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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 82 /R put readonly def /FontBBox{-55 -420 2343 920}readonly def /UniqueID 5031982 def currentdict end currentfile eexec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cleartomark %%EndFont %%BeginFont: 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 13 /fl put dup 34 /quotedblright 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 48 /zero put dup 49 /one put dup 50 /two put dup 51 /three put dup 52 /four put dup 54 /six put dup 57 /nine put dup 58 /colon put dup 59 /semicolon put dup 65 /A put dup 66 /B put dup 67 /C put dup 68 /D put dup 69 /E put dup 70 /F put dup 71 /G put dup 72 /H put dup 73 /I put dup 74 /J put dup 75 /K put dup 76 /L put dup 77 /M put dup 78 /N put dup 79 /O put dup 80 /P put dup 81 /Q put dup 83 /S put dup 84 /T put dup 86 /V put dup 91 /bracketleft put dup 92 /quotedblleft put dup 93 /bracketright put dup 97 /a put dup 98 /b put dup 99 /c put dup 100 /d put dup 101 /e put dup 102 /f put dup 103 /g put dup 104 /h put dup 105 /i put dup 106 /j put dup 107 /k put dup 108 /l put dup 109 /m put dup 110 /n put dup 111 /o put dup 112 /p put dup 113 /q put dup 114 /r put dup 115 /s put dup 116 /t put dup 117 /u put dup 118 /v put dup 119 /w put dup 120 /x put dup 121 /y put dup 122 /z put dup 127 /dieresis put readonly def /FontBBox{-35 -250 1148 750}readonly def /UniqueID 5000827 def currentdict end currentfile eexec D9D66F633B846A97B686A97E45A3D0AA0529731C99A784CCBE85B4993B2EEBDE 3B12D472B7CF54651EF21185116A69AB1096ED4BAD2F646635E019B6417CC77B 532F85D811C70D1429A19A5307EF63EB5C5E02C89FC6C20F6D9D89E7D91FE470 B72BEFDA23F5DF76BE05AF4CE93137A219ED8A04A9D7D6FDF37E6B7FCDE0D90B 986423E5960A5D9FBB4C956556E8DF90CBFAEC476FA36FD9A5C8175C9AF513FE D919C2DDD26BDC0D99398B9F4D03D5993DFC0930297866E1CD0A319B6B1FD958 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6E5F982FE7CA9CAB278B7A8C880AD4DF417F6CC21D0DB44FD67422396AFCF0BE 1E822809267B9A778D9FC7F82CF23C36A2F78644C4CEF4F4346501D91DF929D3 C64EDDE62FEB3836A54E9D4FA81725D26AC52B6CE53D5F643FD0FC52CB9CBD1C C598CCC92116BC881099FE6896C1E34CB992CEB9B1EEDF635D3BF89F1F473E21 99140DAE4BC29D6F93F8780B8E84F839417CC10A4877F724D54A 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 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 19 /acute put dup 44 /comma put dup 45 /hyphen put dup 46 /period 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 79 /O put dup 80 /P put dup 82 /R put dup 83 /S put dup 84 /T put dup 86 /V put dup 87 /W put dup 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 106 /j put dup 107 /k put dup 108 /l put dup 109 /m put dup 110 /n put dup 111 /o 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{14 -250 1077 750}readonly def /UniqueID 5000772 def currentdict end currentfile eexec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Knuth. % Copyright (C) 1997 American Mathematical Society. All Rights Reserved. 11 dict begin /FontInfo 7 dict dup begin /version (001.100) readonly def /Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def /FullName (CMMIB7) readonly def /FamilyName (Computer Modern) readonly def /Weight (Bold) readonly def /ItalicAngle -14.035 def /isFixedPitch false def end readonly def /FontName /CMMIB7 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 12 /beta put dup 90 /Z put readonly def /FontBBox{0 -250 1294 750}readonly def /UniqueID 5087389 def currentdict end currentfile eexec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cleartomark %%EndFont %%BeginFont: CMBSY10 %!PS-AdobeFont-1.1: CMBSY10 1.00 %%CreationDate: 1992 Jul 23 21:21:18 % Copyright (C) 1997 American Mathematical Society. All Rights Reserved. 11 dict begin /FontInfo 7 dict dup begin /version (1.00) readonly def /Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def /FullName (CMBSY10) readonly def /FamilyName (Computer Modern) readonly def /Weight (Bold) readonly def /ItalicAngle -14.035 def /isFixedPitch false def end readonly def /FontName /CMBSY10 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 21 /greaterequal put dup 44 /arrowdblboth put readonly def /FontBBox{-27 -940 1332 825}readonly def /UniqueID 5000762 def currentdict end currentfile eexec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cleartomark %%EndFont %%BeginFont: CMMIB10 %!PS-AdobeFont-1.1: CMMIB10 1.100 %%CreationDate: 1996 Jul 23 07:54:00 % 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 (CMMIB10) readonly def /FamilyName (Computer Modern) readonly def /Weight (Bold) readonly def /ItalicAngle -14.04 def /isFixedPitch false def end readonly def /FontName /CMMIB10 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 73 /I put dup 90 /Z put dup 105 /i put dup 113 /q put readonly def /FontBBox{-15 -250 1216 750}readonly def /UniqueID 5087392 def currentdict end currentfile eexec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cleartomark %%EndFont %%BeginFont: TeX-cmex7 %!PS-AdobeFont-1.0: TeX-cmex7 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\040cmex7) def /FullName (TeX\040cmex7\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-cmex7 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 80 /P put readonly def /FontBBox {-14 -2954 1627 771} readonly def /UniqueID 4314415 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 109 /m put readonly def /FontBBox{11 -250 1241 750}readonly def /UniqueID 5087381 def currentdict end currentfile eexec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cleartomark %%EndFont %%BeginFont: CMMI8 %!PS-AdobeFont-1.1: CMMI8 1.100 %%CreationDate: 1996 Jul 23 07:53:54 % Copyright (C) 1997 American Mathematical Society. All Rights Reserved. 11 dict begin /FontInfo 7 dict dup begin /version (1.100) readonly def /Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def /FullName (CMMI8) readonly def /FamilyName (Computer Modern) readonly def /Weight (Medium) readonly def /ItalicAngle -14.04 def /isFixedPitch false def end readonly def /FontName /CMMI8 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 12 /beta put dup 23 /nu put readonly def /FontBBox{-24 -250 1110 750}readonly def /UniqueID 5087383 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 20 /lessequal put dup 21 /greaterequal put dup 49 /infinity put dup 56 /universal put readonly def /FontBBox{-30 -958 1146 777}readonly def /UniqueID 5000819 def currentdict end currentfile eexec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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 60 /less put dup 61 /slash put dup 84 /T put dup 109 /m put dup 113 /q put readonly def /FontBBox{-29 -250 1075 750}readonly def /UniqueID 5087384 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 11 /ff put dup 18 /grave put dup 19 /acute put dup 20 /caron put dup 35 /numbersign put dup 40 /parenleft put dup 41 /parenright put dup 44 /comma put dup 46 /period put dup 48 /zero put dup 49 /one put dup 50 /two put dup 51 /three put dup 52 /four put dup 53 /five put dup 54 /six put dup 55 /seven put dup 56 /eight put dup 57 /nine put dup 61 /equal put dup 65 /A put dup 66 /B put dup 67 /C put dup 68 /D put dup 69 /E put dup 70 /F put dup 71 /G put dup 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 80 /P put dup 82 /R put dup 83 /S put dup 84 /T put dup 85 /U put dup 86 /V put dup 88 /X put dup 89 /Y put dup 90 /Z put dup 91 /bracketleft put dup 93 /bracketright put dup 97 /a put dup 98 /b put dup 99 /c put dup 