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0000000000000000000000000000000000000000000000000000000000000000 cleartomark %%EndFont %%BeginFont: CMBX9 %!PS-AdobeFont-1.1: CMBX9 1.0 %%CreationDate: 1991 Aug 20 16:36:25 % 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 (CMBX9) readonly def /FamilyName (Computer Modern) readonly def /Weight (Bold) readonly def /ItalicAngle 0 def /isFixedPitch false def end readonly def /FontName /CMBX9 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 54 /six put readonly def /FontBBox{-58 -250 1195 750}readonly def /UniqueID 5000767 def currentdict end currentfile eexec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cleartomark %%EndFont %%BeginFont: CMSY10 %!PS-AdobeFont-1.1: CMSY10 1.0 %%CreationDate: 1991 Aug 15 07:20:57 % Copyright (C) 1997 American Mathematical Society. All Rights Reserved. 11 dict begin /FontInfo 7 dict dup begin /version (1.0) readonly def /Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def /FullName (CMSY10) readonly def /FamilyName (Computer Modern) readonly def /Weight (Medium) readonly def /ItalicAngle -14.035 def /isFixedPitch false def end readonly def /FontName /CMSY10 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 0 /minus put dup 1 /periodcentered put dup 2 /multiply put dup 13 /circlecopyrt put dup 14 /openbullet put dup 17 /equivalence put dup 20 /lessequal put dup 21 /greaterequal put dup 24 /similar put dup 25 /approxequal put dup 26 /propersubset put dup 27 /propersuperset put dup 33 /arrowright put dup 49 /infinity put dup 50 /element put dup 54 /negationslash put dup 55 /mapsto put dup 56 /universal put dup 67 /C put dup 68 /D put dup 69 /E put dup 70 /F put dup 92 /intersection put dup 102 /braceleft put dup 103 /braceright put dup 106 /bar put dup 107 /bardbl put dup 110 /backslash put dup 112 /radical put dup 114 /nabla put readonly def /FontBBox{-29 -960 1116 775}readonly def /UniqueID 5000820 def currentdict end currentfile eexec D9D66F633B846A97B686A97E45A3D0AA052F09F9C8ADE9D907C058B87E9B6964 7D53359E51216774A4EAA1E2B58EC3176BD1184A633B951372B4198D4E8C5EF4 A213ACB58AA0A658908035BF2ED8531779838A960DFE2B27EA49C37156989C85 E21B3ABF72E39A89232CD9F4237FC80C9E64E8425AA3BEF7DED60B122A52922A 221A37D9A807DD01161779DDE7D31FF2B87F97C73D63EECDDA4C49501773468A 27D1663E0B62F461F6E40A5D6676D1D12B51E641C1D4E8E2771864FC104F8CBF 5B78EC1D88228725F1C453A678F58A7E1B7BD7CA700717D288EB8DA1F57C4F09 0ABF1D42C5DDD0C384C7E22F8F8047BE1D4C1CC8E33368FB1AC82B4E96146730 DE3302B2E6B819CB6AE455B1AF3187FFE8071AA57EF8A6616B9CB7941D44EC7A 71A7BB3DF755178D7D2E4BB69859EFA4BBC30BD6BB1531133FD4D9438FF99F09 4ECC068A324D75B5F696B8688EEB2F17E5ED34CCD6D047A4E3806D000C199D7C 515DB70A8D4F6146FE068DC1E5DE8BC5703652AD6A37C6322EF072B85EDD4AD6 3D059AB042EE232F18B14DD2DF926C4417FF72F0D0290270F6989E5A1608CDC7 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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 39 /quoteright put dup 40 /parenleft put dup 41 /parenright put dup 44 /comma put dup 45 /hyphen put dup 46 /period put dup 48 /zero put dup 49 /one put dup 50 /two put dup 51 /three put dup 52 /four put dup 53 /five put dup 54 /six put dup 55 /seven put dup 56 /eight put dup 57 /nine 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 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 87 /W put dup 89 /Y put dup 97 /a put dup 98 /b put dup 99 /c put dup 100 /d put dup 101 /e put dup 102 /f put dup 103 /g put dup 104 /h put dup 105 /i put dup 107 /k put dup 108 /l put dup 109 /m put dup 110 /n put dup 111 /o put dup 112 /p put dup 113 /q put dup 114 /r put dup 115 /s put dup 116 /t put dup 117 /u put dup 118 /v put dup 119 /w put dup 121 /y put dup 122 /z put readonly def /FontBBox{-301 -250 1164 946}readonly def /UniqueID 5000768 def currentdict end currentfile eexec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0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 cleartomark %%EndFont %%BeginFont: EUFM10 %!PS-AdobeFont-1.1: EUFM10 2.1 %%CreationDate: 1992 Nov 20 17:36:20 % Euler fonts were designed by Hermann Zapf. % 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 (EUFM10) readonly def /FamilyName (Euler) readonly def /Weight (Medium) readonly def /ItalicAngle 0 def /isFixedPitch false def end readonly def /FontName /EUFM10 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 69 /E put readonly def /FontBBox{-26 -224 1055 741}readonly def /UniqueID 5031986 def currentdict end currentfile eexec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cleartomark %%EndFont %%BeginFont: MSAM10 %!PS-AdobeFont-1.1: MSAM10 2.1 %%CreationDate: 1993 Sep 17 09:05:00 % Math Symbol fonts were designed by the American Mathematical Society. % Copyright (C) 1997 American Mathematical Society. All Rights Reserved. 11 dict begin /FontInfo 7 dict dup begin /version (2.1) readonly def /Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def /FullName (MSAM10) readonly def /FamilyName (Euler) readonly def /Weight (Medium) readonly def /ItalicAngle 0 def /isFixedPitch false def end readonly def /FontName /MSAM10 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 3 /square put readonly def /FontBBox{8 -463 1331 1003}readonly def /UniqueID 5031981 def currentdict end currentfile eexec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cleartomark %%EndFont %%BeginFont: CMR5 %!PS-AdobeFont-1.1: CMR5 1.00B %%CreationDate: 1992 Feb 19 19:55:02 % Copyright (C) 1997 American Mathematical Society. All Rights Reserved. 11 dict begin /FontInfo 7 dict dup begin /version (1.00B) readonly def /Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def /FullName (CMR5) readonly def /FamilyName (Computer Modern) readonly def /Weight (Medium) readonly def /ItalicAngle 0 def /isFixedPitch false def end readonly def /FontName /CMR5 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 43 /plus put readonly def /FontBBox{-341 -250 1304 965}readonly def /UniqueID 5000788 def currentdict end currentfile eexec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cleartomark %%EndFont %%BeginFont: CMSY7 %!PS-AdobeFont-1.1: CMSY7 1.0 %%CreationDate: 1991 Aug 15 07:21:52 % Copyright (C) 1997 American Mathematical Society. All Rights Reserved. 11 dict begin /FontInfo 7 dict dup begin /version (1.0) readonly def /Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def /FullName (CMSY7) readonly def /FamilyName (Computer Modern) readonly def /Weight (Medium) readonly def /ItalicAngle -14.035 def /isFixedPitch false def end readonly def /FontName /CMSY7 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 33 /arrowright put readonly def /FontBBox{-15 -951 1252 782}readonly def /UniqueID 5000817 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 14 /delta put dup 107 /k put readonly def /FontBBox{0 -250 1171 750}readonly def /UniqueID 5087382 def currentdict end currentfile eexec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cleartomark %%EndFont %%BeginFont: CMR7 %!PS-AdobeFont-1.1: CMR7 1.0 %%CreationDate: 1991 Aug 20 16:39:21 % Copyright (C) 1997 American Mathematical Society. All Rights Reserved. 11 dict begin /FontInfo 7 dict dup begin /version (1.0) readonly def /Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def /FullName (CMR7) readonly def /FamilyName (Computer Modern) readonly def /Weight (Medium) readonly def /ItalicAngle 0 def /isFixedPitch false def end readonly def /FontName /CMR7 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 48 /zero put dup 49 /one put dup 50 /two put readonly def /FontBBox{-27 -250 1122 750}readonly def /UniqueID 5000790 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 17 /eta put dup 18 /theta put dup 20 /kappa put dup 21 /lambda put dup 22 /mu put dup 23 /nu put dup 25 /pi put dup 26 /rho put dup 27 /sigma put dup 28 /tau put dup 30 /phi put dup 31 /chi put dup 32 /psi put dup 34 /epsilon put dup 39 /phi1 put dup 58 /period put dup 59 /comma put dup 60 /less put dup 61 /slash put dup 62 /greater put dup 64 /partialdiff put dup 65 /A put dup 66 /B put dup 67 /C put dup 72 /H put dup 73 /I put dup 74 /J put dup 76 /L put dup 78 /N put dup 79 /O put dup 81 /Q put dup 82 /R put dup 83 /S put dup 86 /V put dup 87 /W put dup 97 /a put dup 98 /b put dup 99 /c put dup 100 /d put dup 101 /e put dup 102 /f put dup 103 /g put dup 104 /h put dup 107 /k 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{-32 -250 1048 750}readonly def /UniqueID 5087385 def currentdict end currentfile eexec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All Rights Reserved. 11 dict begin /FontInfo 7 dict dup begin /version (1.00B) readonly def /Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def /FullName (CMR10) readonly def /FamilyName (Computer Modern) readonly def /Weight (Medium) readonly def /ItalicAngle 0 def /isFixedPitch false def end readonly def /FontName /CMR10 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 0 /Gamma put dup 1 /Delta put dup 6 /Sigma 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 35 /numbersign put dup 38 /ampersand put dup 39 /quoteright put dup 40 /parenleft put dup 41 /parenright put dup 43 /plus put dup 44 /comma put dup 45 /hyphen put dup 46 /period put dup 48 /zero put dup 49 /one put dup 50 /two put dup 51 /three put dup 52 /four put dup 53 /five put dup 54 /six put dup 55 /seven put dup 56 /eight put dup 57 /nine put dup 58 /colon put dup 59 /semicolon 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 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 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 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: 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 44 /comma put dup 45 /hyphen put dup 46 /period put dup 79 /O put dup 82 /R put dup 84 /T put dup 97 /a put dup 99 /c put dup 100 /d put dup 101 /e put dup 102 /f put dup 103 /g put dup 104 /h put dup 105 /i put dup 106 /j put dup 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 120 /x put dup 121 /y put readonly def /FontBBox{-62 -250 1123 750}readonly def /UniqueID 5000798 def currentdict end currentfile eexec D9D66F633B846A97B686A97E45A3D0AA0529731C99A784CCBE85B4993B2EEBDE 3B12D472B7CF54651EF21185116A69AB1096ED4BAD2F646635E019B6417CC77B 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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 12 /fi put dup 39 /quoteright 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 55 /seven put dup 58 /colon put dup 65 /A put dup 70 /F put dup 73 /I put dup 76 /L put dup 77 /M put dup 79 /O put dup 80 /P put dup 84 /T put dup 85 /U put dup 87 /W put dup 97 /a put dup 98 /b put dup 99 /c put dup 100 /d put dup 101 /e put dup 102 /f put dup 103 /g put dup 104 /h put dup 105 /i put dup 106 /j put dup 107 /k put dup 108 /l put dup 109 /m put dup 110 /n put dup 111 /o put dup 112 /p put dup 113 /q put dup 114 /r put dup 115 /s put dup 116 /t put dup 117 /u put dup 118 /v put dup 119 /w put dup 120 /x put dup 121 /y put dup 122 /z put readonly def /FontBBox{-163 -250 1146 969}readonly def /UniqueID 5000828 def currentdict end currentfile eexec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cleartomark %%EndFont %%BeginFont: CMSY6 %!PS-AdobeFont-1.1: CMSY6 1.0 %%CreationDate: 1991 Aug 15 07:21:34 % Copyright (C) 1997 American Mathematical Society. All Rights Reserved. 11 dict begin /FontInfo 7 dict dup begin /version (1.0) readonly def /Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def /FullName (CMSY6) readonly def /FamilyName (Computer Modern) readonly def /Weight (Medium) readonly def /ItalicAngle -14.035 def /isFixedPitch false def end readonly def /FontName /CMSY6 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 0 /minus put dup 48 /prime put dup 49 /infinity put dup 67 /C put readonly def /FontBBox{-4 -948 1329 786}readonly def /UniqueID 5000816 def currentdict end currentfile eexec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cleartomark %%EndFont %%BeginFont: CMSL8 %!PS-AdobeFont-1.1: CMSL8 1.0 %%CreationDate: 1991 Aug 20 16:41:02 % Copyright (C) 1997 American Mathematical Society. All Rights Reserved. 11 dict begin /FontInfo 7 dict dup begin /version (1.0) readonly def /Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def /FullName (CMSL8) readonly def /FamilyName (Computer Modern) readonly def /Weight (Medium) readonly def /ItalicAngle -9.46 def /isFixedPitch false def end readonly def /FontName /CMSL8 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 12 /fi put dup 40 /parenleft put dup 41 /parenright put dup 48 /zero put dup 50 /two put dup 58 /colon put dup 65 /A put dup 77 /M put dup 83 /S put dup 97 /a put dup 99 /c put dup 105 /i put dup 108 /l put dup 110 /n put dup 111 /o put dup 115 /s put dup 116 /t put readonly def /FontBBox{-57 -250 1183 750}readonly def /UniqueID 5000796 def currentdict end currentfile eexec D9D66F633B846A97B686A97E45A3D0AA0529731C99A784CCBE85B4993B2EEBDE 3B12D472B7CF54651EF21185116A69AB1096ED4BAD2F646635E019B6417CC77B 532F85D811C70D1429A19A5307EF63EB5C5E02C89FC6C20F6D9D89E7D91FE470 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0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 cleartomark %%EndFont %%BeginFont: CMTI9 %!PS-AdobeFont-1.1: CMTI9 1.0 %%CreationDate: 1991 Aug 18 21:08:07 % 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 (CMTI9) readonly def /FamilyName (Computer Modern) readonly def /Weight (Medium) readonly def /ItalicAngle -14.04 def /isFixedPitch false def end readonly def /FontName /CMTI9 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 19 /acute put dup 34 /quotedblright put dup 40 /parenleft put dup 41 /parenright put dup 44 /comma put dup 45 /hyphen put dup 46 /period put dup 48 /zero put dup 49 /one put dup 50 /two put dup 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 68 /D put dup 69 /E put dup 70 /F put dup 72 /H put dup 73 /I put dup 74 /J put dup 75 /K put dup 77 /M put dup 78 /N put dup 79 /O put dup 80 /P put dup 83 /S put dup 84 /T put dup 85 /U 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 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 123 /endash put readonly def /FontBBox{-35 -250 1148 750}readonly def /UniqueID 5000827 def currentdict end currentfile eexec D9D66F633B846A97B686A97E45A3D0AA0529731C99A784CCBE85B4993B2EEBDE 3B12D472B7CF54651EF21185116A69AB1096ED4BAD2F646635E019B6417CC77B 532F85D811C70D1429A19A5307EF63EB5C5E02C89FC6C20F6D9D89E7D91FE470 B72BEFDA23F5DF76BE05AF4CE93137A219ED8A04A9D7D6FDF37E6B7FCDE0D90B 986423E5960A5D9FBB4C956556E8DF90CBFAEC476FA36FD9A5C8175C9AF513FE D919C2DDD26BDC0D99398B9F4D03D5993DFC0930297866E1CD0A319B6B1FD958 9E3948FFB3DF7BFF10C9BDA4EFE5F68A8CB1526990D1357AE6D2F7C2D2EF8496 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All Rights Reserved. 