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All Rights Reserved) readonly def /FullName (CMBX6) readonly def /FamilyName (Computer Modern) readonly def /Weight (Bold) readonly def /ItalicAngle 0 def /isFixedPitch false def end readonly def /FontName /CMBX6 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 /.notdef put readonly def /FontBBox{-49 -250 1367 753}readonly def /UniqueID 5000764 def currentdict end currentfile eexec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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 0 /.notdef put readonly def /FontBBox{-58 -250 1195 750}readonly def /UniqueID 5000767 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 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: 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 /.notdef put readonly def /FontBBox{-4 -948 1329 786}readonly def /UniqueID 5000816 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 0 /.notdef put readonly def /FontBBox{-341 -250 1304 965}readonly def /UniqueID 5000788 def currentdict end currentfile eexec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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 0 /.notdef 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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0000000000000000000000000000000000000000000000000000000000000000 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 0 /.notdef put readonly def /FontBBox{-39 -250 1036 750}readonly def /UniqueID 5000792 def currentdict end currentfile eexec D9D66F633B846A97B686A97E45A3D0AA052A014267B7904EB3C0D3BD0B83D891 016CA6CA4B712ADEB258FAAB9A130EE605E61F77FC1B738ABC7C51CD46EF8171 9098D5FEE67660E69A7AB91B58F29A4D79E57022F783EB0FBBB6D4F4EC35014F D2DECBA99459A4C59DF0C6EBA150284454E707DC2100C15B76B4C19B84363758 469A6C558785B226332152109871A9883487DD7710949204DDCF837E6A8708B8 2BDBF16FBC7512FAA308A093FE5CF7158F1163BC1F3352E22A1452E73FECA8A4 87100FB1FFC4C8AF409B2067537220E605DA0852CA49839E1386AF9D7A1A455F 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0000000000000000000000000000000000000000000000000000000000000000 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 44 /defines put readonly def /FontBBox{8 -463 1331 1003}readonly def /UniqueID 5031981 def currentdict end currentfile eexec D9D66F633B846A97B686A97E45A3D0AA052A014267B7904EB3C0D3BD0B83D891 016CA6CA4B712ADEB258FAAB9A130EE605E61F77FC1B738ABC7C51CD46EF8171 9098D5FEE67660E69A7AB91B58F29A4D79E57022F783EB0FBBB6D4F4EC35014F D2DECBA99459A4C59DF0C6EBA150284454E707DC2100C15B76B4C19B84363758 469A6C558785B226332152109871A9883487DD7710949204DDCF837E6A8708B8 2BDBF16FBC7512FAA308A093FE5CF7158F1163BC1C87678CE98C24B934A76220 4DD9B2FF3A49786028E35DDE10AD2C926BD30AD47015FFE9469DE1F793D1C53A C8812CBCD402444EAEA7A50EC5FD93D6A04C2783B50EA48059E3E7407537CB8D 4C206846EF0764C05289733920E2399E58AD8F137C229F3CE3E34D2D1EAB2D53 20D44EFAC8EFA4D14A2EFE389D952527F98D0E49BD5BD2C8D58FF9CB9C78D974 75C2AB5467D73D2B5E277A3FDC35909938A9DF0EB91BD9159D3437BE22EE4544 3429AC8E2BFBE34AE54D3BA3AD04BDF3F4F43A2B43992DF88678681B3AB32CFD A23E2C98D1AF00AB206AC95B78BBE6316F7A0AB6BD3236C28C76288B3C25D1EB E9ABB3576C5EC15A71D26177F5883E9B48293D59015615E2EEAF2E9BA04151ED 5497B9A1C41CBA44BAFF13EA218F5EAC11952EE336AD1DBE6CE92F002EAA3B3D 3BE4C3792F3405763C4BD93EFC3B4FC34193439561841BA989DD8D9F9AEE7A7B 24AEB4654B35023C9720B8F31AA9452E29753FB7915CB29977E725611E37C0B7 784BCC26FACF8A7A0EB1E54290D27FFE52B2D87FAD080AD15EE1984C37E0EB30 122C3012D3A16B09C28903D138352AB5462674B6CFB63F1371768D094DDF288C 36FB9B58443F872D61F2CD8CED42FE0EFF3D7E9952A172BB1AFECB60BF79F2B6 04265FDE4F78BC9FD619AA733CD0412F1D9A7C13B271BF827DCBDC8ABAE24FF0 74D3C220621D7FF0EFE62D835A221D0A7C139E2E6681FC2BBA58FA3B80D416EC 3854C63BA040A4262B458340DAA18AA6AEA3BBAC61615CB85982B18664D3D3AF 340C65B969071CF2D0CABEB80E04623D0526F862ECA8280EEE236C535F70561A 854181132E677674AD5E14C6636F57541D3C821F0776D2CB9B8526D4B826791A 0B179B386A81720D8EB7EFA04CE1734D7F48C98CD7DE2FB5F2F97F983819626B 717F0CA1EEBC10E31416E0599733C7930E464FD271713BEBD5EF40D60C3D3189 6941CA883DF4342137451FED4FE26A353E04F6A1E34BACE5B162E5DF04C4AF96 57E557D5F7C4EBB97E8EE636979DD3F41B85EDCA5F1ED51BE5F8140C77788F4F E04DCEEE933FC6A09A4B86AFA2F2281F09957F23385BA40C26E4892D293FB17E EE7484E7C8B38D17E92FB8EC2C997789355EFD246D5B5C67787113E2F558B752 DE5D2E735F1957D909011CF87CAC524ECDB88DBE30FE71FE3D01F581BDF8EF1B 02C039BC04FD9AF5FB2B63660E1354D53EC343CEEFC048130BF27BA323C4F944 E07BA56EAD3AC6CD5B142C60F1313B223B4F888FE724A73FC21488A083B7142C D3C59EFBA185CDC9165EAA65E0502892 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 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 /.notdef put readonly def /FontBBox{21 -944 1448 791}readonly def /UniqueID 5000815 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 /.notdef put readonly def /FontBBox{-15 -951 1252 782}readonly def /UniqueID 5000817 def currentdict end currentfile eexec D9D66F633B846A97B686A97E45A3D0AA052F09F9C8ADE9D907C058B87E9B6964 7D53359E51216774A4EAA1E2B58EC3176BD1184A633B951372B4198D4E8C5EF4 A213ACB58AA0A658908035BF2ED8531779838A960DFE2B27EA49C37156989C85 E21B3ABF72E39A89232CD9F4237FC80C9E64E8425AA3BEF7DED60B122A52922A 221A37D9A807DD01161779DDE7D251491EBF65A98C9FE2B1CF8D725A70281949 8F4AFFE638BBA6B12386C7F32BA350D62EA218D5B24EE612C2C20F43CD3BFD0D F02B185B692D7B27BEC7290EEFDCF92F95DDEB507068DE0B0B0351E3ECB8E443 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0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 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 0 /.notdef put readonly def /FontBBox{-15 -250 1216 750}readonly def /UniqueID 5087392 def currentdict end currentfile eexec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cleartomark %%EndFont %%BeginFont: CMMI5 %!PS-AdobeFont-1.1: CMMI5 1.100 %%CreationDate: 1996 Aug 02 08:21:10 % Copyright (C) 1997 American Mathematical Society. All Rights Reserved. 11 dict begin /FontInfo 7 dict dup begin /version (1.100) readonly def /Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def /FullName (CMMI5) readonly def /FamilyName (Computer Modern) readonly def /Weight (Medium) readonly def /ItalicAngle -14.04 def /isFixedPitch false def end readonly def /FontName /CMMI5 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 0 /.notdef put readonly def /FontBBox{37 -250 1349 750}readonly def /UniqueID 5087380 def currentdict end currentfile eexec D9D66F633B846A97B686A97E45A3D0AA06DA87FC7163A5A2A756A598FAB07633 89DE8BB201D5DB4627484A80A431B6AFDBBBF23D4157D4AFE17E6B1C853DD417 25F84CD55402AB88AB7EEFDEDBF2C2C731BD25567C53B474CCF739188A930039 098A197F9C4BE7594D79442B2C8A67447DE44698321145D7689B91EF235EA80E B600AA8E238064F154284096C4C2554EFE8DDF13AFF8D3CE30E0999375C0FEE6 F992DEA5FC3897E2CC8B7A90238E61E41622DE80F438DD994C73275CC52249D9 F6686F87F394FB7BB668138B210BEC9E46415A1B58C990B81E7D7DD301143517 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All Rights Reserved. 11 dict begin /FontInfo 7 dict dup begin /version (1.100) readonly def /Notice (Copyright (C) 1997 American Mathematical Society. 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All Rights Reserved. 11 dict begin /FontInfo 7 dict dup begin /version (1.0) readonly def /Notice (Copyright (C) 1997 American Mathematical Society. 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0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 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 0 /.notdef put readonly def /FontBBox{-163 -250 1146 969}readonly def /UniqueID 5000828 def currentdict end currentfile eexec D9D66F633B846A97B686A97E45A3D0AA0529731C99A784CCBE85B4993B2EEBDE 3B12D472B7CF54651EF21185116A69AB1096ED4BAD2F646635E019B6417CC77B 532F85D811C70D1429A19A5307EF63EB5C5E02C89FC6C20F6D9D89E7D91FE470 B72BEFDA23F5DF76BE05AF4CE93137A219ED8A04A9D7D6FDF37E6B7FCDE0D90B 986423E5960A5D9FBB4C956556E8DF90CBFAEC476FA36FD9A5C8175C9AF513FE D919C2DDD26BDC0D99398B9F4D03D5993DFC0930297866E1CD0A319B6B1FD958 9E3948FFB0B4E70F212EC976D65099D84E0D37A7A771C3101D6AD26A0513378F 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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 (CMBX12) readonly def /FamilyName (Computer Modern) readonly def /Weight (Bold) readonly def /ItalicAngle 0 def /isFixedPitch false def end readonly def /FontName /CMBX12 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 0 /.notdef put readonly def /FontBBox{-53 -251 1139 750}readonly def /UniqueID 5000769 def currentdict end currentfile eexec D9D66F633B846A97B686A97E45A3D0AA052A014267B7904EB3C0D3BD0B83D891 016CA6CA4B712ADEB258FAAB9A130EE605E61F77FC1B738ABC7C51CD46EF8171 9098D5FEE67660E69A7AB91B58F29A4D79E57022F783EB0FBBB6D4F4EC35014F D2DECBA99459A4C59DF0C6EBA150284454E707DC2100C15B76B4C19B84363758 469A6C558785B226332152109871A9883487DD7710949204DDCF837E6A8708B8 2BDBF16FBC7512FAA308A093FE5F0364CD5660F74BEE96790DE35AFA90CCF712 B1805DA88AE375A04D99598EADFC625BDC1F9C315B6CF28C9BD427F32C745C99 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%!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. 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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 0 /.notdef put readonly def /FontBBox{-301 -250 1164 946}readonly def /UniqueID 5000768 def currentdict end currentfile eexec D9D66F633B846A97B686A97E45A3D0AA052A014267B7904EB3C0D3BD0B83D891 016CA6CA4B712ADEB258FAAB9A130EE605E61F77FC1B738ABC7C51CD46EF8171 9098D5FEE67660E69A7AB91B58F29A4D79E57022F783EB0FBBB6D4F4EC35014F D2DECBA99459A4C59DF0C6EBA150284454E707DC2100C15B76B4C19B84363758 469A6C558785B226332152109871A9883487DD7710949204DDCF837E6A8708B8 2BDBF16FBC7512FAA308A093FE5F00F963068B8B731A88D7740B0DDAED1B3F82 7DB9DFB4372D3935C286E39EE7AC9FB6A9B5CE4D2FAE1BC0E55AE02BFC464378 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5163 y Fu(\013)1666 5151 y Fw(j)p Fx(\013)h Fw(2)f(Ag)30 5251 y FA(denotes)d(the)i(set)e(of)h(p)r(oten)n(tial)g (functions)g(de\014ned)g(on)g(the)30 5351 y(cliques,)29 b(and)f(where)g Fr(\022)f FA(=)e Fw(f)p Fx(\022)973 5363 y Fu(\013)1019 5351 y Fw(j)p Fx(\013)h Fw(2)f(Ag)j FA(denotes)g(the)h (set)g(of)30 5450 y(parameters)h(asso)r(ciated)g(with)i(these)f(p)r (oten)n(tial)h(functions,)30 5550 y(and)g(where)g Fx(Z)498 5562 y Fu(p)569 5550 y FA(is)g(a)g(normalization)f(constan)n(t)h(\(the) h Fy(p)l(arti-)2130 83 y(tion)f(function)p FA(\).)45 b(Giv)n(en)30 b(a)g(disjoin)n(t)g(v)-5 b(ariable)29 b(partitioning,) 2130 183 y Fw(C)5 b FA(,)28 b(the)h(true)f Fy(cluster)i(c)l(onditional) g FA(of)f(eac)n(h)e(v)-5 b(ariable)27 b(cluster)2130 282 y Fx(C)2189 294 y Fu(i)2245 282 y FA(giv)n(en)f(its)i(Mark)n(o)n(v) e(blank)n(et)h Fx(M)9 b(B)3328 294 y Fu(i)3383 282 y FA(is:)2107 451 y Fx(p)p FA(\()p FB(X)2253 463 y Fs(C)2294 476 y(i)2325 451 y Fw(j)p FB(X)2420 463 y Fs(M)c(B)2521 476 y(i)2575 451 y 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1070 y FA(,)j(and)d(where)g(the)2130 1169 y(lo)n(w)n(er-case)19 b(c)n(haracter)g FB(x)j FA(denotes)f(a)g(sp) r(eci\014c)h(assignmen)n(t)e(to)2130 1269 y(v)-5 b(ariable)21 b FB(X)p FA(.)35 b(Without)23 b(loss)e(of)h(generalit)n(y)-7 b(,)21 b(w)n(e)h(assume)f(that)2130 1369 y(all)31 b(the)g(p)r(oten)n (tials)f(are)g(p)r(ositiv)n(ely)h(w)n(eigh)n(ted)f(\(i.e.,)i Fx(\022)f(>)d FA(0\))2130 1468 y(and)c(the)h(signs)f(are)g(subsumed)g (in)h(the)g(p)r(oten)n(tial)g(functions.)2130 1618 y(Giv)n(en)40 b(a)g(clique)g Fx(D)2784 1630 y Fu(\014)2829 1618 y FA(,)j(let)e Fx(I)3064 1630 y Fu(\014)3150 1618 y FA(denote)f(the)h(set)f(of)g (indices)2130 1717 y(of)27 b(clusters)g(that)g(ha)n(v)n(e)f(non-empt)n (y)g(in)n(tersection)h(with)g Fx(D)4012 1729 y Fu(\014)4057 1717 y FA(.)2130 1817 y(Let)34 b Fx(I)2321 1829 y Fu(\014)s(i)2423 1817 y FA(denote)g Fx(I)2733 1829 y Fu(\014)2801 1817 y Fw(n)22 b Fx(i)p FA(.)55 b(Finally)-7 b(,)35 b(let)f(us)g(refer)f(to) h(the)g(ex-)2130 1917 y(p)r(ectation)k(of)h(the)f(p)r(oten)n(tial)h Fx(\036)3177 1929 y Fu(\014)3222 1917 y FA(\()p FB(X)3326 1929 y Fs(D)3372 1944 y(\014)3416 1917 y FA(\))f(under)h(the)f(mean) 2130 2016 y(\014eld)33 b(cluster)g(marginals)e(indexed)i(b)n(y)g Fx(I)3442 2028 y Fu(\014)s(i)3544 2016 y FA(as)f(a)h Fy(p)l(eripher)l(al)2130 2116 y(mar)l(ginal)e(p)l(otential)37 b FA(of)27 b(cluster)h Fx(C)3243 2128 y Fu(i)3271 2116 y FA(:)2127 2284 y Fx(\036)2176 2250 y Fq(0)2176 2305 y Fu(\014)2221 2284 y FA(\()p FB(X)2325 2296 y Fs(D)2371 2311 y(\014)2411 2296 y Fp(\\)p Fs(C)2491 2309 y(i)2522 2284 y Fx(;)14 b(q)2596 2316 y Fu(I)2630 2331 y Fs(\014)r(i)2700 2284 y FA(\))23 b Fo(,)2842 2217 y Ft(\012)2882 2284 y Fx(\036)2931 2296 y Fu(\014)2976 2284 y FA(\()p FB(X)3080 2296 y Fs(D)3126 2311 y(\014)3170 2284 y FA(\))3202 2217 y Ft(\013)3241 2323 y Fx(q)3281 2369 y Fu(I)3315 2384 y Fs(\014)r(i)2127 2538 y FA(=)2215 2425 y Ft(Z)2312 2538 y Fx(\036)2361 2550 y Fu(\014)2406 2538 y FA(\()p FB(X)2510 2550 y Fs(D)2556 2565 y(\014)2596 2550 y Fp(\\)p Fs(C)2676 2563 y(i)2707 2538 y Fx(;)14 b FB(x)2794 2550 y Fs(D)2840 2565 y(\014)2879 2550 y Fp(\\)p Fs(M)5 b(B)3019 2563 y(i)3050 2538 y FA(\))p Fx(q)3119 2570 y Fu(I)3153 2585 y Fs(\014)r(i)3222 2538 y FA(\()p FB(x)3304 2550 y Fs(D)3350 2565 y(\014)3390 2550 y Fp(\\)p Fs(M)g(B)3530 2563 y(i)3561 2538 y FA(\))p Fx(d)p FB(x)3686 2550 y Fs(D)3732 2565 y(\014)3772 2550 y Fp(\\)p Fs(M)g(B)3912 2563 y(i)3942 2538 y Fx(;)k FA(\(3\))2130 2749 y(where)27 b Fx(q)2407 2781 y Fu(I)2441 2796 y Fs(\014)r(i)2511 2749 y FA(\()p Fw(\001)p FA(\))c(=)2709 2687 y Ft(Q)2787 2774 y Fu(j)s Fq(2)p Fu(I)2897 2783 y Fs(\014)r(i)2976 2749 y Fx(q)3013 2780 y Fu(j)3052 2749 y FA(\()p FB(X)3156 2761 y Fu(C)3204 2769 y Fs(j)3240 2749 y FA(\).)2130 2919 y(Giv)n(en)44 b(the)h(p)r(eripheral)e(marginal)g(p)r(oten)n(tials) h(of)h(all)f(the)2130 3019 y(cliques)27 b(in)n(tersecting)f(with)h (cluster)g Fx(C)3360 3031 y Fu(i)3388 3019 y FA(,)g(the)h(GMF)f(appro)n (x-)2130 3119 y(imation)g(to)h(the)g(cluster)f(marginal)f(of)i(this)g (cluster)f(is:)2169 3287 y Fx(q)2206 3299 y Fu(i)2234 3287 y FA(\()p FB(X)2338 3299 y Fs(C)2379 3312 y(i)2410 3287 y FA(\))c Fw(/)2169 3465 y FA(exp)2310 3373 y Ft(n)2406 3386 y(X)2355 3565 y Fu(D)2409 3573 y Fs(\013)2452 3565 y Fq(\022)p Fu(C)2552 3573 y Fs(i)2544 3465 y Fx(\022)2583 3477 y Fu(\013)2630 3465 y Fx(\036)2679 3477 y Fu(\013)2727 3465 y FA(\()p FB(X)2831 3477 y Fs(D)2877 3485 y(\013)2924 3465 y FA(\))c(+)3061 3386 y Ft(X)3011 3565 y Fu(D)3065 3574 y Fs(\014)3104 3565 y Fq(\022)p Fu(B)3206 3573 y Fs(i)3246 3465 y Fx(\022)3285 3477 y Fu(\014)3330 3465 y Fx(\036)3379 3431 y Fq(0)3379 3486 y Fu(\014)3424 3465 y FA(\()p FB(X)3528 3477 y Fs(D)3574 3492 y(\014)3614 3477 y Fp(\\)p Fs(C)3694 3490 y(i)3725 3465 y Fx(;)14 b(q)3799 3477 y Fu(I)3828 3486 y Fs(\014)r(i)3893 3465 y FA(\))3925 3373 y Ft(o)3981 3465 y Fx(;)3974 3638 y FA(\(4\))2130 3807 y(from)30 b(whic)n(h)f(the)i(isomorphism)e(of)g(the) i(GMF)f(appro)n(xima-)2130 3906 y(tion)g(of)f(the)h(cluster)f(marginal) f(to)i(the)g(true)f(cluster)h(condi-)2130 4006 y(tional)d(\(i.e.,)h (Eq.)37 b(\(2\)\))28 b(is)f(apparen)n(t.)2130 4155 y(The)c (de\014nition)h(of)f Fx(\036)2800 4125 y Fq(0)2800 4179 y Fu(\014)2868 4155 y FA(mak)n(es)f(it)h(clear)f(that)i(the)f(righ)n (t-hand)2130 4255 y(side)31 b(of)g(the)h(mean)f(\014eld)g(equation)g (of)g(cluster)g(marginal)e Fx(q)4052 4267 y Fu(i)2130 4354 y FA(dep)r(ends)24 b(only)g(on)f(a)g(set)h(of)g(cluster)f (marginals)f(that)j(are)d(de-)2130 4454 y(p)r(enden)n(t)h(on)f(the)h (Mark)n(o)n(v)d(blank)n(et)i(v)-5 b(ariables)21 b(of)i(cluster)f Fx(C)4029 4466 y Fu(i)4057 4454 y FA(,)2130 4554 y(whic)n(h)h(do)r(es)f (not)h(include)g Fx(q)3006 4566 y Fu(i)3034 4554 y FA(.)35 b(Th)n(us,)24 b(Eqs.)34 b(\(3\))23 b(and)g(\(4\))g(con-)2130 4653 y(stitute)g(an)f(async)n(hronous)e(iteration)i(pro)r(cedure)f (that)i(lo)r(ops)2130 4753 y(o)n(v)n(er)33 b(eac)n(h)h(cluster,)i (calculating)e(its)h(p)r(eripheral)g(marginal)2130 4853 y(p)r(oten)n(tials)40 b(using)g(the)g(curren)n(t)g(cluster)f(marginals) g(of)h(its)2130 4952 y(Mark)n(o)n(v)34 b(blank)n(et)i(clusters,)i(and)f (then)f(up)r(dating)h(its)g(o)n(wn)2130 5052 y(cluster)32 b(marginal,)g(un)n(til)h(a)f(\014xed)h(p)r(oin)n(t)g(is)f(reac)n(hed.) 50 b(This)2130 5151 y(approac)n(h)36 b(mak)n(es)i(it)g(straigh)n(tforw) n(ard)e(to)i(obtain)g(up)r(date)2130 5251 y(equations|all)f(that)h(is)f (needed)h(is)g(to)g(decide)f(on)h(a)f(sub-)2130 5351 y(graph)20 b(and)h(a)g(v)-5 b(ariable)20 b(clustering,)h(to)g(iden)n (tify)h(the)f(Mark)n(o)n(v)2130 5450 y(blank)n(et)30 b(of)h(eac)n(h)f(cluster,)h(and)f(to)h(plug)f(in)h(the)g(p)r(eripheral) 2130 5550 y(marginal)26 b(p)r(oten)n(tials)h(according)f(to)i(Eq.)36 b(\(4\).)p eop end %%Page: 3 3 TeXDict begin 3 2 bop 30 83 a FA(The)22 b(de\014nition)g(of)g(p)r (eripheral)g(marginal)e(p)r(oten)n(tial)i(is)g(more)30 183 y(general)28 b(than)j(the)f Fy(me)l(an)i(\014eld)g(messages)f FA(de\014ned)f(in)g(Xing)30 282 y(et)20 b(al.)f(\(2003\),)h(whic)n(h)f (can)g(b)r(e)h(view)n(ed)f(as)g(a)g(sp)r(ecial)g(case)g(that)30 382 y(applies)45 b(to)g Fy(cluster-factorizable)i(p)l(otentials)p FA(.)90 b(F)-7 b(or)45 b(other)30 482 y(non-factorizable)21 b(p)r(oten)n(tials,)j(suc)n(h)f(as)f(tabular)g(p)r(oten)n(tials,)30 581 y(p)r(eripheral)27 b(marginal)f(p)r(oten)n(tials)h(are)g(still)h(w) n(ell)f(de\014ned.)30 814 y Fz(3)112 b(Bounds)38 b(on)g(GMF)g(appro)m (ximation)30 1013 y FA(The)26 b(qualit)n(y)g(of)g(the)g(GMF)h(appro)n (ximation)d(dep)r(ends)j(criti-)30 1113 y(cally)c(on)h(the)h(c)n(hoice) e(of)h(v)-5 b(ariable)23 b(clustering)g(of)h(the)g(graphi-)30 1212 y(cal)i(mo)r(del.)36 b(In)27 b(the)f(follo)n(wing)g(w)n(e)g (presen)n(t)f(a)h(theorem)g(that)30 1312 y(formally)h(c)n(haracterizes) e(this)j(relationship.)30 1461 y FB(Theorem)44 b(1)h(\(GMF)g(b)s(ound)f (on)h(KL)g(div)m(ergence\))p FA(:)30 1561 y Fy(The)29 b(Kul)t(lb)l(ack-L)l(eibler)h(diver)l(genc)l(e)f(b)l(etwe)l(en)f(the)g (GMF)h(ap-)30 1660 y(pr)l(oximation)39 b(to)e(the)h(joint)g(p)l (osterior)h(and)g(the)e(true)g(joint)30 1760 y(p)l(osterior)24 b(is)f(b)l(ounde)l(d)g(by)g(the)f(sum)g(of)i(the)e(weights)i(of)f(p)l (oten-)30 1860 y(tial)32 b(functions)f(asso)l(ciate)l(d)i(with)f(the)g (cr)l(oss-b)l(or)l(der)g(cliques,)30 1959 y(up)e(to)f(some)i(c)l (onstants)e(intrinsic)h(to)f(the)h(gr)l(aphic)l(al)i(mo)l(del:)525 2116 y Fx(aW)j Fw(\024)23 b Fy(KL)p FA(\()p Fx(q)s Fw(k)p Fx(p)p FA(\))f Fw(\024)h Fx(bW)n(;)555 b FA(\(5\))30 2273 y Fy(wher)l(e)38 b Fx(W)50 b FA(=)502 2211 y Ft(P)590 2298 y Fu(D)644 2307 y Fs(\014)683 2298 y Fq(\022[)p Fu(B)830 2306 y Fs(i)874 2273 y Fx(\022)913 2285 y Fu(\014)958 2273 y Fy(,)40 b Fx(a)e Fy(and)g Fx(b)g Fy(ar)l(e)g(c)l(onstants)f(de-) 30 2373 y(termine)l(d)28 b(by)h(the)g(p)l(otential)g(functions)f(of)h (the)f(cr)l(oss-b)l(or)l(der)30 2473 y(cliques)38 b(\(but)e(indep)l (endent)i(to)f(the)h(p)l(otentials)g(internal)f(to)30 2572 y(the)30 b(clusters.