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cleartomark
%%EndFont 
%%BeginFont: CMSY6
%!PS-AdobeFont-1.1: CMSY6 1.0
%%CreationDate: 1991 Aug 15 07:21:34
% Copyright (C) 1997 American Mathematical Society. All Rights Reserved.
11 dict begin
/FontInfo 7 dict dup begin
/version (1.0) readonly def
/Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def
/FullName (CMSY6) readonly def
/FamilyName (Computer Modern) readonly def
/Weight (Medium) readonly def
/ItalicAngle -14.035 def
/isFixedPitch false def
end readonly def
/FontName /CMSY6 def
/PaintType 0 def
/FontType 1 def
/FontMatrix [0.001 0 0 0.001 0 0] readonly def
/Encoding 256 array
0 1 255 {1 index exch /.notdef put} for
dup 3 /asteriskmath put
dup 48 /prime put
readonly def
/FontBBox{-4 -948 1329 786}readonly def
currentdict end
currentfile eexec
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cleartomark
%%EndFont 
%%BeginFont: CMTI8
%!PS-AdobeFont-1.1: CMTI8 1.0
%%CreationDate: 1991 Aug 18 21:07:42
% Copyright (C) 1997 American Mathematical Society. All Rights Reserved.
11 dict begin
/FontInfo 7 dict dup begin
/version (1.0) readonly def
/Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def
/FullName (CMTI8) readonly def
/FamilyName (Computer Modern) readonly def
/Weight (Medium) readonly def
/ItalicAngle -14.04 def
/isFixedPitch false def
end readonly def
/FontName /CMTI8 def
/PaintType 0 def
/FontType 1 def
/FontMatrix [0.001 0 0 0.001 0 0] readonly def
/Encoding 256 array
0 1 255 {1 index exch /.notdef put} for
dup 11 /ff put
dup 19 /acute put
dup 39 /quoteright put
dup 40 /parenleft put
dup 41 /parenright put
dup 45 /hyphen put
dup 46 /period put
dup 51 /three put
dup 65 /A put
dup 66 /B put
dup 67 /C put
dup 68 /D put
dup 69 /E put
dup 70 /F put
dup 72 /H put
dup 73 /I put
dup 74 /J put
dup 76 /L put
dup 77 /M put
dup 78 /N put
dup 80 /P put
dup 83 /S put
dup 84 /T put
dup 85 /U put
dup 97 /a put
dup 98 /b put
dup 99 /c put
dup 100 /d put
dup 101 /e put
dup 102 /f put
dup 103 /g put
dup 104 /h put
dup 105 /i put
dup 108 /l put
dup 109 /m put
dup 110 /n put
dup 111 /o put
dup 112 /p put
dup 113 /q put
dup 114 /r put
dup 115 /s put
dup 116 /t put
dup 117 /u put
dup 118 /v put
dup 120 /x put
dup 121 /y put
readonly def
/FontBBox{-35 -250 1190 750}readonly def
currentdict end
currentfile eexec
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cleartomark
%%EndFont 
%%BeginFont: CMSY5
%!PS-AdobeFont-1.1: CMSY5 1.0
%%CreationDate: 1991 Aug 15 07:21:16
% Copyright (C) 1997 American Mathematical Society. All Rights Reserved.
11 dict begin
/FontInfo 7 dict dup begin
/version (1.0) readonly def
/Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def
/FullName (CMSY5) readonly def
/FamilyName (Computer Modern) readonly def
/Weight (Medium) readonly def
/ItalicAngle -14.035 def
/isFixedPitch false def
end readonly def
/FontName /CMSY5 def
/PaintType 0 def
/FontType 1 def
/FontMatrix [0.001 0 0 0.001 0 0] readonly def
/Encoding 256 array
0 1 255 {1 index exch /.notdef put} for
dup 0 /minus put
dup 3 /asteriskmath put
dup 49 /infinity put
readonly def
/FontBBox{21 -944 1448 791}readonly def
currentdict end
currentfile eexec
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cleartomark
%%EndFont 
%%BeginFont: MSAM10
%!PS-AdobeFont-1.1: MSAM10 2.1
%%CreationDate: 1993 Sep 17 09:05:00
% Math Symbol fonts were designed by the American Mathematical Society.
% Copyright (C) 1997 American Mathematical Society. All Rights Reserved.
11 dict begin
/FontInfo 7 dict dup begin
/version (2.1) readonly def
/Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def
/FullName (MSAM10) readonly def
/FamilyName (Euler) readonly def
/Weight (Medium) readonly def
/ItalicAngle 0 def
/isFixedPitch false def
end readonly def
/FontName /MSAM10 def
/PaintType 0 def
/FontType 1 def
/FontMatrix [0.001 0 0 0.001 0 0] readonly def
/Encoding 256 array
0 1 255 {1 index exch /.notdef put} for
dup 3 /square put
readonly def
/FontBBox{8 -463 1331 1003}readonly def
currentdict end
currentfile eexec
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cleartomark
%%EndFont 
%%BeginFont: MSBM7
%!PS-AdobeFont-1.1: MSBM7 2.1
%%CreationDate: 1992 Oct 17 08:30:50
% Math Symbol fonts were designed by the American Mathematical Society.
% Copyright (C) 1997 American Mathematical Society. All Rights Reserved.
11 dict begin
/FontInfo 7 dict dup begin
/version (2.1) readonly def
/Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def
/FullName (MSBM7) readonly def
/FamilyName (Euler) readonly def
/Weight (Medium) readonly def
/ItalicAngle 0 def
/isFixedPitch false def
end readonly def
/FontName /MSBM7 def
/PaintType 0 def
/FontType 1 def
/FontMatrix [0.001 0 0 0.001 0 0] readonly def
/Encoding 256 array
0 1 255 {1 index exch /.notdef put} for
dup 82 /R put
dup 84 /T put
dup 90 /Z put
readonly def
/FontBBox{0 -504 2615 1004}readonly def
currentdict end
currentfile eexec
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cleartomark
%%EndFont 
%%BeginFont: CMTI10
%!PS-AdobeFont-1.1: CMTI10 1.00B
%%CreationDate: 1992 Feb 19 19:56:16
% Copyright (C) 1997 American Mathematical Society. All Rights Reserved.
11 dict begin
/FontInfo 7 dict dup begin
/version (1.00B) readonly def
/Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def
/FullName (CMTI10) readonly def
/FamilyName (Computer Modern) readonly def
/Weight (Medium) readonly def
/ItalicAngle -14.04 def
/isFixedPitch false def
end readonly def
/FontName /CMTI10 def
/PaintType 0 def
/FontType 1 def
/FontMatrix [0.001 0 0 0.001 0 0] readonly def
/Encoding 256 array
0 1 255 {1 index exch /.notdef put} for
dup 11 /ff put
dup 12 /fi put
dup 14 /ffi put
dup 40 /parenleft put
dup 41 /parenright put
dup 44 /comma put
dup 45 /hyphen put
dup 46 /period put
dup 49 /one put
dup 50 /two put
dup 51 /three put
dup 54 /six put
dup 56 /eight put
dup 65 /A put
dup 66 /B put
dup 70 /F put
dup 73 /I put
dup 76 /L put
dup 80 /P put
dup 84 /T put
dup 97 /a put
dup 98 /b put
dup 99 /c put
dup 100 /d put
dup 101 /e put
dup 102 /f put
dup 103 /g put
dup 104 /h put
dup 105 /i put
dup 106 /j put
dup 107 /k put
dup 108 /l put
dup 109 /m put
dup 110 /n put
dup 111 /o put
dup 112 /p put
dup 113 /q put
dup 114 /r put
dup 115 /s put
dup 116 /t put
dup 117 /u put
dup 118 /v put
dup 119 /w put
dup 120 /x put
dup 121 /y put
dup 122 /z put
readonly def
/FontBBox{-163 -250 1146 969}readonly def
currentdict end
currentfile eexec
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cleartomark
%%EndFont 
%%BeginFont: MSBM10
%!PS-AdobeFont-1.1: MSBM10 2.1
%%CreationDate: 1993 Sep 17 11:10:37
% Math Symbol fonts were designed by the American Mathematical Society.
