This is a multi-part message in MIME format. ---------------0511201556344 Content-Type: text/plain; name="05-396.keywords" Content-Transfer-Encoding: 7bit Content-Disposition: attachment; filename="05-396.keywords" eigenvalues, gap of the essential spectrum, bound states, Dirac operators ---------------0511201556344 Content-Type: application/postscript; name="gaps-roma9.ps" Content-Transfer-Encoding: 7bit Content-Disposition: inline; filename="gaps-roma9.ps" %!PS-Adobe-2.0 %%Creator: dvips(k) 5.94b Copyright 2004 Radical Eye Software %%Title: gaps-roma9.dvi %%Pages: 11 %%PageOrder: Ascend %%BoundingBox: 0 0 595 842 %%DocumentFonts: CMSL12 CMR12 CMSY8 CMSL10 CMR10 CMSS10 CMSY10 CMBX10 %%+ CMBX12 CMSY6 CMR9 CMMI10 CMSY7 CMR7 CMMI7 CMSY5 CMR5 CMTI10 CMMI5 %%+ MSBM10 CMEX10 CMR8 CMMI8 %%DocumentPaperSizes: a4 %%EndComments %DVIPSWebPage: (www.radicaleye.com) %DVIPSCommandLine: %+ /usr/local/teTeX/bin/powerpc-apple-darwin-current/dvips -R -u %+ +pdftex.map -u +Ttbbold.map -u +wolfram.map -o %+ /tmp/altpdflatex.839-1127204927/gaps-roma9.ps gaps-roma9.dvi %DVIPSParameters: dpi=600 %DVIPSSource: TeX output 2005.09.20:1028 %%BeginProcSet: tex.pro 0 0 %! /TeXDict 300 dict def TeXDict begin/N{def}def/B{bind def}N/S{exch}N/X{S N}B/A{dup}B/TR{translate}N/isls false N/vsize 11 72 mul N/hsize 8.5 72 mul N/landplus90{false}def/@rigin{isls{[0 landplus90{1 -1}{-1 1}ifelse 0 0 0]concat}if 72 Resolution div 72 VResolution div neg scale isls{ landplus90{VResolution 72 div vsize mul 0 exch}{Resolution -72 div hsize mul 0}ifelse TR}if Resolution VResolution vsize -72 div 1 add mul TR[ matrix currentmatrix{A A round sub abs 0.00001 lt{round}if}forall round exch round exch]setmatrix}N/@landscape{/isls true N}B/@manualfeed{ statusdict/manualfeed true put}B/@copies{/#copies X}B/FMat[1 0 0 -1 0 0] N/FBB[0 0 0 0]N/nn 0 N/IEn 0 N/ctr 0 N/df-tail{/nn 8 dict N nn begin /FontType 3 N/FontMatrix fntrx N/FontBBox FBB N string/base X array /BitMaps X/BuildChar{CharBuilder}N/Encoding IEn N end A{/foo setfont}2 array copy cvx N load 0 nn put/ctr 0 N[}B/sf 0 N/df{/sf 1 N/fntrx FMat N df-tail}B/dfs{div/sf X/fntrx[sf 0 0 sf neg 0 0]N df-tail}B/E{pop nn A definefont setfont}B/Cw{Cd A length 5 sub get}B/Ch{Cd A length 4 sub get }B/Cx{128 Cd A length 3 sub get sub}B/Cy{Cd A length 2 sub get 127 sub} B/Cdx{Cd A length 1 sub get}B/Ci{Cd A type/stringtype ne{ctr get/ctr ctr 1 add N}if}B/CharBuilder{save 3 1 roll S A/base get 2 index get S /BitMaps get S get/Cd X pop/ctr 0 N Cdx 0 Cx Cy Ch sub Cx Cw add Cy setcachedevice Cw Ch true[1 0 0 -1 -.1 Cx sub Cy .1 sub]{Ci}imagemask restore}B/D{/cc X A type/stringtype ne{]}if nn/base get cc ctr put nn /BitMaps get S ctr S sf 1 ne{A A length 1 sub A 2 index S get sf div put }if put/ctr ctr 1 add N}B/I{cc 1 add D}B/bop{userdict/bop-hook known{ bop-hook}if/SI save N @rigin 0 0 moveto/V matrix currentmatrix A 1 get A mul exch 0 get A mul add .99 lt{/QV}{/RV}ifelse load def pop pop}N/eop{ SI restore userdict/eop-hook known{eop-hook}if showpage}N/@start{ userdict/start-hook known{start-hook}if pop/VResolution X/Resolution X 1000 div/DVImag X/IEn 256 array N 2 string 0 1 255{IEn S A 360 add 36 4 index cvrs cvn put}for pop 65781.76 div/vsize X 65781.76 div/hsize X}N /p{show}N/RMat[1 0 0 -1 0 0]N/BDot 260 string N/Rx 0 N/Ry 0 N/V{}B/RV/v{ /Ry X/Rx X V}B statusdict begin/product where{pop false[(Display)(NeXT) (LaserWriter 16/600)]{A length product length le{A length product exch 0 exch getinterval eq{pop true exit}if}{pop}ifelse}forall}{false}ifelse end{{gsave TR -.1 .1 TR 1 1 scale Rx Ry false RMat{BDot}imagemask grestore}}{{gsave TR -.1 .1 TR Rx Ry scale 1 1 false RMat{BDot} imagemask grestore}}ifelse B/QV{gsave newpath transform round exch round exch itransform moveto Rx 0 rlineto 0 Ry neg rlineto Rx neg 0 rlineto fill grestore}B/a{moveto}B/delta 0 N/tail{A/delta X 0 rmoveto}B/M{S p delta add tail}B/b{S p tail}B/c{-4 M}B/d{-3 M}B/e{-2 M}B/f{-1 M}B/g{0 M} B/h{1 M}B/i{2 M}B/j{3 M}B/k{4 M}B/w{0 rmoveto}B/l{p -4 w}B/m{p -3 w}B/n{ p -2 w}B/o{p -1 w}B/q{p 1 w}B/r{p 2 w}B/s{p 3 w}B/t{p 4 w}B/x{0 S rmoveto}B/y{3 2 roll p a}B/bos{/SS save N}B/eos{SS restore}B end %%EndProcSet %%BeginProcSet: texps.pro 0 0 %! 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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 43 /plus put dup 49 /one put dup 50 /two put dup 51 /three put readonly def /FontBBox{-36 -250 1070 750}readonly def /UniqueID 5000791 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 14 /delta put dup 15 /epsilon1 put dup 21 /lambda put dup 23 /nu put dup 27 /sigma put dup 28 /tau put dup 30 /phi put dup 31 /chi 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 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 80 /P put dup 81 /Q put dup 86 /V put dup 97 /a put dup 98 /b put dup 99 /c put dup 101 /e put dup 105 /i put dup 106 /j put dup 107 /k put dup 110 /n put dup 120 /x put readonly def /FontBBox{-32 -250 1048 750}readonly def /UniqueID 5087385 def currentdict end currentfile eexec D9D66F633B846A97B686A97E45A3D0AA0529731C99A784CCBE85B4993B2EEBDE 3B12D472B7CF54651EF21185116A69AB1096ED4BAD2F646635E019B6417CC77B 532F85D811C70D1429A19A5307EF63EB5C5E02C89FC6C20F6D9D89E7D91FE470 B72BEFDA23F5DF76BE05AF4CE93137A219ED8A04A9D7D6FDF37E6B7FCDE0D90B 986423E5960A5D9FBB4C956556E8DF90CBFAEC476FA36FD9A5C8175C9AF513FE D919C2DDD26BDC0D99398B9F4D03D5993DFC0930297866E1CD0A319B6B1FD958 9E394A533A081C36D456A09920001A3D2199583EB9B84B4DEE08E3D12939E321 990CD249827D9648574955F61BAAA11263A91B6C3D47A5190165B0C25ABF6D3E 6EC187E4B05182126BB0D0323D943170B795255260F9FD25F2248D04F45DFBFB DEF7FF8B19BFEF637B210018AE02572B389B3F76282BEB29CC301905D388C721 59616893E774413F48DE0B408BC66DCE3FE17CB9F84D205839D58014D6A88823 D9320AE93AF96D97A02C4D5A2BB2B8C7925C4578003959C46E3CE1A2F0EAC4BF 8B9B325E46435BDE60BC54D72BC8ACB5C0A34413AC87045DC7B84646A324B808 6FD8E34217213E131C3B1510415CE45420688ED9C1D27890EC68BD7C1235FAF9 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BEC89F974AD5993C1CA324B0920C1BEF299F6F9F21309FB3A256FAF763AA0A81 16B8C6542CF597D423E4FBAA9A1716511216710595A59E1BB84ECBE933C50DAA 52CC071D713ADF90CA9C2F56F5080EF6C8CFBAFB135794E2140FDDAB7CB3D5A0 D66A675D307471904DD7C2B21A5AA62FD7A8965030C7D4F09A 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 cleartomark %%EndFont %%BeginFont: CMSL10 %!PS-AdobeFont-1.1: CMSL10 1.0 %%CreationDate: 1991 Aug 20 16:40:20 % 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 (CMSL10) readonly def /FamilyName (Computer Modern) readonly def /Weight (Medium) readonly def /ItalicAngle -9.46 def /isFixedPitch false def end readonly def /FontName /CMSL10 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 19 /acute 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 51 /three put dup 52 /four put dup 53 /five put dup 54 /six put dup 55 /seven put dup 65 /A put dup 67 /C put dup 68 /D put dup 70 /F put dup 76 /L put dup 77 /M put dup 78 /N put dup 80 /P put dup 82 /R 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 107 /k put dup 108 /l put dup 109 /m put dup 110 /n put dup 111 /o put dup 112 /p 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{-62 -250 1123 750}readonly def /UniqueID 5000798 def currentdict end currentfile eexec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0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 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 40 /parenleft put dup 41 /parenright 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 65 /A put dup 67 /C put dup 69 /E put dup 80 /P put dup 84 /T put dup 97 /a put dup 98 /b put dup 99 /c put dup 101 /e put dup 104 /h put dup 105 /i put dup 108 /l put dup 109 /m put dup 111 /o put dup 112 /p 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 readonly def /FontBBox{-301 -250 1164 946}readonly def /UniqueID 5000768 def currentdict end 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0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 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 16 /parenleftBig put dup 17 /parenrightBig put dup 18 /parenleftbigg put dup 19 /parenrightbigg put dup 32 /parenleftBigg put dup 33 /parenrightBigg put dup 88 /summationdisplay put dup 104 /bracketleftBig put dup 105 /bracketrightBig put dup 112 /radicalbig put dup 113 /radicalBig put readonly def /FontBBox{-24 -2960 1454 772}readonly def /UniqueID 5000774 def currentdict end currentfile eexec D9D66F633B846A97B686A97E45A3D0AA052A014267B7904EB3C0D3BD0B83D891 016CA6CA4B712ADEB258FAAB9A130EE605E61F77FC1B738ABC7C51CD46EF8171 9098D5FEE67660E69A7AB91B58F29A4D79E57022F783EB0FBBB6D4F4EC35014F 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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 82 /R put readonly def /FontBBox{-55 -420 2343 920}readonly def /UniqueID 5031982 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 25 /pi put dup 28 /tau put dup 105 /i put dup 106 /j put dup 107 /k put readonly def /FontBBox{37 -250 1349 750}readonly def /UniqueID 5087380 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 1 /Delta put dup 3 /Lambda put dup 11 /ff put dup 12 /fi put dup 14 /ffi put dup 19 /acute put dup 22 /macron put dup 34 /quotedblright 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 47 /slash 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 81 /Q 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 89 /Y put dup 90 /Z put dup 91 /bracketleft put dup 92 /quotedblleft put dup 93 /bracketright 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 dup 127 /dieresis put readonly def /FontBBox{-251 -250 1009 969}readonly def /UniqueID 5000793 def currentdict end currentfile eexec D9D66F633B846A97B686A97E45A3D0AA052A014267B7904EB3C0D3BD0B83D891 016CA6CA4B712ADEB258FAAB9A130EE605E61F77FC1B738ABC7C51CD46EF8171 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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 52 /four put dup 53 /five put dup 58 /colon put dup 65 /A put dup 68 /D put dup 69 /E put dup 73 /I put dup 77 /M put dup 80 /P put dup 84 /T put dup 85 /U put dup 86 /V 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{-163 -250 1146 969}readonly def /UniqueID 5000828 def currentdict end currentfile eexec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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 readonly def /FontBBox{-341 -250 1304 965}readonly def /UniqueID 5000788 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 6 /plusminus put dup 72 /H put readonly def /FontBBox{21 -944 1448 791}readonly def /UniqueID 5000815 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 15 /epsilon1 put dup 23 /nu put dup 28 /tau put dup 59 /comma put dup 61 /slash put dup 65 /A put dup 68 /D put dup 70 /F put dup 73 /I put dup 74 /J put dup 86 /V put dup 96 /lscript put dup 102 /f put dup 105 /i put dup 106 /j put dup 107 /k put dup 110 /n put dup 120 /x put readonly def /FontBBox{0 -250 1171 750}readonly def /UniqueID 5087382 def currentdict end currentfile eexec D9D66F633B846A97B686A97E45A3D0AA0529731C99A784CCBE85B4993B2EEBDE 3B12D472B7CF54651EF21185116A69AB1096ED4BAD2F646635E019B6417CC77B 532F85D811C70D1429A19A5307EF63EB5C5E02C89FC6C20F6D9D89E7D91FE470 B72BEFDA23F5DF76BE05AF4CE93137A219ED8A04A9D7D6FDF37E6B7FCDE0D90B 986423E5960A5D9FBB4C956556E8DF90CBFAEC476FA36FD9A5C8175C9AF513FE D919C2DDD26BDC0D99398B9F4D03D77639DF1232A4D6233A9CAF69B151DFD33F C0962EAC6E3EBFB8AD256A3C654EAAF9A50C51BC6FA90B61B60401C235AFAB7B B078D20B4B8A6D7F0300CF694E6956FF9C29C84FCC5C9E8890AA56B1BC60E868 DA8488AC4435E6B5CE34EA88E904D5C978514D7E476BF8971D419363125D4811 4D886EDDDCDDA8A6B0FDA5CF0603EA9FA5D4393BEBB26E1AB11C2D74FFA6FEE3 FAFBC6F05B801C1C3276B11080F5023902B56593F3F6B1F37997038F36B9E3AB 76C2E97E1F492D27A8E99F3E947A47166D0D0D063E4E6A9B535DC9F1BED129C5 123775D5D68787A58C93009FD5DA55B19511B95168C83429BD2D878207C39770 012318EA7AA39900C97B9D3859E3D0B04750B8390BF1F1BC29DC22BCAD50ECC6 A3C633D0937A59E859E5185AF9F56704708D5F1C50F78F43DFAC43C4E7DC9413 44CEFE43279AFD3C167C942889A352F2FF806C2FF8B3EB4908D50778AA58CFFC 4D1B14597A06A994ED8414BBE8B26E74D49F6CF54176B7297CDA112A69518050 01337CBA5478EB984CDD22020DAED9CA8311C33FBCC84177F5CE870E709FC608 D28B3A7208EFF72988C136142CE79B4E9C7B3FE588E9824ABC6F04D141E589B3 914A73A42801305439862414F893D5B6C327A7EE2730DEDE6A1597B09C258F05 261BC634F64C9F8477CD51634BA648FC70F659C90DC042C0D6B68CD1DF36D615 24F362B85A58D65A8E6DFD583EF9A79A428F2390A0B5398EEB78F4B5A89D9AD2 A517E0361749554ABD6547072398FFDD863E40501C316F28FDDF8B550FF8D663 9843D0BEA42289F85BD844891DB42EC7C51229D33EE7E83B1290404C799B8E8C 889787CDC2BB81E382A73534BC6837AFEF3FD99D869CAF82E4DB435F9F100F00 43041CFE284DF3C51CB274965BEA35D6B572DE26A1CBD5C0A840DE2880FE7E06 EC48A3A7C1BFC1C8F45C5F99AC706CDF882C404BBBE4EB4207CA0882FBCD793A CB75EFE8C039C49C0413128E9AAB3539C8533730912872E9550B78C9D6B73AB3 E77EA896E32967C4DAB59FC8FAF3992A6F93320A1E1A1C1DC79A12E80287F118 3D7012B176367736C41BCA2AA6A49089CB2CC5568354E3EED728C57FA64C4439 904187E73EF101A18EEF7B55E66D7A9B2FF32163A36FC4E258E6D649AE13AE5E 2BF05BAF8C12F2F00743F204A7DF907A8405DF7052AFFDF0771527318A4A1821 A304A8E054668F2C7945DFF2432C3290BC18DCBBBFAA9DD21810D2A289D156B1 DB2D2BA4B12E1E36446A7DF14F9224D8C6698A8B1BDDA629B5A42660E87D14F8 E687B1DA0B16E1577A04F100C3E1EE12F2BB7C964A156843D13F03A39813611C C4FF4C7EED6968D8F2B0FC90743AD46A47AA46665849D177D74FCDC522989443 8A820BCB6B243F3B3BF7BD501B8FE77DA7D3731DF4BBAB8F513910D685B740E6 9F96A52E434900A45DF9A688E4C7B87825EE3FA0EDC5B83D8BFF5EAEE3110704 B0CD984919DDF9584FBF0D27CF4A222A02B1F356C5819D8241734D40A9F49013 121AEAD7DD98679B2F36981C4CA8FA482471AC02C049010B0EAD919BBB0B50B0 11C8446690817EE348535519DED0226B3E42ACD069C2FBDEC10BE516A5C413BD 2DF77AED5F506610F58C81AABD5F36C93F29002A0B47114FE56430D8D327F5B6 9677CD8D80D40C0C68BF2D8E902C1D8B75E7ECECAC4C71EF0CED70BFE0D4DC6D 0BD3C3D0C5F8C5D77CC0A9FB54FE90C17F13E98A8AE1858A877EDDC2B4E2F259 B00C952D8D8F6B019C19BBA6F180F1568D8FF34BD13B7D8D48C1F0A3639723A8 079AB745AE3F89476694BA1AF4E020EE6A2D2B457A471A6BF3CF67C1048E6243 23DFDFDDE3F4ADDB581FAA796F845120C949BFCB9AB2375DC8687F1CE867952F CCBCF35539A6BF6AAFEDA025B83061E8297B8AABC76DF68F9D8AC665E96ECA6A 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0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 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 40 /parenleft put dup 41 /parenright put dup 43 /plus put dup 48 /zero put dup 49 /one put dup 50 /two put dup 51 /three put dup 52 /four put dup 56 /eight put dup 61 /equal 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 105 /i put dup 109 /m put dup 111 /o put dup 112 /p put dup 115 /s put dup 117 /u put readonly def /FontBBox{-27 -250 1122 750}readonly def /UniqueID 5000790 def currentdict end currentfile eexec D9D66F633B846A97B686A97E45A3D0AA052A014267B7904EB3C0D3BD0B83D891 016CA6CA4B712ADEB258FAAB9A130EE605E61F77FC1B738ABC7C51CD46EF8171 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0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 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 6 /plusminus put dup 7 /minusplus put dup 8 /circleplus put dup 21 /greaterequal put dup 33 /arrowright put dup 48 /prime put dup 49 /infinity put dup 50 /element put dup 72 /H put dup 73 /I put dup 102 /braceleft put dup 103 /braceright put dup 106 /bar put dup 107 /bardbl put dup 110 /backslash put readonly def /FontBBox{-15 -951 1252 782}readonly def /UniqueID 5000817 def currentdict end currentfile eexec D9D66F633B846A97B686A97E45A3D0AA052F09F9C8ADE9D907C058B87E9B6964 7D53359E51216774A4EAA1E2B58EC3176BD1184A633B951372B4198D4E8C5EF4 A213ACB58AA0A658908035BF2ED8531779838A960DFE2B27EA49C37156989C85 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cleartomark %%EndFont %%BeginFont: CMR9 %!PS-AdobeFont-1.1: CMR9 1.0 %%CreationDate: 1991 Aug 20 16:39:59 % 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 (CMR9) readonly def /FamilyName (Computer Modern) readonly def /Weight (Medium) readonly def /ItalicAngle 0 def /isFixedPitch false def end readonly def /FontName /CMR9 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 35 /numbersign put dup 38 /ampersand put dup 45 /hyphen put dup 46 /period put dup 48 /zero put dup 50 /two put dup 55 /seven put dup 56 /eight put dup 67 /C put dup 69 /E put dup 72 /H put dup 78 /N put dup 80 /P put dup 82 /R put dup 84 /T put dup 97 /a put dup 98 /b put dup 100 /d put dup 101 /e put dup 103 /g 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 114 /r put dup 115 /s put dup 116 /t put dup 117 /u put dup 121 /y put readonly def /FontBBox{-39 -250 1036 750}readonly def /UniqueID 5000792 def currentdict end currentfile eexec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0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 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 readonly def /FontBBox{-4 -948 1329 786}readonly def /UniqueID 5000816 def currentdict end currentfile eexec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cleartomark %%EndFont %%BeginFont: CMBX12 %!PS-AdobeFont-1.1: CMBX12 1.0 %%CreationDate: 1991 Aug 20 16:34:54 % 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 (CMBX12) readonly def /FamilyName (Computer Modern) readonly def /Weight (Bold) readonly def /ItalicAngle 0 def /isFixedPitch false def end readonly def /FontName /CMBX12 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 49 /one put dup 50 /two put dup 51 /three put dup 65 /A put dup 68 /D put dup 73 /I put dup 82 /R 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 105 /i put dup 108 /l put dup 110 /n put dup 111 /o put dup 112 /p put dup 114 /r put dup 115 /s put dup 116 /t put dup 117 /u put readonly def /FontBBox{-53 -251 1139 750}readonly def /UniqueID 5000769 def currentdict end currentfile eexec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All Rights Reserved. 11 dict begin /FontInfo 7 dict dup begin /version (1.0) readonly def /Notice (Copyright (C) 1997 American Mathematical Society. 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0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 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 0 /minus put dup 3 /asteriskmath put readonly def /FontBBox{-30 -955 1185 779}readonly def /UniqueID 5000818 def currentdict end currentfile eexec D9D66F633B846A97B686A97E45A3D0AA052F09F9C8ADE9D907C058B87E9B6964 7D53359E51216774A4EAA1E2B58EC3176BD1184A633B951372B4198D4E8C5EF4 A213ACB58AA0A658908035BF2ED8531779838A960DFE2B27EA49C37156989C85 E21B3ABF72E39A89232CD9F4237FC80C9E64E8425AA3BEF7DED60B122A52922A 221A37D9A807DD01161779DDE7D5FC1B2109839E5B52DFBB2A7C1B5D8E7E8AA0 5B10EA43D6A8ED61AF5B23D49920D8F79DAB6A59062134D84AC0100187A6CD1F 80F5DDD9D222ACB1C23326A7656A635C4A241CCD32CBFDF8363206B8AA36E107 1477F5496111E055C7491002AFF272E46ECC46422F0380D093284870022523FB DA1716CC4F2E2CCAD5F173FCBE6EDDB874AD255CD5E5C0F86214393FCB5F5C20 9C3C2BB5886E36FC3CCC21483C3AC193485A46E9D22BD7201894E4D45ADD9BF1 CC5CF6A5010B5654AC0BE0DA903DB563B13840BA3015F72E51E3BC80156388BA F83C7D393392BCBC227771CDCB976E93302530FA3F4BEF341997D4302A48384A CEFFC1559462EA5F60DC05245E8499D8E61397B2C094CEED1AF26EE15A837209 ECE64FEF41ABE8DDA7BE1F351CF14E07BA8FD40CEFBFC3CE7B9D4912D6FE752D 9CF163084E688DDCC4A450C440D47668A3F7CCE40030B01911C9A925DD42B5EE 504AE98ED274FFCE11DDB10C749FF05ED2BC983ACEEE5C2A394FB61F725DAFA4 E8AD4D01E203F60E03278425AF330330790BEA33AB3F1AC5B174162A6A40A2F8 35278FFCC3BD96D81A859ECFBBF1FE491ABAA6222FB19C01EEE848A460377468 6FCD71A6E58BF79E3DD28583C4808FB900E66910BD1C7EDA05D2F3D9AC7EB1DC 982F9035227478BA2ED2BA805C8DCAFAFCA32819949643FA97B5A315684A334B 976428949DF88C66D25824699079C3F44F7D5C0D8DA329C63ABA3AC0E9F7DC6B 08A5A3363B62471C9347FF96D6D52CD63D21F7C15997965DC1B21C0BF7F8925C 25C5EDB952A4431B75A63024E44969A9EF3C29C20571FE84C5513CC2C4FB684C CF0938E787E7A6494964F30D70FA29A75A7A0ADDFBE2D467B191F9E67A95758F B920D99157F37F32A5807FAACDFB 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 cleartomark %%EndFont %%BeginFont: CMR12 %!PS-AdobeFont-1.1: CMR12 1.0 %%CreationDate: 1991 Aug 20 16:38:05 % 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 (CMR12) readonly def /FamilyName (Computer Modern) readonly def /Weight (Medium) readonly def /ItalicAngle 0 def /isFixedPitch false def end readonly def /FontName /CMR12 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 19 /acute put dup 44 /comma put dup 46 /period put dup 48 /zero put dup 50 /two put dup 53 /five put dup 68 /D put dup 69 /E put dup 74 /J put dup 77 /M put dup 83 /S put dup 97 /a put dup 98 /b put dup 99 /c put dup 101 /e 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 114 /r put dup 115 /s put dup 116 /t put dup 117 /u put readonly def /FontBBox{-34 -251 988 750}readonly def /UniqueID 5000794 def currentdict end currentfile eexec D9D66F633B846A97B686A97E45A3D0AA052A014267B7904EB3C0D3BD0B83D891 016CA6CA4B712ADEB258FAAB9A130EE605E61F77FC1B738ABC7C51CD46EF8171 9098D5FEE67660E69A7AB91B58F29A4D79E57022F783EB0FBBB6D4F4EC35014F D2DECBA99459A4C59DF0C6EBA150284454E707DC2100C15B76B4C19B84363758 469A6C558785B226332152109871A9883487DD7710949204DDCF837E6A8708B8 2BDBF16FBC7512FAA308A093FE5CF4E9D2405B169CD5365D6ECED5D768D66D6C 68618B8C482B341F8CA38E9BB9BAFCFAAD9C2F3FD033B62690986ED43D9C9361 3645B82392D5CAE11A7CB49D7E2E82DCD485CBA04C77322EB2E6A79D73DC194E 59C120A2DABB9BF72E2CF256DD6EB54EECBA588101ABD933B57CE8A3A0D16B28 51D7494F73096DF53BDC66BBF896B587DF9643317D5F610CD9088F9849126F23 DDE030F7B277DD99055C8B119CAE9C99158AC4E150CDFC2C66ED92EBB4CC092A AA078CE16247A1335AD332DAA950D20395A7384C33FF72EAA31A5B89766E635F 45C4C068AD7EE867398F0381B07CB94D29FF097D59FF9961D195A948E3D87C31 821E9295A56D21875B41988F7A16A1587050C3C71B4E4355BB37F255D6B237CE 96F25467F70FA19E0F85785FF49068949CCC79F2F8AE57D5F79BB9C5CF5EED5D 9857B9967D9B96CDCF73D5D65FF75AFABB66734018BAE264597220C89FD17379 26764A9302D078B4EB0E29178C878FD61007EEA2DDB119AE88C57ECFEF4B71E4 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0000000000000000000000000000000000000000000000000000000000000000 cleartomark %%EndFont %%BeginFont: CMSL12 %!PS-AdobeFont-1.1: CMSL12 1.0 %%CreationDate: 1991 Aug 20 16:40:41 % 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. 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0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 cleartomark %%EndFont TeXDict begin 39139632 55387786 1000 600 600 (gaps-roma9.dvi) @start /Fa 143[76 61[61 49[71{}3 90.9091 /CMSY10 rf /Fb 145[43 2[37 47[20 35[35 23[{}4 66.4176 /CMMI8 rf /Fc 204[35 35 35 5[55 43[{}4 66.4176 /CMR8 rf /Fd 145[55 2[47 9[48 27[67 6[71 1[71 25 35[45 1[53 21[{}9 90.9091 /CMMI10 rf /Fe 133[40 48 48 66 48 51 35 36 36 1[51 45 51 76 25 48 1[25 51 45 28 40 51 40 51 45 12[66 13[59 1[69 66 20[25 1[25 2[35 35 40[{}32 90.9091 /CMSL10 rf /Ff 134[55 55 2[58 41 1[43 1[58 52 1[87 29 2[29 3[48 3[51 16[71 10[69 3[79 6[29 58[{}16 90.9091 /CMBX10 rf /Fg 142[83 83 6[39 39 15[120 54[66 66 12[61 61 50 50 16[{}11 83.022 /CMEX10 rf /Fh 173[60 14[60 67[{}2 83.022 /MSBM10 rf /Fi 148[31 24 22 76[28 2[35 25[{}5 41.511 /CMMI5 rf /Fj 138[51 2[36 8[25 1[45 1[40 30[59 8[71 2[25 45 45 45 45 45 45 45 45 45 45 6[35 35 40[{}20 90.9091 /CMR10 rf /Fk 134[40 39 55 38 45 28 34 35 38 42 42 47 68 21 38 25 25 42 38 25 38 42 38 38 42 10[62 62 59 3[56 2[74 3[32 3[56 63 2[62 6[25 4[42 42 42 42 42 2[25 30 25 2[34 34 25[73 1[47 51 11[{}48 83.022 /CMTI10 rf /Fl 205[28 28 28 4[43 43[{}4 41.511 /CMR5 rf /Fm 183[50 65[45 5[45{}3 41.511 /CMSY5 rf /Fn 135[38 9[41 2[35 27 23 2[32 5[28 9[39 11[37 29 2[42 1[54 2[50 3[34 1[20 30[31 4[33 7[28 15[{}18 58.1154 /CMMI7 rf /Fo 138[37 1[26 2[37 33 1[55 3[19 2[21 30 37 30 37 33 35[51 4[33 3[33 33 33 33 33 4[51 1[26 26 40[{}22 58.1154 /CMR7 rf /Fp 145[34 2[34 20 2[34 34 28[38 57 21[45 66 19 14[66 11[52 12[52 52 52 5[52{}16 58.1154 /CMSY7 rf /Fq 135[47 9[50 2[43 34 29 3[39 1[36 36 44 10[48 4[66 53 2[81 57 1[46 36 69 1[53 61 69 2[62 44 1[65 42 65 23 23 26[52 49 1[36 47 3[41 1[48 5[34 37 1[47 53 11[{}37 83.022 /CMMI10 rf /Fr 134[41 3[43 30 30 30 1[43 38 43 64 21 2[21 1[38 1[34 43 1[43 38 12[55 1[57 1[52 1[58 5[58 2[52 1[55 10[38 38 4[38 1[38 1[21 26 6[60 2[64 35[{}31 74.7198 /CMR9 rf /Fs 252[32 3[{}1 49.8132 /CMSY6 rf /Ft 138[75 52 53 55 1[75 67 75 1[37 2[37 2[41 61 75 60 75 65 14[100 8[50 4[103 2[102 13[67 67 67 49[{}22 119.552 /CMBX12 rf /Fu 134[50 4[37 38 39 2[48 1[80 27 3[53 2[44 1[42 53 46 12[66 16[69 1[72 7[48 48 48 48 48 48 48 48 48 48 6[37 37 40[{}27 83.022 /CMBX10 rf /Fv 138[55 55 3[69 1[42 2[42 23 2[42 42 9[55 55 17[45 70 1[60 1[64 12[0 3[55 55 83 15[83 6[65 1[65 2[65 65 11[65 1[65 3[65 23 65{}28 83.022 /CMSY10 rf /Fw 136[57 1[43 30 32 28 1[43 42 43 66 20 2[20 43 1[25 37 43 37 43 40 32[55 5[23 10[42 23 1[23 44[{}23 83.022 /CMSS10 rf /Fx 128[42 42 3[37 44 44 60 44 46 32 33 33 44 46 42 46 69 23 44 25 23 46 42 25 37 46 37 46 42 3[23 42 23 51 62 1[85 62 62 60 46 61 65 57 65 62 76 52 65 43 30 62 65 54 57 63 60 59 62 3[65 2[23 42 42 42 42 42 42 42 42 42 42 42 23 28 23 65 1[32 32 23 4[42 11[42 2[42 4[69 1[46 48 7[58 1[69 1[{}84 83.022 /CMR10 rf /Fy 134[44 44 60 44 46 32 33 33 1[46 42 46 69 23 44 1[23 46 42 25 37 46 37 46 42 11[62 60 46 61 1[57 1[62 76 52 5[54 1[63 60 1[62 9[42 42 42 42 42 1[42 2[23 28 23 2[32 32 20[42 19[{}47 83.022 /CMSL10 rf /Fz 252[35 2[55{}2 66.4176 /CMSY8 rf /FA 138[54 38 38 38 1[54 49 54 81 27 2[27 3[43 1[43 54 49 13[54 5[89 2[50 4[66 75 14[49 2[49 1[49 1[27 1[27 24[49 19[{}25 99.6264 /CMR12 rf /FB 136[101 74 78 55 55 55 1[78 70 78 117 39 2[39 78 70 43 62 78 62 78 70 25[110 2[107 2[105 18[39 1[39 44[{}25 143.462 /CMSL12 rf end %%EndProlog %%BeginSetup %%Feature: *Resolution 600dpi TeXDict begin %%BeginPaperSize: a4 a4 %%EndPaperSize end %%EndSetup %%Page: 1 1 TeXDict begin 1 0 bop Black Black Black Black 301 939 a FB(General)48 b(results)f(on)g(the)g(eigen)l(v)-8 b(alues)50 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Fp(\000)1133 2687 y Fn(k)1190 2662 y Fx(\))1222 2674 y Fn(k)q Fp(\025)p Fo(1)1375 2662 y Fx(de\014ned)g(b)n(y)1310 2896 y Fq(\025)1358 2860 y Fo(+)1358 2921 y Fn(k)1437 2896 y Fx(:=)279 b(inf)1585 2950 y Fn(V)42 b Fo(subspace)27 b(of)32 b Fn(F)2077 2958 y Fl(+)1715 3014 y Fo(dim)26 b Fn(V)15 b Fo(=)p Fn(k)2345 2896 y Fx(sup)2175 2969 y Fn(x)p Fp(2)p Fo(\()p Fn(V)f Fp(\010)p Fn(F)2431 2977 y Fm(\000)2480 2969 y Fo(\))p Fp(nf)p Fo(0)p Fp(g)2692 2839 y Fx(\()p Fq(x;)g(Ax)p Fx(\))p 2692 2876 259 4 v 2728 2952 a Fv(k)p Fq(x)p Fv(k)2859 2928 y Fo(2)2859 2981 y Fm(H)2984 2896 y Fq(;)313 b Fx(\(1\))1310 3231 y Fq(\025)1358 3195 y Fp(\000)1358 3256 y Fn(k)1437 3231 y Fx(:=)268 b(sup)1585 3301 y Fn(V)43 b Fo(subspace)26 b(of)32 b Fn(F)2077 3309 y Fm(\000)1716 3365 y Fo(dim)27 b Fn(V)15 b Fo(=)p Fn(k)2359 3231 y Fx(inf)2178 3288 y Fn(x)p Fp(2)p Fo(\()p Fn(V)f Fp(\010)p Fn(F)2434 3296 y Fl(+)2480 3288 y Fo(\))p Fp(nf)p Fo(0)p Fp(g)2693 3175 y Fx(\()p Fq(x;)g(Ax)p Fx(\))p 2693 3212 V 2728 3288 a Fv(k)p Fq(x)p Fv(k)2859 3264 y Fo(2)2859 3316 y Fm(H)2985 3231 y Fq(:)312 b Fx(\(2\))891 3503 y(The)40 b(sequences)e(\()p Fq(\025)1542 3467 y Fo(+)1542 3528 y Fn(k)1598 3503 y Fx(\))1630 3515 y Fn(k)q Fp(\025)p Fo(1)1796 3503 y Fx(and)h(\()p Fq(\025)2049 3467 y Fp(\000)2049 3528 y Fn(k)2105 3503 y Fx(\))2137 3515 y Fn(k)q Fp(\025)p Fo(1)2303 3503 y Fx(are)f(resp)r(ectiv)n(ely)h(nondecreasing)891 3602 y(and)28 b(nonincreasing.)35 b(As)28 b(a)f(consequence)g(of)g(their)h (de\014nitions)f(w)n(e)h(ha)n(v)n(e)e(:)984 3784 y(for)h(all)50 b Fq(k)26 b Fv(\025)d Fx(1)p Fq(;)96 b(\025)1615 3749 y Fo(+)1615 3809 y Fn(k)1694 3784 y Fv(\025)23 b Fx(max)13 b Fv(f)p Fq(a)2036 3750 y Fp(\000)2091 3784 y Fq(;)h(a)2172 3750 y Fo(+)2227 3784 y Fv(g)51 b Fx(and)f Fq(\025)2552 3749 y Fp(\000)2552 3809 y Fn(k)2632 3784 y Fv(\024)22 b Fx(min)14 b Fv(f)p Fq(a)2957 3750 y Fp(\000)3013 3784 y Fq(;)g(a)3094 3750 y Fo(+)3149 3784 y Fv(g)g Fq(:)92 b Fx(\(3\))891 3966 y(Let)43 b Fq(b)1091 3936 y Fp(\000)1180 3966 y Fx(:=)48 b(inf)21 b Fv(f)o Fq(\033)1519 3978 y Fo(ess)1606 3966 y Fx(\()p Fq(A)p Fx(\))e Fv(\\)g Fx(\()p Fq(a)1901 3936 y Fp(\000)1957 3966 y Fq(;)14 b Fv(1)p Fx(\))p Fv(g)p Fx(,)46 b Fq(b)2256 3936 y Fo(+)2345 3966 y Fx(:=)h(sup)14 b Fv(f)o Fq(\033)2707 3978 y Fo(ess)2794 3966 y Fx(\()p Fq(A)p Fx(\))19 b Fv(\\)g Fx(\()p Fv(\0001)p Fq(;)14 b(a)3274 3936 y Fo(+)3329 3966 y Fx(\))p Fv(g)p Fx(,)891 4065 y(and)28 b(consider)e(the)i(t)n(w)n(o)f(cases)1434 4247 y(\(iii)1536 4212 y Fp(\000)1592 4247 y Fx(\))166 b Fq(k)1836 4212 y Fo(+)1833 4269 y(0)1914 4247 y Fx(:=)23 b(min)14 b Fv(f)p Fq(k)25 b Fv(\025)e Fx(1)14 b Fq(;)36 b(\025)2538 4212 y Fo(+)2538 4272 y Fn(k)2617 4247 y Fq(>)23 b(a)2749 4213 y Fp(\000)2805 4247 y Fv(g)14 b Fq(;)1434 4429 y Fx(\(iii)1536 4394 y Fo(+)1591 4429 y Fx(\))166 b Fq(k)1835 4393 y Fp(\000)1832 4451 y Fo(0)1914 4429 y Fx(:=)23 b(min)14 b Fv(f)p Fq(k)25 b Fv(\025)e Fx(1)14 b Fq(;)36 b(\025)2538 4393 y Fp(\000)2538 4454 y Fn(k)2618 4429 y Fq(<)23 b(a)2750 4395 y Fo(+)2805 4429 y Fv(g)14 b Fq(:)p Black 891 4578 a Fu(Theorem)32 b(1)p Black 45 w Fk(If)f Fx(\(i\)-\(ii)1671 4548 y Fp(\000)1728 4578 y Fx(\)-\(iii)1889 4548 y Fp(\000)1946 