\))30 2722 y FA(A)g(pro)r(of)g(of)g(this)h 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y(orem)d(1)g(exp)r(erimen)n(tally)-7 b(.)30 4051 y Fz(4)112 b(V)-9 b(ariable)38 b(clustering)g(via)g(graph)198 4167 y(partitioning)30 4366 y FA(A)65 b(wide)f(v)-5 b(ariet)n(y)64 b(of)g(graph)g(partitioning)f(algorithms)30 4465 y(ha)n(v)n(e)42 b(b)r(een)h(explored)e(in)i(recen)n(t)f(y)n(ears)f(in)i(a)g(n)n(um)n(b) r(er)f(of)30 4565 y(\014elds)21 b(\(e.g.,)g(Go)r(emans)g(and)g (Williamson,)g(1995,)e(Rendl)i(and)30 4664 y(W)-7 b(olk)n(o)n(wicz,)22 b(1995\).)34 b(Giv)n(en)24 b(our)f(fo)r(cus)h(on)f(disjoin)n(t)h (clusters)30 4764 y(in)j(the)h(GMF)f(approac)n(h,)e(these)i(algorithms) f(ha)n(v)n(e)g(immedi-)30 4864 y(ate)34 b(relev)-5 b(ance)34 b(to)g(the)h(problem)f(of)g(c)n(ho)r(osing)f(clusters)h(for)30 4963 y(inference.)72 b(In)40 b(this)g(section,)i(w)n(e)d(describ)r(e)g (the)h(metho)r(ds)30 5063 y(that)28 b(w)n(e)f(ha)n(v)n(e)g(explored.)30 5272 y FB(4.1)94 b(Graph)33 b(partition)30 5450 y FA(Let)i Fx(G)p FA(\()p Fx(V)5 b(;)14 b(E)5 b(;)14 b(A)p FA(\))37 b(b)r(e)e(a)g(w)n(eigh)n(ted)f(undirected)i(graph)e(with)30 5550 y(no)r(de)c(set)g Fx(V)46 b FA(=)26 b Fw(f)p FA(1)p Fx(;)14 b(:)g(:)g(:)f(;)h(n)p Fw(g)p FA(,)30 b(edge)g(set)g Fx(E)35 b FA(and)29 b(nonnegativ)n(e)2130 83 y(w)n(eigh)n(ts)h Fx(a)2473 95 y Fu(ij)2531 83 y FA(,)h(for)f(\()p Fx(i;)14 b(j)5 b FA(\))28 b Fw(2)h Fx(E)35 b FA(\()p Fx(a)3168 95 y Fu(ij)3255 83 y FA(=)27 b(0)k(if)g(there)f(is)g(no)h(edge)2130 183 y(b)r(et)n(w)n(een)j(no)r(de)g Fx(i)g FA(and)g Fx(j)5 b FA(;)37 b(also)c Fx(a)3211 195 y Fu(ii)3296 183 y FA(=)g(0)p Fx(;)14 b Fw(8)p Fx(i)p FA(\).)56 b(W)-7 b(e)34 b(refer)f(to)2130 282 y(the)22 b(symmetric)f(matrix)f Fx(A)k FA(=)e Fw(f)p Fx(a)3187 294 y Fu(ij)3245 282 y Fw(g)f FA(as)g(the)g Fy(a\016nity)k(matrix)p FA(.)2130 382 y(W)-7 b(e)33 b(equip)f(the)h (space)f(of)g Fx(n)22 b Fw(\002)f Fx(n)32 b FA(matrices)g(with)h(the)g (trace)2130 482 y(inner)20 b(pro)r(duct)h Fx(A)5 b Fw(\017)g Fx(B)26 b FA(=)d(tr)d Fx(AB)t FA(;)k(let)d Fx(A)i Fw(\027)g 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5141 y(T)-7 b(able)28 b(1:)36 b Fi(Graph)26 b(partition)g(sc)n(hemes)p 42 5167 1926 4 v 40 5233 4 67 v 329 5233 V 1148 5233 V 1966 5233 V 40 5357 4 159 v 92 5270 a Fv(GP)92 5337 y(sc)n(heme)p 329 5357 V 381 5239 a Fu(k)q Fv(-)381 5305 y Fu(M)6 b(inC)562 5313 y Fs(a)646 5238 y Fu(k)q Fv(-)646 5305 y Fu(M)g(inC)827 5314 y Fs(b)911 5239 y Fu(k)q Fv(-)911 5305 y Fu(M)g(inC)1092 5313 y Fs(c)p 1148 5357 V 1199 5239 a Fu(k)q Fv(-)1199 5305 y Fu(M)g(axC)1390 5313 y Fs(a)1464 5238 y Fu(k)q Fv(-)1464 5305 y Fu(M)g(axC)1655 5314 y Fs(b)1729 5239 y Fu(k)q Fv(-)1729 5305 y Fu(M)g(axC)1920 5313 y Fs(c)p 1966 5357 V 42 5360 1926 4 v 40 5426 4 67 v 329 5426 V 1148 5426 V 1966 5426 V 40 5538 4 148 v 92 5440 a Fn(a)133 5448 y Fk(ij)92 5518 y Fi(v)l(alue)p 329 5538 V 381 5440 a Fq(f)p Fv(1)p Fu(;)11 b Fv(0)p Fq(g)100 b(f)p Fu(\022)712 5448 y Fs(ij)764 5440 y Fu(;)11 b Fv(0)p Fq(g)49 b(f)981 5418 y Ff(1)p 954 5427 82 3 v 954 5460 a Fs(\022)982 5473 y(ij)1046 5440 y Fu(;)11 b Fv(0)p Fq(g)p 1148 5538 4 148 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b(w)n(eigh)n(ted)g(graphs)f(sho)n(w)h(similar)g(p)r (erformance.)2130 5059 y(W)-7 b(e)20 b(see)f(that)h(the)g(SDP-based)f (GP)h(pro)n(vides)e(v)n(ery)g(go)r(o)r(d)h(and)p 2130 5132 499 4 v 2234 5186 a Fm(2)2268 5218 y Fi(Indeed,)50 b(a)45 b(standard)g(SDP)g(solv)n(er)h(can)f(readily)h(handle)2130 5301 y(larger)33 b(graphs)f(\(e.g.,)j(with)d(more)h(than)e(100)i(no)r (des\).)54 b(But)31 b(the)2130 5384 y(exact)26 b(solutions)h(of)g(the)f (singleton)h(marginals)h(of)f(larger)h(graphs)2130 5467 y(are)f(v)n(ery)e(exp)r(ensiv)n(e)g(to)h(compute,)g(whic)n(h)h(mak)n (es)f(it)g(di\016cult)g(to)2130 5550 y(obtain)g(go)r(o)r(d)h(estimates) g(of)f(the)f(inference)i(error.)p eop end %%Page: 6 6 TeXDict begin 6 5 bop 357 685 a @beginspecial 76 @llx 416 @lly 289 @urx 603 @ury 936 @rwi @setspecial %%BeginDocument: figures/err5.eps %!PS-Adobe-2.0 EPSF-1.2 %%Creator: MATLAB, The Mathworks, Inc. %%Title: /home/eecs/epxing/matlab/GMF/err5.eps %%CreationDate: 06/01/2003 23:48:30 %%DocumentNeededFonts: Helvetica %%DocumentProcessColors: Cyan Magenta Yellow Black %%Extensions: CMYK %%Pages: 1 %%BoundingBox: 76 416 289 603 %%EndComments %%BeginProlog % MathWorks dictionary /MathWorks 160 dict begin % definition operators /bdef {bind def} bind def /ldef {load def} bind def /xdef {exch def} bdef /xstore {exch store} bdef % operator abbreviations /c /clip ldef /cc /concat ldef /cp /closepath ldef /gr /grestore ldef /gs /gsave ldef /mt /moveto ldef /np /newpath ldef /cm /currentmatrix ldef /sm /setmatrix ldef /rm /rmoveto ldef /rl /rlineto ldef /s /show ldef /sc {setcmykcolor} bdef /sr /setrgbcolor ldef /sg /setgray ldef /w /setlinewidth ldef /j /setlinejoin ldef /cap /setlinecap ldef /rc {rectclip} bdef /rf {rectfill} bdef % page state control /pgsv () def /bpage {/pgsv save def} bdef /epage {pgsv restore} bdef /bplot /gsave ldef /eplot {stroke grestore} bdef % orientation switch /portraitMode 0 def /landscapeMode 1 def /rotateMode 2 def % coordinate system mappings /dpi2point 0 def % font control /FontSize 0 def /FMS {/FontSize xstore findfont [FontSize 0 0 FontSize neg 0 0] makefont setfont} bdef /reencode {exch dup where {pop load} {pop StandardEncoding} ifelse exch dup 3 1 roll findfont dup length dict begin { 1 index /FID ne {def}{pop pop} ifelse } forall /Encoding exch def currentdict end definefont pop} bdef /isroman {findfont /CharStrings get /Agrave known} bdef /FMSR {3 1 roll 1 index dup isroman {reencode} {pop pop} ifelse exch FMS} bdef /csm {1 dpi2point div -1 dpi2point div scale neg translate dup landscapeMode eq {pop -90 rotate} {rotateMode eq {90 rotate} if} ifelse} bdef % line types: solid, dotted, dashed, dotdash /SO { [] 0 setdash } bdef /DO { [.5 dpi2point mul 4 dpi2point mul] 0 setdash } bdef /DA { [6 dpi2point mul] 0 setdash } bdef /DD { [.5 dpi2point mul 4 dpi2point mul 6 dpi2point mul 4 dpi2point mul] 0 setdash } bdef % macros for lines and objects /L {lineto stroke} bdef /MP {3 1 roll moveto 1 sub {rlineto} repeat} bdef /AP {{rlineto} repeat} bdef /PDlw -1 def /W {/PDlw currentlinewidth def setlinewidth} def /PP {closepath eofill} bdef /DP {closepath stroke} bdef /MR {4 -2 roll moveto dup 0 exch rlineto exch 0 rlineto neg 0 exch rlineto closepath} bdef /FR {MR stroke} bdef /PR {MR fill} bdef /L1i {{currentfile picstr readhexstring pop} image} bdef /tMatrix matrix def /MakeOval {newpath tMatrix currentmatrix pop translate scale 0 0 1 0 360 arc tMatrix setmatrix} bdef /FO {MakeOval stroke} bdef /PO {MakeOval fill} bdef /PD {currentlinewidth 2 div 0 360 arc fill PDlw -1 eq not {PDlw w /PDlw -1 def} if} def /FA {newpath tMatrix currentmatrix pop translate scale 0 0 1 5 -2 roll arc tMatrix setmatrix stroke} bdef /PA {newpath tMatrix currentmatrix pop translate 0 0 moveto scale 0 0 1 5 -2 roll arc closepath tMatrix setmatrix fill} bdef /FAn {newpath tMatrix currentmatrix pop translate scale 0 0 1 5 -2 roll arcn tMatrix setmatrix stroke} bdef /PAn {newpath tMatrix currentmatrix pop translate 0 0 moveto scale 0 0 1 5 -2 roll arcn closepath tMatrix setmatrix fill} bdef /vradius 0 def /hradius 0 def /lry 0 def /lrx 0 def /uly 0 def /ulx 0 def /rad 0 def /MRR {/vradius xdef /hradius xdef /lry xdef /lrx xdef /uly xdef /ulx xdef newpath tMatrix currentmatrix pop ulx hradius add uly vradius add translate hradius vradius scale 0 0 1 180 270 arc tMatrix setmatrix lrx hradius sub uly vradius add translate hradius vradius scale 0 0 1 270 360 arc tMatrix setmatrix lrx hradius sub lry vradius sub translate hradius vradius scale 0 0 1 0 90 arc tMatrix setmatrix ulx hradius add lry vradius sub translate hradius vradius scale 0 0 1 90 180 arc tMatrix setmatrix closepath} bdef /FRR {MRR stroke } bdef /PRR {MRR fill } bdef /MlrRR {/lry xdef /lrx xdef /uly xdef /ulx xdef /rad lry uly sub 2 div def newpath tMatrix currentmatrix pop ulx rad add uly rad add translate rad rad scale 0 0 1 90 270 arc tMatrix setmatrix lrx rad sub lry rad sub translate rad rad scale 0 0 1 270 90 arc tMatrix setmatrix closepath} bdef /FlrRR {MlrRR stroke } bdef /PlrRR {MlrRR fill } bdef /MtbRR {/lry xdef /lrx xdef /uly xdef /ulx xdef /rad lrx ulx sub 2 div def newpath tMatrix currentmatrix pop ulx rad add uly rad add translate rad rad scale 0 0 1 180 360 arc tMatrix setmatrix lrx rad sub lry rad sub translate rad rad scale 0 0 1 0 180 arc tMatrix setmatrix closepath} bdef /FtbRR {MtbRR stroke } bdef /PtbRR {MtbRR fill } bdef /stri 6 array def /dtri 6 array def /smat 6 array def /dmat 6 array def /tmat1 6 array def /tmat2 6 array def /dif 3 array def /asub {/ind2 exch def /ind1 exch def dup dup ind1 get exch ind2 get sub exch } bdef /tri_to_matrix { 2 0 asub 3 1 asub 4 0 asub 5 1 asub dup 0 get exch 1 get 7 -1 roll astore } bdef /compute_transform { dmat dtri tri_to_matrix tmat1 invertmatrix smat stri tri_to_matrix tmat2 concatmatrix } bdef /ds {stri astore pop} bdef /dt {dtri astore pop} bdef /db {2 copy /cols xdef /rows xdef mul dup 3 mul string currentfile exch readhexstring pop dup 0 3 index getinterval /rbmap xdef dup 2 index dup getinterval /gbmap xdef 1 index dup 2 mul exch getinterval /bbmap xdef pop pop}bdef /it {gs np dtri aload pop moveto lineto lineto cp c cols rows 8 compute_transform rbmap gbmap bbmap true 3 colorimage gr}bdef /il {newpath moveto lineto stroke}bdef currentdict end def %%EndProlog %%BeginSetup MathWorks begin 0 cap end %%EndSetup %%Page: 1 1 %%BeginPageSetup %%PageBoundingBox: 76 416 289 603 MathWorks begin bpage %%EndPageSetup %%BeginObject: obj1 bplot /dpi2point 12 def portraitMode 0216 7344 csm 698 108 2561 2237 MR c np 92 dict begin %Colortable dictionary /c0 { 0 0 0 sr} bdef /c1 { 1 1 1 sr} bdef /c2 { 1 0 0 sr} bdef /c3 { 0 1 0 sr} bdef /c4 { 0 0 1 sr} bdef /c5 { 1 1 0 sr} bdef /c6 { 1 0 1 sr} bdef /c7 { 0 1 1 sr} bdef c0 1 j 1 sg 0 0 6918 5185 PR 6 w 0 1783 2262 0 0 -1783 899 2172 4 MP PP -2262 0 0 1783 2262 0 0 -1783 899 2172 5 MP stroke 4 w DO SO 6 w 0 sg 899 2172 mt 3161 2172 L 899 389 mt 3161 389 L 899 2172 mt 899 389 L 3161 2172 mt 3161 389 L 899 2172 mt 3161 2172 L 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-145 899 707 4 MP stroke gr DA SO 0 j 24 31 -24 31 -24 -31 24 -31 899 738 5 MP gs PP gr DP 24 31 -24 31 -24 -31 24 -31 1653 593 5 MP gs PP gr DP 24 31 -24 31 -24 -31 24 -31 2407 628 5 MP gs PP gr DP 24 31 -24 31 -24 -31 24 -31 3161 569 5 MP gs PP gr DP DA gs 899 389 2263 1784 MR c np SO 754 -27 754 -22 754 -101 899 676 4 MP stroke gr SO 24 31 -24 31 -24 -31 24 -31 899 707 5 MP gs PP gr DP 24 31 -24 31 -24 -31 24 -31 1653 606 5 MP gs PP gr DP 24 31 -24 31 -24 -31 24 -31 2407 584 5 MP gs PP gr DP 24 31 -24 31 -24 -31 24 -31 3161 557 5 MP gs PP gr DP gs 899 389 2263 1784 MR c np DD 754 -42 754 23 754 -191 899 774 4 MP stroke gr DD SO 24 31 -24 31 -24 -31 24 -31 899 805 5 MP gs PP gr DP 24 31 -24 31 -24 -31 24 -31 1653 614 5 MP gs PP gr DP 24 31 -24 31 -24 -31 24 -31 2407 637 5 MP gs PP gr DP 24 31 -24 31 -24 -31 24 -31 3161 595 5 MP gs PP gr DP DD gs 899 389 2263 1784 MR c np DA /c8 { 0.000000 0.000000 1.000000 sr} bdef c8 754 -222 754 -377 754 -146 899 1895 4 MP stroke gr c8 DA SO 24 24 899 1895 PO 24 24 1653 1749 PO 24 24 2407 1372 PO 24 24 3161 1150 PO 24 24 899 1895 FO 24 24 1653 1749 FO 24 24 2407 1372 FO 24 24 3161 1150 FO DA gs 899 389 2263 1784 MR c np SO 754 -260 754 -323 754 -206 899 2114 4 MP stroke gr SO 24 24 899 2114 PO 24 24 1653 1908 PO 24 24 2407 1585 PO 24 24 3161 1325 PO 24 24 899 2114 FO 24 24 1653 1908 FO 24 24 2407 1585 FO 24 24 3161 1325 FO gs 899 389 2263 1784 MR c np DD 754 -142 754 -307 754 -185 899 1463 4 MP stroke gr DD SO 24 24 899 1463 PO 24 24 1653 1278 PO 24 24 2407 971 PO 24 24 3161 829 PO 24 24 899 1463 FO 24 24 1653 1278 FO 24 24 2407 971 FO 24 24 3161 829 FO DD gs 899 389 2263 1784 MR c np DO /c9 { 1.000000 0.000000 0.000000 sr} bdef c9 754 -67 754 -195 754 -314 899 1296 4 MP stroke gr c9 DO SO 0 -38 -38 0 0 38 38 0 880 1277 5 MP gs PP gr DP 0 -38 -38 0 0 38 38 0 1634 963 5 MP gs PP gr DP 0 -38 -38 0 0 38 38 0 2388 768 5 MP gs PP gr DP 0 -38 -38 0 0 38 38 0 3142 701 5 MP gs PP gr DP DO gs 899 389 2263 1784 MR c np 754 0 754 0 754 0 899 526 4 MP stroke SO gr SO end eplot %%EndObject epage end showpage %%Trailer %%EOF %%EndDocument @endspecial 833 w @beginspecial 70 @llx 416 @lly 289 @urx 603 @ury 936 @rwi @setspecial %%BeginDocument: figures/err3.eps %!PS-Adobe-2.0 EPSF-1.2 %%Creator: MATLAB, The Mathworks, Inc. %%Title: /home/eecs/epxing/matlab/GMF/err3.eps %%CreationDate: 06/01/2003 23:45:26 %%DocumentNeededFonts: Helvetica %%DocumentProcessColors: Cyan Magenta Yellow Black %%Extensions: CMYK %%Pages: 1 %%BoundingBox: 70 416 289 603 %%EndComments %%BeginProlog % MathWorks dictionary /MathWorks 160 dict begin % definition operators /bdef {bind def} bind def /ldef {load def} bind def /xdef {exch def} bdef /xstore {exch store} bdef % operator abbreviations /c /clip ldef /cc /concat ldef /cp /closepath ldef /gr /grestore ldef /gs /gsave ldef /mt /moveto ldef /np /newpath ldef /cm /currentmatrix ldef /sm /setmatrix ldef /rm /rmoveto ldef /rl /rlineto ldef /s /show ldef /sc {setcmykcolor} bdef /sr /setrgbcolor ldef /sg /setgray ldef /w /setlinewidth ldef /j /setlinejoin ldef /cap /setlinecap ldef /rc {rectclip} bdef /rf {rectfill} bdef % page state control /pgsv () def /bpage {/pgsv save def} bdef /epage {pgsv restore} bdef /bplot /gsave ldef /eplot {stroke grestore} bdef % orientation switch /portraitMode 0 def /landscapeMode 1 def /rotateMode 2 def % coordinate system mappings /dpi2point 0 def % font control /FontSize 0 def /FMS {/FontSize xstore findfont [FontSize 0 0 FontSize neg 0 0] makefont setfont} bdef /reencode {exch dup where {pop load} {pop StandardEncoding} ifelse exch dup 3 1 roll findfont dup length dict begin { 1 index /FID ne {def}{pop pop} ifelse } forall /Encoding exch def currentdict end definefont pop} bdef /isroman {findfont /CharStrings get /Agrave known} bdef /FMSR {3 1 roll 1 index dup isroman {reencode} {pop pop} ifelse exch FMS} bdef /csm {1 dpi2point div -1 dpi2point div scale neg translate dup landscapeMode eq {pop -90 rotate} {rotateMode eq {90 rotate} if} ifelse} bdef % line types: solid, dotted, dashed, dotdash /SO { [] 0 setdash } bdef /DO { [.5 dpi2point mul 4 dpi2point mul] 0 setdash } bdef /DA { [6 dpi2point mul] 0 setdash } bdef /DD { [.5 dpi2point mul 4 dpi2point mul 6 dpi2point mul 4 dpi2point mul] 0 setdash } bdef % macros for lines and objects /L {lineto stroke} bdef /MP {3 1 roll moveto 1 sub {rlineto} repeat} bdef /AP {{rlineto} repeat} bdef /PDlw -1 def /W {/PDlw currentlinewidth def setlinewidth} def /PP {closepath eofill} bdef /DP {closepath stroke} bdef /MR {4 -2 roll moveto dup 0 exch rlineto exch 0 rlineto neg 0 exch rlineto closepath} bdef /FR {MR stroke} bdef /PR {MR fill} bdef /L1i {{currentfile picstr readhexstring pop} image} bdef /tMatrix matrix def /MakeOval {newpath tMatrix currentmatrix pop translate scale 0 0 1 0 360 arc tMatrix setmatrix} bdef /FO {MakeOval stroke} bdef /PO {MakeOval fill} bdef /PD {currentlinewidth 2 div 0 360 arc fill PDlw -1 eq not {PDlw w /PDlw -1 def} if} def /FA {newpath tMatrix currentmatrix pop translate scale 0 0 1 5 -2 roll arc tMatrix setmatrix stroke} bdef /PA {newpath tMatrix currentmatrix pop translate 0 0 moveto scale 0 0 1 5 -2 roll arc closepath tMatrix setmatrix fill} bdef /FAn {newpath tMatrix currentmatrix pop translate scale 0 0 1 5 -2 roll arcn tMatrix setmatrix stroke} bdef /PAn {newpath tMatrix currentmatrix pop translate 0 0 moveto scale 0 0 1 5 -2 roll arcn closepath tMatrix setmatrix fill} bdef /vradius 0 def /hradius 0 def /lry 0 def /lrx 0 def /uly 0 def /ulx 0 def /rad 0 def /MRR {/vradius xdef /hradius xdef /lry xdef /lrx xdef /uly xdef /ulx xdef newpath tMatrix currentmatrix pop ulx hradius add uly vradius add translate hradius vradius scale 0 0 1 180 270 arc tMatrix setmatrix lrx hradius sub uly vradius add translate hradius vradius scale 0 0 1 270 360 arc tMatrix setmatrix lrx hradius sub lry vradius sub translate