% Copyright (C) 1997 American Mathematical Society. All Rights Reserved.
11 dict begin
/FontInfo 7 dict dup begin
/version (2.1) readonly def
/Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def
/FullName (MSBM10) readonly def
/FamilyName (Euler) readonly def
/Weight (Medium) readonly def
/ItalicAngle 0 def
/isFixedPitch false def
end readonly def
/FontName /MSBM10 def
/PaintType 0 def
/FontType 1 def
/FontMatrix [0.001 0 0 0.001 0 0] readonly def
/Encoding 256 array
0 1 255 {1 index exch /.notdef put} for
dup 67 /C put
dup 78 /N put
dup 81 /Q put
dup 82 /R put
dup 84 /T put
dup 90 /Z put
readonly def
/FontBBox{-55 -420 2343 920}readonly def
currentdict end
currentfile eexec
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cleartomark
%%EndFont 
%%BeginFont: CMSY7
%!PS-AdobeFont-1.1: CMSY7 1.0
%%CreationDate: 1991 Aug 15 07:21:52
% Copyright (C) 1997 American Mathematical Society. All Rights Reserved.
11 dict begin
/FontInfo 7 dict dup begin
/version (1.0) readonly def
/Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def
/FullName (CMSY7) readonly def
/FamilyName (Computer Modern) readonly def
/Weight (Medium) readonly def
/ItalicAngle -14.035 def
/isFixedPitch false def
end readonly def
/FontName /CMSY7 def
/PaintType 0 def
/FontType 1 def
/FontMatrix [0.001 0 0 0.001 0 0] readonly def
/Encoding 256 array
0 1 255 {1 index exch /.notdef put} for
dup 0 /minus put
dup 2 /multiply put
dup 3 /asteriskmath put
dup 20 /lessequal put
dup 33 /arrowright put
dup 48 /prime put
dup 49 /infinity put
dup 50 /element put
dup 76 /L put
dup 95 /logicalor put
dup 106 /bar put
dup 107 /bardbl put
readonly def
/FontBBox{-15 -951 1252 782}readonly def
currentdict end
currentfile eexec
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cleartomark
%%EndFont 
%%BeginFont: CMMI5
%!PS-AdobeFont-1.1: CMMI5 1.100
%%CreationDate: 1996 Aug 02 08:21:10
% Copyright (C) 1997 American Mathematical Society. All Rights Reserved.
11 dict begin
/FontInfo 7 dict dup begin
/version (1.100) readonly def
/Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def
/FullName (CMMI5) readonly def
/FamilyName (Computer Modern) readonly def
/Weight (Medium) readonly def
/ItalicAngle -14.04 def
/isFixedPitch false def
end readonly def
/FontName /CMMI5 def
/PaintType 0 def
/FontType 1 def
/FontMatrix [0.001 0 0 0.001 0 0] readonly def
/Encoding 256 array
0 1 255 {1 index exch /.notdef put} for
dup 11 /alpha put
dup 12 /beta put
dup 21 /lambda put
dup 61 /slash put
dup 82 /R put
dup 100 /d put
dup 105 /i put
dup 106 /j put
dup 107 /k put
dup 110 /n put
dup 112 /p put
dup 113 /q put
dup 114 /r put
dup 115 /s put
readonly def
/FontBBox{37 -250 1349 750}readonly def
currentdict end
currentfile eexec
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cleartomark
%%EndFont 
%%BeginFont: CMR7
%!PS-AdobeFont-1.1: CMR7 1.0
%%CreationDate: 1991 Aug 20 16:39:21
% Copyright (C) 1997 American Mathematical Society. All Rights Reserved.
11 dict begin
/FontInfo 7 dict dup begin
/version (1.0) readonly def
/Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def
/FullName (CMR7) readonly def
/FamilyName (Computer Modern) readonly def
/Weight (Medium) readonly def
/ItalicAngle 0 def
/isFixedPitch false def
end readonly def
/FontName /CMR7 def
/PaintType 0 def
/FontType 1 def
/FontMatrix [0.001 0 0 0.001 0 0] readonly def
/Encoding 256 array
0 1 255 {1 index exch /.notdef put} for
dup 0 /Gamma put
dup 1 /Delta put
dup 10 /Omega put
dup 40 /parenleft put
dup 41 /parenright put
dup 43 /plus put
dup 44 /comma put
dup 45 /hyphen put
dup 46 /period put
dup 48 /zero put
dup 49 /one put
dup 50 /two put
dup 51 /three put
dup 52 /four put
dup 53 /five put
dup 54 /six put
dup 55 /seven put
dup 56 /eight put
dup 57 /nine put
dup 61 /equal put
dup 65 /A put
dup 66 /B put
dup 67 /C put
dup 68 /D put
dup 69 /E put
dup 70 /F put
dup 71 /G put
dup 73 /I put
dup 76 /L put
dup 77 /M put
dup 78 /N put
dup 79 /O put
dup 80 /P put
dup 82 /R put
dup 83 /S put
dup 84 /T put
dup 86 /V put
dup 87 /W put
dup 91 /bracketleft put
dup 93 /bracketright put
dup 126 /tilde put
readonly def
/FontBBox{-27 -250 1122 750}readonly def
currentdict end
currentfile eexec
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cleartomark
%%EndFont 
%%BeginFont: CMEX10
%!PS-AdobeFont-1.1: CMEX10 1.00
%%CreationDate: 1992 Jul 23 21:22:48
% Copyright (C) 1997 American Mathematical Society. All Rights Reserved.