4578 y Fx(\))g Fk(hold,)i(for)f(any)f Fq(k)e Fv(\025)24 b Fq(k)2715 4542 y Fo(+)2712 4600 y(0)2770 4578 y Fk(,)32 b(either)46 b Fq(\025)3127 4542 y Fo(+)3127 4603 y Fn(k)3227 4578 y Fk(is)31 b(the)891 4677 y Fx(\()p Fq(k)13 b Fv(\000)e Fq(k)1098 4689 y Fo(0)1146 4677 y Fx(+)g(1\))p Fk(-th)25 b(eigenvalue)j(of)f Fq(A)f Fk(in)g(the)g(interval)41 b Fx(\()p Fq(a)2624 4647 y Fp(\000)2680 4677 y Fq(;)14 b(b)2753 4647 y Fp(\000)2809 4677 y Fx(\))40 b Fk(or)27 b(it)f(is)g(e)l(qual)h(to)891 4777 y Fq(b)927 4747 y Fp(\000)983 4777 y Fk(.)36 b(If)23 b Fx(\(i\)-\(ii)1317 4747 y Fo(+)1373 4777 y Fx(\)-\(iii)1534 4747 y Fo(+)1590 4777 y Fx(\))f Fk(hold,)k(for)e(any)f Fq(k)i Fv(\025)e Fq(k)2322 4742 y Fp(\000)2319 4799 y Fo(0)2378 4777 y Fk(,)h(either)37 b Fq(\025)2718 4742 y Fp(\000)2718 4802 y Fn(k)2811 4777 y Fk(is)23 b(the)g Fx(\()p Fq(k)5 b Fv(\000)s Fq(k)3215 4789 y Fo(0)3255 4777 y Fx(+)s(1\))p Fk(-)891 4877 y(th)33 b(eigenvalue)g(of)g Fq(A)f Fk(\(in)h(r)l(everse)f (or)l(der\))h(in)f(the)h(interval)46 b Fx(\()p Fq(b)2902 4847 y Fo(+)2957 4877 y Fq(;)14 b(a)3038 4847 y Fo(+)3093 4877 y Fx(\))47 b Fk(or)32 b(it)g(is)891 4976 y(e)l(qual)e(to)44 b Fq(b)1251 4946 y Fo(+)1306 4976 y Fk(.)p Black 2136 5225 a Fj(2)p Black eop end %%Page: 3 3 TeXDict begin 3 2 bop Black Black 468 573 a Fx(Eigen)n(v)-5 b(alues)17 b(are)h(coun)n(ted)g(with)i(m)n(ultiplicit)n(y)f(and)g(the)g (order)e(has)h(no)h(meaning)468 672 y(if,)30 b(for)e(instance,)h Fq(\025)1093 637 y Fo(+)1093 698 y Fn(k)1174 672 y Fx(=)c Fq(\025)1312 637 y Fo(+)1312 698 y Fn(k)q Fo(+1)1437 672 y Fx(.)41 b(The)29 b(ab)r(o)n(v)n(e)e(result)i(do)r(es)f(not)h (state)g(an)n(ything)468 772 y(ab)r(out)21 b(the)h(p)r(ossible)f(eigen) n(v)-5 b(alues)20 b(of)h Fq(A)h Fx(in)g(the)f(in)n(terv)-5 b(al)35 b([)p Fq(a)2339 742 y Fo(+)2394 772 y Fq(;)14 b(a)2475 742 y Fp(\000)2531 772 y Fx(],)23 b(if)f Fq(a)2714 742 y Fp(\000)2793 772 y Fv(\025)g Fq(a)2924 742 y Fo(+)2979 772 y Fx(.)468 872 y(W)-7 b(e)26 b(will)h(extensiv)n(ely)e(commen)n(t)h (on)f(this)h(in)h(Section)f(2)f(and)h(explain)g(ho)n(w)f(the)468 971 y(abstract)j(result)h(of)g([4)o(])g(implies)g(Theorem)g(1)f(and)h (a)f(con)n(tin)n(uation)g(result.)41 b(In)468 1071 y(Section)27 b(3)g(w)n(e)g(will)g(address)f(the)i(particular)d(case)i(in)g(whic)n(h) g(the)h(op)r(erator)39 b Fq(A)468 1171 y Fx(is)27 b(of)g(the)h(form)40 b Fq(H)1066 1183 y Fo(0)1121 1171 y Fx(+)17 b Fq(V)i Fx(,)27 b(where)40 b Fq(H)1642 1183 y Fo(0)1721 1171 y Fx(is)27 b(the)g(free)g(Dirac)f(op)r(erator)g(and)41 b Fq(V)59 b Fx(is)468 1270 y(an)27 b(electrostatic)g(scalar)f(p)r(oten) n(tial.)468 1542 y Ft(2)180 b(Abstract)44 b(results)468 1724 y Fx(Theorem)27 b(1.1)g(in)g([4])h(can)f(b)r(e)h(stated)f(as)g (follo)n(ws:)593 1846 y Fy(Under)k(the)g(assumptions)f(of)h(Theorem)g (1,)g(if)h Fq(\025)2146 1810 y Fo(+)2146 1868 y(1)2230 1846 y Fq(>)d(a)2368 1815 y Fp(\000)2424 1846 y Fy(,)j(then)f(all)g (eigen-)468 1945 y(v)-5 b(alues)28 b(in)h Fx(\()p Fq(a)890 1915 y Fp(\000)946 1945 y Fq(;)14 b(b)1019 1915 y Fp(\000)1075 1945 y Fx(\))29 b Fy(are)e(giv)n(en)h(b)n(y)g(the)h(min-max)f(lev)n (els)g Fq(\025)2373 1910 y Fo(+)2373 1970 y Fn(k)2457 1945 y Fy(as)g(long)f(as)h(they)468 2045 y(tak)n(e)f(their)g(v)-5 b(alues)28 b(in)g Fx(\()p Fq(a)1267 2015 y Fp(\000)1323 2045 y Fq(;)14 b(b)1396 2015 y Fp(\000)1451 2045 y Fx(\))28 b Fy(\(and)g(otherwise,)f Fq(\025)2146 2009 y Fo(+)2146 2070 y Fn(k)2224 2045 y Fx(=)c Fq(b)2348 2015 y Fp(\000)2404 2045 y Fy(\).)593 2188 y Fx(This)34 b(result)h(dealt)g(with)g(the)h (family)e(of)h(eigen)n(v)-5 b(alues)48 b Fv(f)p Fq(\025)2493 2153 y Fo(+)2493 2213 y Fn(k)2548 2188 y Fv(g)2590 2200 y Fn(k)2679 2188 y Fx(and)35 b(only)468 2288 y(in)d(the)g(case)e Fq(k)941 2252 y Fo(+)938 2310 y(0)1026 2288 y Fx(=)f(1.)49 b(Nothing)31 b(w)n(as)g(said)g(on)g(eigen)n(v)-5 b(alues)30 b(b)r(elo)n(w)h Fq(a)2732 2258 y Fo(+)2787 2288 y Fx(.)49 b(The)468 2387 y(result)23 b(in)g([4)o(])h(w)n(as)d(already)h(co)n(v)n (ering)f(all)h(cases)g(corresp)r(onding)f(to)i(a)g(Dirac)f(op-)468 2487 y(erator)j(with)i(a)f(p)r(oten)n(tial)h(giv)n(en)f(b)n(y)g(a)g(p)r (ositiv)n(e)h(Coulom)n(b)e(singularit)n(y)-7 b(.)36 b(Here,)468 2587 y(b)n(y)e(considering)e(the)i(case)47 b Fq(k)1421 2551 y Fo(+)1418 2609 y(0)1509 2587 y Fv(\025)33 b Fx(1)h(and)f(b)n(y)h (considering)e(the)j(lev)n(els)e Fq(\025)2838 2551 y Fp(\000)2838 2612 y Fn(k)2928 2587 y Fx(as)468 2686 y(w)n(ell,)f(w)n(e) f(extend)g(the)h(metho)r(d)g(to)f(a)g(framew)n(ork)e(with)j(in)n (teresting)e(ph)n(ysical)468 2786 y(applications.)593 2929 y(The)22 b(pro)r(of)g(for)35 b Fq(k)1151 2894 y Fo(+)1148 2951 y(0)1230 2929 y Fq(>)22 b Fx(1)36 b(is)22 b(similar)g(to)g(the)h(pro)r(of)f(giv)n(en)f(in)i([4)o(])g(and)f(w)n(e) g(will)468 3029 y(not)30 b(repro)r(duce)f(it)h(here.)43 b Fy(A)30 b(p)r(osteriori,)f Fx(passing)g(from)43 b Fq(k)2352 2993 y Fo(+)2349 3051 y(0)2434 3029 y Fx(=)26 b(1)43 b(to)h Fq(k)2774 2993 y Fo(+)2771 3051 y(0)2856 3029 y Fq(>)26 b Fx(1)468 3129 y(is)32 b(not)f(v)n(ery)g(di\016cult.)50 b(Consider)31 b(indeed)h(a)f(\()p Fq(k)2012 3093 y Fo(+)2009 3151 y(0)2075 3129 y Fv(\000)7 b Fx(1\)-dimensional)30 b(space)h(of)468 3228 y Fq(F)533 3198 y Fo(+)588 3228 y Fx(,)d Fq(V)687 3254 y Fn(k)723 3227 y Fl(+)722 3272 y(0)759 3254 y Fp(\000)-11 b Fo(1)837 3228 y Fx(,)28 b(suc)n(h)f(that)875 3467 y Fq(a)919 3433 y Fp(\000)998 3467 y Fx(=)c Fq(\025)1134 3493 y Fn(k)1170 3466 y Fl(+)1169 3511 y(0)1206 3493 y Fp(\000)-11 b Fo(1)1330 3467 y Fv(\024)254 b Fx(sup)1418 3540 y Fn(x)p Fp(2)p Fo(\()p Fn(V)1566 3569 y Fi(k)1598 3548 y Fl(+)1597 3590 y(0)1634 3569 y Fm(\000)-10 b Fl(1)1701 3540 y Fp(\010)p Fn(F)1795 3548 y Fm(\000)1844 3540 y Fo(\))p Fp(nf)p Fo(0)p Fp(g)2057 3411 y Fx(\()p Fq(x;)14 b(Ax)p Fx(\))p 2057 3448 259 4 v 2092 3524 a Fv(k)p Fq(x)p Fv(k)2223 3500 y Fo(2)2223 3552 y Fm(H)2349 3467 y Fq(<)22 b(\025)2484 3493 y Fn(k)2520 3466 y Fl(+)2519 3511 y(0)2586 3467 y Fq(;)468 3751 y Fx(and)41 b(de\014ne)g(a)g(new)g(decomp)r(osition)54 b Fv(H)47 b Fx(=)1988 3730 y(~)1964 3751 y Fv(H)2035 3721 y Fo(+)2090 3751 y Fv(\010)2179 3730 y Fx(~)2155 3751 y Fv(H)2226 3721 y Fp(\000)2337 3751 y Fx(b)n(y)40 b(setting)2789 3730 y(~)2765 3751 y Fv(H)2836 3721 y Fp(\000)2938 3751 y Fx(=)468 3850 y Fv(H)539 3820 y Fp(\000)612 3850 y Fv(\010)16 b Fq(V)741 3876 y Fn(k)777 3850 y Fl(+)776 3894 y(0)813 3876 y Fp(\000)-11 b Fo(1)891 3850 y Fx(.)37 b(Then)26 b(the)i(\014rst)e(case)g(of)g(Theorem)g(1)g(is)h(reduced)f (to)h(the)g(result)468 3965 y(of)h(Theorem)e(1.1)h(in)h([4].)593 4065 y(As)21 b(for)g(the)h(second)f(case,)h(note)g(that)g(the)g (statemen)n(t)f(concerning)g(the)h(fam-)468 4164 y(ily)36 b Fv(f)p Fq(\025)684 4129 y Fp(\000)684 4189 y Fn(k)740 4164 y Fv(g)782 4176 y Fn(k)858 4164 y Fx(follo)n(ws)21 b(from)h(that)g(concerning)35 b Fv(f)p Fq(\025)2004 4129 y Fo(+)2004 4189 y Fn(k)2059 4164 y Fv(g)2101 4176 y Fn(k)2177 4164 y Fx(applied)22 b(to)g(the)g(op)r(erator)468 4264 y Fv(\000)p Fq(A)p Fx(.)57 b(This)34 b(completes)g(the)h(sk)n(etc) n(h)f(of)g(the)h(general)d(ideas)i(for)g(the)h(pro)r(of)e(of)468 4364 y(Theorem)27 b(1.)2063 b Fv(t)-55 b(u)593 4578 y Fx(Next,)34 b(as)e(in)h([4],)h(w)n(e)e(can)h(also)e(consider)46 b(1-parameter)30 b(families)j(of)g(self-)468 4677 y(adjoin)n(t)23 b(op)r(erators)e(of)i(the)g(form)37 b Fq(A)1604 4689 y Fn(\034)1669 4677 y Fx(:=)22 b Fq(A)1841 4689 y Fo(0)1888 4677 y Fx(+)9 b Fq(\034)23 b(V)33 b Fx(,)24 b Fq(\034)33 b Fv(2)23 b Fx([0)p Fq(;)18 b Fx(\026)-46 b Fq(\034)10 b Fx(])23 b(=)f Fv(I)e Fq(;)37 b(V)56 b Fx(b)r(eing)468 4777 y(a)36 b(b)r(ounded)i(scalar)d(p)r(oten)n(tial.)64 b(In)37 b(this)g(case,)i(it)e(w)n(ould)f(b)r(e)h(in)n(teresting)f(to) 468 4877 y(pro)n(v)n(e)29 b(\(iii)796 4847 y Fp(\006)852 4877 y Fx(\))i(for)e(all)44 b Fq(A)1238 4889 y Fn(\034)1324 4877 y Fx(kno)n(wing)29 b(that)44 b Fq(A)1912 4889 y Fo(0)1994 4877 y Fx(satis\014es)29 b(it)i(and)f(ha)n(ving)f(some)468 4976 y(sp)r(ectral)e(information)g(on)41 b Fq(A)1421 4988 y Fn(\034)1463 4976 y Fx(.)p Black 1712 5225 a Fj(3)p Black eop end %%Page: 4 4 TeXDict begin 4 3 bop Black Black 1016 573 a Fx(More)22 b(precisely)-7 b(,)23 b(let)g Fq(A)1755 585 y Fo(0)1815 573 y Fx(:)g Fq(D)r Fx(\()p Fq(A)2026 585 y Fo(0)2064 573 y Fx(\))h Fv(\032)e(H)i(!)f(H)h Fx(b)r(e)f(a)f(self-adjoin)n(t)g (op)r(erator.)891 672 y(Let)27 b Fv(H)1109 684 y Fo(+)1165 672 y Fx(,)g Fv(H)1285 684 y Fp(\000)1341 672 y Fx(,)g(\003)1449 642 y Fo(+)1530 672 y Fx(and)g(\003)1749 642 y Fp(\000)1832 672 y Fx(b)r(e)g(de\014ned)g(lik)n(e)f(in)h(Section)g(1.)36 b(Assume)27 b(further)891 772 y(that)i(there)e(is)h(a)g(space)f Fq(F)50 b Fv(\032)23 b(H)43 b Fx(suc)n(h)27 b(that,)i(for)e(all)42 b Fq(\034)33 b Fv(2)24 b(I)c Fq(;)42 b(F)54 b Fx(is)28 b(a)f(core)g(for)891 872 y Fq(A)953 884 y Fn(\034)1023 872 y Fx(and)g(the)h(follo)n(wing)f(h)n(yp)r(otheses)g(hold:)p Black 956 1021 a(\(j\))p 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Fp(\000)1470 2598 y Fo(1)1549 2575 y Fx(:=)23 b(inf)1761 2587 y Fn(\034)7 b Fp(2I)1902 2483 y Fg(h)1941 2575 y Fx(inf)2056 2483 y Fg(\020)2106 2575 y Fq(\033)s Fx(\()p Fq(A)2250 2587 y Fn(\034)2292 2575 y Fx(\))19 b Fv(\\)g Fx(\()p Fq(a)2493 2545 y Fp(\000)2549 2575 y Fq(;)14 b Fx(+)p Fv(1)p Fx(\))2766 2483 y Fg(\021)o(i)2868 2575 y Fq(;)1403 2758 y(a)1447 2723 y Fo(+)1447 2780 y(1)1525 2758 y Fx(:=)23 b(sup)1761 2778 y Fn(\034)7 b Fp(2I)1902 2666 y Fg(h)1941 2758 y Fx(sup)2080 2666 y Fg(\020)2130 2758 y Fq(\033)s Fx(\()p Fq(A)2274 2770 y Fn(\034)2316 2758 y Fx(\))19 b Fv(\\)g Fx(\()p Fv(\0001)p Fq(;)14 b(a)2702 2728 y Fo(+)2756 2758 y Fx(\))2788 2666 y Fg(\021i)2891 2758 y Fq(;)1558 3007 y(b)1594 2977 y Fp(\000)1673 3007 y Fx(:=)22 b(inf)1898 2915 y Fg(\020)1948 3007 y Fq(\033)1995 3019 y Fo(ess)2081 3007 y Fx(\()p Fq(A)2175 3019 y Fo(0)2213 3007 y Fx(\))d Fv(\\)g Fx(\()p Fq(a)2414 2977 y Fp(\000)2470 3007 y Fq(;)14 b Fx(+)p Fv(1)p Fx(\))2687 2915 y Fg(\021)2736 3007 y Fq(;)1547 3190 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Fn(\034)s(;)p Fo(+)1429 3867 y Fn(k)1585 3842 y Fk(ar)l(e)34 b(either)g(eigenvalues)h(of)48 b Fq(A)2586 3854 y Fo(0)2644 3842 y Fx(+)21 b Fq(\034)j(V)66 b Fk(in)33 b(the)h(interval)891 3951 y Fx(\()p Fq(a)967 3921 y Fp(\000)1024 3951 y Fq(;)14 b(b)1097 3921 y Fp(\000)1152 3951 y Fx(\))44 b Fk(or)g Fq(\025)1397 3911 y Fn(\034)s(;)p Fo(+)1397 3976 y Fn(k)1529 3951 y Fx(=)23 b Fq(b)1653 3921 y Fp(\000)1722 3951 y Fk(.)1016 4066 y(If)36 b(for)h(some)50 b Fq(k)1526 4030 y Fp(\000)1523 4088 y Fo(0)1615 4066 y Fv(\025)34 b Fx(1)p Fk(,)51 b Fq(\025)1880 4026 y Fo(0)p Fn(;)p Fp(\000)1880 4105 y Fn(k)1916 4078 y Fm(\000)1915 4123 y Fl(0)2023 4066 y Fq(<)33 b(a)2165 4035 y Fo(+)2269 4066 y Fk(and)50 b Fq(a)2494 4030 y Fo(+)2494 4088 y(1)2583 4066 y Fq(<)34 b(a)2726 4035 y Fo(+)2781 4066 y Fk(,)j(for)g(al)t(l)50 b Fq(k)37 b Fv(\025)c Fq(k)3344 4030 y Fp(\000)3341 4088 y Fo(0)3400 4066 y Fk(,)891 4207 y(the)h(numb)l(ers)46 b Fq(\025)1428 4167 y Fn(\034)s(;)p Fp(\000)1428 4232 y Fn(k)1586 4207 y Fk(ar)l(e)33 b(either)h(eigenvalues)h(of)48 b Fq(A)2586 4219 y Fo(0)2645 4207 y Fx(+)20 b Fq(\034)k(V)66 b Fk(in)33 b(the)h(interval)891 4316 y Fx(\()p Fq(b)959 4286 y Fo(+)1014 4316 y Fq(;)14 b(a)1095 4286 y Fo(+)1150 4316 y Fx(\))44 b Fk(or)g Fq(\025)1395 4276 y Fn(\034)s(;)p Fp(\000)1395 4341 y Fn(k)1528 4316 y Fx(=)23 b Fq(b)1652 4286 y Fo(+)1720 4316 y Fk(.)1016 4478 y Fx(Exactly)40 b(as)h(in)g([4],)j(one)d(can)g(pro)n(v)n(e)e(this)j(resutl)f(for)f(a)h (class)f(of)i(more)891 4578 y(general)37 b(\(un)n(b)r(ounded\))h(p)r (oten)n(tials)f Fq(V)56 b Fx(using)38 b(a)f(truncation)g(argumen)n(t)f (and)891 4677 y(then)h(passing)d(to)i(the)g(limit)g(in)g(the)g (truncation)f(parameter.)60 b(This)35 b(applies)891 4777 y(to)29 b(the)g(p)r(erturbation)f(of)g(free)g(the)h(Dirac)f(op)r (erator)f(studied)i(in)g(Section)f(3)g(b)n(y)891 4877 y(p)r(oten)n(tials)33 b(with)g(Coulom)n(b)f(singularites.)51 b(W)-7 b(e)34 b(refer)e(the)h(in)n(terested)f(reader)891 4976 y(to)c([4)o(])g(for)f(more)g(details.)p Black 2136 5225 a Fj(4)p Black eop end %%Page: 5 5 TeXDict begin 5 4 bop Black Black 468 573 a Fk(Pr)l(o)l(of)32 b(of)g(The)l(or)l(em)g(2)p Fx(.)42 b(Assumptions)29 b(\(i\),)h(\(ii) 1956 543 y Fp(\006)2012 573 y Fx(\))g(of)f(Theorem)f(1)g(follo)n(w)h (from)468 672 y(\(j\),)h(\(jj)692 642 y Fp(\006)749 672 y Fx(\).)41 b(Because)28 b(of)h(the)g(b)r(oundedness)f(of)h Fq(V)19 b Fx(,)29 b(the)g(maps)43 b Fv(I)31 b(3)25 b Fq(\034)35 b Fv(7!)25 b Fq(\025)2867 633 y Fn(\034)s(;)p Fp(\006)2867 712 y Fn(k)2903 685 y Fm(\006)2902 730 y Fl(0)468 796 y Fx(are)i(con)n(tin)n(uous.)35 b(The)28 b(sets)691 979 y Fq(P)756 944 y Fo(+)744 1004 y Fn(k)779 1012 y Fl(0)839 979 y Fx(:=)23 b Fv(f)p Fq(\034)32 b Fv(2)24 b(I)29 b Fx(:)23 b Fq(\025)1307 939 y Fn(\034)s(;)p Fo(+)1307 1004 y Fn(k)1342 1012 y Fl(0)1439 979 y Fv(\025)g Fq(a)1571 944 y Fp(\000)1571 1001 y Fo(1)1627 979 y Fv(g)14 b Fq(;)96 b(P)1867 944 y Fp(\000)1855 1004 y Fn(k)1890 1012 y Fl(0)1950 979 y Fx(:=)23 b Fv(f)p Fq(\034)32 b Fv(2)24 b(I)29 b Fx(:)23 b Fq(\025)2418 939 y Fn(\034)s(;)p Fp(\000)2418 1004 y Fn(k)2453 1012 y Fl(0)2551 979 y Fv(\024)g Fq(a)2683 944 y Fo(+)2683 1001 y(1)2738 979 y Fv(g)468 1163 y Fx(are)k(th)n(us)g(closed)g(in)h Fv(I)6 b Fx(,)28 b(and)g(the)g(sets)690 1346 y Fq(Q)756 1311 y Fo(+)756 1371 y Fn(k)791 1379 y Fl(0)851 1346 y Fx(:=)22 b Fv(f)p Fq(\034)33 b Fv(2)23 b(I)30 b Fx(:)23 b Fq(\025)1319 1306 y Fn(\034)s(;)p Fo(+)1319 1371 y Fn(k)1354 1379 y Fl(0)1451 1346 y Fq(>)f(a)1582 1312 y Fp(\000)1638 1346 y Fv(g)14 b Fq(;)97 b(Q)1880 1311 y Fp(\000)1880 1371 y Fn(k)1915 1379 y Fl(0)1974 1346 y Fx(=)23 b Fv(f)p Fq(\034)32 b Fv(2)23 b(I)30 b Fx(:)23 b Fq(\025)2419 1306 y Fn(\034)s(;)p Fp(\000)2419 1371 y Fn(k)2454 1379 y Fl(0)2552 1346 y Fq(<)g(a)2684 1312 y Fo(+)2739 1346 y Fv(g)468 1543 y Fx(are)36 b(op)r(en.)65 b(Ob)n(viously)-7 b(,)38 b Fq(P)1360 1508 y Fp(\006)1348 1568 y Fn(k)1383 1576 y Fl(0)1458 1543 y Fv(\032)h Fq(Q)1628 1508 y Fp(\006)1628 1568 y 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3001 y Fq(A)1114 3013 y Fn(\027)1179 3001 y Fx(=)1267 2859 y Fg( )1332 2937 y Fx(1)18 b Fv(\000)g Fx(\001)h Fv(\000)1676 2904 y Fn(\027)p 1656 2918 78 4 v 1656 2966 a Fp(j)p Fn(x)p Fp(j)2043 2937 y Fx(0)1517 3050 y(0)267 b Fv(\000)p Fx(1)18 b(+)g(\001)g(+)2234 3017 y Fn(\027)p 2214 3031 V 2214 3078 a Fp(j)p Fn(x)p Fp(j)2301 2859 y Fg(!)2395 3001 y Fq(;)468 3231 y Fx(on)41 b Fq(L)654 3201 y Fo(2)691 3231 y Fx(\()p Fh(R)783 3201 y Fo(3)820 3231 y Fq(;)14 b Fh(C)p Fx(\))949 3201 y Fo(2)987 3231 y Fx(.)37 b(This)27 b(op)r(erator)f(is)h(self-adjoin)n(t)h(with)g (domain)41 b Fq(H)2656 3201 y Fo(2)2693 3231 y Fx(\()p Fh(R)2785 3201 y Fo(3)2822 3231 y Fq(;)14 b Fh(C)p Fx(\))2951 3201 y Fo(2)468 3331 y Fx(and)40 b(form-domain)52 b Fq(H)1235 3301 y Fo(1)1272 3331 y Fx(\()p Fh(R)1364 3301 y Fo(3)1402 3331 y Fq(;)14 b Fh(C)p Fx(\))1531 3301 y Fo(2)1568 3331 y Fx(.)74 b(An)40 b(easy)f(analysis)g(sho)n(ws)f(that)i(for)g(all)468 3431 y Fq(\027)28 b(>)23 b Fx(0,)k Fq(A)779 3443 y Fn(\027)849 3431 y Fx(has)g(t)n(w)n(o)f(families)i(of)g(eigen)n(v)-5 b(alues:)874 3663 y Fq(E)940 3628 y Fp(\000)935 3683 y Fn(\027;n)1057 3663 y Fx(=)22 b Fv(\000)p Fx(1)c(+)1391 3607 y Fq(\027)1437 3576 y Fo(2)p 1362 3644 143 4 v 1362 3720 a Fx(4)c Fq(n)1468 3696 y Fo(2)1528 3663 y Fq(;)97 b(E)1714 3628 y Fo(+)1709 3683 y Fn(\027;n)1831 3663 y Fx(=)22 b(1)c Fv(\000)2101 3607 y Fq(\027)2147 3576 y Fo(2)p 2071 3644 V 2071 3720 a Fx(4)c Fq(n)2177 3696 y Fo(2)2238 3663 y Fq(;)97 b(n)22 b Fv(\025)h Fx(1)14 b Fq(;)468 3883 y Fx(and)27 b(moreo)n(v)n(er)39 b Fq(a)1045 3853 y Fp(\006)1045 3904 y Fn(\027)1124 3883 y Fx(=)23 b Fq(E)1278 3848 y Fp(\006)1273 3905 y Fn(\027;)p Fo(1)1364 3883 y Fx(.)593 3997 y(F)-7 b(urthermore,)43 b(for)e(all)54 b Fq(k)49 b Fv(\025)c Fx(1,)f Fq(\025)1756 3961 y Fp(\006)1756 4022 y Fn(\027;k)1896 3997 y Fx(=)h Fq(E)2072 3961 y Fp(\006)2067 4025 y Fn(\027;n)p Fo(\()p Fn(k)q Fo(\))2296 3997 y Fx(if)d(and)e(only)h(if)h Fq(\027)51 b Fv(\024)468 4055 y Fg(q)p 551 4055 178 4 v 581 4117 a Fo(8)11 b Fn(n)666 4101 y Fl(2)p 561 4131 158 4 v 561 4179 a Fn(n)602 4162 y Fl(2)634 4179 y Fo(+1)742 4150 y Fx(,)30 b Fq(n)d Fx(=)f Fq(n)p Fx(\()p Fq(k)s Fx(\).)43 b(Notice)29 b(indeed)h(that)g(the)g (eigen)n(v)-5 b(alues)28 b(are)h(degenerate)468 4267 y(for)34 b(an)n(y)f Fq(n)h Fv(\025)f Fx(2,)i(so)f(that)g(w)n(e)g(ha)n (v)n(e)f(to)h(coun)n(t)f(the)i(lev)n(els)e(with)i(m)n(ultiplicit)n(y) 468 4393 y(and)d(in)n(tro)r(duce)f Fq(n)f Fx(:=)f Fq(n)p Fx(\()p Fq(k)s Fx(\).)49 b(If)33 b Fq(\027)i Fv(2)1685 4301 y Fg(\020)1734 4298 y(q)p 1817 4298 178 4 v 1847 4361 a Fo(8)12 b Fn(n)1933 4344 y Fl(2)p 1827 4375 158 4 v 1827 4422 a Fn(n)1868 4405 y Fl(2)1901 4422 y Fo(+1)1995 4393 y Fq(;)2032 4325 y Fv(p)p 2101 4325 42 4 v 68 x Fx(8)2142 4301 y Fg(\021)2192 4393 y Fx(,)63 b Fq(\025)2326 4358 y Fp(\006)2326 4418 y Fn(\027;k)2450 4393 y Fx(=)30 b Fq(E)2611 4358 y Fp(\007)2606 4415 y Fn(\027;)p Fo(1)2742 4393 y Fx(for)h(an)n(y)468 4518 y Fq(n)23 b Fx(=)g Fq(n)p Fx(\()p Fq(k)s Fx(\))g Fv(\025)g Fx(1.)593 4668 y(Hence,)34 b(if)48 b Fq(\027)37 b Fv(\024)32 b Fx(2,)i(all)f(the)g(eigen)n(v)-5 b(alues)32 b(of)h(op)r(erator)46 b Fq(A)2460 4680 y Fn(\027)2548 4668 y Fx(are)32 b(giv)n(en)h(b)n(y)468 4768 y(the)c(v)-5 b(ariational)28 b(pro)r(cedures)f(de\014ning)i(the)h(n)n(um)n(b)r(ers) 42 b Fq(\025)2304 4733 y Fp(\006)2304 4793 y Fn(k)2361 4768 y Fx('s.)e(In)30 b(the)f(in)n(terv)-5 b(al)468 4877 y Fq(\027)28 b Fv(2)c Fx(\(2)p Fq(;)727 4808 y Fv(p)p 796 4808 V 69 x Fx(8)o(\))f(some)g(\(but)g(not)g(all\))g(of)g(them)g (still)g(satisfy)f(this)h(prop)r(ert)n(y)-7 b(.)35 b(These)468 4976 y(results)27 b(are)g(illustrated)g(in)h(Fig.)f(1)h(b)r(elo)n(w.)p Black 1712 5225 a Fj(5)p Black eop end %%Page: 6 6 TeXDict begin 6 5 bop Black Black 891 573 a Ft(3)135 b(Application)46 b(to)f(Dirac)g(op)t(erators)891 757 y Fx(Let)28 b(us)g(consider)e(the)i(free)g(Dirac)f(op)r(erator)1713 1017 y Fq(H)1782 1029 y Fo(0)1842 1017 y Fx(:=)c Fv(\000)p Fq(i)2117 913 y Fo(3)2074 938 y Fg(X)2073 1117 y Fn(k)q Fo(=1)2208 1017 y Fq(\013)2261 1029 y Fn(k)2316 1017 y Fq(@)2360 1029 y Fn(k)2419 1017 y Fx(+)c Fq(\014)32 b(;)891 1276 y Fx(where)25 b(w)n(e)f(ha)n(v)n(e)g(written)h(it)h(in)f (ph)n(ysical)f(units)h(for)g(whic)n(h)g(the)g(sp)r(eed)g(of)g(ligh)n (t,)891 1376 y(the)f(mass)f(of)g(the)h(electron)f(and)g(Planc)n(k's)f (constan)n(t)g(are)h(tak)n(en)f(equal)h(to)h(1.)35 b(In)891 1476 y(the)24 b(Dirac)f(equation,)h Fq(\013)1663 1488 y Fo(1)1700 1476 y Fq(;)14 b(\013)1790 1488 y Fo(2)1827 1476 y Fq(;)g(\013)1917 1488 y Fo(3)1978 1476 y Fx(and)23 b Fq(\014)28 b Fx(are)22 b(4)10 b Fv(\002)g Fx(4)22 b(complex)h (matrices,)g(whose)891 1575 y(standard)k(form)g(\(in)h(2)18 b Fv(\002)g Fx(2)28 b(blo)r(c)n(ks\))f(is)1214 1810 y Fq(\014)h Fx(=)1377 1693 y Fg(\022)1438 1760 y Fq(I)123 b Fx(0)1438 1859 y(0)84 b Fv(\000)p Fq(I)1671 1693 y Fg(\023)1769 1810 y Fq(;)60 b(\013)1905 1822 y Fn(k)1969 1810 y Fx(=)2057 1693 y Fg(\022)2141 1760 y Fx(0)106 b Fq(\033)2336 1772 y Fn(k)2118 1859 y Fq(\033)2165 1871 y Fn(k)2313 1859 y Fx(0)2378 1693 y Fg(\023)2619 1810 y Fx(\()p Fq(k)26 b Fx(=)c(1)p Fq(;)28 b Fx(2)p Fq(;)f Fx(3\))14 b Fq(;)891 2104 y Fx(and)22 b Fq(\033)1094 2116 y Fn(k)1136 2104 y Fx(,)h Fq(k)j Fx(=)d(1)p Fq(;)k Fx(2)p Fq(;)g Fx(3,)c(are)e(the)i(2)8 b Fv(\002)g Fx(2)20 b(complex)h(P)n(auli)h(matrices:)33 b Fq(\033)3006 2116 y Fo(1)3067 2104 y Fx(=)3154 2011 y Fg(\020)3204 2053 y Fo(0)83 b(1)3204 2152 y(1)g(0)3353 2011 y Fg(\021)3403 2104 y Fx(,)891 2311 y Fq(\033)938 2323 y Fo(2)999 2311 y Fx(=)1087 2219 y Fg(\020)1136 2260 y Fo(0)h Fp(\000)p Fn(i)1141 2360 y(i)110 b Fo(0)1328 2219 y Fg(\021)1377 2311 y Fx(,)28 b Fq(\033)1475 2323 y Fo(3)1536 2311 y Fx(=)1624 2219 y Fg(\020)1673 2260 y Fo(1)109 b(0)1673 2360 y(0)83 b Fp(\000)p Fo(1)1874 2219 y Fg(\021)1924 2311 y Fx(.)37 b(Let)28 b Fq(V)46 b Fx(b)r(e)28 b(a)f(scalar)f(p)r (oten)n(tial)i(satisfying)1910 2546 y(lim)1837 2604 y Fp(j)p Fn(x)p Fp(j!)p Fo(+)p Fp(1)2112 2546 y Fq(V)19 b Fx(\()p Fq(x)p Fx(\))24 b(=)e(0)14 b Fq(;)840 b Fx(\(4\))891 2778 y(and)30 b(assume)g(that)g(it)g(is)g(con)n(tin)n(uous)f(ev)n (erywhere)f(except)i(at)g(t)n(w)n(o)f(\014nite)i(sets)891 2878 y(of)d(isolated)f(p)r(oin)n(ts,)41 b Fv(f)p Fq(x)1666 2842 y Fo(+)1666 2901 y Fn(i)1721 2878 y Fv(g)14 b Fx(,)41 b Fv(f)p Fq(x)1930 2842 y Fp(\000)1930 2901 y Fn(j)1986 2878 y Fv(g)p Fq(;)c(i)22 b Fx(=)h(1)p Fq(;)14 b(:)g(:)g(:)f(I)7 b(;)37 b(j)28 b Fx(=)23 b(1)p Fq(;)14 b(:)g(:)g(:)f(;)h(J)o(;)41 b Fx(where)1090 3077 y(lim)1206 3103 y Fn(x)p Fp(!)p Fn(x)1348 3076 y Fl(+)1348 3122 y Fi(i)1412 3077 y Fq(V)19 b Fx(\()p Fq(x)p Fx(\))24 b(=)e(+)p Fv(1)14 b Fq(;)168 b Fx(lim)2170 3103 y Fn(x)p Fp(!)p Fn(x)2312 3076 y Fl(+)2312 3122 y Fi(i)2376 3077 y Fq(V)19 b Fx(\()p Fq(x)p Fx(\))14 b Fv(j)p Fq(x)20 b Fv(\000)e Fq(x)2788 3042 y Fo(+)2788 3101 y Fn(i)2843 3077 y Fv(j)23 b(\024)g Fq(\027)3018 3089 y Fn(i)1090 3293 y Fx(lim)1206 3319 y Fn(x)p Fp(!)p Fn(x)1348 3293 y Fm(\000)1348 3338 y Fi(j)1414 3293 y Fq(V)c Fx(\()p Fq(x)p Fx(\))24 b(=)f Fv(\0001)14 b Fq(;)165 b Fx(lim)2170 3319 y Fn(x)p Fp(!)p Fn(x)2312 3293 y Fm(\000)2312 3338 y Fi(j)2378 3293 y Fq(V)19 b Fx(\()p Fq(x)p Fx(\))14 b Fv(j)p Fq(x)20 b Fv(\000)e Fq(x)2790 3258 y Fp(\000)2790 3317 y Fn(j)2846 3293 y Fv(j)24 b(\025)e(\000)p Fq(\027)3086 3305 y Fn(j)3320 3197 y Fx(\(5\))891 3503 y(with)43 b Fq(\027)1136 3515 y Fn(i)1163 3503 y Fq(;)14 b(\027)1241 3515 y Fn(j)1299 3503 y Fv(2)24 b Fx(\(0)p Fq(;)14 b Fx(1\))27 b(for)h(all)41 b Fq(i;)27 b(j)5 b Fx(.)38 b(Under)27 b(the)h(ab)r(o)n(v)n(e)f(assumptions,)g Fq(H)3220 3515 y Fo(0)3276 3503 y Fx(+)18 b Fq(V)891 3602 y Fx(has)35 b(a)f(distinguished)h(self-adjoin)n(t)f(extension)g Fq(A)h Fx(with)h(domain)e Fv(D)r Fx(\()p Fq(A)p Fx(\))i(suc)n(h)891 3702 y(that)1490 3805 y Fq(H)1566 3771 y Fo(1)1603 3805 y Fx(\()p Fh(R)1695 3771 y Fo(3)1733 3805 y Fq(;)14 b Fh(C)1830 3771 y Fo(4)1867 3805 y Fx(\))23 b Fv(\032)g(D)r Fx(\()p Fq(A)p Fx(\))h Fv(\032)f Fq(H)2390 3771 y Fo(1)p Fn(=)p Fo(2)2494 3805 y Fx(\()p Fh(R)2586 3771 y Fo(3)2623 3805 y Fq(;)14 b Fh(C)2720 3771 y Fo(4)2758 3805 y Fx(\))g Fq(;)891 3959 y Fx(the)28 b(essen)n(tial)f(sp)r(ectrum)h(of)f Fq(A)h Fx(is)g(the)g(same)f(as)g(that)h(of)f Fq(H)2792 3971 y Fo(0)2843 3959 y Fx(:)1567 4144 y Fq(\033)1614 4156 y Fo(ess)1701 4144 y Fx(\()p Fq(A)p Fx(\))51 b(=)g(\()p Fv(\0001)p Fq(;)14 b Fv(\000)p Fx(1])j Fv([)i Fx([1)p Fq(;)14 b Fx(+)p Fv(1)p Fx(\))g Fq(;)891 4329 y Fx(\(see)23 b([16)o(,)f(14)o(,)h(11)o(,)f(9])g(\).)36 b(Finally)-7 b(,)37 b Fq(V)55 b Fx(sends)36 b Fv(D)r Fx(\()p Fq(A)p Fx(\))i(in)n(to)22 b(its)g(dual,)i(since)e(\(4\)-\(5\))891 4429 y(imply)28 b(that)g(for)f(all)41 b Fq(\036)24 b Fv(2)f Fq(H)1787 4399 y Fo(1)p Fn(=)p Fo(2)1892 4429 y Fx(\()p Fh(R)1984 4399 y Fo(3)2021 4429 y Fx(\),)28 b Fq(V)19 b(\036)k Fv(2)h Fq(H)2398 4399 y Fp(\000)p Fo(1)p Fn(=)p Fo(2)2554 4429 y Fx(\()p Fh(R)2646 4399 y Fo(3)2683 4429 y Fx(\).)1016 4582 y(In)37 b(this)g(section,)i(w)n(e)d (shall)h(pro)n(v)n(e)e(the)i(v)-5 b(alidit)n(y)37 b(of)g(a)f(v)-5 b(ariational)35 b(c)n(har-)891 4682 y(acterization)30 b(of)i(the)g(eigen)n(v)-5 b(alues)30 b(of)45 b Fq(H)2207 4694 y Fo(0)2265 4682 y Fx(+)21 b Fq(V)64 b Fx(corresp)r(onding)29 b(to)j(the)f(p)r(osi-)891 4781 y(tiv)n(e/negativ)n(e)26 b(sp)r(ectral)h(decomp)r(osition)g(of)h(the)g(free)f(Dirac)g(op)r (erator)40 b Fq(H)3293 4793 y Fo(0)3344 4781 y Fx(:)1873 4976 y Fv(H)24 b Fx(=)f Fv(H)2126 4936 y Fn(f)2125 4997 y Fo(+)2198 4976 y Fv(\010)18 b(H)2352 4936 y Fn(f)2351 4997 y Fp(\000)2421 4976 y Fq(;)p Black 2136 5225 a Fj(6)p Black eop end %%Page: 7 7 TeXDict begin 7 6 bop Black Black 468 573 a Fx(with)42 b Fv(H)742 533 y Fn(f)741 594 y Fp(\006)820 573 y Fx(=)23 b(\003)966 533 y Fn(f)966 594 y Fp(\006)1022 573 y Fv(H)q Fx(,)k(where)1006 796 y(\003)1064 756 y Fn(f)1064 817 y Fo(+)1141 796 y Fx(=)c Fq(\037)1281 811 y Fo(\(0)p Fn(;)p Fo(+)p Fp(1)p Fo(\))1507 796 y Fx(\()p Fq(H)1608 808 y Fo(0)1645 796 y Fx(\))h(=)1798 740 y(1)p 1798 777 42 4 v 1798 853 a(2)1850 704 y Fg(\020)1899 796 y Fx(Id)19 b(+)2175 740 y Fq(H)2244 752 y Fo(0)p 2087 777 282 4 v 2087 794 a Fv(p)p 2156 794 213 4 v 67 x Fx(1)f Fv(\000)g Fx(\001)2378 704 y Fg(\021)2442 796 y Fq(;)1005 1069 y Fx(\003)1063 1029 y Fn(f)1063 1090 y Fp(\000)1141 1069 y Fx(=)23 b Fq(\037)1281 1084 y Fo(\()p Fp(\0001)p Fn(;)p Fo(0\))1508 1069 y Fx(\()p Fq(H)1609 1081 y Fo(0)1646 1069 y Fx(\))h(=)1799 1013 y(1)p 1799 1050 42 4 v 1799 1126 a(2)1851 977 y Fg(\020)1900 1069 y Fx(Id)19 b Fv(\000)2175 1013 y Fq(H)2244 1025 y Fo(0)p 2088 1050 282 4 v 2088 1067 a Fv(p)p 2157 1067 213 4 v 67 x Fx(1)f Fv(\000)g Fx(\001)2379 977 y Fg(\021)2443 1069 y Fq(:)468 1257 y Fx(This)k(will)g(b)r(e)g(done)g(under)g(conditions)f(whic)n(h)h(are)f (optimal)h(for)f(the)i(p)r(oten)n(tials)468 1357 y(satisfying)i (\(4\)-\(5\))h(using)g(Theorem)f(1)g(and)h(2.)36 b(As)26 b(already)e(stated)i(in)g([4],)g(the)468 1457 y(theorem)f(is)h(optimal) f(in)h(the)g(sense)f(that)h(it)g(co)n(v)n(ers)d(the)j(optimal)g(range)e (in)i(the)468 1556 y(case)k(of)h(Coulom)n(b)f(p)r(oten)n(tials.)46 b(If)31 b(w)n(e)g(consider)f(the)h(op)r(erator)43 b Fq(A)2625 1568 y Fn(\034)2695 1556 y Fx(:=)28 b Fq(H)2880 1568 y Fo(0)2938 1556 y Fx(+)468 1656 y Fq(\034)c(V)32 b Fx(,)d Fq(\034)34 b(>)24 b Fx(0,)29 b(with)g Fq(V)47 b Fx(satisfying)28 b(\(4\)-\(5\),)g(our)g(v)-5 b(ariational)27 b(c)n(haracterization)468 1755 y(will)h(pro)n(vide)e(us)i(with)g(all)f(eigen)n(v)-5 b(alues)27 b(of)g Fq(A)1917 1767 y Fn(\034)1987 1755 y Fx(as)g(long)f(as)h Fq(\034)38 b Fx(is)27 b(not)h(to)r(o)f(big.)p Black 468 1902 a Fu(Theorem)k(3)p Black 46 w Fk(T)-6 b(ake)31 b(a)f(p)l(ositive)i(inte)l(ger)44 b Fq(k)1873 1914 y Fo(0)1955 1902 y Fk(and)30 b(any)h Fq(k)c Fv(\025)c Fq(k)2477 1914 y Fo(0)2559 1902 y Fk(and)30 b(let)h Fq(A)f Fk(b)l(e)468 2001 y(the)e(self-adjoint)h(extension)e(of)h Fq(H)1561 2013 y Fo(0)1612 2001 y Fx(+)13 b Fq(V)46 b Fk(de\014ne)l(d)28 b(ab)l(ove,)h(wher)l(e)f Fq(V)47 b Fk(is)27 b(a)h(sc)l(alar)468 2101 y(p)l(otential)j(satisfying)g (\(4\)-\(5\).)593 2200 y(If)48 b Fq(a)742 2170 y Fp(\000)828 2200 y Fq(<)30 b(\025)971 2165 y Fo(+)971 2226 y Fn(k)1006 2234 y Fl(0)1074 2200 y Fq(<)g Fx(1)p Fk(,)35 b(then)47 b Fq(\025)1521 2165 y Fo(+)1521 2226 y Fn(k)1625 2200 y Fk(is)34 b(either)g(an)g(eigenvalue)h(of)49 b Fq(H)2671 2212 y Fo(0)2730 2200 y Fx(+)21 b Fq(V)66 b Fk(in)468 2314 y(the)32 b(interval)46 b Fx(\()p Fq(a)1004 2283 y Fp(\000)1061 2314 y Fq(;)14 b Fx(1\))p Fk(,)32 b(or)46 b Fq(\025)1400 2278 y Fo(+)1400 2339 y Fn(k)1482 2314 y Fx(=)27 b(1)p Fk(.)44 b(If)32 b(additional)t(ly)49 b Fq(V)d Fv(\025)26 b Fx(0)p Fk(,)32 b(then)46 b Fq(a)2773 2283 y Fp(\000)2856 2314 y Fx(=)26 b(1)468 2413 y Fk(and)44 b Fq(\025)691 2378 y Fo(+)691 2438 y Fn(k)770 2413 y Fx(=)22 b(1)p Fk(.)593 2513 y(If)50 b Fv(\000)p Fx(1)34 b Fq(<)g(\025)988 2477 y Fp(\000)988 2538 y Fn(k)1023 2546 y Fl(0)1095 2513 y Fq(<)g(a)1238 2483 y Fo(+)1293 2513 y Fk(,)k(then)50 b Fq(\025)1609 2477 y Fp(\000)1609 2538 y Fn(k)1716 2513 y Fk(is)36 b(either)h(an)f(eigenvalue)i(of)51 b Fq(H)2774 2525 y Fo(0)2834 2513 y Fx(+)23 b Fq(V)468 2626 y Fk(in)37 b(the)g(interval)52 b Fx(\()p Fv(\000)p Fx(1)p Fq(;)14 b(a)1268 2596 y Fo(+)1322 2626 y Fx(\))52 b Fk(or)f Fq(\025)1582 2590 y Fp(\000)1582 2651 y Fn(k)1675 2626 y Fx(=)36 b Fv(\000)p Fx(1)p Fk(.)60 b(If)37 b(additional)t(ly)54 b Fq(V)i Fv(\024)36 b Fx(0)p Fk(,)i(then)468 2726 y Fq(a)512 2696 y Fo(+)590 2726 y Fx(=)23 b Fv(\000)p Fx(1)42 b Fk(and)i Fq(\025)1050 2690 y Fp(\000)1050 2751 y Fn(k)1130 2726 y Fx(=)23 b Fv(\000)p Fx(1)p Fk(.)468 2872 y Fx(The)32 b(sequences)f(\()p Fq(\025)1104 2836 y Fo(+)1104 2897 y Fn(k)1160 2872 y Fx(\))1192 2898 y Fn(k)q Fp(\025)p Fn(k)1316 2871 y Fm(\006)1315 2916 y Fl(0)1402 2872 y Fx(and)h(\()p Fq(\025)1648 2836 y Fp(\000)1648 2897 y Fn(k)1705 2872 y Fx(\))1737 2884 y Fn(k)q Fp(\025)p Fo(1)1895 2872 y Fx(are)e(resp)r(ectiv)n(ely)h(nondecreasing)468 2990 y(and)c(nonincreasing.)36 b(The)27 b(sp)r(ectrum)h(of)g Fq(A)g Fx(con)n(tained)e(in)i Fh(R)19 b Fv(n)f Fx([)p Fq(a)2580 2960 y Fo(+)2635 2990 y Fq(;)c(a)2716 2960 y Fp(\000)2772 2990 y Fx(])27 b(is)922 3164 y(\()p Fv(\0001)p Fq(;)14 b Fv(\000)p Fx(1])j Fv([)i(f)p Fq(\025)1450 3130 y Fn(\017)1450 3185 y(k)1537 3164 y Fx(:)46 b Fq(k)26 b Fv(\025)d Fx(1)14 b Fq(;)36 b(\017)23 b Fx(=)g Fv(\006g)17 b([)i Fx([1)p Fq(;)14 b Fx(+)p Fv(1)p Fx(\))22 b Fq(;)468 3339 y Fx(and)37 b(w)n(e)g(do)f(not)h(state)g(an)n(ything)g(ab)r(out)g (the)g(p)r(ossible)g(eigen)n(v)-5 b(alues)36 b(in)h(the)468 3438 y(in)n(terv)-5 b(al)43 b([)p Fq(a)851 3408 y Fo(+)906 3438 y Fq(;)14 b(a)987 3408 y Fp(\000)1043 3438 y Fx(].)43 b(As)30 b(w)n(e)f(sho)n(w)n(ed)f(in)i(the)g(previous)f(section,)g (there)h(can)f(b)r(e)468 3538 y(op)r(erators)d(for)i(whic)n(h)g Fy(all)g Fx(or)f Fy(almost)g(all)h Fx(the)h(eigen)n(v)-5 b(alues)27 b(lie)h(in)g(the)h(in)n(terv)-5 b(al)468 3638 y([)p Fq(a)535 3608 y Fo(+)590 3638 y Fq(;)14 b(a)671 3608 y Fp(\000)727 3638 y Fx(])38 b(and)g(th)n(us,)i(they)e(are)f(not)h (giv)n(en)f(b)n(y)h(the)g(v)-5 b(ariational)37 b(pro)r(cedures)468 3737 y(de\014ning)28 b(the)41 b Fq(\025)986 3702 y Fp(\006)986 3762 y Fn(k)1043 3737 y Fx('s.)593 3883 y(Theorem)24 b(3)h(easily)g(follo)n(ws)g(from)g(Theorem)g(1.)36 b(The)25 b(details)g(of)h(the)g(pro)r(of)468 3983 y(are)18 b(left)i(to)e(the)i (reader.)32 b(The)19 b(con)n(tin)n(uation)f(argumen)n(t)g(of)h(Theorem) f(2)h(applies.)468 4083 y(Indeed,)28 b(\014rst)g(one)f(has)h(to)f (truncate)h(the)g(p)r(oten)n(tial)g(at)f(some)h(lev)n(el)f Fq(M)9 b Fx(,)28 b(apply)468 4182 y(Theorem)20 b(2,)i(and)f(then)h (pass)e(to)h(the)h(limit)f(when)h Fq(M)29 b Fx(go)r(es)20 b(to)h(+)p Fv(1)p Fx(.)35 b(It)21 b(is)g(w)n(orth)468 4282 y(men)n(tionning)i(that)h(b)n(y)f(the)h(con)n(tin)n(uation)e (principle)i(for)f(the)g(Dirac)g(op)r(erators)468 4382 y Fq(H)537 4394 y Fo(0)593 4382 y Fx(+)18 b Fq(\034)23 b(V)c Fx(,)28 b(with)g Fq(V)47 b Fx(satisfying)26 b(\(4\)-\(5\),)i(and) f(the)h(de\014nition)g(of)g Fq(\025)2613 4342 y Fn(\034)s(;)p Fp(\006)2613 4407 y Fn(k)2723 4382 y Fx(,)1152 4565 y(lim)1118 4624 y Fn(\034)7 b Fp(!)p Fo(0)1255 4607 y Fl(+)1316 4565 y Fq(\025)1364 4526 y Fn(\034)s(;)p Fp(\006)1364 4590 y Fn(k)1497 4565 y Fx(=)22 b Fv(\006)p Fx(1)14 b Fq(;)124 b Fx(for)27 b(all)50 b Fq(k)26 b Fv(\025)d Fx(1)14 b Fq(:)468 4777 y Fx(Also)23 b(notice)g(that)g(T)-7 b(alman's)23 b(decomp)r(osition)g([15)o(,)g(4])g Fy(i.e.)35 b Fx(the)24 b(decomp)r(osition)468 4877 y(on)h(\\upp)r(er")f(and)h(\\lo)n(w)n(er")e (t)n(w)n(o-comp)r(onen)n(ts)g(spinors,)i(do)r(es)g(not)g(apply)g(here,) 468 4976 y(while)j(the)g(sp)r(ectral)f(decomp)r(osition)g(applies.)p Black 1712 5225 a Fj(7)p Black eop end %%Page: 8 8 TeXDict begin 8 7 bop Black Black Black 891 573 a Fu(Corollary)32 b(1)p Black 45 w Fk(Under)i(the)g(assumptions)f(of)i(The)l(or)l(em)f (3,)i(a)e(su\016cient)f(c)l(on-)891 672 y(dition)e(for)45 b Fq(\025)1326 637 y Fo(+)1326 695 y(1)1425 672 y Fk(to)29 b(b)l(e)h(in)g(the)g(interval)44 b Fx(\()p Fq(a)2260 642 y Fp(\000)2317 672 y Fq(;)14 b Fx(1\))43 b Fk(is)30 b(:)1126 856 y Fq(c)1162 868 y Fo(1)1217 856 y Fv(\000)1334 800 y Fq(\027)p 1310 837 94 4 v 1310 913 a Fv(j)p Fq(x)p Fv(j)1437 856 y(\024)23 b Fq(V)42 b Fv(\024)22 b Fq(c)1738 868 y Fo(2)1789 856 y Fq(;)99 b(c)1947 868 y Fo(1)1984 856 y Fq(;)37 b(c)2080 868 y Fo(2)2140 856 y Fv(\025)23 b Fx(0)p Fq(;)50 b(c)2379 868 y Fo(1)2435 856 y Fx(+)18 b Fq(c)2554 868 y Fo(2)2610 856 y Fv(\000)g Fx(1)k Fq(<)2845 775 y Fg(p)p 2928 775 227 4 v 81 x Fx(1)c Fv(\000)g Fq(\027)3117 832 y Fo(2)3168 856 y Fq(:)891 1069 y Fk(Pr)l(o)l(of.)39 b Fx(It)28 b(is)f(straigh)n(tforw)n(ard)e(to)i(c)n(hec)n(k)g(that)42 b Fq(a)2468 1039 y Fp(\000)2547 1069 y Fv(\024)23 b Fq(c)2671 1081 y Fo(2)2726 1069 y Fv(\000)18 b Fx(1)41 b(and)978 1251 y Fq(\025)1026 1215 y Fo(+)1026 1273 y(1)1082 1251 y Fx(\()p Fq(V)19 b Fx(\))k Fv(\025)g Fq(\025)1372 1215 y Fo(+)1372 1273 y(1)1427 1158 y Fg(\020)1495 1251 y Fv(\000)1612 1194 y Fq(\027)p 1588 1232 94 4 v 1588 1308 a Fv(j)p Fq(x)p Fv(j)1692 1158 y Fg(\021)1760 1251 y Fv(\000)18 b Fq(c)1879 1263 y Fo(1)1939 1251 y Fx(=)23 b Fq(\025)2075 1263 y Fo(1)2112 1158 y Fg(\020)2162 1251 y Fq(H)2231 1263 y Fo(0)2287 1251 y Fv(\000)2403 1194 y Fq(\027)p 2380 1232 V 2380 1308 a Fv(j)p Fq(x)p Fv(j)2483 1158 y Fg(\021)2551 1251 y Fv(\000)18 b Fq(c)2670 1263 y Fo(1)2730 1251 y Fx(=)2818 1169 y Fg(p)p 2901 1169 227 4 v 82 x Fx(1)g Fv(\000)g Fq(\027)3090 1227 y Fo(2)3146 1251 y Fv(\000)g Fq(c)3265 1263 y Fo(1)3316 1251 y Fq(:)3370 1444 y Fv(t)-55 b(u)1016 1615 y Fx(Recall)24 b(that)h(under)g (assumptions)e(\(4\)-\(5\),)j(for)e(an)n(y)g Fq(k)i Fv(\025)c Fx(1,)j(for)f(the)h(ab)r(o)n(v)n(e)891 1714 y(result)j(to)f(p)r (ossibly)g(imply)h(that)42 b Fq(\025)2018 1679 y Fp(\006)2018 1739 y Fn(k)2102 1714 y Fx(is)28 b(an)f(eigen)n(v)-5 b(alue)27 b(w)n(e)g(need)h(that)1492 1875 y Fv(\006)p Fq(a)1601 1841 y Fp(\007)1680 1875 y Fq(<)22 b Fx(1)111 b(and)128 b Fv(\006)18 b Fx(\()p Fq(\025)2345 1840 y Fp(\006)2345 1897 y Fo(1)2421 1875 y Fv(\000)g Fq(a)2548 1841 y Fp(\007)2604 1875 y Fx(\))23 b Fq(>)g Fx(0)14 b Fq(:)891 2036 y Fx(T)-7 b(o)33 b(illustrate)g(our)f(results,)i(w)n(e) e(end)i(this)f(pap)r(er)f(b)n(y)h(giving)f(some)h(su\016cien)n(t)891 2136 y(conditions)28 b(for)g(these)g(inequalities)g(to)g(hold)g(true.) 39 b(Assume)28 b(that)g Fq(V)48 b Fx(satis\014es)891 2235 y(\(4\)-\(5\))28 b(and)f(can)h(b)r(e)g(written)f(as)1705 2413 y Fq(V)42 b Fx(=)23 b Fv(\000)1962 2334 y Fg(X)1970 2512 y Fn(i)p Fp(2)p Fn(I)2095 2413 y Fq(V)2162 2377 y Fp(\000)2143 2436 y Fn(i)2236 2413 y Fx(+)2319 2334 y Fg(X)2320 2512 y Fn(j)s Fp(2)p Fn(J)2453 2413 y Fq(V)2520 2377 y Fo(+)2501 2436 y Fn(j)2589 2413 y Fq(;)891 2673 y Fx(where)h(the)38 b Fq(V)1348 2637 y Fp(\000)1329 2696 y Fn(i)1404 2673 y Fx('s)24 b(\(resp.)35 b(the)k Fq(V)1944 2637 y Fo(+)1925 2696 y Fn(j)1999 2673 y Fx('s\))24 b(are)f(nonnegativ) n(e)g(p)r(oten)n(tials)g(satisfying)891 2787 y(\(4\)-\(5\),)28 b(with)g(a)f(unique)h(singularit)n(y)e(at)42 b Fq(x)2284 2751 y Fp(\000)2284 2810 y Fn(i)2368 2787 y Fx(\(resp.)36 b(at)42 b Fq(x)2771 2751 y Fo(+)2771 2810 y Fn(j)2826 2787 y Fx(\).)37 b(If)1317 2948 y Fq(\027)1358 2960 y Fn(i)1409 2948 y Fq(;)g(\027)1510 2960 y Fn(j)1568 2948 y Fv(2)23 b Fx([)14 b(0)p Fq(;)27 b Fx(2)p Fq(=)p Fx(\()1901 2925 y Fi(\031)p 1901 2934 36 3 v 1905 2968 a Fl(2)1947 2948 y Fo(+)2011 2925 y Fl(2)p 2008 2934 V 2008 2968 a Fi(\031)2053 2948 y Fx(\))15 b(\))f Fq(;)97 b Fx(for)27 b(all)41 b Fq(i)23 b Fv(2)g Fq(I)e(;)37 b(j)28 b Fv(2)23 b Fq(J)f(;)891 3109 y Fx(it)32 b(follo)n(ws)f(from)f([17])h(and)g([1])g (that)h(there)f(are)f(constan)n(ts)44 b Fq(\016)2866 3073 y Fp(\006)2863 3134 y Fn(`)2952 3109 y Fv(2)29 b Fx(\(0)p Fq(;)14 b Fx(1\))45 b(suc)n(h)891 3208 y(that,)28 b(for)f(all)42 b Fq(i)22 b Fv(2)i Fq(I)d(;)36 b(j)28 b Fv(2)c Fq(J)8 b Fx(,)1182 3369 y Fq(\016)1222 3334 y Fp(\000)1219 3392 y Fn(i)1292 3369 y Fq(H)1361 3381 y Fo(0)1417 3369 y Fv(\000)18 b Fq(V)1567 3334 y Fp(\000)1548 3392 y Fn(i)1646 3369 y Fv(\025)23 b Fx(0)73 b(in)51 b Fv(H)2039 3381 y Fo(+)2117 3369 y Fq(;)60 b(\016)2240 3334 y Fo(+)2237 3392 y Fn(j)2295 3369 y Fq(H)2364 3381 y Fo(0)2420 3369 y Fx(+)18 b Fq(V)2570 3334 y Fp(\000)2551 3392 y Fn(j)2649 3369 y Fv(\024)23 b Fx(0)73 b(in)51 b Fv(H)3042 3381 y Fp(\000)3112 3369 y Fq(;)1011 3569 y(a)1055 3534 y Fp(\000)1133 3569 y Fx(=)70 b(sup)1206 3668 y Fq(e)22 b Fv(2)i Fq(F)1399 3680 y Fp(\000)1163 3768 y Fv(k)p Fq(e)p Fv(k)1286 3780 y Fp(H)1369 3768 y Fx(=)e(1)1454 3569 y(\()p Fq(H)1555 3581 y Fo(0)1611 3569 y Fx(+)c Fq(V)h Fx(\))k Fv(\024)129 b Fx(sup)1948 3668 y Fq(e)23 b Fv(2)g Fq(F)2141 3680 y Fp(\000)1905 3768 y Fv(k)p Fq(e)p Fv(k)2028 3780 y Fp(H)2111 3768 y Fx(=)g(1)2196 3476 y Fg(\020)2246 3569 y Fq(H)2315 3581 y Fo(0)2370 3569 y Fx(+)2453 3490 y Fg(X)2454 3668 y Fn(j)s Fp(2)p Fn(J)2587 3569 y Fq(V)2654 3533 y Fo(+)2635 3592 y Fn(j)2709 3476 y Fg(\021)1816 3902 y Fv(\024)1963 3809 y Fg(\020)2013 3902 y Fx(1)18 b Fv(\000)2156 3823 y Fg(X)2201 4000 y Fn(j)2290 3902 y Fq(\016)2330 3866 y Fo(+)2327 3925 y Fn(j)2385 3809 y Fg(\021)2495 3902 y Fx(sup)2433 4001 y Fq(e)23 b Fv(2)g Fq(F)2626 4013 y Fp(\000)2390 4101 y Fv(k)p Fq(e)p Fv(k)2513 4113 y Fp(H)2596 4101 y Fx(=)g(1)2681 3902 y Fq(H)2750 3914 y Fo(0)2810 3902 y Fx(=)2898 3823 y Fg(X)2942 4000 y Fn(j)3032 3902 y Fq(\016)3072 3866 y Fo(+)3069 3925 y Fn(j)3145 3902 y Fv(\000)18 b Fx(1)c Fq(:)891 4250 y Fx(So,)28 b Fq(a)1074 4220 y Fp(\000)1153 4250 y Fq(<)22 b Fx(1)41 b(if)1956 4283 y Fg(X)1958 4461 y Fn(j)s Fp(2)p Fn(J)2090 4362 y Fq(\016)2130 4326 y Fo(+)2127 4385 y Fn(j)2208 4362 y Fq(<)23 b Fx(2)14 b Fq(:)945 b Fx(\(6\))891 4597 y(Next,)28 b(let)g(us)g(estimate)41 b Fq(\025)1738 4562 y Fo(+)1738 4619 y(1)1794 4597 y Fx(.)c(F)-7 b(or)27 b(ev)n(ery)40 b Fq(e)2275 4609 y Fo(+)2353 4597 y Fv(2)23 b Fq(F)2484 4609 y Fo(+)2540 4597 y Fx(,)1156 4784 y(sup)992 4884 y Fq(e)g Fv(2)g Fx([)p Fq(e)1194 4896 y Fo(+)1249 4884 y Fx(])p Fv(\010)o Fq(F)1389 4896 y Fp(\000)1051 4984 y Fv(k)p Fq(e)p Fv(k)1174 4996 y Fp(H)1257 4984 y Fx(=)g(1)1388 4784 y(\()p Fq(H)1489 4796 y Fo(0)1545 4784 y Fx(+)18 b Fq(V)h Fx(\))k Fv(\025)69 b Fx(sup)1807 4884 y Fq(e)23 b Fv(2)g Fx([)p Fq(e)2009 4896 y Fo(+)2064 4884 y Fx(])1780 4984 y Fv(k)p Fq(e)p Fv(k)1903 4996 y Fp(H)1985 4984 y Fx(=)g(1)2070 4692 y Fg(\020)2120 4784 y Fq(H)2189 4796 y Fo(0)2244 4784 y Fv(\000)2327 4706 y Fg(X)2336 4884 y Fn(i)p Fp(2)p Fn(I)2475 4784 y Fq(V)2542 4749 y Fp(\000)2523 4808 y Fn(i)2598 4692 y Fg(\021)2671 4784 y Fv(\025)2758 4692 y Fg(\020)2808 4784 y Fx(1)18 b Fv(\000)2951 4706 y Fg(X)2999 4882 y Fn(i)3085 4784 y Fq(\016)3125 4749 y Fp(\000)3122 4808 y Fn(i)3181 4692 y Fg(\021)3244 4784 y Fq(;)p Black 2136 5225 a Fj(8)p Black eop end %%Page: 9 9 TeXDict begin 9 8 bop Black Black 468 573 a Fx(and)27 b(hence)1423 676 y Fq(\025)1471 640 y Fo(+)1471 698 y(1)1550 676 y Fv(\025)22 b Fx(1)c Fv(\000)1780 597 y Fg(X)1829 773 y Fn(i)1914 676 y Fq(\016)1954 640 y Fp(\000)1951 699 y Fn(i)2024 676 y Fq(:)468 914 y Fx(So,)27 b(\014nally)-7 b(,)42 b Fq(\025)936 879 y Fo(+)936 937 y(1)1014 914 y Fq(>)23 b(a)1146 884 y Fp(\000)1257 914 y Fx(if)1347 1038 y Fg(X)1356 1216 y Fn(i)p Fp(2)p Fn(I)1480 1117 y Fq(\016)1520 1082 y Fp(\000)1517 1140 y Fn(i)1595 1117 y Fx(+)1678 1038 y Fg(X)1679 1216 y Fn(j)s Fp(2)p Fn(J)1812 1117 y Fq(\016)1852 1082 y Fo(+)1849 1140 y Fn(j)1944 1117 y Fq(<)36 b Fx(2)14 b Fq(:)772 b Fx(\(7\))468 1401 y(Similar)33 b(computations)g(sho)n(w)g(that)g Fq(\025)1728 1365 y Fp(\000)1728 1423 y Fo(1)1804 1401 y Fq(<)19 b(a)1932 1371 y Fo(+)2020 1401 y Fx(if)34 b(\(7\))g(holds)f(and)g Fq(a)2676 1371 y Fo(+)2740 1401 y Fq(>)9 b Fv(\000)p Fx(1)33 b(if)468 1500 y(additionally)1533 1536 y Fg(X)1541 1714 y Fn(i)p Fp(2)p Fn(I)1666 1615 y Fq(\016)1706 1580 y Fp(\000)1703 1638 y Fn(i)1786 1615 y Fq(<)22 b Fx(2)14 b Fq(:)944 b Fx(\(8\))593 1903 y(Conditions)20 b(\(6\),)j(\(7\))e(and)f (\(8\))i(are)d(v)n(ery)h(restrictiv)n(e.)34 b(If)21 b(the)g(in)n (terdistances)468 2003 y(b)r(et)n(w)n(een)41 b(the)g(singularit)n(y)f 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%A8FD10FFA8FFA8FFA8FD1DFFA8FD26FFA8FD19FFA8FD0AFF7DA8FD05FF7D %FD09FF7D527D7DFF7DA8FD1CFFA8FD25FFA8A8FD18FFA8A8FD0AFFA8A8A8 %FFA8FF52527DFFFFFFA8FFA8FFFF7D27FFA8A8277DFD1BFFA8A8FD4EFF7D %7DA8FF7DFFFFFF7D7D7DA8FFFF52527DFD04FFA8FD1BFFA8FD4DFFA85252 %52A8A8FFFFA8A87DA8A8FFA8277D7D7DA8A8FF27A8FD69FFA8A852527DFD %0CFFA827A8FF7DA8FD6BFFA87DFD0DFF7DA8FF7D52A8FD7DFFA8FD91FFFF %%EndData %%EndComments %%BeginDefaults %%ViewingOrientation: 1 0 0 1 %%EndDefaults %%BeginProlog %%BeginResource: procset Adobe_AGM_Utils 1.0 0 %%Version: 1.0 0 %%Copyright: Copyright (C) 2000-2003 Adobe Systems, Inc. All Rights Reserved. systemdict /setpacking known { currentpacking true setpacking } if userdict /Adobe_AGM_Utils 68 dict dup begin put /bdf { bind def } bind def /nd{ null def }bdf /xdf { exch def }bdf /ldf { load def }bdf /ddf { put }bdf /xddf { 3 -1 roll put }bdf /xpt { exch put }bdf /ndf { exch dup where{ pop pop pop }{ xdf }ifelse }def /cdndf { exch dup currentdict exch known{ pop pop }{ exch def }ifelse }def /bdict { mark }bdf /edict { counttomark 2 idiv dup dict begin {def} repeat pop currentdict end }def /ps_level /languagelevel where{ pop systemdict /languagelevel get exec }{ 1 }ifelse def /level2 ps_level 2 ge def /level3 ps_level 3 ge def /ps_version {version cvr} stopped { -1 }if def /makereadonlyarray { /packedarray where{ pop packedarray }{ array astore readonly }ifelse }bdf /map_reserved_ink_name { dup type /stringtype eq{ dup /Red eq{ pop (_Red_) }{ dup /Green eq{ pop (_Green_) }{ dup /Blue eq{ pop (_Blue_) }{ dup () cvn eq{ pop (Process) }if }ifelse }ifelse }ifelse }if }bdf /AGMUTIL_GSTATE 22 dict def /get_gstate { AGMUTIL_GSTATE begin /AGMUTIL_GSTATE_clr_spc currentcolorspace def /AGMUTIL_GSTATE_clr_indx 0 def /AGMUTIL_GSTATE_clr_comps 12 array def mark currentcolor counttomark {AGMUTIL_GSTATE_clr_comps AGMUTIL_GSTATE_clr_indx 3 -1 roll put /AGMUTIL_GSTATE_clr_indx AGMUTIL_GSTATE_clr_indx 1 add def} repeat pop /AGMUTIL_GSTATE_fnt rootfont def /AGMUTIL_GSTATE_lw currentlinewidth def /AGMUTIL_GSTATE_lc currentlinecap def /AGMUTIL_GSTATE_lj currentlinejoin def /AGMUTIL_GSTATE_ml currentmiterlimit def currentdash /AGMUTIL_GSTATE_do xdf /AGMUTIL_GSTATE_da xdf /AGMUTIL_GSTATE_sa currentstrokeadjust def /AGMUTIL_GSTATE_clr_rnd currentcolorrendering def /AGMUTIL_GSTATE_op currentoverprint def /AGMUTIL_GSTATE_bg currentblackgeneration cvlit def /AGMUTIL_GSTATE_ucr currentundercolorremoval cvlit def currentcolortransfer cvlit /AGMUTIL_GSTATE_gy_xfer xdf cvlit /AGMUTIL_GSTATE_b_xfer xdf cvlit /AGMUTIL_GSTATE_g_xfer xdf cvlit /AGMUTIL_GSTATE_r_xfer xdf /AGMUTIL_GSTATE_ht currenthalftone def /AGMUTIL_GSTATE_flt currentflat def end }def /set_gstate { AGMUTIL_GSTATE begin AGMUTIL_GSTATE_clr_spc setcolorspace AGMUTIL_GSTATE_clr_indx {AGMUTIL_GSTATE_clr_comps AGMUTIL_GSTATE_clr_indx 1 sub get /AGMUTIL_GSTATE_clr_indx AGMUTIL_GSTATE_clr_indx 1 sub def} repeat setcolor AGMUTIL_GSTATE_fnt setfont AGMUTIL_GSTATE_lw setlinewidth AGMUTIL_GSTATE_lc setlinecap AGMUTIL_GSTATE_lj setlinejoin AGMUTIL_GSTATE_ml setmiterlimit AGMUTIL_GSTATE_da AGMUTIL_GSTATE_do setdash AGMUTIL_GSTATE_sa setstrokeadjust AGMUTIL_GSTATE_clr_rnd setcolorrendering AGMUTIL_GSTATE_op setoverprint AGMUTIL_GSTATE_bg cvx setblackgeneration AGMUTIL_GSTATE_ucr cvx setundercolorremoval AGMUTIL_GSTATE_r_xfer cvx AGMUTIL_GSTATE_g_xfer cvx AGMUTIL_GSTATE_b_xfer cvx AGMUTIL_GSTATE_gy_xfer cvx setcolortransfer AGMUTIL_GSTATE_ht /HalftoneType get dup 9 eq exch 100 eq or { currenthalftone /HalftoneType get AGMUTIL_GSTATE_ht /HalftoneType get ne { mark AGMUTIL_GSTATE_ht {sethalftone} stopped cleartomark } if }{ AGMUTIL_GSTATE_ht sethalftone } ifelse AGMUTIL_GSTATE_flt setflat end }def /get_gstate_and_matrix { AGMUTIL_GSTATE begin /AGMUTIL_GSTATE_ctm matrix currentmatrix def end get_gstate }def /set_gstate_and_matrix { set_gstate AGMUTIL_GSTATE begin AGMUTIL_GSTATE_ctm setmatrix end }def /AGMUTIL_str256 256 string def /AGMUTIL_src256 256 string def /AGMUTIL_dst64 64 string def /AGMUTIL_srcLen nd /AGMUTIL_ndx nd /agm_sethalftone { dup begin /_Data load /Thresholds xdf end level3 { sethalftone }{ dup /HalftoneType get 3 eq { sethalftone } {pop} ifelse }ifelse } def /rdcmntline { currentfile AGMUTIL_str256 readline pop (%) anchorsearch {pop} if } bdf /filter_cmyk { dup type /filetype ne{ exch () /SubFileDecode filter } { exch pop } ifelse [ exch { AGMUTIL_src256 readstring pop dup length /AGMUTIL_srcLen exch def /AGMUTIL_ndx 0 def AGMCORE_plate_ndx 4 AGMUTIL_srcLen 1 sub{ 1 index exch get AGMUTIL_dst64 AGMUTIL_ndx 3 -1 roll put /AGMUTIL_ndx AGMUTIL_ndx 1 add def }for pop AGMUTIL_dst64 0 AGMUTIL_ndx getinterval } bind /exec cvx ] cvx } bdf /filter_indexed_devn { cvi Names length mul names_index add Lookup exch get } bdf /filter_devn { 4 dict begin /srcStr xdf /dstStr xdf dup type /filetype ne{ 0 () /SubFileDecode filter }if [ exch [ /devicen_colorspace_dict /AGMCORE_gget cvx /begin cvx currentdict /srcStr get /readstring cvx /pop cvx /dup cvx /length cvx 0 /gt cvx [ Adobe_AGM_Utils /AGMUTIL_ndx 0 /ddf cvx names_index Names length currentdict /srcStr get length 1 sub { 1 /index cvx /exch cvx /get cvx currentdict /dstStr get /AGMUTIL_ndx /load cvx 3 -1 /roll cvx /put cvx Adobe_AGM_Utils /AGMUTIL_ndx /AGMUTIL_ndx /load cvx 1 /add cvx /ddf cvx } for currentdict /dstStr get 0 /AGMUTIL_ndx /load cvx /getinterval cvx ] cvx /if cvx /end cvx ] cvx bind /exec cvx ] cvx end } bdf /AGMUTIL_imagefile nd /read_image_file { AGMUTIL_imagefile 0 setfileposition 10 dict begin /imageDict xdf /imbufLen Width BitsPerComponent mul 7 add 8 idiv def /imbufIdx 0 def /origDataSource imageDict /DataSource get def /origMultipleDataSources imageDict /MultipleDataSources get def /origDecode imageDict /Decode get def /dstDataStr imageDict /Width get colorSpaceElemCnt mul string def /srcDataStrs [ imageDict begin currentdict /MultipleDataSources known {MultipleDataSources {DataSource length}{1}ifelse}{1} ifelse { Width Decode length 2 div mul cvi string } repeat end ] def imageDict /MultipleDataSources known {MultipleDataSources}{false} ifelse { /imbufCnt imageDict /DataSource get length def /imbufs imbufCnt array def 0 1 imbufCnt 1 sub { /imbufIdx xdf imbufs imbufIdx imbufLen string put imageDict /DataSource get imbufIdx [ AGMUTIL_imagefile imbufs imbufIdx get /readstring cvx /pop cvx ] cvx put } for DeviceN_PS2 { imageDict begin /DataSource [ DataSource /devn_sep_datasource cvx ] cvx def /MultipleDataSources false def /Decode [0 1] def end } if }{ /imbuf imbufLen string def Indexed_DeviceN level3 not and DeviceN_NoneName or { imageDict begin /DataSource [AGMUTIL_imagefile Decode BitsPerComponent false 1 /filter_indexed_devn load dstDataStr srcDataStrs devn_alt_datasource /exec cvx] cvx def /Decode [0 1] def end }{ imageDict /DataSource {AGMUTIL_imagefile imbuf readstring pop} put } ifelse } ifelse imageDict exch load exec imageDict /DataSource origDataSource put imageDict /MultipleDataSources origMultipleDataSources put imageDict /Decode origDecode put end } bdf /write_image_file { begin { (AGMUTIL_imagefile) (w+) file } stopped{ false }{ Adobe_AGM_Utils/AGMUTIL_imagefile xddf 2 dict begin /imbufLen Width BitsPerComponent mul 7 add 8 idiv def MultipleDataSources {DataSource 0 get}{DataSource}ifelse type /filetype eq { /imbuf imbufLen string def }if 1 1 Height { pop MultipleDataSources { 0 1 DataSource length 1 sub { DataSource type dup /arraytype eq { pop DataSource exch get exec }{ /filetype eq { DataSource exch get imbuf readstring pop }{ DataSource exch get } ifelse } ifelse AGMUTIL_imagefile exch writestring } for }{ DataSource type dup /arraytype eq { pop DataSource exec }{ /filetype eq { DataSource imbuf readstring pop }{ DataSource } ifelse } ifelse AGMUTIL_imagefile exch writestring } ifelse }for end true }ifelse end } bdf /close_image_file { AGMUTIL_imagefile closefile (AGMUTIL_imagefile) deletefile }def statusdict /product known userdict /AGMP_current_show known not and{ /pstr statusdict /product get def pstr (HP LaserJet 2200) eq pstr (HP LaserJet 4000 Series) eq or pstr (HP LaserJet 4050 Series ) eq or pstr (HP LaserJet 8000 Series) eq or pstr (HP LaserJet 8100 Series) eq or pstr (HP LaserJet 8150 Series) eq or pstr (HP LaserJet 5000 Series) eq or pstr (HP LaserJet 5100 Series) eq or pstr (HP Color LaserJet 4500) eq or pstr (HP Color LaserJet 4600) eq or pstr (HP LaserJet 5Si) eq or pstr (HP LaserJet 1200 Series) eq or pstr (HP LaserJet 1300 Series) eq or pstr (HP LaserJet 4100 Series) eq or { userdict /AGMP_current_show /show load put userdict /show { currentcolorspace 0 get /Pattern eq {false charpath f} {AGMP_current_show} ifelse } put }if currentdict /pstr undef } if /consumeimagedata { begin currentdict /MultipleDataSources known not {/MultipleDataSources false def} if MultipleDataSources { 1 dict begin /flushbuffer Width cvi string def 1 1 Height cvi { pop 0 1 DataSource length 1 sub { DataSource exch get dup type dup /filetype eq { exch flushbuffer readstring pop pop }if /arraytype eq { exec pop }if }for }for end } { /DataSource load type dup /filetype eq { 1 dict begin /flushbuffer Width Decode length 2 div mul cvi string def 1 1 Height { pop DataSource flushbuffer readstring pop pop} for end }if /arraytype eq { 1 1 Height { pop DataSource pop } for }if }ifelse end }bdf /addprocs { 2{/exec load}repeat 3 1 roll [ 5 1 roll ] bind cvx }def /modify_halftone_xfer { currenthalftone dup length dict copy begin currentdict 2 index known{ 1 index load dup length dict copy begin currentdict/TransferFunction known{ /TransferFunction load }{ currenttransfer }ifelse addprocs /TransferFunction xdf currentdict end def currentdict end sethalftone }{ currentdict/TransferFunction known{ /TransferFunction load }{ currenttransfer }ifelse addprocs /TransferFunction xdf currentdict end sethalftone pop }ifelse }def /clonearray { dup xcheck exch dup length array exch Adobe_AGM_Core/AGMCORE_tmp -1 ddf { Adobe_AGM_Core/AGMCORE_tmp AGMCORE_tmp 1 add ddf dup type /dicttype eq { AGMCORE_tmp exch clonedict Adobe_AGM_Core/AGMCORE_tmp 4 -1 roll ddf } if dup type /arraytype eq { AGMCORE_tmp exch clonearray Adobe_AGM_Core/AGMCORE_tmp 4 -1 roll ddf } if exch dup AGMCORE_tmp 4 -1 roll put }forall exch {cvx} if }bdf /clonedict { dup length dict begin { dup type /dicttype eq { clonedict } if dup type /arraytype eq { clonearray } if def }forall currentdict end }bdf /DeviceN_PS2 { /currentcolorspace AGMCORE_gget 0 get /DeviceN eq level3 not and } bdf /Indexed_DeviceN { /indexed_colorspace_dict AGMCORE_gget dup null ne { /CSD known }{ pop false } ifelse } bdf /DeviceN_NoneName { /Names where { pop false Names { (None) eq or } forall }{ false }ifelse } bdf /DeviceN_PS2_inRip_seps { /AGMCORE_in_rip_sep where { pop dup type dup /arraytype eq exch /packedarraytype eq or { dup 0 get /DeviceN eq level3 not and AGMCORE_in_rip_sep and { /currentcolorspace exch AGMCORE_gput false } { true }ifelse } { true } ifelse } { true } ifelse } bdf /base_colorspace_type { dup type /arraytype eq {0 get} if } bdf /doc_setup{ Adobe_AGM_Utils begin }bdf /doc_trailer{ currentdict Adobe_AGM_Utils eq{ end }if }bdf systemdict /setpacking known { setpacking } if %%EndResource %%BeginResource: procset Adobe_AGM_Core 2.0 0 %%Version: 2.0 0 %%Copyright: Copyright (C) 1997-2003 Adobe Systems, Inc. All Rights Reserved. systemdict /setpacking known { currentpacking true setpacking } if userdict /Adobe_AGM_Core 216 dict dup begin put /nd{ null def }bind def /Adobe_AGM_Core_Id /Adobe_AGM_Core_2.0_0 def /AGMCORE_str256 256 string def /AGMCORE_save nd /AGMCORE_graphicsave nd /AGMCORE_c 0 def /AGMCORE_m 0 def /AGMCORE_y 0 def /AGMCORE_k 0 def /AGMCORE_cmykbuf 4 array def /AGMCORE_screen [currentscreen] cvx def /AGMCORE_tmp 0 def /AGMCORE_&setgray nd /AGMCORE_&setcolor nd /AGMCORE_&setcolorspace nd /AGMCORE_&setcmykcolor nd /AGMCORE_cyan_plate nd /AGMCORE_magenta_plate nd /AGMCORE_yellow_plate nd /AGMCORE_black_plate nd /AGMCORE_plate_ndx nd /AGMCORE_get_ink_data nd /AGMCORE_is_cmyk_sep nd /AGMCORE_host_sep nd /AGMCORE_avoid_L2_sep_space nd /AGMCORE_distilling nd /AGMCORE_composite_job nd /AGMCORE_producing_seps nd /AGMCORE_ps_level -1 def /AGMCORE_ps_version -1 def /AGMCORE_environ_ok nd /AGMCORE_CSA_cache 0 dict def /AGMCORE_CSD_cache 0 dict def /AGMCORE_pattern_cache 0 dict def /AGMCORE_currentoverprint false def /AGMCORE_deltaX nd /AGMCORE_deltaY nd /AGMCORE_name nd /AGMCORE_sep_special nd /AGMCORE_err_strings 4 dict def /AGMCORE_cur_err nd /AGMCORE_ovp nd /AGMCORE_current_spot_alias false def /AGMCORE_inverting false def /AGMCORE_feature_dictCount nd /AGMCORE_feature_opCount nd /AGMCORE_feature_ctm nd /AGMCORE_ConvertToProcess false def /AGMCORE_Default_CTM matrix def /AGMCORE_Default_PageSize nd /AGMCORE_currentbg nd /AGMCORE_currentucr nd /AGMCORE_gradientcache 32 dict def /AGMCORE_in_pattern false def /knockout_unitsq nd /AGMCORE_CRD_cache where{ pop }{ /AGMCORE_CRD_cache 0 dict def }ifelse /AGMCORE_key_known { where{ /Adobe_AGM_Core_Id known }{ false }ifelse }ndf /flushinput { save 2 dict begin /CompareBuffer 3 -1 roll def /readbuffer 256 string def mark { currentfile readbuffer {readline} stopped {cleartomark mark} { not {pop exit} if CompareBuffer eq {exit} if }ifelse }loop cleartomark end restore }bdf /getspotfunction { AGMCORE_screen exch pop exch pop dup type /dicttype eq{ dup /HalftoneType get 1 eq{ /SpotFunction get }{ dup /HalftoneType get 2 eq{ /GraySpotFunction get }{ pop { abs exch abs 2 copy add 1 gt{ 1 sub dup mul exch 1 sub dup mul add 1 sub }{ dup mul exch dup mul add 1 exch sub }ifelse }bind }ifelse }ifelse }if } def /clp_npth { clip newpath } def /eoclp_npth { eoclip newpath } def /npth_clp { newpath clip } def /add_grad { AGMCORE_gradientcache 3 1 roll put }bdf /exec_grad { AGMCORE_gradientcache exch get exec }bdf /graphic_setup { /AGMCORE_graphicsave save def concat 0 setgray 0 setlinecap 0 setlinejoin 1 setlinewidth [] 0 setdash 10 setmiterlimit newpath false setoverprint false setstrokeadjust Adobe_AGM_Core/spot_alias get exec /Adobe_AGM_Image where { pop Adobe_AGM_Image/spot_alias 2 copy known{ get exec }{ pop pop }ifelse } if 100 dict begin /dictstackcount countdictstack def /showpage {} def mark } def /graphic_cleanup { cleartomark dictstackcount 1 countdictstack 1 sub {end}for end AGMCORE_graphicsave restore } def /compose_error_msg { grestoreall initgraphics /Helvetica findfont 10 scalefont setfont /AGMCORE_deltaY 100 def /AGMCORE_deltaX 310 def clippath pathbbox newpath pop pop 36 add exch 36 add exch moveto 0 AGMCORE_deltaY rlineto AGMCORE_deltaX 0 rlineto 0 AGMCORE_deltaY neg rlineto AGMCORE_deltaX neg 0 rlineto closepath 0 AGMCORE_&setgray gsave 1 AGMCORE_&setgray fill grestore 1 setlinewidth gsave stroke grestore currentpoint AGMCORE_deltaY 15 sub add exch 8 add exch moveto /AGMCORE_deltaY 12 def /AGMCORE_tmp 0 def AGMCORE_err_strings exch get { dup 32 eq { pop AGMCORE_str256 0 AGMCORE_tmp getinterval stringwidth pop currentpoint pop add AGMCORE_deltaX 28 add gt { currentpoint AGMCORE_deltaY sub exch pop clippath pathbbox pop pop pop 44 add exch moveto } if AGMCORE_str256 0 AGMCORE_tmp getinterval show ( ) show 0 1 AGMCORE_str256 length 1 sub { AGMCORE_str256 exch 0 put }for /AGMCORE_tmp 0 def } { AGMCORE_str256 exch AGMCORE_tmp xpt /AGMCORE_tmp AGMCORE_tmp 1 add def } ifelse } forall } bdf /doc_setup{ Adobe_AGM_Core begin /AGMCORE_ps_version xdf /AGMCORE_ps_level xdf errordict /AGM_handleerror known not{ errordict /AGM_handleerror errordict /handleerror get put errordict /handleerror { Adobe_AGM_Core begin $error /newerror get AGMCORE_cur_err null ne and{ $error /newerror false put AGMCORE_cur_err compose_error_msg }if $error /newerror true put end errordict /AGM_handleerror get exec } bind put }if /AGMCORE_environ_ok ps_level AGMCORE_ps_level ge ps_version AGMCORE_ps_version ge and AGMCORE_ps_level -1 eq or def AGMCORE_environ_ok not {/AGMCORE_cur_err /AGMCORE_bad_environ def} if /AGMCORE_&setgray systemdict/setgray get def level2{ /AGMCORE_&setcolor systemdict/setcolor get def /AGMCORE_&setcolorspace systemdict/setcolorspace get def }if /AGMCORE_currentbg currentblackgeneration def /AGMCORE_currentucr currentundercolorremoval def /AGMCORE_distilling /product where{ pop systemdict/setdistillerparams known product (Adobe PostScript Parser) ne and }{ false }ifelse def level2 not{ /xput{ dup load dup length exch maxlength eq{ dup dup load dup length dup 0 eq {pop 1} if 2 mul dict copy def }if load begin def end }def }{ /xput{ load 3 1 roll put }def }ifelse /AGMCORE_GSTATE AGMCORE_key_known not{ /AGMCORE_GSTATE 21 dict def /AGMCORE_tmpmatrix matrix def /AGMCORE_gstack 32 array def /AGMCORE_gstackptr 0 def /AGMCORE_gstacksaveptr 0 def /AGMCORE_gstackframekeys 10 def /AGMCORE_&gsave /gsave ldf /AGMCORE_&grestore /grestore ldf /AGMCORE_&grestoreall /grestoreall ldf /AGMCORE_&save /save ldf /AGMCORE_gdictcopy { begin { def } forall end }def /AGMCORE_gput { AGMCORE_gstack AGMCORE_gstackptr get 3 1 roll put }def /AGMCORE_gget { AGMCORE_gstack AGMCORE_gstackptr get exch get }def /gsave { AGMCORE_&gsave AGMCORE_gstack AGMCORE_gstackptr get AGMCORE_gstackptr 1 add dup 32 ge {limitcheck} if Adobe_AGM_Core exch /AGMCORE_gstackptr xpt AGMCORE_gstack AGMCORE_gstackptr get AGMCORE_gdictcopy }def /grestore { AGMCORE_&grestore AGMCORE_gstackptr 1 sub dup AGMCORE_gstacksaveptr lt {1 add} if Adobe_AGM_Core exch /AGMCORE_gstackptr xpt }def /grestoreall { AGMCORE_&grestoreall Adobe_AGM_Core /AGMCORE_gstackptr AGMCORE_gstacksaveptr put }def /save { AGMCORE_&save AGMCORE_gstack AGMCORE_gstackptr get AGMCORE_gstackptr 1 add dup 32 ge {limitcheck} if Adobe_AGM_Core begin /AGMCORE_gstackptr exch def /AGMCORE_gstacksaveptr AGMCORE_gstackptr def end AGMCORE_gstack AGMCORE_gstackptr get AGMCORE_gdictcopy }def 0 1 AGMCORE_gstack length 1 sub { AGMCORE_gstack exch AGMCORE_gstackframekeys dict put } for }if level3 /AGMCORE_&sysshfill AGMCORE_key_known not and { /AGMCORE_&sysshfill systemdict/shfill get def /AGMCORE_&usrshfill /shfill load def /AGMCORE_&sysmakepattern systemdict/makepattern get def /AGMCORE_&usrmakepattern /makepattern load def }if /currentcmykcolor [0 0 0 0] AGMCORE_gput /currentstrokeadjust false AGMCORE_gput /currentcolorspace [/DeviceGray] AGMCORE_gput /sep_tint 0 AGMCORE_gput /devicen_tints [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] AGMCORE_gput /sep_colorspace_dict null AGMCORE_gput /devicen_colorspace_dict null AGMCORE_gput /indexed_colorspace_dict null AGMCORE_gput /currentcolor_intent () AGMCORE_gput /customcolor_tint 1 AGMCORE_gput << /MaxPatternItem currentsystemparams /MaxPatternCache get >> setuserparams end }def /page_setup { /setcmykcolor where{ pop Adobe_AGM_Core/AGMCORE_&setcmykcolor /setcmykcolor load put }if Adobe_AGM_Core begin /setcmykcolor { 4 copy AGMCORE_cmykbuf astore /currentcmykcolor exch AGMCORE_gput 1 sub 4 1 roll 3 { 3 