hradius vradius scale 0 0 1 0 90 arc tMatrix setmatrix ulx hradius add lry vradius sub translate hradius vradius scale 0 0 1 90 180 arc tMatrix setmatrix closepath} bdef /FRR {MRR stroke } bdef /PRR {MRR fill } bdef /MlrRR {/lry xdef /lrx xdef /uly xdef /ulx xdef /rad lry uly sub 2 div def newpath tMatrix currentmatrix pop ulx rad add uly rad add translate rad rad scale 0 0 1 90 270 arc tMatrix setmatrix lrx rad sub lry rad sub translate rad rad scale 0 0 1 270 90 arc tMatrix setmatrix closepath} bdef /FlrRR {MlrRR stroke } bdef /PlrRR {MlrRR fill } bdef /MtbRR {/lry xdef /lrx xdef /uly xdef /ulx xdef /rad lrx ulx sub 2 div def newpath tMatrix currentmatrix pop ulx rad add uly rad add translate rad rad scale 0 0 1 180 360 arc tMatrix setmatrix lrx rad sub lry rad sub translate rad rad scale 0 0 1 0 180 arc tMatrix setmatrix closepath} bdef /FtbRR {MtbRR stroke } bdef /PtbRR {MtbRR fill } bdef /stri 6 array def /dtri 6 array def /smat 6 array def /dmat 6 array def /tmat1 6 array def /tmat2 6 array def /dif 3 array def /asub {/ind2 exch def /ind1 exch def dup dup ind1 get exch ind2 get sub exch } bdef /tri_to_matrix { 2 0 asub 3 1 asub 4 0 asub 5 1 asub dup 0 get exch 1 get 7 -1 roll astore } bdef /compute_transform { dmat dtri tri_to_matrix tmat1 invertmatrix smat stri tri_to_matrix tmat2 concatmatrix } bdef /ds {stri astore pop} bdef /dt {dtri astore pop} bdef /db {2 copy /cols xdef /rows xdef mul dup 3 mul string currentfile exch readhexstring pop dup 0 3 index getinterval /rbmap xdef dup 2 index dup getinterval /gbmap xdef 1 index dup 2 mul exch getinterval /bbmap xdef pop pop}bdef /it {gs np dtri aload pop moveto lineto lineto cp c cols rows 8 compute_transform rbmap gbmap bbmap true 3 colorimage gr}bdef /il {newpath moveto lineto stroke}bdef currentdict end def %%EndProlog %%BeginSetup MathWorks begin 0 cap end %%EndSetup %%Page: 1 1 %%BeginPageSetup %%PageBoundingBox: 70 416 289 603 MathWorks begin bpage %%EndPageSetup %%BeginObject: obj1 bplot /dpi2point 12 def portraitMode 0216 7344 csm 631 107 2628 2238 MR c np 92 dict begin %Colortable dictionary /c0 { 0 0 0 sr} bdef /c1 { 1 1 1 sr} bdef /c2 { 1 0 0 sr} bdef /c3 { 0 1 0 sr} bdef /c4 { 0 0 1 sr} bdef /c5 { 1 1 0 sr} bdef /c6 { 1 0 1 sr} bdef /c7 { 0 1 1 sr} bdef c0 1 j 1 sg 0 0 6918 5185 PR 6 w 0 1783 2262 0 0 -1783 899 2172 4 MP PP -2262 0 0 1783 2262 0 0 -1783 899 2172 5 MP stroke 4 w DO SO 6 w 0 sg 899 2172 mt 3161 2172 L 899 389 mt 3161 389 L 899 2172 mt 899 389 L 3161 2172 mt 3161 389 L 899 2172 mt 3161 2172 L 899 2172 mt 899 389 L 899 2172 mt 899 2149 L 899 389 mt 899 411 L %%IncludeResource: font Helvetica /Helvetica /ISOLatin1Encoding 120 FMSR 866 2317 mt (3) s 1653 2172 mt 1653 2149 L 1653 389 mt 1653 411 L 1620 2317 mt (4) s 2407 2172 mt 2407 2149 L 2407 389 mt 2407 411 L 2374 2317 mt (6) s 3161 2172 mt 3161 2149 L 3161 389 mt 3161 411 L 3128 2317 mt (8) s 899 1944 mt 921 1944 L 3161 1944 mt 3138 1944 L 631 1988 mt (0.08) s 899 1569 mt 921 1569 L 3161 1569 mt 3138 1569 L 631 1613 mt (0.09) s 899 1194 mt 921 1194 L 3161 1194 mt 3138 1194 L 698 1238 mt (0.1) s 899 819 mt 921 819 L 3161 819 mt 3138 819 L 631 863 mt (0.11) s 899 444 mt 921 444 L 3161 444 mt 3138 444 L 631 488 mt (0.12) s 899 2172 mt 3161 2172 L 899 389 mt 3161 389 L 899 2172 mt 899 389 L 3161 2172 mt 3161 389 L gs 899 389 2263 1784 MR c np DA 754 -14 754 -24 754 -147 899 824 4 MP stroke gr DA SO 0 j 24 31 -24 31 -24 -31 24 -31 899 855 5 MP gs PP gr DP 24 31 -24 31 -24 -31 24 -31 1653 708 5 MP gs PP gr DP 24 31 -24 31 -24 -31 24 -31 2407 684 5 MP gs PP gr DP 24 31 -24 31 -24 -31 24 -31 3161 670 5 MP gs PP gr DP DA gs 899 389 2263 1784 MR c np SO 754 -22 754 -41 754 -96 899 772 4 MP stroke gr SO 24 31 -24 31 -24 -31 24 -31 899 803 5 MP gs PP gr DP 24 31 -24 31 -24 -31 24 -31 1653 707 5 MP gs PP gr DP 24 31 -24 31 -24 -31 24 -31 2407 666 5 MP gs PP gr DP 24 31 -24 31 -24 -31 24 -31 3161 644 5 MP gs PP gr DP gs 899 389 2263 1784 MR c np DD 754 -54 754 -24 754 -233 899 921 4 MP stroke gr DD SO 24 31 -24 31 -24 -31 24 -31 899 952 5 MP gs PP gr DP 24 31 -24 31 -24 -31 24 -31 1653 719 5 MP gs PP gr DP 24 31 -24 31 -24 -31 24 -31 2407 695 5 MP gs PP gr DP 24 31 -24 31 -24 -31 24 -31 3161 641 5 MP gs PP gr DP DD gs 899 389 2263 1784 MR c np DA /c8 { 0.000000 0.000000 1.000000 sr} bdef c8 754 -97 754 -446 754 -186 899 1958 4 MP stroke gr c8 DA SO 24 24 899 1958 PO 24 24 1653 1772 PO 24 24 2407 1326 PO 24 24 3161 1229 PO 24 24 899 1958 FO 24 24 1653 1772 FO 24 24 2407 1326 FO 24 24 3161 1229 FO DA gs 899 389 2263 1784 MR c np SO 754 -204 754 -319 754 -139 899 2026 4 MP stroke gr SO 24 24 899 2026 PO 24 24 1653 1887 PO 24 24 2407 1568 PO 24 24 3161 1364 PO 24 24 899 2026 FO 24 24 1653 1887 FO 24 24 2407 1568 FO 24 24 3161 1364 FO gs 899 389 2263 1784 MR c np DD 754 -169 754 -395 754 -258 899 1648 4 MP stroke gr DD SO 24 24 899 1648 PO 24 24 1653 1390 PO 24 24 2407 995 PO 24 24 3161 826 PO 24 24 899 1648 FO 24 24 1653 1390 FO 24 24 2407 995 FO 24 24 3161 826 FO DD gs 899 389 2263 1784 MR c np DO /c9 { 1.000000 0.000000 0.000000 sr} bdef c9 754 -66 754 -208 754 -375 899 1456 4 MP stroke gr c9 DO SO 0 -38 -38 0 0 38 38 0 880 1437 5 MP gs PP gr DP 0 -38 -38 0 0 38 38 0 1634 1062 5 MP gs PP gr DP 0 -38 -38 0 0 38 38 0 2388 854 5 MP gs PP gr DP 0 -38 -38 0 0 38 38 0 3142 788 5 MP gs PP gr DP DO gs 899 389 2263 1784 MR c np 754 0 754 0 754 0 899 605 4 MP stroke gr 0 sg %%IncludeResource: font Helvetica /Helvetica /ISOLatin1Encoding 144 FMSR 1076 289 mt (Attractive coupling \(0.25,0.25\)) s SO end eplot %%EndObject epage end showpage %%Trailer %%EOF %%EndDocument @endspecial 832 w @beginspecial 70 @llx 416 @lly 289 @urx 603 @ury 936 @rwi @setspecial %%BeginDocument: figures/err1.eps %!PS-Adobe-2.0 EPSF-1.2 %%Creator: MATLAB, The Mathworks, Inc. %%Title: /home/eecs/epxing/matlab/GMF/expNew11_more/err11.eps %%CreationDate: 06/01/2003 23:25:49 %%DocumentNeededFonts: Helvetica %%DocumentProcessColors: Cyan Magenta Yellow Black %%Extensions: CMYK %%Pages: 1 %%BoundingBox: 70 416 289 603 %%EndComments %%BeginProlog % MathWorks dictionary /MathWorks 160 dict begin % definition operators /bdef {bind def} bind def /ldef {load def} bind def /xdef {exch def} bdef /xstore {exch store} bdef % operator abbreviations /c /clip ldef /cc /concat ldef /cp /closepath ldef /gr /grestore ldef /gs /gsave ldef /mt /moveto ldef /np /newpath ldef /cm /currentmatrix ldef /sm /setmatrix ldef /rm /rmoveto ldef /rl /rlineto ldef /s /show ldef /sc {setcmykcolor} bdef /sr /setrgbcolor ldef /sg /setgray ldef /w /setlinewidth ldef /j /setlinejoin ldef /cap /setlinecap ldef /rc {rectclip} bdef /rf {rectfill} bdef % page state control /pgsv () def /bpage {/pgsv save def} bdef /epage {pgsv restore} bdef /bplot /gsave ldef /eplot {stroke grestore} bdef % orientation switch /portraitMode 0 def /landscapeMode 1 def /rotateMode 2 def % coordinate system mappings /dpi2point 0 def % font control /FontSize 0 def /FMS {/FontSize xstore findfont [FontSize 0 0 FontSize neg 0 0] makefont setfont} bdef /reencode {exch dup where {pop load} {pop StandardEncoding} ifelse exch dup 3 1 roll findfont dup length dict begin { 1 index /FID ne {def}{pop pop} ifelse } forall /Encoding exch def currentdict end definefont pop} bdef /isroman {findfont /CharStrings get /Agrave known} bdef /FMSR {3 1 roll 1 index dup isroman {reencode} {pop pop} ifelse exch FMS} bdef /csm {1 dpi2point div -1 dpi2point div scale neg translate dup landscapeMode eq {pop -90 rotate} {rotateMode eq {90 rotate} if} ifelse} bdef % line types: solid, dotted, dashed, dotdash /SO { [] 0 setdash } bdef /DO { [.5 dpi2point mul 4 dpi2point mul] 0 setdash } bdef /DA { [6 dpi2point mul] 0 setdash } bdef /DD { [.5 dpi2point mul 4 dpi2point mul 6 dpi2point mul 4 dpi2point mul] 0 setdash } bdef % macros for lines and objects /L {lineto stroke} bdef /MP {3 1 roll moveto 1 sub {rlineto} repeat} bdef /AP {{rlineto} repeat} bdef /PDlw -1 def /W {/PDlw currentlinewidth def setlinewidth} def /PP {closepath eofill} bdef /DP {closepath stroke} bdef /MR {4 -2 roll moveto dup 0 exch rlineto exch 0 rlineto neg 0 exch rlineto closepath} bdef /FR {MR stroke} bdef /PR {MR fill} bdef /L1i {{currentfile picstr readhexstring pop} image} bdef /tMatrix matrix def /MakeOval {newpath tMatrix currentmatrix pop translate scale 0 0 1 0 360 arc tMatrix setmatrix} bdef /FO {MakeOval stroke} bdef /PO {MakeOval fill} bdef /PD {currentlinewidth 2 div 0 360 arc fill PDlw -1 eq not {PDlw w /PDlw -1 def} if} def /FA {newpath tMatrix currentmatrix pop translate scale 0 0 1 5 -2 roll arc tMatrix setmatrix stroke} bdef /PA {newpath tMatrix currentmatrix pop translate 0 0 moveto scale 0 0 1 5 -2 roll arc closepath tMatrix setmatrix fill} bdef /FAn {newpath tMatrix currentmatrix pop translate scale 0 0 1 5 -2 roll arcn tMatrix setmatrix stroke} bdef /PAn {newpath tMatrix currentmatrix pop translate 0 0 moveto scale 0 0 1 5 -2 roll arcn closepath tMatrix setmatrix fill} bdef /vradius 0 def /hradius 0 def /lry 0 def /lrx 0 def /uly 0 def /ulx 0 def /rad 0 def /MRR {/vradius xdef /hradius xdef /lry xdef /lrx xdef /uly xdef /ulx xdef newpath tMatrix currentmatrix pop ulx hradius add uly vradius add translate hradius vradius scale 0 0 1 180 270 arc tMatrix setmatrix lrx hradius sub uly vradius add translate hradius vradius scale 0 0 1 270 360 arc tMatrix setmatrix lrx hradius sub lry vradius sub translate hradius vradius scale 0 0 1 0 90 arc tMatrix setmatrix ulx hradius add lry vradius sub translate hradius vradius scale 0 0 1 90 180 arc tMatrix setmatrix closepath} bdef /FRR {MRR stroke } bdef /PRR {MRR fill } bdef /MlrRR {/lry xdef /lrx xdef /uly xdef /ulx xdef /rad lry uly sub 2 div def newpath tMatrix currentmatrix pop ulx rad add uly rad add translate rad rad scale 0 0 1 90 270 arc tMatrix setmatrix lrx rad sub lry rad sub translate rad rad scale 0 0 1 270 90 arc tMatrix setmatrix closepath} bdef /FlrRR {MlrRR stroke } bdef /PlrRR {MlrRR fill } bdef /MtbRR {/lry xdef /lrx xdef /uly xdef /ulx xdef /rad lrx ulx sub 2 div def newpath tMatrix currentmatrix pop ulx rad add uly rad add translate rad rad scale 0 0 1 180 360 arc tMatrix setmatrix lrx rad sub lry rad sub translate rad rad scale 0 0 1 0 180 arc tMatrix setmatrix closepath} bdef /FtbRR {MtbRR stroke } bdef /PtbRR {MtbRR fill } bdef /stri 6 array def /dtri 6 array def /smat 6 array def /dmat 6 array def /tmat1 6 array def /tmat2 6 array def /dif 3 array def /asub {/ind2 exch def /ind1 exch def dup dup ind1 get exch ind2 get sub exch } bdef /tri_to_matrix { 2 0 asub 3 1 asub 4 0 asub 5 1 asub dup 0 get exch 1 get 7 -1 roll astore } bdef /compute_transform { dmat dtri tri_to_matrix tmat1 invertmatrix smat stri tri_to_matrix tmat2 concatmatrix } bdef /ds {stri astore pop} bdef /dt {dtri astore pop} bdef /db {2 copy /cols xdef /rows xdef mul dup 3 mul string currentfile exch readhexstring pop dup 0 3 index getinterval /rbmap xdef dup 2 index dup getinterval /gbmap xdef 1 index dup 2 mul exch getinterval /bbmap xdef pop pop}bdef /it {gs np dtri aload pop moveto lineto lineto cp c cols rows 8 compute_transform rbmap gbmap bbmap true 3 colorimage gr}bdef /il {newpath moveto lineto stroke}bdef currentdict end def %%EndProlog %%BeginSetup MathWorks begin 0 cap end %%EndSetup %%Page: 1 1 %%BeginPageSetup %%PageBoundingBox: 70 416 289 603 MathWorks begin bpage %%EndPageSetup %%BeginObject: obj1 bplot /dpi2point 12 def portraitMode 0216 7344 csm 631 106 2628 2239 MR c np 92 dict begin %Colortable dictionary /c0 { 0 0 0 sr} bdef /c1 { 1 1 1 sr} bdef /c2 { 1 0 0 sr} bdef /c3 { 0 1 0 sr} bdef /c4 { 0 0 1 sr} bdef /c5 { 1 1 0 sr} bdef /c6 { 1 0 1 sr} bdef /c7 { 0 1 1 sr} bdef c0 1 j 1 sg 0 0 6918 5185 PR 6 w 0 1783 2263 0 0 -1783 898 2171 4 MP PP -2263 0 0 1783 2263 0 0 -1783 898 2171 5 MP stroke 4 w DO SO 6 w 0 sg 898 2171 mt 3161 2171 L 898 388 mt 3161 388 L 898 2171 mt 898 388 L 3161 2171 mt 3161 388 L 898 2171 mt 3161 2171 L 898 2171 mt 898 388 L 898 2171 mt 898 2149 L 898 388 mt 898 411 L %%IncludeResource: font Helvetica /Helvetica /ISOLatin1Encoding 120 FMSR 865 2317 mt (3) s 1652 2171 mt 1652 2149 L 1652 388 mt 1652 411 L 1619 2317 mt (4) s 2407 2171 mt 2407 2149 L 2407 388 mt 2407 411 L 2374 2317 mt (6) s 3161 2171 mt 3161 2149 L 3161 388 mt 3161 411 L 3128 2317 mt (8) s 898 2171 mt 921 2171 L 3161 2171 mt 3138 2171 L 631 2215 mt (0.23) s 898 1280 mt 921 1280 L 3161 1280 mt 3138 1280 L 631 1324 mt (0.24) s 898 388 mt 921 388 L 3161 388 mt 3138 388 L 631 432 mt (0.25) s 898 2171 mt 3161 2171 L 898 388 mt 3161 388 L 898 2171 mt 898 388 L 3161 2171 mt 3161 388 L %%IncludeResource: font Helvetica /Helvetica /ISOLatin1Encoding 144 FMSR 1116 288 mt (Attractive coupling \(0.25,0.5\)) s gs 898 388 2264 1784 MR c np DA 754 -27 754 16 755 -73 898 811 4 MP stroke gr DA SO 0 j 24 31 -24 31 -24 -31 24 -31 898 842 5 MP gs PP gr DP 24 31 -24 31 -24 -31 24 -31 1653 769 5 MP gs PP gr DP 24 31 -24 31 -24 -31 24 -31 2407 785 5 MP gs PP gr DP 24 31 -24 31 -24 -31 24 -31 3161 758 5 MP gs PP gr DP DA gs 898 388 2264 1784 MR c np SO 754 -26 754 -12 755 -33 898 794 4 MP stroke gr SO 24 31 -24 31 -24 -31 24 -31 898 825 5 MP gs PP gr DP 24 31 -24 31 -24 -31 24 -31 1653 792 5 MP gs PP gr DP 24 31 -24 31 -24 -31 24 -31 2407 780 5 MP gs PP gr DP 24 31 -24 31 -24 -31 24 -31 3161 754 5 MP gs PP gr DP gs 898 388 2264 1784 MR c np DD 754 -33 754 -1 755 -52 898 813 4 MP stroke gr DD SO 24 31 -24 31 -24 -31 24 -31 898 844 5 MP gs PP gr DP 24 31 -24 31 -24 -31 24 -31 1653 792 5 MP gs PP gr DP 24 31 -24 31 -24 -31 24 -31 2407 791 5 MP gs PP gr DP 24 31 -24 31 -24 -31 24 -31 3161 758 5 MP gs PP gr DP DD gs 898 388 2264 1784 MR c np DA /c8 { 0.000000 0.000000 1.000000 sr} bdef c8 754 -50 754 -250 755 -89 898 1593 4 MP stroke gr c8 DA SO 24 24 898 1593 PO 24 24 1653 1504 PO 24 24 2407 1254 PO 24 24 3161 1204 PO 24 24 898 1593 FO 24 24 1653 1504 FO 24 24 2407 1254 FO 24 24 3161 1204 FO DA gs 898 388 2264 1784 MR c np SO 754 -161 754 -248 755 -80 898 1798 4 MP stroke gr SO 24 24 898 1798 PO 24 24 1653 1718 PO 24 24 2407 1470 PO 24 24 3161 1309 PO 24 24 898 1798 FO 24 24 1653 1718 FO 24 24 2407 1470 FO 24 24 3161 1309 FO gs 898 388 2264 1784 MR c np DD 754 -53 754 -234 755 -188 898 1419 4 MP stroke gr DD SO 24 24 898 1419 PO 24 24 1653 1231 PO 24 24 2407 997 PO 24 24 3161 944 PO 24 24 898 1419 FO 24 24 1653 1231 FO 24 24 2407 997 FO 24 24 3161 944 FO DD gs 898 388 2264 1784 MR c np DO /c9 { 1.000000 0.000000 0.000000 sr} bdef c9 754 0 754 -152 755 -90 898 1064 4 MP stroke gr c9 DO SO 0 -38 -38 0 0 38 38 0 879 1045 5 MP gs PP gr DP 0 -38 -38 0 0 38 38 0 1634 955 5 MP gs PP gr DP 0 -38 -38 0 0 38 38 0 2388 803 5 MP gs PP gr DP 0 -38 -38 0 0 38 38 0 3142 803 5 MP gs PP gr DP DO gs 898 388 2264 1784 MR c np 754 0 754 0 755 0 898 722 4 MP stroke SO gr SO end eplot %%EndObject epage end showpage %%Trailer %%EOF %%EndDocument @endspecial 833 w @beginspecial 70 @llx 416 @lly 289 @urx 603 @ury 936 @rwi @setspecial %%BeginDocument: figures/err2.eps %!PS-Adobe-2.0 EPSF-1.2 %%Creator: MATLAB, The Mathworks, Inc. %%Title: /home/eecs/epxing/matlab/GMF/fig/err2.eps %%CreationDate: 06/02/2003 15:06:10 %%DocumentNeededFonts: Helvetica %%DocumentProcessColors: Cyan Magenta Yellow Black %%Extensions: CMYK %%Pages: 1 %%BoundingBox: 70 416 289 603 %%EndComments %%BeginProlog % MathWorks dictionary /MathWorks 160 dict begin % definition operators /bdef {bind def} bind def /ldef {load def} bind def /xdef {exch def} bdef /xstore {exch store} bdef % operator abbreviations /c /clip ldef /cc /concat ldef /cp /closepath ldef /gr /grestore ldef /gs /gsave ldef /mt /moveto ldef /np /newpath ldef /cm /currentmatrix ldef /sm /setmatrix ldef /rm /rmoveto ldef /rl /rlineto ldef /s /show ldef /sc {setcmykcolor} bdef /sr /setrgbcolor ldef /sg /setgray ldef /w /setlinewidth ldef /j /setlinejoin ldef /cap /setlinecap ldef /rc {rectclip} bdef /rf {rectfill} bdef % page state control /pgsv () def /bpage {/pgsv save def} bdef /epage {pgsv restore} bdef /bplot /gsave ldef /eplot {stroke grestore} bdef % orientation switch /portraitMode 0 def /landscapeMode 1 def /rotateMode 2 def % coordinate system mappings /dpi2point 0 def % font control /FontSize 0 def /FMS {/FontSize xstore findfont [FontSize 0 0 FontSize neg 0 0] makefont setfont} bdef /reencode {exch dup where {pop load} {pop StandardEncoding} ifelse exch dup 3 1 roll findfont dup length dict begin { 1 index /FID ne {def}{pop pop} ifelse } forall /Encoding exch def currentdict end definefont pop} bdef /isroman {findfont /CharStrings get /Agrave known} bdef /FMSR {3 1 roll 1 index dup isroman {reencode} {pop pop} ifelse exch FMS} bdef /csm {1 dpi2point div -1 dpi2point div scale neg translate dup landscapeMode eq {pop -90 rotate} {rotateMode eq {90 rotate} if} ifelse} bdef % line types: solid, dotted, dashed, dotdash /SO { [] 0 setdash } bdef /DO { [.5 dpi2point mul 4 dpi2point mul] 0 setdash } bdef /DA { [6 dpi2point mul] 0 setdash } bdef /DD { [.5 dpi2point mul 4 dpi2point mul 6 dpi2point mul 4 dpi2point mul] 0 setdash } bdef % macros for lines and objects /L {lineto stroke} bdef /MP {3 1 roll moveto 1 sub {rlineto} repeat} bdef /AP {{rlineto} repeat} bdef /PDlw -1 def /W {/PDlw currentlinewidth def setlinewidth} def /PP {closepath eofill} bdef /DP {closepath stroke} bdef /MR {4 -2 roll moveto dup 0 exch rlineto exch 0 rlineto neg 0 exch rlineto closepath} bdef /FR {MR stroke} bdef /PR {MR fill} bdef /L1i {{currentfile picstr