11 dict begin
/FontInfo 7 dict dup begin
/version (1.00) readonly def
/Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def
/FullName (CMEX10) readonly def
/FamilyName (Computer Modern) readonly def
/Weight (Medium) readonly def
/ItalicAngle 0 def
/isFixedPitch false def
end readonly def
/FontName /CMEX10 def
/PaintType 0 def
/FontType 1 def
/FontMatrix [0.001 0 0 0.001 0 0] readonly def
/Encoding 256 array
0 1 255 {1 index exch /.notdef put} for
dup 0 /parenleftbig put
dup 1 /parenrightbig put
dup 2 /bracketleftbig put
dup 3 /bracketrightbig put
dup 10 /angbracketleftbig put
dup 11 /angbracketrightbig put
dup 16 /parenleftBig put
dup 17 /parenrightBig put
dup 18 /parenleftbigg put
dup 19 /parenrightbigg put
dup 32 /parenleftBigg put
dup 33 /parenrightBigg put
dup 34 /bracketleftBigg put
dup 35 /bracketrightBigg put
dup 80 /summationtext put
dup 82 /integraltext put
dup 88 /summationdisplay put
dup 90 /integraldisplay put
dup 112 /radicalbig put
readonly def
/FontBBox{-24 -2960 1454 772}readonly def
currentdict end
currentfile eexec
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cleartomark
%%EndFont 
%%BeginFont: CMMI7
%!PS-AdobeFont-1.1: CMMI7 1.100
%%CreationDate: 1996 Jul 23 07:53:53
% Copyright (C) 1997 American Mathematical Society. All Rights Reserved.
11 dict begin
/FontInfo 7 dict dup begin
/version (1.100) readonly def
/Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def
/FullName (CMMI7) readonly def
/FamilyName (Computer Modern) readonly def
/Weight (Medium) readonly def
/ItalicAngle -14.04 def
/isFixedPitch false def
end readonly def
/FontName /CMMI7 def
/PaintType 0 def
/FontType 1 def
/FontMatrix [0.001 0 0 0.001 0 0] readonly def
/Encoding 256 array
0 1 255 {1 index exch /.notdef put} for
dup 11 /alpha put
dup 12 /beta put
dup 13 /gamma put
dup 14 /delta put
dup 15 /epsilon1 put
dup 21 /lambda put
dup 27 /sigma put
dup 28 /tau put
dup 33 /omega put
dup 59 /comma put
dup 61 /slash put
dup 65 /A put
dup 66 /B put
dup 67 /C put
dup 72 /H put
dup 76 /L put
dup 77 /M put
dup 78 /N put
dup 80 /P put
dup 81 /Q put
dup 82 /R put
dup 84 /T put
dup 86 /V put
dup 89 /Y put
dup 99 /c put
dup 100 /d put
dup 104 /h put
dup 105 /i put
dup 106 /j put
dup 107 /k put
dup 108 /l put
dup 109 /m put
dup 110 /n put
dup 111 /o put
dup 112 /p put
dup 113 /q put
dup 114 /r put
dup 115 /s put
dup 116 /t put
dup 117 /u put
dup 120 /x put
dup 121 /y put
dup 122 /z put
readonly def
/FontBBox{0 -250 1171 750}readonly def
currentdict end
currentfile eexec
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cleartomark
%%EndFont 
%%BeginFont: CMSY10
%!PS-AdobeFont-1.1: CMSY10 1.0
%%CreationDate: 1991 Aug 15 07:20:57
% Copyright (C) 1997 American Mathematical Society. All Rights Reserved.
11 dict begin
/FontInfo 7 dict dup begin
/version (1.0) readonly def
/Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def
/FullName (CMSY10) readonly def
/FamilyName (Computer Modern) readonly def
/Weight (Medium) readonly def
/ItalicAngle -14.035 def
/isFixedPitch false def
end readonly def
/FontName /CMSY10 def
/PaintType 0 def
/FontType 1 def
/FontMatrix [0.001 0 0 0.001 0 0] readonly def
/Encoding 256 array
0 1 255 {1 index exch /.notdef put} for
dup 0 /minus put
dup 1 /periodcentered put
dup 2 /multiply put
dup 17 /equivalence put
dup 20 /lessequal put
dup 21 /greaterequal put
dup 24 /similar put
dup 26 /propersubset put
dup 33 /arrowright put
dup 49 /infinity put
dup 50 /element put
dup 56 /universal put
dup 66 /B put
dup 67 /C put
dup 76 /L put
dup 82 /R put
dup 92 /intersection put
dup 98 /floorleft put
dup 99 /floorright put
dup 102 /braceleft put
dup 103 /braceright put
dup 104 /angbracketleft put
dup 105 /angbracketright put
dup 106 /bar put
dup 107 /bardbl put
dup 110 /backslash put
dup 112 /radical put
dup 114 /nabla put
readonly def
/FontBBox{-29 -960 1116 775}readonly def
currentdict end
currentfile eexec
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cleartomark
%%EndFont 
%%BeginFont: CMMI10
%!PS-AdobeFont-1.1: CMMI10 1.100
%%CreationDate: 1996 Jul 23 07:53:57
% Copyright (C) 1997 American Mathematical Society. All Rights Reserved.
11 dict begin
/FontInfo 7 dict dup begin
/version (1.100) readonly def
/Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def
/FullName (CMMI10) readonly def
/FamilyName (Computer Modern) readonly def
/Weight (Medium) readonly def
/ItalicAngle -14.04 def
/isFixedPitch false def
end readonly def
/FontName /CMMI10 def
/PaintType 0 def
/FontType 1 def
/FontMatrix [0.001 0 0 0.001 0 0] readonly def
/Encoding 256 array
0 1 255 {1 index exch /.notdef put} for
dup 11 /alpha put
dup 12 /beta put
dup 13 /gamma put
dup 14 /delta put
dup 15 /epsilon1 put
dup 17 /eta put
dup 18 /theta put
dup 21 /lambda put
dup 22 /mu put
dup 24 /xi put
dup 25 /pi put
dup 26 /rho put
dup 27 /sigma put
dup 28 /tau put
dup 30 /phi put
dup 32 /psi put
dup 33 /omega put
dup 58 /period put
dup 59 /comma put
dup 60 /less put
dup 61 /slash put
dup 62 /greater put
dup 64 /partialdiff put
dup 65 /A put
dup 66 /B put
dup 67 /C put
dup 68 /D put
dup 70 /F put
dup 72 /H put
dup 73 /I put
dup 76 /L put
dup 77 /M put
dup 78 /N put
dup 81 /Q put
dup 82 /R put
dup 83 /S put
dup 84 /T put
dup 86 /V put
dup 87 /W put
dup 88 /X put
dup 89 /Y put
dup 90 /Z put
dup 97 /a put
dup 99 /c put
dup 100 /d put
dup 101 /e put
dup 102 /f put
dup 103 /g put
dup 104 /h put
dup 105 /i put
dup 106 /j put
dup 107 /k put
dup 108 /l put
dup 109 /m put
dup 110 /n put
dup 112 /p put
dup 113 /q put
dup 114 /r put
dup 115 /s put
dup 116 /t put
dup 117 /u put
dup 118 /v put
dup 119 /w put
dup 120 /x put
dup 121 /y put
dup 122 /z put
readonly def
/FontBBox{-32 -250 1048 750}readonly def
currentdict end
currentfile eexec
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cleartomark
%%EndFont 
%%BeginFont: CMCSC10
%!PS-AdobeFont-1.1: CMCSC10 1.0
%%CreationDate: 1991 Aug 18 17:46:49
% Copyright (C) 1997 American Mathematical Society. All Rights Reserved.