100 /d put dup 101 /e put dup 102 /f put dup 103 /g put dup 104 /h put dup 105 /i put dup 106 /j put dup 107 /k put dup 108 /l put dup 109 /m put dup 110 /n put dup 111 /o put dup 112 /p put dup 113 /q put dup 114 /r put dup 115 /s put dup 116 /t put dup 117 /u put dup 118 /v put dup 119 /w put dup 120 /x put dup 121 /y put dup 122 /z put dup 123 /endash put dup 127 /dieresis put readonly def /FontBBox{-39 -250 1036 750}readonly def /UniqueID 5000792 def currentdict end currentfile eexec D9D66F633B846A97B686A97E45A3D0AA052A014267B7904EB3C0D3BD0B83D891 016CA6CA4B712ADEB258FAAB9A130EE605E61F77FC1B738ABC7C51CD46EF8171 9098D5FEE67660E69A7AB91B58F29A4D79E57022F783EB0FBBB6D4F4EC35014F D2DECBA99459A4C59DF0C6EBA150284454E707DC2100C15B76B4C19B84363758 469A6C558785B226332152109871A9883487DD7710949204DDCF837E6A8708B8 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cleartomark %%EndFont %%BeginFont: EUFM7 %!PS-AdobeFont-1.1: EUFM7 2.1 %%CreationDate: 1992 Nov 20 17:36:25 % 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 (EUFM7) readonly def /FamilyName (Euler) readonly def /Weight (Medium) readonly def /ItalicAngle 0 def /isFixedPitch false def end readonly def /FontName /EUFM7 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 72 /H put readonly def /FontBBox{0 -250 1193 750}readonly def /UniqueID 5031992 def currentdict end currentfile eexec D9D66F633B846A97B686A97E45A3D0AA052A014267B7904EB3C0D3BD0B83D891 016CA6CA4B712ADEB258FAAB9A130EE605E61F77FC1B738ABC7C51CD46EF8171 9098D5FEE67660E69A7AB91B58F29A4D79E57022F783EB0FBBB6D4F4EC35014F D2DECBA99459A4C59DF0C6EBA150284454E707DC2100C15B76B4C19B84363758 469A6C558785B226332152109871A9883487DD7710949204DDCF837E6A8708B8 2BDBF16FBC7512FAA308A093FE5CF7158F1163B3DA4F9700DE5807F164169FBB 1458C43CD471029C362871D2FB69E0E5E617BC06F3B8621E3528E4B47E731AE1 0B406A3260424830B3C86A135457A566A1A716189B86883C171DA05829CE2E37 C020AAA2B4E1C2AB63462E7BB571434ED0811B99430919096D08C5F1C659B068 E87DB9366062D68FFD44AAD8A16740DCC214C32CDDDA354637C06EF93BC99352 DF04393C661FFFBF4BA20723ABD9B3E9CA9ABAFEED3C46C638D1A1C726DD7186 51137D23DD526D78AC5284266997E041592776D78B5DD8436571897EFD57A051 F9571E2957B23DF4ADB88D06EAAE9D73ABEC88C934E94205BFDF7115D9E667D6 CD2AFA8DCDA2D49EFC088135417D5D26117B20F923E8F0F5E92E0D8589BE5D93 7D4C3FEEF84B412F8177DE3E3C1711AA06686842AC5A3B3398B098FD06F255F0 2B237EF143FEE4CCC3540EA39B05197D2D9C149A2A71569B8608BA62D982CC7A 4FC2F4170B7A92531E4734A4D1D86FDA1B21AA3683CFC9EA65FB8A91990CEB69 AA62C0F22FDE470FA095FCBE4FB5BD40826BD6FECAA7F8B187412EFDC97E3DAB E2A836F16ED6FFA7F5B5B2714EC5C4A43E4E36D45D9F702CE875B0DFE6E08559 B60BF589C3941BFDAD1392B4D7BCE363E47162D6322FCA12758538A9DB5E4404 56BD008A9DB0E1A2D684F32BDE744F9457C839411F623C0AD633582CAC6FDD79 881E0A4F43DD393738E3CEB1DCAC0CCBAD384E5160BABAA5EF1F46632D05BB7C FC9396D17263BADE1AB2A229367D38F00D7B87124713CD716D9164E64FD1D52C FD6E2226BB350465D3614E241A269ED51FF3283446643AF9F18DCE671611DB2F 5D3EA77EE734D2BED623F973E6840B8DAD1E2C3C2666DD4DD1C1C8384F906A7B AACDF441BB0AAEA2A697E453E3EAC55C4F919BE1FA55F2AA4401ED692B9133A7 5BF0C311EF4ACD4F485EF5A54B63DB077D80F31DDE42D4E09AB93239AC68CA37 7A8FDC065D16712F4506E4A323192048E89521BD10507AC00D76015D9C7EB609 9AB5CAEEB500D6C922024DD67EC756BAF44093F5778E5AD47C8C3B0765D766F4 89D6AD3BB614E7E5BFA41965D4F29BA8482E4CC7E5DC0C6CE37FB83F76122C5D ED6977E2DD7AA74441E5924F11C67349402C9DC7230BDE3EC7E8B5E0EFDCA917 790C1EB9E437CE95EA1AC3DB13355F200A2661F582BFB004AFBCE9EAB865FBC4 B89F1AE7905C337236B8AACF029CAE929051467D15BB876A90F5ADA32FE2CB72 D2C96C6ED6B3C349A77E708AA841BBBB3DA4307DDB8EA1C21C3E95E22F8F47CC FF5A557A9A79CD7728C987A9C816E3F835AA97595562EEDA2A1B64FDF5861FEA BF4CC31DAF5DA5EA631DD514EDE1A213EA9244DB41EF7E379ED1E652A7CD4376 147BA33E6CA9EE5738F9BCC0B4F367A05A35F23694A471524BDE3DBC0E77E60A 849D6594E4BD82CBC0820A7C6031A4365184B0D8275F2B51D8A2BFC4F660B745 FCA494D541AEBA52F1DDAB7C93D333A41067909DD7303DAE5C905DA46AA036FC 3E5D1D1745050AAC2259553E70904AF1144B8F792E513F8EB71E590E29A1D4 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 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 72 /H put dup 83 /S put readonly def /FontBBox{-26 -224 1055 741}readonly def /UniqueID 5031986 def currentdict end currentfile eexec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cleartomark %%EndFont %%BeginFont: CMSY5 %!PS-AdobeFont-1.1: CMSY5 1.0 %%CreationDate: 1991 Aug 15 07:21:16 % Copyright (C) 1997 American Mathematical Society. All Rights Reserved. 11 dict begin /FontInfo 7 dict dup begin /version (1.0) readonly def /Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def /FullName (CMSY5) readonly def /FamilyName (Computer Modern) readonly def /Weight (Medium) readonly def /ItalicAngle -14.035 def /isFixedPitch false def end readonly def /FontName /CMSY5 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 0 /minus put dup 3 /asteriskmath put dup 21 /greaterequal put dup 48 /prime put readonly def /FontBBox{21 -944 1448 791}readonly def /UniqueID 5000815 def currentdict end currentfile eexec D9D66F633B846A97B686A97E45A3D0AA052F09F9C8ADE9D907C058B87E9B6964 7D53359E51216774A4EAA1E2B58EC3176BD1184A633B951372B4198D4E8C5EF4 A213ACB58AA0A658908035BF2ED8531779838A960DFE2B27EA49C37156989C85 E21B3ABF72E39A89232CD9F4237FC80C9E64E8425AA3BEF7DED60B122A52922A 221A37D9A807DD01161779DDE7D5FC1B2109839E5B52DFBAF552B11EFFB6A16C F03FB920C15AE724EFDF0CCBF00A838D34440FF9FED532F44036AD22561184C5 283722DDFA7285E62754372D716D704AC0E00B2F6AB67154241C7449AA047833 94CEDB08E8C92907FE72A0B05AE36A7B9226ACD6E7890A0B528FDDE84A950FC6 801DE75CF2E739E9121149CCB8B1C87A106822648D84A3D3FBF295EE6C4BF403 BBE9A1C1F6DAEDD1E642ACC486E609703D7612BFFD10C324F5DC710811F7F614 3691B400E3773987424C0D2B0D8A736873C6371DDB2442F05E018A2B5CA9A4AA 17AABB95D09E5890CFFFED5AC01495D89A53D3CF44556D089203F8FC8E7F9119 8496FAB6BED78BAA8A4333579662139575C4339D7716630EA7A09F9CD8CEDD53 7DCD6C852325F0309810A7AB405E10071DF5A6D6E8D386C5EF58E25747EB3A0E 6EB47369D84838AECC135C9F78854670FBD36AFB4220EE46DFC45B338335AAEA C38924A21B5FADFBBBFC34CD4D897581D6439AE390F562FB03B5EABDD66FEBBD BFD3FE225545DE872A86E4E5AFA60FD2E145FB3806D6D125383C589F85F3A575 5990EBC081F912BB741EE1A97C321D2155325491E93EC43649B03034765BDC8F 3E08B294305AB69194AF78A653CCBBA39CB48A4FF7CF869393CFC754DB0EE245 B91A93F5B428D2C02F635708B95645A56D17CCD01DDFD96CEEE111582810F498 3C7D390E2C53EE2C43B092B010273757E1422C1C2E7E11ADB464CA84003FCCDE 832FE2EB754FF71CC10F37CBD490B1CA76A9C75EA18B32DA68AEC2BF697D6AAF 105F98FC4919F266449689B581827316FCFBC9B2D6C789F6860DABA11C086EFC 04FC30545E2093DE9A0316E71E1C10D1FF07159B7ED739A242502419A2FB90C0 8C6090BE8734E94C8D149FFF0081C694C7227C70B501AF4C5A7BD408C809F12C 134FF3C99120DFAD2582DFE292A2A8E4BB93700CC4C8CA7CC5CA352501BE86B6 A7206CB6EA334484802DDAB1FE00E9EF201714455C1915F4388AC60F9F7A303D 3838AC1450A9237C0C99F0E5BDCD458A534FF9D73B97FB88ABC0F557CBA801B1 8FD62E94EF6D4409A7BBF525E401E90D0CF5C62B6B1971F20CD07E2482334F36 9F59A0895598FF947334DFB9172470EBA08DE77D56E4657BD1369E1A27485309 A9885F855A785EA42DD0B7B8B383F2BC880C9759AC101985669E4824DDC60C03 EA69CE677843E23789B77D3CE171765304F9684698181CC008CD0A3657258D86 494651AF4FCAD05611EA98B1DAF284FB15ECA939D8BE5E7B3AD6CE89A2513AD8 D1 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 cleartomark %%EndFont %%BeginFont: CMMI5 %!PS-AdobeFont-1.1: CMMI5 1.100 %%CreationDate: 1996 Aug 02 08:21:10 % Copyright (C) 1997 American Mathematical Society. All Rights Reserved. 