11 dict begin /FontInfo 7 dict dup begin /version (2.1) readonly def /Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def /FullName (MSBM7) readonly def /FamilyName (Euler) readonly def /Weight (Medium) readonly def /ItalicAngle 0 def /isFixedPitch false def end readonly def /FontName /MSBM7 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 78 /N put dup 82 /R put readonly def /FontBBox{0 -504 2615 1004}readonly def /UniqueID 5032014 def currentdict end currentfile eexec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cleartomark %%EndFont %%BeginFont: MSBM10 %!PS-AdobeFont-1.1: MSBM10 2.1 %%CreationDate: 1993 Sep 17 11:10:37 % Math Symbol fonts were designed by the American Mathematical Society. % Copyright (C) 1997 American Mathematical Society. All Rights Reserved. 11 dict begin /FontInfo 7 dict dup begin /version (2.1) readonly def /Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def /FullName (MSBM10) readonly def /FamilyName (Euler) readonly def /Weight (Medium) readonly def /ItalicAngle 0 def /isFixedPitch false def end readonly def /FontName /MSBM10 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 67 /C put dup 78 /N put dup 82 /R put dup 90 /Z put readonly def /FontBBox{-55 -420 2343 920}readonly def /UniqueID 5031982 def currentdict end currentfile eexec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cleartomark %%EndFont %%BeginFont: CMMI6 %!PS-AdobeFont-1.1: CMMI6 1.100 %%CreationDate: 1996 Jul 23 07:53:52 % Copyright (C) 1997 American Mathematical Society. All Rights Reserved. 11 dict begin /FontInfo 7 dict dup begin /version (1.100) readonly def /Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def /FullName (CMMI6) readonly def /FamilyName (Computer Modern) readonly def /Weight (Medium) readonly def /ItalicAngle -14.04 def /isFixedPitch false def end readonly def /FontName /CMMI6 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 11 /alpha put dup 18 /theta put dup 25 /pi put dup 27 /sigma put dup 34 /epsilon put dup 59 /comma put dup 61 /slash put dup 76 /L put dup 78 /N put dup 82 /R put dup 83 /S put dup 86 /V put dup 97 /a put dup 98 /b put dup 100 /d put dup 110 /n put dup 112 /p put dup 114 /r put dup 116 /t put dup 117 /u put dup 120 /x put readonly def /FontBBox{11 -250 1241 750}readonly def /UniqueID 5087381 def currentdict end currentfile eexec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cleartomark %%EndFont %%BeginFont: TeX-cmex8 %!PS-AdobeFont-1.0: TeX-cmex8 001.001 % Filtered by type1fix.pl 0.05 %%EndComments 13 dict dup begin /FontInfo 16 dict dup begin /Copyright (see\040copyright\040of\040original\040TeX\040font) def /FamilyName (TeX\040cmex8) def /FullName (TeX\040cmex8\040Regular) def /ItalicAngle 0 def /Notice (converted\040after\040April\0402001) def /UnderlinePosition -100 def /UnderlineThickness 50 def /Weight (Regular) def /isFixedPitch false def /version (001.001) def end readonly def /FontName /TeX-cmex8 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 16 /quotedblleft put dup 17 /quotedblright put dup 82 /R put readonly def /FontBBox {-29 -2957 1554 772} readonly def /UniqueID 4314416 def currentdict end currentfile eexec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cleartomark %%EndFont %%BeginFont: CMSY8 %!PS-AdobeFont-1.1: CMSY8 1.0 %%CreationDate: 1991 Aug 15 07:22:10 % Copyright (C) 1997 American Mathematical Society. All Rights Reserved. 11 dict begin /FontInfo 7 dict dup begin /version (1.0) readonly def /Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def /FullName (CMSY8) readonly def /FamilyName (Computer Modern) readonly def /Weight (Medium) readonly def /ItalicAngle -14.035 def /isFixedPitch false def end readonly def /FontName /CMSY8 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 0 /minus put dup 2 /multiply put dup 3 /asteriskmath put dup 20 /lessequal put dup 21 /greaterequal put dup 33 /arrowright put dup 48 /prime put dup 49 /infinity put dup 50 /element put dup 54 /negationslash put dup 67 /C put dup 102 /braceleft put dup 103 /braceright put dup 106 /bar put dup 107 /bardbl put dup 110 /backslash put dup 112 /radical put dup 114 /nabla 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 F83C7D393392BCBC227771CDCB976E933025324EFFCBAC44F103496930A22031 585D97048F64AD72C4B7497CD7573BAC963FAD53D021E9F47D0E4EC1525648B4 CBAF236E224CED32462F4D805777841FB347AB8B95D7FE61152FCFC71643EA17 CCF83390FD77CB993A33DE2361B61DCB11877D5E0270875E956620FD2B850236 6183D887B358DC74064C074C4778E7161449AF4373D9227606A488A363EA0B54 1DCFF19158E14DE5B9F38E51EF4B8189B85AE5B25BB65DA40B9E46D5B5C55D19 27F608FD841232FE5E49C0BC4F4C8DBFC1543409B52B93B4E443986EECBC484C D2C5FEE3E4B82BD84875EE892D680321DED1FF71DC0C12956E36F696C1D537B7 D82E4FF78E3469DD06BB03477EAEC463244B0F8EAB9E96CB18BD39259CCF24AA F44834EBDBF720D0A8DB4440DD1343742A51064C7A3D49A825CD4B3599ACC995 F00EBC55DD6FB953490E5973081BBAF97997A6513D54C9CD3F67927ED5E62CB8 C5A18C714BD40BE57704DE9F793B6480C2217354F2F5A12CACAB151C5D96EEBB 2F2F62EE5F4A6EB13AE33CBFB873FDF73536AC8C27CF041A5FEA6367A4B01218 FBD9A3CC4DC9A0269B2F17BCAA6766717C47855315718A145F5F901BBFFB2B6F DFF791F875391432C921EB12A9DCA11C011F111CC49FB688ADE0FDAC052B7FE6 3DD4A1911280CC4D31BBAFEBA7740111B4AD3399AFFEB00A5FD5F02A99B640F4 0EDA02A848D6A2905741BABBD2B674873BA7A69DC4FA6A404FBC19DE1382D64A 05154438F2C9469CDC0FB7C8A18DC047C629F0F73E1A20A1F63466D60CA79C62 E9D3F5063D3267273103344F832ED57C54DF12561769155233A696EAFD7074C1 88E6EB3C3DE6EC1140CE94154A2DF2ED096086EC2E9431DCB9171BE9174DAE97 1266A0254B32754ECAA498FCB0115BF120D2B1DBBBC672607FDD30C60BE472F8 CEDFBD43595E75833CE1A027ED7CB037836AA789C3E91F83FEEB657470F71E8C 24812A66B72195B9D985DA8CDBF545CDA5879AF7A8CFDC016D6BB908C2693723 CB19D026856F419759653EA4985A8BC6E9D03ED59926149159BAE0840E47B917 88AB882B1A84391BAE5650337D5C340C3507BE3957D3BB0FFB79AAC62F32218A 36811C6CDC2D30467336D0FC5D866DFE8687364395DFD205145F25CCBB7AFB14 9DA2D1692B8D6C5D51624F5524477BF0C3029CE235AD9CDA25A398FEB6520007 18E4BBA34B6D0EEAE7800F8CA37063E9C51284F80681BAB20110483A9423969D C86F32A96F1109E6C4D19F5A93B3AFD741C839AD5047671F6494BCE3938B7EDE 8EAB1E7BFBC230D28E10AC64BF892EFA2E19899E6C6573011218DEB528C186A2 D16C0C374E74777E5CA63A963063548060E5CCB7C2D245340E04E03B0355398C DAFA93E0A86198D2429E88AE8BA95B2A5CA8A9F110FFA292DE1377F030117699 63F4CBA80256D47309727C5691EF9E307AA9EB3A8BF335429D94924C9EC19D62 D74181D86D01F20297FAAA43D5E8C62D577F66E5F0673F152164FC4D62ECA3EB 28596B2A0CCDF733C7F821E767005A13F3A749BA5517D8E1325C91C874CB9C9A D10F335B82E7EEFB3759A34A107D4AE76B1A9D4C33D7BEEB827FA54459C98160 3108A6DBA1C0B852E46C8F44FBBEFDE0C54F09FFCA3B84C00AAD0812B0FF50B4 31F657A7E68A31B1E92A59CDDDFCF7D0F97AFE87B464050DAF824B8ACB124F21 7C9863EB54F35F492B55AA8B6EC442F60499320AAB94A1EF7551BC18BF16FEA8 C69BE55C1AC5A16FC21A1B4CF4199A199FDA537192C98621841119E6E46CDD1B 36F978C3D45E6F6EAF1248BF2D0F037C0BDCE5E5BA6A326B7780A2274F930A12 B8CED38924BB97B706F989302C8D574F5D014171CB06E914659E0BD718F04B5C 612C510C1EA48CF4225D2A4539451B3F777940E5566A9A077880FCCAF65FC25B 500F144969193431271F5BAD16A707A30E1942BA0C7E730434BDE9816E14EA91 A39F6F6A14F84FB56A2EE73EEA77F3456C93090C9AD1D552BA3291F23B7CE25F FA81998B56D092BD910E6AA076ADE49A8AA56E54A6978A335A3686DD4F5D53A7 73F5912560EC5E79E2F45CBBC0C61825AE345EDCCF49E30B2A09DFDA9C72412A 41584CE2A58DF147CCE0A223DA93FADB0FE41D1DDF3EF79327AF81398CDF4914 9FB71D00678AE0114249318E75A59863717F629BBF4DDF197B4DBF7A7673B617 445E5D6722C8E6306C1DB1EADE7E496269920B30F6134422C9BE0EF6C8CF7C93 88E537DE71A537B214F8BAA12B706D36876EE1696EAE4C0AC906954135DC1DA0 70A8AA9D0F63A55856670F2A703F66750893FE7EB26ECFF3900AEE7E3204F12C EB21B0A9E7E47946FEDBC561A3D17D8DCCEEB6EC6975D961E321E7E89FB33FAC C7F5A6845BFA06FB6197818A8E9D52E225A538B07429700140FD3DBC653683D8 F0D4FA93676429634CC454522522932CA6417B1DA92EA035202E19CC9B8AB191 0A894FE2BA27D099B30020048B51AC50751DB14C4FB2033EF5C756FAD19A538E D24701A77ADB726595ECFD5B6F4FC7BB1655C455C2816228D73A9B86C62DCF84 022A8E5140B80AD75263130480EE6F105D1D91287960599D5CB375DA112D77E2 84C888DB484ABFCC436EFAE64B27436157A5789D38E1B40CC8A2E41E8DBC82CB 270165C063CF3E1545A55B5E8EA47911480ADECF42B0252CB67B2FCB0A29CD29 278170919E5C09E161184CC6E21C35C8E2FCA73CAFB3428732A759713F449F77 EAA49854CE6FE135B9F3902D1A9E33FF096093D5BFBD814EE58FDBDBF4377938 F109907B76BB44ABD4209A2E5F50271F49BA1730A03EF386E99286EB49D3BB5C 98826F17AC1C52A3002973D08E333C5A2FAD4407A0DC38ED7F2FC2A419269560 50CC32BDB265AF62917FDFDF0D8D5C94F8A501B66093DBBC812AE44A20DD1BC0 479CAA2AF4A1A31BFE9F85C918D4A451C497CB2A3E4432A666A81A76EE20FE58 33604A719B2D056887E41273E5AFE4CA591E0637FB370F18667EC96E7C517D50 A66DA7F206309A7CD0C0D471BF73A15B2D04953A98947C6E548C559BC91DCA97 317998DF9AEF0256E6CA57EE7C40F448356BF908BE60567F30154EBC4C8FEB0F 3B7013863C4D14C529B58DF0BAD16D6176D2D7B219942092AD5AB94659B0EBA8 8A179277A976FBA84E7C01C76898C6C7578C4A196E0AE044A3B9D7B18C806B23 B98326C0CC21922CA8A2EF05976A27D821EE733D27C9F233D8EB514F967752EE 5E7168113796F393D22DA81A24EBCEB974928569066F9498D5246E957B00D907 0E16318E76885A865EFA90B86CB6E08CBBF9060D702B41BE581AB6E44A3FB950 B0F8BAE58CB9DBE598B9BC2089CEDA691A423993A41FE8D8952A0047601FE27E AE9A0FFC32A0E3D33B223DB2534E10682B1DC851826D3A76223273624BB9892D FD34D71C4181533B06720280BF338DB2BFA424D34530F8EBD45F35D8B30E65CD 29F44A4DB606C142581128844ABEE6DAD35DFC1A611CA35BEC647F3DE6A2FCA0 83FFFE289FB503912517373D58ADDA06B9037D4C0C7D0142C6B8BC3D213C19C2 249C4D6BD5D7C71EFD0F6A96035DD158F5C4ED4826656CB3C84B54CE495786E3 6109E4802F605F625CC4E8CD24F45EFBF4850954AAF17EC876C5DB92666AA68A 453A42A5E34FB8C80C57F8A461B3223F6875B567CA6863D59BCB007BDB01BAE9 D56850D16320A2B0E2C90A30E605F7630531 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 cleartomark %%EndFont %%BeginFont: CMR6 %!PS-AdobeFont-1.1: CMR6 1.0 %%CreationDate: 1991 Aug 20 16:39:02 % Copyright (C) 1997 American Mathematical Society. All Rights Reserved. 11 dict begin /FontInfo 7 dict dup begin /version (1.0) readonly def /Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def /FullName (CMR6) readonly def /FamilyName (Computer Modern) readonly def /Weight (Medium) readonly def /ItalicAngle 0 def /isFixedPitch false def end readonly def /FontName /CMR6 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 40 /parenleft put dup 41 /parenright put dup 43 /plus put dup 48 /zero put dup 49 /one put dup 50 /two put dup 54 /six put readonly def /FontBBox{-20 -250 1193 750}readonly def /UniqueID 5000789 def currentdict end currentfile eexec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cleartomark %%EndFont %%BeginFont: CMMI8 %!PS-AdobeFont-1.1: CMMI8 1.100 %%CreationDate: 1996 Jul 23 07:53:54 % Copyright (C) 1997 American Mathematical Society. All Rights Reserved. 11 dict begin /FontInfo 7 dict dup begin /version (1.100) readonly def /Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def /FullName (CMMI8) readonly def /FamilyName (Computer Modern) readonly def /Weight (Medium) readonly def /ItalicAngle -14.04 def /isFixedPitch false def end readonly def /FontName /CMMI8 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 11 /alpha put dup 12 /beta put dup 13 /gamma put dup 18 /theta put dup 21 /lambda put dup 22 /mu put dup 23 /nu put dup 25 /pi put dup 26 /rho put dup 27 /sigma put dup 30 /phi put dup 31 /chi put dup 32 /psi put dup 34 /epsilon put dup 39 /phi1 put dup 59 /comma put dup 60 /less put dup 61 /slash put dup 62 /greater put dup 64 /partialdiff put dup 72 /H put dup 76 /L put dup 78 /N put dup 82 /R put dup 83 /S put dup 86 /V put dup 87 /W put dup 97 /a put dup 98 /b put dup 99 /c put dup 100 /d put dup 101 /e put dup 102 /f put dup 105 /i put dup 107 /k put dup 110 /n put dup 112 /p put dup 114 /r put dup 115 /s put dup 116 /t 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All Rights Reserved. 11 dict begin /FontInfo 7 dict dup begin /version (1.00) readonly def /Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def /FullName (CMEX10) readonly def /FamilyName (Computer Modern) readonly def /Weight (Medium) readonly def /ItalicAngle 0 def /isFixedPitch false def end readonly def /FontName /CMEX10 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 0 /parenleftbig put dup 1 /parenrightbig put dup 2 /bracketleftbig put dup 3 /bracketrightbig put dup 12 /vextendsingle put dup 13 /vextenddouble put dup 16 /parenleftBig put dup 17 /parenrightBig put dup 18 /parenleftbigg put dup 19 /parenrightbigg put dup 20 /bracketleftbigg put dup 21 /bracketrightbigg put dup 26 /braceleftbigg put dup 27 /bracerightbigg put dup 32 /parenleftBigg put dup 33 /parenrightBigg put dup 34 /bracketleftBigg put dup 35 /bracketrightBigg put dup 56 /bracelefttp put dup 58 /braceleftbt put dup 60 /braceleftmid put dup 62 /braceex put dup 82 /integraltext put dup 88 /summationdisplay put dup 90 /integraldisplay put dup 104 /bracketleftBig put dup 105 /bracketrightBig put dup 110 /braceleftBig put dup 111 /bracerightBig put dup 122 /bracehtipdownleft put dup 123 /bracehtipdownright put dup 124 /bracehtipupleft put dup 125 /bracehtipupright put readonly def /FontBBox{-24 -2960 1454 772}readonly def /UniqueID 5000774 def currentdict end currentfile eexec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0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 cleartomark %%EndFont %%BeginFont: CMR8 %!PS-AdobeFont-1.1: CMR8 1.0 %%CreationDate: 1991 Aug 20 16:39:40 % Copyright (C) 1997 American Mathematical Society. All Rights Reserved. 