11 dict begin
/FontInfo 7 dict dup begin
/version (1.0) readonly def
/Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def
/FullName (CMCSC10) readonly def
/FamilyName (Computer Modern) readonly def
/Weight (Medium) readonly def
/ItalicAngle 0 def
/isFixedPitch false def
end readonly def
/FontName /CMCSC10 def
/PaintType 0 def
/FontType 1 def
/FontMatrix [0.001 0 0 0.001 0 0] readonly def
/Encoding 256 array
0 1 255 {1 index exch /.notdef put} for
dup 18 /grave put
dup 40 /parenleft put
dup 41 /parenright put
dup 44 /comma put
dup 45 /hyphen put
dup 46 /period put
dup 48 /zero put
dup 49 /one put
dup 50 /two put
dup 51 /three put
dup 53 /five put
dup 55 /seven put
dup 56 /eight put
dup 65 /A put
dup 67 /C put
dup 68 /D put
dup 69 /E put
dup 70 /F put
dup 73 /I put
dup 77 /M put
dup 80 /P put
dup 82 /R put
dup 83 /S put
dup 84 /T put
dup 85 /U put
dup 86 /V put
dup 88 /X put
dup 97 /a put
dup 98 /b put
dup 99 /c put
dup 100 /d put
dup 101 /e put
dup 102 /f put
dup 103 /g put
dup 104 /h put
dup 105 /i put
dup 107 /k put
dup 108 /l put
dup 109 /m put
dup 110 /n put
dup 111 /o put
dup 112 /p put
dup 113 /q put
dup 114 /r put
dup 115 /s put
dup 116 /t put
dup 117 /u put
dup 118 /v put
dup 119 /w put
dup 121 /y put
readonly def
/FontBBox{14 -250 1077 750}readonly def
currentdict end
currentfile eexec
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cleartomark
%%EndFont 
%%BeginFont: CMR10
%!PS-AdobeFont-1.1: CMR10 1.00B
%%CreationDate: 1992 Feb 19 19:54:52
% Copyright (C) 1997 American Mathematical Society. All Rights Reserved.
11 dict begin
/FontInfo 7 dict dup begin
/version (1.00B) readonly def
/Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def
/FullName (CMR10) readonly def
/FamilyName (Computer Modern) readonly def
/Weight (Medium) readonly def
/ItalicAngle 0 def
/isFixedPitch false def
end readonly def
/FontName /CMR10 def
/PaintType 0 def
/FontType 1 def
/FontMatrix [0.001 0 0 0.001 0 0] readonly def
/Encoding 256 array
0 1 255 {1 index exch /.notdef put} for
dup 0 /Gamma put
dup 1 /Delta put
dup 3 /Lambda put
dup 8 /Phi put
dup 9 /Psi put
dup 10 /Omega put
dup 11 /ff put
dup 12 /fi put
dup 13 /fl put
dup 14 /ffi put
dup 18 /grave put
dup 19 /acute put
dup 39 /quoteright put
dup 40 /parenleft put
dup 41 /parenright put
dup 43 /plus put
dup 44 /comma put
dup 45 /hyphen put
dup 46 /period put
dup 48 /zero put
dup 49 /one put
dup 50 /two put
dup 51 /three put
dup 52 /four put
dup 53 /five put
dup 54 /six put
dup 55 /seven put
dup 56 /eight put
dup 57 /nine put
dup 58 /colon put
dup 61 /equal put
dup 65 /A put
dup 66 /B put
dup 67 /C put
dup 68 /D put
dup 69 /E put
dup 70 /F put
dup 71 /G put
dup 72 /H put
dup 73 /I put
dup 74 /J put
dup 75 /K put
dup 76 /L put
dup 77 /M put
dup 78 /N put
dup 79 /O put
dup 80 /P put
dup 82 /R put
dup 83 /S put
dup 84 /T put
dup 85 /U put
dup 86 /V put
dup 87 /W put
dup 88 /X put
dup 89 /Y put
dup 91 /bracketleft put
dup 93 /bracketright put
dup 94 /circumflex put
dup 97 /a put
dup 98 /b put
dup 99 /c put
dup 100 /d put
dup 101 /e put
dup 102 /f put
dup 103 /g put
dup 104 /h put
dup 105 /i put
dup 106 /j put
dup 107 /k put
dup 108 /l put
dup 109 /m put
dup 110 /n put
dup 111 /o put
dup 112 /p put
dup 113 /q put
dup 114 /r put
dup 115 /s put
dup 116 /t put
dup 117 /u put
dup 118 /v put
dup 119 /w put
dup 120 /x put
dup 121 /y put
dup 122 /z put
dup 126 /tilde put
readonly def
/FontBBox{-251 -250 1009 969}readonly def
currentdict end
currentfile eexec
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%%EndFont 
%%BeginFont: TeX-cmex8
%!PS-AdobeFont-1.0: TeX-cmex8 001.001
% Filtered by type1fix.pl 0.05
%%EndComments
13 dict dup begin
/FontInfo 16 dict dup begin
/Copyright (see\040copyright\040of\040original\040TeX\040font) def
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end readonly def
/FontName /TeX-cmex8 def
/PaintType 0 def
/FontType 1 def
/FontMatrix [0.001 0 0 0.001 0 0] readonly def
/Encoding 256 array
0 1 255 {1 index exch /.notdef put} for
dup 82 /R put
readonly def
/FontBBox {-29 -2957 1554 772} readonly def
currentdict end
currentfile eexec
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%%EndFont 
%%BeginFont: CMR5
%!PS-AdobeFont-1.1: CMR5 1.00B
%%CreationDate: 1992 Feb 19 19:55:02
% Copyright (C) 1997 American Mathematical Society. All Rights Reserved.
11 dict begin
/FontInfo 7 dict dup begin
/version (1.00B) readonly def
/Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def
/FullName (CMR5) readonly def
/FamilyName (Computer Modern) readonly def
/Weight (Medium) readonly def
/ItalicAngle 0 def
/isFixedPitch false def
end readonly def
/FontName /CMR5 def
/PaintType 0 def
/FontType 1 def
/FontMatrix [0.001 0 0 0.001 0 0] readonly def
/Encoding 256 array
0 1 255 {1 index exch /.notdef put} for
dup 43 /plus put
dup 48 /zero put
dup 49 /one put
dup 50 /two put
dup 52 /four put
readonly def
/FontBBox{-341 -250 1304 965}readonly def
currentdict end
currentfile eexec
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cleartomark
%%EndFont 
%%BeginFont: CMMI6
%!PS-AdobeFont-1.1: CMMI6 1.100
%%CreationDate: 1996 Jul 23 07:53:52
% Copyright (C) 1997 American Mathematical Society. All Rights Reserved.
11 dict begin
/FontInfo 7 dict dup begin
/version (1.100) readonly def
/Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def
/FullName (CMMI6) readonly def
/FamilyName (Computer Modern) readonly def
/Weight (Medium) readonly def
/ItalicAngle -14.04 def
/isFixedPitch false def
end readonly def
/FontName /CMMI6 def
/PaintType 0 def
/FontType 1 def
/FontMatrix [0.001 0 0 0.001 0 0] readonly def
/Encoding 256 array
0 1 255 {1 index exch /.notdef put} for
dup 12 /beta put
dup 76 /L put
readonly def
/FontBBox{11 -250 1241 750}readonly def
currentdict end
currentfile eexec
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cleartomark
%%EndFont 
%%BeginFont: CMSY8
%!PS-AdobeFont-1.1: CMSY8 1.0
%%CreationDate: 1991 Aug 15 07:22:10
% Copyright (C) 1997 American Mathematical Society. All Rights Reserved.
