}ifelse
	} 
	{
	/CRender {F} ddef
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{
closepath
F
} def
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{
_pola 0 eq 
	{
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		{
		gsave _ps grestore clip newpath /_lp /none ddef _sc 
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		{
		_ps
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	{
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} def
/s
{
closepath
S
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/B
{
_pola 0 eq 
	{
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		} 
		{
		S
		}ifelse
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	{
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{
closepath
B
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/W
{
/_doClip 1 ddef
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/*
{
count 0 ne 
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} def
/u
{} def
/U
{} def
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{
_pola 0 eq {gsave} if
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/Q
{
_pola 0 eq {grestore} if
} def
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{
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/*U
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_pola 0 eq {CRender} if
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/D
{pop} def
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{} def
/*W
{} def
/`
{
/_i save ddef
6 1 roll 4 npop
concat pop
userdict begin
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0 setgray
0 setlinecap
1 setlinewidth
0 setlinejoin
10 setmiterlimit
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/setstrokeadjust where {pop false setstrokeadjust} if
newpath
0 setgray
false setoverprint
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/~
{
end
_i restore
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/@
{} def
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{} def
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{
0 ne
/_of exch ddef
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{
0 ne
/_os exch ddef
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/g
{
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{
_fc
fill
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{
_fc
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_fc
awidthshow
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{
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{
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} ddef
/_ps
{
_sc
stroke
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/_pss
{
_sc
ss
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/_pjss
{
_sc
jss
} ddef
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} def
/k
{
_cf astore pop
/_fc
{
_lp /fill ne
	{
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{
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fill
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{
_fc
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{
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/K
{
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{
_lp /stroke ne
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{
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stroke
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{
_sc
ss
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{
_sc
jss
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/x
{
/_gf exch ddef
findcmykcustomcolor
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{
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{
_fc
fill
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{
_fc
ashow
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{
_fc
awidthshow
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} def
/X
{
/_gs exch ddef
findcmykcustomcolor
/_is exch ddef
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{
_lp /stroke ne
	{
	_os setoverprint
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/_ps
{
_sc
stroke
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/_pss
{
_sc
ss
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/_pjss
{
_sc
jss
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} def
/dp
{
dup null eq
{
pop
_dp 0 ne
	{
	0 1 _dp 1 sub _dl mod
		{
		_da exch get 3 get
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	_dp 1 sub _dl mod 1 add packedarray
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}
{
_dp 0 ne _dp _dl mod 0 eq and
	{
	null dp
	} if
7 packedarray _da exch _dp _dl mod exch put
_dp _dl mod _da 0 get 4 get 2 packedarray
/_dp _dp 1 add def
} ifelse
} def
/E
{
_ed begin
dup 0 get type /arraytype ne
	{
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/_dd exch def
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			/_fn 12 _n length add string def
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null dp
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} def
/fc
{
_fm dup concatmatrix pop
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/p
{
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9 -2 roll _pm translate fc
7 -2 roll _pm scale fc
5 -1 roll _pm rotate fc
4 -2 roll exch 0 ne
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dup _pm rotate fc
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{
save
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	{
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		{
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			{
			cvx exec _fc
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		2 copy 1 add get dup _ ne
			{
			aload pop findfont _fm
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save
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0 1 _fdd length 1 sub
	{
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		{
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			{
			aload pop findfont _fm
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save
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			aload pop findfont _fm
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/sc
{
_sm dup concatmatrix pop
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/P
{
/_sm exch ddef
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7 -2 roll _pm scale sc
5 -1 roll _pm rotate sc
4 -2 roll exch 0 ne
	{
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dup _pm rotate sc
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save
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restore
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restore
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currentdict readonly pop end
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[
39/quotesingle 96/grave 128/Adieresis/Aring/Ccedilla/Eacute/Ntilde/Odieresis
/Udieresis/aacute/agrave/acircumflex/adieresis/atilde/aring/ccedilla/eacute
/egrave/ecircumflex/edieresis/iacute/igrave/icircumflex/idieresis/ntilde
/oacute/ograve/ocircumflex/odieresis/otilde/uacute/ugrave/ucircumflex
/udieresis/dagger/degree/cent/sterling/section/bullet/paragraph/germandbls
/registered/copyright/trademark/acute/dieresis/.notdef/AE/Oslash
/.notdef/plusminus/.notdef/.notdef/yen/mu/.notdef/.notdef
/.notdef/.notdef/.notdef/ordfeminine/ordmasculine/.notdef/ae/oslash
/questiondown/exclamdown/logicalnot/.notdef/florin/.notdef/.notdef
/guillemotleft/guillemotright/ellipsis/space/Agrave/Atilde/Otilde/OE/oe
/endash/emdash/quotedblleft/quotedblright/quoteleft/quoteright/divide
/.notdef/ydieresis/Ydieresis/fraction/currency/guilsinglleft/guilsinglright
/fi/fl/daggerdbl/periodcentered/quotesinglbase/quotedblbase/perthousand
/Acircumflex/Ecircumflex/Aacute/Edieresis/Egrave/Iacute/Icircumflex
/Idieresis/Igrave/Oacute/Ocircumflex/.notdef/Ograve/Uacute/Ucircumflex
/Ugrave/dotlessi/circumflex/tilde/macron/breve/dotaccent/ring/cedilla
/hungarumlaut/ogonek/caron
TE
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%%PageTrailer
gsave annotatepage grestore showpage
%%Trailer
Adobe_Illustrator_AI3 /terminate get exec
Adobe_pattern_AI3 /terminate get exec
Adobe_typography_AI3 /terminate get exec
Adobe_customcolor /terminate get exec
Adobe_cshow /terminate get exec
Adobe_packedarray /terminate get exec
%%EOF

%%EndDocument
 @endspecial 515 3524 a Fu(Figure)37 b(12:)55 b(Example)37
b(I)r(I:)h(lev)n(el-)p Fq(n)e Fu(return)h(map)g(partition,)j
Fq(n)f Fu(=)g(1)p Fq(;)14 b Fu(3)p Fq(;)g Fu(5)p Fq(;)g
Fu(7)p Fq(;)g(:)g(:)g(:)n Fu(.)66 b(The)515 3624 y(domains)36
b(0,)j(6,)h(8)c(are)g(op)r(en)i(p)r(olygons;)i(1)p Fq(;)14
b Fu(3)p Fq(;)g Fu(5)p Fq(;)g Fu(7)35 b(are)h(op)r(en)h(line)h(segmen)n
(ts;)j(2)p Fq(;)14 b Fu(4)36 b(are)515 3723 y(p)r(oin)n(ts.)1905
5506 y(60)p eop
%%Trailer
end
userdict /end-hook known{end-hook}if
%%EOF