11 dict begin /FontInfo 7 dict dup begin /version (1.0) readonly def /Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def /FullName (CMR8) readonly def /FamilyName (Computer Modern) readonly def /Weight (Medium) readonly def /ItalicAngle 0 def /isFixedPitch false def end readonly def /FontName /CMR8 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 22 /macron put dup 40 /parenleft put dup 41 /parenright put dup 43 /plus put dup 44 /comma put dup 45 /hyphen put dup 46 /period put dup 48 /zero put dup 49 /one put dup 50 /two put dup 51 /three put dup 52 /four put dup 53 /five put dup 54 /six put dup 55 /seven put dup 56 /eight put dup 57 /nine put dup 61 /equal put dup 65 /A put dup 66 /B put dup 68 /D put dup 69 /E put dup 71 /G put dup 72 /H put dup 73 /I put dup 74 /J put dup 76 /L put dup 77 /M put dup 78 /N put dup 79 /O 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 91 /bracketleft put dup 97 /a put dup 99 /c put dup 100 /d put dup 104 /h put dup 105 /i put dup 108 /l put dup 110 /n put dup 111 /o put dup 114 /r put dup 115 /s put readonly def /FontBBox{-36 -250 1070 750}readonly def /UniqueID 5000791 def currentdict end currentfile eexec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0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 cleartomark %%EndFont %%BeginFont: CMCSC10 %!PS-AdobeFont-1.1: CMCSC10 1.0 %%CreationDate: 1991 Aug 18 17:46:49 % Copyright (C) 1997 American Mathematical Society. All Rights Reserved. 11 dict begin /FontInfo 7 dict dup begin /version (1.0) readonly def /Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def /FullName (CMCSC10) readonly def /FamilyName (Computer Modern) readonly def /Weight (Medium) readonly def /ItalicAngle 0 def /isFixedPitch false def end readonly def /FontName /CMCSC10 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 34 /quotedblright put dup 40 /parenleft put dup 41 /parenright put dup 44 /comma put dup 45 /hyphen put dup 46 /period put dup 48 /zero put dup 49 /one put dup 51 /three put dup 52 /four put dup 53 /five put dup 54 /six put dup 55 /seven put dup 58 /colon put dup 65 /A put dup 66 /B put dup 67 /C put dup 68 /D put dup 69 /E put dup 70 /F put dup 71 /G put dup 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 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 88 /X put dup 89 /Y put dup 90 /Z put dup 92 /quotedblleft put dup 97 /a put dup 98 /b put dup 99 /c put dup 100 /d put dup 101 /e put dup 102 /f put dup 103 /g put dup 104 /h put dup 105 /i put dup 106 /j put dup 107 /k put dup 108 /l put dup 109 /m put dup 110 /n put dup 111 /o put dup 112 /p put dup 113 /q put dup 114 /r put dup 115 /s put dup 116 /t put dup 117 /u put dup 118 /v put dup 119 /w put dup 120 /x put dup 121 /y put dup 122 /z put readonly def /FontBBox{14 -250 1077 750}readonly def /UniqueID 5000772 def currentdict end currentfile eexec D9D66F633B846A97B686A97E45A3D0AA0529731C99A784CCBE85B4993B2EEBDE 3B12D472B7CF54651EF21185116A69AB1096ED4BAD2F646635E019B6417CC77B 532F85D811C70D1429A19A5307EF63EB5C5E02C89FC6C20F6D9D89E7D91FE470 B72BEFDA23F5DF76BE05AF4CE93137A219ED8A04A9D7D6FDF37E6B7FCDE0D90B 986423E5960A5D9FBB4C956556E8DF90CBFAEC476FA36FD9A5C8175C9AF513FE D919C2DDD26BDC0D99398B9F4D03D5993DFC0930297866E1CD0A30EB76029337 900ECFB1390CA5C0C3A04528044F266BA17BE487C79B94FAC6D6484684C5BFEA 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cleartomark %%EndFont %%BeginFont: CMMI9 %!PS-AdobeFont-1.1: CMMI9 1.100 %%CreationDate: 1996 Jul 23 07:53:55 % 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 (CMMI9) readonly def /FamilyName (Computer Modern) readonly def /Weight (Medium) readonly def /ItalicAngle -14.04 def /isFixedPitch false def end readonly def /FontName /CMMI9 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 59 /comma put dup 86 /V put dup 101 /e put dup 117 /u put dup 120 /x put readonly def /FontBBox{-29 -250 1075 750}readonly def /UniqueID 5087384 def currentdict end currentfile eexec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cleartomark %%EndFont %%BeginFont: CMSY9 %!PS-AdobeFont-1.1: CMSY9 1.0 %%CreationDate: 1991 Aug 15 07:22:27 % 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 (CMSY9) readonly def /FamilyName (Computer Modern) readonly def /Weight (Medium) readonly def /ItalicAngle -14.035 def /isFixedPitch false def end readonly def /FontName /CMSY9 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 readonly def /FontBBox{-30 -958 1146 777}readonly def /UniqueID 5000819 def currentdict end currentfile eexec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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 1 /Delta put dup 11 /ff put dup 12 /fi put dup 18 /grave put dup 19 /acute put dup 39 /quoteright put dup 40 /parenleft put dup 41 /parenright put dup 43 /plus put dup 44 /comma put dup 45 /hyphen put dup 46 /period put dup 48 /zero put dup 49 /one put dup 50 /two put dup 51 /three put dup 52 /four put dup 53 /five put dup 54 /six put dup 55 /seven put dup 56 /eight put dup 57 /nine put dup 58 /colon put dup 59 /semicolon 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 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0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 cleartomark %%EndFont TeXDict begin 39139632 55387786 1000 600 600 (Dolbeault-Esteban-Tarantello.dvi) @start /Fa 138[39 39 39 39 1[39 39 39 39 39 2[39 39 1[39 39 39 39 39 39 32[39 13[39 3[39 1[39 44[{}21 74.7198 /CMTT9 rf /Fb 201[44 2[44 44 44 49[{}4 74.7198 /CMBX9 rf /Fc 242[83 13[{}1 83.022 /CMSY10 rf /Fd 136[69 2[37 38 3[48 53 80 27 50 3[48 1[44 1[42 33[72 18[27 46[{}13 83.022 /CMBX10 rf /Fe 186[60 69[{}1 90.9091 /EUFM10 rf /Ff 252[71 3[{}1 90.9091 /MSAM10 rf /Fg 212[43 43[{}1 41.511 /CMR5 rf /Fh 222[66 33[{}1 58.1154 /CMSY7 rf /Fi 148[35 92[30 14[{}2 58.1154 /CMMI7 rf /Fj 205[33 33 33 48[{}3 58.1154 /CMR7 rf /Fk 148[43 88[39 3[37 14[{}3 83.022 /CMMI10 rf /Fl 134[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 10[62 62 60 46 61 65 57 65 62 76 52 2[30 62 1[54 57 63 60 1[62 3[65 2[23 1[42 42 4[42 42 42 1[23 28 23 2[32 32 23 65 2[69 23[48 11[{}59 83.022 /CMR10 rf /Fm 134[44 3[46 32 33 33 1[46 42 46 69 23 2[23 46 42 25 37 46 37 1[42 12[60 1[61 2[65 32[23 28 23 44[{}24 83.022 /CMSL10 rf /Fn 133[37 44 42 60 42 49 30 37 38 42 46 46 51 74 23 42 28 28 46 42 28 42 46 42 42 46 9[91 1[68 65 3[62 70 1[82 57 2[35 2[59 4[68 6[28 2[46 5[46 2[28 33 28 2[37 37 28 26[51 12[{}46 90.9091 /CMTI10 rf /Fo 188[34 17[61 18 47[48{}4 49.8132 /CMSY6 rf /Fp 135[48 2[51 35 36 36 1[51 45 51 76 25 1[28 25 51 45 28 40 51 40 1[45 50[25 1[25 44[{}21 90.9091 /CMSL10 rf /Fq 139[27 28 3[35 39 1[20 2[20 5[31 1[35 13[39 5[65 11[53 6[20 7[35 1[35 6[27 27 27[39 12[{}17 66.4176 /CMSL8 rf /Fr 132[39 1[37 35 51 35 41 25 31 32 35 39 39 43 63 20 2[24 39 35 24 35 39 35 35 39 3[24 39 24 5[57 55 43 2[52 59 57 69 1[59 40 30 57 1[50 52 58 55 1[57 6[24 39 39 39 39 39 39 1[39 39 39 1[24 27 24 2[31 31 5[39 14[39 6[43 47 11[{}62 74.7198 /CMTI9 rf /Fs 173[36 82[{}1 49.8132 /MSBM7 rf /Ft 173[48 3[48 78[{}2 66.4176 /MSBM7 rf /Fu 165[61 7[66 3[66 10[66 67[{}4 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55 1[48 54 1[50 53 3[55 3[35 35 35 35 35 35 35 35 35 35 1[20 24 20 55 1[27 27 17[35 22[{}49 66.4176 /CMR8 rf /FD 133[42 45 52 65 44 52 33 43 41 1[46 44 55 2[47 2[52 43 45 42 47 39 39 48 9[86 53 2[56 69 72 1[69 73 1[62 1[50 40 76 4[65 69 68 48 1[71 45 71 25 25 18[59 4[42 1[59 57 54 1[40 52 47 52 1[45 55 53 52 1[43 45 2[40 1[51 58 11[{}59 90.9091 /CMMI10 rf /FE 134[56 56 76 56 56 54 42 55 58 51 58 56 68 47 58 39 27 56 58 49 51 57 54 53 56 12[71 56 73 4[90 3[37 74 1[65 2[71 1[74 15[50 2[29 34 45[{}37 90.9091 /CMCSC10 rf /FF 133[40 48 48 66 48 51 35 36 36 48 51 45 51 76 25 48 28 25 51 45 28 40 51 40 51 45 3[25 45 25 3[93 1[68 66 51 67 1[62 71 68 83 57 71 1[33 68 71 59 62 69 66 64 68 3[71 1[25 25 45 45 45 45 45 45 45 45 45 45 1[25 30 25 71 1[35 35 25 4[45 11[45 2[45 4[76 1[51 53 4[66 4[76 57{}78 90.9091 /CMR10 rf /FG 135[44 2[44 15[36 14[45 26[21 59[{}5 74.7198 /CMMI9 rf /FH 255[60{}1 74.7198 /CMSY9 rf /FI 133[38 46 46 1[46 46 44 34 45 1[42 47 46 56 38 47 1[23 46 48 40 42 47 44 43 46 4[41 1[50 61 61 83 61 61 59 46 60 63 55 1[61 74 51 63 42 30 61 64 53 55 62 59 58 61 6[24 2[41 41 41 41 41 1[41 41 1[24 28 24 2[33 33 5[41 34[{}63 74.7198 /CMCSC10 rf /FJ 128[38 3[38 1[41 41 55 41 43 30 30 30 41 43 38 43 64 21 41 23 21 43 38 23 34 43 34 43 38 3[21 1[21 3[79 58 58 55 43 57 1[52 60 58 70 48 60 39 28 58 60 50 52 59 55 54 58 3[60 1[21 21 38 38 38 38 38 38 38 38 38 38 1[21 26 21 60 1[30 30 21 19[38 38 5[43 45 9[64 1[{}76 74.7198 /CMR9 rf /FK 133[46 55 1[76 55 58 41 41 43 55 58 52 58 87 29 55 1[29 58 52 32 48 58 46 58 51 7[79 1[108 1[80 73 58 78 79 71 79 82 99 63 82 1[40 82 82 66 69 80 76 74 79 7[52 52 52 52 52 52 52 52 52 52 1[29 35 29 2[41 41 29 39[{}62 90.9091 /CMBX10 rf end %%EndProlog %%BeginSetup %%Feature: *Resolution 600dpi TeXDict begin %%BeginPaperSize: a4 a4 %%EndPaperSize end %%EndSetup %%Page: 1 1 TeXDict begin 1 0 bop 449 724 a FK(A)45 b(WEIGHTED)f(MOSER-TR)m (UDINGER)i(INEQUALITY)e(AND)387 841 y(ITS)g(RELA)-9 b(TION)45 b(TO)f(THE)h(CAFF)-12 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%%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: Figure.eps 1 %%EndPageComments %%BeginPageSetup /currentdistillerparams where {pop currentdistillerparams /CoreDistVersion get 5000 lt} {true} ifelse { userdict 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47.2691 211.768 li 47.1539 211.836 li 47.0391 211.903 li 46.9239 211.973 li 46.8086 212.041 li 46.6934 212.11 li 46.5782 212.18 li 46.4629 212.249 li 46.3477 212.318 li 46.2325 212.387 li 46.1172 212.456 li 46.002 212.525 li 45.8868 212.597 li 45.772 212.666 li 45.6568 212.734 li 45.5416 212.804 li 45.4263 212.873 li 45.3111 212.944 li 45.1958 213.014 li 45.0806 213.083 li 44.9654 213.154 li 44.8501 213.224 li 44.7349 213.295 li 44.6202 213.364 li 44.5049 213.436 li 44.3897 213.504 li 44.2745 213.576 li 44.1592 213.645 li 44.044 213.716 li 43.9288 213.785 li 43.8135 213.856 li 43.6983 213.928 li 43.5831 214 li 43.4683 214.068 li 43.3531 214.141 li 43.2378 214.212 li 43.1226 214.283 li 43.0074 214.354 li 42.8921 214.426 li 42.7769 214.497 li 42.6617 214.566 li 42.5464 214.638 li 42.4312 214.709 li 42.316 214.783 li 42.2012 214.854 li 42.086 214.926 li 41.9708 214.997 li 41.8555 215.068 li 41.7403 215.14 li 41.625 215.211 li 41.5098 215.285 li 41.3946 215.356 li 41.2793 215.428 li 41.1641 215.502 li 41.0494 215.573 li 40.9341 215.645 li 40.8189 215.718 li 40.7037 215.79 li 40.5884 215.863 li 40.4732 215.935 li 40.358 216.009 li 40.2427 216.08 li 40.1275 216.153 li 40.0123 216.225 li 39.897 216.299 li 39.7823 216.372 li 39.667 216.444 li 39.5518 216.518 li 39.4366 216.592 li 39.3213 216.665 li 39.2061 216.736 li 39.0909 216.811 li 38.9756 216.884 li 38.8604 216.958 li 38.7452 217.031 li 38.6304 217.105 li 38.5152 217.179 li 38.4 217.253 li 38.2847 217.326 li 38.1695 217.4 li 38.0542 217.474 li 37.939 217.548 li 37.8238 217.621 li 37.7085 217.695 li 37.5933 217.769 li 37.4781 217.845 li 37.3633 217.918 li 37.2481 217.992 li 37.1329 218.065 li 37.0176 218.142 li 0 0 0 0.2 cmyk f grestore % PSGState 152.206 184.403 mo 186.762 106.652 li 186.762 34.6592 li 117.649 103.772 li 117.649 178.356 li 0 0 0 0.4 cmyk f 152.206 184.403 mo 186.762 125.658 li 186.762 149.847 li 117.649 218.96 li 117.649 191.66 li 0 0 0 0.65 cmyk f gsave % PSGState 37.0176 241.997 mo 267.393 241.997 li 267.393 11.6216 li 37.0176 11.6216 li 37.0176 241.997 li clp 0.5 lw 37.0176 218.142 mo 46.3638 212.309 li 56.5557 206.467 li 66.128 201.529 li 75.3335 197.334 li 85.1314 193.515 li 94.565 190.497 li 104.589 188.016 li 109.611 187.048 li 114.249 186.311 li 119.045 185.698 li 123.54 185.251 li 128.071 184.917 li 130.474 184.781 li 133.059 184.661 li 135.503 184.576 li 136.796 184.539 li 138.171 184.507 li 139.493 184.48 li 140.691 184.461 li 141.806 184.444 li 143.032 184.434 li 144.211 184.422 li 144.813 184.42 li 145.456 184.415 li 146.059 184.412 li 146.61 184.41 li 147.133 184.408 li 147.688 184.408 li 148.331 184.405 li 148.925 184.405 li 149.257 184.403 li 149.565 184.403 li 149.906 184.403 li 150.272 184.403 li 150.57 184.403 li 150.74 184.403 li 150.897 184.403 li 151.212 184.403 li 151.39 184.403 li 151.551 184.403 li 151.841 184.403 li 152.155 184.403 li 152.45 183.913 li 152.724 183.366 li 162.254 164.343 li 171.418 146.237 li 181.178 127.335 li 190.567 109.642 li 200.555 91.4742 li 94.6114 241.997 mo 104.589 232.02 li 114.249 222.36 li 123.54 213.069 li 133.425 203.184 li 142.944 193.664 li 152.097 184.512 li 161.842 174.767 li 171.221 165.389 li 181.194 155.415 li 190.797 145.811 li 200.036 136.573 li 209.868 126.74 li 219.334 117.274 li 229.393 107.216 li 239.084 97.524 li 248.411 88.1983 li 258.329 78.2808 li 267.393 69.2154 li 0 0 0 1 cmyk @ 200.555 91.4742 mo 210.17 74.6592 li 219.422 59.1319 li 229.266 43.2916 li 238.743 28.6763 li 248.815 13.771 li @ 117.649 236.237 mo 117.649 86.4937 li 186.762 167.125 mo 186.762 153.406 li 186.762 153.406 mo 186.762 151.823 li 186.762 151.823 mo 186.762 17.3809 li 200.036 21.3848 mo 209.799 11.6216 li 37.0176 184.403 mo 46.3638 175.057 li 56.5557 164.865 li 66.128 155.293 li 75.3335 146.087 li 85.1314 136.289 li 94.565 126.855 li 104.589 116.832 li 114.249 107.172 li 123.54 97.8809 li 133.425 87.9957 li 142.944 78.4766 li 152.097 69.3238 li 161.842 59.5787 li 171.221 50.2002 li 181.194 40.2271 li 190.797 30.6231 li 200.036 21.3848 li 248.815 13.771 mo 250.327 11.6216 li @ grestore % PSGState 37.0176 11.6216 mo 37.0176 28.9 li 60.0552 28.9 li 60.0552 11.6216 li 0 0 0 0.2 cmyk f 37.0176 46.1778 mo 37.0176 63.4561 li 60.0552 63.4561 li 60.0552 46.1778 li 0 0 0 0.65 cmyk f 37.0176 80.7339 mo 37.0176 98.0123 li 60.0552 98.0123 li 60.0552 80.7339 li 0 0 0 0.4 cmyk f 0.5 lw 90.2413 164.884 mo 89.7759 