index add neg dup 0 lt { pop 0 } if 3 1 roll } repeat setrgbcolor pop }ndf /currentcmykcolor { /currentcmykcolor AGMCORE_gget aload pop }ndf /setoverprint { pop }ndf /currentoverprint { false }ndf /AGMCORE_deviceDPI 72 0 matrix defaultmatrix dtransform dup mul exch dup mul add sqrt def /AGMCORE_cyan_plate 1 0 0 0 test_cmyk_color_plate def /AGMCORE_magenta_plate 0 1 0 0 test_cmyk_color_plate def /AGMCORE_yellow_plate 0 0 1 0 test_cmyk_color_plate def /AGMCORE_black_plate 0 0 0 1 test_cmyk_color_plate def /AGMCORE_plate_ndx AGMCORE_cyan_plate{ 0 }{ AGMCORE_magenta_plate{ 1 }{ AGMCORE_yellow_plate{ 2 }{ AGMCORE_black_plate{ 3 }{ 4 }ifelse }ifelse }ifelse }ifelse def /AGMCORE_have_reported_unsupported_color_space false def /AGMCORE_report_unsupported_color_space { AGMCORE_have_reported_unsupported_color_space false eq { (Warning: Job contains content that cannot be separated with on-host methods. This content appears on the black plate, and knocks out all other plates.) == Adobe_AGM_Core /AGMCORE_have_reported_unsupported_color_space true ddf } if }def /AGMCORE_composite_job AGMCORE_cyan_plate AGMCORE_magenta_plate and AGMCORE_yellow_plate and AGMCORE_black_plate and def /AGMCORE_in_rip_sep /AGMCORE_in_rip_sep where{ pop AGMCORE_in_rip_sep }{ AGMCORE_distilling { false }{ userdict/Adobe_AGM_OnHost_Seps known{ false }{ level2{ currentpagedevice/Separations 2 copy known{ get }{ pop pop false }ifelse }{ false }ifelse }ifelse }ifelse }ifelse def /AGMCORE_producing_seps AGMCORE_composite_job not AGMCORE_in_rip_sep or def /AGMCORE_host_sep AGMCORE_producing_seps AGMCORE_in_rip_sep not and def /AGM_preserve_spots /AGM_preserve_spots where{ pop AGM_preserve_spots }{ AGMCORE_distilling AGMCORE_producing_seps or }ifelse def /AGM_is_distiller_preserving_spotimages { currentdistillerparams/PreserveOverprintSettings known { currentdistillerparams/PreserveOverprintSettings get { currentdistillerparams/ColorConversionStrategy known { currentdistillerparams/ColorConversionStrategy get /LeaveColorUnchanged eq }{ true }ifelse }{ false }ifelse }{ false }ifelse }def /convert_spot_to_process where {pop}{ /convert_spot_to_process { dup map_alias { /Name get exch pop } if dup dup (None) eq exch (All) eq or { pop false }{ AGMCORE_host_sep { gsave 1 0 0 0 setcmykcolor currentgray 1 exch sub 0 1 0 0 setcmykcolor currentgray 1 exch sub 0 0 1 0 setcmykcolor currentgray 1 exch sub 0 0 0 1 setcmykcolor currentgray 1 exch sub add add add 0 eq { pop false }{ false setoverprint 1 1 1 1 5 -1 roll findcmykcustomcolor 1 setcustomcolor currentgray 0 eq }ifelse grestore }{ AGMCORE_distilling { pop AGM_is_distiller_preserving_spotimages not }{ Adobe_AGM_Core/AGMCORE_name xddf false Adobe_AGM_Core/AGMCORE_in_pattern known {Adobe_AGM_Core/AGMCORE_in_pattern get}{false} ifelse not currentpagedevice/OverrideSeparations known and { currentpagedevice/OverrideSeparations get { /HqnSpots /ProcSet resourcestatus { pop pop pop true }if }if }if { AGMCORE_name /HqnSpots /ProcSet findresource /TestSpot get exec not }{ gsave [/Separation AGMCORE_name /DeviceGray {}]setcolorspace false currentpagedevice/SeparationColorNames 2 copy known { get { AGMCORE_name eq or}forall not }{ pop pop pop true }ifelse grestore }ifelse }ifelse }ifelse }ifelse }def }ifelse /convert_to_process where {pop}{ /convert_to_process { dup length 0 eq { pop false }{ AGMCORE_host_sep { dup true exch { dup (Cyan) eq exch dup (Magenta) eq 3 -1 roll or exch dup (Yellow) eq 3 -1 roll or exch dup (Black) eq 3 -1 roll or {pop} {convert_spot_to_process and}ifelse } forall { true exch { dup (Cyan) eq exch dup (Magenta) eq 3 -1 roll or exch dup (Yellow) eq 3 -1 roll or exch (Black) eq or and }forall not }{pop false}ifelse }{ false exch { dup (Cyan) eq exch dup (Magenta) eq 3 -1 roll or exch dup (Yellow) eq 3 -1 roll or exch dup (Black) eq 3 -1 roll or {pop} {convert_spot_to_process or}ifelse } forall }ifelse }ifelse }def }ifelse /AGMCORE_avoid_L2_sep_space version cvr 2012 lt level2 and AGMCORE_producing_seps not and def /AGMCORE_is_cmyk_sep AGMCORE_cyan_plate AGMCORE_magenta_plate or AGMCORE_yellow_plate or AGMCORE_black_plate or def /AGM_avoid_0_cmyk where{ pop AGM_avoid_0_cmyk }{ AGM_preserve_spots userdict/Adobe_AGM_OnHost_Seps known userdict/Adobe_AGM_InRip_Seps known or not and }ifelse { /setcmykcolor[ { 4 copy add add add 0 eq currentoverprint and{ pop 0.0005 }if }/exec cvx /AGMCORE_&setcmykcolor load dup type/operatortype ne{ /exec cvx }if ]cvx def }if AGMCORE_host_sep{ /setcolortransfer { AGMCORE_cyan_plate{ pop pop pop }{ AGMCORE_magenta_plate{ 4 3 roll pop pop pop }{ AGMCORE_yellow_plate{ 4 2 roll pop pop pop }{ 4 1 roll pop pop pop }ifelse }ifelse }ifelse settransfer } def /AGMCORE_get_ink_data AGMCORE_cyan_plate{ {pop pop pop} }{ AGMCORE_magenta_plate{ {4 3 roll pop pop pop} }{ AGMCORE_yellow_plate{ {4 2 roll pop pop pop} }{ {4 1 roll pop pop pop} }ifelse }ifelse }ifelse def /AGMCORE_RemoveProcessColorNames { 1 dict begin /filtername { dup /Cyan eq 1 index (Cyan) eq or {pop (_cyan_)}if dup /Magenta eq 1 index (Magenta) eq or {pop (_magenta_)}if dup /Yellow eq 1 index (Yellow) eq or {pop (_yellow_)}if dup /Black eq 1 index (Black) eq or {pop (_black_)}if }def dup type /arraytype eq {[exch {filtername}forall]} {filtername}ifelse end }def /AGMCORE_IsSeparationAProcessColor { dup (Cyan) eq exch dup (Magenta) eq exch dup (Yellow) eq exch (Black) eq or or or }def level3 { /AGMCORE_IsCurrentColor { gsave false setoverprint 1 1 1 1 5 -1 roll findcmykcustomcolor 1 setcustomcolor currentgray 0 eq grestore }def /AGMCORE_filter_functiondatasource { 5 dict begin /data_in xdf data_in type /stringtype eq { /ncomp xdf /comp xdf /string_out data_in length ncomp idiv string def 0 ncomp data_in length 1 sub { string_out exch dup ncomp idiv exch data_in exch ncomp getinterval comp get 255 exch sub put }for string_out }{ string /string_in xdf /string_out 1 string def /component xdf [ data_in string_in /readstring cvx [component /get cvx 255 /exch cvx /sub cvx string_out /exch cvx 0 /exch cvx /put cvx string_out]cvx [/pop cvx ()]cvx /ifelse cvx ]cvx /ReusableStreamDecode filter }ifelse end }def /AGMCORE_separateShadingFunction { 2 dict begin /paint? xdf /channel xdf begin FunctionType 0 eq { /DataSource channel Range length 2 idiv DataSource AGMCORE_filter_functiondatasource def currentdict /Decode known {/Decode Decode channel 2 mul 2 getinterval def}if paint? not {/Decode [1 1]def}if }if FunctionType 2 eq { paint? { /C0 [C0 channel get 1 exch sub] def /C1 [C1 channel get 1 exch sub] def }{ /C0 [1] def /C1 [1] def }ifelse }if FunctionType 3 eq { /Functions [Functions {channel paint? AGMCORE_separateShadingFunction} forall] def }if currentdict /Range known {/Range [0 1] def}if currentdict end end }def /AGMCORE_separateShading { 3 -1 roll begin currentdict /Function known { currentdict /Background known {[1 index{Background 3 index get 1 exch sub}{1}ifelse]/Background xdf}if Function 3 1 roll AGMCORE_separateShadingFunction /Function xdf /ColorSpace [/DeviceGray] def }{ ColorSpace dup type /arraytype eq {0 get}if /DeviceCMYK eq { /ColorSpace [/DeviceN [/_cyan_ /_magenta_ /_yellow_ /_black_] /DeviceCMYK {}] def }{ ColorSpace dup 1 get AGMCORE_RemoveProcessColorNames 1 exch put }ifelse ColorSpace 0 get /Separation eq { { [1 /exch cvx /sub cvx]cvx }{ [/pop cvx 1]cvx }ifelse ColorSpace 3 3 -1 roll put pop }{ { [exch ColorSpace 1 get length 1 sub exch sub /index cvx 1 /exch cvx /sub cvx ColorSpace 1 get length 1 add 1 /roll cvx ColorSpace 1 get length{/pop cvx} repeat]cvx }{ pop [ColorSpace 1 get length {/pop cvx} repeat cvx 1]cvx }ifelse ColorSpace 3 3 -1 roll bind put }ifelse ColorSpace 2 /DeviceGray put }ifelse end }def /AGMCORE_separateShadingDict { dup /ColorSpace get dup type /arraytype ne {[exch]}if dup 0 get /DeviceCMYK eq { exch begin currentdict AGMCORE_cyan_plate {0 true}if AGMCORE_magenta_plate {1 true}if AGMCORE_yellow_plate {2 true}if AGMCORE_black_plate {3 true}if AGMCORE_plate_ndx 4 eq {0 false}if dup not currentoverprint and {/AGMCORE_ignoreshade true def}if AGMCORE_separateShading currentdict end exch }if dup 0 get /Separation eq { exch begin ColorSpace 1 get dup /None ne exch /All ne and { ColorSpace 1 get AGMCORE_IsCurrentColor AGMCORE_plate_ndx 4 lt and ColorSpace 1 get AGMCORE_IsSeparationAProcessColor not and { ColorSpace 2 get dup type /arraytype eq {0 get}if /DeviceCMYK eq { /ColorSpace [ /Separation ColorSpace 1 get /DeviceGray [ ColorSpace 3 get /exec cvx 4 AGMCORE_plate_ndx sub -1 /roll cvx 4 1 /roll cvx 3 [/pop cvx]cvx /repeat cvx 1 /exch cvx /sub cvx ]cvx ]def }{ AGMCORE_report_unsupported_color_space AGMCORE_black_plate not { currentdict 0 false AGMCORE_separateShading }if }ifelse }{ currentdict ColorSpace 1 get AGMCORE_IsCurrentColor 0 exch dup not currentoverprint and {/AGMCORE_ignoreshade true def}if AGMCORE_separateShading }ifelse }if currentdict end exch }if dup 0 get /DeviceN eq { exch begin ColorSpace 1 get convert_to_process { ColorSpace 2 get dup type /arraytype eq {0 get}if /DeviceCMYK eq { /ColorSpace [ /DeviceN ColorSpace 1 get /DeviceGray [ ColorSpace 3 get /exec cvx 4 AGMCORE_plate_ndx sub -1 /roll cvx 4 1 /roll cvx 3 [/pop cvx]cvx /repeat cvx 1 /exch cvx /sub cvx ]cvx ]def }{ AGMCORE_report_unsupported_color_space AGMCORE_black_plate not { currentdict 0 false AGMCORE_separateShading /ColorSpace [/DeviceGray] def }if }ifelse }{ currentdict false -1 ColorSpace 1 get { AGMCORE_IsCurrentColor { 1 add exch pop true exch exit }if 1 add }forall exch dup not currentoverprint and {/AGMCORE_ignoreshade true def}if AGMCORE_separateShading }ifelse currentdict end exch }if dup 0 get dup /DeviceCMYK eq exch dup /Separation eq exch /DeviceN eq or or not { exch begin ColorSpace dup type /arraytype eq {0 get}if /DeviceGray ne { AGMCORE_report_unsupported_color_space AGMCORE_black_plate not { ColorSpace 0 get /CIEBasedA eq { /ColorSpace [/Separation /_ciebaseda_ /DeviceGray {}] def }if ColorSpace 0 get dup /CIEBasedABC eq exch dup /CIEBasedDEF eq exch /DeviceRGB eq or or { /ColorSpace [/DeviceN [/_red_ /_green_ /_blue_] /DeviceRGB {}] def }if ColorSpace 0 get /CIEBasedDEFG eq { /ColorSpace [/DeviceN [/_cyan_ /_magenta_ /_yellow_ /_black_] /DeviceCMYK {}] }if currentdict 0 false AGMCORE_separateShading }if }if currentdict end exch }if pop dup /AGMCORE_ignoreshade known { begin /ColorSpace [/Separation (None) /DeviceGray {}] def currentdict end }if }def /shfill { clonedict AGMCORE_separateShadingDict dup /AGMCORE_ignoreshade known {pop} {AGMCORE_&sysshfill}ifelse }def /makepattern { exch dup /PatternType get 2 eq { clonedict begin /Shading Shading AGMCORE_separateShadingDict def currentdict end exch AGMCORE_&sysmakepattern }{ exch AGMCORE_&usrmakepattern }ifelse }def }if }if AGMCORE_in_rip_sep{ /setcustomcolor { exch aload pop dup 7 1 roll inRip_spot_has_ink not { 4 {4 index mul 4 1 roll} repeat /DeviceCMYK setcolorspace 6 -2 roll pop pop }{ Adobe_AGM_Core begin /AGMCORE_k xdf /AGMCORE_y xdf /AGMCORE_m xdf /AGMCORE_c xdf end [/Separation 4 -1 roll /DeviceCMYK {dup AGMCORE_c mul exch dup AGMCORE_m mul exch dup AGMCORE_y mul exch AGMCORE_k mul} ] setcolorspace }ifelse setcolor }ndf /setseparationgray { [/Separation (All) /DeviceGray {}] setcolorspace_opt 1 exch sub setcolor }ndf }{ /setseparationgray { AGMCORE_&setgray }ndf }ifelse /findcmykcustomcolor { 5 makereadonlyarray }ndf /setcustomcolor { exch aload pop pop 4 {4 index mul 4 1 roll} repeat setcmykcolor pop }ndf /has_color /colorimage where{ AGMCORE_producing_seps{ pop true }{ systemdict eq }ifelse }{ false }ifelse def /map_index { 1 index mul exch getinterval {255 div} forall } bdf /map_indexed_devn { Lookup Names length 3 -1 roll cvi map_index } bdf /n_color_components { base_colorspace_type dup /DeviceGray eq{ pop 1 }{ /DeviceCMYK eq{ 4 }{ 3 }ifelse }ifelse }bdf level2{ /mo /moveto ldf /li /lineto ldf /cv /curveto ldf /knockout_unitsq { 1 setgray 0 0 1 1 rectfill }def /level2ScreenFreq{ begin 60 HalftoneType 1 eq{ pop Frequency }if HalftoneType 2 eq{ pop GrayFrequency }if HalftoneType 5 eq{ pop Default level2ScreenFreq }if end }def /currentScreenFreq{ currenthalftone level2ScreenFreq }def level2 /setcolorspace AGMCORE_key_known not and{ /AGMCORE_&&&setcolorspace /setcolorspace ldf /AGMCORE_ReplaceMappedColor { dup type dup /arraytype eq exch /packedarraytype eq or { dup 0 get dup /Separation eq { pop dup length array copy dup dup 1 get current_spot_alias { dup map_alias { begin /sep_colorspace_dict currentdict AGMCORE_gput pop pop pop [ /Separation Name CSA map_csa dup /MappedCSA xdf /sep_colorspace_proc load ] dup Name end }if }if map_reserved_ink_name 1 xpt }{ /DeviceN eq { dup length array copy dup dup 1 get [ exch { current_spot_alias{ dup map_alias{ /Name get exch pop }if }if map_reserved_ink_name } forall ] 1 xpt }if }ifelse }if }def /setcolorspace { dup type dup /arraytype eq exch /packedarraytype eq or { dup 0 get /Indexed eq { AGMCORE_distilling { /PhotoshopDuotoneList where { pop false }{ true }ifelse }{ true }ifelse { aload pop 3 -1 roll AGMCORE_ReplaceMappedColor 3 1 roll 4 array astore }if }{ AGMCORE_ReplaceMappedColor }ifelse }if DeviceN_PS2_inRip_seps {AGMCORE_&&&setcolorspace} if }def }if }{ /adj { currentstrokeadjust{ transform 0.25 sub round 0.25 add exch 0.25 sub round 0.25 add exch itransform }if }def /mo{ adj moveto }def /li{ adj lineto }def /cv{ 6 2 roll adj 6 2 roll adj 6 2 roll adj curveto }def /knockout_unitsq { 1 setgray 8 8 1 [8 0 0 8 0 0] {} image }def /currentstrokeadjust{ /currentstrokeadjust AGMCORE_gget }def /setstrokeadjust{ /currentstrokeadjust exch AGMCORE_gput }def /currentScreenFreq{ currentscreen pop pop }def /setcolorspace { /currentcolorspace exch AGMCORE_gput } def /currentcolorspace { /currentcolorspace AGMCORE_gget } def /setcolor_devicecolor { base_colorspace_type dup /DeviceGray eq{ pop setgray }{ /DeviceCMYK eq{ setcmykcolor }{ setrgbcolor }ifelse }ifelse }def /setcolor { currentcolorspace 0 get dup /DeviceGray ne{ dup /DeviceCMYK ne{ dup /DeviceRGB ne{ dup /Separation eq{ pop currentcolorspace 3 get exec currentcolorspace 2 get }{ dup /Indexed eq{ pop currentcolorspace 3 get dup type /stringtype eq{ currentcolorspace 1 get n_color_components 3 -1 roll map_index }{ exec }ifelse currentcolorspace 1 get }{ /AGMCORE_cur_err /AGMCORE_invalid_color_space def AGMCORE_invalid_color_space }ifelse }ifelse }if }if }if setcolor_devicecolor } def }ifelse /sop /setoverprint ldf /lw /setlinewidth ldf /lc /setlinecap ldf /lj /setlinejoin ldf /ml /setmiterlimit ldf /dsh /setdash ldf /sadj /setstrokeadjust ldf /gry /setgray ldf /rgb /setrgbcolor ldf /cmyk /setcmykcolor ldf /sep /setsepcolor ldf /devn /setdevicencolor ldf /idx /setindexedcolor ldf /colr /setcolor ldf /csacrd /set_csa_crd ldf /sepcs /setsepcolorspace ldf /devncs /setdevicencolorspace ldf /idxcs /setindexedcolorspace ldf /cp /closepath ldf /clp /clp_npth ldf /eclp /eoclp_npth ldf /f /fill ldf /ef /eofill ldf /@ /stroke ldf /nclp /npth_clp ldf /gset /graphic_setup ldf /gcln /graphic_cleanup ldf currentdict{ dup xcheck 1 index type dup /arraytype eq exch /packedarraytype eq or and { bind }if def }forall /currentpagedevice currentpagedevice def /getrampcolor { /indx exch def 0 1 NumComp 1 sub { dup Samples exch get dup type /stringtype eq { indx get } if exch Scaling exch get aload pop 3 1 roll mul add } for ColorSpaceFamily /Separation eq { sep } { ColorSpaceFamily /DeviceN eq { devn } { setcolor }ifelse }ifelse } bind def /sssetbackground { aload pop setcolor } bind def /RadialShade { 40 dict begin /ColorSpaceFamily exch def /background exch def /ext1 exch def /ext0 exch def /BBox exch def /r2 exch def /c2y exch def /c2x exch def /r1 exch def /c1y exch def /c1x exch def /rampdict exch def /setinkoverprint where {pop /setinkoverprint{pop}def}if gsave BBox length 0 gt { newpath BBox 0 get BBox 1 get moveto BBox 2 get BBox 0 get sub 0 rlineto 0 BBox 3 get BBox 1 get sub rlineto BBox 2 get BBox 0 get sub neg 0 rlineto closepath clip newpath } if c1x c2x eq { c1y c2y lt {/theta 90 def}{/theta 270 def} ifelse } { /slope c2y c1y sub c2x c1x sub div def /theta slope 1 atan def c2x c1x lt c2y c1y ge and { /theta theta 180 sub def} if c2x c1x lt c2y c1y lt and { /theta theta 180 add def} if } ifelse gsave clippath c1x c1y translate theta rotate -90 rotate { pathbbox } stopped { 0 0 0 0 } if /yMax exch def /xMax exch def /yMin exch def /xMin exch def grestore xMax xMin eq yMax yMin eq or { grestore end } { /max { 2 copy gt { pop } {exch pop} ifelse } bind def /min { 2 copy lt { pop } {exch pop} ifelse } bind def rampdict begin 40 dict begin background length 0 gt { background sssetbackground gsave clippath fill grestore } if gsave c1x c1y translate theta rotate -90 rotate /c2y c1x c2x sub dup mul c1y c2y sub dup mul add sqrt def /c1y 0 def /c1x 0 def /c2x 0 def ext0 { 0 getrampcolor c2y r2 add r1 sub 0.0001 lt { c1x c1y r1 360 0 arcn pathbbox /aymax exch def /axmax exch def /aymin exch def /axmin exch def /bxMin xMin axmin min def /byMin yMin aymin min def /bxMax xMax axmax max def /byMax yMax aymax max def bxMin byMin moveto bxMax byMin lineto bxMax byMax lineto bxMin byMax lineto bxMin byMin lineto eofill } { c2y r1 add r2 le { c1x c1y r1 0 360 arc fill } { c2x c2y r2 0 360 arc fill r1 r2 eq { /p1x r1 neg def /p1y c1y def /p2x r1 def /p2y c1y def p1x p1y moveto p2x p2y lineto p2x yMin lineto p1x yMin lineto fill } { /AA r2 r1 sub c2y div def /theta AA 1 AA dup mul sub sqrt div 1 atan def /SS1 90 theta add dup sin exch cos div def /p1x r1 SS1 SS1 mul SS1 SS1 mul 1 add div sqrt mul neg def /p1y p1x SS1 div neg def /SS2 90 theta sub dup sin exch cos div def /p2x r1 SS2 SS2 mul SS2 SS2 mul 1 add div sqrt mul def /p2y p2x SS2 div neg def r1 r2 gt { /L1maxX p1x yMin p1y sub SS1 div add def /L2maxX p2x yMin p2y sub SS2 div add def } { /L1maxX 0 def /L2maxX 0 def }ifelse p1x p1y moveto p2x p2y lineto L2maxX L2maxX p2x sub SS2 mul p2y add lineto L1maxX L1maxX p1x sub SS1 mul p1y add lineto fill } ifelse } ifelse } ifelse } if c1x c2x sub dup mul c1y c2y sub dup mul add 0.5 exp 0 dtransform dup mul exch dup mul add 0.5 exp 72 div 0 72 matrix defaultmatrix dtransform dup mul exch dup mul add sqrt 72 0 matrix defaultmatrix dtransform dup mul exch dup mul add sqrt 1 index 1 index lt { exch } if pop /hires exch def hires mul /numpix exch def /numsteps NumSamples def /rampIndxInc 1 def /subsampling false def numpix 0 ne { NumSamples numpix div 0.5 gt { /numsteps numpix 2 div round cvi dup 1 le { pop 2 } if def /rampIndxInc NumSamples 1 sub numsteps div def /subsampling true def } if } if /xInc c2x c1x sub numsteps div def /yInc c2y c1y sub numsteps div def /rInc r2 r1 sub numsteps div def /cx c1x def /cy c1y def /radius r1 def newpath xInc 0 eq yInc 0 eq rInc 0 eq and and { 0 getrampcolor cx cy radius 0 360 arc stroke NumSamples 1 sub getrampcolor cx cy radius 72 hires div add 0 360 arc 0 setlinewidth stroke } { 0 numsteps { dup subsampling { round cvi } if getrampcolor cx cy radius 0 360 arc /cx cx xInc add def /cy cy yInc add def /radius radius rInc add def cx cy radius 360 0 arcn eofill rampIndxInc add } repeat pop } ifelse ext1 { c2y r2 add r1 lt { c2x c2y r2 0 360 arc fill } { c2y r1 add r2 sub 0.0001 le { c2x c2y r2 360 0 arcn pathbbox /aymax exch def /axmax exch def /aymin exch def /axmin exch def /bxMin xMin axmin min def /byMin yMin aymin min def /bxMax xMax axmax max def /byMax yMax aymax max def bxMin byMin moveto bxMax byMin lineto bxMax byMax lineto bxMin byMax lineto bxMin byMin lineto eofill } { c2x c2y r2 0 360 arc fill r1 r2 eq { /p1x r2 neg def /p1y c2y def /p2x r2 def /p2y c2y def p1x p1y moveto p2x p2y lineto p2x yMax lineto p1x yMax lineto fill } { /AA r2 r1 sub c2y div def /theta AA 1 AA dup mul sub sqrt div 1 atan def /SS1 90 theta add dup sin exch cos div def /p1x r2 SS1 SS1 mul SS1 SS1 mul 1 add div sqrt mul neg def /p1y c2y p1x SS1 div sub def /SS2 90 theta sub dup sin exch cos div def /p2x r2 SS2 SS2 mul SS2 SS2 mul 1 add div sqrt mul def /p2y c2y p2x SS2 div sub def r1 r2 lt { /L1maxX p1x yMax p1y sub SS1 div add def /L2maxX p2x yMax p2y sub SS2 div add def } { /L1maxX 0 def /L2maxX 0 def }ifelse p1x p1y moveto p2x p2y lineto L2maxX L2maxX p2x sub SS2 mul p2y add lineto L1maxX L1maxX p1x sub SS1 mul p1y add lineto fill } ifelse } ifelse } ifelse } if grestore grestore end end end } ifelse } bind def /GenStrips { 40 dict begin /ColorSpaceFamily exch def /background exch def /ext1 exch def /ext0 exch def /BBox exch def /y2 exch def /x2 exch def /y1 exch def /x1 exch def /rampdict exch def /setinkoverprint where {pop /setinkoverprint{pop}def}if gsave BBox length 0 gt { newpath BBox 0 get BBox 1 get moveto BBox 2 get BBox 0 get sub 0 rlineto 0 BBox 3 get BBox 1 get sub rlineto BBox 2 get BBox 0 get sub neg 0 rlineto closepath clip newpath } if x1 x2 eq { y1 y2 lt {/theta 90 def}{/theta 270 def} ifelse } { /slope y2 y1 sub x2 x1 sub div def /theta slope 1 atan def x2 x1 lt y2 y1 ge and { /theta theta 180 sub def} if x2 x1 lt y2 y1 lt and { /theta theta 180 add def} if } ifelse gsave clippath x1 y1 translate theta rotate { pathbbox } stopped { 0 0 0 0 } if /yMax exch def /xMax exch def /yMin exch def /xMin exch def grestore xMax xMin eq yMax yMin eq or { grestore end } { rampdict begin 20 dict begin background length 0 gt { background sssetbackground gsave clippath fill grestore } if gsave x1 y1 translate theta rotate /xStart 0 def /xEnd x2 x1 sub dup mul y2 y1 sub dup mul add 0.5 exp def /ySpan yMax yMin sub def /numsteps NumSamples def /rampIndxInc 1 def /subsampling false def xStart 0 transform xEnd 0 transform 3 -1 roll sub dup mul 3 1 roll sub dup mul add 0.5 exp 72 div 0 72 matrix defaultmatrix dtransform dup mul exch dup mul add sqrt 72 0 matrix defaultmatrix dtransform dup mul exch dup mul add sqrt 1 index 1 index lt { exch } if pop mul /numpix exch def numpix 0 ne { NumSamples numpix div 0.5 gt { /numsteps numpix 2 div round cvi dup 1 le { pop 2 } if def /rampIndxInc NumSamples 1 sub numsteps div def /subsampling true def } if } if ext0 { 0 getrampcolor xMin xStart lt { xMin yMin xMin neg ySpan rectfill } if } if /xInc xEnd xStart sub numsteps div def /x xStart def 0 numsteps { dup subsampling { round cvi } if getrampcolor x yMin xInc ySpan rectfill /x x xInc add def rampIndxInc add } repeat pop ext1 { xMax xEnd gt { xEnd yMin xMax xEnd sub ySpan rectfill } if } if grestore grestore end end end } ifelse } bind def }def /page_trailer { end }def /doc_trailer{ }def systemdict /findcolorrendering known{ /findcolorrendering systemdict /findcolorrendering get def }if systemdict /setcolorrendering known{ /setcolorrendering systemdict /setcolorrendering get def }if /test_cmyk_color_plate { gsave setcmykcolor currentgray 1 ne grestore }def /inRip_spot_has_ink { dup Adobe_AGM_Core/AGMCORE_name xddf convert_spot_to_process not }def /map255_to_range { 1 index sub 3 -1 roll 255 div mul add }def /set_csa_crd { /sep_colorspace_dict null AGMCORE_gput begin CSA map_csa setcolorspace_opt set_crd end } def /setsepcolor { /sep_colorspace_dict AGMCORE_gget begin dup /sep_tint exch AGMCORE_gput TintProc end } def /setdevicencolor { /devicen_colorspace_dict AGMCORE_gget begin Names length copy Names length 1 sub -1 0 { /devicen_tints AGMCORE_gget 3 1 roll xpt } for TintProc end } def /sep_colorspace_proc { Adobe_AGM_Core/AGMCORE_tmp xddf /sep_colorspace_dict AGMCORE_gget begin currentdict/Components known{ Components aload pop TintMethod/Lab eq{ 2 {AGMCORE_tmp mul NComponents 1 roll} repeat LMax sub AGMCORE_tmp mul LMax add NComponents 1 roll }{ TintMethod/Subtractive eq{ NComponents{ AGMCORE_tmp mul NComponents 1 roll }repeat }{ NComponents{ 1 sub AGMCORE_tmp mul 1 add NComponents 1 roll } repeat }ifelse }ifelse }{ ColorLookup AGMCORE_tmp ColorLookup length 1 sub mul round cvi get aload pop }ifelse end } def /sep_colorspace_gray_proc { Adobe_AGM_Core/AGMCORE_tmp xddf /sep_colorspace_dict AGMCORE_gget begin GrayLookup AGMCORE_tmp GrayLookup length 1 sub mul round cvi get end } def /sep_proc_name { dup 0 get dup /DeviceRGB eq exch /DeviceCMYK eq or level2 not and has_color not and{ pop [/DeviceGray] /sep_colorspace_gray_proc }{ /sep_colorspace_proc }ifelse } def /setsepcolorspace { current_spot_alias{ dup begin Name map_alias{ exch pop }if end }if dup /sep_colorspace_dict exch AGMCORE_gput begin /MappedCSA CSA map_csa def Adobe_AGM_Core/AGMCORE_sep_special Name dup () eq exch (All) eq or ddf AGMCORE_avoid_L2_sep_space{ [/Indexed MappedCSA sep_proc_name 255 exch { 255 div } /exec cvx 3 -1 roll [ 4 1 roll load /exec cvx ] cvx ] setcolorspace_opt /TintProc { 255 mul round cvi setcolor }bdf }{ MappedCSA 0 get /DeviceCMYK eq currentdict/Components known and AGMCORE_sep_special not and{ /TintProc [ Components aload pop Name findcmykcustomcolor /exch cvx /setcustomcolor cvx ] cvx bdf }{ AGMCORE_host_sep Name (All) eq and{ /TintProc { 1 exch sub setseparationgray }bdf }{ AGMCORE_in_rip_sep MappedCSA 0 get /DeviceCMYK eq and AGMCORE_host_sep or Name () eq and{ /TintProc [ MappedCSA sep_proc_name exch 0 get /DeviceCMYK eq{ cvx /setcmykcolor cvx }{ cvx /setgray cvx }ifelse ] cvx bdf }{ AGMCORE_producing_seps MappedCSA 0 get dup /DeviceCMYK eq exch /DeviceGray eq or and AGMCORE_sep_special not and{ /TintProc [ /dup cvx MappedCSA sep_proc_name cvx exch 0 get /DeviceGray eq{ 1 /exch cvx /sub cvx 0 0 0 4 -1 /roll cvx }if /Name cvx /findcmykcustomcolor cvx /exch cvx AGMCORE_host_sep{ AGMCORE_is_cmyk_sep /Name cvx /AGMCORE_IsSeparationAProcessColor load /exec cvx /not cvx /and cvx }{ Name inRip_spot_has_ink not }ifelse [ /pop cvx 1 ] cvx /if cvx /setcustomcolor cvx ] cvx bdf }{ /TintProc /setcolor ldf [/Separation Name MappedCSA sep_proc_name load ] setcolorspace_opt }ifelse }ifelse }ifelse }ifelse }ifelse set_crd setsepcolor end } def /additive_blend { 3 dict begin /numarrays xdf /numcolors xdf 0 1 numcolors 1 sub { /c1 xdf 1 0 1 numarrays 1 sub { 1 exch add /index cvx c1 /get cvx /mul cvx }for numarrays 1 add 1 /roll cvx }for numarrays [/pop cvx] cvx /repeat cvx end }def /subtractive_blend { 3 dict begin /numarrays xdf /numcolors xdf 0 1 numcolors 1 sub { /c1 xdf 1 1 0 1 numarrays 1 sub { 1 3 3 -1 roll add /index cvx c1 /get cvx /sub cvx /mul cvx }for /sub cvx numarrays 1 add 1 /roll cvx }for numarrays [/pop cvx] cvx /repeat cvx end }def /exec_tint_transform { /TintProc [ /TintTransform cvx /setcolor cvx ] cvx bdf MappedCSA setcolorspace_opt } bdf /devn_makecustomcolor { 2 dict begin /names_index xdf /Names xdf 1 1 1 1 Names names_index get findcmykcustomcolor /devicen_tints AGMCORE_gget names_index get setcustomcolor Names length {pop} repeat end } bdf /setdevicencolorspace { dup /AliasedColorants known {false}{true}ifelse current_spot_alias and { 6 dict begin /names_index 0 def dup /names_len exch /Names get length def /new_names names_len array def /new_LookupTables names_len array def /alias_cnt 0 def dup /Names get { dup map_alias { exch pop dup /ColorLookup known { dup begin new_LookupTables names_index ColorLookup put end }{ dup /Components known { dup begin new_LookupTables names_index Components put end }{ dup begin new_LookupTables names_index [null null null null] put end } ifelse } ifelse new_names names_index 3 -1 roll /Name get put /alias_cnt alias_cnt 1 add def }{ /name xdf new_names names_index name put dup /LookupTables known { dup begin new_LookupTables names_index LookupTables names_index get put end }{ dup begin new_LookupTables names_index [null null null null] put end } ifelse } ifelse /names_index names_index 1 add def } forall alias_cnt 0 gt { /AliasedColorants true def 0 1 names_len 1 sub { /names_index xdf new_LookupTables names_index get 0 get null eq { dup /Names get names_index get /name xdf name (Cyan) eq name (Magenta) eq name (Yellow) eq name (Black) eq or or or not { /AliasedColorants false def exit } if } if } for AliasedColorants { dup begin /Names new_names def /AliasedColorants true def /LookupTables new_LookupTables def currentdict /TTTablesIdx known not { /TTTablesIdx -1 def } if currentdict /NComponents known not { /NComponents TintMethod /Subtractive eq {4}{3}ifelse def } if end } if }if end } if dup /devicen_colorspace_dict exch AGMCORE_gput begin /MappedCSA CSA map_csa def currentdict /AliasedColorants known { AliasedColorants }{ false } ifelse /TintTransform load type /nulltype eq or { /TintTransform [ 0 1 Names length 1 sub { /TTTablesIdx TTTablesIdx 1 add def dup LookupTables exch get dup 0 get null eq { 1 index Names exch get dup (Cyan) eq { pop exch LookupTables length exch sub /index cvx 0 0 0 } { dup (Magenta) eq { pop exch LookupTables length exch sub /index cvx 0 /exch cvx 0 0 } { (Yellow) eq { exch LookupTables length exch sub /index cvx 0 0 3 -1 /roll cvx 0 } { exch LookupTables length exch sub /index cvx 0 0 0 4 -1 /roll cvx } ifelse } ifelse } ifelse 5 -1 /roll cvx /astore cvx } { dup length 1 sub LookupTables length 4 -1 roll sub 1 add /index