11 dict begin /FontInfo 7 dict dup begin /version (1.100) readonly def /Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def /FullName (CMMI5) readonly def /FamilyName (Computer Modern) readonly def /Weight (Medium) readonly def /ItalicAngle -14.04 def /isFixedPitch false def end readonly def /FontName /CMMI5 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 13 /gamma put dup 17 /eta put dup 82 /R put dup 105 /i put dup 109 /m put dup 110 /n put dup 113 /q put readonly def /FontBBox{37 -250 1349 750}readonly def /UniqueID 5087380 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 dup 49 /one put dup 50 /two put dup 51 /three put dup 54 /six put readonly def /FontBBox{-341 -250 1304 965}readonly def /UniqueID 5000788 def currentdict end currentfile eexec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cleartomark %%EndFont %%BeginFont: MSBM7 %!PS-AdobeFont-1.1: MSBM7 2.1 %%CreationDate: 1992 Oct 17 08:30:50 % Math Symbol fonts were designed by the American Mathematical Society. % Copyright (C) 1997 American Mathematical Society. All Rights Reserved. 11 dict begin /FontInfo 7 dict dup begin /version (2.1) readonly def /Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def /FullName (MSBM7) readonly def /FamilyName (Euler) readonly def /Weight (Medium) readonly def /ItalicAngle 0 def /isFixedPitch false def end readonly def /FontName /MSBM7 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 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: CMSY7 %!PS-AdobeFont-1.1: CMSY7 1.0 %%CreationDate: 1991 Aug 15 07:21:52 % Copyright (C) 1997 American Mathematical Society. All Rights Reserved. 11 dict begin /FontInfo 7 dict dup begin /version (1.0) readonly def /Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def /FullName (CMSY7) readonly def /FamilyName (Computer Modern) readonly def /Weight (Medium) readonly def /ItalicAngle -14.035 def /isFixedPitch false def end readonly def /FontName /CMSY7 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 0 /minus put dup 2 /multiply put dup 3 /asteriskmath put dup 13 /circlecopyrt 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 75 /K put dup 77 /M put dup 104 /angbracketleft put dup 105 /angbracketright put dup 106 /bar put readonly def /FontBBox{-15 -951 1252 782}readonly def /UniqueID 5000817 def currentdict end currentfile eexec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3EEEBC56A6148EE24A5D83C709BF7376A461C1C5E3E874BB52111F85875FE3B2 B40A2A7B68AD4B5CDDA9F298B5A30E77F2483AEC14F88B4C860F23E82A3844DB 73C006304CAC8218FD96C7D8730B43B09DC498418F7E5F1B25E4E7B083539AF6 3A8441761400B1389598C8F7976127CA2800A9E4B58A2C0B77A4C1F70B79F9CF 41E5C3B4AC50E3CA6DC3322CD05AD4344D93F2F426EE5BC90F315D7F2ACEEE5F 610A37E468F2A064D75241C74421E7070E40A42F002E791CE653E3F60D506160 267AEE36E6BEC522BE3F32C18C84D96FE2FAA50EC304577D96D60D64108CC1FE FB142380C94360A90DEEDEDF01318B436F3BE4BF63615C9064E31AFA8F366C69 72D8677DC8B19D090662E6CEFB2B3D435262BCDF818AF984CA3B505667372421 F5 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 cleartomark %%EndFont %%BeginFont: CMEX10 %!PS-AdobeFont-1.1: CMEX10 1.00 %%CreationDate: 1992 Jul 23 21:22:48 % Copyright (C) 1997 American Mathematical Society. All Rights Reserved. 11 dict begin /FontInfo 7 dict dup begin /version (1.00) readonly def /Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def /FullName (CMEX10) readonly def /FamilyName (Computer Modern) readonly def /Weight (Medium) readonly def /ItalicAngle 0 def /isFixedPitch false def end readonly def /FontName /CMEX10 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 0 /parenleftbig put dup 1 /parenrightbig put dup 2 /bracketleftbig put dup 3 /bracketrightbig put dup 8 /braceleftbig put dup 9 /bracerightbig 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 28 /angbracketleftbigg put dup 29 /angbracketrightbigg put dup 56 /bracelefttp put dup 58 /braceleftbt put dup 60 /braceleftmid put dup 62 /braceex put dup 80 /summationtext put dup 82 /integraltext put dup 88 /summationdisplay put dup 90 /integraldisplay put dup 91 /uniondisplay put dup 110 /braceleftBig put dup 111 /bracerightBig 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: 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 3 /asteriskmath put dup 14 /openbullet put dup 17 /equivalence put dup 20 /lessequal put dup 21 /greaterequal put dup 26 /propersubset put dup 33 /arrowright put dup 41 /arrowdblright put dup 49 /infinity put dup 50 /element put dup 54 /negationslash put dup 55 /mapsto put dup 56 /universal put dup 69 /E put dup 70 /F put dup 75 /K put dup 77 /M put dup 91 /union put dup 92 /intersection put dup 102 /braceleft put dup 103 /braceright put dup 104 /angbracketleft put dup 105 /angbracketright put dup 106 /bar put dup 107 /bardbl put dup 110 /backslash put dup 112 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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 12 /beta put dup 13 /gamma put dup 14 /delta put dup 17 /eta put dup 21 /lambda put dup 23 /nu put dup 24 /xi put dup 26 /rho put dup 28 /tau put dup 31 /chi put dup 39 /phi1 put dup 59 /comma put dup 60 /less put dup 61 /slash put dup 62 /greater put dup 72 /H put dup 75 /K put dup 76 /L put dup 78 /N put dup 82 /R put dup 84 /T put dup 85 /U put dup 86 /V put dup 90 /Z put dup 99 /c put dup 105 /i put dup 106 /j put dup 109 /m put dup 110 /n put dup 112 /p put dup 113 /q put dup 114 /r put dup 120 /x put dup 121 /y put readonly def /FontBBox{0 -250 1171 750}readonly def /UniqueID 5087382 def currentdict end currentfile 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0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 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 12 /beta put dup 13 /gamma put dup 14 /delta put dup 15 /epsilon1 put dup 16 /zeta put dup 17 /eta put dup 21 /lambda put dup 22 /mu put dup 23 /nu put dup 24 /xi put dup 25 /pi put dup 26 /rho put dup 27 /sigma put dup 28 /tau put dup 31 /chi put dup 32 /psi put dup 34 /epsilon put dup 39 /phi1 put dup 42 /arrowrighttophalf put dup 58 /period put dup 59 /comma put dup 60 /less put dup 61 /slash put dup 62 /greater put dup 66 /B put dup 67 /C put dup 68 /D put dup 72 /H put dup 73 /I put dup 75 /K put dup 76 /L put dup 79 /O put dup 82 /R put dup 83 /S put dup 84 /T put dup 85 /U put dup 86 /V put dup 88 /X put dup 90 /Z put dup 100 /d put dup 101 /e put dup 102 /f put dup 103 /g put dup 105 /i put dup 106 /j 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 116 /t put dup 117 /u put dup 120 /x put dup 121 /y put readonly def /FontBBox{-32 -250 1048 750}readonly def /UniqueID 5087385 def currentdict end currentfile eexec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0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 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 40 /parenleft put dup 41 /parenright put dup 44 /comma put dup 45 /hyphen put dup 46 /period put dup 49 /one put dup 50 /two put dup 51 /three put dup 52 /four put dup 58 /colon put dup 65 /A put dup 67 /C put dup 70 /F put dup 72 /H put dup 73 /I put dup 76 /L put dup 78 /N put dup 80 /P put dup 84 /T 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: CMR10 %!PS-AdobeFont-1.1: CMR10 1.00B %%CreationDate: 1992 Feb 19 19:54:52 % Copyright (C) 1997 American Mathematical Society. All Rights Reserved. 