166.425 li 89.315 168.116 li 88.921 169.717 li 88.5826 171.265 li 88.2623 172.919 li 87.9952 174.521 li 87.7554 176.23 li 87.5665 177.882 li 87.4258 179.476 li 87.3707 180.282 li 87.3199 181.174 li 87.2832 182.017 li 87.2691 182.396 li 87.2579 182.81 li 87.253 183.032 li 87.251 183.242 li 87.2461 183.456 li 87.2437 183.652 li 87.2418 183.844 li 87.2418 183.934 li 87.2393 184.025 li 87.2393 184.125 li 87.2393 184.168 li 87.2393 184.217 li 87.2393 184.268 li 87.2393 184.315 li 87.2393 184.344 li 87.2393 184.371 li 87.2393 184.424 li 87.2393 184.47 li 87.2393 184.523 li 87.2393 184.571 li 87.2393 184.615 li 87.2393 184.717 li 87.2418 184.825 li 87.2418 184.931 li 87.2418 185.03 li 87.2437 185.254 li 87.251 185.624 li 87.2598 186.019 li 87.2715 186.444 li 87.2876 186.907 li 87.3248 187.746 li 87.3731 188.571 li 87.4351 189.446 li 87.5757 191.018 li 87.7691 192.686 li 87.9952 194.284 li 88.2784 195.98 li 220.731 76.1334 mo 219.922 75.6265 li 219.036 75.0787 li 218.198 74.5718 li 217.389 74.0904 li 216.526 73.5835 li 215.69 73.1041 li 214.799 72.5997 li 213.934 72.1207 li 213.1 71.6666 li 212.209 71.1895 li 211.35 70.7359 li 210.518 70.3072 li 209.629 69.858 li 208.77 69.4322 li 207.854 68.9849 li 206.967 68.5635 li 206.114 68.1626 li 205.198 67.7432 li 204.317 67.3472 li 203.376 66.9322 li 202.467 66.5406 li 201.588 66.17 li 200.651 65.7828 li 199.792 65.4351 li 152.206 184.403 mo 150.544 184.055 li 150.544 184.055 mo 78.8926 171.573 li 152.206 184.403 mo 79.6368 199.643 li 152.206 184.403 mo 210.334 53.6119 li 152.206 184.403 mo 224.774 61.0372 li 0 0 0 1 cmyk @ 88.2784 195.98 mo 88.5938 197.604 li 88.9371 199.159 li 89.3428 200.804 li 89.7759 202.377 li 90.2413 203.923 li @ 37.0176 184.403 mo 267.393 184.403 li 0 0 0 0 cmyk f 0.5 lw 0 lc 0 lj 4 ml 37.0176 184.403 mo 267.393 184.403 li 0 0 0 1 cmyk @ 270.411 184.403 mo 268.991 184.93 267.229 185.829 266.137 186.781 cv 266.998 184.403 li 266.137 182.025 li 267.229 182.978 268.991 183.877 270.411 184.403 cv f 152.206 241.997 mo 152.206 11.6216 li 0 0 0 0 cmyk f 152.206 241.997 mo 152.206 11.6216 li 0 0 0 1 cmyk @ 152.206 8.60401 mo 152.732 10.0235 153.631 11.7852 154.583 12.877 cv 152.206 12.0171 li 149.828 12.877 li 150.78 11.7852 151.679 10.0235 152.206 8.60401 cv f /1 [/DeviceGray] add_csa 0 gry %ADOBeginSubsetFont: CMMI10 Initial %ADOt1write: (1.0.21) %%Copyright: Copyright 2007 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 dup 98 /b 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 3 dict dup begin /a <1C60D8A8C9B08A95D27357321AC68CEEC834EC94D10EA3E78C726CA3177E 8717935904A55FA18724F87A61CF583DB007EF637959D1CFBEDB886F71F9E399 E771719DAB5DFBFA1453DC92615AAD6C08554ECEA3914E48960AE92ECE2EC3A5 A57250C3690174D0C8C6D62988AAFC46EBCB9B14328A0DA0BA5405BFDDC89026 90734F8B7B3FE0611A1228263A48B9115BFCE5D96240A0111AC84BB7F4FC90EB A1E3D508FDFEBB972EC1693F628A373424F66611F506> |- /b <1C60D8A8C9B08A95BBD9F75FAAAC6725EBDCAC9D0E4CF99CBA1559718196 0086946AFA85C33BC22F665D69F384EADED3A4DE59CB8931BDC9A8F489BBB732 8635D8163687D3C8C825B89C0A80474CA1159E8BA670F336FAC645A0D51773B3 63DC02E871256E0EFAA13A9B41C1E07B80DD7D823C43698FCCAA4948644435E1 03CC684312A9E5249D188785A659D90533F87A178A8AEDA803F79290A15536DB E01E58C29867FE5BBE9FA0B78D1B> |- /.notdef <1C60D8A8C9C4A637> |- end put end dup /FontName get exch definefont pop end %ADOEndSubsetFont /GEELMO+CMMI10 /CMMI10 findfont def /GEELMO+CMMI10*1 [ 97{/.notdef}repeat /a /b 157{/.notdef}repeat ] GEELMO+CMMI10 nfnt GEELMO+CMMI10*1 [14.3231 0 -0 -12.3461 0 0 ]mfnt sfnt 265.25 177.142 mov (a) sh 157.25 10.3892 mov (b) sh %ADOBeginSubsetFont: CMR10 Initial %ADOt1write: (1.0.21) %%Copyright: Copyright 2007 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 39 /quoteright put dup 40 /parenleft put dup 41 /parenright put dup 105 /i 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 5 dict dup begin /quoteright <1C60D8A8C9B08A957081098167591BEF4B3A9D4F19CA1434DE7 FAD749B25F3083564DA07E11BCDD9EEDD273B86641C0682199379CDB86FD7EDE 921BFD1FED9D31D3E59D64AFBAC1D093714C274C0953106FABD06A18FFC1D99C 0EE15> |- /parenleft <1C60D8A8C9B08A958B2129D6E9761120E2D623F206A8BB61D8ED 90A20EE239C62172B553BFF416342D6CD99C95C515CA225C40039DBAF08CE4F0 55B08F39C15D29C99EF3EDD066CCCEF8932365A3BB1620FA5F0BCE8AF21A5BDE C0FFD55FA45F247FC811007CB408F0DCDD3AE01E3246> |- /parenright <1C60D8A8C9B08A958B2129D6E9761120E2D623F206A8A207F03 DEA8F466C0D4F860EDF515D421F89285FC2D8EC76F5E903EDE1B5CFFAEC5DEA9 22C7FC4A51953A99A5FB1F96793348D816F60492670058F4DEA6D328AB20FBAD B3C1B57A79D8CCD13A3C6D068BAD5F09F347ED0C895> |- /i <1C60D8A8C9B08A9570810981675968AD25F24D2B3EAE33A4AEDADBE9B65D A53E9F2E54B16133284CA9914BED3880C793207FBDC7926300AD07E6E54407B5 1EA082FB5EE3816A6A23A8296A947037E49B372BD5DFBDAE3E0626953F75EA84 BE757683B949F1DE2291C5796E30589D0B63B15E0D5680411C> |- /.notdef <1C60D8A8C9B08A959E2F69652E8B8F> |- end put end dup /FontName get exch definefont pop end %ADOEndSubsetFont /FEELMO+CMR10 /CMR10 findfont def /FEELMO+CMR10*1 [ 39{/.notdef}repeat /quoteright /parenleft /parenright 63{/.notdef} repeat /i 150{/.notdef}repeat ] FEELMO+CMR10 nfnt FEELMO+CMR10*1 [14.3231 0 -0 -12.3461 0 0 ]mfnt sfnt 62.25 23.0015 mov -0.0573425 0 (\(i) ash 71.7031 23.0015 mov (\)) sh 61.25 57.4995 mov 0.000396729 0 39 -0.0431824 0 (\(i'\)) awsh 62 92.1118 mov -0.0431824 0 (\(ii) ash 75.3979 92.1118 mov (\)) sh GEELMO+CMMI10*1 [14.3231 0 -0 -12.3461 0 0 ]mfnt sfnt 207.5 45.6089 mov (b) sh %ADOBeginSubsetFont: CMR10 AddGlyphs %ADOt1write: (1.0.21) %%Copyright: Copyright 2007 Adobe System Incorporated. All rights reserved. systemdict begin FEELMO+CMR10 dup /Private get dup rcheck {begin true}{pop false}ifelse exch /CharStrings get begin systemdict /gcheck known {currentglobal currentdict gcheck setglobal} if /equal <1C60D8A8C9B08A946182837629008D945C50B3BD77B79680F3B07BDA 6301D2521ADF665EADEA779B8650AC6CDB556621631497A3BE00C67036F6EB06 05A36A2C0EE306396247E4A79F8EFAE500D78B59605F041F11> |- systemdict /gcheck known {setglobal} if end {end} if end FEELMO+CMR10 /Encoding get dup 61 /equal put pop %ADOEndSubsetFont /FEELMO+CMR10*2 [ 61{/.notdef}repeat /equal 194{/.notdef}repeat ] FEELMO+CMR10 nfnt FEELMO+CMR10*2 [14.3231 0 -0 -12.3461 0 0 ]mfnt sfnt 217.583 45.6089 mov (=) sh %ADOBeginSubsetFont: CMMI10 AddGlyphs %ADOt1write: (1.0.21) %%Copyright: Copyright 2007 Adobe System Incorporated. All rights reserved. systemdict begin GEELMO+CMMI10 dup /Private get dup rcheck {begin true}{pop false}ifelse exch /CharStrings get begin systemdict /gcheck known {currentglobal currentdict gcheck setglobal} if /h <1C60D8A8C9B08A95FDA51623F05A9A2A6A39B89F3D1AEC8E6882E4D019E1 EE3223B66B835C1174F8C5429EAD86EA601E4FC28631B1D67DCF29EC42E04D3C 74542CA2FBA0C8154F3A53051AC0DB78AE992444AECB4217EB99799151B96ED6 AE1DE5C963717AC77B1F3A3EA78590F90E1ED5B4498744948FEB244C927BD3AE 5FBE0FC3AA3FD5A9B513CE6C9EA44D5CCC69E35CE37CB1A3E850907DF2EA15E3 404DC084C10A795994F3371440E1112C3C94D1096ADBA695C40A06057CB81382 2FCD5DD9B3083266A83755D398C3> |- systemdict /gcheck known {setglobal} if end {end} if end GEELMO+CMMI10 /Encoding get dup 104 /h put pop %ADOEndSubsetFont /GEELMO+CMMI10*2 [ 104{/.notdef}repeat /h 151{/.notdef}repeat ] GEELMO+CMMI10 nfnt GEELMO+CMMI10*2 [14.3231 0 -0 -12.3461 0 0 ]mfnt sfnt 232.709 45.6089 mov (h) sh FEELMO+CMR10*1 [14.3231 0 -0 -12.3461 0 0 ]mfnt sfnt 240.902 45.6089 mov (\() sh GEELMO+CMMI10*1 [14.3231 0 -0 -12.3461 0 0 ]mfnt sfnt 246.417 45.6089 mov (a) sh FEELMO+CMR10*1 [14.3231 0 -0 -12.3461 0 0 ]mfnt sfnt 253.979 45.6089 mov (\)) sh GEELMO+CMMI10*1 [14.3231 0 -0 -12.3461 0 0 ]mfnt sfnt 211.75 137.471 mov (b) sh FEELMO+CMR10*2 [14.3231 0 -0 -12.3461 0 0 ]mfnt sfnt 221.833 137.471 mov (=) sh GEELMO+CMMI10*1 [14.3231 0 -0 -12.3461 0 0 ]mfnt sfnt 236.959 137.471 mov (a) sh 39.75 122.719 mov (b) sh FEELMO+CMR10*2 [14.3231 0 -0 -12.3461 0 0 ]mfnt sfnt 49.833 122.719 mov (=) sh GEELMO+CMMI10*1 [14.3231 0 -0 -12.3461 0 0 ]mfnt sfnt 64.959 122.719 mov (a) sh %ADOBeginSubsetFont: CMR10 AddGlyphs %ADOt1write: (1.0.21) %%Copyright: Copyright 2007 Adobe System Incorporated. All rights reserved. systemdict begin FEELMO+CMR10 dup /Private get dup rcheck {begin true}{pop false}ifelse exch /CharStrings get begin systemdict /gcheck known {currentglobal currentdict gcheck setglobal} if /plus <1C60D8A8C9B08A9461828376290042B3B0012119E49A5F8A40FFB07EC 16079327C8839C8F2280897EA08CCF42D3B4E2B36A495896A102B0E0B676D7CD E615B4B502BC24C313F43E124C5C3EF4728FA76AB60F029D0136D86C00EF66A5 8511B752E> |- /one <1C60D8A8C9B7A73DC579B9CE13A4EA8C203AFC890ABD6F58341B006CF1 BDD8FED3A7238E01F751FEAC75885229C293891E5636AD630D9C884528B6FEF0 0728A740ED77D054B4743ECA5E3947520FEF6B23D548765D11> |- systemdict /gcheck known {setglobal} if end {end} if end FEELMO+CMR10 /Encoding get dup 43 /plus put dup 49 /one put pop %ADOEndSubsetFont /FEELMO+CMR10*3 [ 43{/.notdef}repeat /plus 5{/.notdef}repeat /one 206{/.notdef}repeat ] FEELMO+CMR10 nfnt FEELMO+CMR10*3 [14.3231 0 -0 -12.3461 0 0 ]mfnt sfnt 75.6729 122.719 mov 3.19389 0 (+1) ash %ADOBeginSubsetFont: CMMI10 AddGlyphs %ADOt1write: (1.0.21) %%Copyright: Copyright 2007 Adobe System Incorporated. All rights reserved. systemdict begin GEELMO+CMMI10 dup /Private get dup rcheck {begin true}{pop false}ifelse exch /CharStrings get begin systemdict /gcheck known {currentglobal currentdict gcheck setglobal} if /delta <1C60D8A8C9B08A95B1F07368C45D7269781E7C51F514F52107D24356 369005A1F4FA68EDF381014E437210F2229D349E0457E66A6097C14B9AF50EB4 5D28AEBDCD1E82E3DBEEDD29570F506DAF6B0BE42D3CD65494C80E0E37455FBC CED3F1E63CA49900136E1C987DBF6C83A54A26205AA51003DBFC4B00F4DA8C27 BC9E30E2A6DE6E2FD59672396001FEFDB56EA164BA1581FCE0FE52B5DB32> |- /theta <1C60D8A8C9B08A95ABF63B6290C8E174A2262A2DA3C5C5CC2C67FFE6 7E50BD11EF2C35A221F8FE489C3717D3FBB902A6523ABD741AEB9147BD72C613 D6C78E4D47C010853E4B2CAA6589B325230E721D99E17293BC7A25D73B1157D4 284E537E9D1FF11963EC040408DC107B2B37349BDCFFD94B554D9A1E2E4FC1AE 4BAB8DF33CE3E7> |- systemdict /gcheck known {setglobal} if end {end} if end GEELMO+CMMI10 /Encoding get dup 14 /delta put dup 177 /delta put dup 18 /theta put dup 181 /theta put pop %ADOEndSubsetFont /GEELMO+CMMI10*3 [ 177{/.notdef}repeat /delta 3{/.notdef}repeat /theta 74{/.notdef}repeat ] GEELMO+CMMI10 nfnt GEELMO+CMMI10*3 [14.3231 0 -0 -12.3461 0 0 ]mfnt sfnt 167 218.468 mov (\261) sh 50.5 179.915 mov (\265) sh %ADOBeginSubsetFont: CMR8 Initial %ADOt1write: (1.0.21) %%Copyright: Copyright 2007 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 /EEELMO+CMR8 /CMR8 findfont def /EEELMO+CMR8*1 [ 49{/.notdef}repeat /one 206{/.notdef}repeat ] EEELMO+CMR8 nfnt EEELMO+CMR8*1 [10.4644 0 -0 -9.01999 0 0 ]mfnt sfnt 57.0244 181.814 mov (1) sh FEELMO+CMR10*1 [14.3231 0 -0 -12.3461 0 0 ]mfnt sfnt 63.4189 179.915 mov (\() sh GEELMO+CMMI10*3 [14.3231 0 -0 -12.3461 0 0 ]mfnt sfnt 68.9336 179.915 mov (\261) sh FEELMO+CMR10*1 [14.3231 0 -0 -12.3461 0 0 ]mfnt sfnt 75.709 179.915 mov (\)) sh GEELMO+CMMI10*3 [14.3231 0 -0 -12.3461 0 0 ]mfnt sfnt 221.5 73.5771 mov (\265) sh %ADOBeginSubsetFont: CMR8 AddGlyphs %ADOt1write: (1.0.21) %%Copyright: Copyright 2007 Adobe System Incorporated. All rights reserved. systemdict begin EEELMO+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 EEELMO+CMR8 /Encoding get dup 50 /two put pop %ADOEndSubsetFont /EEELMO+CMR8*2 [ 50{/.notdef}repeat /two 205{/.notdef}repeat ] EEELMO+CMR8 nfnt EEELMO+CMR8*2 [10.4644 0 -0 -9.01999 0 0 ]mfnt sfnt 228.274 75.4785 mov (2) sh FEELMO+CMR10*1 [14.3231 0 -0 -12.3461 0 0 ]mfnt sfnt 234.419 73.5771 mov (\() sh GEELMO+CMMI10*3 [14.3231 0 -0 -12.3461 0 0 ]mfnt sfnt 239.934 73.5771 mov (\261) sh FEELMO+CMR10*1 [14.3231 0 -0 -12.3461 0 0 ]mfnt sfnt 246.709 73.5771 mov (\)) sh GEELMO+CMMI10*1 [14.3231 0 -0 -12.3461 0 0 ]mfnt sfnt 0 207.109 mov (b) sh FEELMO+CMR10*2 [14.3231 0 -0 -12.3461 0 0 ]mfnt sfnt 10.083 207.109 mov (=) sh GEELMO+CMMI10*2 [14.3231 0 -0 -12.3461 0 0 ]mfnt sfnt 25.209 207.109 mov (h) sh FEELMO+CMR10*1 [14.3231 0 -0 -12.3461 0 0 ]mfnt sfnt 33.4023 207.109 mov (\() sh GEELMO+CMMI10*1 [14.3231 0 -0 -12.3461 0 0 ]mfnt sfnt 38.917 207.109 mov (a) sh FEELMO+CMR10*1 [14.3231 0 -0 -12.3461 0 0 ]mfnt sfnt 46.4795 207.109 mov (\)) sh GEELMO+CMMI10*3 [14.3231 0 -0 -12.3461 0 0 ]mfnt sfnt 131.25 236.468 mov (\261) sh 120.977 224.497 mo 148.727 224.497 li 0 0 0 1 cmyk f 120.977 224.497 mo 148.727 224.497 li @ 151.744 224.497 mo 150.325 225.023 148.563 225.923 147.471 226.875 cv 148.331 224.497 li 147.471 222.119 li 148.563 223.071 150.325 223.971 151.744 224.497 cv f 117.959 224.497 mo 119.378 223.97 121.14 223.071 122.232 222.119 cv 121.372 224.497 li 122.232 226.874 li 121.14 225.923 119.378 225.023 117.959 224.497 cv f 155.81 206.413 mo 183.56 206.413 li f 155.81 206.413 mo 183.56 206.413 li @ 186.578 206.413 mo 185.159 206.939 183.397 207.839 182.305 208.791 cv 183.165 206.413 li 182.305 204.035 li 183.397 204.987 185.159 205.887 186.578 206.413 cv f 152.792 206.413 mo 154.211 205.886 155.973 204.987 157.065 204.035 cv 156.206 206.413 li 157.065 208.79 li 155.973 207.839 154.211 206.939 152.792 206.413 cv f 0.5 lw 1 lc 1 lj 10 ml 186.762 181.209 mo 186.762 167.49 li @ 186.762 195.291 mo 186.762 181.572 li @ 186.763 209.292 mo 186.763 195.573 li @ %ADOBeginClientInjection: EndPageContent "AI11EPS" userdict /annotatepage 2 copy known {get exec}{pop pop} ifelse %ADOEndClientInjection: EndPageContent "AI11EPS" % page clip grestore grestore % PSGState /GEELMO+CMMI10*1 ufnt /GEELMO+CMMI10*2 ufnt /GEELMO+CMMI10*3 ufnt /FEELMO+CMR10*1 ufnt /FEELMO+CMR10*2 ufnt /FEELMO+CMR10*3 ufnt /EEELMO+CMR8*1 ufnt /EEELMO+CMR8*2 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: (Figure.eps) %%CreationDate: 29/03/07 7:46 %AI9_DataStream %Gb"-6H#FtMOXKu3i]HY%"sgi/1;^q)6!,6?k)o_1S$ $;MRk;IV@[_@+coO3+Dps&cng[2nrlL*g& %ro'2VbF>QA5;k`EmVX-2o]eBM)gXRDs56i*&&7otT?ET#rorI`S*TIRkAON $g3pTD^=dDlmQXr>SqV5L2h&r@puB9Bq^pWacZ8m6 %[r62VhJL$$Y&3(pq?-]oJ02Y;r;$*Aa%%%.4`R- MXFBc=Ir:&6bHq3'qQlcST.Oui:M9-7m_6+gFgKg6Rek]Un#l+,^ [SqbbMPKhn(^@HE')XdQ1m@m5s*eYhq^HBO6pk*.Pc/Zq %0,Y]V?h@Mg(d[U6flLd./Hca-o3d/3)j<9Xo]aRhHZ"FTE_f-pm9d$*J,SK^Dm%r'h`fm [r#iNCc1P;W`l7o:n#ubDcu)DEg_shJ %#Pn=B:H.