readhexstring pop} image} bdef /tMatrix matrix def /MakeOval {newpath tMatrix currentmatrix pop translate scale 0 0 1 0 360 arc tMatrix setmatrix} bdef /FO {MakeOval stroke} bdef /PO {MakeOval fill} bdef /PD {currentlinewidth 2 div 0 360 arc fill PDlw -1 eq not {PDlw w /PDlw -1 def} if} def /FA {newpath tMatrix currentmatrix pop translate scale 0 0 1 5 -2 roll arc tMatrix setmatrix stroke} bdef /PA {newpath tMatrix currentmatrix pop translate 0 0 moveto scale 0 0 1 5 -2 roll arc closepath tMatrix setmatrix fill} bdef /FAn {newpath tMatrix currentmatrix pop translate scale 0 0 1 5 -2 roll arcn tMatrix setmatrix stroke} bdef /PAn {newpath tMatrix currentmatrix pop translate 0 0 moveto scale 0 0 1 5 -2 roll arcn closepath tMatrix setmatrix fill} bdef /vradius 0 def /hradius 0 def /lry 0 def /lrx 0 def /uly 0 def /ulx 0 def /rad 0 def /MRR {/vradius xdef /hradius xdef /lry xdef /lrx xdef /uly xdef /ulx xdef newpath tMatrix currentmatrix pop ulx hradius add uly vradius add translate hradius vradius scale 0 0 1 180 270 arc tMatrix setmatrix lrx hradius sub uly vradius add translate hradius vradius scale 0 0 1 270 360 arc tMatrix setmatrix lrx hradius sub lry vradius sub translate hradius vradius scale 0 0 1 0 90 arc tMatrix setmatrix ulx hradius add lry vradius sub translate hradius vradius scale 0 0 1 90 180 arc tMatrix setmatrix closepath} bdef /FRR {MRR stroke } bdef /PRR {MRR fill } bdef /MlrRR {/lry xdef /lrx xdef /uly xdef /ulx xdef /rad lry uly sub 2 div def newpath tMatrix currentmatrix pop ulx rad add uly rad add translate rad rad scale 0 0 1 90 270 arc tMatrix setmatrix lrx rad sub lry rad sub translate rad rad scale 0 0 1 270 90 arc tMatrix setmatrix closepath} bdef /FlrRR {MlrRR stroke } bdef /PlrRR {MlrRR fill } bdef /MtbRR {/lry xdef /lrx xdef /uly xdef /ulx xdef /rad lrx ulx sub 2 div def newpath tMatrix currentmatrix pop ulx rad add uly rad add translate rad rad scale 0 0 1 180 360 arc tMatrix setmatrix lrx rad sub lry rad sub translate rad rad scale 0 0 1 0 180 arc tMatrix setmatrix closepath} bdef /FtbRR {MtbRR stroke } bdef /PtbRR {MtbRR fill } bdef /stri 6 array def /dtri 6 array def /smat 6 array def /dmat 6 array def /tmat1 6 array def /tmat2 6 array def /dif 3 array def /asub {/ind2 exch def /ind1 exch def dup dup ind1 get exch ind2 get sub exch } bdef /tri_to_matrix { 2 0 asub 3 1 asub 4 0 asub 5 1 asub dup 0 get exch 1 get 7 -1 roll astore } bdef /compute_transform { dmat dtri tri_to_matrix tmat1 invertmatrix smat stri tri_to_matrix tmat2 concatmatrix } bdef /ds {stri astore pop} bdef /dt {dtri astore pop} bdef /db {2 copy /cols xdef /rows xdef mul dup 3 mul string currentfile exch readhexstring pop dup 0 3 index getinterval /rbmap xdef dup 2 index dup getinterval /gbmap xdef 1 index dup 2 mul exch getinterval /bbmap xdef pop pop}bdef /it {gs np dtri aload pop moveto lineto lineto cp c cols rows 8 compute_transform rbmap gbmap bbmap true 3 colorimage gr}bdef /il {newpath moveto lineto stroke}bdef currentdict end def %%EndProlog %%BeginSetup MathWorks begin 0 cap end %%EndSetup %%Page: 1 1 %%BeginPageSetup %%PageBoundingBox: 70 416 289 603 MathWorks begin bpage %%EndPageSetup %%BeginObject: obj1 bplot /dpi2point 12 def portraitMode 0216 7344 csm 631 106 2628 2239 MR c np 92 dict begin %Colortable dictionary /c0 { 0 0 0 sr} bdef /c1 { 1 1 1 sr} bdef /c2 { 1 0 0 sr} bdef /c3 { 0 1 0 sr} bdef /c4 { 0 0 1 sr} bdef /c5 { 1 1 0 sr} bdef /c6 { 1 0 1 sr} bdef /c7 { 0 1 1 sr} bdef c0 1 j 1 sg 0 0 6917 5185 PR 6 w 0 1783 2262 0 0 -1783 899 2171 4 MP PP -2262 0 0 1783 2262 0 0 -1783 899 2171 5 MP stroke 4 w DO SO 6 w 0 sg 899 2171 mt 3161 2171 L 899 388 mt 3161 388 L 899 2171 mt 899 388 L 3161 2171 mt 3161 388 L 899 2171 mt 3161 2171 L 899 2171 mt 899 388 L 899 2171 mt 899 2149 L 899 388 mt 899 411 L %%IncludeResource: font Helvetica /Helvetica /ISOLatin1Encoding 120 FMSR 866 2317 mt (3) s 1653 2171 mt 1653 2149 L 1653 388 mt 1653 411 L 1620 2317 mt (4) s 2407 2171 mt 2407 2149 L 2407 388 mt 2407 411 L 2374 2317 mt (6) s 3161 2171 mt 3161 2149 L 3161 388 mt 3161 411 L 3128 2317 mt (8) s 899 1647 mt 921 1647 L 3161 1647 mt 3138 1647 L 631 1691 mt (0.23) s 899 598 mt 921 598 L 3161 598 mt 3138 598 L 631 642 mt (0.24) s 899 2171 mt 3161 2171 L 899 388 mt 3161 388 L 899 2171 mt 899 388 L 3161 2171 mt 3161 388 L gs 899 388 2263 1784 MR c np DA 754 24 754 -21 754 -287 899 987 4 MP stroke gr DA SO 0 j 24 31 -24 31 -24 -31 24 -31 899 1018 5 MP gs PP gr DP 24 31 -24 31 -24 -31 24 -31 1653 731 5 MP gs PP gr DP 24 31 -24 31 -24 -31 24 -31 2407 710 5 MP gs PP gr DP 24 31 -24 31 -24 -31 24 -31 3161 734 5 MP gs PP gr DP DA gs 899 388 2263 1784 MR c np SO 754 -40 754 7 754 -134 899 832 4 MP stroke gr SO 24 31 -24 31 -24 -31 24 -31 899 863 5 MP gs PP gr DP 24 31 -24 31 -24 -31 24 -31 1653 729 5 MP gs PP gr DP 24 31 -24 31 -24 -31 24 -31 2407 736 5 MP gs PP gr DP 24 31 -24 31 -24 -31 24 -31 3161 696 5 MP gs PP gr DP gs 899 388 2263 1784 MR c np DD 754 -43 754 -66 754 -126 899 1006 4 MP stroke gr DD SO 24 31 -24 31 -24 -31 24 -31 899 1037 5 MP gs PP gr DP 24 31 -24 31 -24 -31 24 -31 1653 911 5 MP gs PP gr DP 24 31 -24 31 -24 -31 24 -31 2407 845 5 MP gs PP gr DP 24 31 -24 31 -24 -31 24 -31 3161 802 5 MP gs PP gr DP DD gs 899 388 2263 1784 MR c np DA /c8 { 0.000000 0.000000 1.000000 sr} bdef c8 754 -216 754 -389 754 -126 899 1775 4 MP stroke gr c8 DA SO 24 24 899 1775 PO 24 24 1653 1649 PO 24 24 2407 1260 PO 24 24 3161 1044 PO 24 24 899 1775 FO 24 24 1653 1649 FO 24 24 2407 1260 FO 24 24 3161 1044 FO DA gs 899 388 2263 1784 MR c np SO 754 -142 754 -285 754 -209 899 1921 4 MP stroke gr SO 24 24 899 1921 PO 24 24 1653 1712 PO 24 24 2407 1427 PO 24 24 3161 1285 PO 24 24 899 1921 FO 24 24 1653 1712 FO 24 24 2407 1427 FO 24 24 3161 1285 FO gs 899 388 2263 1784 MR c np DD 754 -126 754 -120 754 -407 899 1433 4 MP stroke gr DD SO 24 24 899 1433 PO 24 24 1653 1026 PO 24 24 2407 906 PO 24 24 3161 780 PO 24 24 899 1433 FO 24 24 1653 1026 FO 24 24 2407 906 FO 24 24 3161 780 FO DD gs 899 388 2263 1784 MR c np DO /c9 { 1.000000 0.000000 0.000000 sr} bdef c9 754 166 754 -355 754 8 899 1167 4 MP stroke gr c9 DO SO 0 -38 -38 0 0 38 38 0 880 1148 5 MP gs PP gr DP 0 -38 -38 0 0 38 38 0 1634 1156 5 MP gs PP gr DP 0 -38 -38 0 0 38 38 0 2388 801 5 MP gs PP gr DP 0 -38 -38 0 0 38 38 0 3142 967 5 MP gs PP gr DP DO gs 899 388 2263 1784 MR c np 754 0 754 0 754 0 899 660 4 MP stroke gr 0 sg %%IncludeResource: font Helvetica /Helvetica /ISOLatin1Encoding 144 FMSR 1176 288 mt (Attractive coupling \(0.25,1\)) s SO end eplot %%EndObject epage end showpage %%Trailer %%EOF %%EndDocument @endspecial 357 1359 a @beginspecial 76 @llx 416 @lly 289 @urx 600 @ury 936 @rwi @setspecial %%BeginDocument: figures/err51.eps %!PS-Adobe-2.0 EPSF-1.2 %%Creator: MATLAB, The Mathworks, Inc. %%Title: /home/eecs/epxing/matlab/GMF/err51.eps %%CreationDate: 06/01/2003 23:40:44 %%DocumentNeededFonts: Helvetica %%DocumentProcessColors: Cyan Magenta Yellow Black %%Extensions: CMYK %%Pages: 1 %%BoundingBox: 76 416 289 600 %%EndComments %%BeginProlog % MathWorks dictionary /MathWorks 160 dict begin % definition operators /bdef {bind def} bind def /ldef {load def} bind def /xdef {exch def} bdef /xstore {exch store} bdef % operator abbreviations /c /clip ldef /cc /concat ldef /cp /closepath ldef /gr /grestore ldef /gs /gsave ldef /mt /moveto ldef /np /newpath ldef /cm /currentmatrix ldef /sm /setmatrix ldef /rm /rmoveto ldef /rl /rlineto ldef /s /show ldef /sc {setcmykcolor} bdef /sr /setrgbcolor ldef /sg /setgray ldef /w /setlinewidth ldef /j /setlinejoin ldef /cap /setlinecap ldef /rc {rectclip} bdef /rf {rectfill} bdef % page state control /pgsv () def /bpage {/pgsv save def} bdef /epage {pgsv restore} bdef /bplot /gsave ldef /eplot {stroke grestore} bdef % orientation switch /portraitMode 0 def /landscapeMode 1 def /rotateMode 2 def % coordinate system mappings /dpi2point 0 def % font control /FontSize 0 def /FMS {/FontSize xstore findfont [FontSize 0 0 FontSize neg 0 0] makefont setfont} bdef /reencode {exch dup where {pop load} {pop StandardEncoding} ifelse exch dup 3 1 roll findfont dup length dict begin { 1 index /FID ne {def}{pop pop} ifelse } forall /Encoding exch def currentdict end definefont pop} bdef /isroman {findfont /CharStrings get /Agrave known} bdef /FMSR {3 1 roll 1 index dup isroman {reencode} {pop pop} ifelse exch FMS} bdef /csm {1 dpi2point div -1 dpi2point div scale neg translate dup landscapeMode eq {pop -90 rotate} {rotateMode eq {90 rotate} if} ifelse} bdef % line types: solid, dotted, dashed, dotdash /SO { [] 0 setdash } bdef /DO { [.5 dpi2point mul 4 dpi2point mul] 0 setdash } bdef /DA { [6 dpi2point mul] 0 setdash } bdef /DD { [.5 dpi2point mul 4 dpi2point mul 6 dpi2point mul 4 dpi2point mul] 0 setdash } bdef % macros for lines and objects /L {lineto stroke} bdef /MP {3 1 roll moveto 1 sub {rlineto} repeat} bdef /AP {{rlineto} repeat} bdef /PDlw -1 def /W {/PDlw currentlinewidth def setlinewidth} def /PP {closepath eofill} bdef /DP {closepath stroke} bdef /MR {4 -2 roll moveto dup 0 exch rlineto exch 0 rlineto neg 0 exch rlineto closepath} bdef /FR {MR stroke} bdef /PR {MR fill} bdef /L1i {{currentfile picstr readhexstring pop} image} bdef /tMatrix matrix def /MakeOval {newpath tMatrix currentmatrix pop translate scale 0 0 1 0 360 arc tMatrix setmatrix} bdef /FO {MakeOval stroke} bdef /PO {MakeOval fill} bdef /PD {currentlinewidth 2 div 0 360 arc fill PDlw -1 eq not {PDlw w /PDlw -1 def} if} def /FA {newpath tMatrix currentmatrix pop translate scale 0 0 1 5 -2 roll arc tMatrix setmatrix stroke} bdef /PA {newpath tMatrix currentmatrix pop translate 0 0 moveto scale 0 0 1 5 -2 roll arc closepath tMatrix setmatrix fill} bdef /FAn {newpath tMatrix currentmatrix pop translate scale 0 0 1 5 -2 roll arcn tMatrix setmatrix stroke} bdef /PAn {newpath tMatrix currentmatrix pop translate 0 0 moveto scale 0 0 1 5 -2 roll arcn closepath tMatrix setmatrix fill} bdef /vradius 0 def /hradius 0 def /lry 0 def /lrx 0 def /uly 0 def /ulx 0 def /rad 0 def /MRR {/vradius xdef /hradius xdef /lry xdef /lrx xdef /uly xdef /ulx xdef newpath tMatrix currentmatrix pop ulx hradius add uly vradius add translate hradius vradius scale 0 0 1 180 270 arc tMatrix setmatrix lrx hradius sub uly vradius add translate hradius vradius scale 0 0 1 270 360 arc tMatrix setmatrix lrx hradius sub lry vradius sub translate hradius vradius scale 0 0 1 0 90 arc tMatrix setmatrix ulx hradius add lry vradius sub translate hradius vradius scale 0 0 1 90 180 arc tMatrix setmatrix closepath} bdef /FRR {MRR stroke } bdef /PRR {MRR fill } bdef /MlrRR {/lry xdef /lrx xdef /uly xdef /ulx xdef /rad lry uly sub 2 div def newpath tMatrix currentmatrix pop ulx rad add uly rad add translate rad rad scale 0 0 1 90 270 arc tMatrix setmatrix lrx rad sub lry rad sub translate rad rad scale 0 0 1 270 90 arc tMatrix setmatrix closepath} bdef /FlrRR {MlrRR stroke } bdef /PlrRR {MlrRR fill } bdef /MtbRR {/lry xdef /lrx xdef /uly xdef /ulx xdef /rad lrx ulx sub 2 div def newpath tMatrix currentmatrix pop ulx rad add uly rad add translate rad rad scale 0 0 1 180 360 arc tMatrix setmatrix lrx rad sub lry rad sub translate rad rad scale 0 0 1 0 180 arc tMatrix setmatrix closepath} bdef /FtbRR {MtbRR stroke } bdef /PtbRR {MtbRR fill } bdef /stri 6 array def /dtri 6 array def /smat 6 array def /dmat 6 array def /tmat1 6 array def /tmat2 6 array def /dif 3 array def /asub {/ind2 exch def /ind1 exch def dup dup ind1 get exch ind2 get sub exch } bdef /tri_to_matrix { 2 0 asub 3 1 asub 4 0 asub 5 1 asub dup 0 get exch 1 get 7 -1 roll astore } bdef /compute_transform { dmat dtri tri_to_matrix tmat1 invertmatrix smat stri tri_to_matrix tmat2 concatmatrix } bdef /ds {stri astore pop} bdef /dt {dtri astore pop} bdef /db {2 copy /cols xdef /rows xdef mul dup 3 mul string currentfile exch readhexstring pop dup 0 3 index getinterval /rbmap xdef dup 2 index dup getinterval /gbmap xdef 1 index dup 2 mul exch getinterval /bbmap xdef pop pop}bdef /it {gs np dtri aload pop moveto lineto lineto cp c cols rows 8 compute_transform rbmap gbmap bbmap true 3 colorimage gr}bdef /il {newpath moveto lineto stroke}bdef currentdict end def %%EndProlog %%BeginSetup MathWorks begin 0 cap end %%EndSetup %%Page: 1 1 %%BeginPageSetup %%PageBoundingBox: 76 416 289 600 MathWorks begin bpage %%EndPageSetup %%BeginObject: obj1 bplot /dpi2point 12 def portraitMode 0216 7344 csm 698 135 2561 2210 MR c np 92 dict begin %Colortable dictionary /c0 { 0 0 0 sr} bdef /c1 { 1 1 1 sr} bdef /c2 { 1 0 0 sr} bdef /c3 { 0 1 0 sr} bdef /c4 { 0 0 1 sr} bdef /c5 { 1 1 0 sr} bdef /c6 { 1 0 1 sr} bdef /c7 { 0 1 1 sr} bdef c0 1 j 1 sg 0 0 6918 5185 PR 6 w 0 1783 2262 0 0 -1783 899 2172 4 MP PP -2262 0 0 1783 2262 0 0 -1783 899 2172 5 MP stroke 4 w DO SO 6 w 0 sg 899 2172 mt 3161 2172 L 899 389 mt 3161 389 L 899 2172 mt 899 389 L 3161 2172 mt 3161 389 L 899 2172 mt 3161 2172 L 899 2172 mt 899 389 L 899 2172 mt 899 2149 L 899 389 mt 899 411 L %%IncludeResource: font Helvetica /Helvetica /ISOLatin1Encoding 120 FMSR 866 2317 mt (3) s 1653 2172 mt 1653 2149 L 1653 389 mt 1653 411 L 1620 2317 mt (4) s 2407 2172 mt 2407 2149 L 2407 389 mt 2407 411 L 2374 2317 mt (6) s 3161 2172 mt 3161 2149 L 3161 389 mt 3161 411 L 3128 2317 mt (8) s 899 1881 mt 921 1881 L 3161 1881 mt 3138 1881 L 698 1925 mt (0.8) s 899 1579 mt 921 1579 L 3161 1579 mt 3138 1579 L 798 1623 mt (1) s 899 1276 mt 921 1276 L 3161 1276 mt 3138 1276 L 698 1320 mt (1.2) s 899 973 mt 921 973 L 3161 973 mt 3138 973 L 698 1017 mt (1.4) s 899 671 mt 921 671 L 3161 671 mt 3138 671 L 698 715 mt (1.6) s 899 335 mt (x 10) s %%IncludeResource: font Helvetica /Helvetica /ISOLatin1Encoding 80 FMSR 1125 261 mt (-3) s 899 2172 mt 3161 2172 L 899 389 mt 3161 389 L 899 2172 mt 899 389 L 3161 2172 mt 3161 389 L gs 899 389 2263 1784 MR c np DA 754 -67 754 -7 754 -153 899 754 4 MP stroke gr DA SO 0 j 24 31 -24 31 -24 -31 24 -31 899 785 5 MP gs PP gr DP 24 31 -24 31 -24 -31 24 -31 1653 632 5 MP gs PP gr DP 24 31 -24 31 -24 -31 24 -31 2407 625 5 MP gs PP gr DP 24 31 -24 31 -24 -31 24 -31 3161 558 5 MP gs PP gr DP DA gs 899 389 2263 1784 MR c np SO 754 -28 754 -55 754 -131 899 738 4 MP stroke gr SO 24 31 -24 31 -24 -31 24 -31 899 769 5 MP gs PP gr DP 24 31 -24 31 -24 -31 24 -31 1653 638 5 MP gs PP gr DP 24 31 -24 31 -24 -31 24 -31 2407 583 5 MP gs PP gr DP 24 31 -24 31 -24 -31 24 -31 3161 555 5 MP gs PP gr DP gs 899 389 2263 1784 MR c np DD 754 -71 754 12 754 -247 899 861 4 MP stroke gr DD SO 24 31 -24 31 -24 -31 24 -31 899 892 5 MP gs PP gr DP 24 31 -24 31 -24 -31 24 -31 1653 645 5 MP gs PP gr DP 24 31 -24 31 -24 -31 24 -31 2407 657 5 MP gs PP gr DP 24 31 -24 31 -24 -31 24 -31 3161 586 5 MP gs PP gr DP DD gs 899 389 2263 1784 MR c np DA /c8 { 0.000000 0.000000 1.000000 sr} bdef c8 754 -182 754 -378 754 -206 899 1945 4 MP stroke gr c8 DA SO 24 24 899 1945 PO 24 24 1653 1739 PO 24 24 2407 1361 PO 24 24 3161 1179 PO 24 24 899 1945 FO 24 24 1653 1739 FO 24 24 2407 1361 FO 24 24 3161 1179 FO DA gs 899 389 2263 1784 MR c np SO 754 -255 754 -206 754 -211 899 2123 4 MP stroke gr SO 24 24 899 2123 PO 24 24 1653 1912 PO 24 24 2407 1706 PO 24 24 3161 1451 PO 24 24 899 2123 FO 24 24 1653 1912 FO 24 24 2407 1706 FO 24 24 3161 1451 FO gs 899 389 2263 1784 MR c np DD 754 -198 754 -354 754 -291 899 1683 4 MP stroke gr DD SO 24 24 899 1683 PO 24 24 1653 1392 PO 24 24 2407 1038 PO 24 24 3161 840 PO 24 24 899 1683 FO 24 24 1653 1392 FO 24 24 2407 1038 FO 24 24 3161 840 FO DD gs 899 389 2263 1784 MR c np DO /c9 { 1.000000 0.000000 0.000000 sr} bdef c9 754 -293 754 -230 754 -95 899 1302 4 MP stroke gr c9 DO SO 0 -38 -38 0 0 38 38 0 880 1283 5 MP gs PP gr DP 0 -38 -38 0 0 38 38 0 1634 1188 5 MP gs PP gr DP 0 -38 -38 0 0 38 38 0 2388 958 5 MP gs PP gr DP 0 -38 -38 0 0 38 38 0 3142 665 5 MP gs PP gr DP DO gs 899 389 2263 1784 MR c np 754 0 754 0 754 0 899 517 4 MP stroke gr 0 sg %%IncludeResource: font Helvetica /Helvetica /ISOLatin1Encoding 144 FMSR 1237 317 mt (Repulsive coupling \(0.25,0.12\)) s SO end eplot %%EndObject epage end showpage %%Trailer %%EOF %%EndDocument @endspecial 833 w @beginspecial 78 @llx 416 @lly 291 @urx 601 @ury 936 @rwi @setspecial %%BeginDocument: figures/err31.eps %!PS-Adobe-2.0 EPSF-1.2 %%Creator: MATLAB, The Mathworks, Inc. %%Title: /home/eecs/epxing/matlab/GMF/err31.eps %%CreationDate: 06/01/2003 23:37:50 %%DocumentNeededFonts: Helvetica %%DocumentProcessColors: Cyan Magenta Yellow Black %%Extensions: CMYK %%Pages: 1 %%BoundingBox: 78 416 291 601 %%EndComments %%BeginProlog % MathWorks dictionary /MathWorks 160 dict begin % definition operators /bdef {bind def} bind def /ldef {load def} bind def /xdef {exch def} bdef /xstore {exch store} bdef % operator abbreviations /c /clip ldef /cc /concat ldef /cp /closepath ldef /gr /grestore ldef /gs /gsave ldef /mt /moveto ldef /np /newpath ldef /cm /currentmatrix ldef /sm /setmatrix ldef /rm /rmoveto ldef /rl /rlineto ldef /s /show ldef /sc {setcmykcolor} bdef /sr /setrgbcolor ldef /sg /setgray ldef /w /setlinewidth ldef /j /setlinejoin ldef /cap /setlinecap ldef /rc {rectclip} bdef /rf {rectfill} bdef % page state control /pgsv () def /bpage {/pgsv save def} bdef /epage {pgsv restore} bdef /bplot /gsave ldef /eplot {stroke grestore} bdef % orientation switch /portraitMode 0 def /landscapeMode 1 def /rotateMode 2 def % coordinate system mappings /dpi2point 0 def % font control /FontSize 0 def /FMS {/FontSize