11 dict begin /FontInfo 7 dict dup begin /version (1.00B) readonly def /Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def /FullName (CMR10) readonly def /FamilyName (Computer Modern) readonly def /Weight (Medium) readonly def /ItalicAngle 0 def /isFixedPitch false def end readonly def /FontName /CMR10 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 1 /Delta put dup 5 /Pi put dup 11 /ff put dup 12 /fi put dup 13 /fl put dup 14 /ffi put dup 22 /macron put dup 39 /quoteright put dup 40 /parenleft put dup 41 /parenright put dup 43 /plus put dup 44 /comma put dup 45 /hyphen put dup 46 /period put dup 48 /zero put dup 49 /one put dup 50 /two put dup 51 /three put dup 52 /four put dup 53 /five put dup 54 /six put dup 55 /seven put dup 56 /eight put dup 57 /nine put dup 58 /colon put dup 61 /equal put dup 65 /A put dup 66 /B put dup 67 /C put dup 69 /E put dup 70 /F put dup 71 /G put dup 72 /H put dup 73 /I put dup 76 /L put dup 77 /M put dup 78 /N put dup 79 /O put dup 80 /P put dup 82 /R put dup 83 /S put dup 84 /T put dup 85 /U put dup 86 /V put dup 87 /W put dup 91 /bracketleft put dup 93 /bracketright put dup 97 /a put dup 98 /b put dup 99 /c put dup 100 /d put dup 101 /e put dup 102 /f put dup 103 /g put dup 104 /h put dup 105 /i put dup 106 /j put dup 107 /k put dup 108 /l put dup 109 /m put dup 110 /n put dup 111 /o put dup 112 /p put dup 113 /q put dup 114 /r put dup 115 /s put dup 116 /t put dup 117 /u put dup 118 /v put dup 119 /w put dup 120 /x put dup 121 /y put dup 122 /z put dup 127 /dieresis put readonly def /FontBBox{-251 -250 1009 969}readonly def /UniqueID 5000793 def currentdict end currentfile eexec D9D66F633B846A97B686A97E45A3D0AA052A014267B7904EB3C0D3BD0B83D891 016CA6CA4B712ADEB258FAAB9A130EE605E61F77FC1B738ABC7C51CD46EF8171 9098D5FEE67660E69A7AB91B58F29A4D79E57022F783EB0FBBB6D4F4EC35014F D2DECBA99459A4C59DF0C6EBA150284454E707DC2100C15B76B4C19B84363758 469A6C558785B226332152109871A9883487DD7710949204DDCF837E6A8708B8 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74756695D483AF1EE9BE95F70A23B984FF6BBED54D3BF33B9F89 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 cleartomark %%EndFont %%BeginFont: CMR7 %!PS-AdobeFont-1.1: CMR7 1.0 %%CreationDate: 1991 Aug 20 16:39:21 % Copyright (C) 1997 American Mathematical Society. All Rights Reserved. 11 dict begin /FontInfo 7 dict dup begin /version (1.0) readonly def /Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def /FullName (CMR7) readonly def /FamilyName (Computer Modern) readonly def /Weight (Medium) readonly def /ItalicAngle 0 def /isFixedPitch false def end readonly def /FontName /CMR7 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 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 70 /F put dup 72 /H put dup 79 /O put dup 83 /S put dup 84 /T put dup 97 /a put dup 98 /b put dup 99 /c put dup 100 /d put dup 101 /e put dup 102 /f put dup 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 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{-27 -250 1122 750}readonly def /UniqueID 5000790 def currentdict end currentfile eexec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All Rights Reserved) readonly def /FullName (CMSSI8) readonly def /FamilyName (Computer Modern) readonly def /Weight (Medium) readonly def /ItalicAngle -12 def /isFixedPitch false def end readonly def /FontName /CMSSI8 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 46 /period put dup 64 /at put dup 76 /L put dup 77 /M 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 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 114 /r put dup 115 /s put dup 116 /t put dup 117 /u put dup 119 /w put readonly def /FontBBox{-100 -250 1135 761}readonly def /UniqueID 5000808 def currentdict end currentfile eexec D9D66F633B846A97B686A97E45A3D0AA0529731C99A784CCBE85B4993B2EEBDE 3B12D472B7CF54651EF21185116A69AB1096ED4BAD2F646635E019B6417CC77B 532F85D811C70D1429A19A5307EF63EB5C5E02C89FC6C20F6D9D89E7D91FE470 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All Rights Reserved. 11 dict begin /FontInfo 7 dict dup begin /version (1.0) readonly def /Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def /FullName (CMTI8) readonly def /FamilyName (Computer Modern) readonly def /Weight (Medium) readonly def /ItalicAngle -14.04 def /isFixedPitch false def end readonly def /FontName /CMTI8 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 16 /dotlessi put dup 19 /acute put dup 38 /ampersand 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 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 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 82 /R put dup 83 /S put dup 84 /T put dup 85 /U put dup 97 /a put dup 98 /b put dup 99 /c put dup 100 /d put dup 101 /e put dup 103 /g put dup 104 /h put dup 105 /i put dup 107 /k put dup 108 /l put dup 109 /m put dup 110 /n put dup 111 /o put dup 112 /p put dup 113 /q put dup 114 /r put dup 115 /s put dup 116 /t put dup 117 /u put dup 118 /v put dup 119 /w put dup 120 /x put dup 121 /y put readonly def /FontBBox{-35 -250 1190 750}readonly def /UniqueID 5000826 def currentdict end currentfile eexec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0000000000000000000000000000000000000000000000000000000000000000 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 12 /fi 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 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 74 /J put dup 76 /L put dup 77 /M put dup 80 /P put dup 81 /Q put dup 83 /S put dup 84 /T put dup 86 /V put dup 97 /a put dup 98 /b put dup 99 /c put dup 100 /d put dup 101 /e put dup 102 /f put dup 103 /g put dup 104 /h put dup 105 /i put dup 106 /j put dup 107 /k put dup 108 /l put dup 109 /m put dup 110 /n put dup 111 /o put dup 112 /p put dup 113 /q put dup 114 /r put dup 115 /s put dup 116 /t put dup 117 /u put dup 118 /v put dup 119 /w put dup 120 /x put dup 121 /y put dup 122 /z put dup 127 /dieresis put readonly def /FontBBox{-36 -250 1070 750}readonly def /UniqueID 5000791 def currentdict end currentfile eexec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cleartomark %%EndFont %%BeginFont: CMBX10 %!PS-AdobeFont-1.1: CMBX10 1.00B %%CreationDate: 1992 Feb 19 19:54:06 % Copyright (C) 1997 American Mathematical Society. All Rights Reserved. 11 dict begin /FontInfo 7 dict dup begin /version (1.00B) readonly def /Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def /FullName (CMBX10) readonly def /FamilyName (Computer Modern) readonly def /Weight (Bold) readonly def /ItalicAngle 0 def /isFixedPitch false def end readonly def /FontName /CMBX10 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 39 /quoteright put dup 40 /parenleft put dup 41 /parenright put dup 43 /plus put dup 45 /hyphen put dup 46 /period put dup 49 /one put dup 50 /two put dup 51 /three put dup 52 /four put dup 53 /five put dup 54 /six put dup 55 /seven put dup 56 /eight put dup 65 /A put dup 66 /B put dup 67 /C 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 82 /R put dup 83 /S put dup 84 /T put dup 97 /a put dup 98 /b put dup 99 /c put dup 100 /d put dup 101 /e put dup 102 /f put dup 103 /g put dup 104 /h put dup 105 /i put dup 107 /k 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55387786 1000 600 600 (DFL.dvi) @start /Fa 204[44 51[{}1 74.7198 /CMBXTI10 rf /Fb 173[54 82[{}1 74.7198 /MSBM10 rf /Fc 128[39 4[31 37 35 51 35 41 25 31 32 35 39 39 43 63 20 35 24 24 39 35 24 35 39 35 35 39 3[24 39 24 4[57 1[55 43 1[59 52 59 57 69 48 59 40 30 57 59 50 52 58 55 54 57 5[24 24 39 2[39 1[39 39 39 39 39 1[24 27 24 2[31 31 24 4[39 20[45 43 47 11[{}69 74.7198 /CMTI9 rf /Fd 133[38 46 1[62 46 46 44 34 45 2[47 46 56 38 47 32 23 46 48 40 