&*5Mf^2$CWPqSYUhogqDJ!r:8'r<]2m<5fLI1N#m#U+0P%hD]`],hVC:W? 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Fy(1)1173 4712 y FA(c)1254 4690 y FF(\()p Fu(R)1355 4657 y FC(2)1394 4690 y FF(\))31 b(and)f FD(w)1702 4704 y FA(")1735 4712 y Fw(n)1806 4690 y FF(=)25 b(\(1)c(+)f FD(")2136 4704 y FA(n)2199 4690 y FD(v)s FF(\))15 b FD(u)2348 4704 y FA(")2381 4712 y Fw(n)2428 4690 y FF(,)30 b(w)m(e)h(ha)m(v)m(e)565 4843 y(1)p 522 4884 132 4 v 522 4967 a FD(\024)574 4981 y FA(")607 4989 y Fw(n)663 4781 y FB(Z)714 4987 y Ft(R)762 4968 y Fz(2)795 4843 y Fv(j)p FD(w)885 4857 y FA(")918 4865 y Fw(n)965 4843 y Fv(j)990 4810 y FA(p)1026 4818 y Fw(n)p 795 4884 277 4 v 805 4967 a Fv(j)p FD(x)p Fv(j)907 4941 y FA(b)937 4949 y Fw(n)980 4941 y FA(p)1016 4949 y Fw(n)1108 4905 y FD(dx)25 b FF(=)1313 4781 y FB(Z)1363 4987 y Ft(R)1411 4968 y Fz(2)1435 4905 y Fv(j)p FF(1)c(+)f FD(")1659 4919 y FA(n)1721 4905 y FD(v)s Fv(j)1825 4833 y Fz(2)p 1804 4845 72 3 v 1804 4887 a Fw(")1833 4895 y(n)1997 4843 y FD(f)2042 4857 y FA(")2075 4865 y Fw(n)2146 4843 y FD(dx)p 1925 4884 394 4 v 1925 4895 a FB(R)1968 5000 y Ft(R)2016 4981 y Fz(2)2070 4968 y FD(f)2115 4982 y FA(")2148 4990 y Fw(n)2219 4968 y FD(dx)2353 4905 y Fv(!)2454 4781 y FB(Z)2505 4987 y Ft(R)2553 4968 y Fz(2)2607 4905 y FD(e)2649 4867 y FC(2)p FA(v)2740 4905 y FD(d\026)2842 4919 y FA(\013)2917 4905 y FD(;)565 5111 y FF(1)p 522 5151 133 4 v 522 5235 a FD(\025)575 5249 y FA(")608 5257 y Fw(n)679 5049 y FB(Z)730 5255 y Ft(R)778 5236 y Fz(2)842 5111 y Fv(jr)p FD(w)1008 5125 y FA(")1041 5133 y Fw(n)1087 5111 y Fv(j)1112 5078 y FC(2)p 842 5151 311 4 v 886 5235 a Fv(j)p FD(x)p Fv(j)988 5208 y FC(2)p FA(a)1060 5216 y Fw(n)1187 5172 y FD(dx)25 b FF(=)g(1)c(+)f FD(")1606 5186 y FA(n)1668 5044 y FB(\022)1735 5049 y(Z)1786 5255 y Ft(R)1834 5236 y Fz(2)1888 5172 y FF(2)p FD(v)f(d\026)2098 5186 y FA(\013)2167 5172 y FF(+)2454 5111 y(1)p 2268 5151 417 4 v 2268 5235 a(4)c(\(1)22 b(+)e FD(\013)p FF(\))15 b FD(\031)2710 5172 y Fv(kr)p FD(v)s Fv(k)2923 5135 y FC(2)2923 5195 y(2)2963 5044 y FB(\023)3050 5172 y FF(+)20 b FD(O)s FF(\()p FD(")3290 5135 y FC(2)3290 5195 y 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y(quir)g(e)g(d)37 b(by)g(Pr)-5 b(op)g(osition)39 b(7.)55 b(In)37 b(p)-5 b(articular,)40 b(for)d FD(\013)c FF(=)g(0)p Fn(,)38 b(this)f(gives)f(a)h(pr)-5 b(o)g(of)39 b(of)e(the)386 783 y(Moser-T)-7 b(rudinger)38 b(ine)-5 b(quality)38 b(on)g Fu(R)1711 750 y FC(2)1787 783 y Fn(as)g(a)g(c)-5 b(onse)g(quenc)g(e)38 b(of)g(ine)-5 b(quality)46 b FF(\(3\))q Fn(.)56 b(Us-)386 890 y(ing)34 b(the)h(inverse)f FF(\006)1074 904 y FC(0)1148 890 y Fn(of)h(the)g(ster)-5 b(e)g(o)g(gr)g(aphic)38 b(pr)-5 b(oje)g(ction,)37 b(this)e(also)g(pr)-5 b(oves)36 b(Onofri's)386 998 y(ine)-5 b(quality)41 b FF(\(1\))34 b Fn(on)f FD(S)1145 965 y FC(2)1184 998 y Fn(.)486 1181 y FF(Let)d(us)g(no)m(w)g(consider)h(another)f(asymptotic)i(regime)f(in) f(whic)m(h)g FD(\013)c Fv(!)f(1)p FF(.)386 1363 y FK(Prop)s(osition)41 b(9.)i Fn(If)36 b FF(\()p FD(")1256 1377 y FA(n)1304 1363 y FF(\))1339 1377 y FA(n)p Fy(2)p Ft(N)1518 1363 y Fn(and)h FF(\()p FD(\013)1791 1377 y FA(n)1838 1363 y FF(\))1873 1377 y FA(n)p Fy(2)p Ft(N)2051 1363 y Fn(ar)-5 b(e)37 b(two)h(se)-5 b(quenc)g(es)36 b(of)g(p)-5 b(ositive)37 b(r)-5 b(e)g(al)386 1471 y(numb)g(ers)33 b(such)g(that)h(as)f FD(n)25 b Fv(!)g FF(+)p Fv(1)p Fn(,)454 1671 y FF(lim)398 1726 y FA(n)p Fy(!)p FC(+)p Fy(1)652 1671 y FD(")694 1685 y FA(n)766 1671 y FF(=)g(0)h FD(;)165 b FF(lim)1066 1726 y FA(n)p Fy(!)p FC(+)p Fy(1)1320 1671 y FD(\013)1378 1685 y FA(n)1451 1671 y FF(=)25 b(+)p Fv(1)92 b Fn(and)i FD(a)2086 1685 y FA(n)2159 1671 y FF(=)25 b Fv(\000)2413 1609 y FD(")2455 1623 y FA(n)p 2336 1650 246 4 v 2336 1733 a FF(1)20 b Fv(\000)g FD(")2534 1747 y FA(n)2606 1671 y FF(\(1)h(+)f FD(\013)2856 1685 y FA(n)2903 1671 y FF(\))90 b Fv(!)2953 1726 y FA(n)p Fy(!)p FC(+)p Fy(1)3208 1671 y FF(0)3253 1685 y Fy(\000)3338 1671 y FD(;)386 1891 y Fn(then)41 b(for)f FD(n)g Fn(lar)-5 b(ge)41 b(enough,)h(the)f(r) -5 b(adial)5 b(ly)42 b(symmetric)f(extr)-5 b(emal)42 b FD(u)2787 1905 y FA(")2820 1913 y Fw(n)2907 1891 y Fn(c)-5 b(annot)41 b(b)-5 b(e)40 b(a)386 1999 y(glob)-5 b(al)34 b(extr)-5 b(emal)34 b(for)f(ine)-5 b(quality)42 b FF(\(3\))q Fn(.)386 2181 y(Pr)-5 b(o)g(of.)43 b FF(W)-8 b(e)38 b(argue)f(b)m(y)f(con)m(tradiction)j(and)d(assume)h(that)g (\(8\))h(holds)e(with)h(resp)s(ect)386 2289 y(to)29 b(the)g(giv)m(en)g (c)m(hoice)h(of)f(parameters.)40 b(By)29 b(de\014nition)f(of)g FD(\025)2457 2303 y FA(")2490 2311 y Fw(n)2536 2289 y FF(,)h FD(\024)2642 2303 y FA(")2675 2311 y Fw(n)2722 2289 y FF(,)g(and)f(Leb)s(esgue's)386 2397 y(theorem)j(of)f(dominated)h (con)m(v)m(ergence,)i(w)m(e)e(kno)m(w)f(that)972 2621 y(lim)916 2677 y FA(n)p Fy(!)p FC(+)p Fy(1)1186 2560 y FD(\025)1239 2574 y FA(")1272 2582 y Fw(n)p 1180 2600 146 4 v 1180 2684 a Fv(j)p FD(a)1253 2698 y FA(n)1300 2684 y Fv(j)1360 2621 y FF(=)25 b(4)p FD(\031)95 b FF(and)162 b(lim)1900 2677 y FA(n)p Fy(!)p FC(+)p Fy(1)2139 2621 y FF(\()p FD(\013)2232 2635 y FA(n)2300 2621 y FF(+)20 b(1\))15 b FD(\024)2538 2635 y FA(")2571 2643 y Fw(n)2643 2621 y FF(=)25 b FD(\031)k(:)386 2864 y FF(If)h FD(v)e Fv(2)d 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FF(1)i(+)f FD(")2089 3333 y FA(n)2151 3319 y FD(v)s FF(\()p FD(r)f FF(cos)d FD(\022)s(;)f(r)i FF(sin)e FD(\022)s FF(\))2782 3245 y FB(\001)2823 3268 y FC(2)p FA(=")2926 3276 y Fw(n)p 1849 3365 1125 4 v 2046 3413 a FB(\000)2087 3486 y FF(1)21 b(+)f FD(r)2288 3460 y FC(2\()p FA(\013)2395 3468 y Fw(n)2438 3460 y FC(+1\))2560 3413 y FB(\001)2671 3408 y Fz(2)p 2611 3420 151 3 v 2611 3461 a(1)p Fo(\000)p Fw(")2718 3469 y(n)3008 3386 y FD(dr)e(d\022)562 3721 y FF(=)658 3597 y FB(Z)749 3623 y FC(2)p FA(\031)708 3803 y FC(0)846 3597 y FB(Z)937 3623 y FC(+)p Fy(1)897 3803 y FC(0)1225 3659 y FD(t)1269 3586 y Fz(1+)p Fw(")1375 3594 y(n)p 1268 3600 V 1268 3641 a Fz(1)p Fo(\000)p Fw(")1375 3649 y(n)p 1092 3700 474 4 v 1092 3814 a FF(\(1)j(+)f FD(t)1317 3788 y FC(2)1356 3814 y FF(\))1461 3743 y Fz(2)p 1401 3755 151 3 v 1401 3796 a(1)p Fo(\000)p Fw(")1508 3804 y(n)1601 3647 y FB(\000)1643 3721 y FF(1)g(+)g FD(")1841 3735 y FA(n)1904 3721 y FD(v)s FF(\()15 b FD(t)2109 3649 y Fz(1)p 2044 3661 160 3 v 2044 3703 a(1+)p Fw(\013)2161 3711 y(n)2233 3721 y FF(cos)h FD(\022)s(;)40 b(t)2588 3649 y Fz(1)p 2524 3661 V 2524 3703 a(1+)p Fw(\013)2641 3711 y(n)2712 3721 y FF(sin)15 b FD(\022)s FF(\))2920 3647 y FB(\001)2961 3670 y FC(2)p FA(=")3064 3678 y Fw(n)3137 3721 y FD(dt)g(d\022)i(:)386 3982 y FF(W)-8 b(e)31 b(pass)f(to)i(the)e (limit)h(as)g FD(n)25 b Fv(!)g FF(+)p Fv(1)30 b FF(and)g(obtain:)449 4221 y(lim)392 4276 y FA(n)p Fy(!)p FC(+)p Fy(1)699 4160 y FF(1)p 656 4200 132 4 v 656 4283 a FD(\024)708 4297 y FA(")741 4305 y Fw(n)813 4097 y FB(Z)863 4303 y Ft(R)911 4285 y Fz(2)950 4160 y Fv(j)p FD(u)1027 4174 y FA(")1060 4182 y Fw(n)1107 4160 y FF(\(1)21 b(+)f FD(")1341 4174 y FA(n)1403 4160 y FD(v)s FF(\))p Fv(j)1510 4127 y FA(p)1546 4135 y Fw(n)p 950 4200 644 4 v 1143 4283 a Fv(j)p FD(x)p Fv(j)1245 4257 y FA(b)1275 4265 y Fw(n)1318 4257 y FA(p)1354 4265 y Fw(n)1629 4221 y FD(dx)50 b FF(=)1913 4160 y(1)p 1908 4200 56 4 v 1908 4283 a FD(\031)1988 4097 y FB(Z)2079 4124 y FC(2)p FA(\031)2039 4303 y FC(0)2152 4221 y FD(e)2194 4183 y FC(2)12 b FA(v)r FC(\(cos)i FA(\022)r(;)19 b FC(sin)11 b FA(\022)r FC(\))2666 4221 y FD(d\022)2799 4097 y FB(Z)2890 4124 y FC(+)p Fy(1)2849 4303 y FC(0)3120 4160 y FD(t)25 b(dt)p 3019 4200 339 4 v 3019 4283 a FF(\(1)c(+)f FD(t)3244 4257 y FC(2)3284 4283 y FF(\))3319 4257 y FC(2)1778 4482 y FF(=)1936 4420 y(1)p 1908 4461 101 4 v 1908 4544 a(2)p FD(\031)2034 4358 y FB(Z)2125 4384 y FC(2)p FA(\031)2084 4564 y FC(0)2222 4482 y FD(e)2264 4444 y FC(2)13 b FA(v)r FC(\(cos)g FA(\022)r(;)19 b FC(sin)12 b FA(\022)r FC(\))2736 4482 y FD(d\022)28 b(:)386 4709 y FF(Analogously)-8 b(,)709 4967 y(\()p FD(\013)802 4981 y FA(n)870 4967 y FF(+)20 b(1\))1056 4844 y FB(Z)1107 5050 y Ft(R)1155 5031 y Fz(2)1328 4906 y FD(u)1380 4858 y FC(2)p FA(=")1483 4866 y Fw(n)1380 4918 y FA(")1413 4926 y Fw(n)p 1219 4946 420 4 v 1219 5034 a Fv(j)p FD(x)p Fv(j)1321 5007 y FC(2\()p FA(a)1420 5015 y Fw(n)1464 5007 y Fy(\000)p FA(\013)1564 5015 y Fw(n)1607 5007 y FC(\))1664 4967 y 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Fo(\000)p Fw(")1756 5623 y(n)1848 5540 y FD(v)s FF(\()15 b FD(t)2053 5468 y Fz(1)p 1989 5480 160 3 v 1989 5522 a Fw(\013)2029 5530 y(n)2071 5522 y Fz(+1)2177 5540 y FF(cos)h FD(\022)s(;)40 b(t)2533 5468 y Fz(1)p 2468 5480 V 2468 5522 a Fw(\013)2508 5530 y(n)2551 5522 y Fz(+1)2657 5540 y FF(sin)15 b FD(\022)s FF(\))24 b FD(dt)15 b(d\022)j(:)p eop end %%Page: 11 11 TeXDict begin 11 10 bop 599 259 a FC(WEIGHTED)32 b(MOSER-TR)n(UDINGER)e (AND)g(HARD)n(Y-SOBOLEV)f(INEQUALITIES)144 b(11)386 459 y FF(By)31 b(Lemma)f(6,)h(w)m(e)g(see)g(that)448 636 y(1)p 404 676 133 4 v 404 760 a FD(\025)457 774 y FA(")490 782 y Fw(n)562 574 y FB(Z)612 780 y Ft(R)660 761 y Fz(2)724 636 y Fv(j)15 b(r)p FF([)p FD(u)917 650 y FA(")950 658 y Fw(n)997 636 y FF(\(1)21 b(+)f FD(")1231 650 y FA(n)1293 636 y FD(v)s FF(\)])15 b Fv(j)1440 603 y FC(2)p 724 676 757 4 v 992 760 a Fv(j)p FD(x)p Fv(j)1094 733 y FC(2)p FA(a)1166 741 y Fw(n)1516 697 y FD(dx)50 b FF(=)g(1)21 b(+)1974 636 y FD(")2016 603 y FC(2)2016 658 y FA(n)p 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2272 1564 38 3 v 2272 1605 a Fw(\031)2352 1526 y Fx(R)2399 1546 y Fz(2)p Fw(\031)2385 1604 y Fz(0)2483 1579 y FA(v)r FC(\(cos)14 b FA(\022)r(;)19 b FC(sin)11 b FA(\022)r FC(\))h FA(d\022)2991 1617 y FD(:)386 1778 y FF(Hence)31 b(the)f(v)-5 b(alidit)m(y)31 b(of)37 b(\(8\))31 b(w)m(ould)f(imply)g(that)g(for)g(all)h FD(v)e Fv(2)24 b FD(C)2604 1745 y Fy(1)2597 1800 y FA(c)2679 1778 y FF(\()p Fu(R)2780 1745 y FC(2)2819 1778 y FF(\),)31 b(there)f(holds:)993 1941 y(1)p 965 1982 101 4 v 965 2065 a(2)p FD(\031)1091 1879 y FB(Z)1182 1905 y FC(2)p FA(\031)1142 2085 y FC(0)1279 2002 y FD(e)1321 1965 y FC(2)13 b FA(v)r FC(\(cos)g FA(\022)r(;)19 b FC(sin)12 b FA(\022)r FC(\))1793 2002 y FD(d\022)28 b Fv(\024)d FD(e)2063 1938 y Fz(1)p 2059 1950 38 3 v 2059 1991 a Fw(\031)2131 1911 y Fx(R)2178 1932 y Fz(2)p Fw(\031)2164 1989 y Fz(0)2262 1965 y FA(v)r FC(\(cos)14 b FA(\022)r(;)19 b FC(sin)11 b FA(\022)r FC(\))h FA(d\022)2780 2002 y FD(:)386 2210 y FF(But)40 b(this)h(is)f(clearly)i(imp)s(ossible,)g 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(section)g(2.)386 3224 y(3.1.)47 b FK(Pro)s(of)32 b(of)g(Prop)s(ert)m (y)h(\(i'\).)45 b FF(By)28 b(Lemma)g(5)g(and)f(Kelvin)g (transformation,)i(w)m(e)386 3332 y(can)k(reduce)g(the)g(pro)s(of)f(to) i(the)f(case)h FD(a)29 b(<)g FF(0.)49 b(Let)33 b(us)f(argue)i(b)m(y)e (con)m(tradiction)j(and)386 3441 y(assume)30 b(that)i(there)f(exists)g FD(")1424 3455 y FC(0)1490 3441 y Fv(2)25 b FF(\(0)p FD(;)15 b FF(1\),)33 b FD(a)1882 3455 y FA(n)1955 3441 y Fv(!)25 b FF(0)2116 3455 y Fy(\000)2207 3441 y FF(and)30 b FD(b)2423 3455 y FA(n)2500 3441 y FF(suc)m(h)h(that)g FD(")2945 3455 y FC(0)3011 3441 y FD(<)3121 3404 y FA(b)3151 3412 y Fw(n)p 3117 3420 80 4 v 3117 3472 a FA(a)3154 3480 y Fw(n)3233 3441 y FD(<)25 b FF(1)386 3552 y(and)43 b FD(u)628 3567 y FA(a)665 3575 y Fw(n)708 3567 y FA(;b)758 3575 y Fw(n)848 3552 y FF(is)h(radially)g(symmetric.)81 b(Set)44 b FD(")2027 3566 y FA(n)2121 3552 y FF(=)j FD(b)2278 3566 y FA(n)2354 3552 y Fv(\000)29 b FD(a)2502 3566 y FA(n)2597 3552 y FD(>)47 b FF(0)d(and)f(de\014ne)g FD(\013)3328 3566 y FA(n)386 3660 y FF(suc)m(h)f(that)h FD(\013)870 3674 y FA(n)945 3660 y FF(+)28 b(1)45 b(=)g Fv(\000)p FD(a)1369 3674 y FA(n)1431 3660 y FF(\(1)28 b Fv(\000)g FD(")1680 3674 y FA(n)1728 3660 y FF(\))p FD(=")1850 3674 y FA(n)1898 3660 y FF(.)76 b(Notice)44 b(that)f FD(")2547 3674 y FA(n)2639 3660 y Fv(!)i FF(0)2820 3674 y FC(+)2922 3660 y FF(while)d FD(\013)3229 3674 y FA(n)3304 3660 y FF(+)386 3768 y(1)e(=)e FD(a)628 3782 y FA(n)701 3768 y Fv(\000)26 b FD(a)846 3782 y FA(n)893 3768 y FD(=)p FF(\()p FD(b)1012 3782 y FA(n)1085 3768 y Fv(\000)g FD(a)1230 3782 y FA(n)1277 3768 y FF(\))39 b(=)g FD(a)1509 3782 y FA(n)1582 3768 y Fv(\000)26 b FF(\()p FD(b)1753 3782 y FA(n)1800 3768 y FD(=a)1893 3782 y FA(n)1966 3768 y Fv(\000)g FF(1\))2143 3735 y Fy(\000)p FC(1)2277 3768 y FD(>)39 b(a)2435 3782 y FA(n)2508 3768 y FF(+)25 b(\(1)i Fv(\000)e FD(")2849 3782 y FC(0)2889 3768 y FF(\))2924 3735 y Fy(\000)p FC(1)3019 3768 y FF(.)66 b(Hence,)386 3876 y(lim)15 b(inf)638 3890 y FA(n)p Fy(!)p FC(+)p Fy(1)896 3876 y FD(\013)954 3890 y FA(n)1043 3876 y Fv(\025)41 b FD(\013)1213 3890 y FC(0)1294 3876 y FF(=)g FD(")1448 3890 y FC(0)1488 3876 y FD(=)p FF(\(1)28 b Fv(\000)f FD(")1781 3890 y FC(0)1821 3876 y FF(\))41 b FD(>)h FF(0.)70 b(But)41 b(this)f(is)g(imp)s(ossible)g(since)g(it)386 3984 y(con)m(tradicts)34 b(Prop)s(osition)e(9)h(in)e(case)j(lim)15 b(inf)1979 3998 y FA(n)p Fy(!)p FC(+)p Fy(1)2237 3984 y FD(\013)2295 3998 y FA(n)2370 3984 y FF(=)28 b(+)p Fv(1)p FF(,)33 b(or)f(Prop)s(ositions)g(4)386 4091 y(and)e(7)g(if)h (lim)15 b(sup)1000 4113 y FA(n)p Fy(!)p FC(+)p Fy(1)1258 4091 y FD(\013)1316 4105 y FA(n)1389 4091 y FD(<)25 b FF(+)p Fv(1)p FF(;)30 b(and)f(w)m(e)i(conclude)g(the)g(pro)s(of)e(of)i (\(i'\).)386 4284 y(3.2.)47 b FK(Pro)s(of)34 b(of)g(\(i\))e(of)i (Theorem)f(1.)46 b FF(It)29 b(is)g(w)m(ell)h(kno)m(wn)f(\(see)h([4)q (]\))f(that)h(b)m(y)f(means)386 4392 y(of)h(the)h(follo)m(wing)h (Emden-F)-8 b(o)m(wler)31 b(transformations:)386 4572 y(\(9\))232 b FD(t)25 b FF(=)g(log)18 b Fv(j)p FD(x)p Fv(j)25 b FD(;)107 b(\022)27 b FF(=)1480 4511 y FD(x)p 1455 4551 103 4 v 1455 4635 a Fv(j)p FD(x)p Fv(j)1593 4572 y(2)e FD(S)1740 4535 y FA(N)7 b Fy(\000)p FC(1)1912 4572 y FD(;)106 b(w)r FF(\()p FD(t;)15 b(\022)s FF(\))26 b(=)f Fv(j)p FD(x)p Fv(j)2533 4507 y Fw(N)5 b Fo(\000)p Fz(2)p Fo(\000)p Fz(2)p Fw(a)p 2534 4520 244 3 v 2641 4561 a Fz(2)2807 4572 y FD(v)s FF(\()p FD(x)p FF(\))26 b FD(;)386 4797 y