11 dict begin
/FontInfo 7 dict dup begin
/version (1.0) readonly def
/Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def
/FullName (CMSY8) readonly def
/FamilyName (Computer Modern) readonly def
/Weight (Medium) readonly def
/ItalicAngle -14.035 def
/isFixedPitch false def
end readonly def
/FontName /CMSY8 def
/PaintType 0 def
/FontType 1 def
/FontMatrix [0.001 0 0 0.001 0 0] readonly def
/Encoding 256 array
0 1 255 {1 index exch /.notdef put} for
dup 50 /element put
dup 104 /angbracketleft put
dup 105 /angbracketright put
dup 106 /bar put
readonly def
/FontBBox{-30 -955 1185 779}readonly def
currentdict end
currentfile eexec
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cleartomark
%%EndFont 
%%BeginFont: CMR6
%!PS-AdobeFont-1.1: CMR6 1.0
%%CreationDate: 1991 Aug 20 16:39:02
% Copyright (C) 1997 American Mathematical Society. All Rights Reserved.
11 dict begin
/FontInfo 7 dict dup begin
/version (1.0) readonly def
/Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def
/FullName (CMR6) readonly def
/FamilyName (Computer Modern) readonly def
/Weight (Medium) readonly def
/ItalicAngle 0 def
/isFixedPitch false def
end readonly def
/FontName /CMR6 def
/PaintType 0 def
/FontType 1 def
/FontMatrix [0.001 0 0 0.001 0 0] readonly def
/Encoding 256 array
0 1 255 {1 index exch /.notdef put} for
dup 10 /Omega put
dup 48 /zero put
dup 49 /one put
dup 50 /two put
readonly def
/FontBBox{-20 -250 1193 750}readonly def
currentdict end
currentfile eexec
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cleartomark
%%EndFont 
%%BeginFont: CMMI8
%!PS-AdobeFont-1.1: CMMI8 1.100
%%CreationDate: 1996 Jul 23 07:53:54
% Copyright (C) 1997 American Mathematical Society. All Rights Reserved.
11 dict begin
/FontInfo 7 dict dup begin
/version (1.100) readonly def
/Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def
/FullName (CMMI8) readonly def
/FamilyName (Computer Modern) readonly def
/Weight (Medium) readonly def
/ItalicAngle -14.04 def
/isFixedPitch false def
end readonly def
/FontName /CMMI8 def
/PaintType 0 def
/FontType 1 def
/FontMatrix [0.001 0 0 0.001 0 0] readonly def
/Encoding 256 array
0 1 255 {1 index exch /.notdef put} for
dup 12 /beta put
dup 13 /gamma put
dup 59 /comma put
dup 62 /greater put
dup 65 /A put
dup 67 /C put
dup 72 /H put
dup 83 /S put
dup 86 /V put
dup 100 /d put
dup 117 /u put
dup 120 /x put
readonly def
/FontBBox{-24 -250 1110 750}readonly def
currentdict end
currentfile eexec
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cleartomark
%%EndFont 
%%BeginFont: CMR8
%!PS-AdobeFont-1.1: CMR8 1.0
%%CreationDate: 1991 Aug 20 16:39:40
% Copyright (C) 1997 American Mathematical Society. All Rights Reserved.
11 dict begin
/FontInfo 7 dict dup begin
/version (1.0) readonly def
/Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def
/FullName (CMR8) readonly def
/FamilyName (Computer Modern) readonly def
/Weight (Medium) readonly def
/ItalicAngle 0 def
/isFixedPitch false def
end readonly def
/FontName /CMR8 def
/PaintType 0 def
/FontType 1 def
/FontMatrix [0.001 0 0 0.001 0 0] readonly def
/Encoding 256 array
0 1 255 {1 index exch /.notdef put} for
dup 11 /ff put
dup 12 /fi put
dup 13 /fl put
dup 14 /ffi put
dup 18 /grave put
dup 19 /acute put
dup 20 /caron put
dup 39 /quoteright put
dup 40 /parenleft put
dup 41 /parenright put
dup 43 /plus put
dup 44 /comma put
dup 45 /hyphen put
dup 46 /period put
dup 48 /zero put
dup 49 /one put
dup 50 /two put
dup 51 /three put
dup 52 /four put
dup 53 /five put
dup 54 /six put
dup 55 /seven put
dup 56 /eight put
dup 57 /nine put
dup 58 /colon put
dup 61 /equal put
dup 65 /A put
dup 66 /B put
dup 67 /C put
dup 68 /D put
dup 69 /E put
dup 70 /F put
dup 71 /G put
dup 72 /H put
dup 73 /I put
dup 74 /J put
dup 75 /K put
dup 76 /L put
dup 77 /M put
dup 78 /N put
dup 79 /O put
dup 80 /P put
dup 82 /R put
dup 83 /S put
dup 84 /T put
dup 85 /U put
dup 86 /V put
dup 87 /W put
dup 88 /X put
dup 89 /Y put
dup 91 /bracketleft put
dup 93 /bracketright put
dup 94 /circumflex put
dup 97 /a put
dup 98 /b put
dup 99 /c put
dup 100 /d put
dup 101 /e put
dup 102 /f put
dup 103 /g put
dup 104 /h put
dup 105 /i put
dup 107 /k put
dup 108 /l put
dup 109 /m put
dup 110 /n put
dup 111 /o put
dup 112 /p put
dup 113 /q put
dup 114 /r put
dup 115 /s put
dup 116 /t put
dup 117 /u put
dup 118 /v put
dup 119 /w put
dup 120 /x put
dup 121 /y put
dup 122 /z put
dup 123 /endash put
dup 127 /dieresis put
readonly def
/FontBBox{-36 -250 1070 750}readonly def
currentdict end
currentfile eexec
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cleartomark
%%EndFont 
%%BeginFont: CMBX10
%!PS-AdobeFont-1.1: CMBX10 1.00B
%%CreationDate: 1992 Feb 19 19:54:06
% Copyright (C) 1997 American Mathematical Society. All Rights Reserved.