xstore findfont [FontSize 0 0 FontSize neg 0 0] makefont setfont} bdef /reencode {exch dup where {pop load} {pop StandardEncoding} ifelse exch dup 3 1 roll findfont dup length dict begin { 1 index /FID ne {def}{pop pop} ifelse } forall /Encoding exch def currentdict end definefont pop} bdef /isroman {findfont /CharStrings get /Agrave known} bdef /FMSR {3 1 roll 1 index dup isroman {reencode} {pop pop} ifelse exch FMS} bdef /csm {1 dpi2point div -1 dpi2point div scale neg translate dup landscapeMode eq {pop -90 rotate} {rotateMode eq {90 rotate} if} ifelse} bdef % line types: solid, dotted, dashed, dotdash /SO { [] 0 setdash } bdef /DO { [.5 dpi2point mul 4 dpi2point mul] 0 setdash } bdef /DA { [6 dpi2point mul] 0 setdash } bdef /DD { [.5 dpi2point mul 4 dpi2point mul 6 dpi2point mul 4 dpi2point mul] 0 setdash } bdef % macros for lines and objects /L {lineto stroke} bdef /MP {3 1 roll moveto 1 sub {rlineto} repeat} bdef /AP {{rlineto} repeat} bdef /PDlw -1 def /W {/PDlw currentlinewidth def setlinewidth} def /PP {closepath eofill} bdef /DP {closepath stroke} bdef /MR {4 -2 roll moveto dup 0 exch rlineto exch 0 rlineto neg 0 exch rlineto closepath} bdef /FR {MR stroke} bdef /PR {MR fill} bdef /L1i {{currentfile picstr readhexstring pop} image} bdef /tMatrix matrix def /MakeOval {newpath tMatrix currentmatrix pop translate scale 0 0 1 0 360 arc tMatrix setmatrix} bdef /FO {MakeOval stroke} bdef /PO {MakeOval fill} bdef /PD {currentlinewidth 2 div 0 360 arc fill PDlw -1 eq not {PDlw w /PDlw -1 def} if} def /FA {newpath tMatrix currentmatrix pop translate scale 0 0 1 5 -2 roll arc tMatrix setmatrix stroke} bdef /PA {newpath tMatrix currentmatrix pop translate 0 0 moveto scale 0 0 1 5 -2 roll arc closepath tMatrix setmatrix fill} bdef /FAn {newpath tMatrix currentmatrix pop translate scale 0 0 1 5 -2 roll arcn tMatrix setmatrix stroke} bdef /PAn {newpath tMatrix currentmatrix pop translate 0 0 moveto scale 0 0 1 5 -2 roll arcn closepath tMatrix setmatrix fill} bdef /vradius 0 def /hradius 0 def /lry 0 def /lrx 0 def /uly 0 def /ulx 0 def /rad 0 def /MRR {/vradius xdef /hradius xdef /lry xdef /lrx xdef /uly xdef /ulx xdef newpath tMatrix currentmatrix pop ulx hradius add uly vradius add translate hradius vradius scale 0 0 1 180 270 arc tMatrix setmatrix lrx hradius sub uly vradius add translate hradius vradius scale 0 0 1 270 360 arc tMatrix setmatrix lrx hradius sub lry vradius sub translate hradius vradius scale 0 0 1 0 90 arc tMatrix setmatrix ulx hradius add lry vradius sub translate hradius vradius scale 0 0 1 90 180 arc tMatrix setmatrix closepath} bdef /FRR {MRR stroke } bdef /PRR {MRR fill } bdef /MlrRR {/lry xdef /lrx xdef /uly xdef /ulx xdef /rad lry uly sub 2 div def newpath tMatrix currentmatrix pop ulx rad add uly rad add translate rad rad scale 0 0 1 90 270 arc tMatrix setmatrix lrx rad sub lry rad sub translate rad rad scale 0 0 1 270 90 arc tMatrix setmatrix closepath} bdef /FlrRR {MlrRR stroke } bdef /PlrRR {MlrRR fill } bdef /MtbRR {/lry xdef /lrx xdef /uly xdef /ulx xdef /rad lrx ulx sub 2 div def newpath tMatrix currentmatrix pop ulx rad add uly rad add translate rad rad scale 0 0 1 180 360 arc tMatrix setmatrix lrx rad sub lry rad sub translate rad rad scale 0 0 1 0 180 arc tMatrix setmatrix closepath} bdef /FtbRR {MtbRR stroke } bdef /PtbRR {MtbRR fill } bdef /stri 6 array def /dtri 6 array def /smat 6 array def /dmat 6 array def /tmat1 6 array def /tmat2 6 array def /dif 3 array def /asub {/ind2 exch def /ind1 exch def dup dup ind1 get exch ind2 get sub exch } bdef /tri_to_matrix { 2 0 asub 3 1 asub 4 0 asub 5 1 asub dup 0 get exch 1 get 7 -1 roll astore } bdef /compute_transform { dmat dtri tri_to_matrix tmat1 invertmatrix smat stri tri_to_matrix tmat2 concatmatrix } bdef /ds {stri astore pop} bdef /dt {dtri astore pop} bdef /db {2 copy /cols xdef /rows xdef mul dup 3 mul string currentfile exch readhexstring pop dup 0 3 index getinterval /rbmap xdef dup 2 index dup getinterval /gbmap xdef 1 index dup 2 mul exch getinterval /bbmap xdef pop pop}bdef /it {gs np dtri aload pop moveto lineto lineto cp c cols rows 8 compute_transform rbmap gbmap bbmap true 3 colorimage gr}bdef /il {newpath moveto lineto stroke}bdef currentdict end def %%EndProlog %%BeginSetup MathWorks begin 0 cap end %%EndSetup %%Page: 1 1 %%BeginPageSetup %%PageBoundingBox: 78 416 291 601 MathWorks begin bpage %%EndPageSetup %%BeginObject: obj1 bplot /dpi2point 12 def portraitMode 0216 7344 csm 731 121 2548 2224 MR c np 92 dict begin %Colortable dictionary /c0 { 0 0 0 sr} bdef /c1 { 1 1 1 sr} bdef /c2 { 1 0 0 sr} bdef /c3 { 0 1 0 sr} bdef /c4 { 0 0 1 sr} bdef /c5 { 1 1 0 sr} bdef /c6 { 1 0 1 sr} bdef /c7 { 0 1 1 sr} bdef c0 1 j 1 sg 0 0 6918 5185 PR 6 w 0 1784 2262 0 0 -1784 899 2172 4 MP PP -2262 0 0 1784 2262 0 0 -1784 899 2172 5 MP stroke 4 w DO SO 6 w 0 sg 899 2172 mt 3161 2172 L 899 388 mt 3161 388 L 899 2172 mt 899 388 L 3161 2172 mt 3161 388 L 899 2172 mt 3161 2172 L 899 2172 mt 899 388 L 899 2172 mt 899 2149 L 899 389 mt 899 411 L %%IncludeResource: font Helvetica /Helvetica /ISOLatin1Encoding 120 FMSR 866 2317 mt (3) s 1653 2172 mt 1653 2149 L 1653 389 mt 1653 411 L 1620 2317 mt (4) s 2407 2172 mt 2407 2149 L 2407 389 mt 2407 411 L 2374 2317 mt (6) s 3161 2172 mt 3161 2149 L 3161 389 mt 3161 411 L 3128 2317 mt (8) s 899 2008 mt 921 2008 L 3161 2008 mt 3138 2008 L 798 2052 mt (4) s 899 1749 mt 921 1749 L 3161 1749 mt 3138 1749 L 798 1793 mt (5) s 899 1489 mt 921 1489 L 3161 1489 mt 3138 1489 L 798 1533 mt (6) s 899 1230 mt 921 1230 L 3161 1230 mt 3138 1230 L 798 1274 mt (7) s 899 970 mt 921 970 L 3161 970 mt 3138 970 L 798 1014 mt (8) s 899 711 mt 921 711 L 3161 711 mt 3138 711 L 798 755 mt (9) s 899 451 mt 921 451 L 3161 451 mt 3138 451 L 731 495 mt (10) s 899 335 mt (x 10) s %%IncludeResource: font Helvetica /Helvetica /ISOLatin1Encoding 80 FMSR 1125 261 mt (-3) s 899 2172 mt 3161 2172 L 899 388 mt 3161 388 L 899 2172 mt 899 388 L 3161 2172 mt 3161 388 L gs 899 389 2263 1784 MR c np DA 754 -8 754 -23 754 -182 899 765 4 MP stroke gr DA SO 0 j 24 31 -24 31 -24 -31 24 -31 899 796 5 MP gs PP gr DP 24 31 -24 31 -24 -31 24 -31 1653 614 5 MP gs PP gr DP 24 31 -24 31 -24 -31 24 -31 2407 591 5 MP gs PP gr DP 24 31 -24 31 -24 -31 24 -31 3161 583 5 MP gs PP gr DP DA gs 899 389 2263 1784 MR c np SO 754 -35 754 -45 754 -141 899 744 4 MP stroke gr SO 24 31 -24 31 -24 -31 24 -31 899 775 5 MP gs PP gr DP 24 31 -24 31 -24 -31 24 -31 1653 634 5 MP gs PP gr DP 24 31 -24 31 -24 -31 24 -31 2407 589 5 MP gs PP gr DP 24 31 -24 31 -24 -31 24 -31 3161 554 5 MP gs PP gr DP gs 899 389 2263 1784 MR c np DD 754 -70 754 -2 754 -318 899 911 4 MP stroke gr DD SO 24 31 -24 31 -24 -31 24 -31 899 942 5 MP gs PP gr DP 24 31 -24 31 -24 -31 24 -31 1653 624 5 MP gs PP gr DP 24 31 -24 31 -24 -31 24 -31 2407 622 5 MP gs PP gr DP 24 31 -24 31 -24 -31 24 -31 3161 552 5 MP gs PP gr DP DD gs 899 389 2263 1784 MR c np DA /c8 { 0.000000 0.000000 1.000000 sr} bdef c8 754 -182 754 -355 754 -193 899 1951 4 MP stroke gr c8 DA SO 24 24 899 1951 PO 24 24 1653 1758 PO 24 24 2407 1403 PO 24 24 3161 1221 PO 24 24 899 1951 FO 24 24 1653 1758 FO 24 24 2407 1403 FO 24 24 3161 1221 FO DA gs 899 389 2263 1784 MR c np SO 754 -180 754 -309 754 -163 899 2125 4 MP stroke gr SO 24 24 899 2125 PO 24 24 1653 1962 PO 24 24 2407 1653 PO 24 24 3161 1473 PO 24 24 899 2125 FO 24 24 1653 1962 FO 24 24 2407 1653 FO 24 24 3161 1473 FO gs 899 389 2263 1784 MR c np DD 754 -169 754 -338 754 -237 899 1586 4 MP stroke gr DD SO 24 24 899 1586 PO 24 24 1653 1349 PO 24 24 2407 1011 PO 24 24 3161 842 PO 24 24 899 1586 FO 24 24 1653 1349 FO 24 24 2407 1011 FO 24 24 3161 842 FO DD gs 899 389 2263 1784 MR c np DO /c9 { 1.000000 0.000000 0.000000 sr} bdef c9 754 -30 754 -312 754 -390 899 1534 4 MP stroke gr c9 DO SO 0 -38 -38 0 0 38 38 0 880 1515 5 MP gs PP gr DP 0 -38 -38 0 0 38 38 0 1634 1125 5 MP gs PP gr DP 0 -38 -38 0 0 38 38 0 2388 813 5 MP gs PP gr DP 0 -38 -38 0 0 38 38 0 3142 783 5 MP gs PP gr DP DO gs 899 389 2263 1784 MR c np 754 0 754 0 754 0 899 515 4 MP stroke gr 0 sg %%IncludeResource: font Helvetica /Helvetica /ISOLatin1Encoding 144 FMSR 1290 303 mt (Repulsive coupling \(0.25,0.25\)) s SO end eplot %%EndObject epage end showpage %%Trailer %%EOF %%EndDocument @endspecial 832 w @beginspecial 70 @llx 416 @lly 289 @urx 603 @ury 936 @rwi @setspecial %%BeginDocument: figures/err11.eps %!PS-Adobe-2.0 EPSF-1.2 %%Creator: MATLAB, The Mathworks, Inc. %%Title: /home/eecs/epxing/matlab/GMF/err11.eps %%CreationDate: 06/01/2003 23:52:52 %%DocumentNeededFonts: Helvetica %%DocumentProcessColors: Cyan Magenta Yellow Black %%Extensions: CMYK %%Pages: 1 %%BoundingBox: 70 416 289 603 %%EndComments %%BeginProlog % MathWorks dictionary /MathWorks 160 dict begin % definition operators /bdef {bind def} bind def /ldef {load def} bind def /xdef {exch def} bdef /xstore {exch store} bdef % operator abbreviations /c /clip ldef /cc /concat ldef /cp /closepath ldef /gr /grestore ldef /gs /gsave ldef /mt /moveto ldef /np /newpath ldef /cm /currentmatrix ldef /sm /setmatrix ldef /rm /rmoveto ldef /rl /rlineto ldef /s /show ldef /sc {setcmykcolor} bdef /sr /setrgbcolor ldef /sg /setgray ldef /w /setlinewidth ldef /j /setlinejoin ldef /cap /setlinecap ldef /rc {rectclip} bdef /rf {rectfill} bdef % page state control /pgsv () def /bpage {/pgsv save def} bdef /epage {pgsv restore} bdef /bplot /gsave ldef /eplot {stroke grestore} bdef % orientation switch /portraitMode 0 def /landscapeMode 1 def /rotateMode 2 def % coordinate system mappings /dpi2point 0 def % font control /FontSize 0 def /FMS {/FontSize xstore findfont [FontSize 0 0 FontSize neg 0 0] makefont setfont} bdef /reencode {exch dup where {pop load} {pop StandardEncoding} ifelse exch dup 3 1 roll findfont dup length dict begin { 1 index /FID ne {def}{pop pop} ifelse } forall /Encoding exch def currentdict end definefont pop} bdef /isroman {findfont /CharStrings get /Agrave known} bdef /FMSR {3 1 roll 1 index dup isroman {reencode} {pop pop} ifelse exch FMS} bdef /csm {1 dpi2point div -1 dpi2point div scale neg translate dup landscapeMode eq {pop -90 rotate} {rotateMode eq {90 rotate} if} ifelse} bdef % line types: solid, dotted, dashed, dotdash /SO { [] 0 setdash } bdef /DO { [.5 dpi2point mul 4 dpi2point mul] 0 setdash } bdef /DA { [6 dpi2point mul] 0 setdash } bdef /DD { [.5 dpi2point mul 4 dpi2point mul 6 dpi2point mul 4 dpi2point mul] 0 setdash } bdef % macros for lines and objects /L {lineto stroke} bdef /MP {3 1 roll moveto 1 sub {rlineto} repeat} bdef /AP {{rlineto} repeat} bdef /PDlw -1 def /W {/PDlw currentlinewidth def setlinewidth} def /PP {closepath eofill} bdef /DP {closepath stroke} bdef /MR {4 -2 roll moveto dup 0 exch rlineto exch 0 rlineto neg 0 exch rlineto closepath} bdef /FR {MR stroke} bdef /PR {MR fill} bdef /L1i {{currentfile picstr readhexstring pop} image} bdef /tMatrix matrix def /MakeOval {newpath tMatrix currentmatrix pop translate scale 0 0 1 0 360 arc tMatrix setmatrix} bdef /FO {MakeOval stroke} bdef /PO {MakeOval fill} bdef /PD {currentlinewidth 2 div 0 360 arc fill PDlw -1 eq not {PDlw w /PDlw -1 def} if} def /FA {newpath tMatrix currentmatrix pop translate scale 0 0 1 5 -2 roll arc tMatrix setmatrix stroke} bdef /PA {newpath tMatrix currentmatrix pop translate 0 0 moveto scale 0 0 1 5 -2 roll arc closepath tMatrix setmatrix fill} bdef /FAn {newpath tMatrix currentmatrix pop translate scale 0 0 1 5 -2 roll arcn tMatrix setmatrix stroke} bdef /PAn {newpath tMatrix currentmatrix pop translate 0 0 moveto scale 0 0 1 5 -2 roll arcn closepath tMatrix setmatrix fill} bdef /vradius 0 def /hradius 0 def /lry 0 def /lrx 0 def /uly 0 def /ulx 0 def /rad 0 def /MRR {/vradius xdef /hradius xdef /lry xdef /lrx xdef /uly xdef /ulx xdef newpath tMatrix currentmatrix pop ulx hradius add uly vradius add translate hradius vradius scale 0 0 1 180 270 arc tMatrix setmatrix lrx hradius sub uly vradius add translate hradius vradius scale 0 0 1 270 360 arc tMatrix setmatrix lrx hradius sub lry vradius sub translate hradius vradius scale 0 0 1 0 90 arc tMatrix setmatrix ulx hradius add lry vradius sub translate hradius vradius scale 0 0 1 90 180 arc tMatrix setmatrix closepath} bdef /FRR {MRR stroke } bdef /PRR {MRR fill } bdef /MlrRR {/lry xdef /lrx xdef /uly xdef /ulx xdef /rad lry uly sub 2 div def newpath tMatrix currentmatrix pop ulx rad add uly rad add translate rad rad scale 0 0 1 90 270 arc tMatrix setmatrix lrx rad sub lry rad sub translate rad rad scale 0 0 1 270 90 arc tMatrix setmatrix closepath} bdef /FlrRR {MlrRR stroke } bdef /PlrRR {MlrRR fill } bdef /MtbRR {/lry xdef /lrx xdef /uly xdef /ulx xdef /rad lrx ulx sub 2 div def newpath tMatrix currentmatrix pop ulx rad add uly rad add translate rad rad scale 0 0 1 180 360 arc tMatrix setmatrix lrx rad sub lry rad sub translate rad rad scale 0 0 1 0 180 arc tMatrix setmatrix closepath} bdef /FtbRR {MtbRR stroke } bdef /PtbRR {MtbRR fill } bdef /stri 6 array def /dtri 6 array def /smat 6 array def /dmat 6 array def /tmat1 6 array def /tmat2 6 array def /dif 3 array def /asub {/ind2 exch def /ind1 exch def dup dup ind1 get exch ind2 get sub exch } bdef /tri_to_matrix { 2 0 asub 3 1 asub 4 0 asub 5 1 asub dup 0 get exch 1 get 7 -1 roll astore } bdef /compute_transform { dmat dtri tri_to_matrix tmat1 invertmatrix smat stri tri_to_matrix tmat2 concatmatrix } bdef /ds {stri astore pop} bdef /dt {dtri astore pop} bdef /db {2 copy /cols xdef /rows xdef mul dup 3 mul string currentfile exch readhexstring pop dup 0 3 index getinterval /rbmap xdef dup 2 index dup getinterval /gbmap xdef 1 index dup 2 mul exch getinterval /bbmap xdef pop pop}bdef /it {gs np dtri aload pop moveto lineto lineto cp c cols rows 8 compute_transform rbmap gbmap bbmap true 3 colorimage gr}bdef /il {newpath moveto lineto stroke}bdef currentdict end def %%EndProlog %%BeginSetup MathWorks begin 0 cap end %%EndSetup %%Page: 1 1 %%BeginPageSetup %%PageBoundingBox: 70 416 289 603 MathWorks begin bpage %%EndPageSetup %%BeginObject: obj1 bplot /dpi2point 12 def portraitMode 0216 7344 csm 631 107 2628 2238 MR c np 92 dict begin %Colortable dictionary /c0 { 0 0 0 sr} bdef /c1 { 1 1 1 sr} bdef /c2 { 1 0 0 sr} bdef /c3 { 0 1 0 sr} bdef /c4 { 0 0 1 sr} bdef /c5 { 1 1 0 sr} bdef /c6 { 1 0 1 sr} bdef /c7 { 0 1 1 sr} bdef c0 1 j 1 sg 0 0 6918 5185 PR 6 w 0 1783 2262 0 0 -1783 899 2172 4 MP PP -2262 0 0 1783 2262 0 0 -1783 899 2172 5 MP stroke 4 w DO SO 6 w 0 sg 899 2172 mt 3161 2172 L 899 389 mt 3161 389 L 899 2172 mt 899 389 L 3161 2172 mt 3161 389 L 899 2172 mt 3161 2172 L 899 2172 mt 899 389 L 899 2172 mt 899 2149 L 899 389 mt 899 411 L %%IncludeResource: font Helvetica /Helvetica /ISOLatin1Encoding 120 FMSR 866 2317 mt (3) s 1653 2172 mt 1653 2149 L 1653 389 mt 1653 411 L 1620 2317 mt (4) s 2407 2172 mt 2407 2149 L 2407 389 mt 2407 411 L 2374 2317 mt (6) s 3161 2172 mt 3161 2149 L 3161 389 mt 3161 411 L 3128 2317 mt (8) s 899 2016 mt 921 2016 L 3161 2016 mt 3138 2016 L 631 2060 mt (0.05) s 899 1252 mt 921 1252 L 3161 1252 mt 3138 1252 L 698 1296 mt (0.1) s 899 488 mt 921 488 L 3161 488 mt 3138 488 L 631 532 mt (0.15) s 899 2172 mt 3161 2172 L 899 389 mt 3161 389 L 899 2172 mt 899 389 L 3161 2172 mt 3161 389 L gs 899 389 2263 1784 MR c np DA 754 -33 754 -33 754 -120 899 706 4 MP stroke gr DA SO 0 j 24 31 -24 31 -24 -31 24 -31 899 737 5 MP gs PP gr DP 24 31 -24 31 -24 -31 24 -31 1653 617 5 MP gs PP gr DP 24 31 -24 31 -24 -31 24 -31 2407 584 5 MP gs PP gr DP 24 31 -24 31 -24 -31 24 -31 3161 551 5 MP gs PP gr DP DA gs 899 389 2263 1784 MR c np SO 754 -28 754 -42 754 -98 899 675 4 MP stroke gr SO 24 31 -24 31 -24 -31 24 -31 899 706 5 MP gs PP gr DP 24 31 -24 31 -24 -31 24 -31 1653 608 5 MP gs PP gr DP 24 31 -24 31 -24 -31 24 -31 2407 566 5 MP gs PP gr DP 24 31 -24 31 -24 -31 24 -31 3161 538 5 MP gs PP gr DP gs 899 389 2263 1784 MR c np DD 754 -88 754 37 754 -181 899 758 4 MP stroke gr DD SO 24 31 -24 31 -24 -31 24 -31 899 789 5 MP gs PP gr DP 24 31 -24 31 -24 -31 24 -31 1653 608 5 MP gs PP gr DP 24 31 -24 31 -24 -31 24 -31 2407 645 5 MP gs PP gr DP 24 31 -24 31 -24 -31 24 -31 3161 557 5 MP gs PP gr DP DD gs 899 389 2263 1784 MR c np DA /c8 { 0.000000 0.000000 1.000000 sr} bdef c8 754 -185 754 -318 754 -306 899 1968 4 MP stroke gr c8 DA SO 24 24 899 1968 PO 24 24 1653 1662 PO 24 24 2407 1344 PO 24 24 3161 1159 PO 24 24 899 1968 FO 24 24 1653 1662 FO 24 24 2407 1344 FO 24 24 3161 1159 FO DA gs 899 389 2263 1784 MR c np SO 754 -267 754 -220 754 -290 899 2139 4 MP stroke gr SO 24 24 899 2139 PO 24 24 1653 1849 PO 24 24 2407 1629 PO 24 24 3161 1362 PO 24 24 899 2139 FO 24 24 1653 1849 FO 24 24 2407 1629 FO 24 24 3161 1362 FO gs 899 389 2263 1784 MR c np DD 754 -237 754 -284 754 -252 899 1600 4 MP stroke gr DD SO 24 24 899 1600 PO 24 24 1653 1348 PO 24 24 2407 1064 PO 24 24 3161 827 PO 24 24 899 1600 FO 24 24 1653 1348 FO 24 24 2407 1064 FO 24 24 3161 827 FO DD gs 899 389 2263 1784 MR c np DO /c9 { 1.000000 0.000000 0.000000 sr} bdef c9 754 -93 754 -188 754 -329 899 1391 4 MP stroke gr c9 DO SO 0 -38 -38 0 0 38 38 0 880 1372 5 MP gs PP gr DP 0 -38 -38 0 0 38 38 0 1634 1043 5 MP gs PP gr DP 0 -38 -38 0 0 38 38 0 2388 855 5 MP gs PP gr DP 0 -38 -38 0 0 38 38 0 3142 762 5 MP gs PP gr DP DO gs 899 389 2263 1784 MR c np 754 0 754 0 754 0 899 502 4 MP stroke gr 0 sg %%IncludeResource: font Helvetica /Helvetica /ISOLatin1Encoding 144 FMSR 1100 289 mt (Repulsive coupling \(0.25,0.5\)) s