FF(inequalit)m(y)f(\(5\))e(for)f FD(u)h FF(is)f(equiv)-5 b(alen)m(t)24 b(to)f(the)f(Sob)s(olev)h(inequalit)m(y) g(for)f FD(w)j FF(on)d Fu(R)t Fv(\002)t FD(S)3192 4764 y FA(N)7 b Fy(\000)p FC(1)3349 4797 y FF(.)386 4905 y(Namely)-8 b(,)386 5089 y Fv(k)p FD(w)r Fv(k)543 5052 y FC(2)543 5119 y FA(L)591 5100 y Fw(p)629 5119 y FC(\()p Ft(R)p Fy(\002)p FA(S)806 5100 y Fw(N)5 b Fo(\000)p Fz(1)942 5119 y FC(\))998 5089 y Fv(\024)41 b FD(C)1182 5052 y FA(N)1175 5112 y(a;b)1291 4988 y FB(h)1334 5089 y Fv(kr)p FD(w)r Fv(k)1567 5052 y 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Fv(j)p FD(w)2559 5247 y Fy(\003)2557 5307 y FA(a;p)2654 5285 y Fv(j)2679 5247 y FA(p)p Fy(\000)p FC(2)2824 5285 y Fv(j)p FD( )s Fv(j)2936 5247 y FC(2)2992 5285 y FD(dx)386 5515 y FF(on)42 b FD(H)607 5482 y FC(1)646 5515 y FF(\()p Fv(C)5 b FF(\).)76 b(In)41 b(fact,)k(prop)s(ert)m(y)c (\(i\))i(is)f(a)g(consequence)g(of)g(the)g(follo)m(wing)h(result,)386 5623 y(inspired)29 b(b)m(y)h([4)q(,)h(9])g(\(at)g(least)h(for)e(the)g (case)i FD(a)25 b(<)g FF(0\):)p eop end %%Page: 14 14 TeXDict begin 14 13 bop 386 259 a FC(14)152 b(JEAN)23 b(DOLBEA)n(UL)-6 b(T,)23 b(MARIA)g(J.)h(ESTEBAN)f(AND)g(GABRIELLA)h(T) -6 b(ARANTELLO)386 459 y FK(Prop)s(osition)36 b(12.)42 b Fn(L)-5 b(et)33 b FD(a)25 b Fv(6)p FF(=)g(0)33 b Fn(and)h FD(p)25 b(>)g FF(2)p Fn(.)42 b(Then)1337 663 y FF(inf)1183 754 y FD( )28 b Fv(2)d FD(H)1439 721 y FC(1)1479 754 y FF(\()p Fv(C)5 b FF(\))827 788 y FB(R)888 815 y FA(\031)870 893 y Fy(\000)p FA(\031)987 862 y FD( )s FF(\()p FD(t;)15 b(\022)s FF(\))g FD(d\022)29 b FF(=)c(0)p FD(;)41 b(t)25 b Fv(2)g Fu(R)g Fn(a.e.)1891 601 y FD(Q)p FF(\()p FD( )s FF(\))p 1825 642 336 4 v 1825 727 a Fv(k)p FD( )s Fv(k)1977 695 y FC(2)1977 761 y FA(L)2025 742 y Fz(2)2061 761 y FC(\()p Fy(C)t FC(\))2222 663 y FF(=)50 b FD(a)2391 625 y FC(2)2450 663 y FF(+)20 b(1)h Fv(\000)2698 562 y FB(\020)2762 601 y FD(a)15 b(p)p 2762 642 109 4 v 2794 725 a FF(2)2881 562 y FB(\021)2935 584 y FC(2)386 1029 y Fn(is)32 b(achieve)-5 b(d)34 b(by)591 1204 y FD( )s FF(\()p FD(t;)15 b(\022)s FF(\))26 b(=)964 1131 y FB(\000)1021 1204 y FF(cosh\(\()p FD(\013)21 b FF(+)f(1\))15 b FD(t)p FF(\))1596 1131 y FB(\001)1639 1153 y Fy(\000)p FA(p=)p FC(\()p FA(p)p Fy(\000)p FC(2\))1965 1204 y FD(;)108 b Fn(with)94 b FD(\013)25 b FF(=)g(\()p FD(p)c Fv(\000)f FF(2\))15 b FD(a=)p FF(2)22 b Fv(\000)e FF(1)25 b FD(:)386 1377 y Fn(In)44 b(p)-5 b(articular,)49 b(if)43 b Fv(j)p FD(a)p Fv(j)15 b FD(p)46 b(>)g FF(2)1440 1300 y Fv(p)p 1516 1300 245 4 v 77 x FF(1)20 b(+)g FD(a)1720 1350 y FC(2)1775 1377 y Fn(,)47 b(then)d FD(w)2130 1344 y Fy(\003)2128 1399 y FA(a;p)2269 1377 y Fn(is)g(a)g(critic)-5 b(al)45 b(p)-5 b(oint)45 b(for)f Fv(F)53 b Fn(of)386 1485 y(sadd)5 b(le-typ)-5 b(e.)386 1652 y(Pr)g(o)g(of.)43 b FF(Since)c FD(w)980 1619 y Fy(\003)978 1675 y FA(a;p)1115 1652 y FF(is)h(a)g(lo)s(cal)h(minim)m(um)e(for)g Fv(F)49 b FF(when)39 b(restricted)h(to)g(the)g(set)g(of)386 1760 y(functions)31 b(indep)s(enden)m(t)g(of)h FD(\022)s FF(,)f(to)i(searc)m(h)f(for)g (negativ)m(e)i(directions)e(of)g(the)g(Hessian)386 1868 y(of)c Fv(F)37 b FF(around)27 b FD(w)962 1835 y Fy(\003)960 1891 y FA(a;p)1057 1868 y FF(,)h(w)m(e)h(ha)m(v)m(e)g(to)f(analyze)i (the)e(quadratic)g(form)f FD(Q)p FF(\()p FD( )s FF(\))i(on)f(the)g (space)386 1988 y(of)33 b(functions)f FD( )g Fv(2)d FD(H)1150 1955 y FC(1)1189 1988 y FF(\()p Fv(C)5 b FF(\))33 b(suc)m(h)g(that)1752 1915 y FB(R)1813 1941 y FA(\031)1795 2020 y Fy(\000)p FA(\031)1912 1988 y FD( )s FF(\()p FD(t;)15 b(\022)s FF(\))g FD(d\022)32 b FF(=)d(0)k(for)f(a.e.)48 b FD(t)29 b Fv(2)g Fu(R)p FF(.)47 b(T)-8 b(o)33 b(this)386 2098 y(purp)s(ose,)c(w)m(e)i(use)f(the)g(F)-8 b(ourier)31 b(expansion)f(of)h FD( )s FF(,)416 2313 y FD( )s FF(\()p FD(t;)15 b(\022)s FF(\))26 b(=)789 2227 y FB(X)790 2424 y FA(k)r Fy(6)p FC(=0)935 2313 y FD(f)980 2328 y FA(k)1023 2313 y FF(\()p FD(t)p FF(\))1178 2251 y FD(e)1220 2218 y FA(ik)r(\022)p 1161 2292 177 4 v 1161 2310 a Fv(p)p 1237 2310 101 4 v 75 x FF(2)p FD(\031)1373 2313 y(;)106 b(f)1549 2328 y Fy(\000)p FA(k)1646 2313 y FF(\()p FD(t)p FF(\))26 b(=)p 1871 2239 88 4 v 25 w FD(f)1916 2328 y FA(k)1958 2313 y FF(\()p FD(t)p FF(\))g FD(;)416 2644 y(Q)p FF(\()p FD( )s FF(\))g(=)f(2)806 2531 y FC(+)p Fy(1)803 2558 y FB(X)804 2756 y FA(k)r FC(=1)949 2543 y FB(\020)1004 2644 y Fv(k)p FD(f)1104 2607 y Fy(0)1094 2667 y FA(k)1136 2644 y Fv(k)1181 2607 y FC(2)1181 2672 y FA(L)1229 2653 y Fz(2)1264 2672 y FC(\()p Ft(R)p FC(\))1376 2644 y FF(+)5 b(\()p FD(a)1535 2607 y FC(2)1580 2644 y FF(+)g FD(k)1706 2607 y FC(2)1745 2644 y FF(\))15 b 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b(;)386 1054 y FF(that)j(is)408 1159 y FB(Z)499 1186 y FA(\031)458 1366 y Fy(\000)p FA(\031)575 1182 y FB(n)636 1283 y Fv(\000)734 1247 y FA(@)p 717 1262 76 4 v 717 1314 a(@)t(\022)818 1210 y FB(\000)869 1247 y FA(@)t(w)p 869 1262 94 4 v 878 1314 a(@)t(\022)983 1247 y(@)t(w)p 983 1262 V 996 1314 a(@)t(t)1086 1210 y FB(\001)1148 1283 y FF(+)1249 1247 y FC(1)p 1249 1262 36 4 v 1249 1314 a(2)1332 1247 y FA(d)p 1319 1262 62 4 v 1319 1314 a(dt)1406 1182 y FB(h)1449 1210 y(\000)1501 1247 y FA(@)t(w)p 1501 1262 94 4 v 1510 1314 a(@)t(\022)1604 1210 y FB(\001)1646 1228 y FC(2)1706 1283 y Fv(\000)1797 1210 y FB(\000)1848 1247 y FA(@)t(w)p 1848 1262 V 1862 1314 a(@)t(t)1952 1210 y FB(\001)1993 1228 y FC(2)2053 1283 y FF(+)20 b FD(a)2192 1250 y FC(2)2247 1283 y FD(w)2314 1250 y FC(2)2354 1182 y FB(i)o(o)2472 1283 y FD(d\022)28 b FF(=)2696 1222 y(1)p 2696 1262 46 4 v 2696 1345 a FD(p)2767 1159 y FB(Z)2858 1186 y FA(\031)2817 1366 y Fy(\000)p FA(\031)2944 1222 y FD(d)15 b FF(\()p FD(w)3108 1189 y 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1850 y FD(d\022)28 b FF(=)d(0)386 2126 y(for)f(all)h FD(t)g Fv(2)g Fu(R)p FF(.)38 b(Hence)25 b(as)f(a)h(function)e(of)i FD(t)p FF(,)g(the)f(ab)s(o)m(v)m(e)h(in)m(tegral)h(m)m(ust)e(b)s(e)g(a)g (constan)m(t.)386 2234 y(Since)30 b(it)h(is)g(also)g(in)m(tegrable)h(o) m(v)m(er)g Fu(R)p FF(,)e(then)g(it)h(m)m(ust)f(v)-5 b(anish)30 b(iden)m(tically)-8 b(.)350 b Ff(\003)386 2502 y FF(4.2.)47 b FK(Pro)s(of)35 b(of)g(Theorem)f(11,)h(\(ii\).)45 b FF(W)-8 b(e)31 b(argue)f(b)m(y)g(con)m(tradiction)i(and)d(supp)s(ose) 386 2610 y(that)i(there)f(exists)h FD(")1108 2624 y FC(0)1174 2610 y Fv(2)24 b FF(\(0)p FD(;)15 b FF(1\))33 b(and,)d(for)g(all)h FD(n)25 b Fv(2)g Fu(N)p FF(,)30 b FD(a)2294 2624 y FA(n)2366 2610 y FD(>)25 b FF(0,)31 b FD(p)2609 2624 y FA(n)2681 2610 y FD(>)25 b FF(2,)31 b(suc)m(h)f(that:)386 2808 y(\(15\))200 b(lim)690 2864 y FA(n)p Fy(!)p FC(+)p Fy(1)944 2808 y FD(a)992 2822 y FA(n)1064 2808 y FF(=)25 b(0)h FD(;)106 b(a)1410 2822 y FA(n)1473 2808 y FD(p)1519 2822 y FA(n)1590 2808 y FD(<)25 b FF(2)c Fv(\000)f FD(")1885 2822 y FC(0)2016 2808 y FF(and)90 b Fv(F)9 b FF(\()p FD(w)2427 2822 y FA(a)2464 2830 y Fw(n)2508 2822 y FA(;)i(p)2575 2830 y Fw(n)2621 2808 y FF(\))26 b FD(<)f Fv(F)9 b FF(\()p FD(w)2954 2771 y Fy(\003)2952 2831 y FA(a)2989 2839 y Fw(n)3033 2831 y FA(;)i(p)3100 2839 y Fw(n)3146 2808 y FF(\))26 b FD(:)386 3042 y FF(F)-8 b(or)31 b(simplicit)m(y)-8 b(,)32 b(set)1204 3240 y FD(w)1269 3254 y FA(n)1341 3240 y FF(=)25 b FD(w)1502 3254 y FA(a)1539 3262 y Fw(n)1582 3254 y FA(;)12 b(p)1650 3262 y Fw(n)1787 3240 y FF(and)90 b FD(w)2091 3203 y Fy(\003)2089 3263 y FA(n)2162 3240 y FF(=)25 b FD(w)2325 3203 y Fy(\003)2323 3263 y FA(a)2360 3271 y Fw(n)2403 3263 y FA(;)11 b(p)2470 3271 y Fw(n)2531 3240 y FD(;)386 3439 y FF(and)30 b(recall)h(that)g(w)m(e)g(can)g (assume)388 3663 y FD(w)453 3677 y FA(n)500 3663 y FF(\()p FD(t;)15 b(\022)s FF(\))26 b(=)f FD(w)876 3677 y FA(n)923 3663 y FF(\()p Fv(\000)p FD(t;)15 b(\022)s FF(\))25 b FD(;)1349 3601 y(@)5 b(w)1467 3615 y FA(n)p 1349 3642 166 4 v 1389 3725 a FD(@)g(t)1525 3663 y FF(\()p FD(t;)15 b(\022)s FF(\))25 b FD(<)g FF(0)91 b Fv(8)25 b FD(t)g(>)g FF(0)91 b(and)g FD(w)2640 3677 y FA(n)2687 3663 y FF(\(0)p FD(;)15 b FF(0\))27 b(=)e(max)3074 3723 y Fy(C)3210 3663 y FD(w)3275 3677 y FA(n)3347 3663 y FD(:)386 3914 y FF(Notice)42 b(in)d(particular)i(that)1442 3877 y FA(@)t(w)1534 3885 y Fw(n)p 1442 3893 135 4 v 1476 3945 a FA(@)t(t)1586 3914 y FF(\(0)p FD(;)15 b(\022)s FF(\))42 b(=)f(0)g(for)e(an)m(y)i FD(\022)i Fv(2)e FF([)p Fv(\000)p FD(\031)s(;)15 b(\031)s FF(].)70 b(If)40 b(w)m(e)g(apply)386 4022 y(Lemma)30 b(13)i(to)f FD(w)d FF(=)c FD(w)1196 4036 y FA(n)1274 4022 y FF(and)30 b FD(t)25 b FF(=)g(0,)31 b(w)m(e)f(obtain)414 4214 y FD(p)460 4181 y FC(2)460 4237 y FA(n)522 4214 y FD(a)570 4181 y FC(2)570 4237 y FA(n)p 414 4255 203 4 v 493 4338 a FF(2)642 4152 y FB(Z)733 4178 y FA(\031)693 4358 y Fy(\000)p FA(\031)810 4276 y FD(w)877 4238 y FC(2)875 4298 y FA(n)922 4276 y FF(\(0)p FD(;)15 b(\022)s FF(\))g FD(d\022)28 b Fv(\024)d FD(p)1398 4290 y FA(n)1445 4152 y FB(Z)1536 4178 y FA(\031)1496 4358 y Fy(\000)p FA(\031)1613 4276 y FD(w)1680 4238 y FA(p)1716 4246 y Fw(n)1678 4298 y FA(n)1762 4276 y FF(\(0)p FD(;)15 b(\022)s FF(\))g FD(d\022)29 b Fv(\024)c FD(p)2239 4290 y FA(n)2301 4276 y Fv(k)p FD(w)2411 4290 y FA(n)2458 4276 y Fv(k)2503 4232 y FA(p)2539 4240 y Fw(n)2582 4232 y Fy(\000)p FC(2)2503 4309 y FA(L)2551 4290 y Fo(1)2617 4309 y FC(\()p Fy(C)t FC(\))2717 4152 y FB(Z)2808 4178 y FA(\031)2767 4358 y Fy(\000)p FA(\031)2884 4276 y FD(w)2951 4238 y FC(2)2949 4298 y FA(n)2997 4276 y FF(\(0)p FD(;)15 b(\022)s FF(\))g FD(d\022)28 b(;)386 4527 y FF(and)i(deduce)g(that)1391 4709 y FD(p)1437 4723 y FA(n)1499 4709 y Fv(k)p FD(w)1609 4723 y FA(n)1656 4709 y Fv(k)1701 4664 y FA(p)1737 4672 y Fw(n)1780 4664 y Fy(\000)p FC(2)1701 4742 y FA(L)1749 4723 y Fo(1)1815 4742 y FC(\()p Fy(C)t FC(\))1940 4709 y Fv(\025)2046 4647 y FF(1)p 2046 4688 46 4 v 2046 4771 a(2)2116 4709 y FD(p)2162 4671 y FC(2)2162 4731 y FA(n)2224 4709 y FD(a)2272 4671 y FC(2)2272 4731 y FA(n)2345 4709 y FD(:)386 4926 y FK(Lemma)35 b(14.)1376 5087 y FF(lim)15 b(inf)1383 5142 y FA(n)p Fy(!)p FC(+)p Fy(1)1643 5087 y FD(p)1689 5101 y FA(n)1751 5087 y Fv(k)p FD(w)1861 5101 y FA(n)1909 5087 y Fv(k)1954 5043 y FA(p)1990 5051 y Fw(n)2032 5043 y Fy(\000)p FC(2)1954 5120 y FA(L)2002 5101 y Fo(1)2067 5120 y FC(\()p Fy(C)t FC(\))2192 5087 y Fv(\025)25 b FF(1)h FD(:)386 5319 y Fn(Pr)-5 b(o)g(of.)43 b FF(W)-8 b(e)31 b(can)g(write)g FD(w)1288 5333 y FA(n)1335 5319 y FF(\()p FD(t;)15 b(\022)s FF(\))25 b(=)g FD(')1704 5333 y FA(n)1751 5319 y FF(\()p FD(t)p FF(\))c(+)f FD( )2025 5333 y FA(n)2072 5319 y FF(\()p FD(t;)15 b(\022)s FF(\))31 b(with)405 5567 y FD(')464 5581 y FA(n)511 5567 y FF(\()p FD(t)p FF(\))26 b(=)773 5505 y(1)p 746 5546 101 4 v 746 5629 a(2)p FD(\031)871 5443 y FB(Z)962 5469 y FA(\031)922 5649 y Fy(\000)p FA(\031)1039 5567 y FD(w)1104 5581 y FA(n)1151 5567 y FF(\()p FD(t;)15 b(\022)s FF(\))g FD(d\022)28 b(;)1580 5443 y FB(Z)1671 5469 y FA(\031)1630 5649 y Fy(\000)p FA(\031)1747 5567 y FD( )1806 5581 y FA(n)1853 5567 y FF(\()p FD(t;)15 b(\022)s FF(\))g FD(d\022)28 b FF(=)d(0)67 b(a.e.)27 b FD(t)e Fv(2)f Fu(R)66 b FF(and)g FD( )3092 5581 y FA(n)3164 5567 y Fv(6)p FF(=)25 b(0)h FD(:)p eop end %%Page: 16 16 TeXDict begin 16 15 bop 386 259 a FC(16)152 b(JEAN)23 b(DOLBEA)n(UL)-6 b(T,)23 b(MARIA)g(J.)h(ESTEBAN)f(AND)g(GABRIELLA)h(T) -6 b(ARANTELLO)386 459 y FF(Multiplying)36 b(\(11\))f(b)m(y)f FD( )1270 473 y FA(n)1351 459 y FF(and)f(using)g(the)h(fact)h(that)2316 385 y FB(R)2376 412 y FA(\031)2359 491 y Fy(\000)p FA(\031)2476 459 y FD( )2535 473 y FA(n)2582 459 y FF(\()p FD(t;)15 b(\022)s FF(\))g FD(d\022)34 b FF(=)c(0)35 b(for)e(an)m(y)386 569 y FD(t)25 b Fv(2)g Fu(R)p FF(,)30 b(w)m(e)h(\014nd)827 665 y FB(\015)827 719 y(\015)827 774 y(\015)827 828 y(\015)887 735 y FD(@)5 b( )999 749 y FA(n)p 887 776 160 4 v 924 859 a FD(@)g(t)1056 665 y FB(\015)1056 719 y(\015)1056 774 y(\015)1056 828 y(\015)1107 691 y FC(2)1107 887 y FA(L)1155 868 y Fz(2)1190 887 y FC(\()p Fy(C)t FC(\))1310 796 y FF(+)1426 665 y FB(\015)1426 719 y(\015)1426 774 y(\015)1426 828 y(\015)1486 735 y FD(@)g( )1598 749 y FA(n)p 1486 776 V 1517 859 a FD(@)g(\022)1656 665 y FB(\015)1656 719 y(\015)1656 774 y(\015)1656 828 y(\015)1706 691 y FC(2)1706 887 y FA(L)1754 868 y Fz(2)1789 887 y FC(\()p Fy(C)t FC(\))1909 796 y FF(+)45 b FD(a)2073 759 y FC(2)2073 819 y FA(n)2135 796 y Fv(k)p FD( )2239 810 y FA(n)2287 796 y Fv(k)2332 759 y FC(2)2332 824 y FA(L)2380 806 y Fz(2)827 1063 y FF(=)922 939 y FB(Z)973 1145 y Fy(C)1033 1063 y FD(w)1100 1025 y FA(p)1136 1033 y Fw(n)1179 1025 y Fy(\000)p FC(1)1098 1085 y FA(n)1288 1063 y FD( )1347 1077 y FA(n)1420 1063 y FD(dt)15 b(d\022)827 1304 y FF(=)922 1180 y FB(Z)973 1386 y Fy(C)1033 1304 y FD(w)1100 1266 y FA(p)1136 1274 y Fw(n)1179 1266 y Fy(\000)p FC(1)1098 1326 y FA(n)1288 1304 y FD( )1347 1318 y FA(n)1420 1304 y FD(dt)g(d\022)23 b Fv(\000)1719 1180 y FB(Z)1769 1386 y Fy(C)1829 1304 y FD(')1888 1266 y FA(p)1924 1274 y Fw(n)1967 1266 y Fy(\000)p FC(1)1888 1326 y FA(n)2076 1304 y FD( )2135 1318 y FA(n)2208 1304 y FD(dt)15 b(d\022)827 1562 y FF(=)24 b(\()p FD(p)1003 1576 y FA(n)1071 1562 y Fv(\000)c FF(1\))1257 1438 y FB(Z)1349 1465 y FC(1)1308 1644 y(0)1403 1434 y FB(\032)1471 1438 y(Z)1522 1644 y Fy(C)1582 1485 y FB(\014)1582 1539 y(\014)1612 1562 y FD(s)15 b(')1729 1576 y FA(n)1797 1562 y FF(+)20 b(\(1)h Fv(\000)f FD(s)p FF(\))15 b FD(w)2238 1576 y FA(n)2285 1485 y FB(\014)2285 1539 y(\014)2315 1511 y FA(p)2351 1519 y Fw(n)2393 1511 y Fy(\000)p FC(2)2503 1562 y Fv(j)p FD( )2587 1576 y FA(n)2634 1562 y Fv(j)2659 1524 y FC(2)2724 1562 y FD(dt)g(d\022)2912 1434 y FB(\033)3010 1562 y FD(ds)827 1807 y Fv(\024)24 b FF(\()p FD(p)1003 1821 y FA(n)1071 1807 y Fv(\000)c FF(1\))15 b Fv(k)p FD(w)1367 1821 y FA(n)1415 1807 y Fv(k)1460 1763 y FA(p)1496 1771 y Fw(n)1539 1763 y Fy(\000)p FC(2)1460 1840 y FA(L)1508 1822 y Fo(1)1574 1840 y FC(\()p Fy(C)t FC(\))1689 1684 y FB(Z)1739 1890 y Fy(C)1799 1807 y Fv(j)p FD( )1883 1821 y FA(n)1931 1807 y Fv(j)1956 1770 y FC(2)2021 1807 y FD(dt)g(d\022)28 b(:)386 2045 y FF(By)38 b(P)m(oincar)m(\023)-43 b(e's)41 b(inequalit)m(y)-8 b(,)42 b(w)m(e)c(kno)m(w)h(that)f Fv(k)p FD( )2122 2059 y FA(n)2170 2045 y