11 dict begin
/FontInfo 7 dict dup begin
/version (1.00B) readonly def
/Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def
/FullName (CMBX10) readonly def
/FamilyName (Computer Modern) readonly def
/Weight (Bold) readonly def
/ItalicAngle 0 def
/isFixedPitch false def
end readonly def
/FontName /CMBX10 def
/PaintType 0 def
/FontType 1 def
/FontMatrix [0.001 0 0 0.001 0 0] readonly def
/Encoding 256 array
0 1 255 {1 index exch /.notdef put} for
dup 12 /fi put
dup 14 /ffi put
dup 40 /parenleft put
dup 41 /parenright put
dup 45 /hyphen put
dup 46 /period put
dup 49 /one put
dup 50 /two put
dup 51 /three put
dup 52 /four put
dup 53 /five put
dup 54 /six put
dup 55 /seven put
dup 58 /colon put
dup 65 /A put
dup 66 /B put
dup 67 /C put
dup 68 /D put
dup 69 /E put
dup 70 /F put
dup 71 /G put
dup 73 /I put
dup 76 /L put
dup 77 /M put
dup 78 /N put
dup 79 /O put
dup 80 /P put
dup 82 /R put
dup 83 /S put
dup 84 /T put
dup 85 /U put
dup 86 /V put
dup 87 /W put
dup 97 /a put
dup 98 /b put
dup 99 /c put
dup 100 /d put
dup 101 /e put
dup 102 /f put
dup 103 /g put
dup 104 /h put
dup 105 /i put
dup 106 /j put
dup 107 /k put
dup 108 /l put
dup 109 /m put
dup 110 /n put
dup 111 /o put
dup 112 /p put
dup 113 /q put
dup 114 /r put
dup 115 /s put
dup 116 /t put
dup 117 /u put
dup 118 /v put
dup 119 /w put
dup 120 /x put
dup 121 /y put
readonly def
/FontBBox{-301 -250 1164 946}readonly def
currentdict end
currentfile eexec
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end
%%Page: 11 11
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b(k)p Fo(u)1350 2957 y Fk(0)1386 2945 y Fn(k)1428 2957
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3124 y Fn(k)1860 3136 y Fi(1)1948 3124 y Fq(+)18 b Fo(T)56
b Fq(max)2105 3178 y Fk(0)p Fi(\024)p Fm(s)p Fi(\024)p
Fm(T)2335 3124 y Fn(k)p Fo(u)2425 3090 y Fm(j)s Fi(\000)p
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Fo(u)1350 3315 y Fk(0)1386 3303 y Fn(k)1428 3315 y Fi(1)1498
3303 y Fo(T)29 b Fq(+)18 b Fn(k)p Fo(u)1749 3315 y Fk(0)1785
3303 y Fn(k)1827 3315 y Fi(1)1897 3303 y Fo(T)1958 3268
y Fk(2)2013 3303 y Fq(+)g Fo(:)c(:)g(:)k Fq(+)g Fn(k)p
Fo(u)2384 3315 y Fk(0)2421 3303 y Fn(k)2463 3315 y Fi(1)2533
3303 y Fo(T)2594 3268 y Fm(j)2646 3303 y Fq(+)g Fo(T)2790
3268 y Fm(j)s Fk(+1)2908 3303 y Fn(k)p Fo(u)2998 3268
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3493 y Fi(1)1508 3425 y Fq(1)18 b Fn(\000)g Fo(T)1712
3395 y Fm(j)s Fk(+1)p 1508 3462 323 4 v 1567 3538 a Fq(1)g
Fn(\000)g Fo(T)1858 3481 y Fq(+)g Fo(T)2002 3447 y Fm(j)s
Fk(+1)2120 3481 y Fn(k)p Fo(u)2210 3493 y Fk(0)2246 3481
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Fo(T)2953 3481 y Fq(=)23 b Fo(C)3100 3493 y Fk(0)386
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b(,)41 b(w)n(e)e(ha)n(v)n(e)g(assumed)g Fo(T)54 b(<)43
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y(eac)n(h)28 b(iterate)h Fo(u)887 3766 y Fm(j)951 3796
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b(for)f(all)386 3896 y Fo(t)f Fn(2)g Fq([0)p Fo(;)14
b(T)e Fq(].)42 b(The)30 b Fo(L)1006 3866 y Fi(1)1105
3896 y Fq(b)r(ounds)g(allo)n(w)f(the)h(use)g(of)f(the)h(Moser)f
(estimates)g(\(14\).)44 b(F)-7 b(or)29 b(in)n(teger)386
3995 y Fo(k)d Fn(\024)c Fo(r)g Fq(+)c(1)27 b(w)n(e)g(ha)n(v)n(e)386
4228 y Fn(k)p Fo(u)476 4194 y Fm(j)s Fk(+1)594 4228 y
Fq(\()p Fo(t)p Fq(\))p Fn(k)730 4240 y Fm(k)854 4228
y Fn(\024)83 b(k)p Fo(e)1083 4194 y Fm(tL)1156 4228 y
Fo(u)1204 4240 y Fk(0)1241 4228 y Fn(k)1283 4240 y Fm(k)1342
4228 y Fq(+)1425 4115 y Fl(Z)1508 4136 y Fm(t)1471 4304
y Fk(0)1551 4228 y Fn(k)p Fo(e)1632 4194 y Fk(\()p Fm(t)p
Fi(\000)p Fm(s)p Fk(\))p Fm(L)1841 4228 y Fo(X)7 b Fq(\()p
Fo(u)1997 4194 y Fm(j)2031 4228 y Fq(\()p Fo(s)p Fq(\)\))p
Fn(k)2208 4240 y Fm(k)2263 4228 y Fo(ds)854 4411 y Fn(\024)83
b(k)p Fo(e)1083 4377 y Fm(tL)1156 4411 y Fo(u)1204 4423
y Fk(0)1241 4411 y Fn(k)1283 4423 y Fm(k)1342 4411 y
Fq(+)18 b Fo(C)1484 4423 y Fk(0)1522 4411 y Fo(T)55 b
Fq(max)1596 4465 y Fk(0)p Fi(\024)p Fm(s)p Fi(\024)p
Fm(T)1812 4411 y Fq(\(1)18 b(+)g Fn(k)p Fo(u)2077 4377
y Fm(j)2111 4411 y Fq(\()p Fo(s)p Fq(\))p Fn(k)2256 4423
y Fm(k)2297 4411 y Fq(\))854 4591 y Fn(\024)83 b(k)p
Fo(e)1083 4557 y Fm(tL)1156 4591 y Fo(u)1204 4603 y Fk(0)1241
4591 y Fn(k)1283 4603 y Fm(k)1342 4591 y Fq(+)18 b Fo(C)1484
4603 y Fk(0)1522 4591 y Fo(T)12 b Fq(\(1)17 b(+)h Fn(k)p
Fo(u)1847 4603 y Fk(0)1883 4591 y Fn(k)1925 4603 y Fm(k)1984
4591 y Fq(+)g Fo(C)2126 4603 y Fk(0)2164 4591 y Fo(T)55
b Fq(max)2238 4645 y Fk(0)p Fi(\024)p Fm(s)p Fi(\024)p
Fm(T)2454 4591 y Fq(\(1)18 b(+)g Fn(k)p Fo(u)2719 4557
y Fm(j)s Fi(\000)p Fk(1)2838 4591 y Fq(\()p Fo(s)p Fq(\))p
Fn(k)2983 4603 y Fm(k)3024 4591 y Fq(\)\))24 b Fn(\024)e
Fo(:)14 b(:)g(:)854 4771 y Fn(\024)83 b(k)p Fo(e)1083
4737 y Fm(tL)1156 4771 y Fo(u)1204 4783 y Fk(0)1241 4771