cvx /mul cvx /round cvx /cvi cvx /get cvx } ifelse Names length TTTablesIdx add 1 add 1 /roll cvx } for Names length [/pop cvx] cvx /repeat cvx NComponents Names length TintMethod /Subtractive eq { subtractive_blend } { additive_blend } ifelse ] cvx bdf } if AGMCORE_host_sep { Names convert_to_process { exec_tint_transform } { currentdict /AliasedColorants known { AliasedColorants not }{ false } ifelse 5 dict begin /AvoidAliasedColorants xdf /painted? false def /names_index 0 def /names_len Names length def Names { AvoidAliasedColorants { /currentspotalias current_spot_alias def false set_spot_alias } if AGMCORE_is_cmyk_sep { dup (Cyan) eq AGMCORE_cyan_plate and exch dup (Magenta) eq AGMCORE_magenta_plate and exch dup (Yellow) eq AGMCORE_yellow_plate and exch (Black) eq AGMCORE_black_plate and or or or { /devicen_colorspace_dict AGMCORE_gget /TintProc [ Names names_index /devn_makecustomcolor cvx ] cvx ddf /painted? true def } if painted? {exit} if }{ 0 0 0 0 5 -1 roll findcmykcustomcolor 1 setcustomcolor currentgray 0 eq { /devicen_colorspace_dict AGMCORE_gget /TintProc [ Names names_index /devn_makecustomcolor cvx ] cvx ddf /painted? true def exit } if } ifelse AvoidAliasedColorants { currentspotalias set_spot_alias } if /names_index names_index 1 add def } forall painted? { /devicen_colorspace_dict AGMCORE_gget /names_index names_index put }{ /devicen_colorspace_dict AGMCORE_gget /TintProc [ names_len [/pop cvx] cvx /repeat cvx 1 /setseparationgray cvx 0 0 0 0 () /findcmykcustomcolor cvx 0 /setcustomcolor cvx ] cvx ddf } ifelse end } ifelse } { AGMCORE_in_rip_sep { Names convert_to_process not }{ level3 } ifelse { [/DeviceN Names MappedCSA /TintTransform load] setcolorspace_opt /TintProc level3 not AGMCORE_in_rip_sep and { [ Names /length cvx [/pop cvx] cvx /repeat cvx ] cvx bdf }{ /setcolor ldf } ifelse }{ exec_tint_transform } ifelse } ifelse set_crd /AliasedColorants false def end } def /setindexedcolorspace { dup /indexed_colorspace_dict exch AGMCORE_gput begin currentdict /CSD known { CSD get_csd /Names known { CSD get_csd begin currentdict devncs AGMCORE_host_sep{ 4 dict begin /devnCompCnt Names length def /NewLookup HiVal 1 add string def 0 1 HiVal { /tableIndex xdf Lookup dup type /stringtype eq { devnCompCnt tableIndex map_index }{ exec } ifelse setdevicencolor currentgray tableIndex exch HiVal mul cvi NewLookup 3 1 roll put } for [/Indexed currentcolorspace HiVal NewLookup] setcolorspace_opt end }{ level3 { [/Indexed [/DeviceN Names MappedCSA /TintTransform load] HiVal Lookup] setcolorspace_opt }{ [/Indexed MappedCSA HiVal [ Lookup dup type /stringtype eq {/exch cvx CSD get_csd /Names get length dup /mul cvx exch /getinterval cvx {255 div} /forall cvx} {/exec cvx}ifelse /TintTransform load /exec cvx ]cvx ]setcolorspace_opt }ifelse } ifelse end }{ } ifelse set_crd } { /MappedCSA CSA map_csa def AGMCORE_host_sep level2 not and{ 0 0 0 0 setcmykcolor }{ [/Indexed MappedCSA level2 not has_color not and{ dup 0 get dup /DeviceRGB eq exch /DeviceCMYK eq or{ pop [/DeviceGray] }if HiVal GrayLookup }{ HiVal currentdict/RangeArray known{ { /indexed_colorspace_dict AGMCORE_gget begin Lookup exch dup HiVal gt{ pop HiVal }if NComponents mul NComponents getinterval {} forall NComponents 1 sub -1 0{ RangeArray exch 2 mul 2 getinterval aload pop map255_to_range NComponents 1 roll }for end } bind }{ Lookup }ifelse }ifelse ] setcolorspace_opt set_crd }ifelse }ifelse end }def /setindexedcolor { AGMCORE_host_sep { /indexed_colorspace_dict AGMCORE_gget dup /CSD known { begin CSD get_csd begin map_indexed_devn devn end end }{ AGMCORE_gget/Lookup get 4 3 -1 roll map_index pop setcmykcolor } ifelse }{ level3 not AGMCORE_in_rip_sep and /indexed_colorspace_dict AGMCORE_gget /CSD known and { /indexed_colorspace_dict AGMCORE_gget /CSD get get_csd begin map_indexed_devn devn end } { setcolor } ifelse }ifelse } def /ignoreimagedata { currentoverprint not{ gsave dup clonedict begin 1 setgray /Decode [0 1] def /DataSource def /MultipleDataSources false def /BitsPerComponent 8 def currentdict end systemdict /image get exec grestore }if consumeimagedata }def /add_csa { Adobe_AGM_Core begin /AGMCORE_CSA_cache xput end }def /get_csa_by_name { dup type dup /nametype eq exch /stringtype eq or{ Adobe_AGM_Core begin 1 dict begin /name xdf AGMCORE_CSA_cache { 0 get name eq { exit }{ pop } ifelse }forall end end }{ pop } ifelse }def /map_csa { dup type /nametype eq{ Adobe_AGM_Core/AGMCORE_CSA_cache get exch get }if }def /add_csd { Adobe_AGM_Core begin /AGMCORE_CSD_cache xput end }def /get_csd { dup type /nametype eq{ Adobe_AGM_Core/AGMCORE_CSD_cache get exch get }if }def /pattern_buf_init { /count get 0 0 put } def /pattern_buf_next { dup /count get dup 0 get dup 3 1 roll 1 add 0 xpt get } def /cachepattern_compress { 5 dict begin currentfile exch 0 exch /SubFileDecode filter /ReadFilter exch def /patarray 20 dict def /string_size 16000 def /readbuffer string_size string def currentglobal true setglobal patarray 1 array dup 0 1 put /count xpt setglobal /LZWFilter { exch dup length 0 eq { pop }{ patarray dup length 1 sub 3 -1 roll put } ifelse {string_size}{0}ifelse string } /LZWEncode filter def { ReadFilter readbuffer readstring exch LZWFilter exch writestring not {exit} if } loop LZWFilter closefile patarray end }def /cachepattern { 2 dict begin currentfile exch 0 exch /SubFileDecode filter /ReadFilter exch def /patarray 20 dict def currentglobal true setglobal patarray 1 array dup 0 1 put /count xpt setglobal { ReadFilter 16000 string readstring exch patarray dup length 1 sub 3 -1 roll put not {exit} if } loop patarray dup dup length 1 sub () put end }def /add_pattern { Adobe_AGM_Core begin /AGMCORE_pattern_cache xput end }def /get_pattern { dup type /nametype eq{ Adobe_AGM_Core/AGMCORE_pattern_cache get exch get dup wrap_paintproc }if }def /wrap_paintproc { statusdict /currentfilenameextend known{ begin /OldPaintProc /PaintProc load def /PaintProc { mark exch dup /OldPaintProc get stopped {closefile restore end} if cleartomark } def end } {pop} ifelse } def /make_pattern { dup matrix currentmatrix matrix concatmatrix 0 0 3 2 roll itransform exch 3 index /XStep get 1 index exch 2 copy div cvi mul sub sub exch 3 index /YStep get 1 index exch 2 copy div cvi mul sub sub matrix translate exch matrix concatmatrix 1 index begin BBox 0 get XStep div cvi XStep mul /xshift exch neg def BBox 1 get YStep div cvi YStep mul /yshift exch neg def BBox 0 get xshift add BBox 1 get yshift add BBox 2 get xshift add BBox 3 get yshift add 4 array astore /BBox exch def [ xshift yshift /translate load null /exec load ] dup 3 /PaintProc load put cvx /PaintProc exch def end gsave 0 setgray makepattern grestore }def /set_pattern { dup /PatternType get 1 eq{ dup /PaintType get 1 eq{ currentoverprint sop [/DeviceGray] setcolorspace 0 setgray }if }if setpattern }def /setcolorspace_opt { dup currentcolorspace eq{ pop }{ setcolorspace }ifelse }def /updatecolorrendering { currentcolorrendering/Intent known{ currentcolorrendering/Intent get }{ null }ifelse Intent ne{ false Intent AGMCORE_CRD_cache { exch pop begin dup Intent eq{ currentdict setcolorrendering_opt end exch pop true exch exit }if end } forall pop not{ systemdict /findcolorrendering known{ Intent findcolorrendering pop /ColorRendering findresource dup length dict copy setcolorrendering_opt }if }if }if } def /add_crd { AGMCORE_CRD_cache 3 1 roll put }def /set_crd { AGMCORE_host_sep not level2 and{ currentdict/CRD known{ AGMCORE_CRD_cache CRD get dup null ne{ setcolorrendering_opt }{ pop }ifelse }{ currentdict/Intent known{ updatecolorrendering }if }ifelse currentcolorspace dup type /arraytype eq {0 get}if /DeviceRGB eq { currentdict/UCR known {/UCR}{/AGMCORE_currentucr}ifelse load setundercolorremoval currentdict/BG known {/BG}{/AGMCORE_currentbg}ifelse load setblackgeneration }if }if }def /setcolorrendering_opt { dup currentcolorrendering eq{ pop }{ begin /Intent Intent def currentdict end setcolorrendering }ifelse }def /cpaint_gcomp { convert_to_process Adobe_AGM_Core/AGMCORE_ConvertToProcess xddf Adobe_AGM_Core/AGMCORE_ConvertToProcess get not { (%end_cpaint_gcomp) flushinput }if }def /cpaint_gsep { Adobe_AGM_Core/AGMCORE_ConvertToProcess get { (%end_cpaint_gsep) flushinput }if }def /cpaint_gend { newpath }def /path_rez { dup 0 ne{ AGMCORE_deviceDPI exch div dup 1 lt{ pop 1 }if setflat }{ pop }ifelse }def /set_spot_alias_ary { /AGMCORE_SpotAliasAry where{ pop pop }{ Adobe_AGM_Core/AGMCORE_SpotAliasAry xddf true set_spot_alias }ifelse }def /set_spot_alias { /AGMCORE_SpotAliasAry where{ /AGMCORE_current_spot_alias 3 -1 roll put }{ pop }ifelse }def /current_spot_alias { /AGMCORE_SpotAliasAry where{ /AGMCORE_current_spot_alias get }{ false }ifelse }def /map_alias { /AGMCORE_SpotAliasAry where{ begin /AGMCORE_name xdf false AGMCORE_SpotAliasAry{ dup/Name get AGMCORE_name eq{ save exch /Adobe_AGM_Core currentdict def /CSD get get_csd exch restore exch pop true exit }{ pop }ifelse }forall end }{ pop false }ifelse }bdf /spot_alias { true set_spot_alias /AGMCORE_&setcustomcolor AGMCORE_key_known not { Adobe_AGM_Core/AGMCORE_&setcustomcolor /setcustomcolor load put } if /customcolor_tint 1 AGMCORE_gput Adobe_AGM_Core begin /setcustomcolor { dup /customcolor_tint exch AGMCORE_gput current_spot_alias{ 1 index 4 get map_alias{ mark 3 1 roll setsepcolorspace counttomark 0 ne{ setsepcolor }if pop pop }{ AGMCORE_&setcustomcolor }ifelse }{ AGMCORE_&setcustomcolor }ifelse }bdf end }def /begin_feature { Adobe_AGM_Core/AGMCORE_feature_dictCount countdictstack put count Adobe_AGM_Core/AGMCORE_feature_opCount 3 -1 roll put {Adobe_AGM_Core/AGMCORE_feature_ctm matrix currentmatrix put}if }def /end_feature { 2 dict begin /spd /setpagedevice load def /setpagedevice { get_gstate spd set_gstate } def stopped{$error/newerror false put}if end count Adobe_AGM_Core/AGMCORE_feature_opCount get sub dup 0 gt{{pop}repeat}{pop}ifelse countdictstack Adobe_AGM_Core/AGMCORE_feature_dictCount get sub dup 0 gt{{end}repeat}{pop}ifelse {Adobe_AGM_Core/AGMCORE_feature_ctm get setmatrix}if }def /set_negative { Adobe_AGM_Core begin /AGMCORE_inverting exch def level2{ currentpagedevice/NegativePrint known{ currentpagedevice/NegativePrint get Adobe_AGM_Core/AGMCORE_inverting get ne{ true begin_feature true{ bdict /NegativePrint Adobe_AGM_Core/AGMCORE_inverting get edict setpagedevice }end_feature }if /AGMCORE_inverting false def }if }if AGMCORE_inverting{ [{1 exch sub}/exec load dup currenttransfer exch]cvx bind settransfer gsave newpath clippath 1 /setseparationgray where{pop setseparationgray}{setgray}ifelse /AGMIRS_&fill where {pop AGMIRS_&fill}{fill} ifelse grestore }if end }def /lw_save_restore_override { /md where { pop md begin initializepage /initializepage{}def /pmSVsetup{} def /endp{}def /pse{}def /psb{}def /orig_showpage where {pop} {/orig_showpage /showpage load def} ifelse /showpage {orig_showpage gR} def end }if }def /pscript_showpage_override { /NTPSOct95 where { begin showpage save /showpage /restore load def /restore {exch pop}def end }if }def /driver_media_override { /md where { pop md /initializepage known { md /initializepage {} put } if md /rC known { md /rC {4{pop}repeat} put } if }if /mysetup where { /mysetup [1 0 0 1 0 0] put }if Adobe_AGM_Core /AGMCORE_Default_CTM matrix currentmatrix put level2 {Adobe_AGM_Core /AGMCORE_Default_PageSize currentpagedevice/PageSize get put}if }def /driver_check_media_override { /PrepsDict where {pop} { Adobe_AGM_Core /AGMCORE_Default_CTM get matrix currentmatrix ne Adobe_AGM_Core /AGMCORE_Default_PageSize get type /arraytype eq { Adobe_AGM_Core /AGMCORE_Default_PageSize get 0 get currentpagedevice/PageSize get 0 get eq and Adobe_AGM_Core /AGMCORE_Default_PageSize get 1 get currentpagedevice/PageSize get 1 get eq and }if { Adobe_AGM_Core /AGMCORE_Default_CTM get setmatrix }if }ifelse }def AGMCORE_err_strings begin /AGMCORE_bad_environ (Environment not satisfactory for this job. Ensure that the PPD is correct or that the PostScript level requested is supported by this printer. ) def /AGMCORE_color_space_onhost_seps (This job contains colors that will not separate with on-host methods. ) def /AGMCORE_invalid_color_space (This job contains an invalid color space. ) def end end systemdict /setpacking known { setpacking } if %%EndResource %%BeginResource: procset Adobe_CoolType_Core 2.23 0 %%Copyright: Copyright 1997-2003 Adobe Systems Incorporated. All Rights Reserved. %%Version: 2.23 0 10 dict begin /Adobe_CoolType_Passthru currentdict def /Adobe_CoolType_Core_Defined userdict /Adobe_CoolType_Core known def Adobe_CoolType_Core_Defined { /Adobe_CoolType_Core userdict /Adobe_CoolType_Core get def } if userdict /Adobe_CoolType_Core 60 dict dup begin put /Adobe_CoolType_Version 2.23 def /Level2? systemdict /languagelevel known dup { pop systemdict /languagelevel get 2 ge } if def Level2? not { /currentglobal false def /setglobal /pop load def /gcheck { pop false } bind def /currentpacking false def /setpacking /pop load def /SharedFontDirectory 0 dict def } if currentpacking true setpacking /@_SaveStackLevels { Adobe_CoolType_Data begin @opStackCountByLevel @opStackLevel 2 copy known not { 2 copy 3 dict dup /args 7 index 5 add array put put get } { get dup /args get dup length 3 index lt { dup length 5 add array exch 1 index exch 0 exch putinterval 1 index exch /args exch put } { pop } ifelse } ifelse begin count 2 sub 1 index lt { pop count 1 sub } if dup /argCount exch def dup 0 gt { exch 1 index 2 add 1 roll args exch 0 exch getinterval astore pop } { pop } ifelse count 1 sub /restCount exch def end /@opStackLevel @opStackLevel 1 add def countdictstack 1 sub @dictStackCountByLevel exch @dictStackLevel exch put /@dictStackLevel @dictStackLevel 1 add def end } bind def /@_RestoreStackLevels { Adobe_CoolType_Data begin /@opStackLevel @opStackLevel 1 sub def @opStackCountByLevel @opStackLevel get begin count restCount sub dup 0 gt { { pop } repeat } { pop } ifelse args 0 argCount getinterval {} forall end /@dictStackLevel @dictStackLevel 1 sub def @dictStackCountByLevel @dictStackLevel get end countdictstack exch sub dup 0 gt { { end } repeat } { pop } ifelse } bind def /@_PopStackLevels { Adobe_CoolType_Data begin /@opStackLevel @opStackLevel 1 sub def /@dictStackLevel @dictStackLevel 1 sub def end } bind def /@Raise { exch cvx exch errordict exch get exec stop } bind def /@ReRaise { cvx $error /errorname get errordict exch get exec stop } bind def /@Stopped { 0 @#Stopped } bind def /@#Stopped { @_SaveStackLevels stopped { @_RestoreStackLevels true } { @_PopStackLevels false } ifelse } bind def /@Arg { Adobe_CoolType_Data begin @opStackCountByLevel @opStackLevel 1 sub get /args get exch get end } bind def currentglobal true setglobal /CTHasResourceForAllBug Level2? { 1 dict dup begin mark { (*) { pop stop } 128 string /Category resourceforall } stopped cleartomark currentdict eq dup { end } if not } { false } ifelse def /CTHasResourceStatusBug Level2? { mark { /steveamerige /Category resourcestatus } stopped { cleartomark true } { cleartomark currentglobal not } ifelse } { false } ifelse def setglobal /CTResourceStatus { mark 3 1 roll /Category findresource begin ({ResourceStatus} stopped) 0 () /SubFileDecode filter cvx exec { cleartomark false } { { 3 2 roll pop true } { cleartomark false } ifelse } ifelse end } bind def /CTWorkAroundBugs { Level2? { /cid_PreLoad /ProcSet resourcestatus { pop pop currentglobal mark { (*) { dup /CMap CTHasResourceStatusBug { CTResourceStatus } { resourcestatus } ifelse { pop dup 0 eq exch 1 eq or { dup /CMap findresource gcheck setglobal /CMap undefineresource } { pop CTHasResourceForAllBug { exit } { stop } ifelse } ifelse } { pop } ifelse } 128 string /CMap resourceforall } stopped { cleartomark } stopped pop setglobal } if } if } bind def /doc_setup { Adobe_CoolType_Core begin CTWorkAroundBugs /mov /moveto load def /nfnt /newencodedfont load def /mfnt /makefont load def /sfnt /setfont load def /ufnt /undefinefont load def /chp /charpath load def /awsh /awidthshow load def /wsh /widthshow load def /ash /ashow load def /sh /show load def end userdict /Adobe_CoolType_Data 10 dict dup begin /AddWidths? false def /CC 0 def /charcode 2 string def /@opStackCountByLevel 32 dict def /@opStackLevel 0 def /@dictStackCountByLevel 32 dict def /@dictStackLevel 0 def /InVMFontsByCMap 10 dict def /InVMDeepCopiedFonts 10 dict def end put } bind def /doc_trailer { currentdict Adobe_CoolType_Core eq { end } if } bind def /page_setup { Adobe_CoolType_Core begin } bind def /page_trailer { end } bind def /unload { systemdict /languagelevel known { systemdict/languagelevel get 2 ge { userdict/Adobe_CoolType_Core 2 copy known { undef } { pop pop } ifelse } if } if } bind def /ndf { 1 index where { pop pop pop } { dup xcheck { bind } if def } ifelse } def /findfont systemdict begin userdict begin /globaldict where { /globaldict get begin } if dup where pop exch get /globaldict where { pop end } if end end Adobe_CoolType_Core_Defined { /systemfindfont exch def } { /findfont 1 index def /systemfindfont exch def } ifelse /undefinefont { pop } ndf /copyfont { currentglobal 3 1 roll 1 index gcheck setglobal dup null eq { 0 } { dup length } ifelse 2 index length add 1 add dict begin exch { 1 index /FID eq { pop pop } { def } ifelse } forall dup null eq { pop } { { def } forall } ifelse currentdict end exch setglobal } bind def /copyarray { currentglobal exch dup gcheck setglobal dup length array copy exch setglobal } bind def /newencodedfont { currentglobal { SharedFontDirectory 3 index known { SharedFontDirectory 3 index get /FontReferenced known } { false } ifelse } { FontDirectory 3 index known { FontDirectory 3 index get /FontReferenced known } { SharedFontDirectory 3 index known { SharedFontDirectory 3 index get /FontReferenced known } { false } ifelse } ifelse } ifelse dup { 3 index findfont /FontReferenced get 2 index dup type /nametype eq {findfont} if ne { pop false } if } if { pop 1 index findfont /Encoding get exch 0 1 255 { 2 copy get 3 index 3 1 roll put } for pop pop pop } { dup type /nametype eq { findfont } if dup dup maxlength 2 add dict begin exch { 1 index /FID ne {def} {pop pop} ifelse } forall /FontReferenced exch def /Encoding exch dup length array copy def /FontName 1 index dup type /stringtype eq { cvn } if def dup currentdict end definefont def } ifelse } bind def /SetSubstituteStrategy { $SubstituteFont begin dup type /dicttype ne { 0 dict } if currentdict /$Strategies known { exch $Strategies exch 2 copy known { get 2 copy maxlength exch maxlength add dict begin { def } forall { def } forall currentdict dup /$Init known { dup /$Init get exec } if end /$Strategy exch def } { pop pop pop } ifelse } { pop pop } ifelse end } bind def /scff { $SubstituteFont begin dup type /stringtype eq { dup length exch } { null } ifelse /$sname exch def /$slen exch def /$inVMIndex $sname null eq { 1 index $str cvs dup length $slen sub $slen getinterval cvn } { $sname } ifelse def end { findfont } @Stopped { dup length 8 add string exch 1 index 0 (BadFont:) putinterval 1 index exch 8 exch dup length string cvs putinterval cvn { findfont } @Stopped { pop /Courier findfont } if } if $SubstituteFont begin /$sname null def /$slen 0 def /$inVMIndex null def end } bind def /isWidthsOnlyFont { dup /WidthsOnly known { pop pop true } { dup /FDepVector known { /FDepVector get { isWidthsOnlyFont dup { exit } if } forall } { dup /FDArray known { /FDArray get { isWidthsOnlyFont dup { exit } if } forall } { pop } ifelse } ifelse } ifelse } bind def /?str1 256 string def /?set { $SubstituteFont begin /$substituteFound false def /$fontname 4 index def /$doSmartSub false def end 3 index currentglobal false setglobal exch /CompatibleFonts /ProcSet resourcestatus { pop pop /CompatibleFonts /ProcSet findresource begin dup /CompatibleFont currentexception 1 index /CompatibleFont true setexception 1 index /Font resourcestatus { pop pop 3 2 roll setglobal end exch dup findfont /CompatibleFonts /ProcSet findresource begin 3 1 roll exch /CompatibleFont exch setexception end } { 3 2 roll setglobal 1 index exch /CompatibleFont exch setexception end findfont $SubstituteFont /$substituteFound true put } ifelse } { exch setglobal findfont } ifelse $SubstituteFont begin $substituteFound { false (%%[Using embedded font ) print 5 index ?str1 cvs print ( to avoid the font substitution problem noted earlier.]%%\n) print } { dup /FontName known { dup /FontName get $fontname eq 1 index /DistillerFauxFont known not and /currentdistillerparams where { pop false 2 index isWidthsOnlyFont not and } if } { false } ifelse } ifelse exch pop /$doSmartSub true def end { exch pop exch pop exch 2 dict dup /Found 3 index put exch findfont exch } { exch exec exch dup findfont dup /FontType get 3 eq { exch ?str1 cvs dup length 1 sub -1 0 { exch dup 2 index get 42 eq { exch 0 exch getinterval cvn 4 1 roll 3 2 roll pop exit } {exch pop} ifelse }for } { exch pop } ifelse 2 dict dup /Downloaded 6 5 roll put } ifelse dup /FontName 4 index put copyfont definefont pop } bind def /?str2 256 string def /?add { 1 index type /integertype eq { exch true 4 2 } { false 3 1 } ifelse roll 1 index findfont dup /Widths known { Adobe_CoolType_Data /AddWidths? true put gsave dup 1000 scalefont setfont } if /Downloaded known { exec exch { exch ?str2 cvs exch findfont /Downloaded get 1 dict begin /Downloaded 1 index def ?str1 cvs length ?str1 1 index 1 add 3 index putinterval exch length 1 add 1 index add ?str1 2 index (*) putinterval ?str1 0 2 index getinterval cvn findfont ?str1 3 index (+) putinterval 2 dict dup /FontName ?str1 0 6 index getinterval cvn put dup /Downloaded Downloaded put end copyfont dup /FontName get exch definefont pop pop pop } { pop } ifelse } { pop exch { findfont dup /Found get dup length exch ?str1 cvs pop ?str1 1 index (+) putinterval ?str1 1 index 1 add 4 index ?str2 cvs putinterval ?str1 exch 0 exch 5 4 roll ?str2 cvs length 1 add add getinterval cvn 1 dict exch 1 index exch /FontName exch put copyfont dup /FontName get exch definefont pop } { pop } ifelse } ifelse Adobe_CoolType_Data /AddWidths? get { grestore Adobe_CoolType_Data /AddWidths? false put } if } bind def /?sh { currentfont /Downloaded known { exch } if pop } bind def /?chp { currentfont /Downloaded known { pop } { false chp } ifelse } bind def /?mv { currentfont /Downloaded known { moveto pop pop } { pop pop moveto } ifelse } bind def setpacking userdict /$SubstituteFont 25 dict put 1 dict begin /SubstituteFont dup $error exch 2 copy known { get } { pop pop { pop /Courier } bind } ifelse def /currentdistillerparams where dup { pop pop currentdistillerparams /CannotEmbedFontPolicy 2 copy known { get /Error eq } { pop pop false } ifelse } if not { countdictstack array dictstack 0 get begin userdict begin $SubstituteFont begin /$str 128 string def /$fontpat 128 string def /$slen 0 def /$sname null def /$match false def /$fontname null def /$substituteFound false def /$inVMIndex null def /$doSmartSub true def /$depth 0 def /$fontname null def /$italicangle 26.5 def /$dstack null def /$Strategies 10 dict dup begin /$Type3Underprint { currentglobal exch false setglobal 11 dict begin /UseFont exch $WMode 0 ne { dup length dict copy dup /WMode $WMode put /UseFont exch definefont } if def /FontName $fontname dup type /stringtype eq { cvn } if def /FontType 3 def /FontMatrix [ .001 0 0 .001 0 0 ] def /Encoding 256 array dup 0 1 255 { /.notdef put dup } for pop def /FontBBox [ 0 0 0 0 ] def /CCInfo 7 dict dup begin /cc null def /x 0 def /y 0 def end def /BuildChar { exch begin CCInfo begin 1 string dup 0 3 index put exch pop /cc exch def UseFont 1000 scalefont setfont cc stringwidth /y exch def /x exch def x y setcharwidth $SubstituteFont /$Strategy get /$Underprint get exec 0 0 moveto cc show x y moveto end end } bind def currentdict end exch setglobal } bind def /$GetaTint 2 dict dup begin /$BuildFont { dup /WMode known { dup /WMode get } { 0 } ifelse /$WMode exch def $fontname exch dup /FontName known { dup /FontName get dup type /stringtype eq { cvn } if } { /unnamedfont } ifelse exch Adobe_CoolType_Data /InVMDeepCopiedFonts get 1 index /FontName get known { pop Adobe_CoolType_Data /InVMDeepCopiedFonts get 1 index get null copyfont } { $deepcopyfont } ifelse exch 1 index exch /FontBasedOn exch put dup /FontName $fontname dup type /stringtype eq { cvn } if put definefont Adobe_CoolType_Data /InVMDeepCopiedFonts get begin dup /FontBasedOn get 1 index def end } bind def /$Underprint { gsave x abs y abs gt { /y 1000 def } { /x -1000 def 500 120 translate } ifelse Level2? { [ /Separation (All) /DeviceCMYK { 0 0 0 1 pop } ] setcolorspace } { 0 setgray } ifelse 10 setlinewidth x .8 mul [ 7 3 ] { y mul 8 div 120 sub x 10 div exch moveto 0 y 4 div neg rlineto dup 0 rlineto 0 y 4 div rlineto closepath gsave Level2? { .2 setcolor } { .8 setgray } ifelse fill grestore stroke } forall pop grestore } bind def end def /$Oblique 1 dict dup begin /$BuildFont { currentglobal exch dup gcheck setglobal null copyfont begin /FontBasedOn currentdict /FontName known { FontName dup type /stringtype eq { cvn } if } { /unnamedfont } ifelse def /FontName $fontname dup type /stringtype eq { cvn } if def /currentdistillerparams where { pop } { /FontInfo currentdict /FontInfo known { FontInfo null copyfont } { 2 dict } ifelse dup begin /ItalicAngle $italicangle def /FontMatrix FontMatrix [ 1 0 ItalicAngle dup sin exch cos div 1 0 0 ] matrix concatmatrix readonly end 4 2 roll def def } ifelse FontName currentdict end definefont exch setglobal } bind def end def /$None 1 dict dup begin /$BuildFont {} bind def end def end def /$Oblique SetSubstituteStrategy /$findfontByEnum { dup type /stringtype eq { cvn } if dup /$fontname exch def $sname null eq { $str cvs dup length $slen sub $slen getinterval } { pop $sname } ifelse $fontpat dup 0 (fonts/*) putinterval exch 7 exch putinterval /$match false def $SubstituteFont /$dstack countdictstack array dictstack put mark { $fontpat 0 $slen 7 add getinterval { /$match exch def exit } $str filenameforall } stopped { cleardictstack currentdict true $SubstituteFont /$dstack get { exch { 1 index eq { pop false } { true } ifelse } { begin false } ifelse } forall pop } if cleartomark /$slen 0 def $match false ne { $match (fonts/) anchorsearch pop pop cvn } { /Courier } ifelse } bind def /$ROS 1 dict dup begin /Adobe 4 dict dup begin /Japan1 [ /Ryumin-Light /HeiseiMin-W3 /GothicBBB-Medium /HeiseiKakuGo-W5 /HeiseiMaruGo-W4 /Jun101-Light ] def /Korea1 [ /HYSMyeongJo-Medium /HYGoThic-Medium ] def /GB1 [ /STSong-Light /STHeiti-Regular ] def /CNS1 [ /MKai-Medium /MHei-Medium ] def end def end def /$cmapname null def /$deepcopyfont { dup /FontType get 0 eq { 1 dict dup /FontName /copied put copyfont begin /FDepVector FDepVector copyarray 0 1 2 index length 1 sub { 2 copy get $deepcopyfont dup /FontName /copied put /copied exch definefont 3 copy put pop pop } for def currentdict end } { $Strategies /$Type3Underprint get exec } ifelse } bind def /$buildfontname { dup /CIDFont findresource /CIDSystemInfo get begin Registry length Ordering length Supplement 8 string cvs 3 copy length 2 add add add string dup 5 1 roll dup 0 Registry putinterval dup 4 index (-) putinterval dup 4 index 1 add Ordering putinterval 4 2 roll add 1 add 2 copy (-) putinterval end 1 add 2 copy 0 exch getinterval $cmapname $fontpat cvs exch anchorsearch { pop pop 3 2 roll putinterval cvn /$cmapname exch def } { pop pop pop pop pop } ifelse length $str 1 index (-) putinterval 1 add $str 1 index $cmapname $fontpat cvs putinterval $cmapname length add $str exch 0 exch getinterval cvn } bind def /$findfontByROS { /$fontname exch def $ROS Registry 2 copy known { get Ordering 2 copy known { get } { pop pop [] } ifelse } { pop pop [] } ifelse false exch { dup /CIDFont resourcestatus { pop pop save 1 index /CIDFont findresource dup /WidthsOnly known { dup /WidthsOnly get } { false } ifelse exch pop exch restore { pop } { exch pop true exit } ifelse } { pop } ifelse } forall { $str cvs $buildfontname } { false (*) { save exch dup /CIDFont findresource dup /WidthsOnly known { dup /WidthsOnly get not } { true } ifelse exch /CIDSystemInfo get dup /Registry get Registry eq exch /Ordering get Ordering eq and and { exch restore exch pop true exit } { pop restore } ifelse } $str /CIDFont resourceforall { $buildfontname } { $fontname $findfontByEnum } ifelse } ifelse } bind def end end currentdict /$error known currentdict /languagelevel known and dup { pop $error /SubstituteFont known } if dup { $error } { Adobe_CoolType_Core } ifelse begin { /SubstituteFont /CMap /Category resourcestatus { pop pop { $SubstituteFont begin /$substituteFound true def dup length $slen gt $sname null ne or $slen 0 gt and { $sname null eq { dup $str cvs dup length $slen sub $slen getinterval cvn } { $sname } ifelse Adobe_CoolType_Data /InVMFontsByCMap get 1 index 2 copy known { get false exch { pop currentglobal { GlobalFontDirectory 1 index known { exch pop true exit } { pop } ifelse } { FontDirectory 1 index known { exch pop true exit } { GlobalFontDirectory 1 index known { exch pop true exit } { pop } ifelse } ifelse } ifelse } forall } { pop pop false } ifelse { exch pop exch pop } { dup /CMap resourcestatus { pop pop dup /$cmapname exch def /CMap findresource /CIDSystemInfo get { def } forall $findfontByROS } { 128 string cvs dup (-) search { 3 1 roll search { 3 1 roll pop { dup cvi } stopped { pop pop pop pop pop $findfontByEnum } { 4 2 roll pop pop exch length exch 2 index length 2 index sub exch 1 sub -1 0 { $str cvs dup length 4 index 0 4 index 4 3 roll add getinterval exch 1 index exch 3 index exch putinterval dup /CMap resourcestatus { pop pop 4 1 roll pop pop pop dup /$cmapname exch def /CMap findresource /CIDSystemInfo get { def } forall $findfontByROS true exit } { pop } ifelse } for dup type /booleantype eq { pop } { pop pop pop $findfontByEnum } ifelse } ifelse } { pop pop pop $findfontByEnum } ifelse } { pop pop $findfontByEnum } ifelse } ifelse } ifelse } { //SubstituteFont exec } ifelse /$slen 0 def end } } { { $SubstituteFont begin /$substituteFound true def dup length $slen gt $sname null ne or $slen 0 gt and { $findfontByEnum } { //SubstituteFont exec } ifelse end } } ifelse bind readonly def Adobe_CoolType_Core /scfindfont /systemfindfont load put } { /scfindfont { $SubstituteFont begin dup systemfindfont dup /FontName known { dup /FontName get dup 3 index ne } { /noname true } ifelse dup { /$origfontnamefound 2 index def /$origfontname 4 index def /$substituteFound true def } if exch pop { $slen 0 gt $sname null ne 3 index length $slen gt or and { pop dup $findfontByEnum findfont dup maxlength 1 add dict begin { 1 index /FID eq { pop pop } { def } ifelse } forall currentdict end definefont dup /FontName known { dup /FontName get } { null } ifelse $origfontnamefound ne { $origfontname $str cvs print ( substitution revised, using ) print dup /FontName known { dup /FontName get } { (unspecified font) } ifelse $str cvs print (.