Fv(k)2215 2012 y FC(2)2215 2078 y FA(L)2263 2059 y Fz(2)2298 2078 y FC(\()p Fy(C)t FC(\))2436 2045 y Fv(\024)2545 1968 y FB(\015)2545 2022 y(\015)2605 2004 y FA(@)t( )2692 2012 y Fw(n)p 2605 2024 130 4 v 2632 2076 a FA(@)t(\022)2745 1968 y FB(\015)2745 2022 y(\015)2796 1994 y FC(2)2796 2081 y FA(L)2844 2062 y Fz(2)2878 2081 y FC(\()p Fy(C)t FC(\))2978 2045 y FF(,)i(and)e(this)386 2169 y(pro)m(v)m(es)31 b(the)g(claim.)2244 b Ff(\003)486 2347 y FF(Next)31 b(w)m(e)g(in)m(tro) s(duce)f(the)g(new)g(parameters:)597 2546 y FD(")639 2560 y FA(n)712 2546 y FF(=)841 2485 y(2)p 818 2525 93 4 v 818 2608 a FD(p)864 2622 y FA(n)1011 2546 y FF(and)91 b FD(\013)1307 2560 y FA(n)1379 2546 y FF(=)25 b Fv(\000)p FF(1)20 b(+)g(\(1)h Fv(\000)f FD(")1936 2560 y FA(n)1984 2546 y FF(\))2044 2485 y FD(a)2092 2499 y FA(n)p 2044 2525 96 4 v 2047 2608 a FD(")2089 2622 y FA(n)2174 2546 y FF(=)25 b Fv(\000)p FF(1)c(+)2508 2485 y(1)p 2508 2525 46 4 v 2508 2608 a(2)2578 2546 y(\(1)g Fv(\000)f FD(")2812 2560 y FA(n)2859 2546 y FF(\))15 b FD(a)2957 2560 y FA(n)3020 2546 y FD(p)3066 2560 y FA(n)3138 2546 y FD(:)386 2760 y FK(Lemma)35 b(15.)42 b Fn(Up)32 b(to)h(a)g(subse)-5 b(quenc)g(e)33 b(we)f(have:)1455 2921 y FF(lim)1399 2977 y FA(n)p Fy(!)p FC(+)p Fy(1)1653 2921 y FD(\013)1711 2935 y FA(n)1783 2921 y FF(=)25 b FD(\013)h Fv(2)f FF([)p Fv(\000)p FF(1)p FD(;)15 b FF(0\))27 b FD(;)386 3117 y Fn(and)33 b FF(lim)689 3131 y FA(n)p Fy(!)p FC(+)p Fy(1)947 3117 y FD(p)993 3131 y FA(n)1065 3117 y FF(=)25 b(+)p Fv(1)p Fn(,)32 b(or)h(e)-5 b(quivalently,)1656 3278 y FF(lim)1600 3333 y FA(n)p Fy(!)p FC(+)p Fy(1)1854 3278 y FD(")1896 3292 y FA(n)1969 3278 y FF(=)25 b(0)g FD(:)386 3489 y Fn(Pr)-5 b(o)g(of.)43 b FF(F)-8 b(rom)35 b(the)f(condition:)49 b FD(a)1560 3503 y FA(n)1622 3489 y FD(p)1668 3503 y FA(n)1747 3489 y FD(<)31 b FF(2)24 b Fv(\000)e FD(")2053 3503 y FC(0)2093 3489 y FF(,)36 b(w)m(e)e(deduce)g(that)h FD(\013)2857 3503 y FA(n)2927 3489 y FF(+)23 b(1)32 b Fv(\024)f FF(\(1)24 b Fv(\000)386 3597 y FD(")428 3611 y FA(n)475 3597 y FF(\))15 b(\(1)d Fv(\000)g FD(")742 3611 y FC(0)783 3597 y FD(=)p FF(2\).)41 b(Th)m(us,)26 b(along)h(a)g(subsequence,)f(w)m(e)h(can)g(assume)f(that) g FD(\013)2924 3611 y FA(n)2998 3597 y FF(con)m(v)m(erges)386 3704 y(to)31 b(some)g FD(\013)26 b Fv(2)e FF([)p Fv(\000)p FF(1)p FD(;)15 b FF(0\))32 b(and)e(lim)1490 3718 y FA(n)p Fy(!)p FC(+)p Fy(1)1749 3704 y FD(p)1795 3718 y FA(n)1866 3704 y Fv(2)25 b FF([2)p FD(;)15 b Fv(1)p FF(].)486 3812 y(T)-8 b(o)34 b(rule)g(out)g(the)h(p)s(ossibilit)m(y)f(that)h(lim)1898 3826 y FA(n)p Fy(!)p FC(+)p Fy(1)2156 3812 y FD(p)2202 3826 y FA(n)2280 3812 y FF(=)k(\026)-52 b FD(p)31 b Fv(2)g FF([2)p FD(;)15 b Fv(1)p FF(\),)37 b(notice)e(that)g(if)386 3920 y(this)30 b(w)m(ould)g(b)s(e)g(the)h(case,)g(then)f(b)m(y)h(Lemma) f(10,)1486 4081 y(lim)1430 4137 y FA(n)p Fy(!)p FC(+)p Fy(1)1684 4081 y Fv(k)p FD(w)1794 4095 y FA(n)1841 4081 y Fv(k)1886 4100 y FA(L)1934 4081 y Fw(p)1966 4089 y(n)2014 4100 y FC(\()p Fy(C)t FC(\))2139 4081 y FF(=)25 b(0)g FD(:)386 4282 y FF(By)39 b(applying)f(lo)s(cal)i(elliptic)g(estimates)g (in)e(a)h(neigh)m(b)s(orho)s(o)s(d)e(of)i(the)g(origin)g(\(0)p FD(;)15 b FF(0\))386 4390 y(then)36 b(w)m(e)h(w)m(ould)f(deduce)g(that) h(lim)1649 4404 y FA(n)p Fy(!)p FC(+)p Fy(1)1907 4390 y Fv(k)p FD(w)2017 4404 y FA(n)2064 4390 y Fv(k)2109 4409 y FA(L)2157 4390 y Fo(1)2223 4409 y FC(\()p Fy(C)t FC(\))2358 4390 y FF(=)e(lim)2590 4404 y FA(n)p Fy(!)p FC(+)p Fy(1)2849 4390 y FD(w)2914 4404 y FA(n)2961 4390 y FF(\(0)p FD(;)15 b FF(0\))37 b(=)e(0,)386 4498 y(in)30 b(con)m(tradiction)i(with)e(Lemma)h(14.)1612 b Ff(\003)386 4669 y FK(Corollary)36 b(16.)1481 4792 y FF(lim)15 b(inf)1488 4847 y FA(n)p Fy(!)p FC(+)p Fy(1)1748 4792 y FD(w)1813 4806 y FA(n)1860 4792 y FF(\(0)p FD(;)g FF(0\))28 b Fv(\025)d FF(1)g FD(:)386 5002 y Fn(Pr)-5 b(o)g(of.)43 b FF(If)36 b(b)m(y)h(con)m(tradiction)i(w)m(e)e(assume)g(that)g(lim)15 b(inf)2374 5016 y FA(n)p Fy(!)p FC(+)p Fy(1)2632 5002 y FD(w)2697 5016 y FA(n)2744 5002 y FF(\(0)p FD(;)g FF(0\))38 b FD(<)e FF(1,)j(then)386 5121 y(lim)15 b(inf)638 5135 y FA(n)p Fy(!)p FC(+)p Fy(1)896 5121 y FD(p)942 5135 y FA(n)1004 5121 y Fv(k)p FD(w)1114 5135 y FA(n)1161 5121 y Fv(k)1206 5076 y FA(p)1242 5084 y Fw(n)1285 5076 y Fy(\000)p FC(2)1206 5154 y FA(L)1254 5135 y Fo(1)1320 5154 y FC(\()p Fy(C)t FC(\))1450 5121 y FF(=)30 b(0,)35 b(and)e(again)h(this)f(is)h(imp)s(ossible)f(b)m(y)g(Lemma)h(14.)3304 5240 y Ff(\003)386 5410 y FK(Lemma)h(17.)1297 5534 y FF(lim)15 b(sup)1317 5607 y FA(n)p Fy(!)p FC(+)p Fy(1)1606 5534 y FD(p)1652 5548 y FA(n)1714 5534 y Fv(k)p FD(w)1824 5548 y FA(n)1871 5534 y Fv(k)1916 5490 y FA(p)1952 5498 y Fw(n)1995 5490 y Fy(\000)p FC(2)1916 5567 y FA(L)1964 5548 y Fo(1)2030 5567 y FC(\()p Fy(C)t FC(\))2155 5534 y FD(<)25 b FF(+)p Fv(1)g FD(:)p eop end %%Page: 17 17 TeXDict begin 17 16 bop 599 259 a FC(WEIGHTED)32 b(MOSER-TR)n(UDINGER)e (AND)g(HARD)n(Y-SOBOLEV)f(INEQUALITIES)144 b(17)386 459 y Fn(Pr)-5 b(o)g(of.)43 b FF(Argue)28 b(b)m(y)g(con)m(tradiction,)i (and)d(assume)h(that,)h(along)g(a)f(subsequence,)g FD(\016)3231 473 y FA(n)3304 459 y FF(=)386 512 y FB(\000)428 585 y FD(p)474 599 y FA(n)535 585 y Fv(k)p FD(w)645 599 y FA(n)693 585 y Fv(k)738 541 y FA(p)774 549 y Fw(n)816 541 y Fy(\000)p FC(2)738 619 y FA(L)786 600 y Fo(1)851 619 y FC(\()p Fy(C)t FC(\))951 512 y FB(\001)993 535 y Fy(\000)p FC(1)p FA(=)p FC(2)1188 585 y FF(con)m(v)m(erges)33 b(to)e(0)f(as)h FD(n)25 b Fv(!)g FF(+)p Fv(1)p FF(.)40 b(W)-8 b(e)32 b(consider)e(the)h(function)1181 833 y FD(W)1267 847 y FA(n)1314 833 y FF(\()p FD(t;)15 b(\022)s FF(\))26 b(=)f FD(p)1671 847 y FA(n)1748 705 y FB(\022)1824 772 y FD(w)1889 786 y FA(n)1936 772 y FF(\()p FD(\016)2011 786 y FA(n)2074 772 y FD(t;)31 b(\016)2203 786 y FA(n)2265 772 y FD(\022)s FF(\))p 1824 812 522 4 v 1928 896 a FD(w)1993 910 y FA(n)2040 896 y FF(\(0)p FD(;)15 b FF(0\))2376 833 y Fv(\000)20 b FF(1)2512 705 y FB(\023)386 1054 y FF(de\014ned)29 b(in)h Fv(C)853 1068 y FA(n)925 1054 y FF(=)25 b Fu(R)20 b Fv(\002)g FF([)p Fv(\000)p FD(\031)s(=\016)1434 1068 y FA(n)1482 1054 y FD(;)30 b(\031)s(=\016)1677 1068 y FA(n)1725 1054 y FF(],)h(whic)m(h)f(satis\014es)386 1360 y(\(16\))787 1146 y FB(8)787 1228 y(>)787 1255 y(<)787 1419 y(>)787 1446 y(:)909 1264 y Fv(\000)p FF(\001)p FD(W)1142 1278 y FA(n)1214 1264 y FF(=)1310 1164 y FB(\020)1364 1264 y FF(1)21 b(+)1530 1228 y FA(W)1597 1236 y Fw(n)p 1530 1244 110 4 v 1546 1296 a FA(p)1582 1304 y Fw(n)1650 1164 y FB(\021)1704 1186 y FA(p)1740 1194 y Fw(n)1782 1186 y Fy(\000)p FC(1)1830 1264 y Fv(\000)35 b FD(a)1984 1231 y FC(2)1984 1287 y FA(n)2046 1264 y FD(p)2092 1278 y FA(n)2154 1264 y FD(\016)2197 1231 y FC(2)2194 1287 y FA(n)2272 1164 y FB(\020)2326 1264 y FF(1)21 b(+)2493 1228 y FA(W)2560 1236 y Fw(n)p 2493 1244 V 2508 1296 a FA(p)2544 1304 y Fw(n)2612 1164 y FB(\021)2772 1264 y FF(in)91 b Fv(C)2987 1278 y FA(n)3059 1264 y FD(;)909 1499 y(W)995 1513 y FA(n)1067 1499 y Fv(\024)25 b FF(0)h(=)f FD(W)1416 1513 y FA(n)1463 1499 y FF(\(0)p FD(;)15 b FF(0\))27 b FD(:)386 1661 y FF(F)-8 b(urthermore,)30 b(b)m(y)h(Lemma)f(10,)i(w)m(e)f(\014nd)454 1755 y FB(Z)505 1961 y Fy(C)542 1969 y Fw(n)604 1751 y FB(\022)671 1879 y FF(1)20 b(+)837 1817 y FD(W)923 1831 y FA(n)p 837 1858 133 4 v 857 1941 a FD(p)903 1955 y FA(n)980 1751 y FB(\023)1047 1773 y FA(p)1083 1781 y Fw(n)1159 1879 y FD(dx)26 b FF(=)1520 1817 y FD(p)1566 1831 y FA(n)p 1390 1858 354 4 v 1390 1941 a FD(w)1455 1955 y FA(n)1502 1941 y FF(\(0)p FD(;)15 b FF(0\))1702 1915 y FC(2)1784 1755 y FB(Z)1834 1961 y Fy(C)1894 1879 y FD(w)1961 1841 y FA(p)1997 1849 y Fw(n)1959 1901 y FA(n)2059 1879 y FD(dx)26 b Fv(\024)2444 1817 y FF(1)p 2290 1858 V 2290 1941 a FD(w)2355 1955 y FA(n)2402 1941 y FF(\(0)p FD(;)15 b FF(0\))2602 1915 y FC(2)2678 1879 y FD(p)2724 1893 y FA(n)2786 1755 y FB(Z)2837 1961 y Fy(C)2897 1879 y Fv(j)p FD(w)2989 1841 y Fy(\003)2987 1901 y FA(n)3034 1879 y Fv(j)3059 1841 y FA(p)3095 1849 y Fw(n)3157 1879 y FD(dx)25 b(:)386 2104 y FF(Recalling)44 b(that)f(lim)15 b(inf)1254 2118 y FA(n)p Fy(!)p FC(+)p Fy(1)1512 2104 y FD(w)1577 2118 y FA(n)1624 2104 y FF(\(0)p FD(;)g FF(0\))48 b Fv(\025)c FF(1)f(and)f(lim)2390 2118 y FA(n)p Fy(!)p FC(+)p Fy(1)2648 2104 y FD(a)2696 2118 y FA(n)2759 2104 y FD(p)2805 2118 y FA(n)2896 2104 y FF(=)j(2)15 b(\(1)30 b(+)e FD(\013)p FF(\))386 2212 y(b)m(y)g(\(14\))q(,)g(w)m(e)e(can)h(pass)f(to)h(the)g (limit)g(ab)s(o)m(v)m(e)h(and)e(b)m(y)g(virtue)g(of)34 b(\(13\))r(-\(14\))r(,)27 b(conclude:)1131 2378 y(lim)1075 2433 y FA(n)p Fy(!)p FC(+)p Fy(1)1329 2378 y Fv(k)p FF(1)21 b(+)f FD(W)1617 2392 y FA(n)1664 2378 y FD(=p)1755 2392 y FA(n)1802 2378 y Fv(k)1847 2334 y FA(p)1883 2342 y Fw(n)1847 2411 y FA(L)1895 2392 y Fw(p)1927 2400 y(n)1974 2411 y FC(\()p Fy(C)2038 2419 y Fw(n)2081 2411 y FC(\))2138 2378 y Fv(\024)25 b FF(8)p FD(\031)19 b FF(\(1)i(+)f FD(\013)p FF(\))26 b FD(:)486 2592 y FF(Since)38 b(the)g(righ)m(t)h (hand)e(side)h(in)g(\(16\))i(is)e(uniformly)f(b)s(ounded)f(in)i FD(L)2938 2559 y Fy(1)2938 2619 y FC(lo)r(c)3030 2592 y FF(\()p Fu(R)3131 2559 y FC(2)3171 2592 y FF(\),)i(w)m(e)386 2699 y(can)h(use)f(Harnac)m(k's)i(inequalit)m(y)g(\(see)g(for)e (instance)h([2)q(,)g(14)q(])g(in)f(similar)h(cases\))h(to)386 2807 y(deduce)31 b(that)i FD(W)975 2821 y FA(n)1053 2807 y FF(is)f(uniformly)f(b)s(ounded)f(in)h FD(L)2104 2774 y Fy(1)2104 2835 y FC(lo)r(c)2196 2807 y FF(.)45 b(Hence,)33 b(b)m(y)f(elliptic)h(regularit)m(y)386 2930 y(theory)-8 b(,)43 b FD(W)787 2944 y FA(n)873 2930 y FF(is)c(uniformly)g(b)s (ounded)e(in)i FD(C)1964 2886 y FC(2)p FA(;\013)1957 2960 y FC(lo)r(c)2068 2930 y FF(.)68 b(So)40 b(w)m(e)g(can)g(\014nd)d (a)j(subsequence)386 3044 y(along)26 b(whic)m(h)g FD(W)965 3058 y FA(n)1037 3044 y FF(con)m(v)m(erges)h(p)s(oin)m(t)m(wise)f (\(uniformly)f(on)g(ev)m(ery)h(compact)h(set)f(in)f Fu(R)3300 3011 y FC(2)3339 3044 y FF(\))386 3152 y(to)31 b(a)g(function)f FD(W)43 b FF(whic)m(h)30 b(satis\014es)386 3318 y(\(17\))888 b Fv(\000)p FF(\001)p FD(W)37 b FF(=)25 b FD(e)1842 3280 y FA(W)2014 3318 y FF(in)91 b Fu(R)2247 3280 y FC(2)2301 3318 y FD(:)386 3484 y FF(F)-8 b(urthermore,)30 b(b)m(y)h(F)-8 b(atou's)32 b(Lemma,)693 3578 y FB(Z)744 3784 y Ft(R)792 3765 y Fz(2)845 3702 y FD(e)887 3664 y FA(W)983 3702 y FD(dx)26 b Fv(\024)81 b FF(lim)1204 3757 y FA(n)p Fy(!)p FC(+)p Fy(1)1483 3578 y FB(Z)1534 3784 y Fy(C)1571 3792 y Fw(n)1633 3574 y FB(\022)1700 3702 y FF(1)20 b(+)1866 3640 y FD(W)1952 3654 y FA(n)p 1866 3681 133 4 v 1886 3764 a FD(p)1932 3778 y FA(n)2009 3574 y FB(\023)2076 3596 y FA(p)2112 3604 y Fw(n)2173 3702 y FD(dx)26 b Fv(\024)f FF(8)p FD(\031)19 b FF(\(1)i(+)e FD(\013)p FF(\))27 b FD(<)d FF(8)p FD(\031)29 b(;)386 3927 y FF(as)39 b FD(\013)g Fv(2)g FF([)p Fv(\000)p FF(1)p FD(;)15 b FF(0\).)67 b(But)39 b(this)g(is)f(imp)s(ossible,)j(since)e(according)h(to)f([5)q(],)i(ev)m (ery)e(solu-)386 4037 y(tion)f FD(W)50 b FF(of)44 b(\(17\))39 b(with)e FD(e)1288 4004 y FA(W)1406 4037 y Fv(2)g FD(L)1566 4004 y FC(1)1605 4037 y FF(\()p Fu(R)1706 4004 y FC(2)1746 4037 y FF(\),)i(m)m(ust)f(satisfy)2369 3963 y FB(R)2412 4069 y Ft(R)2460 4050 y Fz(2)2513 4037 y FD(e)2555 4004 y FA(W)2651 4037 y FD(dx)g FF(=)e(8)p FD(\031)41 b FF(\(also)e(see)386 4145 y([7)q(,)30 b(8)q(]\).)2661 b Ff(\003)386 4319 y FK(Corollary)50 b(18.)e Fn(F)-7 b(or)45 b(a)e(subse)-5 b(quenc)g(e)43 b(of)h Fv(k)p FD(w)2053 4333 y FA(n)2100 4319 y Fv(k)2145 4337 y FA(L)2193 4318 y Fo(1)2259 4337 y FC(\()p Fy(C)t FC(\))2403 4319 y FF(=)h FD(w)2584 4333 y FA(n)2631 4319 y FF(\(0)p FD(;)15 b FF(0\))45 b Fn(\(denote)-5 b(d)45 b(the)386 4430 y(same)33 b(way\))h(we)f(have:)1235 4596 y FF(lim)1178 4651 y FA(n)p Fy(!)p FC(+)p Fy(1)1432 4596 y FD(w)1497 4610 y FA(n)1545 4596 y FF(\(0)p FD(;)15 b FF(0\))27 b(=)e(1)g FD(;)1235 4782 y FF(lim)1178 4838 y FA(n)p Fy(!)p FC(+)p Fy(1)1432 4709 y FB(\002)1470 4782 y FD(w)1535 4796 y FA(n)1582 4782 y FF(\(0)p FD(;)15 b FF(0\))1782 4709 y FB(\003)1822 4731 y FA(p)1858 4739 y Fw(n)1930 4782 y FF(=)25 b(0)g FD(;)1235 4983 y FF(lim)1178 5038 y FA(n)p Fy(!)p FC(+)p Fy(1)1432 4983 y FD(p)1478 4997 y FA(n)1540 4909 y FB(\002)1578 4983 y FD(w)1643 4997 y FA(n)1690 4983 y FF(\(0)p FD(;)15 b FF(0\))1890 4909 y FB(\003)1930 4932 y FA(p)1966 4940 y Fw(n)2008 4932 y Fy(\000)p FC(2)2128 4983 y FF(=)25 b FD(\026)g Fv(2)g FF([1)p FD(;)15 b FF(+)p Fv(1)p FF(\))26 b FD(:)386 5191 y Fn(Pr)-5 b(o)g(of.)43 b FF(The)31 b(existence)j(of)e(a)h(limit)g FD(\026)27 b Fv(\025)h FF(1)33 b(is)f(just)f(a)i(consequence)g(of)f (Lemmata)h(14)386 5299 y(and)f(17.)48 b(F)-8 b(urthermore)33 b(b)m(y)f(Lemma)h(15,)i FD(p)1909 5313 y FA(n)1984 5299 y FF(=)29 b(2)p FD(=")2216 5313 y FA(n)2293 5299 y Fv(!)g FF(+)p Fv(1)j FF(as)h FD(n)c Fv(!)g FF(+)p Fv(1)p FF(,)k(whic)m(h)386 5407 y(pro)m(v)m(es)h(that)g([)p FD(w)960 5421 y FA(n)1008 5407 y FF(\(0)p FD(;)15 b FF(0\)])1233 5374 y FA(p)1269 5382 y Fw(n)1350 5407 y FF(con)m(v)m(erges)36 b(to)e(0.)51 b(Finally)-8 b(,)36 b(according)e(to)g(Corollary)h(16,)386 5515 y(lim)15 b(inf)638 5529 y FA(n)p Fy(!)p FC(+)p Fy(1)896 5515 y FD(w)961 5529 y FA(n)1008 5515 y FF(\(0)p FD(;)g FF(0\))33 b Fv(\025)d FF(1)j(and)g(if)h(this)f(limit)h(w)m(ere)g(not)g (1,)h(w)m(e)e(w)m(ould)h(get)g(a)g(con-)386 5623 y(tradiction)d(to)g (the)g(existence)h(of)e FD(\026)p FF(.)1661 b Ff(\003)p eop end %%Page: 18 18 TeXDict begin 18 17 bop 386 259 a FC(18)152 b(JEAN)23 b(DOLBEA)n(UL)-6 b(T,)23 b(MARIA)g(J.)h(ESTEBAN)f(AND)g(GABRIELLA)h(T) -6 b(ARANTELLO)486 459 y FF(De\014ne)30 b(the)h(function)1016 672 y FD(V)1069 686 y FA(n)1116 672 y FF(\()p FD(t;)15 b(\022)s FF(\))26 b(=)e FD(p)1472 686 y FA(n)1534 544 y FB(\022)1618 611 y FD(w)1683 625 y FA(n)1730 611 y FF(\()p FD(t;)15 b(\022)s FF(\))p 1611 651 315 4 v 1611 734 a FD(w)1676 748 y FA(n)1723 734 y FF(\(0)p FD(;)g FF(0\))1955 672 y Fv(\000)20 b FF(1)2091 544 y FB(\023)2265 672 y Fv(8)25 b FF(\()p FD(t;)15 b(\022)s FF(\))25 b Fv(2)g(C)30 b FD(:)386 903 y FF(It)g(satis\014es:)615 1133 y Fv(\000)p FF(\001)p FD(V)815 1147 y FA(n)886 1133 y FF(=)25 b FD(p)1028 