y Fn(k)1283 4783 y Fm(k)1342 4771 y Fq(+)18 b Fo(C)1484
4783 y Fk(0)1522 4771 y Fo(T)12 b Fq(\(1)17 b(+)h Fn(k)p
Fo(u)1847 4783 y Fk(0)1883 4771 y Fn(k)1925 4783 y Fm(k)1966
4771 y Fq(\))g(+)g Fo(:)c(:)g(:)19 b Fq(+)f(\()p Fo(C)2389
4783 y Fk(0)2427 4771 y Fo(T)12 b Fq(\))2520 4737 y Fm(j)2554
4771 y Fq(\(1)18 b(+)g Fn(k)p Fo(u)2819 4783 y Fk(0)2855
4771 y Fn(k)2897 4783 y Fm(k)2938 4771 y Fq(\))h(+)f(\()p
Fo(C)3163 4783 y Fk(0)3200 4771 y Fo(T)12 b Fq(\))3293
4737 y Fm(j)s Fk(+1)3412 4771 y Fq(\(1)18 b(+)g Fn(k)p
Fo(u)3677 4783 y Fk(0)3713 4771 y Fn(k)3755 4783 y Fm(k)3796
4771 y Fq(\))854 4943 y Fn(\024)125 b Fq(sup)1002 5013
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Fn(k)p Fo(e)1306 4909 y Fm(tL)1380 4943 y Fo(u)1428 4955
y Fk(0)1465 4943 y Fn(k)1507 4955 y Fm(k)1566 4943 y
Fq(+)1659 4887 y(\(1)18 b(+)g Fn(k)p Fo(u)1924 4899 y
Fk(0)1961 4887 y Fn(k)2003 4899 y Fm(k)2043 4887 y Fq(\))p
1659 4924 417 4 v 1717 5000 a(1)g Fn(\000)g Fo(C)1919
5012 y Fk(0)1957 5000 y Fo(T)2108 4943 y Fq(=)23 b Fo(C)2255
4955 y Fm(k)2296 4943 y Fo(:)3310 5182 y Fe(\003)486
5403 y Fq(W)-7 b(e)19 b(ha)n(v)n(e)e(assumed)h(that)h
Fo(T)12 b(C)1417 5415 y Fk(0)1477 5403 y Fo(<)22 b Fq(1)d(and)f
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Fo(T)34 b(<)3183 5371 y Fk(1)p 3057 5385 285 4 v 3057
5432 a(1+)p Fi(k)p Fm(u)3214 5440 y Fs(0)3247 5432 y
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%%Page: 14 14
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y Fm(j)873 657 y Fq(\()p Fo(t)p Fq(\))p Fn(k)1009 669
y Fm(r)1128 657 y Fn(\024)1276 544 y Fl(Z)1359 564 y
Fm(t)1322 732 y Fk(0)1402 657 y Fn(k)p Fo(e)1483 622
y Fk(\()p Fm(t)p Fi(\000)p Fm(s)p Fk(\))p Fm(L)1692 657
y Fq([)p Fo(X)7 b Fq(\()p Fo(u)1871 622 y Fm(j)1905 657
y Fq(\()p Fo(s)p Fq(\)\))20 b Fn(\000)e Fo(X)7 b Fq(\()p
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838 y Fn(\024)83 b Fo(t)33 b Fq(max)1320 892 y Fk(0)p
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b Fq(\()p Fo(u)1725 804 y Fm(j)1759 838 y Fq(\()p Fo(s)p
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y Fm(j)s Fi(\000)p Fk(1)2271 838 y Fq(\()p Fo(s)p Fq(\)\))p
Fn(k)2448 850 y Fm(r)1128 1017 y Fn(\024)83 b Fo(t)33
b Fq(max)1320 1071 y Fk(0)p Fi(\024)p Fm(s)p Fi(\024)p
Fm(t)1527 1017 y Fo(C)6 b Fn(j)p Fo(V)19 b Fn(j)1705
1029 y Fm(r)1742 1017 y Fo(C)1801 1029 y Fk(0)1839 1017
y Fq(\(1)f(+)g Fn(k)p Fo(u)2104 983 y Fm(j)2138 1017
y Fq(\()p Fo(s)p Fq(\))p Fn(k)2283 1029 y Fm(r)2338 1017
y Fq(+)g Fn(k)p Fo(u)2511 983 y Fm(j)s Fi(\000)p Fk(1)2630
1017 y Fq(\()p Fo(s)p Fq(\))p Fn(k)2775 1029 y Fm(r)2812
1017 y Fq(\))p Fn(k)p Fo(u)2934 983 y Fm(j)2968 1017
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1029 y Fm(r)1128 1196 y Fn(\024)83 b Fo(t)33 b Fq(max)1320
1249 y Fk(0)p Fi(\024)p Fm(s)p Fi(\024)p Fm(t)1527 1196
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1161 y Fm(j)1754 1196 y Fq(\()p Fo(s)p Fq(\))19 b Fn(\000)f
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1384 y Fq(where)27 b Fo(C)691 1354 y Fi(\003)757 1384
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y Fm(r)1343 1384 y Fq(,)28 b Fo(C)1453 1396 y Fk(0)1491
1384 y Fq(,)f(and)h Fo(C)1762 1396 y Fm(r)1799 1384 y
Fq(.)37 b(So)27 b(w)n(e)g(ha)n(v)n(e)860 1531 y(max)832
1585 y Fk(0)p Fi(\024)p Fm(t)p Fi(\024)p Fm(T)1056 1531
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1531 y Fq(\()p Fo(t)p Fq(\))p Fn(k)1679 1543 y Fm(r)1738
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1497 y Fm(j)s Fi(\000)p Fk(1)2724 1531 y Fq(\()p Fo(s)p
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Fo(t)p Fq(\))h(is)f(Cauc)n(h)n(y)g(in)386 1833 y Fo(H)462
1803 y Fm(r)498 1833 y Fq(.)57 b(The)35 b(argumen)n(t)e(for)h(this)g
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Fn(k)p Fo(u)2923 1803 y Fm(j)s Fk(+1)3064 1833 y Fn(\000)23
b Fo(u)3200 1803 y Fm(j)3234 1833 y Fn(k)34 b(\024)396
1900 y Fk(1)p 396 1914 34 4 v 396 1961 a(2)439 1933 y
Fn(k)p Fo(u)529 1903 y Fm(j)580 1933 y Fn(\000)17 b Fo(u)710
1903 y Fm(j)s Fi(\000)p Fk(1)830 1933 y Fn(k)p Fq(,)26
b(then)i Fn(k)p Fo(u)1200 1903 y Fm(j)s Fk(+1)1335 1933
y Fn(\000)17 b Fo(u)1465 1903 y Fm(j)1500 1933 y Fn(k)22
b(\024)h Fq(\()1694 1900 y Fk(1)p 1694 1914 V 1694 1961
a(2)1737 1933 y Fq(\))1769 1903 y Fm(j)1804 1933 y Fn(k)p
Fo(u)1894 1903 y Fk(1)1948 1933 y Fn(\000)17 b Fo(u)2078
1903 y Fk(0)2115 1933 y Fn(k)p Fq(.)36 b(So)27 b(for)f(an)n(y)g
Fo(\017)d(>)g Fq(0,)j(c)n(ho)r(ose)g Fo(N)36 b Fq(suc)n(h)386
2040 y(that)28 b(\()608 2007 y Fk(1)p 608 2021 V 608
2068 a(2)651 2040 y Fq(\))683 2010 y Fm(N)6 b Fi(\000)p
Fk(1)831 2040 y Fn(k)p Fo(u)921 2010 y Fk(1)976 2040
y Fn(\000)18 b Fo(u)1107 2010 y Fk(0)1144 2040 y Fn(k)k
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Fo(u)608 2197 y Fm(m)689 2232 y Fn(\000)18 b Fo(u)820
2197 y Fm(n)864 2232 y Fn(k)83 b(\024)1147 2175 y Fq(1)p