42 47 44 43 46 7[61 1[83 61 1[59 46 60 1[55 63 1[74 51 63 42 30 61 64 53 55 62 59 58 61 18[24 28 24 24[41 19[{}48 74.7198 /CMCSC10 rf /Fe 165[50 77[43 12[{}2 58.1154 /CMMIB7 rf /Ff 211[95 22[74 21[{}2 83.022 /CMBSY10 rf /Fg 142[45 7[34 14[64 16[42 73[{}4 83.022 /CMMIB10 rf /Fh 175[70 80[{}1 58.1154 /TeX-cmex7 rf /Fi 146[54 109[{}1 49.8132 /CMMI6 rf /Fj 232[35 10[40 12[{}2 66.4176 /CMMI8 rf /Fk 199[43 6[77 27[60 60 20[{}4 74.7198 /CMSY9 rf /Fl 142[34 3[68 24[45 22[38 60 60[{}5 74.7198 /CMMI9 rf /Fm 128[38 3[38 34 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 47 58 58 1[58 58 55 43 57 1[52 60 58 70 48 1[39 28 58 60 50 52 59 55 54 58 3[60 3[38 38 38 38 38 38 38 38 38 38 1[21 1[21 2[30 30 4[64 14[38 38 38 6[45 11[{}73 74.7198 /CMR9 rf /Fn 183[49 72[{}1 58.1154 /EUFM7 rf /Fo 172[69 10[60 72[{}2 83.022 /EUFM10 rf /Fp 207[18 26[45 17[31 2[45{}4 41.511 /CMSY5 rf /Fq 142[27 2[37 51 3[22 22[43 64[31 3[31 13[{}7 41.511 /CMMI5 rf /Fr 201[28 2[28 28 28 5[43 43[{}5 41.511 /CMR5 rf /Fs 173[42 3[42 78[{}2 58.1154 /MSBM7 rf /Ft 132[49 41 47 3[52 32 40 42 1[49 49 54 78 25 44 1[30 49 44 33 44 49 44 44 49 12[66 3[65 71 1[89 8[73 69 1[72 12[49 49 49 49 2[30 4[39 39 27[56 12[{}37 83.022 /CMBXTI10 rf /Fu 149[20 27 27 26[78 1[51 24[45 66 19 14[66 11[52 52 6[66 9[34 52 1[52{}15 58.1154 /CMSY7 rf /Fv 144[55 55 18[92 46 1[120 5[39 1[88 17[74 1[74 1[74 1[74 26[62 62 8[61 61 50 50 2[46 28 2[48 48 4[35 35 38 38{}25 83.022 /CMEX10 rf /Fw 173[60 82[{}1 83.022 /MSBM10 rf /Fx 141[69 1[69 1[42 2[42 23 32 32 42 42 9[55 55 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FB(\()p Fz(q)s FB(\))24 b Fz(<)e(I)1065 5243 y Fy(\014)1058 5308 y(Z)1112 5283 y FB(\()p Fz(q)1184 5253 y Fu(0)1208 5283 y FB(\))30 b FA(for)g(al)t(l)h Fz(q)17 b FA(,)30 b Fz(q)1670 5253 y Fu(0)1723 5283 y FA(such)g(that)g FB(0)22 b Fx(\024)h Fz(q)2274 5253 y Fu(0)2320 5283 y Fz(<)g(q)17 b FA(.)p eop end %%Page: 9 9 TeXDict begin 9 8 bop 2240 562 a FF(Hartr)l(e)l(e-F)-5 b(o)l(ck)26 b(mo)l(del)h(with)f(temp)l(er)l(atur)l(e)74 b FG(9)495 795 y FA(\(2\))43 b(A)n(ny)29 b(minimizer)i Fz(\015)j FA(of)d Fz(I)1438 755 y Fy(\014)1431 819 y(Z)1485 795 y FB(\()p Fz(q)s FB(\))f FA(satis\014es)g(the)g(self-c)l(onsistent) f(e)l(quation)948 992 y Fz(\015)f FB(=)23 b Fz(g)1150 925 y Fv(\000)1187 992 y FB(\()p Fz(H)1288 1004 y Fy(\015)1350 992 y Fx(\000)18 b Fz(\026)p FB(\))p Fz(=T)1618 925 y Fv(\001)1678 992 y Fz(;)98 b(H)1868 1004 y Fy(\015)1934 992 y FB(=)23 b Fx(\000)p FB(\001)18 b Fx(\000)2282 936 y Fz(Z)p 2267 973 94 4 v 2267 1049 a Fx(j)p Fz(x)p Fx(j)2389 992 y FB(+)g Fz(\032)2515 1004 y 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Fx(\003)1799 3736 y FB(1)p 1767 3774 107 4 v 1767 3850 a Fx(j)18 b(\001)h(j)1901 3793 y(\000)1994 3736 y Fz(\015)5 b FB(\()p Fz(x;)14 b(y)s FB(\))p 1994 3774 241 4 v 1995 3850 a Fx(j)p Fz(x)19 b Fx(\000)f Fz(y)s Fx(j)2267 3793 y(\025)23 b FB(0)884 b(\(2.10\))496 3992 y(in)28 b(the)g(sense)f(of)h(op)r(erators)d(on)i Fz(L)1583 3962 y FD(2)1620 3992 y FB(\()p Fw(R)1712 3962 y FD(3)1750 3992 y FB(\))14 b(.)28 b(In)f(fact,)h(w)n(e)f(notice)h (that)579 4096 y Fv(\034\022)702 4213 y Fz(\032)745 4228 y Fu(j)p Fy(')p Fu(ih)p Fy(')p Fu(j)948 4213 y Fx(\003)1051 4156 y FB(1)p 1018 4193 107 4 v 1018 4270 a Fx(j)19 b(\001)f(j)1153 4213 y(\000)1246 4156 y Fz(')p FB(\()p Fz(x)p FB(\))c Fz(')p FB(\()p Fz(y)s FB(\))p 1246 4193 343 4 v 1298 4270 a Fx(j)p Fz(x)19 b Fx(\000)f Fz(y)s Fx(j)1599 4096 y Fv(\023)1674 4213 y Fz( )s(;)c( )1825 4096 y Fv(\035)1557 4448 y FB(=)1645 4335 y Fv(Z)9 b(Z)1807 4392 y Fz(')p FB(\()p Fz(x)p FB(\))1972 4362 y FD(2)2025 4392 y Fz( )s FB(\()p Fz(y)s FB(\))2190 4362 y 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y Fy(q)1679 3673 y FB(:=)23 b Fx(f)p Fz(\015)k Fx(2)d(K)g(j)f FB(tr)14 b Fz(\015)28 b FB(=)22 b Fz(q)s Fx(g)496 3829 y FB(are)27 b(not)g(closed)g(for)g(the)h(w)n (eak-)p Fx(\003)e FB(top)r(ology)-7 b(.)621 3937 y(The)33 b(pro)r(of)g(of)h(Theorem)f(2.1)f(follo)n(ws)h(some)g(classical)f (ideas)h(whic)n(h)h(ha)n(v)n(e)e(b)r(een)i(in)n(tro-)496 4045 y(duced)28 b(in)g(v)-5 b(arious)26 b(pap)r(ers)1383 4015 y FD(22)p Fy(;)p FD(23)p Fy(;)p FD(3)p Fy(;)p FD(17)p Fy(;)p FD(18)1764 4045 y FB(.)496 4253 y FH(Step)32 b(1.)f(Prop)s (erties)g(of)h(the)f(energy)-8 b(.)496 4425 y(Lemma)23 b(3.1.)41 b FA(Assume)22 b(that)g Fz(\014)27 b FA(satis\014es)c Ft(\(A1\){\(A4\))h FA(with)f Fz(T)34 b FB(=)23 b(1)14 b FA(.)22 b(Then)i Fx(E)3040 4385 y Fy(\014)3033 4449 y(Z)3109 4425 y FA(is)f(we)l(akly-)p Fx(\003)496 4533 y FA(lower)31 b(semi-c)l(ontinuous)e(\(w)t(lsc-)p Fx(\003)p FA(\))h(on)f Fx(K)16 b FA(.)30 b(F)-6 b(or)30 b(every)g Fz(q)c Fx(\025)d FB(0)14 b FA(,)30 b(it)f(is)h(c)l(o)l(er)l(cive)h(on) 1415 4697 y Fx(f)p Fz(\015)c Fx(2)c(K)i(j)e FB(tr)13 b Fz(\015)28 b Fx(\024)23 b Fz(q)s Fx(g)f FB(=)2234 4618 y Fv([)2168 4797 y FD(0)p Fu(\024)p Fy(q)2285 4780 y Fp(0)2308 4797 y Fu(\024)p Fy(q)2406 4697 y Fx(K)2469 4709 y Fy(q)2501 4693 y Fp(0)2552 4697 y Fz(:)496 4984 y FH(Pro)s(of.)47 b FB(Consider)24 b(a)g(sequence)g Fx(f)p Fz(\015)1638 4996 y Fy(n)1683 4984 y Fx(g)1725 4996 y Fy(n)p Fu(2)p Fs(N)1881 4984 y FB(suc)n(h)g(that)h Fz(\015)2285 4996 y Fy(n)2354 4984 y Fz(*)e(\015)k Fx(2)d(K)15 b FB(.)25 b(F)-7 b(atou's)24 b(Lemma)g(giv)n(es)496 5092 y(tr)575 5024 y Fv(\000)613 5025 y Fx(p)p 682 5025 V 67 x(\000)p FB(\001)14 b Fz(\015)891 5025 y Fx(p)p 960 5025 V 67 x(\000)p FB(\001)1108 5024 y Fv(\001)1169 5092 y Fx(\024)22 b FB(lim)14 b(inf)1487 5104 y Fy(n)p Fu(!1)1678 5092 y FB(tr)1757 5024 y Fv(\000)1795 5025 y Fx(p)p 1864 5025 V 67 x(\000)p FB(\001)g Fz(\015)2055 5104 y Fy(n)2114 5025 y Fx(p)p 2183 5025 V 67 x(\000)p FB(\001)2330 5024 y Fv(\001)2368 5092 y Fz(:)28 b FB(As)g Fx(f)p Fz(\015)2627 5104 y Fy(n)2671 5092 y Fx(g)2713 5104 y Fy(n)p Fu(2)p Fs(N)2873 5092 y FB(is)f(b)r(ounded)h(in)g Fx(K)15 b FB(,)496 5200 y Fz(\015)539 5212 y Fy(n)584 5200 y FB(\()p Fz(x;)f(y)s FB(\))26 b(is)g(b)r(ounded)g(in)g Fz(H)1392 5170 y FD(1)1429 5200 y FB(\()p Fw(R)1521 5170 y FD(3)1572 5200 y Fx(\002)14 b Fw(R)1711 5170 y FD(3)1749 5200 y FB(\))25 b(and)1966 5152 y Fx(p)p 2035 5152 123 4 v 48 x Fz(\032)2078 5212 y Fy(\015)2113 5220 y Fq(n)2183 5200 y FB(is)h(b)r(ounded)g(in)f Fz(H)2772 5170 y FD(1)2809 5200 y FB(\()p Fw(R)2901 5170 y FD(3)2939 5200 y FB(\))14 b(.)26 b(Hence,)f(up)h(to)496 5308 y(a)g(subsequence,)g(w)n(e)f(can)h (assume)g(that)g Fz(\032)1833 5320 y Fy(\015)1868 5328 y Fq(n)1936 5308 y Fx(!)d Fz(\032)2085 5320 y Fy(\015)2154 5308 y FB(strongly)i(in)h Fz(L)2626 5268 y Fy(p)2626 5333 y FD(lo)r(c)2727 5308 y FB(,)g(1)d Fx(\024)f Fz(p)h(<)g FB(3)14 b(,)26 b(and)g(a.e.,)p eop end %%Page: 12 12 TeXDict begin 12 11 bop 401 562 a FG(12)73 b FF(J.)26 b(Dolb)l(e)l(ault,)h(P.)e(F)-5 b(elmer)26 b(&)f(M.)g(L)l(ewin)401 780 y Fz(\015)444 792 y Fy(n)489 780 y FB(\()p Fz(x;)14 b(y)s FB(\))24 b Fx(!)f Fz(\015)5 b FB(\()p Fz(x;)14 b(y)s FB(\))25 b(strongly)f(in)h Fz(L)1546 740 y Fy(q)1546 805 y FD(lo)r(c)1647 780 y FB(,)g(2)e Fx(\024)f Fz(q)k(<)d FB(12)p Fz(=)p FB(5)14 b(,)23 b(and)i(a.e.)g(Hence)g(\(2.3\))g(and)f(F) -7 b(atou's)401 888 y(Lemma)27 b(giv)n(e)498 998 y Fv(Z)9 b(Z)599 1186 y Fs(R)641 1170 y Fr(3)674 1186 y Fu(\002)p Fs(R)768 1170 y Fr(3)828 1055 y Fz(\032)871 1067 y Fy(\015)913 1055 y FB(\()p Fz(x)p FB(\))14 b Fz(\032)1081 1067 y Fy(\015)1125 1055 y FB(\()p Fz(y)s FB(\))k Fx(\000)g(j)p Fz(\015)5 b FB(\()p Fz(x;)14 b(y)s FB(\))p Fx(j)1620 1025 y FD(2)p 828 1092 831 4 v 1123 1168 a Fx(j)p Fz(x)19 b Fx(\000)f Fz(y)s Fx(j)1691 1111 y