SO end eplot %%EndObject epage end showpage %%Trailer %%EOF %%EndDocument @endspecial 833 w @beginspecial 70 @llx 416 @lly 289 @urx 603 @ury 936 @rwi @setspecial %%BeginDocument: figures/err21.eps %!PS-Adobe-2.0 EPSF-1.2 %%Creator: MATLAB, The Mathworks, Inc. %%Title: /home/eecs/epxing/matlab/GMF/fig/err21.eps %%CreationDate: 06/02/2003 14:53:20 %%DocumentNeededFonts: Helvetica %%DocumentProcessColors: Cyan Magenta Yellow Black %%Extensions: CMYK %%Pages: 1 %%BoundingBox: 70 416 289 603 %%EndComments %%BeginProlog % MathWorks dictionary /MathWorks 160 dict begin % definition operators /bdef {bind def} bind def /ldef {load def} bind def /xdef {exch def} bdef /xstore {exch store} bdef % operator abbreviations /c /clip ldef /cc /concat ldef /cp /closepath ldef /gr /grestore ldef /gs /gsave ldef /mt /moveto ldef /np /newpath ldef /cm /currentmatrix ldef /sm /setmatrix ldef /rm /rmoveto ldef /rl /rlineto ldef /s /show ldef /sc {setcmykcolor} bdef /sr /setrgbcolor ldef /sg /setgray ldef /w /setlinewidth ldef /j /setlinejoin ldef /cap /setlinecap ldef /rc {rectclip} bdef /rf {rectfill} bdef % page state control /pgsv () def /bpage {/pgsv save def} bdef /epage {pgsv restore} bdef /bplot /gsave ldef /eplot {stroke grestore} bdef % orientation switch /portraitMode 0 def /landscapeMode 1 def /rotateMode 2 def % coordinate system mappings /dpi2point 0 def % font control /FontSize 0 def /FMS {/FontSize xstore findfont [FontSize 0 0 FontSize neg 0 0] makefont setfont} bdef /reencode {exch dup where {pop load} {pop StandardEncoding} ifelse exch dup 3 1 roll findfont dup length dict begin { 1 index /FID ne {def}{pop pop} ifelse } forall /Encoding exch def currentdict end definefont pop} bdef /isroman {findfont /CharStrings get /Agrave known} bdef /FMSR {3 1 roll 1 index dup isroman {reencode} {pop pop} ifelse exch FMS} bdef /csm {1 dpi2point div -1 dpi2point div scale neg translate dup landscapeMode eq {pop -90 rotate} {rotateMode eq {90 rotate} if} ifelse} bdef % line types: solid, dotted, dashed, dotdash /SO { [] 0 setdash } bdef /DO { [.5 dpi2point mul 4 dpi2point mul] 0 setdash } bdef /DA { [6 dpi2point mul] 0 setdash } bdef /DD { [.5 dpi2point mul 4 dpi2point mul 6 dpi2point mul 4 dpi2point mul] 0 setdash } bdef % macros for lines and objects /L {lineto stroke} bdef /MP {3 1 roll moveto 1 sub {rlineto} repeat} bdef /AP {{rlineto} repeat} bdef /PDlw -1 def /W {/PDlw currentlinewidth def setlinewidth} def /PP {closepath eofill} bdef /DP {closepath stroke} bdef /MR {4 -2 roll moveto dup 0 exch rlineto exch 0 rlineto neg 0 exch rlineto closepath} bdef /FR {MR stroke} bdef /PR {MR fill} bdef /L1i {{currentfile picstr readhexstring pop} image} bdef /tMatrix matrix def /MakeOval {newpath tMatrix currentmatrix pop translate scale 0 0 1 0 360 arc tMatrix setmatrix} bdef /FO {MakeOval stroke} bdef /PO {MakeOval fill} bdef /PD {currentlinewidth 2 div 0 360 arc fill PDlw -1 eq not {PDlw w /PDlw -1 def} if} def /FA {newpath tMatrix currentmatrix pop translate scale 0 0 1 5 -2 roll arc tMatrix setmatrix stroke} bdef /PA {newpath tMatrix currentmatrix pop translate 0 0 moveto scale 0 0 1 5 -2 roll arc closepath tMatrix setmatrix fill} bdef /FAn {newpath tMatrix currentmatrix pop translate scale 0 0 1 5 -2 roll arcn tMatrix setmatrix stroke} bdef /PAn {newpath tMatrix currentmatrix pop translate 0 0 moveto scale 0 0 1 5 -2 roll arcn closepath tMatrix setmatrix fill} bdef /vradius 0 def /hradius 0 def /lry 0 def /lrx 0 def /uly 0 def /ulx 0 def /rad 0 def /MRR {/vradius xdef /hradius xdef /lry xdef /lrx xdef /uly xdef /ulx xdef newpath tMatrix currentmatrix pop ulx hradius add uly vradius add translate hradius vradius scale 0 0 1 180 270 arc tMatrix setmatrix lrx hradius sub uly vradius add translate hradius vradius scale 0 0 1 270 360 arc tMatrix setmatrix lrx hradius sub lry vradius sub translate hradius vradius scale 0 0 1 0 90 arc tMatrix setmatrix ulx hradius add lry vradius sub translate hradius vradius scale 0 0 1 90 180 arc tMatrix setmatrix closepath} bdef /FRR {MRR stroke } bdef /PRR {MRR fill } bdef /MlrRR {/lry xdef /lrx xdef /uly xdef /ulx xdef /rad lry uly sub 2 div def newpath tMatrix currentmatrix pop ulx rad add uly rad add translate rad rad scale 0 0 1 90 270 arc tMatrix setmatrix lrx rad sub lry rad sub translate rad rad scale 0 0 1 270 90 arc tMatrix setmatrix closepath} bdef /FlrRR {MlrRR stroke } bdef /PlrRR {MlrRR fill } bdef /MtbRR {/lry xdef /lrx xdef /uly xdef /ulx xdef /rad lrx ulx sub 2 div def newpath tMatrix currentmatrix pop ulx rad add uly rad add translate rad rad scale 0 0 1 180 360 arc tMatrix setmatrix lrx rad sub lry rad sub translate rad rad scale 0 0 1 0 180 arc tMatrix setmatrix closepath} bdef /FtbRR {MtbRR stroke } bdef /PtbRR {MtbRR fill } bdef /stri 6 array def /dtri 6 array def /smat 6 array def /dmat 6 array def /tmat1 6 array def /tmat2 6 array def /dif 3 array def /asub {/ind2 exch def /ind1 exch def dup dup ind1 get exch ind2 get sub exch } bdef /tri_to_matrix { 2 0 asub 3 1 asub 4 0 asub 5 1 asub dup 0 get exch 1 get 7 -1 roll astore } bdef /compute_transform { dmat dtri tri_to_matrix tmat1 invertmatrix smat stri tri_to_matrix tmat2 concatmatrix } bdef /ds {stri astore pop} bdef /dt {dtri astore pop} bdef /db {2 copy /cols xdef /rows xdef mul dup 3 mul string currentfile exch readhexstring pop dup 0 3 index getinterval /rbmap xdef dup 2 index dup getinterval /gbmap xdef 1 index dup 2 mul exch getinterval /bbmap xdef pop pop}bdef /it {gs np dtri aload pop moveto lineto lineto cp c cols rows 8 compute_transform rbmap gbmap bbmap true 3 colorimage gr}bdef /il {newpath moveto lineto stroke}bdef currentdict end def %%EndProlog %%BeginSetup MathWorks begin 0 cap end %%EndSetup %%Page: 1 1 %%BeginPageSetup %%PageBoundingBox: 70 416 289 603 MathWorks begin bpage %%EndPageSetup %%BeginObject: obj1 bplot /dpi2point 12 def portraitMode 0216 7344 csm 631 107 2628 2238 MR c np 92 dict begin %Colortable dictionary /c0 { 0 0 0 sr} bdef /c1 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mt 3138 1102 L 631 1146 mt (0.27) s 898 745 mt 921 745 L 3161 745 mt 3138 745 L 631 789 mt (0.28) s 898 389 mt 921 389 L 3161 389 mt 3138 389 L 631 433 mt (0.29) s 898 2172 mt 3161 2172 L 898 389 mt 3161 389 L 898 2172 mt 898 389 L 3161 2172 mt 3161 389 L gs 898 389 2264 1784 MR c np DA 754 -20 754 -65 755 -69 898 900 4 MP stroke gr DA SO 0 j 24 31 -24 31 -24 -31 24 -31 898 931 5 MP gs PP gr DP 24 31 -24 31 -24 -31 24 -31 1653 862 5 MP gs PP gr DP 24 31 -24 31 -24 -31 24 -31 2407 797 5 MP gs PP gr DP 24 31 -24 31 -24 -31 24 -31 3161 777 5 MP gs PP gr DP DA gs 898 389 2264 1784 MR c np SO 754 -12 754 -38 755 -125 898 920 4 MP stroke gr SO 24 31 -24 31 -24 -31 24 -31 898 951 5 MP gs PP gr DP 24 31 -24 31 -24 -31 24 -31 1653 826 5 MP gs PP gr DP 24 31 -24 31 -24 -31 24 -31 2407 788 5 MP gs PP gr DP 24 31 -24 31 -24 -31 24 -31 3161 776 5 MP gs PP gr DP gs 898 389 2264 1784 MR c np DD 754 -46 754 -30 755 -118 898 939 4 MP stroke gr DD SO 24 31 -24 31 -24 -31 24 -31 898 970 5 MP gs PP gr DP 24 31 -24 31 -24 -31 24 -31 1653 852 5 MP gs PP gr DP 24 31 -24 31 -24 -31 24 -31 2407 822 5 MP gs PP gr DP 24 31 -24 31 -24 -31 24 -31 3161 776 5 MP gs PP gr DP DD gs 898 389 2264 1784 MR c np DA /c8 { 0.000000 0.000000 1.000000 sr} bdef c8 754 -135 754 -209 755 -179 898 1681 4 MP stroke gr c8 DA SO 24 24 898 1681 PO 24 24 1653 1502 PO 24 24 2407 1293 PO 24 24 3161 1158 PO 24 24 898 1681 FO 24 24 1653 1502 FO 24 24 2407 1293 FO 24 24 3161 1158 FO DA gs 898 389 2264 1784 MR c np SO 754 -25 754 -298 755 -165 898 1837 4 MP stroke gr SO 24 24 898 1837 PO 24 24 1653 1672 PO 24 24 2407 1374 PO 24 24 3161 1349 PO 24 24 898 1837 FO 24 24 1653 1672 FO 24 24 2407 1374 FO 24 24 3161 1349 FO gs 898 389 2264 1784 MR c np DD 754 -110 754 -207 755 -227 898 1481 4 MP stroke gr DD SO 24 24 898 1481 PO 24 24 1653 1254 PO 24 24 2407 1047 PO 24 24 3161 937 PO 24 24 898 1481 FO 24 24 1653 1254 FO 24 24 2407 1047 FO 24 24 3161 937 FO DD gs 898 389 2264 1784 MR c np DO /c9 { 1.000000 0.000000 0.000000 sr} bdef c9 754 -140 754 -202 755 -110 898 1233 4 MP stroke gr c9 DO SO 0 -38 -38 0 0 38 38 0 879 1214 5 MP gs PP gr DP 0 -38 -38 0 0 38 38 0 1634 1104 5 MP gs PP gr DP 0 -38 -38 0 0 38 38 0 2388 902 5 MP gs PP gr DP 0 -38 -38 0 0 38 38 0 3142 762 5 MP gs PP gr DP DO gs 898 389 2264 1784 MR c np 754 0 754 0 755 0 898 743 4 MP stroke gr 0 sg %%IncludeResource: font Helvetica /Helvetica /ISOLatin1Encoding 144 FMSR 1160 289 mt (Repulsive coupling \(0.25,1\)) s SO end eplot %%EndObject epage end showpage %%Trailer %%EOF %%EndDocument @endspecial 357 2037 a @beginspecial 78 @llx 416 @lly 289 @urx 601 @ury 936 @rwi @setspecial %%BeginDocument: figures/mixerr5.eps %!PS-Adobe-2.0 EPSF-1.2 %%Creator: MATLAB, The Mathworks, Inc. %%Title: /home/eecs/epxing/matlab/GMF/fig/mixerr5.eps %%CreationDate: 06/04/2003 14:03:11 %%DocumentNeededFonts: Helvetica %%DocumentProcessColors: Cyan Magenta Yellow Black %%Extensions: CMYK %%Pages: 1 %%BoundingBox: 78 416 289 601 %%EndComments %%BeginProlog % MathWorks dictionary /MathWorks 160 dict begin % definition operators /bdef {bind def} bind def /ldef {load def} bind def /xdef {exch def} bdef /xstore {exch store} bdef % operator abbreviations /c /clip ldef /cc /concat ldef /cp /closepath ldef /gr /grestore ldef /gs /gsave ldef /mt /moveto ldef /np /newpath ldef /cm /currentmatrix ldef /sm /setmatrix ldef /rm /rmoveto ldef /rl /rlineto ldef /s /show ldef /sc {setcmykcolor} bdef /sr /setrgbcolor ldef /sg /setgray ldef /w /setlinewidth ldef /j /setlinejoin ldef /cap /setlinecap ldef /rc {rectclip} bdef /rf {rectfill} bdef % page state control /pgsv () def /bpage {/pgsv save def} bdef /epage {pgsv restore} bdef /bplot /gsave ldef /eplot {stroke grestore} bdef % orientation switch /portraitMode 0 def /landscapeMode 1 def /rotateMode 2 def % coordinate system mappings /dpi2point 0 def % font control /FontSize 0 def /FMS {/FontSize xstore findfont [FontSize 0 0 FontSize neg 0 0] makefont setfont} bdef /reencode {exch dup where {pop load} {pop StandardEncoding} ifelse exch dup 3 1 roll findfont dup length dict begin { 1 index /FID ne {def}{pop pop} ifelse } forall /Encoding exch def currentdict end definefont pop} bdef /isroman {findfont /CharStrings get /Agrave known} bdef /FMSR {3 1 roll 1 index dup isroman {reencode} {pop pop} ifelse exch FMS} bdef /csm {1 dpi2point div -1 dpi2point div scale neg translate dup landscapeMode eq {pop -90 rotate} {rotateMode eq {90 rotate} if} ifelse} bdef % line types: solid, dotted, dashed, dotdash /SO { [] 0 setdash } bdef /DO { [.5 dpi2point mul 4 dpi2point mul] 0 setdash } bdef /DA { [6 dpi2point mul] 0 setdash } bdef /DD { [.5 dpi2point mul 4 dpi2point mul 6 dpi2point mul 4 dpi2point mul] 0 setdash } bdef % macros for lines and objects /L {lineto stroke} bdef /MP {3 1 roll moveto 1 sub {rlineto} repeat} bdef /AP {{rlineto} repeat} bdef /PDlw -1 def /W {/PDlw currentlinewidth def setlinewidth} def /PP {closepath eofill} bdef /DP {closepath stroke} bdef /MR {4 -2 roll moveto dup 0 exch rlineto exch 0 rlineto neg 0 exch rlineto closepath} bdef /FR {MR stroke} bdef /PR {MR fill} bdef /L1i {{currentfile picstr readhexstring pop} image} bdef /tMatrix matrix def /MakeOval {newpath tMatrix currentmatrix pop translate scale 0 0 1 0 360 arc tMatrix setmatrix} bdef /FO {MakeOval stroke} bdef /PO {MakeOval fill} bdef /PD {currentlinewidth 2 div 0 360 arc fill PDlw -1 eq not {PDlw w /PDlw -1 def} if} def /FA {newpath tMatrix currentmatrix pop translate scale 0 0 1 5 -2 roll arc tMatrix setmatrix stroke} bdef /PA {newpath tMatrix currentmatrix pop translate 0 0 moveto scale 0 0 1 5 -2 roll arc closepath tMatrix setmatrix fill} bdef /FAn {newpath tMatrix currentmatrix pop translate scale 0 0 1 5 -2 roll arcn tMatrix setmatrix stroke} bdef /PAn {newpath tMatrix currentmatrix pop translate 0 0 moveto scale 0 0 1 5 -2 roll arcn closepath tMatrix setmatrix fill} bdef /vradius 0 def /hradius 0 def /lry 0 def /lrx 0 def /uly 0 def /ulx 0 def /rad 0 def /MRR {/vradius xdef /hradius xdef /lry xdef /lrx xdef /uly xdef /ulx xdef newpath tMatrix currentmatrix pop ulx hradius add uly vradius add translate hradius vradius scale 0 0 1 180 270 arc tMatrix setmatrix lrx hradius sub uly vradius add translate hradius vradius scale 0 0 1 270 360 arc tMatrix setmatrix lrx hradius sub lry vradius sub translate hradius vradius scale 0 0 1 0 90 arc tMatrix setmatrix ulx hradius add lry vradius sub translate hradius vradius scale 0 0 1 90 180 arc tMatrix setmatrix closepath} bdef /FRR {MRR stroke } bdef /PRR {MRR fill } bdef /MlrRR {/lry xdef /lrx xdef /uly xdef /ulx xdef /rad lry uly sub 2 div def newpath tMatrix currentmatrix pop ulx rad add uly rad add translate rad rad scale 0 0 1 90 270 arc tMatrix setmatrix lrx rad sub lry rad sub translate rad rad scale 0 0 1 270 90 arc tMatrix setmatrix closepath} bdef /FlrRR {MlrRR stroke } bdef /PlrRR {MlrRR fill } bdef /MtbRR {/lry xdef /lrx xdef /uly xdef /ulx xdef /rad lrx ulx sub 2 div def newpath tMatrix currentmatrix pop ulx rad add uly rad add translate rad rad scale 0 0 1 180 360 arc tMatrix setmatrix lrx rad sub lry rad sub translate rad rad scale 0 0 1 0 180 arc tMatrix setmatrix closepath} bdef /FtbRR {MtbRR stroke } bdef /PtbRR {MtbRR fill } bdef /stri 6 array def /dtri 6 array def /smat 6 array def /dmat 6 array def /tmat1 6 array def /tmat2 6 array def /dif 3 array def /asub {/ind2 exch def /ind1 exch def dup dup ind1 get exch ind2 get sub exch } bdef /tri_to_matrix { 2 0 asub 3 1 asub 4 0 asub 5 1 asub dup 0 get exch 1 get 7 -1 roll astore } bdef /compute_transform { dmat dtri tri_to_matrix tmat1 invertmatrix smat stri tri_to_matrix tmat2 concatmatrix } bdef /ds {stri astore pop} bdef /dt {dtri astore pop} bdef /db {2 copy /cols xdef /rows xdef mul dup 3 mul string currentfile exch readhexstring pop dup 0 3 index getinterval /rbmap xdef dup 2 index dup getinterval /gbmap xdef 1 index dup 2 mul exch getinterval /bbmap xdef pop pop}bdef /it {gs np dtri aload pop moveto lineto lineto cp c cols rows 8 compute_transform rbmap gbmap bbmap true 3 colorimage gr}bdef /il {newpath moveto lineto stroke}bdef currentdict end def %%EndProlog %%BeginSetup MathWorks begin 0 cap end %%EndSetup %%Page: 1 1 %%BeginPageSetup %%PageBoundingBox: 78 416 289 601 MathWorks begin bpage %%EndPageSetup %%BeginObject: obj1 bplot /dpi2point 12 def portraitMode 0216 7344 csm 731 126 2528 2219 MR c np 92 dict begin %Colortable dictionary /c0 { 0 0 0 sr} bdef /c1 { 1 1 1 sr} bdef /c2 { 1 0 0 sr} bdef /c3 { 0 1 0 sr} bdef /c4 { 0 0 1 sr} bdef /c5 { 1 1 0 sr} bdef /c6 { 1 0 1 sr} bdef /c7 { 0 1 1 sr} bdef c0 1 j 1 sg 0 0 6917 5185 PR 6 w 0 1784 2262 0 0 -1784 899 2172 4 MP PP -2262 0 0 1784 2262 0 0 -1784 899 2172 5 MP stroke 4 w DO SO 6 w 0 sg 899 2172 mt 3161 2172 L 899 388 mt 3161 388 L 899 2172 mt 899 388 L 3161 2172 mt 3161 388 L 899 2172 mt 3161 2172 L 899 2172 mt 899 388 L 899 2172 mt 899 2149 L 899 389 mt 899 411 L %%IncludeResource: font Helvetica /Helvetica /ISOLatin1Encoding 120 FMSR 866 2317 mt (3) s 1653 2172 mt 1653 2149 L 1653 389 mt 1653 411 L 1620 2317 mt (4) s 2407 2172 mt 2407 2149 L 2407 389 mt 2407 411 L 2374 2317 mt (6) s 3161 2172 mt 3161 2149 L 3161 389 mt 3161 411 L 3128 2317 mt (8) s 899 2089 mt 921 2089 L 3161 2089 mt 3138 2089 L 798 2133 mt (4) s 899 1771 mt 921 1771 L 3161 1771 mt 3138 1771 L 798 1815 mt (6) s 899 1453 mt 921 1453 L 3161 1453 mt 3138 1453 L 798 1497 mt (8) s 899 1135 mt 921 1135 L 3161 1135 mt 3138 1135 L 731 1179 mt (10) s 899 817 mt 921 817 L 3161 817 mt 3138 817 L 731 861 mt (12) s 899 499 mt 921 499 L 3161 499 mt 3138 499 L 731 543 mt (14) s 899 335 mt (x 10) s %%IncludeResource: font Helvetica /Helvetica /ISOLatin1Encoding 80 FMSR 1125 261 mt (-4) s 899 2172 mt 3161 2172 L 899 388 mt 3161 388 L 899 2172 mt 899 388 L 3161 2172 mt 3161 388 L gs 899 389 2263 1784 MR c np DA 754 -31 754 12 754 -143 899 676 4 MP stroke gr DA SO 0 j 24 31 -24 31 -24 -31 24 -31 899 707 5 MP gs PP gr DP 24 31 -24 31 -24 -31 24 -31 1653 564 5 MP gs PP gr DP 24 31 -24 31 -24 -31 24 -31 2407 576 5 MP gs PP gr DP 24 31 -24 31 -24 -31 24 -31 3161 545 5 MP gs PP gr DP DA gs 899 389 2263 1784 MR c np SO 754 -8 754 -13 754 -86 899 609 4 MP stroke gr SO 24 31 -24 31 -24 -31 24 -31 899 640 5 MP gs PP gr DP 24 31 -24 31 -24 -31 24 -31 1653 554 5 MP gs PP gr DP 24 31 -24 31 -24 -31 24 -31 2407 541 5 MP gs PP gr DP 24 31 -24 31 -24 -31 24 -31 3161 533 5 MP gs PP gr DP gs 899 389 2263 1784 MR c np DD 754 13 754 10 754 -288 899 836 4 MP stroke gr DD SO 24 31 -24 31 -24 -31 24 -31 899 867 5 MP gs PP gr DP 24 31 -24 31 -24 -31 24 -31 1653 579 5 MP gs PP gr DP 24 31 -24 31 -24 -31 24 -31 2407 589 5 MP gs PP gr DP 24 31 -24 31 -24 -31 24 -31 3161 602 5 MP gs PP gr DP DD gs 899 389 2263 1784 MR c np DA /c8 { 0.000000 0.000000 1.000000 sr} bdef c8 754 -120 754 -327 754 -209 899 1752 4 MP stroke gr c8 DA SO 24 24 899 1752 PO 24 24 1653 1543 PO 24 24 2407 1216 PO 24 24 3161 1096 PO 24 24 899 1752 FO 24 24 1653 1543 FO 24 24 2407 1216 FO 24 24 3161 1096 FO DA gs 899 389 2263 1784 MR c np SO 754 -235 754 -232 754 -103 899 1991 4 MP stroke gr SO 24 24 899 1991 PO 24 24 1653 1888 PO 24 24 2407 1656 PO 24 24 3161 1421 PO 24 24 899 1991 FO 24 24 1653 1888 FO 24 24 2407 1656 FO 24 24 3161 1421 FO gs 899 389 2263 1784 MR c np DD 754 -136 754 -205 754 -324 899 1312 4 MP stroke gr DD SO 24 24 899 1312 PO 24 24 1653 988 PO 24 24 2407 