1147 2212 42 4 v 1147 2289 a(2)1198 2232 y Fn(k)p Fo(u)1288
2197 y Fm(m)1369 2232 y Fn(\000)18 b Fo(u)1500 2197 y
Fm(m)p Fi(\000)p Fk(1)1647 2232 y Fn(k)g Fq(+)1800 2175
y(1)p 1800 2212 V 1800 2289 a(2)1852 2232 y Fn(k)p Fo(u)1942
2197 y Fm(m)p Fi(\000)p Fk(1)2107 2232 y Fn(\000)g Fo(u)2238
2197 y Fm(m)p Fi(\000)p Fk(2)2386 2232 y Fn(k)g Fq(+)g
Fo(:)c(:)g(:)k Fq(+)2737 2175 y(1)p 2737 2212 V 2737
2289 a(2)2788 2232 y Fn(k)p Fo(u)2878 2197 y Fm(n)p Fk(+1)3025
2232 y Fn(\000)g Fo(u)3156 2197 y Fm(n)3201 2232 y Fn(k)989
2467 y(\024)1137 2325 y Fl(")1185 2350 y(\022)1256 2411
y Fq(1)p 1256 2448 V 1256 2524 a(2)1308 2350 y Fl(\023)1369
2367 y Fm(m)p Fi(\000)p Fk(1)1535 2467 y Fq(+)1618 2350
y Fl(\022)1689 2411 y Fq(1)p 1689 2448 V 1689 2524 a(2)1741
2350 y Fl(\023)1802 2367 y Fm(m)p Fi(\000)p Fk(2)1968
2467 y Fq(+)g Fo(:)c(:)g(:)19 b Fq(+)2250 2350 y Fl(\022)2321
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2367 y Fm(n)2479 2325 y Fl(#)2541 2467 y Fn(k)p Fo(u)2631
2433 y Fk(1)2686 2467 y Fn(\000)f Fo(u)2817 2433 y Fk(0)2853
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Fn(k)p Fo(u)2602 2707 y Fk(1)2657 2741 y Fn(\000)g Fo(u)2788
2707 y Fk(0)2825 2741 y Fn(k)989 2991 y(\024)1137 2874
y Fl(\022)1208 2935 y Fq(1)p 1208 2972 V 1208 3048 a(2)1259
2874 y Fl(\023)1320 2891 y Fm(m)p Fi(\000)p Fk(1)1482
2991 y Fq(2)1524 2956 y Fm(m)p Fi(\000)p Fm(n)1680 2991
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2874 y Fl(\022)2215 2935 y Fq(1)p 2215 2972 V 2215 3048
a(2)2267 2874 y Fl(\023)2328 2891 y Fm(n)p Fi(\000)p
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y Fm(t)2243 3343 y Fg(satis\014es)g(a)g(c)l(omp)l(arison)i(principle)
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3706 y Fo(u)434 3676 y Fm(j)491 3706 y Fn(!)f Fo(u)646
3676 y Fi(1)743 3706 y Fq(in)k Fo(C)6 b Fq(\([0)p Fo(;)14
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3726 y(t)2682 3706 y Fo(u)2730 3718 y Fk(0)2767 3706
y Fq(\()p Fo(x)p Fq(\))29 b(m)n(ust)f(satisfy)1057 3911
y Fo(u)1105 3877 y Fi(1)1175 3911 y Fq(\()p Fo(t;)14
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2452 y Fq(\()p Fo(\015)5 b(u)17 b Fn(\000)i Fo(V)2726
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Fm(\014)2368 2934 y Fq(\()p Fo(\015)5 b(u)18 b Fq(+)g
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2934 y Fq(\()p Fo(x;)c(u)19 b Fq(+)f Fo(l)r Fq(\)\))783
3076 y(=)k Fo(\015)918 3042 y Fk(1)p Fi(\000)p Fm(\014)1048
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3076 y Fq(\()p Fo(x;)c(u)p Fq(\)\))23 b(=)g Fo(\015)2250
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3372 y Fm(t)1286 3360 y Fo(u)1334 3372 y Fk(0)1371 3360
y Fq(\))h(=)g Fo(L)p Fq(\()p Fo(u)p Fq(\()p Fo(x;)14
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Fo(\015)g Fq(+)18 b Fo(A)p Fq(\))2440 3325 y Fk(1)p Fi(\000)p
Fm(\014)2570 3360 y Fq(\()p Fo(u)p Fq(\()p Fo(x;)c(t)p
Fq(\))19 b(+)f Fo(l)r Fq(\))925 3502 y(=)k Fn(\000)p
Fo(\015)1125 3467 y Fk(1)p Fi(\000)p Fm(\014)1254 3502
y Fo(l)e Fn(\000)e Fq(\()p Fo(\015)24 b Fq(+)18 b Fo(A)p
Fq(\))1658 3467 y Fk(1)p Fi(\000)p Fm(\014)1788 3502
y Fo(u)p Fq(\()p Fo(x;)c(t)p Fq(\))23 b(=)g Fn(\000)p
Fo(\015)2238 3467 y Fk(1)p Fi(\000)p Fm(\014)2367 3502
y Fo(l)d Fq(+)e Fo(L)p Fq(\(\010)2644 3514 y Fm(t)2673
3502 y Fo(u)2721 3514 y Fk(0)2758 3502 y Fq(\))p Fo(:)486
3649 y Fq(Therefore)39 b Fo(L)p Fq(\010)992 3661 y Fm(t)1021
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b Fq(\(\010)1393 3661 y Fm(t)1422 3649 y Fo(u)1470 3661
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3661 y Fm(t)3180 3649 y Fo(u)3228 3661 y Fk(0)3310 3649
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b Fq(\(\010)885 3760 y Fm(t)913 3748 y Fo(u)961 3760
y Fk(0)998 3748 y Fq(\))24 b(=)e Fo(LY)1246 3760 y Fm(l)1289
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Fo(Y)3071 3760 y Fm(l)3097 3748 y Fq(\()p Fo(x;)14 b
Fq(0\))23 b(=)386 3848 y Fo(u)434 3860 y Fk(0)471 3848
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y Fm(t)1084 3848 y Fn(R)1154 3860 y Fm(l)1179 3848 y
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y Fm(l)1681 3848 y Fo(u)1729 3860 y Fk(0)1766 3848 y
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4331 y(No)n(w)i(de\014ne)i Fo(Z)975 4343 y Fm(k)1016
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4331 y Fo(u)1533 4343 y Fk(0)1596 4331 y Fq(=)g Fo(u)p
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y Fk(2)2929 4331 y Fq(ensures)f(that)386 4431 y Fn(C)430
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5052 y Fk(0)2865 5040 y Fq(\()p Fo(x)12 b Fq(+)g Fo(k)s
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(3.6.)486 5423 y(No)n(w)19 b(supp)r(ose)g Fo(u)1019 5435
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Black Black eop end
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