\n) print } if } { exch pop } ifelse } { exch pop } ifelse end } bind def } ifelse end end Adobe_CoolType_Core_Defined not { Adobe_CoolType_Core /findfont { $SubstituteFont begin $depth 0 eq { /$fontname 1 index dup type /stringtype ne { $str cvs } if def /$substituteFound false def } if /$depth $depth 1 add def end scfindfont $SubstituteFont begin /$depth $depth 1 sub def $substituteFound $depth 0 eq and { $inVMIndex null ne { dup $inVMIndex $AddInVMFont } if $doSmartSub { currentdict /$Strategy known { $Strategy /$BuildFont get exec } if } if } if end } bind put } if } if end /$AddInVMFont { exch /FontName 2 copy known { get 1 dict dup begin exch 1 index gcheck def end exch Adobe_CoolType_Data /InVMFontsByCMap get exch $DictAdd } { pop pop pop } ifelse } bind def /$DictAdd { 2 copy known not { 2 copy 4 index length dict put } if Level2? not { 2 copy get dup maxlength exch length 4 index length add lt 2 copy get dup length 4 index length add exch maxlength 1 index lt { 2 mul dict begin 2 copy get { forall } def 2 copy currentdict put end } { pop } ifelse } if get begin { def } forall end } bind def end end %%EndResource %%BeginResource: procset Adobe_CoolType_Utility_MAKEOCF 1.19 0 %%Copyright: Copyright 1987-2003 Adobe Systems Incorporated. %%Version: 1.19 0 systemdict /languagelevel known dup { currentglobal false setglobal } { false } ifelse exch userdict /Adobe_CoolType_Utility 2 copy known { 2 copy get dup maxlength 25 add dict copy } { 25 dict } ifelse put Adobe_CoolType_Utility begin /ct_Level2? exch def /ct_Clone? 1183615869 internaldict dup /CCRun known not exch /eCCRun known not ct_Level2? and or def ct_Level2? { globaldict begin currentglobal true setglobal } if /ct_AddStdCIDMap ct_Level2? { { ((Hex) 57 StartData 0615 1e27 2c39 1c60 d8a8 cc31 fe2b f6e0 7aa3 e541 e21c 60d8 a8c9 c3d0 6d9e 1c60 d8a8 c9c2 02d7 9a1c 60d8 a849 1c60 d8a8 cc36 74f4 1144 b13b 77) 0 () /SubFileDecode filter cvx exec } } { { eexec } } ifelse bind def userdict /cid_extensions known dup { cid_extensions /cid_UpdateDB known and } if { cid_extensions begin /cid_GetCIDSystemInfo { 1 index type /stringtype eq { exch cvn exch } if cid_extensions begin dup load 2 index known { 2 copy cid_GetStatusInfo dup null ne { 1 index load 3 index get dup null eq { pop pop cid_UpdateDB } { exch 1 index /Created get eq { exch pop exch pop } { pop cid_UpdateDB } ifelse } ifelse } { pop cid_UpdateDB } ifelse } { cid_UpdateDB } ifelse end } bind def end } if ct_Level2? { end setglobal } if /ct_UseNativeCapability? systemdict /composefont known def /ct_MakeOCF 35 dict def /ct_Vars 25 dict def /ct_GlyphDirProcs 6 dict def /ct_BuildCharDict 15 dict dup begin /charcode 2 string def /dst_string 1500 string def /nullstring () def /usewidths? true def end def ct_Level2? { setglobal } { pop } ifelse ct_GlyphDirProcs begin /GetGlyphDirectory { systemdict /languagelevel known { pop /CIDFont findresource /GlyphDirectory get } { 1 index /CIDFont findresource /GlyphDirectory get dup type /dicttype eq { dup dup maxlength exch length sub 2 index lt { dup length 2 index add dict copy 2 index /CIDFont findresource/GlyphDirectory 2 index put } if } if exch pop exch pop } ifelse + } def /+ { systemdict /languagelevel known { currentglobal false setglobal 3 dict begin /vm exch def } { 1 dict begin } ifelse /$ exch def systemdict /languagelevel known { vm setglobal /gvm currentglobal def $ gcheck setglobal } if ? { $ begin } if } def /? { $ type /dicttype eq } def /| { userdict /Adobe_CoolType_Data known { Adobe_CoolType_Data /AddWidths? known { currentdict Adobe_CoolType_Data begin begin AddWidths? { Adobe_CoolType_Data /CC 3 index put ? { def } { $ 3 1 roll put } ifelse CC charcode exch 1 index 0 2 index 256 idiv put 1 index exch 1 exch 256 mod put stringwidth 2 array astore currentfont /Widths get exch CC exch put } { ? { def } { $ 3 1 roll put } ifelse } ifelse end end } { ? { def } { $ 3 1 roll put } ifelse } ifelse } { ? { def } { $ 3 1 roll put } ifelse } ifelse } def /! { ? { end } if systemdict /languagelevel known { gvm setglobal } if end } def /: { string currentfile exch readstring pop } executeonly def end ct_MakeOCF begin /ct_cHexEncoding [/c00/c01/c02/c03/c04/c05/c06/c07/c08/c09/c0A/c0B/c0C/c0D/c0E/c0F/c10/c11/c12 /c13/c14/c15/c16/c17/c18/c19/c1A/c1B/c1C/c1D/c1E/c1F/c20/c21/c22/c23/c24/c25 /c26/c27/c28/c29/c2A/c2B/c2C/c2D/c2E/c2F/c30/c31/c32/c33/c34/c35/c36/c37/c38 /c39/c3A/c3B/c3C/c3D/c3E/c3F/c40/c41/c42/c43/c44/c45/c46/c47/c48/c49/c4A/c4B /c4C/c4D/c4E/c4F/c50/c51/c52/c53/c54/c55/c56/c57/c58/c59/c5A/c5B/c5C/c5D/c5E /c5F/c60/c61/c62/c63/c64/c65/c66/c67/c68/c69/c6A/c6B/c6C/c6D/c6E/c6F/c70/c71 /c72/c73/c74/c75/c76/c77/c78/c79/c7A/c7B/c7C/c7D/c7E/c7F/c80/c81/c82/c83/c84 /c85/c86/c87/c88/c89/c8A/c8B/c8C/c8D/c8E/c8F/c90/c91/c92/c93/c94/c95/c96/c97 /c98/c99/c9A/c9B/c9C/c9D/c9E/c9F/cA0/cA1/cA2/cA3/cA4/cA5/cA6/cA7/cA8/cA9/cAA /cAB/cAC/cAD/cAE/cAF/cB0/cB1/cB2/cB3/cB4/cB5/cB6/cB7/cB8/cB9/cBA/cBB/cBC/cBD /cBE/cBF/cC0/cC1/cC2/cC3/cC4/cC5/cC6/cC7/cC8/cC9/cCA/cCB/cCC/cCD/cCE/cCF/cD0 /cD1/cD2/cD3/cD4/cD5/cD6/cD7/cD8/cD9/cDA/cDB/cDC/cDD/cDE/cDF/cE0/cE1/cE2/cE3 /cE4/cE5/cE6/cE7/cE8/cE9/cEA/cEB/cEC/cED/cEE/cEF/cF0/cF1/cF2/cF3/cF4/cF5/cF6 /cF7/cF8/cF9/cFA/cFB/cFC/cFD/cFE/cFF] def /ct_CID_STR_SIZE 8000 def /ct_mkocfStr100 100 string def /ct_defaultFontMtx [.001 0 0 .001 0 0] def /ct_1000Mtx [1000 0 0 1000 0 0] def /ct_raise {exch cvx exch errordict exch get exec stop} bind def /ct_reraise { cvx $error /errorname get (Error: ) print dup ( ) cvs print errordict exch get exec stop } bind def /ct_cvnsi { 1 index add 1 sub 1 exch 0 4 1 roll { 2 index exch get exch 8 bitshift add } for exch pop } bind def /ct_GetInterval { Adobe_CoolType_Utility /ct_BuildCharDict get begin /dst_index 0 def dup dst_string length gt { dup string /dst_string exch def } if 1 index ct_CID_STR_SIZE idiv /arrayIndex exch def 2 index arrayIndex get 2 index arrayIndex ct_CID_STR_SIZE mul sub { dup 3 index add 2 index length le { 2 index getinterval dst_string dst_index 2 index putinterval length dst_index add /dst_index exch def exit } { 1 index length 1 index sub dup 4 1 roll getinterval dst_string dst_index 2 index putinterval pop dup dst_index add /dst_index exch def sub /arrayIndex arrayIndex 1 add def 2 index dup length arrayIndex gt { arrayIndex get } { pop exit } ifelse 0 } ifelse } loop pop pop pop dst_string 0 dst_index getinterval end } bind def ct_Level2? { /ct_resourcestatus currentglobal mark true setglobal { /unknowninstancename /Category resourcestatus } stopped { cleartomark setglobal true } { cleartomark currentglobal not exch setglobal } ifelse { { mark 3 1 roll /Category findresource begin ct_Vars /vm currentglobal put ({ResourceStatus} stopped) 0 () /SubFileDecode filter cvx exec { cleartomark false } { { 3 2 roll pop true } { cleartomark false } ifelse } ifelse ct_Vars /vm get setglobal end } } { { resourcestatus } } ifelse bind def /CIDFont /Category ct_resourcestatus { pop pop } { currentglobal true setglobal /Generic /Category findresource dup length dict copy dup /InstanceType /dicttype put /CIDFont exch /Category defineresource pop setglobal } ifelse ct_UseNativeCapability? { /CIDInit /ProcSet findresource begin 12 dict begin begincmap /CIDSystemInfo 3 dict dup begin /Registry (Adobe) def /Ordering (Identity) def /Supplement 0 def end def /CMapName /Identity-H def /CMapVersion 1.000 def /CMapType 1 def 1 begincodespacerange <0000> endcodespacerange 1 begincidrange <0000> 0 endcidrange endcmap CMapName currentdict /CMap defineresource pop end end } if } { /ct_Category 2 dict begin /CIDFont 10 dict def /ProcSet 2 dict def currentdict end def /defineresource { ct_Category 1 index 2 copy known { get dup dup maxlength exch length eq { dup length 10 add dict copy ct_Category 2 index 2 index put } if 3 index 3 index put pop exch pop } { pop pop /defineresource /undefined ct_raise } ifelse } bind def /findresource { ct_Category 1 index 2 copy known { get 2 index 2 copy known { get 3 1 roll pop pop} { pop pop /findresource /undefinedresource ct_raise } ifelse } { pop pop /findresource /undefined ct_raise } ifelse } bind def /resourcestatus { ct_Category 1 index 2 copy known { get 2 index known exch pop exch pop { 0 -1 true } { false } ifelse } { pop pop /findresource /undefined ct_raise } ifelse } bind def /ct_resourcestatus /resourcestatus load def } ifelse /ct_CIDInit 2 dict begin /ct_cidfont_stream_init { { dup (Binary) eq { pop null currentfile ct_Level2? { { cid_BYTE_COUNT () /SubFileDecode filter } stopped { pop pop pop } if } if /readstring load exit } if dup (Hex) eq { pop currentfile ct_Level2? { { null exch /ASCIIHexDecode filter /readstring } stopped { pop exch pop (>) exch /readhexstring } if } { (>) exch /readhexstring } ifelse load exit } if /StartData /typecheck ct_raise } loop cid_BYTE_COUNT ct_CID_STR_SIZE le { 2 copy cid_BYTE_COUNT string exch exec pop 1 array dup 3 -1 roll 0 exch put } { cid_BYTE_COUNT ct_CID_STR_SIZE div ceiling cvi dup array exch 2 sub 0 exch 1 exch { 2 copy 5 index ct_CID_STR_SIZE string 6 index exec pop put pop } for 2 index cid_BYTE_COUNT ct_CID_STR_SIZE mod string 3 index exec pop 1 index exch 1 index length 1 sub exch put } ifelse cid_CIDFONT exch /GlyphData exch put 2 index null eq { pop pop pop } { pop /readstring load 1 string exch { 3 copy exec pop dup length 0 eq { pop pop pop pop pop true exit } if 4 index eq { pop pop pop pop false exit } if } loop pop } ifelse } bind def /StartData { mark { currentdict dup /FDArray get 0 get /FontMatrix get 0 get 0.001 eq { dup /CDevProc known not { /CDevProc 1183615869 internaldict /stdCDevProc 2 copy known { get } { pop pop { pop pop pop pop pop 0 -1000 7 index 2 div 880 } } ifelse def } if } { /CDevProc { pop pop pop pop pop 0 1 cid_temp /cid_CIDFONT get /FDArray get 0 get /FontMatrix get 0 get div 7 index 2 div 1 index 0.88 mul } def } ifelse /cid_temp 15 dict def cid_temp begin /cid_CIDFONT exch def 3 copy pop dup /cid_BYTE_COUNT exch def 0 gt { ct_cidfont_stream_init FDArray { /Private get dup /SubrMapOffset known { begin /Subrs SubrCount array def Subrs SubrMapOffset SubrCount SDBytes ct_Level2? { currentdict dup /SubrMapOffset undef dup /SubrCount undef /SDBytes undef } if end /cid_SD_BYTES exch def /cid_SUBR_COUNT exch def /cid_SUBR_MAP_OFFSET exch def /cid_SUBRS exch def cid_SUBR_COUNT 0 gt { GlyphData cid_SUBR_MAP_OFFSET cid_SD_BYTES ct_GetInterval 0 cid_SD_BYTES ct_cvnsi 0 1 cid_SUBR_COUNT 1 sub { exch 1 index 1 add cid_SD_BYTES mul cid_SUBR_MAP_OFFSET add GlyphData exch cid_SD_BYTES ct_GetInterval 0 cid_SD_BYTES ct_cvnsi cid_SUBRS 4 2 roll GlyphData exch 4 index 1 index sub ct_GetInterval dup length string copy put } for pop } if } { pop } ifelse } forall } if cleartomark pop pop end CIDFontName currentdict /CIDFont defineresource pop end end } stopped { cleartomark /StartData ct_reraise } if } bind def currentdict end def /ct_saveCIDInit { /CIDInit /ProcSet ct_resourcestatus { true } { /CIDInitC /ProcSet ct_resourcestatus } ifelse { pop pop /CIDInit /ProcSet findresource ct_UseNativeCapability? { pop null } { /CIDInit ct_CIDInit /ProcSet defineresource pop } ifelse } { /CIDInit ct_CIDInit /ProcSet defineresource pop null } ifelse ct_Vars exch /ct_oldCIDInit exch put } bind def /ct_restoreCIDInit { ct_Vars /ct_oldCIDInit get dup null ne { /CIDInit exch /ProcSet defineresource pop } { pop } ifelse } bind def /ct_BuildCharSetUp { 1 index begin CIDFont begin Adobe_CoolType_Utility /ct_BuildCharDict get begin /ct_dfCharCode exch def /ct_dfDict exch def CIDFirstByte ct_dfCharCode add dup CIDCount ge { pop 0 } if /cid exch def { GlyphDirectory cid 2 copy known { get } { pop pop nullstring } ifelse dup length FDBytes sub 0 gt { dup FDBytes 0 ne { 0 FDBytes ct_cvnsi } { pop 0 } ifelse /fdIndex exch def dup length FDBytes sub FDBytes exch getinterval /charstring exch def exit } { pop cid 0 eq { /charstring nullstring def exit } if /cid 0 def } ifelse } loop } def /ct_SetCacheDevice { 0 0 moveto dup stringwidth 3 -1 roll true charpath pathbbox 0 -1000 7 index 2 div 880 setcachedevice2 0 0 moveto } def /ct_CloneSetCacheProc { 1 eq { stringwidth pop -2 div -880 0 -1000 setcharwidth moveto } { usewidths? { currentfont /Widths get cid 2 copy known { get exch pop aload pop } { pop pop stringwidth } ifelse } { stringwidth } ifelse setcharwidth 0 0 moveto } ifelse } def /ct_Type3ShowCharString { ct_FDDict fdIndex 2 copy known { get } { currentglobal 3 1 roll 1 index gcheck setglobal ct_Type1FontTemplate dup maxlength dict copy begin FDArray fdIndex get dup /FontMatrix 2 copy known { get } { pop pop ct_defaultFontMtx } ifelse /FontMatrix exch dup length array copy def /Private get /Private exch def /Widths rootfont /Widths get def /CharStrings 1 dict dup /.notdef dup length string copy put def currentdict end /ct_Type1Font exch definefont dup 5 1 roll put setglobal } ifelse dup /CharStrings get 1 index /Encoding get ct_dfCharCode get charstring put rootfont /WMode 2 copy known { get } { pop pop 0 } ifelse exch 1000 scalefont setfont ct_str1 0 ct_dfCharCode put ct_str1 exch ct_dfSetCacheProc ct_SyntheticBold { currentpoint ct_str1 show newpath moveto ct_str1 true charpath ct_StrokeWidth setlinewidth stroke } { ct_str1 show } ifelse } def /ct_Type4ShowCharString { ct_dfDict ct_dfCharCode charstring FDArray fdIndex get dup /FontMatrix get dup ct_defaultFontMtx ct_matrixeq not { ct_1000Mtx matrix concatmatrix concat } { pop } ifelse /Private get Adobe_CoolType_Utility /ct_Level2? get not { ct_dfDict /Private 3 -1 roll { put } 1183615869 internaldict /superexec get exec } if 1183615869 internaldict Adobe_CoolType_Utility /ct_Level2? get { 1 index } { 3 index /Private get mark 6 1 roll } ifelse dup /RunInt known { /RunInt get } { pop /CCRun } ifelse get exec Adobe_CoolType_Utility /ct_Level2? get not { cleartomark } if } bind def /ct_BuildCharIncremental { { Adobe_CoolType_Utility /ct_MakeOCF get begin ct_BuildCharSetUp ct_ShowCharString } stopped { stop } if end end end end } bind def /BaseFontNameStr (BF00) def /ct_Type1FontTemplate 14 dict begin /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] def /FontBBox [-250 -250 1250 1250] def /Encoding ct_cHexEncoding def /PaintType 0 def currentdict end def /BaseFontTemplate 11 dict begin /FontMatrix [0.001 0 0 0.001 0 0] def /FontBBox [-250 -250 1250 1250] def /Encoding ct_cHexEncoding def /BuildChar /ct_BuildCharIncremental load def ct_Clone? { /FontType 3 def /ct_ShowCharString /ct_Type3ShowCharString load def /ct_dfSetCacheProc /ct_CloneSetCacheProc load def /ct_SyntheticBold false def /ct_StrokeWidth 1 def } { /FontType 4 def /Private 1 dict dup /lenIV 4 put def /CharStrings 1 dict dup /.notdef put def /PaintType 0 def /ct_ShowCharString /ct_Type4ShowCharString load def } ifelse /ct_str1 1 string def currentdict end def /BaseFontDictSize BaseFontTemplate length 5 add def /ct_matrixeq { true 0 1 5 { dup 4 index exch get exch 3 index exch get eq and dup not { exit } if } for exch pop exch pop } bind def /ct_makeocf { 15 dict begin exch /WMode exch def exch /FontName exch def /FontType 0 def /FMapType 2 def dup /FontMatrix known { dup /FontMatrix get /FontMatrix exch def } { /FontMatrix matrix def } ifelse /bfCount 1 index /CIDCount get 256 idiv 1 add dup 256 gt { pop 256} if def /Encoding 256 array 0 1 bfCount 1 sub { 2 copy dup put pop } for bfCount 1 255 { 2 copy bfCount put pop } for def /FDepVector bfCount dup 256 lt { 1 add } if array def BaseFontTemplate BaseFontDictSize dict copy begin /CIDFont exch def CIDFont /FontBBox known { CIDFont /FontBBox get /FontBBox exch def } if CIDFont /CDevProc known { CIDFont /CDevProc get /CDevProc exch def } if currentdict end BaseFontNameStr 3 (0) putinterval 0 1 bfCount dup 256 eq { 1 sub } if { FDepVector exch 2 index BaseFontDictSize dict copy begin dup /CIDFirstByte exch 256 mul def FontType 3 eq { /ct_FDDict 2 dict def } if currentdict end 1 index 16 BaseFontNameStr 2 2 getinterval cvrs pop BaseFontNameStr exch definefont put } for ct_Clone? { /Widths 1 index /CIDFont get /GlyphDirectory get length dict def } if FontName currentdict end definefont ct_Clone? { gsave dup 1000 scalefont setfont ct_BuildCharDict begin /usewidths? false def currentfont /Widths get begin exch /CIDFont get /GlyphDirectory get { pop dup charcode exch 1 index 0 2 index 256 idiv put 1 index exch 1 exch 256 mod put stringwidth 2 array astore def } forall end /usewidths? true def end grestore } { exch pop } ifelse } bind def /ct_ComposeFont { ct_UseNativeCapability? { 2 index /CMap ct_resourcestatus { pop pop exch pop } { /CIDInit /ProcSet findresource begin 12 dict begin begincmap /CMapName 3 index def /CMapVersion 1.000 def /CMapType 1 def exch /WMode exch def /CIDSystemInfo 3 dict dup begin /Registry (Adobe) def /Ordering CMapName ct_mkocfStr100 cvs (Adobe-) search { pop pop (-) search { dup length string copy exch pop exch pop } { pop (Identity)} ifelse } { pop (Identity) } ifelse def /Supplement 0 def end def 1 begincodespacerange <0000> endcodespacerange 1 begincidrange <0000> 0 endcidrange endcmap CMapName currentdict /CMap defineresource pop end end } ifelse composefont } { 3 2 roll pop 0 get /CIDFont findresource ct_makeocf } ifelse } bind def /ct_MakeIdentity { ct_UseNativeCapability? { 1 index /CMap ct_resourcestatus { pop pop } { /CIDInit /ProcSet findresource begin 12 dict begin begincmap /CMapName 2 index def /CMapVersion 1.000 def /CMapType 1 def /CIDSystemInfo 3 dict dup begin /Registry (Adobe) def /Ordering CMapName ct_mkocfStr100 cvs (Adobe-) search { pop pop (-) search { dup length string copy exch pop exch pop } { pop (Identity) } ifelse } { pop (Identity) } ifelse def /Supplement 0 def end def 1 begincodespacerange <0000> endcodespacerange 1 begincidrange <0000> 0 endcidrange endcmap CMapName currentdict /CMap defineresource pop end end } ifelse composefont } { exch pop 0 get /CIDFont findresource ct_makeocf } ifelse } bind def currentdict readonly pop end end %%EndResource %%BeginResource: procset Adobe_CoolType_Utility_T42 1.0 0 %%Copyright: Copyright 1987-2003 Adobe Systems Incorporated. %%Version: 1.0 0 userdict /ct_T42Dict 15 dict put ct_T42Dict begin /Is2015? { version cvi 2015 ge } bind def /AllocGlyphStorage { Is2015? { pop } { {string} forall } ifelse } bind def /Type42DictBegin { 25 dict begin /FontName exch def /CharStrings 256 dict begin /.notdef 0 def currentdict end def /Encoding exch def /PaintType 0 def /FontType 42 def /FontMatrix [1 0 0 1 0 0] def 4 array astore cvx /FontBBox exch def /sfnts } bind def /Type42DictEnd { currentdict dup /FontName get exch definefont end ct_T42Dict exch dup /FontName get exch put } bind def /RD {string currentfile exch readstring pop} executeonly def /PrepFor2015 { Is2015? { /GlyphDirectory 16 dict def sfnts 0 get dup 2 index (glyx) putinterval 2 index (locx) putinterval pop pop } { pop pop } ifelse } bind def /AddT42Char { Is2015? { /GlyphDirectory get begin def end pop pop } { /sfnts get 4 index get 3 index 2 index putinterval pop pop pop pop } ifelse } bind def end %%EndResource Adobe_CoolType_Core begin /$Oblique SetSubstituteStrategy end %%BeginResource: procset Adobe_AGM_Image 1.0 0 %%Version: 1.0 0 %%Copyright: Copyright (C) 2000-2003 Adobe Systems, Inc. All Rights Reserved. systemdict /setpacking known { currentpacking true setpacking } if userdict /Adobe_AGM_Image 75 dict dup begin put /Adobe_AGM_Image_Id /Adobe_AGM_Image_1.0_0 def /nd{ null def }bind def /AGMIMG_&image nd /AGMIMG_&colorimage nd /AGMIMG_&imagemask nd /AGMIMG_mbuf () def /AGMIMG_ybuf () def /AGMIMG_kbuf () def /AGMIMG_c 0 def /AGMIMG_m 0 def /AGMIMG_y 0 def /AGMIMG_k 0 def /AGMIMG_tmp nd /AGMIMG_imagestring0 nd /AGMIMG_imagestring1 nd /AGMIMG_imagestring2 nd /AGMIMG_imagestring3 nd /AGMIMG_imagestring4 nd /AGMIMG_imagestring5 nd /AGMIMG_cnt nd /AGMIMG_fsave nd /AGMIMG_colorAry nd /AGMIMG_override nd /AGMIMG_name nd /AGMIMG_maskSource nd /invert_image_samples nd /knockout_image_samples nd /img nd /sepimg nd /devnimg nd /idximg nd /doc_setup { Adobe_AGM_Core begin Adobe_AGM_Image begin /AGMIMG_&image systemdict/image get def /AGMIMG_&imagemask systemdict/imagemask get def /colorimage where{ pop /AGMIMG_&colorimage /colorimage ldf }if end end }def /page_setup { Adobe_AGM_Image begin /AGMIMG_ccimage_exists {/customcolorimage where { pop /Adobe_AGM_OnHost_Seps where { pop false }{ /Adobe_AGM_InRip_Seps where { pop false }{ true }ifelse }ifelse }{ false }ifelse }bdf level2{ /invert_image_samples { Adobe_AGM_Image/AGMIMG_tmp Decode length ddf /Decode [ Decode 1 get Decode 0 get] def }def /knockout_image_samples { Operator/imagemask ne{ /Decode [1 1] def }if }def }{ /invert_image_samples { {1 exch sub} currenttransfer addprocs settransfer }def /knockout_image_samples { { pop 1 } currenttransfer addprocs settransfer }def }ifelse /img /imageormask ldf /sepimg /sep_imageormask ldf /devnimg /devn_imageormask ldf /idximg /indexed_imageormask ldf /_ctype 7 def currentdict{ dup xcheck 1 index type dup /arraytype eq exch /packedarraytype eq or and{ bind }if def }forall }def /page_trailer { end }def /doc_trailer { }def /imageormask_sys { begin save mark level2{ currentdict Operator /imagemask eq{ AGMIMG_&imagemask }{ use_mask { level3 {process_mask_L3 AGMIMG_&image}{masked_image_simulation}ifelse }{ AGMIMG_&image }ifelse }ifelse }{ Width Height Operator /imagemask eq{ Decode 0 get 1 eq Decode 1 get 0 eq and ImageMatrix /DataSource load AGMIMG_&imagemask }{ BitsPerComponent ImageMatrix /DataSource load AGMIMG_&image }ifelse }ifelse cleartomark restore end }def /overprint_plate { currentoverprint { 0 get dup type /nametype eq { dup /DeviceGray eq{ pop AGMCORE_black_plate not }{ /DeviceCMYK eq{ AGMCORE_is_cmyk_sep not }if }ifelse }{ false exch { AGMOHS_sepink eq or } forall not } ifelse }{ pop false }ifelse }def /process_mask_L3 { dup begin /ImageType 1 def end 4 dict begin /DataDict exch def /ImageType 3 def /InterleaveType 3 def /MaskDict 9 dict begin /ImageType 1 def /Width DataDict dup /MaskWidth known {/MaskWidth}{/Width} ifelse get def /Height DataDict dup /MaskHeight known {/MaskHeight}{/Height} ifelse get def /ImageMatrix [Width 0 0 Height neg 0 Height] def /NComponents 1 def /BitsPerComponent 1 def /Decode [0 1] def /DataSource AGMIMG_maskSource def currentdict end def currentdict end }def /use_mask { dup type /dicttype eq { dup /Mask known { dup /Mask get { level3 {true} { dup /MaskWidth known {dup /MaskWidth get 1 index /Width get eq}{true}ifelse exch dup /MaskHeight known {dup /MaskHeight get 1 index /Height get eq}{true}ifelse 3 -1 roll and } ifelse } {false} ifelse } {false} ifelse } {false} ifelse }def /make_line_source { begin MultipleDataSources { [ Decode length 2 div cvi {Width string} repeat ] }{ Width Decode length 2 div mul cvi string }ifelse end }def /datasource_to_str { exch dup type dup /filetype eq { pop exch readstring }{ /arraytype eq { exec exch copy }{ pop }ifelse }ifelse pop }def /masked_image_simulation { 3 dict begin dup make_line_source /line_source xdf /mask_source AGMIMG_maskSource /LZWDecode filter def dup /Width get 8 div ceiling cvi string /mask_str xdf begin gsave 0 1 translate 1 -1 Height div scale 1 1 Height { pop gsave MultipleDataSources { 0 1 DataSource length 1 sub { dup DataSource exch get exch line_source exch get datasource_to_str } for }{ DataSource line_source datasource_to_str } ifelse << /PatternType 1 /PaintProc [ /pop cvx << /ImageType 1 /Width Width /Height 1 /ImageMatrix Width 1.0 sub 1 matrix scale 0.5 0 matrix translate matrix concatmatrix /MultipleDataSources MultipleDataSources /DataSource line_source /BitsPerComponent BitsPerComponent /Decode Decode >> /image cvx ] cvx /BBox [0 0 Width 1] /XStep Width /YStep 1 /PaintType 1 /TilingType 2 >> matrix makepattern set_pattern << /ImageType 1 /Width Width /Height 1 /ImageMatrix Width 1 matrix scale /MultipleDataSources false /DataSource mask_source mask_str readstring pop /BitsPerComponent 1 /Decode [0 1] >> imagemask grestore 0 1 translate } for grestore end end }def /imageormask { begin SkipImageProc { currentdict consumeimagedata } { save mark level2 AGMCORE_host_sep not and{ currentdict Operator /imagemask eq DeviceN_PS2 not and { imagemask }{ AGMCORE_in_rip_sep currentoverprint and currentcolorspace 0 get /DeviceGray eq and{ [/Separation /Black /DeviceGray {}] setcolorspace /Decode [ Decode 1 get Decode 0 get ] def }if use_mask { level3 {process_mask_L3 image}{masked_image_simulation}ifelse }{ DeviceN_NoneName DeviceN_PS2 Indexed_DeviceN level3 not and or or AGMCORE_in_rip_sep and { Names convert_to_process not { 2 dict begin /imageDict xdf /names_index 0 def gsave imageDict write_image_file { Names { dup (None) ne { [/Separation 3 -1 roll /DeviceGray {1 exch sub}] setcolorspace Operator imageDict read_image_file names_index 0 eq {true setoverprint} if /names_index names_index 1 add def }{ pop } ifelse } forall close_image_file } if grestore end }{ Operator /imagemask eq { imagemask }{ image } ifelse } ifelse }{ Operator /imagemask eq { imagemask }{ image } ifelse } ifelse }ifelse }ifelse }{ Width Height Operator /imagemask eq{ Decode 0 get 1 eq Decode 1 get 0 eq and ImageMatrix /DataSource load /Adobe_AGM_OnHost_Seps where { pop imagemask }{ currentgray 1 ne{ currentdict imageormask_sys }{ currentoverprint not{ 1 AGMCORE_&setgray currentdict imageormask_sys }{ currentdict ignoreimagedata }ifelse }ifelse }ifelse }{ BitsPerComponent ImageMatrix MultipleDataSources{ 0 1 NComponents 1 sub{ DataSource exch get }for }{ /DataSource load }ifelse Operator /colorimage eq{ AGMCORE_host_sep{ MultipleDataSources level2 or NComponents 4 eq and{ AGMCORE_is_cmyk_sep{ MultipleDataSources{ /DataSource [ DataSource 0 get /exec cvx DataSource 1 get /exec cvx DataSource 2 get /exec cvx DataSource 3 get /exec cvx /AGMCORE_get_ink_data cvx ] cvx def }{ /DataSource Width BitsPerComponent mul 7 add 8 idiv Height mul 4 mul /DataSource load filter_cmyk 0 () /SubFileDecode filter def }ifelse /Decode [ Decode 0 get Decode 1 get ] def /MultipleDataSources false def /NComponents 1 def /Operator /image def invert_image_samples 1 AGMCORE_&setgray currentdict imageormask_sys }{ currentoverprint not Operator/imagemask eq and{ 1 AGMCORE_&setgray currentdict imageormask_sys }{ currentdict ignoreimagedata }ifelse }ifelse }{ MultipleDataSources NComponents AGMIMG_&colorimage }ifelse }{ true NComponents colorimage }ifelse }{ Operator /image eq{ AGMCORE_host_sep{ /DoImage true def HostSepColorImage{ invert_image_samples }{ AGMCORE_black_plate not Operator/imagemask ne and{ /DoImage false def currentdict ignoreimagedata }if }ifelse 1 AGMCORE_&setgray DoImage {currentdict imageormask_sys} if }{ use_mask { level3 {process_mask_L3 image}{masked_image_simulation}ifelse }{ image }ifelse }ifelse }{ Operator/knockout eq{ pop pop pop pop pop currentcolorspace overprint_plate not{ knockout_unitsq }if }if }ifelse }ifelse }ifelse }ifelse cleartomark restore }ifelse end }def /sep_imageormask { /sep_colorspace_dict AGMCORE_gget begin /MappedCSA CSA map_csa def begin SkipImageProc { currentdict consumeimagedata } { save mark AGMCORE_avoid_L2_sep_space{ /Decode [ Decode 0 get 255 mul Decode 1 get 255 mul ] def }if AGMIMG_ccimage_exists MappedCSA 0 get /DeviceCMYK eq and currentdict/Components known and Name () ne and Name (All) ne and Operator /image eq and AGMCORE_producing_seps not and level2 not and { Width Height BitsPerComponent ImageMatrix [ /DataSource load /exec cvx { 0 1 2 index length 1 sub{ 1 index exch 2 copy get 255 xor put }for } /exec cvx ] cvx bind MappedCSA 0 get /DeviceCMYK eq{ Components aload pop }{ 0 0 0 Components aload pop 1 exch sub }ifelse Name findcmykcustomcolor customcolorimage }{ AGMCORE_producing_seps not{ level2{ AGMCORE_avoid_L2_sep_space not currentcolorspace 0 get /Separation ne and{ [/Separation Name MappedCSA sep_proc_name exch 0 get exch load ] setcolorspace_opt /sep_tint AGMCORE_gget setcolor }if currentdict imageormask }{ currentdict Operator /imagemask eq{ imageormask }{ sep_imageormask_lev1 }ifelse }ifelse }{ AGMCORE_host_sep{ Operator/knockout eq{ currentdict/ImageMatrix get concat knockout_unitsq }{ currentgray 1 ne{ AGMCORE_is_cmyk_sep Name (All) ne and{ level2{ [ /Separation Name [/DeviceGray] { sep_colorspace_proc AGMCORE_get_ink_data 1 exch sub } bind ] AGMCORE_&setcolorspace /sep_tint AGMCORE_gget AGMCORE_&setcolor currentdict imageormask_sys }{ currentdict Operator /imagemask eq{ imageormask_sys }{ sep_image_lev1_sep }ifelse }ifelse }{ Operator/imagemask ne{ invert_image_samples }if currentdict imageormask_sys }ifelse }{ currentoverprint not Name (All) eq or Operator/imagemask eq and{ currentdict imageormask_sys }{ currentoverprint not { gsave knockout_unitsq grestore }if currentdict consumeimagedata }ifelse }ifelse }ifelse }{ currentcolorspace 0 get /Separation ne{ [/Separation Name MappedCSA sep_proc_name exch 0 get exch load ] setcolorspace_opt /sep_tint AGMCORE_gget setcolor }if currentoverprint MappedCSA 0 get /DeviceCMYK eq and Name inRip_spot_has_ink not and Name (All) ne and { imageormask_l2_overprint }{ currentdict imageormask }ifelse }ifelse }ifelse }ifelse cleartomark restore }ifelse end end }def /decode_image_sample { 4 1 roll exch dup 5 1 roll sub 2 4 -1 roll exp 1 sub div mul add } bdf /colorSpaceElemCnt { currentcolorspace 0 get dup /DeviceCMYK eq { pop 4 } { /DeviceRGB eq { pop 3 }{ 1 } ifelse } ifelse } bdf /devn_sep_datasource { 1 dict begin /dataSource xdf [ 0 1 dataSource length 1 sub { dup currentdict /dataSource get /exch cvx /get cvx /exec cvx /exch cvx names_index /ne cvx [ /pop cvx ] cvx /if cvx } for ] cvx bind end } bdf /devn_alt_datasource { 11 dict begin /srcDataStrs xdf /dstDataStr xdf /convProc xdf /origcolorSpaceElemCnt xdf /origMultipleDataSources xdf /origBitsPerComponent xdf /origDecode xdf /origDataSource xdf /dsCnt origMultipleDataSources {origDataSource length}{1}ifelse def /samplesNeedDecoding 0 0 1 origDecode length 1 sub { origDecode exch get add } for origDecode length 2 div div dup 1 eq { /decodeDivisor 2 origBitsPerComponent exp 1 sub def } if 2 origBitsPerComponent exp 1 sub ne def [ 0 1 dsCnt 1 sub [ currentdict /origMultipleDataSources get { dup currentdict /origDataSource get exch get dup type }{ currentdict /origDataSource get dup type } ifelse dup /filetype eq { pop currentdict /srcDataStrs get 3 -1 /roll cvx /get cvx /readstring cvx /pop cvx }{ /stringtype ne { /exec cvx } if currentdict /srcDataStrs get /exch cvx 3 -1 /roll cvx /xpt cvx } ifelse ] cvx /for cvx currentdict /srcDataStrs get 0 /get cvx /length cvx 0 /ne cvx [ 0 1 Width 1 sub [ Adobe_AGM_Utils /AGMUTIL_ndx /xddf cvx currentdict /origMultipleDataSources get { 0 1 dsCnt 1 sub [ Adobe_AGM_Utils /AGMUTIL_ndx1 /xddf cvx currentdict /srcDataStrs get /AGMUTIL_ndx1 /load cvx /get cvx /AGMUTIL_ndx /load cvx /get cvx samplesNeedDecoding { currentdict /decodeDivisor known { currentdict /decodeDivisor get /div cvx }{ currentdict /origDecode get /AGMUTIL_ndx1 /load cvx 2 /mul cvx 2 /getinterval cvx /aload cvx /pop cvxs BitsPerComponent /decode_image_sample load /exec cvx } ifelse } if ] cvx /for cvx }{ Adobe_AGM_Utils /AGMUTIL_ndx1 0 /ddf cvx currentdict /srcDataStrs get 0 /get cvx /AGMUTIL_ndx /load cvx currentdict /origDecode get length 2 idiv dup 3 1 /roll cvx /mul cvx /exch cvx /getinterval cvx [ samplesNeedDecoding { currentdict /decodeDivisor known { currentdict /decodeDivisor get /div cvx }{ currentdict /origDecode get /AGMUTIL_ndx1 /load cvx 2 /mul cvx 2 /getinterval cvx /aload cvx /pop cvx BitsPerComponent /decode_image_sample load /exec cvx Adobe_AGM_Utils /AGMUTIL_ndx1 /AGMUTIL_ndx1 /load cvx 1 /add cvx /ddf cvx } ifelse } if ] cvx /forall cvx } ifelse currentdict /convProc get /exec cvx currentdict /origcolorSpaceElemCnt get 1 sub -1 0 [ currentdict /dstDataStr get 3 1 /roll cvx /AGMUTIL_ndx /load cvx currentdict /origcolorSpaceElemCnt get /mul cvx /add cvx /exch cvx currentdict /convProc get /filter_indexed_devn load ne { 255 /mul cvx /cvi cvx } if /put cvx ] cvx /for cvx ] cvx /for cvx currentdict /dstDataStr get ] cvx /if cvx ] cvx bind end } bdf /devn_imageormask { /devicen_colorspace_dict AGMCORE_gget begin /MappedCSA CSA map_csa def 2 dict begin dup dup /dstDataStr exch /Width get colorSpaceElemCnt mul string def /srcDataStrs [ 3 -1 roll begin currentdict /MultipleDataSources known {MultipleDataSources {DataSource length}{1}ifelse}{1} ifelse { Width Decode length 2 div mul cvi string } repeat end ] def begin SkipImageProc { currentdict consumeimagedata } { save mark AGMCORE_producing_seps not { level3 not { Operator /imagemask ne { /DataSource [ DataSource Decode BitsPerComponent currentdict /MultipleDataSources known {MultipleDataSources}{false} ifelse colorSpaceElemCnt /devicen_colorspace_dict AGMCORE_gget /TintTransform get dstDataStr srcDataStrs devn_alt_datasource /exec cvx ] cvx 0 () /SubFileDecode filter def /MultipleDataSources false def /Decode colorSpaceElemCnt [ exch {0 1} repeat ] def } if }if currentdict imageormask }{ AGMCORE_host_sep{ Names convert_to_process { CSA map_csa 0 get /DeviceCMYK eq { /DataSource Width BitsPerComponent mul 7 add 8 idiv Height mul 4 mul [ DataSource Decode BitsPerComponent currentdict /MultipleDataSources known {MultipleDataSources}{false} ifelse 4 /devicen_colorspace_dict AGMCORE_gget /TintTransform get dstDataStr srcDataStrs devn_alt_datasource /exec cvx ] cvx filter_cmyk 0 () /SubFileDecode filter def /MultipleDataSources false def /Decode [1 0] def /DeviceGray setcolorspace currentdict imageormask_sys }{ AGMCORE_report_unsupported_color_space AGMCORE_black_plate { /DataSource [ DataSource Decode BitsPerComponent currentdict /MultipleDataSources known {MultipleDataSources}{false} ifelse CSA map_csa 0 get /DeviceRGB eq{3}{1}ifelse /devicen_colorspace_dict AGMCORE_gget /TintTransform get dstDataStr srcDataStrs devn_alt_datasource /exec cvx ] cvx 0 () /SubFileDecode filter def /MultipleDataSources false def /Decode colorSpaceElemCnt [ exch {0 1} repeat ] def currentdict imageormask_sys } { gsave knockout_unitsq grestore currentdict consumeimagedata } ifelse } ifelse } { /devicen_colorspace_dict AGMCORE_gget /names_index known { Operator/imagemask ne{ MultipleDataSources { /DataSource [ DataSource devn_sep_datasource /exec cvx ] cvx def /MultipleDataSources false def }{ /DataSource /DataSource load dstDataStr srcDataStrs 0 get filter_devn def } ifelse invert_image_samples } if currentdict imageormask_sys }{ currentoverprint not Operator/imagemask eq and{ currentdict imageormask_sys }{ currentoverprint not { gsave knockout_unitsq grestore }if currentdict consumeimagedata }ifelse }ifelse }ifelse }{ currentdict imageormask }ifelse }ifelse cleartomark restore }ifelse end end end }def /imageormask_l2_overprint { currentdict currentcmykcolor add add add 0 eq{ currentdict consumeimagedata }{ level3{ currentcmykcolor /AGMIMG_k xdf /AGMIMG_y xdf /AGMIMG_m xdf /AGMIMG_c xdf Operator/imagemask eq{ [/DeviceN [ AGMIMG_c 0 ne {/Cyan} if AGMIMG_m 0 ne {/Magenta} if AGMIMG_y 0 ne {/Yellow} if AGMIMG_k 0 ne {/Black} if ] /DeviceCMYK {}] setcolorspace AGMIMG_c 0 ne {AGMIMG_c} if AGMIMG_m 0 ne {AGMIMG_m} if AGMIMG_y 0 ne {AGMIMG_y} if AGMIMG_k 0 ne {AGMIMG_k} if setcolor }{ /Decode [ Decode 0 get 255 mul Decode 1 get 255 mul ] def [/Indexed [ /DeviceN [ AGMIMG_c 0 ne {/Cyan} if AGMIMG_m 0 ne {/Magenta} if AGMIMG_y 0 ne {/Yellow} if AGMIMG_k 0 ne {/Black} if ] /DeviceCMYK { AGMIMG_k 0 eq {0} if AGMIMG_y 0 eq {0 exch} if AGMIMG_m 0 eq {0 3 1 roll} if AGMIMG_c 0 eq {0 4 1 roll} if } ] 255 { 255 div mark exch dup dup dup AGMIMG_k 0 ne{ /sep_tint AGMCORE_gget mul MappedCSA sep_proc_name exch pop load exec 4 1 roll pop pop pop counttomark 1 roll }{ pop }ifelse AGMIMG_y 0 ne{ /sep_tint AGMCORE_gget mul MappedCSA sep_proc_name exch pop load exec 4 2 roll pop pop pop counttomark 1 roll }{ pop }ifelse AGMIMG_m 0 ne{ /sep_tint AGMCORE_gget mul MappedCSA sep_proc_name exch pop load exec 4 3 roll pop pop pop counttomark 1 roll }{ pop }ifelse AGMIMG_c 0 ne{ /sep_tint AGMCORE_gget mul MappedCSA sep_proc_name exch pop load exec pop pop pop counttomark 1 roll }{ pop }ifelse counttomark 1 add -1 roll pop } ] setcolorspace }ifelse imageormask_sys }{ write_image_file{ currentcmykcolor 0 ne{ [/Separation /Black /DeviceGray {}] setcolorspace gsave /Black [{1 exch sub /sep_tint AGMCORE_gget mul} /exec cvx MappedCSA sep_proc_name cvx exch pop {4 1 roll pop pop pop 1 exch sub} /exec cvx] cvx modify_halftone_xfer Operator currentdict read_image_file grestore }if 0 ne{ [/Separation /Yellow /DeviceGray {}] setcolorspace gsave /Yellow [{1 exch sub /sep_tint AGMCORE_gget mul} /exec cvx MappedCSA sep_proc_name cvx exch pop {4 2 roll pop pop pop 1 exch sub} /exec cvx] cvx modify_halftone_xfer Operator currentdict read_image_file grestore }if 0 ne{ [/Separation /Magenta /DeviceGray {}] setcolorspace gsave /Magenta [{1 exch sub /sep_tint AGMCORE_gget mul} /exec cvx MappedCSA sep_proc_name cvx exch pop {4 3 roll pop pop pop 1 exch sub} /exec cvx] cvx modify_halftone_xfer Operator currentdict read_image_file grestore }if 0 ne{ [/Separation /Cyan /DeviceGray {}] setcolorspace gsave /Cyan [{1 exch sub /sep_tint AGMCORE_gget mul} /exec cvx MappedCSA sep_proc_name cvx exch pop {pop pop pop 1 exch sub} /exec cvx] cvx modify_halftone_xfer Operator currentdict read_image_file grestore } if close_image_file }{ imageormask }ifelse }ifelse }ifelse } def /indexed_imageormask { begin save mark currentdict AGMCORE_host_sep{ Operator/knockout eq{ /indexed_colorspace_dict AGMCORE_gget dup /CSA known { /CSA get map_csa }{ /CSD get get_csd /Names get } ifelse overprint_plate not{ knockout_unitsq }if }{ Indexed_DeviceN { /devicen_colorspace_dict AGMCORE_gget /names_index known { indexed_image_lev2_sep }{ currentoverprint not{ knockout_unitsq }if currentdict consumeimagedata } ifelse }{ AGMCORE_is_cmyk_sep{ Operator /imagemask eq{ imageormask_sys }{ level2{ indexed_image_lev2_sep }{ indexed_image_lev1_sep }ifelse }ifelse }{ currentoverprint not{ knockout_unitsq }if currentdict consumeimagedata }ifelse }ifelse }ifelse }{ level2{ Indexed_DeviceN { /indexed_colorspace_dict AGMCORE_gget begin CSD get_csd begin }{ /indexed_colorspace_dict AGMCORE_gget begin CSA map_csa 0 get /DeviceCMYK eq ps_level 3 ge and ps_version 3015.007 lt and { [/Indexed [/DeviceN [/Cyan /Magenta /Yellow /Black] /DeviceCMYK {}] HiVal Lookup] setcolorspace } if end } ifelse imageormask Indexed_DeviceN { end end } if }{ Operator /imagemask eq{ imageormask }{ indexed_imageormask_lev1 }ifelse }ifelse }ifelse cleartomark restore end }def /indexed_image_lev2_sep { /indexed_colorspace_dict AGMCORE_gget begin begin Indexed_DeviceN not { currentcolorspace dup 1 /DeviceGray put dup 3 currentcolorspace 2 get 1 add string 0 1 2 3 AGMCORE_get_ink_data 4 currentcolorspace 3 get length 1 sub { dup 4 idiv exch currentcolorspace 3 get exch get 255 exch sub 2 index 3 1 roll put }for put setcolorspace } if currentdict Operator /imagemask eq{ AGMIMG_&imagemask }{ use_mask { level3 {process_mask_L3 AGMIMG_&image}{masked_image_simulation}ifelse }{ AGMIMG_&image }ifelse }ifelse end end }def /OPIimage { dup type /dicttype ne{ 10 dict begin /DataSource xdf /ImageMatrix xdf /BitsPerComponent xdf /Height xdf /Width xdf /ImageType 1 def /Decode [0 1 def] currentdict end }if dup begin /NComponents 1 cdndf /MultipleDataSources false cdndf /SkipImageProc {false} cdndf /HostSepColorImage false cdndf /Decode [ 0 currentcolorspace 0 get /Indexed eq{ 2 BitsPerComponent exp 1 sub }{ 1 }ifelse ] cdndf /Operator /image cdndf end /sep_colorspace_dict AGMCORE_gget null eq{ imageormask }{ gsave dup begin invert_image_samples end sep_imageormask grestore }ifelse }def /cachemask_level2 { 3 dict begin /LZWEncode filter /WriteFilter xdf /readBuffer 256 string def /ReadFilter currentfile 0 (%EndMask) /SubFileDecode filter /ASCII85Decode filter /RunLengthDecode filter def { ReadFilter readBuffer readstring exch WriteFilter exch writestring not {exit} if }loop WriteFilter closefile end }def /cachemask_level3 { currentfile << /Filter [ /SubFileDecode /ASCII85Decode /RunLengthDecode ] /DecodeParms [ << /EODCount 0 /EODString (%EndMask) >> null null ] /Intent 1 >> /ReusableStreamDecode filter }def /spot_alias { /mapto_sep_imageormask { dup type /dicttype ne{ 12 dict begin /ImageType 1 def /DataSource xdf /ImageMatrix xdf /BitsPerComponent xdf /Height xdf /Width xdf /MultipleDataSources false def }{ begin }ifelse /Decode [/customcolor_tint AGMCORE_gget 0] def /Operator /image def /HostSepColorImage false def /SkipImageProc {false} def currentdict end sep_imageormask }bdf /customcolorimage { Adobe_AGM_Image/AGMIMG_colorAry xddf /customcolor_tint AGMCORE_gget bdict /Name AGMIMG_colorAry 4 get /CSA [ /DeviceCMYK ] /TintMethod /Subtractive /TintProc null /MappedCSA null /NComponents 4 /Components [ AGMIMG_colorAry aload pop pop ] edict setsepcolorspace mapto_sep_imageormask }ndf Adobe_AGM_Image/AGMIMG_&customcolorimage /customcolorimage load put /customcolorimage { Adobe_AGM_Image/AGMIMG_override false put dup 4 get map_alias{ /customcolor_tint AGMCORE_gget exch setsepcolorspace pop mapto_sep_imageormask }{ AGMIMG_&customcolorimage }ifelse }bdf }def /snap_to_device { 6 dict begin matrix currentmatrix dup 0 get 0 eq 1 index 3 get 0 eq and 1 index 1 get 0 eq 2 index 2 get 0 eq and or exch pop { 1 1 dtransform 0 gt exch 0 gt /AGMIMG_xSign? exch def /AGMIMG_ySign? exch def 0 0 transform AGMIMG_ySign? {floor 0.1 sub}{ceiling 0.1 add} ifelse exch AGMIMG_xSign? {floor 0.1 sub}{ceiling 0.1 add} ifelse exch itransform /AGMIMG_llY exch def /AGMIMG_llX exch def 1 1 transform AGMIMG_ySign? {ceiling 0.1 add}{floor 0.1 sub} ifelse exch AGMIMG_xSign? {ceiling 0.1 add}{floor 0.1 sub} ifelse exch itransform /AGMIMG_urY exch def /AGMIMG_urX exch def [AGMIMG_urX AGMIMG_llX sub 0 0 AGMIMG_urY AGMIMG_llY sub AGMIMG_llX AGMIMG_llY] concat }{ }ifelse end } def level2 not{ /colorbuf { 0 1 2 index length 1 sub{ dup 2 index exch get 255 exch sub 2 index 3 1 roll put }for }def /tint_image_to_color { begin Width Height BitsPerComponent ImageMatrix /DataSource load end Adobe_AGM_Image begin /AGMIMG_mbuf 0 string def /AGMIMG_ybuf 0 string def /AGMIMG_kbuf 0 string def { colorbuf dup length AGMIMG_mbuf length ne { dup length dup dup /AGMIMG_mbuf exch string def /AGMIMG_ybuf exch string def /AGMIMG_kbuf exch string def } if dup AGMIMG_mbuf copy AGMIMG_ybuf copy AGMIMG_kbuf copy pop } addprocs {AGMIMG_mbuf}{AGMIMG_ybuf}{AGMIMG_kbuf} true 4 colorimage end } def /sep_imageormask_lev1 { begin MappedCSA 0 get dup /DeviceRGB eq exch /DeviceCMYK eq or has_color not and{ { 255 mul round cvi GrayLookup exch get } currenttransfer addprocs settransfer currentdict imageormask }{ /sep_colorspace_dict AGMCORE_gget/Components known{ MappedCSA 0 get /DeviceCMYK eq{ Components aload pop }{ 0 0 0 Components aload pop 1 exch sub }ifelse Adobe_AGM_Image/AGMIMG_k xddf Adobe_AGM_Image/AGMIMG_y xddf Adobe_AGM_Image/AGMIMG_m xddf Adobe_AGM_Image/AGMIMG_c xddf AGMIMG_y 0.0 eq AGMIMG_m 0.0 eq and AGMIMG_c 0.0 eq and{ {AGMIMG_k mul 1 exch sub} currenttransfer addprocs settransfer currentdict imageormask }{ currentcolortransfer {AGMIMG_k mul 1 exch sub} exch addprocs 4 1 roll {AGMIMG_y mul 1 exch sub} exch addprocs 4 1 roll {AGMIMG_m mul 1 exch sub} exch addprocs 4 1 roll {AGMIMG_c mul 1 exch sub} exch addprocs 4 1 roll setcolortransfer currentdict tint_image_to_color }ifelse }{ MappedCSA 0 get /DeviceGray eq { {255 mul round cvi ColorLookup exch get 0 get} currenttransfer addprocs settransfer currentdict imageormask }{ MappedCSA 0 get /DeviceCMYK eq { currentcolortransfer {255 mul round cvi ColorLookup exch get 3 get 1 exch sub} exch addprocs 4 1 roll {255 mul round cvi ColorLookup exch get 2 get 1 exch sub} exch addprocs 4 1 roll {255 mul round cvi ColorLookup exch get 1 get 1 exch sub} exch addprocs 4 1 roll {255 mul round cvi ColorLookup exch get 0 get 1 exch sub} exch addprocs 4 1 roll setcolortransfer currentdict tint_image_to_color }{ currentcolortransfer {pop 1} exch addprocs 4 1 roll {255 mul round cvi ColorLookup exch get 2 get} exch addprocs 4 1 roll {255 mul round cvi ColorLookup exch get 1 get} exch addprocs 4 1 roll {255 mul round cvi ColorLookup exch get 0 get} exch addprocs 4 1 roll setcolortransfer currentdict tint_image_to_color }ifelse }ifelse }ifelse }ifelse end }def /sep_image_lev1_sep { begin /sep_colorspace_dict AGMCORE_gget/Components known{ Components aload pop Adobe_AGM_Image/AGMIMG_k xddf Adobe_AGM_Image/AGMIMG_y xddf Adobe_AGM_Image/AGMIMG_m xddf Adobe_AGM_Image/AGMIMG_c xddf {AGMIMG_c mul 1 exch sub} {AGMIMG_m mul 1 exch sub} {AGMIMG_y mul 1 exch sub} {AGMIMG_k mul 1 exch sub} }{ {255 mul round cvi ColorLookup exch get 0 get 1 exch sub} {255 mul round cvi ColorLookup exch get 1 get 1 exch sub} {255 mul round cvi ColorLookup exch get 2 get 1 exch sub} {255 mul round cvi ColorLookup exch get 3 get 1 exch sub} }ifelse AGMCORE_get_ink_data currenttransfer addprocs settransfer currentdict imageormask_sys end }def /indexed_imageormask_lev1 { /indexed_colorspace_dict AGMCORE_gget begin begin currentdict MappedCSA 0 get dup /DeviceRGB eq exch /DeviceCMYK eq or has_color not and{ {HiVal mul round cvi GrayLookup exch get HiVal div} currenttransfer addprocs settransfer imageormask }{ MappedCSA 0 get /DeviceGray eq { {HiVal mul round cvi Lookup exch get HiVal div} currenttransfer addprocs settransfer imageormask }{ MappedCSA 0 get /DeviceCMYK eq { currentcolortransfer {4 mul HiVal mul round cvi 3 add Lookup exch get HiVal div 1 exch sub} exch addprocs 4 1 roll {4 mul HiVal mul round cvi 2 add Lookup exch get HiVal div 1 exch sub} exch addprocs 4 1 roll {4 mul HiVal mul round cvi 1 add Lookup exch get HiVal div 1 exch sub} exch addprocs 4 1 roll {4 mul HiVal mul round cvi Lookup exch get HiVal div 1 exch sub} exch addprocs 4 1 roll setcolortransfer tint_image_to_color }{ currentcolortransfer {pop 1} exch addprocs 4 1 roll {3 mul HiVal mul round cvi 2 add Lookup exch get HiVal div} exch addprocs 4 1 roll {3 mul HiVal mul round cvi 1 add Lookup exch get HiVal div} exch addprocs 4 1 roll {3 mul HiVal mul round cvi Lookup exch get HiVal div} exch addprocs 4 1 roll setcolortransfer tint_image_to_color }ifelse }ifelse }ifelse end end }def /indexed_image_lev1_sep { /indexed_colorspace_dict AGMCORE_gget begin begin {4 mul HiVal mul round cvi Lookup exch get HiVal div 1 exch sub} {4 mul HiVal mul round cvi 1 add Lookup exch get HiVal div 1 exch sub} {4 mul HiVal mul round cvi 2 add Lookup exch get HiVal div 1 exch sub} {4 mul HiVal mul round cvi 3 add Lookup exch get HiVal div 1 exch sub} AGMCORE_get_ink_data currenttransfer addprocs settransfer currentdict imageormask_sys end end }def }if end systemdict /setpacking known { setpacking } if %%EndResource currentdict Adobe_AGM_Utils eq {end} if %%EndProlog %%BeginSetup Adobe_AGM_Utils begin 2 2010 Adobe_AGM_Core/doc_setup get exec Adobe_CoolType_Core/doc_setup get exec Adobe_AGM_Image/doc_setup get exec currentdict Adobe_AGM_Utils eq {end} if %%EndSetup %%Page: Fig1.eps 1 %%EndPageComments %%BeginPageSetup /currentdistillerparams where {pop currentdistillerparams /CoreDistVersion get 5000 lt} {true} ifelse { userdict /AI11_PDFMark5 /cleartomark load put 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80.3316 cv 103.199 80.3316 105.117 77.5801 105.117 74.19 cv 105.117 73.9854 105.109 73.7808 105.095 73.5767 cv @ grestore % PSGState 4.6062 lw 1 lc 1 lj 10 ml 153.266 50.6797 mo 153.266 50.6797 li 153.266 54.6138 mo 153.266 54.6138 li 153.266 60.5166 mo 153.266 60.5166 li 153.266 70.3531 mo 153.266 70.3531 li 153.266 90.0264 mo 153.266 90.0264 li 153.266 149.049 mo 153.266 149.049 li @ gsave % PSGState 15.105 199.903 mo 245.418 199.903 li 245.418 15.6514 li 15.105 15.6514 li 15.105 199.903 li clp 0.5 lw 176.272 199.903 mo 176.272 15.6514 li 157.545 50.6797 mo 157.545 47.2896 155.627 44.5381 153.265 44.5381 cv 150.902 44.5381 148.984 47.2896 148.984 50.6797 cv 148.984 54.0699 150.902 56.8213 153.265 56.8213 cv 155.627 56.8213 157.545 54.0699 157.545 50.6797 cv 157.545 50.4751 157.537 50.2706 157.523 50.0665 cv 157.545 54.6133 mo 157.545 51.2232 155.627 48.4717 153.265 48.4717 cv 150.902 48.4717 148.984 51.2232 148.984 54.6133 cv 148.984 58.0035 150.902 60.7554 153.265 60.7554 cv 155.627 60.7554 157.545 58.0035 157.545 54.6133 cv 157.545 54.4087 157.537 54.2042 157.523 54.0005 cv 157.545 60.5162 mo 157.545 57.126 155.627 54.3746 153.265 54.3746 cv 150.902 54.3746 148.984 57.126 148.984 60.5162 cv 148.984 63.9063 150.902 66.6578 153.265 66.6578 cv 155.627 66.6578 157.545 63.9063 157.545 60.5162 cv 157.545 60.3116 157.537 60.107 157.523 59.9029 cv @ 4.6062 lw 176.272 58.0933 mo 176.272 58.0933 li 176.272 63.5103 mo 176.272 63.5103 li 176.272 71.6382 mo 176.272 71.6382 li 176.272 85.1807 mo 176.272 85.1807 li 176.272 112.268 mo 176.272 112.268 li 176.272 193.532 mo 176.272 193.532 li @ grestore % PSGState 0.5 lw 20.5884 184.547 mo 239.934 184.547 li 20.5884 31.0064 mo 171.858 31.0064 li 171.858 31.0064 mo 239.934 31.0064 li @ [3 3 3 3 3 3 ] 0 dsh 160.923 53.0323 mo 167.478 55.1202 li 176.872 58.3033 li 185.914 61.5528 li 194.608 64.8511 li 203.869 68.5474 li 212.778 72.2876 li 222.253 76.4585 li 231.38 80.6641 li 239.934 84.7774 li @ 159.257 56.7056 mo 167.728 59.9429 li 177.122 63.7618 li 186.164 67.6631 li 194.858 71.6197 li 204.119 76.0582 li 213.028 80.5445 li 222.503 85.5494 li 231.63 90.5977 li 240.184 95.5313 li @ 156.166 61.8492 mo 158.649 62.96 li 167.478 67.1773 li 176.872 71.9517 li 185.914 76.8272 li 194.608 81.7745 li 203.869 87.3204 li 212.778 92.9283 li 222.253 99.1836 li 231.38 105.495 li 239.934 111.663 li @ 155.285 71.6036 mo 158.649 73.6119 li 167.478 79.2339 li 176.872 85.5997 li 185.914 92.1016 li 194.608 98.6954 li 203.869 106.091 li 212.778 113.569 li 222.253 121.911 li 231.38 130.325 li 239.934 138.549 li @ 144.077 82.1685 mo 149.225 86.4507 li 158.399 94.6661 li 167.228 103.101 li 176.622 112.647 li 185.664 122.399 li 194.358 132.293 li 203.619 143.385 li 212.528 154.6 li 222.003 167.114 li 231.13 179.735 li 239.684 192.071 li @ 143.999 133.41 mo 149.475 128.852 li 158.649 120.637 li 167.478 112.204 li 176.872 102.657 li 185.914 92.9053 li 194.608 83.0113 li 203.869 71.9195 li 212.778 60.7032 li 222.253 48.19 li 231.38 35.5689 li 239.934 23.2334 li @ 151.826 146.265 mo 158.649 142.192 li 167.478 136.569 li 176.872 130.204 li 185.914 123.702 li 194.608 117.108 li 203.869 109.713 li 212.778 102.235 li 222.253 93.8921 li 231.38 85.4791 li 239.934 77.2544 li @ 156.648 153.463 mo 159.149 152.344 li 167.978 148.127 li 177.372 143.352 li 186.414 138.477 li 195.108 133.53 li 204.369 127.983 li 213.278 122.376 li 222.753 116.12 li 231.88 109.809 li 240.434 103.642 li @ 158.68 159.128 mo 167.228 155.86 li 176.622 152.042 li 185.664 148.141 li 194.358 144.184 li 203.619 139.747 li 212.528 135.258 li 222.003 130.254 li 231.13 125.206 li 239.684 120.272 li @ 161.109 162.541 mo 167.728 160.434 li 177.122 157.25 li 186.164 154 li 194.858 150.704 li 204.119 147.006 li 213.028 143.266 li 222.503 139.094 li 231.63 134.889 li 240.184 130.776 li @ /1 [/DeviceCMYK] add_csa 0 0 0 1 cmyk %ADOBeginSubsetFont: CMR10 Initial %ADOt1write: (1.0.21) %%Copyright: Copyright 2005 Adobe System Incorporated. All rights reserved. 13 dict dup begin /FontType 1 def /FontName /CMR10 def /FontInfo 6 dict dup begin /Notice (Computer Modern fonts were designed by Donald E. Knuth) def /Weight (Medium) def /ItalicAngle 0 def end def /PaintType 0 def /FontMatrix [0.001 0 0 0.001 0 0] def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 49 /one put def /UniqueID 5000793 def /FontBBox {-251 -250 1009 969} def end systemdict begin dup /Private 13 dict dup begin /|- {def} def /| {put} def /BlueValues [-22 0 683 705 431 448 666 677] def /OtherBlues [-206 -194] def /BlueScale 0.04379 def /StdHW [31] def /StdVW [69] def /StemSnapH [22 31] def /StemSnapV [69 89] def /password 5839 def /MinFeature {16 16} def /OtherSubrs[{}{}{}{systemdict/internaldict known not{pop 3}{1183615869 systemdict/internaldict get exec dup/startlock known{/startlock get exec}{dup /strtlck known{/strtlck get exec}{pop 3}ifelse}ifelse}ifelse}executeonly]def /Subrs 5 array dup 0 <1C60D8A8CC31FE2BF6E07AA3E541E2> | dup 1 <1C60D8A8C9C3D06D9E> | dup 2 <1C60D8A8C9C202D79A> | dup 3 <1C60D8A849> | dup 4 <1C60D8A8CC3674F41144B13B77> | def put dup /CharStrings 2 dict dup begin /one <1C60D8A8C9B7A73DC579B9CE13A4EA8C203AFC890ABD6F58341B006CF1 BDD8FED3A7238E01F751FEAC75885229C293891E5636AD630D9C884528B6FEF0 0728A740ED77D054B4743ECA5E3947520FEF6B23D548765D11> |- /.notdef <1C60D8A8C9B08A959E2F69652E8B8F> |- end put end dup /FontName get exch definefont pop end %ADOEndSubsetFont /KBAMKA+CMR10 /CMR10 findfont def /KBAMKA+CMR10*1 [ 49{/.notdef}repeat /one 206{/.notdef}repeat ] KBAMKA+CMR10 nfnt KBAMKA+CMR10*1 [10.9091 0 -0 -10.9091 0 0 ]mfnt sfnt 8.77048 30.7986 mov (1) sh %ADOBeginSubsetFont: CMSY10 Initial %ADOt1write: (1.0.21) %%Copyright: Copyright 2005 Adobe System Incorporated. All rights reserved. 13 dict dup begin /FontType 1 def /FontName /CMSY10 def /FontInfo 6 dict dup begin /Notice (Computer Modern fonts were designed by Donald E. Knuth) def /Weight (Medium) def /ItalicAngle -14.035 def end def /PaintType 0 def /FontMatrix [0.001 0 0 0.001 0 0] def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 0 /minus put dup 161 /minus put def /UniqueID 5000820 def /FontBBox {-29 -960 1116 775} def end systemdict begin dup /Private 12 dict dup begin /|- {def} def /| {put} def /BlueValues [-22 0 683 705] def /OtherBlues [-124 -119] def /BlueScale 0.04379 def /StdHW [40] def /StdVW [85] def /StemSnapH [40 55] def /password 5839 def /MinFeature {16 16} def /OtherSubrs[{}{}{}{systemdict/internaldict known not{pop 3}{1183615869 systemdict/internaldict get exec dup/startlock known{/startlock get exec}{dup /strtlck known{/strtlck get exec}{pop 3}ifelse}ifelse}ifelse}executeonly]def /Subrs 5 array dup 0 <1C60D8A8CC31FE2BF6E07AA3E541E2> | dup 1 <1C60D8A8C9C3D06D9E> | dup 2 <1C60D8A8C9C202D79A> | dup 3 <1C60D8A849> | dup 4 <1C60D8A8CC3674F41144B13B77> | def put dup /CharStrings 2 dict dup begin /minus <1C60D8A8C9B08A946182837629008DF7702985522C1BEB432204C2EF 9CAB07AB654895DD8804EF7ED97DE3E2616CBB2FB21BE3D9> |- /.notdef <1C60D8A8C9C4A637> |- end put end dup /FontName get exch definefont pop end %ADOEndSubsetFont /JBAMKA+CMSY10 /CMSY10 findfont def /JBAMKA+CMSY10*1 [ 161{/.notdef}repeat /minus 94{/.notdef}repeat ] JBAMKA+CMSY10 nfnt JBAMKA+CMSY10*1 [10.9091 0 -0 -10.9091 0 0 ]mfnt sfnt -3.05176e-05 184.299 mov (\241) sh KBAMKA+CMR10*1 [10.9091 0 -0 -10.9091 0 0 ]mfnt sfnt 8.52048 184.299 mov (1) sh %ADOBeginSubsetFont: CMR10 AddGlyphs %ADOt1write: (1.0.21) %%Copyright: Copyright 2005 Adobe System Incorporated. All rights reserved. systemdict begin KBAMKA+CMR10 dup /Private get dup rcheck {begin true}{pop false}ifelse exch /CharStrings get begin systemdict /gcheck known {currentglobal currentdict gcheck setglobal} if /zero <1C60D8A8C9B7A73D3B2D32309B1F5D5A32FC3614834F8BC61B6EB92C1 2484BD76628737DA40CF9DA1C97CCDAFB1D1B732C642F74A7C41B7D3AC6DAF8D 1E760692B6EBD2417EF1893A4AA0B1CF049D4C54D830CEC073A9153D451FAD42 892B0930AEE4FE18588336BFDAD60D8A4F4CFFED76F103FB9BBD8A33EFBA3F18 232B88D88FE54E17260FA3E2CC29DEC0CB72B88DC816FF5> |- systemdict /gcheck known {setglobal} if end {end} if end KBAMKA+CMR10 /Encoding get dup 48 /zero put pop %ADOEndSubsetFont /KBAMKA+CMR10*2 [ 48{/.notdef}repeat /zero 207{/.notdef}repeat ] KBAMKA+CMR10 nfnt KBAMKA+CMR10*2 [10.9091 0 -0 -10.9091 0 0 ]mfnt sfnt 8.24997 107.819 mov (0) sh 4.6062 lw [] 0 dsh 26.8365 82.94 mo 26.8365 82.94 li 0 0 0 1 cmyk @ 0.5 lw 31.1163 82.94 mo 31.1163 79.5499 29.1988 76.7984 26.8365 76.7984 cv 24.4737 76.7984 22.5562 79.5499 22.5562 82.94 cv 22.5562 86.3301 24.4737 89.0816 26.8365 89.0816 cv 29.1988 89.0816 31.1163 86.3301 31.1163 82.94 cv 31.1163 82.7354 31.1089 82.5308 31.0948 82.3267 cv @ 4.6062 lw 26.73 65.8868 mo 26.73 65.8868 li @ 0 0 0 1 cmyk %ADOBeginSubsetFont: CMMI10 Initial %ADOt1write: (1.0.21) %%Copyright: Copyright 2005 Adobe System Incorporated. All rights reserved. 