Fz(dx)c(dy)1362 1350 y Fx(\024)22 b FB(lim)14 b(inf)1478 1400 y Fy(n)p Fu(!1)1693 1233 y Fv(\022)1754 1237 y(Z)c(Z)1856 1426 y Fs(R)1898 1409 y Fr(3)1930 1426 y Fu(\002)p Fs(R)2024 1409 y Fr(3)2084 1294 y Fz(\032)2127 1306 y Fy(\015)2162 1314 y Fq(n)2207 1294 y FB(\()p Fz(x)p FB(\))k Fz(\032)2375 1306 y Fy(\015)2410 1314 y Fq(n)2456 1294 y FB(\()p Fz(y)s FB(\))k Fx(\000)g(j)p Fz(\015)2731 1306 y Fy(n)2776 1294 y FB(\()p Fz(x;)c(y)s FB(\))p Fx(j)2991 1264 y FD(2)p 2084 1331 946 4 v 2437 1407 a Fx(j)p Fz(x)19 b Fx(\000)f Fz(y)s Fx(j)3062 1350 y Fz(dx)c(dy)3253 1233 y Fv(\023)401 1549 y FB(and)1360 1707 y(tr)1439 1640 y Fv(\000)1477 1707 y Fz(\014)t FB(\()p Fz(\015)5 b FB(\))1640 1640 y Fv(\001)1702 1707 y Fx(\024)22 b FB(lim)14 b(inf)1818 1757 y Fy(n)p Fu(!1)2033 1707 y FB(tr)2112 1640 y Fv(\000)2150 1707 y Fz(\014)t FB(\()p Fz(\015)2276 1719 y Fy(n)2322 1707 y FB(\))2354 1640 y Fv(\001)2415 1707 y Fz(:)401 1881 y FB(Also)1250 2058 y(lim)1221 2108 y Fy(n)p Fu(!1)1408 1945 y Fv(Z)1454 2133 y Fs(R)1496 2117 y Fr(3)1556 2002 y Fz(\032)1599 2014 y Fy(\015)1634 2022 y Fq(n)1679 2002 y FB(\()p Fz(x)p FB(\))p 1556 2039 235 4 v 1627 2115 a Fx(j)p Fz(x)p Fx(j)1824 2058 y Fz(dx)24 b FB(=)2025 1945 y Fv(Z)2071 2133 y Fs(R)2113 2117 y Fr(3)2174 2002 y Fz(\032)2217 2014 y Fy(\015)2252 2022 y Fq(n)2296 2002 y FB(\()p Fz(x)p FB(\))p 2174 2039 V 2244 2115 a Fx(j)p Fz(x)p Fx(j)2441 2058 y Fz(dx)g(:)401 2274 y FB(All)k(this)g(sho)n(ws)e(that)i Fx(E)1168 2234 y Fy(\014)1161 2298 y(Z)1242 2274 y FB(is)g(wlsc-)p Fx(\003)e FB(on)h Fx(K)16 b FB(.)27 b(No)n(w)h(w)n(e)f(ha)n(v)n(e)1017 2477 y Fx(E)1068 2437 y Fy(\014)1061 2502 y(Z)1114 2477 y FB(\()p Fz(\015)5 b FB(\))25 b Fx(\025)1351 2421 y FB(1)p 1351 2458 42 4 v 1351 2534 a(2)1416 2477 y(tr)1495 2410 y Fv(\000)1533 2477 y FB(\()p Fx(\000)p FB(\001\))14 b Fz(\015)1793 2410 y Fv(\001)1849 2477 y FB(+)k(tr)2024 2360 y Fv(\022)q(\022)2147 2477 y Fx(\000)2222 2421 y FB(1)p 2222 2458 V 2222 2534 a(2)2286 2477 y(\001)h Fx(\000)2483 2421 y Fz(Z)p 2467 2458 94 4 v 2467 2534 a Fx(j)p Fz(x)p Fx(j)2571 2360 y Fv(\023)2659 2477 y Fz(\015)2707 2360 y Fv(\023)1251 2699 y Fx(\025)1351 2643 y FB(1)p 1351 2680 42 4 v 1351 2756 a(2)1416 2699 y(tr)1495 2632 y Fv(\000)1533 2699 y FB(\()p Fx(\000)p FB(\001\))14 b Fz(\015)1793 2632 y Fv(\001)1849 2699 y Fx(\000)32 b FB(2)14 b Fz(Z)2065 2665 y FD(2)2115 2699 y Fz(q)401 2895 y FB(whic)n(h)27 b(pro)n(v)n(es)f(that)i Fx(E)1126 2855 y Fy(\014)1119 2919 y(Z)1200 2895 y FB(is)f(co)r(erciv)n(e)g(as)f (stated.)p 3350 2853 49 4 v 3350 2895 4 42 v 3395 2895 V 3350 2898 49 4 v 401 3102 a FH(Lemma)j(3.2.)41 b FA(Consider)30 b(a)e(minimizing)i(se)l(quenc)l(e)d Fx(f)p Fz(\015)2202 3114 y Fy(n)2247 3102 y Fx(g)2289 3114 y Fy(n)p Fu(2)p Fs(N)2444 3102 y Fx(\032)22 b(K)30 b FA(for)f Fz(I)2798 3062 y Fy(\014)2791 3127 y(Z)2845 3102 y FB(\()p Fz(q)s FB(\))f FA(and)h(assume)401 3210 y(that)h Fz(\015)614 3222 y Fy(n)682 3210 y Fz(*)23 b(\015)28 b Fx(2)23 b(K)15 b FA(.)30 b(Then)h Fz(\015)1330 3222 y Fy(n)1398 3210 y Fx(!)23 b Fz(\015)34 b FA(for)d(the)f(str)l(ong)f(top)l(olo)l(gy)j (if)e(and)g(only)h(if)f FB(tr)14 b Fz(\015)28 b FB(=)22 b Fz(q)17 b FA(.)401 3418 y FH(Pro)s(of.)47 b FB(Assume)37 b(that)g Fz(\015)1256 3430 y Fy(n)1339 3418 y Fz(*)h(\015)j FB(and)c(tr)13 b Fz(\015)43 b FB(=)38 b Fz(q)17 b FB(.)36 b(Then)h(as)f Fx(E)2483 3378 y Fy(\014)2476 3442 y(Z)2566 3418 y FB(is)h(wlsc-)p Fx(\003)e FB(on)i Fx(K)15 b FB(,)37 b Fz(\015)k FB(is)36 b(a)401 3526 y(minimizer)19 b(for)f Fz(I)941 3486 y Fy(\014)934 3550 y(Z)988 3526 y FB(\()p Fz(q)s FB(\))c(.)19 b(Hence)g(lim)1501 3538 y Fy(n)p Fu(!1)1693 3526 y Fx(E)1744 3486 y Fy(\014)1737 3550 y(Z)1790 3526 y FB(\()p Fz(\015)1865 3538 y Fy(n)1910 3526 y FB(\))24 b(=)e Fx(E)2104 3486 y Fy(\014)2097 3550 y(Z)2151 3526 y FB(\()p Fz(\015)5 b FB(\))14 b(.)19 b(By)f(the)h(pro)r (of)f(of)h(Lemma)f(3.1,)g(w)n(e)401 3634 y(see)j(that)h(this)g(implies) g(in)g(particular)f(lim)1719 3646 y Fy(n)p Fu(!1)1910 3634 y FB(tr)1989 3567 y Fv(\000)p Fx(p)p 2096 3567 134 4 v 67 x(\000)p FB(\001)14 b Fz(\015)2287 3646 y Fy(n)2346 3567 y Fx(p)p 2415 3567 V 67 x(\000)p FB(\001)2563 3567 y Fv(\001)2624 3634 y FB(=)22 b(tr)2790 3567 y Fv(\000)p Fx(p)p 2897 3567 V 67 x(\000)p FB(\001)14 b Fz(\015)3106 3567 y Fx(p)p 3175 3567 V 67 x(\000)p FB(\001)3323 3567 y Fv(\001)3375 3634 y FB(.)401 3742 y(This)27 b(is)h(enough)960 3712 y FD(27)1058 3742 y FB(to)f(obtain)h(that)g Fz(\015)1641 3754 y Fy(n)1709 3742 y Fx(!)23 b Fz(\015)32 b FB(for)27 b(the)h(strong)f(top)r(ology)f(of)h Fo(H)14 b FB(.)p 3350 3700 49 4 v 3350 3742 4 42 v 3395 3742 V 3350 3745 49 4 v 401 3949 a FH(Step)32 b(2.)f(Binding)f(Inequalities.)401 4124 y(Lemma)25 b(3.3.)41 b FA(Assume)23 b(that)h Fz(\014)29 b FA(satis\014es)c Ft(\(A1\){\(A4\))g FA(with)g Fz(T)34 b FB(=)23 b(1)14 b FA(.)24 b(F)-6 b(or)24 b(every)h Fz(q)s FA(,)g Fz(q)3191 4094 y Fu(0)3239 4124 y FA(such)401 4232 y(that)30 b FB(0)22 b Fx(\024)h Fz(q)763 4202 y Fu(0)809 4232 y Fz(<)g(q)17 b FA(,)30 b(we)g(have)1615 4390 y Fz(I)1658 4350 y Fy(\014)1651 4414 y(Z)1705 4390 y FB(\()p Fz(q)s FB(\))23 b Fx(\024)g Fz(I)1963 4350 y Fy(\014)1956 4414 y(Z)2010 4390 y FB(\()p Fz(q)2082 4356 y Fu(0)2106 4390 y FB(\))g Fz(:)1043 b FB(\(3.1\))401 4548 y FA(If)29 b(e)l(quality)h(holds)g(with)g FB(0)22 b Fx(\024)h Fz(q)1373 4518 y Fu(0)1419 4548 y Fz(<)g(q)17 b FA(,)29 b(then)g(ther)l(e)g(exists)g(a)g(minimizing)h(se)l(quenc)l(e) f(for)g Fz(I)3246 4508 y Fy(\014)3239 4572 y(Z)3293 4548 y FB(\()p Fz(q)s FB(\))401 4656 y FA(which)i(is)f(not)g(pr)l(e)l(c)l (omp)l(act.)401 4863 y FH(Pro)s(of.)47 b FB(W)-7 b(e)22 b(consider)f(t)n(w)n(o)g(states)g Fz(\015)28 b Fx(2)23 b(K)1755 4875 y Fy(q)1787 4859 y Fp(0)1836 4863 y FB(and)f Fz(\015)2040 4833 y Fu(0)2086 4863 y Fx(2)h(K)2227 4875 y Fy(q)r Fu(\000)p Fy(q)2343 4859 y Fp(0)2393 4863 y FB(suc)n(h)e(that)h Fx(E)2799 4824 y Fy(\014)2792 4888 y(Z)2846 4863 y FB(\()p Fz(\015)5 b FB(\))23 b Fx(\024)f Fz(I)3111 4824 y Fy(\014)3104 4888 y(Z)3158 4863 y FB(\()p Fz(q)3230 4833 y Fu(0)3254 4863 y FB(\))7 b(+)g Fz(\017)401 4971 y FB(and)32 b Fx(E)618 4932 y Fy(\014)611 4994 y FD(0)663 4971 y FB(\()p Fz(\015)743 4941 y Fu(0)766 4971 y FB(\))e Fx(\024)g Fz(I)966 4932 y Fy(\014)959 4994 y FD(0)1011 4971 y FB(\()p Fz(q)25 b Fx(\000)20 b Fz(q)1230 4941 y Fu(0)1254 4971 y FB(\))h(+)g Fz(\017)14 b FB(.)32 b(By)f(densit)n(y)h(of)g(\014nite-rank)f(op)r(erators)f(in)i Fx(K)i FB(and)d(of)h Fz(C)3327 4941 y Fu(1)3321 4992 y Fy(c)401 5092 y FB(in)i Fz(L)561 5062 y FD(2)598 5092 y FB(\()p Fw(R)690 5062 y FD(3)727 5092 y FB(\))14 b(,)34 b(w)n(e)g(can)g(assume)f(that)h Fz(\015)k FB(=)1777 5029 y Fv(P)1864 5050 y Fy(K)1864 5117 y(j)s FD(=1)1997 5092 y Fz(n)2047 5104 y Fy(j)2096 5092 y Fx(j)p Fz(')2173 5104 y Fy(j)2208 5092 y Fx(ih)p Fz(')2326 5104 y Fy(j)2362 5092 y Fx(j)c FB(and)g Fz(\015)2635 5062 y Fu(0)2691 5092 y FB(=)2789 5029 y Fv(P)2877 5050 y Fy(K)2937 5025 y Fp(0)2877 5117 y Fy(j)s FD(=1)3010 5092 y Fz(n)3060 5062 y Fu(0)3060 5113 y Fy(j)3109 5092 y Fx(j)p Fz(')3186 5062 y Fu(0)3186 5113 y Fy(j)3221 5092 y Fx(ih)p Fz(')3339 5062 y Fu(0)3339 5113 y Fy(j)3375 5092 y Fx(j)401 5200 y FB(where)20 b(the)g Fz(')823 5212 y Fy(j)879 5200 y FB(and)g Fz(')1087 5170 y Fu(0)1087 5221 y Fy(j)1143 5200 y FB(are)f(smo)r(oth)h(functions)g(with)h(supp)r(ort)f(in)h(a)f (ball)g Fz(B)t FB(\(0)p Fz(;)14 b(R)q FB(\))22 b Fx(\032)h Fw(R)3142 5170 y FD(3)3193 5200 y FB(.)e(No)n(w)401 5308 y(w)n(e)29 b(in)n(tro)r(duce)g(the)h(translation)e(unitary)h(op)r (erator)f Fz(V)2143 5320 y Fy(\034)2214 5308 y FB(de\014ned)i(as)f(\()p Fz(V)2686 5320 y Fy(\034)2728 5308 y Fz(')p FB(\)\()p Fz(x)p FB(\))f(=)d Fz(')p FB(\()p Fz(x)c Fx(\000)e Fz(\034)9 b(e)p FB(\))p eop end %%Page: 13 13 TeXDict begin 13 12 bop 2205 562 a FF(Hartr)l(e)l(e-F)-5 b(o)l(ck)25 b(mo)l(del)i(with)f(temp)l(er)l(atur)l(e)75 b FG(13)496 782 y FB(where)26 b Fz(e)f FB(is)h(a)g(\014xed)g(v)n(ector) e(in)j Fw(R)1551 752 y FD(3)1602 782 y FB(.)f(W)-7 b(e)26 b(use)g(the)h(shorthand)e(notation)g Fz(\015)2845 752 y Fu(0)2840 803 y Fy(\034)2905 782 y FB(:=)d Fz(V)3082 752 y Fu(\003)3063 803 y Fy(\034)3134 782 y Fz(\015)3182 752 y Fu(0)3219 782 y Fz(V)3267 794 y Fy(\034)3323 782 y FB(.)k(F)-7 b(or)496 890 y Fz(\034)39 b FB(large)27 b(enough,)i(w)n(e)f(ha)n(v)n(e)g Fz(\015)19 b(\015)1512 860 y Fu(0)1507 911 y Fy(\034)1573 890 y FB(=)25 b Fz(\015)1711 860 y Fu(0)1706 911 y Fy(\034)1762 890 y Fz(\015)30 b FB(=)25 b(0)14 b(,)28 b(hence)h Fz(\015)24 b FB(+)19 b Fz(\015)2463 860 y Fu(0)2458 911 y Fy(\034)2525 890 y Fx(2)25 b(K)2668 902 y Fy(q)2734 890 y FB(and)k(tr)2976 823 y Fv(\000)3014 890 y Fz(\014)t FB(\()p Fz(\015)24 b FB(+)19 b Fz(\015)3296 860 y Fu(0)3291 911 y Fy(\034)3333 890 y FB(\))3365 823 y Fv(\001)3429 890 y FB(=)496 998 y(tr)575 931 y Fv(\000)613 998 y Fz(\014)t FB(\()p Fz(\015)5 b FB(\))776 931 y Fv(\001)833 998 y FB(+)18 b(tr)994 931 y Fv(\000)1032 998 y Fz(\014)t FB(\()p Fz(\015)1163 968 y Fu(0)1187 998 y FB(\))1219 931 y Fv(\001)1271 998 y FB(.)28 b(An)g(easy)f(calculation)f(sho)n(ws)h(that)1114 1170 y Fz(I)1157 1130 y Fy(\014)1150 1195 y(Z)1204 1170 y FB(\()p Fz(q)s FB(\))d Fx(\024)f(E)1471 1130 y Fy(\014)1464 1195 y(Z)1517 1170 y FB(\()p Fz(\015)g FB(+)18 b Fz(\015)1746 1136 y Fu(0)1741 1191 y Fy(\034)1783 1170 y FB(\))23 b(=)g Fx(E)1977 1130 y Fy(\014)1970 1195 y(Z)2023 1170 y FB(\()p Fz(\015)5 b FB(\))19 b(+)f Fx(E)2288 1130 y Fy(\014)2281 1192 y FD(0)2333 1170 y FB(\()p Fz(\015)2413 1136 y Fu(0)2436 1170 y FB(\))h(+)f Fz(O)r FB(\(1)p Fz(=\034)9 b FB(\))24 b Fz(:)496 1333 y FB(T)-7 b(aking)24 b(\014rst)g Fz(\034)33 b Fx(!)23 b(1)i FB(and)g(then)g Fz(\017)e Fx(!)g FB(0)h(yields)h(\(3.1\))f(using)g Fz(I)2478 1293 y Fy(\014)2471 1355 y FD(0)2523 1333 y FB(\()p Fz(q)16 b Fx(\000)d Fz(q)2726 1302 y Fu(0)2749 1333 y FB(\))23 b(=)g(0)h(b)n(y)h(Lemma)f(2.1.)621 1440 y(If)39 b(there)g(is)g(an)g (equalit)n(y)f(in)h(\(3.1\))g(for)g(some)f Fz(q)k FB(and)d(0)j Fx(\024)g Fz(q)2647 1410 y Fu(0)2712 1440 y Fz(<)g(q)17 b FB(,)39 b(a)g(non)g(compact)496 1548 y(minimizing)28 b(sequence)f(is)h(built)g(in)g(the)g(same)f(w)n(a)n(y)-7 b(.)p 3445 1507 49 4 v 3445 1548 4 42 v 3490 1548 V 3445 1551 49 4 v 621 1759 a(Notice)26 b(that)g(b)n(y)g(Assumption)g FH(\(A3\))h FB(and)f(Lemma)g(2.1,)f(Lemma)h(3.3)f(implies)i(that)f Fz(q)g Fx(7!)496 1867 y Fz(I)539 1827 y Fy(\014)532 1892 y(Z)586 1867 y FB(\()p Fz(q)s FB(\))i(is)g(nonp)r(ositiv)n(e,)f (nonincreasing)f(on)h([0)p Fz(;)14 b Fx(1)p FB(\))g(.)496 2071 y FH(Step)27 b(3.)f(Pro)s(of)g(that)i(\()p Fg(i)p FH(\))e Ff(,)h FH(\()p Fg(ii)p FH(\))16 b(.)41 b FB(The)23 b(implication)g(\()p Fz(i)p FB(\))g Fx(\))g FB(\()p Fz(ii)p FB(\))g(w)n(as)g(already)e(pro)n(v)n(ed)h(in)496 2179 y(Lemma)30 b(3.3.)f(W)-7 b(e)30 b(no)n(w)f(pro)n(v)n(e)f(that)i(\()p Fz(ii)p FB(\))c Fx(\))h FB(\()p Fz(i)p FB(\))14 b(.)30 b(T)-7 b(o)29 b(this)h(end,)g(w)n(e)g(consider)f(a)g(minimizing)496 2287 y(sequence)f Fx(f)p Fz(\015)926 2299 y Fy(n)970 2287 y Fx(g)1012 2299 y Fy(n)p Fu(2)p Fs(N)1168 2287 y Fx(\032)c(K)1320 2299 y Fy(q)1370 2287 y FB(.)29 b(By)f(Lemma)f(3.1,) h Fx(f)p Fz(\015)2092 2299 y Fy(n)2137 2287 y Fx(g)2179 2299 y Fy(n)p Fu(2)p Fs(N)2338 2287 y FB(is)g(b)r(ounded)h(in)f Fo(H)14 b FB(.)28 b(W)-7 b(e)29 b(can)f(there-)496 2395 y(fore)34 b(assume)g(that,)h(up)g(to)f(a)h(subsequence,)f Fz(\015)2025 2407 y Fy(n)2105 2395 y Fz(*)g(\015)19 b FB(.)35 b(W)-7 b(e)35 b(argue)e(b)n(y)h(con)n(tradiction)f(and)496 2503 y(assume)28 b(that)g Fz(\015)1007 2515 y Fy(n)1081 2503 y FB(do)r(es)g(not)g(strongly)f(con)n(v)n(erge)f(to)i Fz(\015)19 b FB(.)28 b(By)g(Lemma)g(3.2,)g(this)g(is)g(equiv)-5 b(alen)n(t)496 2611 y(to)33 b(tr)14 b(\()p Fz(\015)5 b FB(\))23 b Fx(6)p FB(=)f Fz(q)17 b FB(.)33 b(Notice)g(that)h(b)n(y)e (F)-7 b(atou's)33 b(Lemma,)g(tr)13 b Fz(\015)37 b Fx(\024)31 b FB(lim)14 b(inf)2693 2623 y Fy(n)p Fu(!1)2885 2611 y FB(tr)g Fz(\015)3007 2623 y Fy(n)3084 2611 y FB(=)31 b Fz(q)17 b FB(,)33 b(hence)496 2719 y(there)e(exists)g(a)g(0)e Fx(\024)g Fz(q)1223 2689 y Fu(0)1275 2719 y Fz(<)g(q)35 b FB(suc)n(h)c(that)g(tr)14 b Fz(\015)34 b FB(=)29 b Fz(q)2105 2689 y Fu(0)2142 2719 y FB(.)i(Mo)r(difying)h Fx(f)p Fz(\015)2682 2731 y Fy(n)2726 2719 y Fx(g)2768 2731 y Fy(n)p Fu(2)p Fs(N)2931 2719 y FB(if)g(necessary)-7 b(,)30 b(w)n(e)496 2827 y(can)d(assume)g(that)h Fx(f)p Fz(\015)1200 2839 y Fy(n)1245 2827 y Fx(g)1287 2839 y Fy(n)p Fu(2)p Fs(N)1446 2827 y FB(is)f(of)h(\014nite)g(rank)f(and)g (that)h(\()p Fx(\000)p FB(\001\))14 b Fz(\015)2624 2839 y Fy(n)2692 2827 y Fx(2)24 b Fo(S)2840 2839 y FD(1)2904 2827 y FB(for)k(all)f Fz(n)14 b FB(.)621 2935 y(No)n(w)33 b(w)n(e)i(follo)n(w)e(a)h(truncation)g(metho)r(d)1990 2905 y FD(17)p Fy(;)p FD(18)2146 2935 y FB(.)h(Let)f(us)h(c)n(ho)r(ose) e(t)n(w)n(o)g Fz(C)2971 2905 y Fu(1)3076 2935 y FB(functions)i Fz(\037)496 3043 y FB(and)29 b Fz(\030)k FB(with)d(v)-5 b(alues)28 b(in)i([0)p Fz(;)14 b FB(1])28 b(suc)n(h)h(that)g Fz(\037)1883 3013 y FD(2)1939 3043 y FB(+)19 b Fz(\030)2063 3013 y FD(2)2126 3043 y FB(=)25 b(1)14 b(,)29 b Fz(\037)g FB(has)f(its)i(supp)r(ort)e(in)i Fz(B)t FB(\(0)p Fz(;)14 b FB(2\))28 b(and)496 3151 y Fz(\037)d Fx(\021)h FB(1)i(on)h Fz(B)t FB(\(0)p Fz(;)14 b FB(1\))g(.)29 b(W)-7 b(e)29 b(denote)g Fz(\037)1634 3163 y Fy(R)1688 3151 y FB(\()p Fz(x)p FB(\))e(:=)e Fz(\037)p FB(\()p Fz(x=R)q FB(\))k(and)g Fz(\030)2436 3163 y Fy(R)2491 3151 y FB(\()p Fz(x)p FB(\))d(:=)f Fz(\030)t FB(\()p Fz(x=R)q FB(\))14 b(.)30 b(By)f(the)g(IMS)496 3259 y(lo)r(calization)e(form)n(ula,)f(w)n(e)h(ha)n(v)n(e)1023 3421 y Fx(\000)p FB(\001)c(=)f Fz(\037)1319 3433 y Fy(R)1387 3421 y FB(\()p Fx(\000)p FB(\001\))14 b Fz(\037)1651 3433 y Fy(R)1724 3421 y FB(+)19 b Fz(\030)1844 3433 y Fy(R)1912 3421 y FB(\()p Fx(\000)p FB(\001\))14 b Fz(\030)2160 3433 y Fy(R)2234 3421 y Fx(\000)k(jr)p Fz(\037)2461 3433 y Fy(R)2515 3421 y Fx(j)2538 3387 y FD(2)2594 3421 y Fx(\000)g(jr)p Fz(\030)2805 3433 y Fy(R)2860 3421 y Fx(j)2883 3387 y FD(2)2943 3421 y Fz(;)496 3583 y FB(from)27 b(whic)n(h)h(w)n(e)f (deduce)h(that)838 3759 y(tr)916 3692 y Fv(\000)954 3759 y FB(\()p Fx(\000)p FB(\001\))14 b Fz(\015)1209 3771 y Fy(n)1255 3692 y Fv(\001)1316 3759 y Fx(\025)22 b FB(tr)1482 3692 y Fv(\000)1520 3759 y FB(\()p Fx(\000)p FB(\001\))14 b Fz(\037)1784 3771 y Fy(R)1853 3759 y Fz(\015)1896 3771 y Fy(n)1955 3759 y Fz(\037)2007 3771 y Fy(R)2061 3692 y Fv(\001)2118 3759 y FB(+)k(tr)2279 3692 y Fv(\000)2317 3759 y FB(\()p Fx(\000)p FB(\001\))c Fz(\030)2565 3771 y Fy(R)2634 3759 y Fz(\015)2677 3771 y Fy(n)2736 3759 y Fz(\030)2772 3771 y Fy(R)2827 3692 y Fv(\001)2883 3759 y Fx(\000)2976 3703 y Fz(C)20 b(q)p 2976 3740 120 4 v 2985 3816 a(R)3049 3792 y FD(2)3128 3759 y Fz(:)496 3936 y FB(As)28 b Fz(\032)662 3948 y Fy(\015)697 3956 y Fq(n)764 3936 y FB(=)23 b Fz(\032)895 3948 y Fy(\037)936 3956 y Fq(R)983 3948 y Fy(\015)1018 3956 y Fq(n)1059 3948 y Fy(\037)1100 3956 y Fq(R)1170 3936 y FB(+)18 b Fz(\032)1296 3948 y Fy(\030)1326 3956 y Fq(R)1373 3948 y Fy(\015)1408 3956 y Fq(n)1449 3948 y Fy(\030)1479 3956 y