1147 y FA(n)1090 1059 y FB(\000)1132 1133 y FD(w)1197 1147 y FA(n)1244 1133 y FF(\(0)p FD(;)15 b FF(0\))1444 1059 y FB(\001)1487 1082 y FA(p)1523 1090 y Fw(n)1565 1082 y Fy(\000)p FC(2)1675 1005 y FB(\022)1742 1133 y FF(1)21 b(+)1908 1071 y FD(V)1961 1085 y FA(n)p 1908 1112 100 4 v 1912 1195 a FD(p)1958 1209 y FA(n)2018 1005 y FB(\023)2085 1027 y FA(p)2121 1035 y Fw(n)2163 1027 y Fy(\000)p FC(1)2211 1133 y Fv(\000)f FD(a)2350 1095 y FC(2)2350 1155 y FA(n)2412 1133 y FD(p)2458 1147 y FA(n)2520 1005 y FB(\022)2587 1133 y FF(1)h(+)2754 1071 y FD(V)2807 1085 y FA(n)p 2754 1112 V 2758 1195 a FD(p)2804 1209 y FA(n)2864 1005 y FB(\023)3037 1133 y FF(in)90 b Fv(C)21 b FD(;)615 1323 y(V)668 1337 y FA(n)740 1323 y Fv(\024)k FF(0)g(=)g FD(V)1055 1337 y FA(n)1102 1323 y FF(\(0)p FD(;)15 b FF(0\))28 b FD(;)197 b(V)1605 1337 y FA(n)1652 1323 y FF(\()p FD(t;)15 b Fv(\001)p FF(\))92 b(is)30 b(2)p FD(\031)s FF(-p)s(erio)s(dic)c FD(:)386 1504 y FF(W)-8 b(e)31 b(also)h(observ)m(e)f(that)519 1709 y FD(p)565 1723 y FA(n)627 1636 y FB(\000)668 1709 y FD(w)733 1723 y FA(n)780 1709 y FF(\(0)p FD(;)15 b FF(0\))980 1636 y FB(\001)1024 1658 y FA(p)1060 1666 y Fw(n)1121 1585 y FB(Z)1172 1792 y Fy(C)1232 1608 y FB(\020)1286 1709 y FF(1)21 b(+)1453 1648 y FD(V)1506 1662 y FA(n)p 1453 1688 V 1457 1772 a FD(p)1503 1786 y FA(n)1563 1608 y FB(\021)1617 1631 y FA(p)1653 1639 y Fw(n)1714 1709 y FD(dx)26 b FF(=)f FD(p)1981 1723 y FA(n)2058 1585 y FB(Z)2108 1792 y Fy(C)2169 1709 y Fv(j)p FD(w)2259 1723 y FA(n)2306 1709 y Fv(j)2331 1672 y FA(p)2367 1680 y Fw(n)2429 1709 y FD(dx)g Fv(\024)g FD(p)2695 1723 y FA(n)2772 1585 y FB(Z)2823 1792 y Fy(C)2883 1709 y Fv(j)p FD(w)2975 1672 y Fy(\003)2973 1732 y FA(n)3020 1709 y Fv(j)3045 1672 y FA(p)3081 1680 y Fw(n)3143 1709 y FD(dx)386 1946 y FF(and)32 b(b)m(y)i(\(14\))q(,)g(lim)1041 1960 y FA(n)p Fy(!1)1244 1946 y FD(p)1290 1960 y FA(n)1352 1873 y FB(R)1395 1978 y Fy(C)1455 1946 y Fv(j)p FD(w)1547 1913 y Fy(\003)1545 1969 y FA(n)1592 1946 y Fv(j)1617 1913 y FA(p)1653 1921 y Fw(n)1715 1946 y FD(dx)29 b FF(=)g(8)15 b FD(\031)k FF(\()p FD(\013)j FF(+)g(1\).)48 b(In)32 b(particular,)h(b)m(y)g(Corol-)386 2054 y(lary)e(18,)g(w)m(e)g(obtain) 803 2277 y(lim)746 2333 y FA(n)p Fy(!)p FC(+)p Fy(1)1026 2277 y FD(p)1072 2291 y FA(n)1133 2204 y FB(\000)1175 2277 y FD(w)1240 2291 y FA(n)1287 2277 y FF(\(0)p FD(;)15 b FF(0\))1487 2204 y FB(\001)1531 2226 y FA(p)1567 2234 y Fw(n)1609 2226 y Fy(\000)p FC(2)1718 2154 y FB(Z)1769 2360 y Fy(C)1829 2176 y FB(\020)1883 2277 y FF(1)21 b(+)2050 2216 y FD(V)2103 2230 y FA(n)p 2050 2256 V 2054 2340 a FD(p)2100 2354 y FA(n)2160 2176 y FB(\021)2214 2199 y FA(p)2250 2207 y Fw(n)2312 2277 y FD(dx)40 b Fv(\024)g FF(8)p FD(\031)19 b FF(\(1)i(+)f FD(\013)p FF(\))26 b FD(:)386 2505 y FK(Lemma)38 b(19.)43 b Fn(Up)35 b(to)h(a)f(subse)-5 b(quenc)g(e,)35 b FD(V)1859 2519 y FA(n)1941 2505 y Fn(c)-5 b(onver)g(ges)36 b(to)f(a)h(function)f FD(V)55 b Fn(p)-5 b(ointwise)386 2613 y(and)32 b FD(C)633 2580 y FC(2)672 2613 y Fn(-uniformly)g(on)g(any)h(c)-5 b(omp)g(act)33 b(set)f(in)f Fu(R)18 b Fv(\002)f FF([)p Fv(\000)p FD(\031)s(;)e(\031)s FF(])p Fn(.)43 b(F)-7 b(urthermor)i(e)34 b FD(V)51 b Fn(satis-)386 2721 y(\014es:)386 3116 y FF(\(18\))711 2820 y FB(8)711 2902 y(>)711 2930 y(>)711 2957 y(>)711 2984 y(>)711 3011 y(<)711 3175 y(>)711 3202 y(>)711 3230 y(>)711 3257 y(>)711 3284 y(:)833 2899 y Fv(\000)p FF(\001)p FD(V)45 b FF(=)25 b FD(\026)15 b(e)1286 2866 y FA(V)1440 2899 y Fn(in)93 b Fv(C)30 b FD(;)833 3115 y FF(max)1002 3129 y Fy(C)1062 3115 y FD(V)46 b Fv(\024)25 b FF(0)h(=)f FD(V)20 b FF(\(0)p FD(;)15 b FF(0\))27 b FD(;)108 b(V)21 b FF(\()p FD(t;)15 b Fv(\001)p FF(\))94 b Fn(is)32 b FF(2)p FD(\031)s Fn(-p)-5 b(erio)g(dic)95 b Fv(8)25 b FD(t)g Fv(2)g Fu(R)g FD(;)833 3333 y(\026)903 3260 y FB(R)946 3365 y Fy(C)1021 3333 y FD(e)1063 3300 y FA(V)1140 3333 y FD(dx)40 b Fv(\024)g FF(8)p FD(\031)19 b FF(\(1)i(+)f FD(\013)p FF(\))26 b FD(;)651 3608 y(V)20 b FF(\()p FD(t;)15 b(\022)s FF(\))26 b(=)f FD(V)20 b FF(\()p Fv(\000)p FD(t;)15 b(\022)s FF(\))25 b FD(;)1536 3546 y(@)5 b(V)p 1536 3587 127 4 v 1556 3670 a(@)g(t)1673 3608 y FF(\()p FD(t;)15 b(\022)s FF(\))25 b FD(<)g FF(0)93 b Fv(8)25 b FD(t)g(>)g FF(0)h FD(;)108 b Fv(8)25 b FD(\022)i Fv(2)e FF([)p Fv(\000)p FD(\031)s(;)15 b(\031)s FF(])26 b FD(;)386 3796 y Fn(and)386 4003 y FF(\(19\))593 3880 y FB(Z)684 3906 y FA(\031)643 4086 y Fy(\000)p FA(\031)761 3902 y FB(\020)825 3942 y FD(@)5 b(V)p 825 3982 V 839 4066 a(@)g(\022)961 3902 y FB(\021)1016 3925 y FC(2)1070 4003 y FD(d\022)28 b FF(=)1284 3880 y FB(Z)1375 3906 y FA(\031)1334 4086 y Fy(\000)p FA(\031)1452 3902 y FB(\020)1516 3942 y FD(@)5 b(V)p 1516 3982 V 1536 4066 a(@)g(t)1652 3902 y FB(\021)1707 3925 y FC(2)1761 4003 y FD(d\022)t Fv(\000)r FF(8)p FD(\031)19 b FF(\(1)r(+)r FD(\013)p FF(\))2292 3966 y FC(2)2334 4003 y FF(+)r(2)p FD(\026)2522 3880 y FB(Z)2613 3906 y FA(\031)2572 4086 y Fy(\000)p FA(\031)2690 4003 y FD(e)2732 3966 y FA(V)2808 4003 y FD(d\022)95 b Fv(8)25 b FD(t)g Fv(2)g Fu(R)g FD(:)386 4251 y Fn(Pr)-5 b(o)g(of.)43 b FF(Since)26 b Fv(\000)p FF(\001)p FD(V)1100 4265 y FA(n)1172 4251 y FF(is)g(uniformly)f(b)s(ounded)f(in)h FD(L)2199 4218 y Fy(1)2199 4279 y FC(lo)r(c)2291 4251 y FF(\()p Fu(R)2392 4218 y FC(2)2432 4251 y FF(\),)i(b)m(y)f(Harnac)m(k's)h (inequal-)386 4359 y(it)m(y)-8 b(,)27 b(w)m(e)d(see)g(that)g FD(V)1045 4373 y FA(n)1116 4359 y FF(is)f(uniformly)g(b)s(ounded)f(in)h FD(L)2134 4326 y Fy(1)2134 4387 y FC(lo)r(c)2226 4359 y FF(.)39 b(Hence,)26 b(b)m(y)d(elliptic)i(regularit)m(y)386 4482 y(theory)-8 b(,)37 b FD(V)748 4496 y FA(n)831 4482 y FF(is)e(uniformly)f(b)s(ounded)f(in)i FD(C)1905 4438 y FC(2)p FA(;\013)1898 4511 y FC(lo)r(c)2009 4482 y FF(.)56 b(Therefore,)36 b(up)e(to)i(a)g(subsequence,)386 4590 y FD(V)439 4604 y FA(n)513 4590 y FF(con)m(v)m(erges)29 b(p)s(oin)m(t)m(wise,)g(and)d(uniformly)h(on)g(ev)m(ery)h(compact)g (set)g(in)f Fv(C)5 b FF(,)28 b(to)g(a)f(func-)386 4698 y(tion)e FD(V)45 b FF(whic)m(h)24 b(satis\014es)h(\(18\))h(with)f(0)g Fv(\024)g FF(1)9 b(+)g FD(\013)25 b(<)g FF(1,)i(and)d(also)h(inherits)g (the)f(symmet-)386 4806 y(ric)g(prop)s(erties)f(of)i FD(V)1083 4820 y FA(n)1130 4806 y FF(.)38 b(T)-8 b(o)24 b(obtain)h(\(19\))g(observ)m(e)g(\014rst)e(that)i(the)f(result)g(of)g (Lemma)g(13)386 4914 y(can)31 b(b)s(e)e(rewritten)i(as)f(follo)m(ws,) 386 5026 y FB(Z)477 5053 y FA(\031)436 5233 y Fy(\000)p FA(\031)529 5049 y FB(\020)593 5089 y FD(@)5 b(V)699 5103 y FA(n)p 593 5129 154 4 v 620 5212 a FD(@)g(\022)756 5049 y FB(\021)810 5072 y FC(2)850 5150 y FD(d\022)28 b FF(=)1064 5026 y FB(Z)1155 5053 y FA(\031)1114 5233 y Fy(\000)p FA(\031)1206 5049 y FB(\020)1271 5089 y FD(@)5 b(V)1377 5103 y FA(n)p 1271 5129 V 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Fu(R)22 b Fv(\002)h FF([)p Fv(\000)p FD(\031)s(;)15 b(\031)s FF(].)52 b(Hence)35 b(b)m(y)f(means)g(of)g(Lemma)g(15)h(and)e (Corollary)i(18,)h(w)m(e)f(can)f(pass)386 5600 y(to)d(the)g(limit)g(in) f(the)g(ab)s(o)m(v)m(e)i(iden)m(tit)m(y)g(and)e(deduce)g(\(19\))q(.)911 b Ff(\003)p eop end %%Page: 19 19 TeXDict begin 19 18 bop 599 259 a FC(WEIGHTED)32 b(MOSER-TR)n(UDINGER)e (AND)g(HARD)n(Y-SOBOLEV)f(INEQUALITIES)144 b(19)386 459 y FK(Lemma)35 b(20.)42 b Fn(The)33 b(fol)5 b(lowing)33 b(estimates)h(hold:)1066 637 y FF(lim)1010 692 y FA(n)p Fy(!)p FC(+)p Fy(1)1264 637 y FD(p)1310 651 y FA(n)1372 536 y FB(\020)1426 637 y Fv(k)p FD(w)1536 651 y FA(n)1583 637 y Fv(k)1628 593 y FA(p)1664 601 y Fw(n)1628 670 y FA(L)1676 651 y Fw(p)1708 659 y(n)1755 670 y FC(\()p Fy(C)t FC(\))1876 637 y Fv(\000)20 b(k)p FD(w)2079 599 y Fy(\003)2077 659 y FA(n)2124 637 y Fv(k)2169 593 y FA(p)2205 601 y Fw(n)2169 670 y FA(L)2217 651 y Fw(p)2249 659 y(n)2296 670 y FC(\()p Fy(C)t FC(\))2396 536 y FB(\021)2476 637 y 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FF(\))d(+)e(4)15 b(log)j Fv(j)p FD(z)t Fv(j)26 b FD(;)p eop end %%Page: 20 20 TeXDict begin 20 19 bop 386 259 a FC(20)152 b(JEAN)23 b(DOLBEA)n(UL)-6 b(T,)23 b(MARIA)g(J.)h(ESTEBAN)f(AND)g(GABRIELLA)h(T) -6 b(ARANTELLO)386 459 y FF(and)30 b(so,)h(necessarily)g FD(b)25 b FF(=)g(0)31 b(and)f FD(\025)25 b FF(=)g(1.)41 b(Hence,)1152 685 y FD(')p FF(\()p FD(z)t FF(\))26 b(=)f FD(')p FF(\()p FD(r)s FF(\))h(=)f(log)1877 530 y FB(")1953 624 y FF(8)15 b(\()p FD(\014)26 b FF(+)20 b(1\))2296 591 y FC(2)2351 624 y FD(r)2395 591 y FC(2)p FA(\014)p 1940 664 551 4 v 1940 696 a FB(\000)1982 769 y FF(1)g(+)g FD(r)2182 743 y FC(2\()p FA(\014)s FC(+1\))2409 696 y FB(\001)2451 718 y FC(2)2500 530 y FB(#)2584 685 y FD(:)386 914 y FF(By)31 b(direct)f(calculation,)j(w)m(e)e(get)1139 982 y FB(Z)1189 1188 y Ft(R)1237 1169 y Fz(2)1291 1105 y FD(e)1333 1068 y FA(')1399 1105 y FD(dx)25 b FF(=)g(8)p FD(\031)19 b FF(\(1)i(+)f FD(\014)5 b FF(\))41 b Fv(\024)f FF(8)p FD(\031)19 b FF(\(1)i(+)f FD(\013)p FF(\))26 b FD(:)386 1306 y FF(In)k(other)h(w)m(ords,)g Fv(\000)p FF(1)26 b FD(<)g(\014)31 b Fv(\024)26 b FD(\013)h(<)f FF(0.)42 b(As)31 b(a)h(consequence,)g(w)m(e)f(\014nd)e(that)j FD(V)46 b FF(=)26 b FD(V)20 b FF(\()p FD(t)p FF(\))386 1414 y(is)30 b(giv)m(en)i(b)m(y)745 1641 y FD(V)20 b FF(\()p FD(t)p FF(\))26 b(=)f FD(')p FF(\()p FD(e)1179 1603 y Fy(\000)p FA(t)1265 1641 y FF(\))20 b Fv(\000)g FF(2)p FD(t)h Fv(\000)f FF(log)d FD(\026)25 b FF(=)g(log)2042 1485 y FB(")2304 1579 y FF(2)15 b(\()p FD(\014)26 b FF(+)20 b(1\))2647 1546 y FC(2)p 2105 1620 783 4 v 2105 1724 a FD(\026)2175 1651 y FB(\000)2231 1724 y FF(cosh)q(\(\()p FD(\014)26 b FF(+)20 b(1\))15 b FD(t)p FF(\))2805 1651 y FB(\001)2848 1673 y FC(2)2897 1485 y FB(#)2990 1641 y FD(;)386 1882 y FF(with)30 b Fv(\000)p FF(1)25 b FD(<)g(\014)31 b Fv(\024)25 b FD(\013)h(<)e FF(0.)42 b(The)29 b(condition)i FD(V)21 b FF(\(0\))26 b(=)f(0)31 b(implies)f FD(\026)25 b FF(=)g(2)15 b(\()p FD(\014)27 b FF(+)20 b(1\))3099 1849 y FC(2)3139 1882 y FF(.)386 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Fv(\000)2530 2596 y FF(4)15 b(\()p FD(\014)27 b FF(+)20 b(1\))2874 2563 y FC(2)p 2366 2636 V 2366 2667 a FB(\000)2423 2741 y FF(cosh\(\()p FD(\014)26 b FF(+)20 b(1\))15 b FD(t)p FF(\))2996 2667 y FB(\001)3039 2690 y FC(2)3113 2657 y FD(;)386 2891 y FF(and)30 b(w)m(e)h(get)g FD(\014)g FF(=)24 b FD(\013)p FF(.)42 b(Therefore)30 b(\(20\))i(is)e(established)h(and)e(necessarily)450 3087 y(lim)421 3142 y FA(n)p Fy(!1)621 3087 y FD(p)667 3101 y FA(n)728 3013 y FB(\000)770 3087 y FD(w)835 3101 y FA(n)882 3087 y FF(\(0)p FD(;)15 b FF(0\))1082 3013 y FB(\001)1126 3036 y FA(p)1162 3044 y Fw(n)1223 2963 y FB(Z)1274 3170 y Fy(C)1334 2986 y FB(\020)1388 3087 y FF(1)21 b(+)1555 3026 y FD(V)1608 3040 y FA(n)p 1555 3066 100 4 v 1559 3149 a FD(p)1605 3163 y FA(n)1665 2986 y FB(\021)1719 3009 y FA(p)1755 3017 y Fw(n)1816 3087 y FD(dx)26 b FF(=)f(2\()p FD(\013)c FF(+)f(1\))2367 3050 y FC(2)2423 2963 y FB(Z)2473 3170 y Fy(C)2533 3087 y FD(e)2575 3050 y FA(V)2652 3087 y FD(dx)25 b FF(=)g(8)15 b FD(\031)k FF(\()p FD(\013)i FF(+)f(1\))26 b FD(:)386 3288 y FF(Th)m(us,)j(b)m(y)i(recalling)i(\(14\))r(,)d(w)m(e)h(complete) h(the)e(pro)s(of.)1047 b Ff(\003)486 3450 y FF(De\014ne)1194 3611 y FD(r)1235 3625 y FA(n)1307 3611 y FF(=)25 b(sup)1451 3689 y Fy(C)1571 3479 y FB(\014)1571 3534 y(\014)1571 3588 y(\014)1571 3643 y(\014)1616 3483 y(\022)1794 3549 y FD(w)1859 3563 y FA(n)p 1693 3590 315 4 v 1693 3673 a FD(w)1758 3687 y FA(n)1805 3673 y FF(\(0)p FD(;)15 b FF(0\))2017 3483 y FB(\023)2084 3505 y FA(p)2120 3513 y Fw(n)2162 3505 y Fy(\000)p FC(2)2276 3611 y Fv(\000)35 b FD(e)2424 3573 y FA(V)2486 3479 y FB(\014)2486 3534 y(\014)2486 3588 y(\014)2486 3643 y(\014)2541 3611 y FD(:)386 3826 y FK(Lemma)g(21.)42 b Fn(With)33 b(the)g(ab)-5 b(ove)33 b(notations,)h FF(lim)2111 3840 y FA(n)p Fy(!)p FC(+)p Fy(1)2369 3826 y FD(r)2410 3840 y FA(n)2482 3826 y FF(=)25 b(0)p Fn(.)386 3990 y(Pr)-5 b(o)g(of.)43 b FF(Fix)31 b FD(")25 b(>)g FF(0)31 b(and)f(c)m(ho)s(ose)h FD(R)1603 4004 y FA(")1665 3990 y FD(>)25 b 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FA(n)1690 5084 y FF(\(0)p FD(;)g FF(0\)\))1927 5042 y FA(p)1963 5050 y Fw(n)2005 5042 y Fy(\000)p FC(2)2128 5084 y FF(and)27 b FD(e)2344 5051 y FA(V)2434 5084 y FF(are)h(ev)m(en)h(in)f FD(t)g FF(and)f(mono-)386 5192 y(tone)k(decreasing)g(in)f FD(t)25 b(>)g FF(0)31 b(b)m(y)f(Lemma)h(19,) g(for)f FD(n)25 b Fv(\025)g FD(n)2331 5206 y FA(")2398 5192 y FF(w)m(e)31 b(\014nd)d(the)j(estimate)410 5389 y FD(r)451 5403 y FA(n)523 5389 y Fv(\024)171 b FF(sup)619 5472 y Fy(j)p FA(t)p Fy(j\024)p FA(R)792 5480 y Fw(")837 5472 y FA(;)19 b Fy(j)p FA(\022)r Fy(j\024)p FA(\031)1063 5284 y FB(\014)1063 5339 y(\014)1063 5394 y(\014)1093 5288 y(\020)1164 5328 y FD(w)1229 5342 y FA(n)1276 5328 y FF(\()p FD(t;)c(\022)s FF(\))p 1158 5368 315 4 v 1158 5451 a FD(w)1223 5465 y FA(n)1270 5451 y FF(\(0)p FD(;)g FF(0\))1482 5288 y FB(\021)1536 5311 y FA(p)1572 5319 y Fw(n)1614 5311 y Fy(\000)p FC(2)1713 5389 y Fv(\000)20 b FD(e)1846 5351 y FA(V)1907 5284 y FB(\014)1907 5339 y(\014)1907 5394 y(\014)619 5533 y(|)p 660 5533 578 11 v 578 w({z)p 1320 5533 V 578 w(})1199 5623 y FA(<"=)p FC(4)1953 5389 y FF(+)49 b(sup)2039 5472 y Fy(j)p FA(t)p Fy(j\025)p FA(R)2212 5480 y Fw(")2260 5288 y FB(\020)2331 5328 y FD(w)2396 5342 y FA(n)2443 5328 y FF(\()p FD(t;)15 b(\022)s FF(\))p 2324 5368 315 4 v 2324 5451 a FD(w)2389 5465 y FA(n)2436 5451 y FF(\(0)p FD(;)g FF(0\))2648 5288 y FB(\021)2703 5311 y FA(p)2739 5319 y Fw(n)2781 5311 y Fy(\000)p FC(2)2039 5533 y FB(|)p 2080 5533 337 11 v 337 w({z)p 2499 5533 V 337 w(})2192 5630 y FA(e)2225 5611 y Fw(V)e Fz(\()p Fw(R)2344 5619 y(")2377 5611 y Fz(\))2405 5630 y FC(+)p FA("=)p FC(4)p FA(<"=)p FC(2)2890 5389 y FF(+)50 b(sup)2976 5472 y Fy(j)p FA(t)p Fy(j\025)p FA(R)3149 5480 y Fw(")3197 5389 y FD(e)3239 5351 y FA(V)2976 5533 y FB(|)p 3017 5533 81 11 v 81 w({z)p 3180 5533 V 81 w(})3087 5623 y FA("=)p FC(4)3326 5389 y FD(;)p eop end %%Page: 21 21 TeXDict begin 21 20 bop 599 259 a FC(WEIGHTED)32 b(MOSER-TR)n(UDINGER)e (AND)g(HARD)n(Y-SOBOLEV)f(INEQUALITIES)144 b(21)386 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