13 dict dup begin /FontType 1 def /FontName /CMMI10 def /FontInfo 6 dict dup begin /Notice (Computer Modern fonts were designed by Donald E. Knuth) def /Weight (Medium) def /ItalicAngle -14.04 def end def /PaintType 0 def /FontMatrix [0.001 0 0 0.001 0 0] def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 97 /a put def /UniqueID 5000785 def /FontBBox {-32 -250 1048 750} def end systemdict begin dup /Private 12 dict dup begin /|- {def} def /| {put} def /BlueValues [-22 0 683 705 431 442 453 466] def /OtherBlues [-205 -194] def /BlueScale 0.04379 def /StdHW [31] def /StdVW [72] def /StemSnapH [25 31] def /password 5839 def /MinFeature {16 16} def /OtherSubrs[{}{}{}{systemdict/internaldict known not{pop 3}{1183615869 systemdict/internaldict get exec dup/startlock known{/startlock get exec}{dup /strtlck known{/strtlck get exec}{pop 3}ifelse}ifelse}ifelse}executeonly]def /Subrs 5 array dup 0 <1C60D8A8CC31FE2BF6E07AA3E541E2> | dup 1 <1C60D8A8C9C3D06D9E> | dup 2 <1C60D8A8C9C202D79A> | dup 3 <1C60D8A849> | dup 4 <1C60D8A8CC3674F41144B13B77> | def put dup /CharStrings 2 dict dup begin /a <1C60D8A8C9B08A95D27357321AC68CEEC834EC94D10EA3E78C726CA3177E 8717935904A55FA18724F87A61CF583DB007EF637959D1CFBEDB886F71F9E399 E771719DAB5DFBFA1453DC92615AAD6C08554ECEA3914E48960AE92ECE2EC3A5 A57250C3690174D0C8C6D62988AAFC46EBCB9B14328A0DA0BA5405BFDDC89026 90734F8B7B3FE0611A1228263A48B9115BFCE5D96240A0111AC84BB7F4FC90EB A1E3D508FDFEBB972EC1693F628A373424F66611F506> |- /.notdef <1C60D8A8C9C4A637> |- end put end dup /FontName get exch definefont pop end %ADOEndSubsetFont /IBAMKA+CMMI10 /CMMI10 findfont def /IBAMKA+CMMI10*1 [ 97{/.notdef}repeat /a 158{/.notdef}repeat ] IBAMKA+CMMI10 nfnt IBAMKA+CMMI10*1 [10.9091 0 -0 -10.9091 0 0 ]mfnt sfnt 179.999 13.8591 mov (a) sh %ADOBeginSubsetFont: CMSY8 Initial %ADOt1write: (1.0.21) %%Copyright: Copyright 2005 Adobe System Incorporated. All rights reserved. 13 dict dup begin /FontType 1 def /FontName /CMSY8 def /FontInfo 6 dict dup begin /Notice (Computer Modern fonts were designed by Donald E. Knuth) def /Weight (Medium) def /ItalicAngle -14.035 def end def /PaintType 0 def /FontMatrix [0.001 0 0 0.001 0 0] def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 0 /minus put dup 161 /minus put def /UniqueID 5000818 def /FontBBox {-30 -955 1185 779} def end systemdict begin dup /Private 11 dict dup begin /|- {def} def /| {put} def /BlueValues [-24 0 683 704] def /OtherBlues [-126 -118] def /StdHW [46] def /StdVW [89] def /StemSnapH [46 61] def /password 5839 def /MinFeature {16 16} def /OtherSubrs[{}{}{}{systemdict/internaldict known not{pop 3}{1183615869 systemdict/internaldict get exec dup/startlock known{/startlock get exec}{dup /strtlck known{/strtlck get exec}{pop 3}ifelse}ifelse}ifelse}executeonly]def /Subrs 5 array dup 0 <1C60D8A8CC31FE2BF6E07AA3E541E2> | dup 1 <1C60D8A8C9C3D06D9E> | dup 2 <1C60D8A8C9C202D79A> | dup 3 <1C60D8A849> | dup 4 <1C60D8A8CC3674F41144B13B77> | def put dup /CharStrings 2 dict dup begin /minus <1C60D8A8C9B08A953C5C2645FEB08D0F605D4538696964B7A1C2728D EF7C170C67D122DB85A4226362FADE57C92E833FF0895D3F> |- /.notdef <1C60D8A8C9C4A637> |- end put end dup /FontName get exch definefont pop end %ADOEndSubsetFont /HBAMKA+CMSY8 /CMSY8 findfont def /HBAMKA+CMSY8*1 [ 161{/.notdef}repeat /minus 94{/.notdef}repeat ] HBAMKA+CMSY8 nfnt HBAMKA+CMSY8*1 [7.97009 0 -0 -7.97009 0 0 ]mfnt sfnt 185.76 9.89957 mov (\241) sh %ADOBeginSubsetFont: CMMI8 Initial %ADOt1write: (1.0.21) %%Copyright: Copyright 2005 Adobe System Incorporated. All rights reserved. 13 dict dup begin /FontType 1 def /FontName /CMMI8 def /FontInfo 6 dict dup begin /Notice (Computer Modern fonts were designed by Donald E. Knuth) def /Weight (Medium) def /ItalicAngle -14.04 def end def /PaintType 0 def /FontMatrix [0.001 0 0 0.001 0 0] def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 23 /nu put dup 186 /nu put def /UniqueID 5000783 def /FontBBox {-24 -250 1110 750} def end systemdict begin dup /Private 12 dict dup begin /|- {def} def /| {put} def /BlueValues [-21 0 683 704 431 441 452 463] def /OtherBlues [-204 -194] def /BlueScale 0.04379 def /StdHW [32] def /StdVW [78] def /StemSnapH [28 32] def /password 5839 def /MinFeature {16 16} def /OtherSubrs[{}{}{}{systemdict/internaldict known not{pop 3}{1183615869 systemdict/internaldict get exec dup/startlock known{/startlock get exec}{dup /strtlck known{/strtlck get exec}{pop 3}ifelse}ifelse}ifelse}executeonly]def /Subrs 5 array dup 0 <1C60D8A8CC31FE2BF6E07AA3E541E2> | dup 1 <1C60D8A8C9C3D06D9E> | dup 2 <1C60D8A8C9C202D79A> | dup 3 <1C60D8A849> | dup 4 <1C60D8A8CC3674F41144B13B77> | def put dup /CharStrings 2 dict dup begin /nu <1C60D8A8C9B08A95D06E94FC9978DEBC903E9D70BD633B21FCBF60628AA 4CE999B5210EB5D8491B95CB1755E7184C59FECE0377992D32FA0FC53AD670C5 4A62A355EFC6D2194BBD21B1103644AB36B06DF72817D802DC46A651EBE89E6B E1BF8A2782607A93A87EA2111DF9522CF2BA5E63695B16CE10EBD49280475AB0 BA93F97F9BB5C02B6D37BDC8E124E> |- /.notdef <1C60D8A8C9C4A637> |- end put end dup /FontName get exch definefont pop end %ADOEndSubsetFont /GBAMKA+CMMI8 /CMMI8 findfont def /GBAMKA+CMMI8*1 [ 186{/.notdef}repeat /nu 69{/.notdef}repeat ] GBAMKA+CMMI8 nfnt GBAMKA+CMMI8*1 [7.97009 0 -0 -7.97009 0 0 ]mfnt sfnt 185.76 16.4994 mov (\272) sh %ADOBeginSubsetFont: CMU10 Initial %ADOt1write: (1.0.21) %%Copyright: Copyright 2005 Adobe System Incorporated. All rights reserved. 13 dict dup begin /FontType 1 def /FontName /CMU10 def /FontInfo 6 dict dup begin /Notice (Computer Modern fonts were designed by Donald E. Knuth) def /Weight (Medium) def /ItalicAngle 0 def end def /PaintType 0 def /FontMatrix [0.001 0 0 0.001 0 0] def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 61 /equal put def /UniqueID 5000834 def /FontBBox {-14 -250 1054 750} def end systemdict begin dup /Private 13 dict dup begin /|- {def} def /| {put} def /BlueValues [-22 0 683 705 431 442 666 667] def /OtherBlues [-205 -194] def /BlueScale 0.04379 def /StdHW [31] def /StdVW [69] def /StemSnapH [22 31] def /StemSnapV [69 89] def /password 5839 def /MinFeature {16 16} def /OtherSubrs[{}{}{}{systemdict/internaldict known not{pop 3}{1183615869 systemdict/internaldict get exec dup/startlock known{/startlock get exec}{dup /strtlck known{/strtlck get exec}{pop 3}ifelse}ifelse}ifelse}executeonly]def /Subrs 5 array dup 0 <1C60D8A8CC31FE2BF6E07AA3E541E2> | dup 1 <1C60D8A8C9C3D06D9E> | dup 2 <1C60D8A8C9C202D79A> | dup 3 <1C60D8A849> | dup 4 <1C60D8A8CC3674F41144B13B77> | def put dup /CharStrings 2 dict dup begin /equal <1C60D8A8C9B08A940B724A74A01E6B65DACC67885061D6BD70C26580 5B54EBC0DEB69223B77FFDD18943E0C35BBB5AEE62EE9B6668BD957628C95649 AB620C9E62F5549F68ACF5E27D89D2799ACB3957248A7DEA38> |- /.notdef <1C60D8A8C9B08A958B2129D6E976E4> |- end put end dup /FontName get exch definefont pop end %ADOEndSubsetFont /FBAMKA+CMU10 /CMU10 findfont def /FBAMKA+CMU10*1 [ 61{/.notdef}repeat /equal 194{/.notdef}repeat ] FBAMKA+CMU10 nfnt FBAMKA+CMU10*1 [10.9091 0 -0 -10.9091 0 0 ]mfnt sfnt 195.249 13.1492 mov (=) sh %ADOBeginSubsetFont: CMB10 Initial %ADOt1write: (1.0.21) %%Copyright: Copyright 2005 Adobe System Incorporated. All rights reserved. 13 dict dup begin /FontType 1 def /FontName /CMB10 def /FontInfo 6 dict dup begin /Notice (Computer Modern fonts were designed by Donald E. Knuth) def /Weight (Bold) def /ItalicAngle 0 def end def /PaintType 0 def /FontMatrix [0.001 0 0 0.001 0 0] def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 160 /space put def /UniqueID 5000761 def /FontBBox {-62 -250 1011 750} def end systemdict begin dup /Private 14 dict dup begin /|- {def} def /| {put} def /BlueValues [-11 0 686 697 444 453 655 676] def /OtherBlues [-201 -194] def /BlueScale 0.04379 def /StdHW [47] def /StdVW [108] def /StemSnapH [40 47] def /StemSnapV [108 142] def /ForceBold true def /password 5839 def /MinFeature {16 16} def /OtherSubrs[{}{}{}{systemdict/internaldict known not{pop 3}{1183615869 systemdict/internaldict get exec dup/startlock known{/startlock get exec}{dup /strtlck known{/strtlck get exec}{pop 3}ifelse}ifelse}ifelse}executeonly]def /Subrs 5 array dup 0 <1C60D8A8CC31FE2BF6E07AA3E541E2> | dup 1 <1C60D8A8C9C3D06D9E> | dup 2 <1C60D8A8C9C202D79A> | dup 3 <1C60D8A849> | dup 4 <1C60D8A8CC3674F41144B13B77> | def put dup /CharStrings 2 dict dup begin /space <1C60D8A8C9B08A959E2F69652E8B8F> |- /.notdef <1C60D8A8C9B08A959E2F69652E8B8F> |- end put end dup /FontName get exch definefont pop end %ADOEndSubsetFont /EBAMKA+CMB10 /CMB10 findfont def /EBAMKA+CMB10*1 [ 160{/.notdef}repeat /space 95{/.notdef}repeat ] EBAMKA+CMB10 nfnt EBAMKA+CMB10*1 [10.9091 0 -0 -10.9091 0 0 ]mfnt sfnt 204.341 13.1492 mov (\240) sh %ADOBeginSubsetFont: CMMI10 AddGlyphs %ADOt1write: (1.0.21) %%Copyright: Copyright 2005 Adobe System Incorporated. All rights reserved. systemdict begin IBAMKA+CMMI10 dup /Private get dup rcheck {begin true}{pop false}ifelse exch /CharStrings get begin systemdict /gcheck known {currentglobal currentdict gcheck setglobal} if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|- systemdict /gcheck known {setglobal} if end {end} if end IBAMKA+CMMI10 /Encoding get dup 69 /E put pop %ADOEndSubsetFont /IBAMKA+CMMI10*2 [ 69{/.notdef}repeat /E 186{/.notdef}repeat ] IBAMKA+CMMI10 nfnt IBAMKA+CMMI10*2 [10.9091 0 -0 -10.9091 0 0 ]mfnt sfnt 207.977 13.1492 mov (E) sh HBAMKA+CMSY8*1 [7.97009 0 -0 -7.97009 0 0 ]mfnt sfnt 216.89 10.4688 mov (\241) sh GBAMKA+CMMI8*1 [7.97009 0 -0 -7.97009 0 0 ]mfnt sfnt 216.29 16.2689 mov (\272) sh %ADOBeginSubsetFont: CMU10 AddGlyphs %ADOt1write: (1.0.21) %%Copyright: Copyright 2005 Adobe System Incorporated. All rights reserved. systemdict begin FBAMKA+CMU10 dup /Private get dup rcheck {begin true}{pop false}ifelse exch /CharStrings get begin systemdict /gcheck known {currentglobal currentdict gcheck setglobal} if /comma <1C60D8A8C9B08A959E2F69652E8B7A481644D9382E8EA7D79EFD1140 6C1F8DF80F1118C5A89C90C578B2F92AEE59731D4B3DC8915C07BC1BA50E4A3C BB3AA30D9A233AEF8BBB9B96402C5C9CE63D0576A057AF> |- systemdict /gcheck known {setglobal} if end {end} if end FBAMKA+CMU10 /Encoding get dup 44 /comma put pop %ADOEndSubsetFont /FBAMKA+CMU10*2 [ 44{/.notdef}repeat /comma 211{/.notdef}repeat ] FBAMKA+CMU10 nfnt FBAMKA+CMU10*2 [7.97009 0 -0 -7.97009 0 0 ]mfnt sfnt 220.493 16.2689 mov (,) sh %ADOBeginSubsetFont: CMR8 Initial %ADOt1write: (1.0.21) %%Copyright: Copyright 2005 Adobe System Incorporated. All rights reserved. 13 dict dup begin /FontType 1 def /FontName /CMR8 def /FontInfo 6 dict dup begin /Notice (Computer Modern fonts were designed by Donald E. Knuth) def /Weight (Medium) def /ItalicAngle 0 def end def /PaintType 0 def /FontMatrix [0.001 0 0 0.001 0 0] def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 49 /one put def /UniqueID 5000791 def /FontBBox {-36 -250 1070 750} def end systemdict begin dup /Private 13 dict dup begin /|- {def} def /| {put} def /BlueValues [-21 0 683 704 431 446 665 675] def /OtherBlues [-205 -194] def /BlueScale 0.04379 def /StdHW [33] def /StdVW [76] def /StemSnapH [28 33] def /StemSnapV [76 92] def /password 5839 def /MinFeature {16 16} def /OtherSubrs[{}{}{}{systemdict/internaldict known not{pop 3}{1183615869 systemdict/internaldict get exec dup/startlock known{/startlock get exec}{dup /strtlck known{/strtlck get exec}{pop 3}ifelse}ifelse}ifelse}executeonly]def /Subrs 5 array dup 0 <1C60D8A8CC31FE2BF6E07AA3E541E2> | dup 1 <1C60D8A8C9C3D06D9E> | dup 2 <1C60D8A8C9C202D79A> | dup 3 <1C60D8A849> | dup 4 <1C60D8A8CC3674F41144B13B77> | def put dup /CharStrings 2 dict dup begin /one <1C60D8A8C9B08A95D352586DE3151F73D080760F4072C70D020EFA88EA 0F309929E0C1BCC8EC8F7FDBEE4B0E2C4C76152DA2BAA2DA44AB41A567913983 670E36D005ED029A73DB21DCC5285836A93718DC3EDE9579CC5E30D6DE86A9> |- /.notdef <1C60D8A8C9B08A9596FE72ACE143EF> |- end put end dup /FontName get exch definefont pop end %ADOEndSubsetFont /DBAMKA+CMR8 /CMR8 findfont def /DBAMKA+CMR8*1 [ 49{/.notdef}repeat /one 206{/.notdef}repeat ] DBAMKA+CMR8 nfnt DBAMKA+CMR8*1 [7.97009 0 -0 -7.97009 0 0 ]mfnt sfnt 222.889 16.2689 mov (1) sh IBAMKA+CMMI10*1 [10.9091 0 -0 -10.9091 0 0 ]mfnt sfnt 181.499 204.859 mov (a) sh GBAMKA+CMMI8*1 [7.97009 0 -0 -7.97009 0 0 ]mfnt sfnt 187.26 207.499 mov (\272) sh FBAMKA+CMU10*1 [10.9091 0 -0 -10.9091 0 0 ]mfnt sfnt 196.749 204.149 mov (=) sh EBAMKA+CMB10*1 [10.9091 0 -0 -10.9091 0 0 ]mfnt sfnt 205.841 204.149 mov (\240) sh IBAMKA+CMMI10*2 [10.9091 0 -0 -10.9091 0 0 ]mfnt sfnt 209.477 204.149 mov (E) sh GBAMKA+CMMI8*1 [7.97009 0 -0 -7.97009 0 0 ]mfnt sfnt 217.79 207.269 mov (\272) sh FBAMKA+CMU10*2 [7.97009 0 -0 -7.97009 0 0 ]mfnt sfnt 221.993 207.269 mov (,) sh DBAMKA+CMR8*1 [7.97009 0 -0 -7.97009 0 0 ]mfnt sfnt 224.389 207.269 mov (1) sh %ADOBeginSubsetFont: CMR8 AddGlyphs %ADOt1write: (1.0.21) %%Copyright: Copyright 2005 Adobe System Incorporated. All rights reserved. systemdict begin DBAMKA+CMR8 dup /Private get dup rcheck {begin true}{pop false}ifelse exch /CharStrings get begin systemdict /gcheck known {currentglobal currentdict gcheck setglobal} if /plus <1C60D8A8C9B08A953C5C2645FEB0592A407400980FD7A59E2167CE1DE 33176B12FC1FAF360EF2460F967B5A481F98E02E17D4B34DE6789F5AA3C3FBEA 9C80C3EFCF33C363CED5B321C18A167BECB36FBF855506545E0B8445277D7041 C9B72410C> |- systemdict /gcheck known {setglobal} if end {end} if end DBAMKA+CMR8 /Encoding get dup 43 /plus put pop %ADOEndSubsetFont /DBAMKA+CMR8*2 [ 43{/.notdef}repeat /plus 212{/.notdef}repeat ] DBAMKA+CMR8 nfnt DBAMKA+CMR8*2 [7.97009 0 -0 -7.97009 0 0 ]mfnt sfnt 187.26 201.419 mov (+) sh 219.01 200.169 mov (+) sh IBAMKA+CMMI10*2 [10.9091 0 -0 -10.9091 0 0 ]mfnt sfnt 221.999 164.478 mov (E) sh DBAMKA+CMR8*2 [7.97009 0 -0 -7.97009 0 0 ]mfnt sfnt 230.64 159.919 mov (+) sh GBAMKA+CMMI8*1 [7.97009 0 -0 -7.97009 0 0 ]mfnt sfnt 230.04 167.599 mov (\272) sh FBAMKA+CMU10*2 [7.97009 0 -0 -7.97009 0 0 ]mfnt sfnt 234.243 167.599 mov (,) sh %ADOBeginSubsetFont: CMR8 AddGlyphs %ADOt1write: (1.0.21) %%Copyright: Copyright 2005 Adobe System Incorporated. All rights reserved. systemdict begin DBAMKA+CMR8 dup /Private get dup rcheck {begin true}{pop false}ifelse exch /CharStrings get begin systemdict /gcheck known {currentglobal currentdict gcheck setglobal} if /two <1C60D8A8C9B08A95D352586DE3151F02B2E7A581ACA5976FB763B95639 3BC490F0CD4D5B280B6A52F290F789E5CEC9E33CD592FDCA6F067C5DCC5CEF67 200F19AF66BA5FC16552CBAED33E8EB24BD86C9387F8A788D116097F79FB6AD3 E4C888CEC183125A56854DFC4EC2A512FAD19E4C0CC01D2E3E78CD26BF58F708 740511AEC5202BBACDCB9527106680> |- systemdict /gcheck known {setglobal} if end {end} if end DBAMKA+CMR8 /Encoding get dup 50 /two put pop %ADOEndSubsetFont /DBAMKA+CMR8*3 [ 50{/.notdef}repeat /two 205{/.notdef}repeat ] DBAMKA+CMR8 nfnt DBAMKA+CMR8*3 [7.97009 0 -0 -7.97009 0 0 ]mfnt sfnt 236.639 167.599 mov (2) sh IBAMKA+CMMI10*2 [10.9091 0 -0 -10.9091 0 0 ]mfnt sfnt 231.749 148.058 mov (E) sh DBAMKA+CMR8*2 [7.97009 0 -0 -7.97009 0 0 ]mfnt sfnt 240.39 143.499 mov (+) sh GBAMKA+CMMI8*1 [7.97009 0 -0 -7.97009 0 0 ]mfnt sfnt 239.79 151.179 mov (\272) sh FBAMKA+CMU10*2 [7.97009 0 -0 -7.97009 0 0 ]mfnt sfnt 243.993 151.179 mov (,) sh %ADOBeginSubsetFont: CMR8 AddGlyphs %ADOt1write: (1.0.21) %%Copyright: Copyright 2005 Adobe System Incorporated. All rights reserved. systemdict begin DBAMKA+CMR8 dup /Private get dup rcheck {begin true}{pop false}ifelse exch /CharStrings get begin systemdict /gcheck known {currentglobal currentdict gcheck setglobal} if /three <1C60D8A8C9B08A95D352586DE315E2B5A67A08A6093E44B20E9CDEB3 5EC60CC61F3B13E5C9A934AD50F4BDEBA3242C06624957D9857ECF0CD1B06AC7 D03FDDEC41AFD69B7D5F425B71A88CD694752131AE980502AB3A89678A56A169 AED35393B36D80E2A4027C0AE07C698590CBF5A0D754626892B2BD953D875324 8A0EC46214DACC4383EC084ADF9C46F3B97927D1A8079E88C6665A32D675E313 4E82D7B1D1DBD864464321> |- systemdict /gcheck known {setglobal} if end {end} if end DBAMKA+CMR8 /Encoding get dup 51 /three put pop %ADOEndSubsetFont /DBAMKA+CMR8*4 [ 51{/.notdef}repeat /three 204{/.notdef}repeat ] DBAMKA+CMR8 nfnt DBAMKA+CMR8*4 [7.97009 0 -0 -7.97009 0 0 ]mfnt sfnt 246.389 151.179 mov (3) sh 0.5 lw 0 lc 0 lj 4 ml 245.693 102.688 mo 245.693 113.1 li 258.18 107.895 li 245.693 102.688 li cp 0 0 0 1 cmyk @ 0 0 0 1 cmyk %ADOBeginSubsetFont: CMTEX10 Initial %ADOt1write: (1.0.21) %%Copyright: Copyright 2005 Adobe System Incorporated. All rights reserved. 13 dict dup begin /FontType 1 def /FontName /CMTEX10 def /FontInfo 6 dict dup begin /Notice (Computer Modern fonts were designed by Donald E. Knuth) def /Weight (Medium) def /ItalicAngle 0 def end def /PaintType 0 def /FontMatrix [0.001 0 0 0.001 0 0] def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 46 /period put def /UniqueID 5000824 def /FontBBox {-23 -233 537 694} def end systemdict begin dup /Private 13 dict dup begin /|- {def} def /| {put} def /BlueValues [-11 0 611 622 431 440] def /OtherBlues [-229 -222] def /BlueScale 0.04796 def /StdHW [61] def /StdVW [69] def /StemSnapH [61] def /StemSnapV [69] def /password 5839 def /MinFeature {16 16} def /OtherSubrs[{}{}{}{systemdict/internaldict known not{pop 3}{1183615869 systemdict/internaldict get exec dup/startlock known{/startlock get exec}{dup /strtlck known{/strtlck get exec}{pop 3}ifelse}ifelse}ifelse}executeonly]def /Subrs 5 array dup 0 <1C60D8A8CC31FE2BF6E07AA3E541E2> | dup 1 <1C60D8A8C9C3D06D9E> | dup 2 <1C60D8A8C9C202D79A> | dup 3 <1C60D8A849> | dup 4 <1C60D8A8CC3674F41144B13B77> | def put dup /CharStrings 2 dict dup begin /period <1C60D8A8C9B78E059954B91DD6BBEE3FFAC4899E7241AD37B76CB92 A910164888C2C282BEE906495909BB5> |- /.notdef <1C60D8A8C9B78E051C> |- end put end dup /FontName get exch definefont pop end %ADOEndSubsetFont /CBAMKA+CMTEX10 /CMTEX10 findfont def /CBAMKA+CMTEX10*1 [ 46{/.notdef}repeat /period 209{/.notdef}repeat ] CBAMKA+CMTEX10 nfnt CBAMKA+CMTEX10*1 [10 0 -0 -10 0 0 ]mfnt sfnt 240.499 126.609 mov (...) sh %ADOBeginSubsetFont: CMMI10 AddGlyphs %ADOt1write: (1.0.21) %%Copyright: Copyright 2005 Adobe System Incorporated. All rights reserved. systemdict begin IBAMKA+CMMI10 dup /Private get dup rcheck {begin true}{pop false}ifelse exch /CharStrings get begin systemdict /gcheck known {currentglobal currentdict gcheck setglobal} if /nu <1C60D8A8C9B08A95DCEF526C39F84819D72EDDE93B471154F52378B0E1A A79AED5E5573BEBEAB32990C889AEDB8D31080E5E7469EEF2738BFEB577AD7B0 975355751F74E373F4443C1F6201F55F007C16420DC1FBB61A1A0179F01C6541 199A14F8E146FA1B51FC468D37F5FB445F03CB7A0089166BC8F6795C7D9EC976 71ABC289ACEA8873105E3AA9EA6F28F> |- systemdict /gcheck known {setglobal} if end {end} if end IBAMKA+CMMI10 /Encoding get dup 23 /nu put dup 186 /nu put pop %ADOEndSubsetFont /IBAMKA+CMMI10*2 [ 69{/.notdef}repeat /E 116{/.notdef}repeat /nu 69{/.notdef}repeat ] IBAMKA+CMMI10 nfnt IBAMKA+CMMI10*2 [10.9091 0 -0 -10.9091 0 0 ]mfnt sfnt 255.999 120.468 mov (\272) sh CBAMKA+CMTEX10*1 [10 0 -0 -10 0 0 ]mfnt sfnt 238.499 91.3593 mov (...) sh IBAMKA+CMMI10*2 [10.9091 0 -0 -10.9091 0 0 ]mfnt sfnt 237.249 74.4392 mov (E) sh HBAMKA+CMSY8*1 [7.97009 0 -0 -7.97009 0 0 ]mfnt sfnt 245.89 69.879 mov (\241) sh GBAMKA+CMMI8*1 [7.97009 0 -0 -7.97009 0 0 ]mfnt sfnt 245.29 77.5589 mov (\272) sh FBAMKA+CMU10*2 [7.97009 0 -0 -7.97009 0 0 ]mfnt sfnt 249.493 77.5589 mov (,) sh DBAMKA+CMR8*4 [7.97009 0 -0 -7.97009 0 0 ]mfnt sfnt 251.889 77.5589 mov (3) sh IBAMKA+CMMI10*2 [10.9091 0 -0 -10.9091 0 0 ]mfnt sfnt 223.749 53.8591 mov (E) sh HBAMKA+CMSY8*1 [7.97009 0 -0 -7.97009 0 0 ]mfnt sfnt 232.39 49.299 mov (\241) sh GBAMKA+CMMI8*1 [7.97009 0 -0 -7.97009 0 0 ]mfnt sfnt 231.79 56.9789 mov (\272) sh FBAMKA+CMU10*2 [7.97009 0 -0 -7.97009 0 0 ]mfnt sfnt 235.993 56.9789 mov (,) sh DBAMKA+CMR8*3 [7.97009 0 -0 -7.97009 0 0 ]mfnt sfnt 238.389 56.9789 mov (2) sh IBAMKA+CMMI10*2 [10.9091 0 -0 -10.9091 0 0 ]mfnt sfnt 179.249 105.029 mov (\272) sh DBAMKA+CMR8*4 [7.97009 0 -0 -7.97009 0 0 ]mfnt sfnt 184.65 106.709 mov (3) sh IBAMKA+CMMI10*2 [10.9091 0 -0 -10.9091 0 0 ]mfnt sfnt 154.999 105.009 mov (\272) sh DBAMKA+CMR8*3 [7.97009 0 -0 -7.97009 0 0 ]mfnt sfnt 160.4 106.69 mov (2) sh IBAMKA+CMMI10*2 [10.9091 0 -0 -10.9091 0 0 ]mfnt sfnt 102.5 104.739 mov (\272) sh DBAMKA+CMR8*1 [7.97009 0 -0 -7.97009 0 0 ]mfnt sfnt 107.9 106.419 mov (1) sh FBAMKA+CMU10*1 [10.9091 0 -0 -10.9091 0 0 ]mfnt sfnt 31.1665 69.0661 mov (=) sh EBAMKA+CMB10*1 [10.9091 0 -0 -10.9091 0 0 ]mfnt sfnt 39.2573 69.3991 mov (\240) sh IBAMKA+CMMI10*2 [10.9091 0 -0 -10.9091 0 0 ]mfnt sfnt 39.2271 69.0661 mov (E) sh GBAMKA+CMMI8*1 [7.97009 0 -0 -7.97009 0 0 ]mfnt sfnt 47.5401 72.1859 mov (\272) sh FBAMKA+CMU10*2 [7.97009 0 -0 -7.97009 0 0 ]mfnt sfnt 51.7427 72.1859 mov (,) sh DBAMKA+CMR8*2 [7.97009 0 -0 -7.97009 0 0 ]mfnt sfnt 48.7603 65.0863 mov (+) sh 68.8619 80.4014 mo 68.8834 80.128 68.9488 79.6045 69.1456 79.1465 cv 69.6143 78.0772 70.7491 78.6338 71.0435 79.3868 cv 71.7964 81.3389 72.0035 83.5098 72.4073 84.9063 cv 72.5054 85.2442 72.6797 85.5391 72.8653 85.67 cv 73.0835 85.834 73.3345 85.8995 73.5962 85.7901 cv 74.0215 85.6153 74.0435 85.1133 74.0982 84.9502 cv 74.3052 84.9502 li 74.2725 85.3536 74.2837 85.8008 74.0435 86.2266 cv 73.8365 86.5977 73.4761 86.8262 73.1382 86.8047 cv 72.7344 86.7832 72.3633 86.4444 72.189 86.0518 cv 72.0035 85.6045 71.6216 83.8916 71.48 82.6377 cv 71.4581 82.6377 li 69.5928 86.6192 li 68.5889 86.6192 li 71.1089 81.1866 li 70.9454 80.4444 70.771 79.7901 70.5088 79.5831 cv 70.3126 79.419 70.0074 79.2774 69.6143 79.4844 cv 69.167 79.7247 69.1783 80.0733 69.0689 80.4014 cv 68.8619 80.4014 li 0 0 0 1 cmyk f 0 0 0 1 cmyk GBAMKA+CMMI8*1 [7.97009 0 -0 -7.97009 0 0 ]mfnt sfnt 76.1402 89.7386 mov (\272) sh FBAMKA+CMU10*2 [7.97009 0 -0 -7.97009 0 0 ]mfnt sfnt 80.3428 89.7386 mov (,) sh DBAMKA+CMR8*2 [7.97009 0 -0 -7.97009 0 0 ]mfnt sfnt 73.5269 82.639 mov (+) sh CBAMKA+CMTEX10*1 [10 0 -0 -10 0 0 ]mfnt sfnt 127.5 39.0263 mov (...) sh 127.167 179.692 mov (...) sh 0.25 lw 1 lc 1 lj 10 ml 143.508 133.582 mo 149.187 143.034 li 158.361 159.463 li 167.189 176.331 li 171.313 184.679 li 0 0 0 1 cmyk @ 150.767 146.52 mo 157.732 158.994 li 166.561 175.861 li 170.855 184.638 li @ 154.719 154.462 mo 157.482 159.411 li 166.311 176.278 li 170.48 184.679 li @ 157.149 159.577 mo 165.978 176.444 li 170.063 184.638 li @ 158.652 163.238 mo 165.477 176.278 li 169.605 184.679 li @ 171.418 30.8111 mo 167.294 39.1597 li 158.466 56.0269 li 149.291 72.4566 li 143.612 81.9087 li @ 170.96 30.8521 mo 166.665 39.6294 li 157.837 56.4966 li 150.871 68.9703 li @ 170.585 30.8111 mo 166.415 39.2125 li 157.587 56.0796 li 154.823 61.0279 li @ 170.168 30.8521 mo 166.082 39.0464 li 157.254 55.9136 li @ 169.71 30.8111 mo 165.581 39.2125 li 158.757 52.2525 li @ /2 [/DeviceGray] add_csa 0 gry IBAMKA+CMMI10*2 [10.909 0 -0 -10.909 0 0 ]mfnt sfnt 40.8076 85.541 mov (E) sh DBAMKA+CMR8*2 [7.96999 0 -0 -7.96999 0 0 ]mfnt sfnt 49.8228 80.9531 mov (+) sh %ADOBeginSubsetFont: CMMI8 AddGlyphs %ADOt1write: (1.0.21) %%Copyright: Copyright 2005 Adobe System Incorporated. All rights reserved. systemdict begin GBAMKA+CMMI8 dup /Private get dup rcheck {begin true}{pop false}ifelse exch /CharStrings get begin systemdict /gcheck known {currentglobal currentdict gcheck setglobal} if /n <1C60D8A8C9B08A95E7230E17B0D3836FA5D4386A668849C637098B982EF0 318DD20F47907E6E27C4BC7386A8091D5DE8FB1BF6DE1B757271DADEC9E3C59C 4E400E83188D2984FA4EA2D49BF862325FB9A82CD907A0353D7BCDF39385A805 14C183A8C2CFF308C254B188B5701D76BA41F48525CF46064A7EF5B13EF5A433 0B61E3BC1148677B635BD950F131DF2AE17698A7FB1211DF8250107C1E0A8203 B8E1817EA03BBAEA6321687A7284FD0CB124760B2B5BB16CC56FD28279C21B27 F9FC72E03CBDBB3D70A6CEAB0E9C308FCB> |- systemdict /gcheck known {setglobal} if end {end} if end GBAMKA+CMMI8 /Encoding get dup 110 /n put pop %ADOEndSubsetFont /GBAMKA+CMMI8*1 [ 110{/.notdef}repeat /n 75{/.notdef}repeat /nu 69{/.notdef}repeat ] GBAMKA+CMMI8 nfnt GBAMKA+CMMI8*1 [7.96999 0 -0 -7.96999 0 0 ]mfnt sfnt 48.1938 89.5068 mov (\272) sh %ADOBeginSubsetFont: CMR8 AddGlyphs %ADOt1write: (1.0.21) %%Copyright: Copyright 2005 Adobe System Incorporated. All rights reserved. systemdict begin DBAMKA+CMR8 dup /Private get dup rcheck {begin true}{pop false}ifelse exch /CharStrings get begin systemdict /gcheck known {currentglobal currentdict gcheck setglobal} if /parenleft <1C60D8A8C9B08A950C44F05CDCAE3556D5BFFD62B009B916EA3B CE379FA899445528B346627042B4B978F02CC58419190BE3F5154222C5097C13 20AD20CE4B3B6E1BA9C2A9B45E682516AEED997C7277905D0E0C9C35C91EF42E 22B2A19E47421F996C4A84757FDCD9> |- systemdict /gcheck known {setglobal} if end {end} if end DBAMKA+CMR8 /Encoding get dup 40 /parenleft put pop %ADOEndSubsetFont /DBAMKA+CMR8*4 [ 40{/.notdef}repeat /parenleft 10{/.notdef}repeat /three 204{/.notdef}repeat ] DBAMKA+CMR8 nfnt DBAMKA+CMR8*4 [7.96999 0 -0 -7.96999 0 0 ]mfnt sfnt 87.8804 90.5068 mov (\() sh GBAMKA+CMMI8*1 [7.96999 0 -0 -7.96999 0 0 ]mfnt sfnt 90.1743 90.5068 mov (n) sh %ADOBeginSubsetFont: CMR8 AddGlyphs %ADOt1write: (1.0.21) %%Copyright: Copyright 2005 Adobe System Incorporated. All rights reserved. systemdict begin DBAMKA+CMR8 dup /Private get dup rcheck {begin true}{pop false}ifelse exch /CharStrings get begin systemdict /gcheck known {currentglobal currentdict gcheck setglobal} if /parenright <1C60D8A8C9B08A950C44F05CDCAE3556D5BFFD62B009BCCEDB6 618D1DBA4E1B59E4D4D2EFB6FCB458A61EC0C17F9C9CAAF26CB39A69068C2FEB C0237067110556BA02907DC81CDFFCECA1D23A0D3D124B6393F96D5EF0CC6918 BEF8FF38B9BA21B89C7FDCA41FAE319AB65FE04D68F5E> |- systemdict /gcheck known {setglobal} if end {end} if end DBAMKA+CMR8 /Encoding get dup 41 /parenright put pop %ADOEndSubsetFont /DBAMKA+CMR8*5 [ 41{/.notdef}repeat /parenright 214{/.notdef}repeat ] DBAMKA+CMR8 nfnt DBAMKA+CMR8*5 [7.96999 0 -0 -7.96999 0 0 ]mfnt sfnt 94.646 90.6738 mov (\)) sh %ADOBeginSubsetFont: CMMI8 AddGlyphs %ADOt1write: (1.0.21) %%Copyright: Copyright 2005 Adobe System Incorporated. All rights reserved. systemdict begin GBAMKA+CMMI8 dup /Private get dup rcheck {begin true}{pop false}ifelse exch /CharStrings get begin systemdict /gcheck known {currentglobal currentdict gcheck setglobal} if /k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|- systemdict /gcheck known {setglobal} if end {end} if end GBAMKA+CMMI8 /Encoding get dup 107 /k put pop %ADOEndSubsetFont /GBAMKA+CMMI8*2 [ 107{/.notdef}repeat /k 148{/.notdef}repeat ] GBAMKA+CMMI8 nfnt GBAMKA+CMMI8*2 [7.96999 0 -0 -7.96999 0 0 ]mfnt sfnt 83.3599 90.5967 mov (k) sh 0 0 0 1 cmyk FBAMKA+CMU10*2 [7.97009 0 -0 -7.97009 0 0 ]mfnt sfnt 52.3252 90.1146 mov (,) sh FBAMKA+CMU10*1 [10.9091 0 -0 -10.9091 0 0 ]mfnt sfnt 58.3501 86.3689 mov (=) sh 32.1665 85.9948 mov (=) sh 0 gry GBAMKA+CMMI8*1 [7.96999 0 -0 -7.96999 0 0 ]mfnt sfnt 55.0083 72.5068 mov (n) sh 55.3413 89.5068 mov (n) sh %ADOBeginClientInjection: EndPageContent "AI11EPS" userdict /annotatepage 2 copy known {get exec}{pop pop} ifelse %ADOEndClientInjection: EndPageContent "AI11EPS" % page clip grestore grestore % PSGState /KBAMKA+CMR10*1 ufnt /KBAMKA+CMR10*2 ufnt /JBAMKA+CMSY10*1 ufnt /IBAMKA+CMMI10*1 ufnt /IBAMKA+CMMI10*2 ufnt /HBAMKA+CMSY8*1 ufnt /GBAMKA+CMMI8*1 ufnt /GBAMKA+CMMI8*2 ufnt /FBAMKA+CMU10*1 ufnt /FBAMKA+CMU10*2 ufnt /EBAMKA+CMB10*1 ufnt /DBAMKA+CMR8*1 ufnt /DBAMKA+CMR8*2 ufnt /DBAMKA+CMR8*3 ufnt /DBAMKA+CMR8*4 ufnt /DBAMKA+CMR8*5 ufnt /CBAMKA+CMTEX10*1 ufnt Adobe_AGM_Core/AGMCORE_save get restore %%PageTrailer [/EMC AI11_PDFMark5 [/NamespacePop AI11_PDFMark5 Adobe_AGM_Image/page_trailer get exec Adobe_CoolType_Core/page_trailer get exec Adobe_AGM_Core/page_trailer get exec currentdict Adobe_AGM_Utils eq {end} if %%Trailer Adobe_AGM_Image/doc_trailer get exec Adobe_CoolType_Core/doc_trailer get exec Adobe_AGM_Core/doc_trailer get exec %%EOF %AI9_PrintingDataEnd userdict /AI9_read_buffer 256 string put userdict begin /ai9_skip_data { mark { currentfile AI9_read_buffer { readline } stopped { } { not { exit } if (%AI9_PrivateDataEnd) eq { exit } if } ifelse } loop cleartomark } def end userdict /ai9_skip_data get exec %AI9_PrivateDataBegin %!PS-Adobe-3.0 EPSF-3.0 %%Creator: Adobe Illustrator(R) 11.0 %%AI8_CreatorVersion: 11.0.0 %%For: (CNRS) () %%Title: (Fig1.eps) %%CreationDate: 16/09/05 22:57 %AI9_DataStream %Gb"-6H#r%9OtZS:n/_'AR<@8%P<]*R+PPP@=WYd)bu@>>*ODm"o1VWY;H8,(eNBYYI/<"j59^/"A27;Ql;@#50Tl_f&;]iFnCp)i %q.+LBFS#4sk2#%jmsgj-^73YQQo-M?=r3&l55EgR0/jF%HVR1ggJ5o&F`_POdZhG?#PsY8q1bJEh-N3LDf-W2\A,`04?P05YAWeN 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