Fq(R)1544 3936 y FB(,)28 b(w)n(e)f(ha)n(v)n(e)930 4098 y Fz(D)r FB(\()p Fz(\032)1076 4110 y Fy(\015)1111 4118 y Fq(n)1156 4098 y Fz(;)14 b(\032)1236 4110 y Fy(\015)1271 4118 y Fq(n)1316 4098 y FB(\))23 b Fx(\025)g Fz(D)r FB(\()p Fz(\032)1605 4110 y Fy(\037)1646 4118 y Fq(R)1694 4110 y Fy(\015)1729 4118 y Fq(n)1769 4110 y Fy(\037)1810 4118 y Fq(R)1862 4098 y Fz(;)14 b(\032)1942 4110 y Fy(\037)1983 4118 y Fq(R)2030 4110 y Fy(\015)2065 4118 y Fq(n)2106 4110 y Fy(\037)2147 4118 y Fq(R)2198 4098 y FB(\))19 b(+)f Fz(D)r FB(\()p Fz(\032)2478 4110 y Fy(\030)2508 4118 y Fq(R)2556 4110 y Fy(\015)2591 4118 y Fq(n)2631 4110 y Fy(\030)2661 4118 y Fq(R)2713 4098 y Fz(;)c(\032)2793 4110 y Fy(\030)2823 4118 y Fq(R)2870 4110 y Fy(\015)2905 4118 y Fq(n)2945 4110 y Fy(\030)2975 4118 y Fq(R)3026 4098 y FB(\))496 4261 y(where)27 b(w)n(e)g(ha)n(v)n(e)g(used)g(that)752 4447 y Fz(D)r FB(\()p Fz(\032)898 4459 y Fy(\037)939 4467 y Fq(R)987 4459 y Fy(\015)1022 4467 y Fq(n)1062 4459 y Fy(\037)1103 4467 y Fq(R)1155 4447 y Fz(;)14 b(\032)1235 4459 y Fy(\030)1265 4467 y Fq(R)1312 4459 y Fy(\015)1347 4467 y Fq(n)1387 4459 y Fy(\030)1417 4467 y Fq(R)1469 4447 y FB(\))23 b(=)1612 4334 y Fv(Z)9 b(Z)1713 4523 y Fs(R)1755 4506 y Fr(6)1816 4391 y Fz(\032)1859 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5144 y FD(2)2855 5174 y Fz(\037)2907 5186 y FD(3)p Fy(R)2994 5174 y FB(\()p Fz(y)s FB(\))3102 5144 y FD(2)p 2207 5211 933 4 v 2554 5287 a Fx(j)p Fz(x)19 b Fx(\000)f Fz(y)s Fx(j)3173 5230 y Fz(dx)c(dy)26 b(:)p eop end %%Page: 14 14 TeXDict begin 14 13 bop 401 562 a FG(14)73 b FF(J.)26 b(Dolb)l(e)l(ault,)h(P.)e(F)-5 b(elmer)26 b(&)f(M.)g(L)l(ewin)401 773 y FB(W)-7 b(e)28 b(ma)n(y)f(also)f(observ)n(e)g(that)1095 844 y Fv(Z)9 b(Z)1196 1033 y Fs(R)1238 1016 y Fr(6)1288 957 y Fx(j)p Fz(\015)1354 969 y Fy(n)1400 957 y FB(\()p Fz(x;)14 b(y)s FB(\))p Fx(j)1615 923 y FD(2)1676 957 y Fz(dx)g(dy)26 b FB(=)d(tr)13 b(\()p Fz(\015)2136 923 y FD(2)2174 957 y FB(\))23 b Fx(\024)f FB(tr)14 b(\()p Fz(\015)5 b FB(\))23 b(=)g Fz(q)j(:)401 1146 y FB(The)i(last)f (ingredien)n(t)g(is)g(the)401 1301 y FH(Lemma)36 b(3.4)f(\(Bro)m (wn-Kosaki's)h(inequalit)m(y)2077 1271 y FD(8)2151 1301 y FH(\).)47 b FA(Assume)33 b(that)g Fz(\014)38 b FA(satis\014es)33 b Ft(\(A1\){)401 1409 y(\(A3\))p FA(.)h(L)l(et)e Fz(\015)i Fx(2)29 b(K)34 b FA(and)g(c)l(onsider)g(a)f(self-adjoint)i(op)l(er)l (ator)f Fz(X)h FB(:)29 b Fz(L)2611 1379 y FD(2)2648 1409 y FB(\()p Fw(R)2740 1379 y FD(3)2777 1409 y FB(\))g Fx(!)g Fz(L)3007 1379 y FD(2)3044 1409 y FB(\()p Fw(R)3136 1379 y FD(3)3174 1409 y FB(\))k FA(such)401 1517 y(that)d Fz(X)647 1487 y FD(2)706 1517 y Fx(\024)23 b FB(1)14 b FA(.)29 b(Then)1324 1672 y FB(tr)1403 1605 y Fv(\000)1441 1672 y Fz(\014)t FB(\()p Fz(X)21 b(\015)d(X)7 b FB(\))1783 1605 y Fv(\001)1844 1672 y Fx(\024)23 b FB(tr)2010 1605 y Fv(\000)2048 1672 y Fz(X)e(\014)t FB(\()p Fz(\015)5 b FB(\))14 b Fz(X)2391 1605 y Fv(\001)2451 1672 y Fz(:)753 b FB(\(3.2\))525 1827 y(Using)29 b(\(3.2\),)e(w)n(e)h(obtain)1068 1982 y(tr)1147 1915 y Fv(\000)1185 1982 y Fz(\014)t FB(\()p Fz(\037)1320 1994 y Fy(R)1389 1982 y Fz(\015)18 b(\037)1502 1994 y Fy(R)1556 1982 y FB(\))1588 1915 y Fv(\001)1645 1982 y FB(+)g(tr)1807 1915 y Fv(\000)1845 1982 y Fz(\014)t FB(\()p Fz(\030)1964 1994 y Fy(R)2033 1982 y Fz(\015)h(\030)2131 1994 y Fy(R)2185 1982 y FB(\))2217 1915 y Fv(\001)2279 1982 y Fx(\024)j FB(tr)2445 1915 y Fv(\000)2483 1982 y Fz(\014)t FB(\()p Fz(\015)5 b FB(\))2646 1915 y Fv(\001)2708 1982 y Fz(:)401 2137 y FB(Hence)28 b(w)n(e)f(obtain)484 2316 y Fx(E)535 2276 y Fy(\014)528 2341 y(Z)581 2316 y FB(\()p Fz(\015)656 2328 y Fy(n)701 2316 y FB(\))d Fx(\025)e(E)895 2276 y Fy(\014)888 2341 y(Z)942 2316 y FB(\()p Fz(\037)1026 2328 y Fy(R)1094 2316 y Fz(\015)1137 2328 y Fy(n)1196 2316 y Fz(\037)1248 2328 y Fy(R)1303 2316 y FB(\))c(+)g Fx(E)1487 2276 y Fy(\014)1480 2338 y FD(0)1532 2316 y FB(\()p Fz(\030)1600 2328 y Fy(R)1669 2316 y Fz(\015)1712 2328 y Fy(n)1771 2316 y Fz(\030)1807 2328 y Fy(R)1862 2316 y FB(\))h Fx(\000)2006 2260 y Fz(C)h(q)p 2006 2297 120 4 v 2034 2373 a(R)2153 2316 y Fx(\000)2236 2203 y Fv(Z)10 b(Z)2338 2359 y Fy(R)p Fu(\024j)p Fy(x)p Fu(j\024)p FD(2)p Fy(R)2339 2425 y(R)p Fu(\024j)p Fy(y)r Fu(j\024)p FD(3)p Fy(R)2680 2260 y Fx(j)p Fz(\015)2746 2272 y Fy(n)2792 2260 y FB(\()p Fz(x;)k(y)s 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FB(0)i(whic)n(h)h(is)g(equiv)-5 b(alen)n(t)30 b(to)h(Hardy's)f(inequalit)n(y)-7 b(,)30 b(w)n(e)h(obtain)496 5308 y(tr)575 5240 y Fv(\000)613 5308 y Fx(j)p Fz(x)p Fx(j)14 b FB(\()p Fx(\000)p FB(\001\))g Fz(\015)980 5240 y Fv(\001)1041 5308 y Fz(>)23 b FB(0)14 b(.)27 b(Inserting)g(in)h (\(3.4\))o(,)g(this)g(yields)f Fz(q)f(<)d FB(2)14 b Fz(Z)23 b FB(+)18 b(1)c(.)p eop end %%Page: 16 16 TeXDict begin 16 15 bop 401 562 a FG(16)73 b FF(J.)26 b(Dolb)l(e)l(ault,)h(P.)e(F)-5 b(elmer)26 b(&)f(M.)g(L)l(ewin)401 796 y FH(Step)c(6.)g(Existence)g(for)h Fg(I)1310 755 y Fe(\014)1304 820 y(Z)1378 796 y FH(.)41 b FB(By)19 b(Lemma)f(2.1)g(and)g(Lemma)h(3.3,)f(w)n(e)g(ha)n(v)n(e)f(that)i Fz(q)26 b Fx(7!)d Fz(I)3246 756 y Fy(\014)3239 820 y(Z)3293 796 y FB(\()p Fz(q)s FB(\))401 904 y(is)g(non-increasing.)f(Condition)i (\()p Fz(ii)p FB(\))f(can)g(b)r(e)h(written)g Fz(I)2165 864 y Fy(\014)2158 928 y(Z)2212 904 y FB(\()p Fz(q)s FB(\))g Fz(<)f(I)2471 864 y Fy(\014)2464 928 y(Z)2518 904 y FB(\()p Fz(q)2590 874 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Fy(q)r Fu(!)p FD(0)2290 2646 y Fr(+)2355 2626 y Fz(I)2398 2586 y Fy(\014)2391 2650 y(Z)2445 2626 y FB(\()p Fz(q)s FB(\))24 b(=)f(0)f(=)h Fz(I)2856 2586 y Fy(\014)2849 2650 y(Z)2903 2626 y FB(\(0\))14 b FA(.)401 2832 y FH(Pro)s(of.)47 b FB(By)30 b(Lemma)f(3.3,)g Fz(I)1340 2792 y Fy(\014)1333 2857 y(Z)1387 2832 y FB(\()p Fz(q)s FB(\))i(is)f(nonincreasing,)e(so)h(it)i(is)f(enough)f(to)h(pro)n (v)n(e)e(the)i(result)401 2940 y(for)24 b Fz(q)i(>)d FB(0)14 b(,)25 b(small.)f(Let)h(us)g(construct)g(a)f(state)h Fz(\015)j Fx(2)23 b(K)2109 2952 y Fy(q)2171 2940 y FB(with)j Fz(q)i FB(small)c(suc)n(h)h(that)g Fx(E)3050 2900 y Fy(\014)3043 2964 y(Z)3097 2940 y FB(\()p Fz(\015)5 b FB(\))23 b Fz(<)g FB(0)14 b(.)401 3048 y(If)25 b Fz(')g FB(is)g(a)f(normalized)g(eigen)n (v)n(ector)e(of)j Fx(\000)p FB(\001)13 b Fx(\000)g Fz(Z)q(=)p Fx(j)p Fz(x)p Fx(j)24 b FB(corresp)r(onding)f(to)h(the)h(\014rst)g (eigen)n(v)-5 b(alue)401 3156 y Fx(\000)p Fz(Z)529 3126 y FD(2)565 3156 y Fz(=)p FB(4)14 b(,)27 b(w)n(e)g(c)n(ho)r(ose)1661 3313 y Fz(\015)g FB(=)c Fz(q)17 b Fx(j)p Fz(')p Fx(ih)p Fz(')p Fx(j)24 b Fz(:)401 3470 y FB(The)k(result)f(follo)n(ws)f(from) 934 3651 y Fx(E)985 3611 y Fy(\014)978 3675 y(Z)1031 3651 y FB(\()p Fz(\015)5 b FB(\))23 b(=)g Fx(\000)1329 3595 y Fz(q)16 b(Z)1445 3565 y FD(2)p 1329 3632 154 4 v 1385 3708 a FB(4)1511 3651 y(+)i Fz(\014)t FB(\()p Fz(q)s FB(\))24 b(=)e Fx(\000)1935 3595 y Fz(q)17 b(Z)2052 3565 y FD(2)p 1935 3632 V 1991 3708 a FB(4)2117 3651 y(+)h Fz(o)p FB(\()p Fz(q)s FB(\))84 b(as)50 b Fz(q)26 b Fx(!)d FB(0)2764 3663 y FD(+)2842 3651 y Fz(;)401 3823 y FB(since)31 b(the)g(direct)g(and)f(exc)n(hange)g(term)h(cancel)f(for) h(a)f(rank-one)f(pro)5 b(jector.)30 b(The)h(fact)g(that)401 3931 y Fz(I)444 3891 y Fy(\014)437 3955 y(Z)491 3931 y FB(\(0\))23 b(=)g(0)k(is)g(a)g(consequence)g(of)h Fx(\\)1548 3943 y Fy(q)r Fu(\025)p FD(0)1683 3931 y Fx(f)p Fz(\015)g Fx(2)23 b(K)15 b(j)f FB(tr)g(\()p Fz(\015)5 b FB(\))23 b Fx(\024)g Fz(q)s Fx(g)f FB(=)h Fx(f)p FB(0)p 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