783 PO 24 24 3161 647 PO 24 24 899 1312 FO 24 24 1653 988 FO 24 24 2407 783 FO 24 24 3161 647 FO DD gs 899 389 2263 1784 MR c np DO /c9 { 1.000000 0.000000 0.000000 sr} bdef c9 754 -74 754 -152 754 -252 899 1214 4 MP stroke gr c9 DO SO 0 -38 -38 0 0 38 38 0 880 1195 5 MP gs PP gr DP 0 -38 -38 0 0 38 38 0 1634 943 5 MP gs PP gr DP 0 -38 -38 0 0 38 38 0 2388 791 5 MP gs PP gr DP 0 -38 -38 0 0 38 38 0 3142 717 5 MP gs PP gr DP DO gs 899 389 2263 1784 MR c np 754 0 754 0 754 0 899 500 4 MP stroke gr 0 sg %%IncludeResource: font Helvetica /Helvetica /ISOLatin1Encoding 144 FMSR 1456 308 mt (Mixed coupling \(0.25,0.12\)) s SO end eplot %%EndObject epage end showpage %%Trailer %%EOF %%EndDocument @endspecial 833 w @beginspecial 76 @llx 416 @lly 289 @urx 601 @ury 936 @rwi @setspecial %%BeginDocument: figures/mixerr2.eps %!PS-Adobe-2.0 EPSF-1.2 %%Creator: MATLAB, The Mathworks, Inc. %%Title: /home/eecs/epxing/matlab/GMF/mixerr2.eps %%CreationDate: 06/02/2003 00:02:11 %%DocumentNeededFonts: Helvetica %%DocumentProcessColors: Cyan Magenta Yellow Black %%Extensions: CMYK %%Pages: 1 %%BoundingBox: 76 416 289 601 %%EndComments %%BeginProlog % MathWorks dictionary /MathWorks 160 dict begin % definition operators /bdef {bind def} bind def /ldef {load def} bind def /xdef {exch def} bdef /xstore {exch store} bdef % operator abbreviations /c /clip ldef /cc /concat ldef /cp /closepath ldef /gr /grestore ldef /gs /gsave ldef /mt /moveto ldef /np /newpath ldef /cm /currentmatrix ldef /sm /setmatrix ldef /rm /rmoveto ldef /rl /rlineto ldef /s /show ldef /sc {setcmykcolor} bdef /sr /setrgbcolor ldef /sg /setgray ldef /w /setlinewidth ldef /j /setlinejoin ldef /cap /setlinecap ldef /rc {rectclip} bdef /rf {rectfill} bdef % page state control /pgsv () def /bpage {/pgsv save def} bdef /epage {pgsv restore} bdef /bplot /gsave ldef /eplot {stroke grestore} bdef % orientation switch /portraitMode 0 def /landscapeMode 1 def /rotateMode 2 def % coordinate system mappings /dpi2point 0 def % font control /FontSize 0 def /FMS {/FontSize xstore findfont [FontSize 0 0 FontSize neg 0 0] makefont setfont} bdef /reencode {exch dup where {pop load} {pop StandardEncoding} ifelse exch dup 3 1 roll findfont dup length dict begin { 1 index /FID ne {def}{pop pop} ifelse } forall /Encoding exch def currentdict end definefont pop} bdef /isroman {findfont /CharStrings get /Agrave known} bdef /FMSR {3 1 roll 1 index dup isroman {reencode} {pop pop} ifelse exch FMS} bdef /csm {1 dpi2point div -1 dpi2point div scale neg translate dup landscapeMode eq {pop -90 rotate} {rotateMode eq {90 rotate} if} ifelse} bdef % line types: solid, dotted, dashed, dotdash /SO { [] 0 setdash } bdef /DO { [.5 dpi2point mul 4 dpi2point mul] 0 setdash } bdef /DA { [6 dpi2point mul] 0 setdash } bdef /DD { [.5 dpi2point mul 4 dpi2point mul 6 dpi2point mul 4 dpi2point mul] 0 setdash } bdef % macros for lines and objects /L {lineto stroke} bdef /MP {3 1 roll moveto 1 sub {rlineto} repeat} bdef /AP {{rlineto} repeat} bdef /PDlw -1 def /W {/PDlw currentlinewidth def setlinewidth} def /PP {closepath eofill} bdef /DP {closepath stroke} bdef /MR {4 -2 roll moveto dup 0 exch rlineto exch 0 rlineto neg 0 exch rlineto closepath} bdef /FR {MR stroke} bdef /PR {MR fill} bdef /L1i {{currentfile picstr readhexstring pop} image} bdef /tMatrix matrix def /MakeOval {newpath tMatrix currentmatrix pop translate scale 0 0 1 0 360 arc tMatrix setmatrix} bdef /FO {MakeOval stroke} bdef /PO {MakeOval fill} bdef /PD {currentlinewidth 2 div 0 360 arc fill PDlw -1 eq not {PDlw w /PDlw -1 def} if} def /FA {newpath tMatrix currentmatrix pop translate scale 0 0 1 5 -2 roll arc tMatrix setmatrix stroke} bdef /PA {newpath tMatrix currentmatrix pop translate 0 0 moveto scale 0 0 1 5 -2 roll arc closepath tMatrix setmatrix fill} bdef /FAn {newpath tMatrix currentmatrix pop translate scale 0 0 1 5 -2 roll arcn tMatrix setmatrix stroke} bdef /PAn {newpath tMatrix currentmatrix pop translate 0 0 moveto scale 0 0 1 5 -2 roll arcn closepath tMatrix setmatrix fill} bdef /vradius 0 def /hradius 0 def /lry 0 def /lrx 0 def /uly 0 def /ulx 0 def /rad 0 def /MRR {/vradius xdef /hradius xdef /lry xdef /lrx xdef /uly xdef /ulx xdef newpath tMatrix currentmatrix pop ulx hradius add uly vradius add translate hradius vradius scale 0 0 1 180 270 arc tMatrix setmatrix lrx hradius sub uly vradius add translate hradius vradius scale 0 0 1 270 360 arc tMatrix setmatrix lrx hradius sub lry vradius sub translate hradius vradius scale 0 0 1 0 90 arc tMatrix setmatrix ulx hradius add lry vradius sub translate hradius vradius scale 0 0 1 90 180 arc tMatrix setmatrix closepath} bdef /FRR {MRR stroke } bdef /PRR {MRR fill } bdef /MlrRR {/lry xdef /lrx xdef /uly xdef /ulx xdef /rad lry uly sub 2 div def newpath tMatrix currentmatrix pop ulx rad add uly rad add translate rad rad scale 0 0 1 90 270 arc tMatrix setmatrix lrx rad sub lry rad sub translate rad rad scale 0 0 1 270 90 arc tMatrix setmatrix closepath} bdef /FlrRR {MlrRR stroke } bdef /PlrRR {MlrRR fill } bdef /MtbRR {/lry xdef /lrx xdef /uly xdef /ulx xdef /rad lrx ulx sub 2 div def newpath tMatrix currentmatrix pop ulx rad add uly rad add translate rad rad scale 0 0 1 180 360 arc tMatrix setmatrix lrx rad sub lry rad sub translate rad rad scale 0 0 1 0 180 arc tMatrix setmatrix closepath} bdef /FtbRR {MtbRR stroke } bdef /PtbRR {MtbRR fill } bdef /stri 6 array def /dtri 6 array def /smat 6 array def /dmat 6 array def /tmat1 6 array def /tmat2 6 array def /dif 3 array def /asub {/ind2 exch def /ind1 exch def dup dup ind1 get exch ind2 get sub exch } bdef /tri_to_matrix { 2 0 asub 3 1 asub 4 0 asub 5 1 asub dup 0 get exch 1 get 7 -1 roll astore } bdef /compute_transform { dmat dtri tri_to_matrix tmat1 invertmatrix smat stri tri_to_matrix tmat2 concatmatrix } bdef /ds {stri astore pop} bdef /dt {dtri astore pop} bdef /db {2 copy /cols xdef /rows xdef mul dup 3 mul string currentfile exch readhexstring pop dup 0 3 index getinterval /rbmap xdef dup 2 index dup getinterval /gbmap xdef 1 index dup 2 mul exch getinterval /bbmap xdef pop pop}bdef /it {gs np dtri aload pop moveto lineto lineto cp c cols rows 8 compute_transform rbmap gbmap bbmap true 3 colorimage gr}bdef /il {newpath moveto lineto stroke}bdef currentdict end def %%EndProlog %%BeginSetup MathWorks begin 0 cap end %%EndSetup %%Page: 1 1 %%BeginPageSetup %%PageBoundingBox: 76 416 289 601 MathWorks begin bpage %%EndPageSetup %%BeginObject: obj1 bplot /dpi2point 12 def portraitMode 0216 7344 csm 698 121 2561 2224 MR c np 92 dict begin %Colortable dictionary /c0 { 0 0 0 sr} bdef /c1 { 1 1 1 sr} bdef /c2 { 1 0 0 sr} bdef /c3 { 0 1 0 sr} bdef /c4 { 0 0 1 sr} bdef /c5 { 1 1 0 sr} bdef /c6 { 1 0 1 sr} bdef /c7 { 0 1 1 sr} bdef c0 1 j 1 sg 0 0 6918 5185 PR 6 w 0 1783 2262 0 0 -1783 899 2172 4 MP PP -2262 0 0 1783 2262 0 0 -1783 899 2172 5 MP stroke 4 w DO SO 6 w 0 sg 899 2172 mt 3161 2172 L 899 389 mt 3161 389 L 899 2172 mt 899 389 L 3161 2172 mt 3161 389 L 899 2172 mt 3161 2172 L 899 2172 mt 899 389 L 899 2172 mt 899 2149 L 899 389 mt 899 411 L %%IncludeResource: font Helvetica /Helvetica /ISOLatin1Encoding 120 FMSR 866 2317 mt (3) s 1653 2172 mt 1653 2149 L 1653 389 mt 1653 411 L 1620 2317 mt (4) s 2407 2172 mt 2407 2149 L 2407 389 mt 2407 411 L 2374 2317 mt (6) s 3161 2172 mt 3161 2149 L 3161 389 mt 3161 411 L 3128 2317 mt (8) s 899 2118 mt 921 2118 L 3161 2118 mt 3138 2118 L 698 2162 mt (1.5) s 899 1873 mt 921 1873 L 3161 1873 mt 3138 1873 L 798 1917 mt (2) s 899 1628 mt 921 1628 L 3161 1628 mt 3138 1628 L 698 1672 mt (2.5) s 899 1384 mt 921 1384 L 3161 1384 mt 3138 1384 L 798 1428 mt (3) s 899 1139 mt 921 1139 L 3161 1139 mt 3138 1139 L 698 1183 mt (3.5) s 899 895 mt 921 895 L 3161 895 mt 3138 895 L 798 939 mt (4) s 899 650 mt 921 650 L 3161 650 mt 3138 650 L 698 694 mt (4.5) s 899 405 mt 921 405 L 3161 405 mt 3138 405 L 798 449 mt (5) s 899 335 mt (x 10) s %%IncludeResource: font Helvetica /Helvetica /ISOLatin1Encoding 80 FMSR 1125 261 mt (-3) s 899 2172 mt 3161 2172 L 899 389 mt 3161 389 L 899 2172 mt 899 389 L 3161 2172 mt 3161 389 L gs 899 389 2263 1784 MR c np DA 754 -20 754 17 754 -182 899 729 4 MP stroke gr DA SO 0 j 24 31 -24 31 -24 -31 24 -31 899 760 5 MP gs PP gr DP 24 31 -24 31 -24 -31 24 -31 1653 578 5 MP gs PP gr DP 24 31 -24 31 -24 -31 24 -31 2407 595 5 MP gs PP gr DP 24 31 -24 31 -24 -31 24 -31 3161 575 5 MP gs PP gr DP DA gs 899 389 2263 1784 MR c np SO 754 0 754 -11 754 -118 899 653 4 MP stroke gr SO 24 31 -24 31 -24 -31 24 -31 899 684 5 MP gs PP gr DP 24 31 -24 31 -24 -31 24 -31 1653 566 5 MP gs PP gr DP 24 31 -24 31 -24 -31 24 -31 2407 555 5 MP gs PP gr DP 24 31 -24 31 -24 -31 24 -31 3161 555 5 MP gs PP gr DP gs 899 389 2263 1784 MR c np DD 754 -77 754 39 754 -340 899 908 4 MP stroke gr DD SO 24 31 -24 31 -24 -31 24 -31 899 939 5 MP gs PP gr DP 24 31 -24 31 -24 -31 24 -31 1653 599 5 MP gs PP gr DP 24 31 -24 31 -24 -31 24 -31 2407 638 5 MP gs PP gr DP 24 31 -24 31 -24 -31 24 -31 3161 561 5 MP gs PP gr DP DD gs 899 389 2263 1784 MR c np DA /c8 { 0.000000 0.000000 1.000000 sr} bdef c8 754 -218 754 -266 754 -230 899 1801 4 MP stroke gr c8 DA SO 24 24 899 1801 PO 24 24 1653 1571 PO 24 24 2407 1305 PO 24 24 3161 1087 PO 24 24 899 1801 FO 24 24 1653 1571 FO 24 24 2407 1305 FO 24 24 3161 1087 FO DA gs 899 389 2263 1784 MR c np SO 754 -169 754 -379 754 -81 899 2136 4 MP stroke gr SO 24 24 899 2136 PO 24 24 1653 2055 PO 24 24 2407 1676 PO 24 24 3161 1507 PO 24 24 899 2136 FO 24 24 1653 2055 FO 24 24 2407 1676 FO 24 24 3161 1507 FO gs 899 389 2263 1784 MR c np DD 754 -99 754 -364 754 -158 899 1296 4 MP stroke gr DD SO 24 24 899 1296 PO 24 24 1653 1138 PO 24 24 2407 774 PO 24 24 3161 675 PO 24 24 899 1296 FO 24 24 1653 1138 FO 24 24 2407 774 FO 24 24 3161 675 FO DD gs 899 389 2263 1784 MR c np DO /c9 { 1.000000 0.000000 0.000000 sr} bdef c9 754 -45 754 -116 754 -353 899 1287 4 MP stroke gr c9 DO SO 0 -38 -38 0 0 38 38 0 880 1268 5 MP gs PP gr DP 0 -38 -38 0 0 38 38 0 1634 915 5 MP gs PP gr DP 0 -38 -38 0 0 38 38 0 2388 799 5 MP gs PP gr DP 0 -38 -38 0 0 38 38 0 3142 754 5 MP gs PP gr DP DO gs 899 389 2263 1784 MR c np 754 0 754 0 754 0 899 506 4 MP stroke gr 0 sg %%IncludeResource: font Helvetica /Helvetica /ISOLatin1Encoding 144 FMSR 1374 303 mt (Mixed coupling \(0.25,0.25\)) s SO end eplot %%EndObject epage end showpage %%Trailer %%EOF %%EndDocument @endspecial 832 w @beginspecial 70 @llx 416 @lly 289 @urx 603 @ury 936 @rwi @setspecial %%BeginDocument: figures/mixerr1.eps %!PS-Adobe-2.0 EPSF-1.2 %%Creator: MATLAB, The Mathworks, Inc. %%Title: /home/eecs/epxing/matlab/GMF/fig/mixerr1.eps %%CreationDate: 06/04/2003 14:08:48 %%DocumentNeededFonts: Helvetica %%DocumentProcessColors: Cyan Magenta Yellow Black %%Extensions: CMYK %%Pages: 1 %%BoundingBox: 70 416 289 603 %%EndComments %%BeginProlog % MathWorks dictionary /MathWorks 160 dict begin % definition operators /bdef {bind def} bind def /ldef {load def} bind def /xdef {exch def} bdef /xstore {exch store} bdef % operator abbreviations /c /clip ldef /cc /concat ldef /cp /closepath ldef /gr /grestore ldef /gs /gsave ldef /mt /moveto ldef /np /newpath ldef /cm /currentmatrix ldef /sm /setmatrix ldef /rm /rmoveto ldef /rl /rlineto ldef /s /show ldef /sc {setcmykcolor} bdef /sr /setrgbcolor ldef /sg /setgray ldef /w /setlinewidth ldef /j /setlinejoin ldef /cap /setlinecap ldef /rc {rectclip} bdef /rf {rectfill} bdef % page state control /pgsv () def /bpage {/pgsv save def} bdef /epage {pgsv restore} bdef /bplot /gsave ldef /eplot {stroke grestore} bdef % orientation switch /portraitMode 0 def /landscapeMode 1 def /rotateMode 2 def % coordinate system mappings /dpi2point 0 def % font control /FontSize 0 def /FMS {/FontSize xstore findfont [FontSize 0 0 FontSize neg 0 0] makefont setfont} bdef /reencode {exch dup where {pop load} {pop StandardEncoding} ifelse exch dup 3 1 roll findfont dup length dict begin { 1 index /FID ne {def}{pop pop} ifelse } forall /Encoding exch def currentdict end definefont pop} bdef /isroman {findfont /CharStrings get /Agrave known} bdef /FMSR {3 1 roll 1 index dup isroman {reencode} {pop pop} ifelse exch FMS} bdef /csm {1 dpi2point div -1 dpi2point div scale neg translate dup landscapeMode eq {pop -90 rotate} {rotateMode eq {90 rotate} if} ifelse} bdef % line types: solid, dotted, dashed, dotdash /SO { [] 0 setdash } bdef /DO { [.5 dpi2point mul 4 dpi2point mul] 0 setdash } bdef /DA { [6 dpi2point mul] 0 setdash } bdef /DD { [.5 dpi2point mul 4 dpi2point mul 6 dpi2point mul 4 dpi2point mul] 0 setdash } bdef % macros for lines and objects /L {lineto stroke} bdef /MP {3 1 roll moveto 1 sub {rlineto} repeat} bdef /AP {{rlineto} repeat} bdef /PDlw -1 def /W {/PDlw currentlinewidth def setlinewidth} def /PP {closepath eofill} bdef /DP {closepath stroke} bdef /MR {4 -2 roll moveto dup 0 exch rlineto exch 0 rlineto neg 0 exch rlineto closepath} bdef /FR {MR stroke} bdef /PR {MR fill} bdef /L1i {{currentfile picstr readhexstring pop} image} bdef /tMatrix matrix def /MakeOval {newpath tMatrix currentmatrix pop translate scale 0 0 1 0 360 arc tMatrix setmatrix} bdef /FO {MakeOval stroke} bdef /PO {MakeOval fill} bdef /PD {currentlinewidth 2 div 0 360 arc fill PDlw -1 eq not {PDlw w /PDlw -1 def} if} def /FA {newpath tMatrix currentmatrix pop translate scale 0 0 1 5 -2 roll arc tMatrix setmatrix stroke} bdef /PA {newpath tMatrix currentmatrix pop translate 0 0 moveto scale 0 0 1 5 -2 roll arc closepath tMatrix setmatrix fill} bdef /FAn {newpath tMatrix currentmatrix pop translate scale 0 0 1 5 -2 roll arcn tMatrix setmatrix stroke} bdef /PAn {newpath tMatrix currentmatrix pop translate 0 0 moveto scale 0 0 1 5 -2 roll arcn closepath tMatrix setmatrix fill} bdef /vradius 0 def /hradius 0 def /lry 0 def /lrx 0 def /uly 0 def /ulx 0 def /rad 0 def /MRR {/vradius xdef /hradius xdef /lry xdef /lrx xdef /uly xdef /ulx xdef newpath tMatrix currentmatrix pop ulx hradius add uly vradius add translate hradius vradius scale 0 0 1 180 270 arc tMatrix setmatrix lrx hradius sub uly vradius add translate hradius vradius scale 0 0 1 270 360 arc tMatrix setmatrix lrx hradius sub lry vradius sub translate hradius vradius scale 0 0 1 0 90 arc tMatrix setmatrix ulx hradius add lry vradius sub translate hradius vradius scale 0 0 1 90 180 arc tMatrix setmatrix closepath} bdef /FRR {MRR stroke } bdef /PRR {MRR fill } bdef /MlrRR {/lry xdef /lrx xdef /uly xdef /ulx xdef /rad lry uly sub 2 div def newpath tMatrix currentmatrix pop ulx rad add uly rad add translate rad rad scale 0 0 1 90 270 arc tMatrix setmatrix lrx rad sub lry rad sub translate rad rad scale 0 0 1 270 90 arc tMatrix setmatrix closepath} bdef /FlrRR {MlrRR stroke } bdef /PlrRR {MlrRR fill } bdef /MtbRR {/lry xdef /lrx xdef /uly xdef /ulx xdef /rad lrx ulx sub 2 div def newpath tMatrix currentmatrix pop ulx rad add uly rad add translate rad rad scale 0 0 1 180 360 arc tMatrix setmatrix lrx rad sub lry rad sub translate rad rad scale 0 0 1 0 180 arc tMatrix setmatrix closepath} bdef /FtbRR {MtbRR stroke } bdef /PtbRR {MtbRR fill } bdef /stri 6 array def /dtri 6 array def /smat 6 array def /dmat 6 array def /tmat1 6 array def /tmat2 6 array def /dif 3 array def /asub {/ind2 exch def /ind1 exch def dup dup ind1 get exch ind2 get sub exch } bdef /tri_to_matrix { 2 0 asub 3 1 asub 4 0 asub 5 1 asub dup 0 get exch 1 get 7 -1 roll astore } bdef /compute_transform { dmat dtri tri_to_matrix tmat1 invertmatrix smat stri tri_to_matrix tmat2 concatmatrix } bdef /ds {stri astore pop} bdef /dt {dtri astore pop} bdef /db {2 copy /cols xdef /rows xdef mul dup 3 mul string currentfile exch readhexstring pop dup 0 3 index getinterval /rbmap xdef dup 2 index dup getinterval /gbmap xdef 1 index dup 2 mul exch getinterval /bbmap xdef pop pop}bdef /it {gs np dtri aload pop moveto lineto lineto cp c cols rows 8 compute_transform rbmap gbmap bbmap true 3 colorimage gr}bdef /il {newpath moveto lineto stroke}bdef currentdict end def %%EndProlog %%BeginSetup MathWorks begin 0 cap end %%EndSetup %%Page: 1 1 %%BeginPageSetup %%PageBoundingBox: 70 416 289 603 MathWorks begin bpage %%EndPageSetup %%BeginObject: obj1 bplot /dpi2point 12 def portraitMode 0216 7344 csm 631 107 2628 2238 MR c np 92 dict begin %Colortable dictionary /c0 { 0 0 0 sr} bdef /c1 { 1 1 1 sr} bdef /c2 { 1 0 0 sr} bdef /c3 { 0 1 0 sr} bdef /c4 { 0 0 1 sr} bdef /c5 { 1 1 0 sr} bdef /c6 { 1 0 1 sr} bdef /c7 { 0 1 1 sr} bdef c0 1 j 1 sg 0 0 6917 5185 PR 6 w 0 1783 2262 0 0 -1783 899 2172 4 MP PP -2262 0 0 1783 2262 0 0 -1783 899 2172 5 MP stroke 4 w DO SO 6 w 0 sg 899 2172 mt 3161 2172 L 899 389 mt 3161 389 L 899 2172 mt 899 389 L 3161 2172 mt 3161 389 L 899 2172 mt 3161 2172 L 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gr DA SO 0 j 24 31 -24 31 -24 -31 24 -31 899 774 5 MP gs PP gr DP 24 31 -24 31 -24 -31 24 -31 1653 605 5 MP gs PP gr DP 24 31 -24 31 -24 -31 24 -31 2407 701 5 MP gs PP gr DP 24 31 -24 31 -24 -31 24 -31 3161 560 5 MP gs PP gr DP DA gs 899 389 2263 1784 MR c np SO 754 -12 754 -56 754 -90 899 650 4 MP stroke gr SO 24 31 -24 31 -24 -31 24 -31 899 681 5 MP gs PP gr DP 24 31 -24 31 -24 -31 24 -31 1653 591 5 MP gs PP gr DP 24 31 -24 31 -24 -31 24 -31 2407 535 5 MP gs PP gr DP 24 31 -24 31 -24 -31 24 -31 3161 523 5 MP gs PP gr DP gs 899 389 2263 1784 MR c np DD 754 -72 754 -9 754 -399 899 983 4 MP stroke gr DD SO 24 31 -24 31 -24 -31 24 -31 899 1014 5 MP gs PP gr DP 24 31 -24 31 -24 -31 24 -31 1653 615 5 MP gs PP gr DP 24 31 -24 31 -24 -31 24 -31 2407 606 5 MP gs PP gr DP 24 31 -24 31 -24 -31 24 -31 3161 534 5 MP gs PP gr DP DD gs 899 389 2263 1784 MR c np DA /c8 { 0.000000 0.000000 1.000000 sr} bdef c8 754 -279 754 -332 754 -126 899 1993 4 MP stroke gr c8 DA SO 24 24 899 1993 PO 24 24 1653 1867 PO 24 24 2407 1535 PO 24 24 3161 1256 PO 24 24 899 1993 FO 24 24 1653 1867 FO 24 24 2407 1535 FO 24 24 3161 1256 FO DA gs 899 389 2263 1784 MR c np SO 754 -199 754 -223 754 -37 899 2156 4 MP stroke gr SO 24 24 899 2156 PO 24 24 1653 2119 PO 24 24 2407 1896 PO 24 24 3161 1697 PO 24 24 899 2156 FO 24 24 1653 2119 FO 24 24 2407 1896 FO 24 24 3161 1697 FO gs 899 389 2263 1784 MR c np DD 754 -132 754 -352 754 -201 899 1400 4 MP stroke gr DD SO 24 24 899 1400 PO 24 24 1653 1199 PO 24 24 2407 847 PO 24 24 3161 715 PO 24 24 899 1400 FO 24 24 1653 1199 FO 24 24 2407 847 FO 24 24 3161 715 FO DD gs 899 389 2263 1784 MR c np DO /c9 { 1.000000 0.000000 0.000000 sr} bdef c9 754 58 754 -167 754 -434 899 1409 4 MP stroke gr c9 DO SO 0 -38 -38 0 0 38 38 0 880 1390 5 MP gs PP gr DP 0 -38 -38 0 0 38 38 0 1634 956 5 MP gs PP gr DP 0 -38 -38 0 0 38 38 0 2388 789 5 MP gs PP gr DP 0 -38 -38 0 0 38 38 0 3142 847 5 MP gs PP gr DP DO gs 899 389 2263 1784 MR c np 754 0 754 0 754 0 899 487 4 MP stroke gr 0 sg %%IncludeResource: font Helvetica /Helvetica /ISOLatin1Encoding 144 FMSR 1224 289 mt (Mixed coupling \(0.25,0.5\)) s SO end eplot %%EndObject epage end showpage %%Trailer %%EOF %%EndDocument @endspecial 833 w @beginspecial 70 @llx 416 @lly 289 @urx 603 @ury 936 @rwi @setspecial %%BeginDocument: figures/mixerr3.eps %!PS-Adobe-2.0 EPSF-1.2 %%Creator: MATLAB, The Mathworks, Inc. %%Title: /home/eecs/epxing/matlab/GMF/mixerr3.eps %%CreationDate: 06/02/2003 00:03:51 %%DocumentNeededFonts: Helvetica %%DocumentProcessColors: Cyan Magenta Yellow Black %%Extensions: CMYK %%Pages: 1 %%BoundingBox: 70 416 289 603 %%EndComments %%BeginProlog % MathWorks dictionary /MathWorks 160 dict begin % definition operators /bdef {bind def} bind def /ldef {load def} bind def /xdef {exch def} bdef /xstore {exch store} bdef % operator abbreviations /c /clip ldef /cc /concat ldef /cp /closepath ldef /gr /grestore ldef /gs /gsave ldef /mt /moveto ldef /np /newpath ldef /cm /currentmatrix ldef /sm /setmatrix ldef /rm /rmoveto ldef /rl /rlineto ldef /s /show ldef /sc {setcmykcolor} bdef /sr /setrgbcolor ldef /sg /setgray ldef /w /setlinewidth ldef /j /setlinejoin ldef /cap /setlinecap ldef /rc {rectclip} bdef /rf {rectfill} bdef % page state control /pgsv () def /bpage {/pgsv save def} bdef /epage {pgsv restore} bdef /bplot /gsave ldef /eplot {stroke grestore} bdef % orientation switch /portraitMode 0 def /landscapeMode 1 def /rotateMode 2 def % coordinate system mappings /dpi2point 0 def % font control /FontSize 0 def /FMS {/FontSize xstore findfont [FontSize 0 0 FontSize neg 0 0] makefont setfont} bdef /reencode {exch dup where {pop load} {pop StandardEncoding} ifelse exch dup 3 1 roll findfont dup length dict begin { 1 index /FID ne {def}{pop pop} ifelse } forall /Encoding exch def currentdict end definefont pop} bdef /isroman {findfont /CharStrings get /Agrave known} bdef /FMSR {3 1 roll 1 index dup isroman {reencode} {pop pop} ifelse exch FMS} bdef /csm {1 dpi2point div -1 dpi2point div scale neg translate dup landscapeMode eq {pop -90 rotate} {rotateMode eq {90 rotate} if} ifelse} bdef % line types: solid, dotted, dashed, dotdash /SO { [] 0 setdash } bdef /DO { [.5 dpi2point mul 4 dpi2point mul] 0 setdash } bdef /DA { [6 dpi2point mul] 0 setdash } bdef /DD { [.5 dpi2point mul 4 dpi2point mul 6 dpi2point mul 4 dpi2point mul] 0 setdash } bdef % macros for lines and objects /L {lineto stroke} bdef /MP {3 1 roll moveto 1 sub {rlineto} repeat} bdef /AP {{rlineto} repeat} bdef /PDlw -1 def /W {/PDlw currentlinewidth def setlinewidth} def /PP {closepath eofill} bdef /DP {closepath stroke} bdef /MR {4 -2 roll moveto dup 0 exch rlineto exch 0 rlineto neg 0 exch rlineto closepath} bdef /FR {MR stroke} bdef /PR {MR fill} bdef /L1i {{currentfile picstr readhexstring pop} image} bdef /tMatrix matrix def /MakeOval {newpath tMatrix currentmatrix pop translate scale 0 0 1 0 360 arc tMatrix setmatrix} bdef /FO {MakeOval stroke} bdef /PO {MakeOval fill} bdef /PD {currentlinewidth 2 div 0 360 arc fill PDlw -1 eq not {PDlw w /PDlw -1 def} if} def /FA {newpath tMatrix currentmatrix pop translate scale 0 0 1 5 -2 roll arc tMatrix setmatrix stroke} bdef /PA {newpath tMatrix currentmatrix pop translate 0 0 moveto scale 0 0 1 5 -2 roll arc closepath tMatrix setmatrix fill} bdef /FAn {newpath tMatrix currentmatrix pop translate scale 0 0 1 5 -2 roll arcn tMatrix setmatrix stroke} bdef /PAn {newpath tMatrix currentmatrix pop translate 0 0 moveto scale 0 0 1 5 -2 roll arcn closepath tMatrix setmatrix fill} bdef /vradius 0 def /hradius 0 def /lry 0 def /lrx 0 def /uly 0 def /ulx 0 def /rad 0 def /MRR {/vradius xdef /hradius xdef /lry xdef /lrx xdef /uly xdef /ulx xdef newpath tMatrix currentmatrix pop ulx hradius add uly vradius add translate hradius vradius scale 0 0 1 180 270 arc tMatrix setmatrix lrx hradius sub uly vradius add translate hradius vradius scale 0 0 1 270 360 arc tMatrix setmatrix lrx hradius sub lry vradius sub translate hradius vradius scale 0 0 1 0 90 arc tMatrix setmatrix ulx hradius add lry vradius sub translate hradius vradius scale 0 0 1 90 180 arc tMatrix setmatrix closepath} bdef /FRR {MRR stroke } bdef /PRR {MRR fill } bdef /MlrRR {/lry xdef /lrx xdef /uly xdef /ulx xdef /rad lry uly sub 2 div def newpath tMatrix currentmatrix pop ulx rad add uly rad add translate rad rad scale 0 0 1 90 270 arc tMatrix setmatrix lrx rad sub lry rad sub translate rad rad scale 0 0 1 270 90 arc tMatrix setmatrix closepath} bdef /FlrRR {MlrRR stroke } bdef /PlrRR {MlrRR fill } bdef /MtbRR {/lry xdef /lrx xdef /uly xdef /ulx xdef /rad lrx ulx sub 2 div def newpath tMatrix currentmatrix pop ulx rad add uly rad add translate rad rad scale 0 0 1 180 360 arc tMatrix setmatrix lrx rad sub lry rad sub translate rad rad scale 0 0 1 0 180 arc tMatrix setmatrix closepath} bdef /FtbRR {MtbRR stroke } bdef /PtbRR {MtbRR fill } bdef /stri 6 array def /dtri 6 array def /smat 6 array def /dmat 6 array def /tmat1 6 array def /tmat2 6 array def /dif 3 array def /asub {/ind2 exch def /ind1 exch def dup dup ind1 get exch ind2 get sub exch } bdef /tri_to_matrix { 2 0 asub 3 1 asub 4 0 asub 5 1 asub dup 0 get exch 1 get 7 -1 roll astore } bdef /compute_transform { dmat dtri tri_to_matrix tmat1 invertmatrix smat stri tri_to_matrix tmat2 concatmatrix } bdef /ds {stri astore pop} bdef /dt {dtri astore pop} bdef /db {2 copy /cols xdef /rows xdef mul dup 3 mul string currentfile exch readhexstring pop dup 0 3 index getinterval /rbmap xdef dup 2 index dup getinterval /gbmap xdef 1 index dup 2 mul exch getinterval /bbmap xdef pop pop}bdef /it {gs np dtri aload pop moveto lineto lineto cp c cols rows 8 compute_transform rbmap gbmap bbmap true 3 colorimage gr}bdef /il {newpath moveto lineto stroke}bdef currentdict end def %%EndProlog %%BeginSetup MathWorks begin 0 cap end %%EndSetup %%Page: 1 1 %%BeginPageSetup %%PageBoundingBox: 70 416 289 603 MathWorks begin bpage %%EndPageSetup %%BeginObject: obj1 bplot /dpi2point 12 def portraitMode 0216 7344 csm 631 107 2628 2238 MR c np 92 dict begin %Colortable dictionary /c0 { 0 0 0 sr} bdef /c1 { 1 1 1 sr} bdef /c2 { 1 0 0 sr} bdef /c3 { 0 1 0 sr} bdef /c4 { 0 0 1 sr} bdef /c5 { 1 1 0 sr} bdef /c6 { 1 0 1 sr} bdef /c7 { 0 1 1 sr} bdef c0 1 j 1 sg 0 0 6918 5185 PR 6 w 0 1784 2262 0 0 -1784 899 2172 4 MP PP -2262 0 0 1784 2262 0 0 -1784 899 2172 5 MP stroke 4 w DO SO 6 w 0 sg 899 2172 mt 3161 2172 L 899 388 mt 3161 388 L 899 2172 mt 899 388 L 3161 2172 mt 3161 388 L 899 2172 mt 3161 2172 L 899 2172 mt 899 388 L 899 2172 mt 899 2149 L 899 389 mt 899 411 L %%IncludeResource: font Helvetica /Helvetica /ISOLatin1Encoding 120 FMSR 866 2317 mt (3) s 1653 2172 mt 1653 2149 L 1653 389 mt 1653 411 L 1620 2317 mt (4) s 2407 2172 mt 2407 2149 L 2407 389 mt 2407 411 L 2374 2317 mt (6) s 3161 2172 mt 3161 2149 L 3161 389 mt 3161 411 L 3128 2317 mt (8) s 899 2161 mt 921 2161 L 3161 2161 mt 3138 2161 L 631 2205 mt (0.18) s 899 1886 mt 921 1886 L 3161 1886 mt 3138 1886 L 698 1930 mt (0.2) s 899 1611 mt 921 1611 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gr DP gs 899 389 2263 1784 MR c np DD 754 -13 754 -82 754 -95 899 842 4 MP stroke gr DD SO 24 31 -24 31 -24 -31 24 -31 899 873 5 MP gs PP gr DP 24 31 -24 31 -24 -31 24 -31 1653 778 5 MP gs PP gr DP 24 31 -24 31 -24 -31 24 -31 2407 696 5 MP gs PP gr DP 24 31 -24 31 -24 -31 24 -31 3161 683 5 MP gs PP gr DP DD gs 899 389 2263 1784 MR c np DA /c8 { 0.000000 0.000000 1.000000 sr} bdef c8 754 -273 754 -130 754 -199 899 1565 4 MP stroke gr c8 DA SO 24 24 899 1565 PO 24 24 1653 1366 PO 24 24 2407 1236 PO 24 24 3161 963 PO 24 24 899 1565 FO 24 24 1653 1366 FO 24 24 2407 1236 FO 24 24 3161 963 FO DA gs 899 389 2263 1784 MR c np SO 754 -318 754 -207 754 -329 899 2042 4 MP stroke gr SO 24 24 899 2042 PO 24 24 1653 1713 PO 24 24 2407 1506 PO 24 24 3161 1188 PO 24 24 899 2042 FO 24 24 1653 1713 FO 24 24 2407 1506 FO 24 24 3161 1188 FO gs 899 389 2263 1784 MR c np DD 754 -12 754 -264 754 -101 899 1081 4 MP stroke gr DD SO 24 24 899 1081 PO 24 24 1653 980 PO 24 24 2407 716 PO 24 24 3161 704 PO 24 24 899 1081 FO 24 24 1653 980 FO 24 24 2407 716 FO 24 24 3161 704 FO DD gs 899 389 2263 1784 MR c np DO /c9 { 1.000000 0.000000 0.000000 sr} bdef c9 754 -76 754 -149 754 -64 899 976 4 MP stroke gr c9 DO SO 0 -38 -38 0 0 38 38 0 880 957 5 MP gs PP gr DP 0 -38 -38 0 0 38 38 0 1634 893 5 MP gs PP gr DP 0 -38 -38 0 0 38 38 0 2388 744 5 MP gs PP gr DP 0 -38 -38 0 0 38 38 0 3142 668 5 MP gs PP gr DP DO gs 899 389 2263 1784 MR c np 754 0 754 0 754 0 899 640 4 MP stroke gr 0 sg %%IncludeResource: font Helvetica /Helvetica /ISOLatin1Encoding 144 FMSR 1284 289 mt (Mixed coupling \(0.25,1\)) s SO end eplot %%EndObject epage end showpage %%Trailer %%EOF %%EndDocument @endspecial 30 2144 a FA(Figure)18 b(1:)32 b Fn(`)412 2152 y Fm(1)463 2144 y Fi(errors)18 b(of)g(singleton)h(marginals)g(on)e (random)g(graphs,)j(with)d(di\013eren)n(t)g(coupling)h(t)n(yp)r(es,)g (and)f(strengths.)32 b(Eac)n(h)17 b(exp)r(erimen)n(t)30 2228 y(is)32 b(based)g(on)g(20)g(trials.)54 b(The)32 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/epage {pgsv restore} bdef /bplot /gsave ldef /eplot {stroke grestore} bdef % orientation switch /portraitMode 0 def /landscapeMode 1 def /rotateMode 2 def % coordinate system mappings /dpi2point 0 def % font control /FontSize 0 def /FMS {/FontSize xstore findfont [FontSize 0 0 FontSize neg 0 0] makefont setfont} bdef /reencode {exch dup where {pop load} {pop StandardEncoding} ifelse exch dup 3 1 roll findfont dup length dict begin { 1 index /FID ne {def}{pop pop} ifelse } forall /Encoding exch def currentdict end definefont pop} bdef /isroman {findfont /CharStrings get /Agrave known} bdef /FMSR {3 1 roll 1 index dup isroman {reencode} {pop pop} ifelse exch FMS} bdef /csm {1 dpi2point div -1 dpi2point div scale neg translate dup landscapeMode eq {pop -90 rotate} {rotateMode eq {90 rotate} if} ifelse} bdef % line types: solid, dotted, dashed, dotdash /SO { [] 0 setdash } bdef /DO { [.5 dpi2point mul 4 dpi2point mul] 0 setdash } bdef /DA { [6 dpi2point mul] 0 setdash } bdef /DD { [.5 dpi2point mul 4 dpi2point mul 6 dpi2point mul 4 dpi2point mul] 0 setdash } bdef % macros for lines and objects /L {lineto stroke} bdef /MP {3 1 roll moveto 1 sub {rlineto} repeat} bdef /AP {{rlineto} repeat} bdef /PDlw -1 def /W {/PDlw currentlinewidth def setlinewidth} def /PP {closepath eofill} bdef /DP {closepath stroke} bdef /MR {4 -2 roll moveto dup 0 exch rlineto exch 0 rlineto neg 0 exch rlineto closepath} bdef /FR {MR stroke} bdef /PR {MR fill} bdef /L1i {{currentfile picstr readhexstring pop} image} bdef /tMatrix matrix def /MakeOval {newpath tMatrix currentmatrix pop translate scale 0 0 1 0 360 arc tMatrix setmatrix} bdef /FO {MakeOval stroke} bdef /PO {MakeOval fill} bdef /PD {currentlinewidth 2 div 0 360 arc fill PDlw -1 eq not {PDlw w /PDlw -1 def} if} def /FA {newpath tMatrix currentmatrix pop translate scale 0 0 1 5 -2 roll arc tMatrix setmatrix stroke} bdef /PA {newpath tMatrix currentmatrix pop translate 0 0 moveto scale 0 0 1 5 -2 roll arc closepath tMatrix setmatrix fill} bdef /FAn {newpath tMatrix currentmatrix pop translate scale 0 0 1 5 -2 roll arcn tMatrix setmatrix stroke} bdef /PAn {newpath tMatrix currentmatrix pop translate 0 0 moveto scale 0 0 1 5 -2 roll arcn closepath tMatrix setmatrix fill} bdef /vradius 0 def /hradius 0 def /lry 0 def /lrx 0 def /uly 0 def /ulx 0 def /rad 0 def /MRR {/vradius xdef /hradius xdef /lry xdef /lrx xdef /uly xdef /ulx xdef newpath tMatrix currentmatrix pop ulx hradius add uly vradius add translate hradius vradius scale 0 0 1 180 270 arc tMatrix setmatrix lrx hradius sub uly vradius add translate hradius vradius scale 0 0 1 270 360 arc tMatrix setmatrix lrx hradius sub lry vradius sub translate hradius vradius scale 0 0 1 0 90 arc tMatrix setmatrix ulx hradius add lry vradius sub translate hradius vradius scale 0 0 1 90 180 arc tMatrix setmatrix closepath} bdef /FRR {MRR stroke } bdef /PRR {MRR fill } bdef /MlrRR {/lry xdef /lrx xdef /uly xdef /ulx xdef /rad lry uly sub 2 div def newpath tMatrix currentmatrix pop ulx rad add uly rad add translate rad rad scale 0 0 1 90 270 arc tMatrix setmatrix lrx rad sub lry rad sub translate rad rad scale 0 0 1 270 90 arc tMatrix setmatrix closepath} bdef /FlrRR {MlrRR stroke } bdef /PlrRR {MlrRR fill } bdef /MtbRR {/lry xdef /lrx xdef /uly xdef /ulx xdef /rad lrx ulx sub 2 div def newpath tMatrix currentmatrix pop ulx rad add uly rad add translate rad rad scale 0 0 1 180 360 arc tMatrix setmatrix lrx rad sub lry rad sub translate rad rad scale 0 0 1 0 180 arc tMatrix setmatrix closepath} bdef /FtbRR {MtbRR stroke } bdef /PtbRR {MtbRR fill } bdef /stri 6 array def /dtri 6 array def /smat 6 array def /dmat 6 array def /tmat1 6 array def /tmat2 6 array def /dif 3 array def /asub {/ind2 exch def /ind1 exch def dup dup ind1 get exch ind2 get sub exch } bdef /tri_to_matrix { 2 0 asub 3 1 asub 4 0 asub 5 1 asub dup 0 get exch 1 get 7 -1 roll astore } bdef /compute_transform { dmat dtri tri_to_matrix tmat1 invertmatrix smat stri tri_to_matrix tmat2 concatmatrix } bdef /ds {stri astore pop} bdef /dt {dtri astore pop} bdef /db {2 copy /cols xdef /rows xdef mul dup 3 mul string currentfile exch readhexstring pop dup 0 3 index getinterval /rbmap xdef dup 2 index dup getinterval /gbmap xdef 1 index dup 2 mul exch getinterval /bbmap xdef pop pop}bdef /it {gs np dtri aload pop moveto lineto lineto cp c cols rows 8 compute_transform rbmap gbmap bbmap true 3 colorimage gr}bdef /il {newpath moveto lineto stroke}bdef currentdict end def %%EndProlog %%BeginSetup MathWorks begin 0 cap end %%EndSetup %%Page: 1 1 %%BeginPageSetup %%PageBoundingBox: 65 416 289 603 MathWorks begin bpage %%EndPageSetup %%BeginObject: obj1 bplot /dpi2point 12 def portraitMode 0216 7344 csm 564 107 2695 2238 MR c np 92 dict begin %Colortable dictionary /c0 { 0 0 0 sr} bdef /c1 { 1 1 1 sr} bdef /c2 { 1 0 0 sr} bdef /c3 { 0 1 0 sr} bdef /c4 { 0 0 1 sr} bdef /c5 { 1 1 0 sr} bdef /c6 { 1 0 1 sr} bdef /c7 { 0 1 1 sr} bdef c0 1 j 1 sg 0 0 6918 5185 PR 6 w 0 1784 2262 0 0 -1784 899 2172 4 MP PP -2262 0 0 1784 2262 0 0 -1784 899 2172 5 MP stroke 4 w DO SO 6 w 0 sg 899 2172 mt 3161 2172 L 899 388 mt 3161 388 L 899 2172 mt 899 388 L 3161 2172 mt 3161 388 L 899 2172 mt 3161 2172 L 899 2172 mt 899 388 L 899 2172 mt 899 2149 L 899 389 mt 899 411 L %%IncludeResource: font Helvetica /Helvetica /ISOLatin1Encoding 120 FMSR 866 2317 mt (3) s 1653 2172 mt 1653 2149 L 1653 389 mt 1653 411 L 1620 2317 mt (4) s 2407 2172 mt 2407 2149 L 2407 389 mt 2407 411 L 2374 2317 mt (6) s 3161 2172 mt 3161 2149 L 3161 389 mt 3161 411 L 3128 2317 mt (8) s 899 2172 mt 921 2172 L 3161 2172 mt 3138 2172 L 564 2216 mt (0.988) s 899 1815 mt 921 1815 L 3161 1815 mt 3138 1815 L 631 1859 mt (0.99) s 899 1458 mt 921 1458 L 3161 1458 mt 3138 1458 L 564 1502 mt (0.992) s 899 1102 mt 921 1102 L 3161 1102 mt 3138 1102 L 564 1146 mt (0.994) s 899 745 mt 921 745 L 3161 745 mt 3138 745 L 564 789 mt (0.996) s 899 389 mt 921 389 L 3161 389 mt 3138 389 L 564 433 mt (0.998) s 899 2172 mt 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899 389 2263 1784 MR c np DA /c8 { 0.000000 0.000000 1.000000 sr} bdef c8 754 161 754 260 754 134 899 978 4 MP stroke gr c8 DA SO 24 24 899 978 PO 24 24 1653 1112 PO 24 24 2407 1372 PO 24 24 3161 1533 PO 24 24 899 978 FO 24 24 1653 1112 FO 24 24 2407 1372 FO 24 24 3161 1533 FO DA gs 899 389 2263 1784 MR c np SO 754 169 754 219 754 141 899 857 4 MP stroke gr SO 24 24 899 857 PO 24 24 1653 998 PO 24 24 2407 1217 PO 24 24 3161 1386 PO 24 24 899 857 FO 24 24 1653 998 FO 24 24 2407 1217 FO 24 24 3161 1386 FO gs 899 389 2263 1784 MR c np DD 754 117 754 209 754 165 899 1289 4 MP stroke gr DD SO 24 24 899 1289 PO 24 24 1653 1454 PO 24 24 2407 1663 PO 24 24 3161 1780 PO 24 24 899 1289 FO 24 24 1653 1454 FO 24 24 2407 1663 FO 24 24 3161 1780 FO DD gs 899 389 2263 1784 MR c np DO /c9 { 1.000000 0.000000 0.000000 sr} bdef c9 754 64 754 162 754 202 899 1428 4 MP stroke gr c9 DO SO 0 -38 -38 0 0 38 38 0 880 1409 5 MP gs PP gr DP 0 -38 -38 0 0 38 38 0 1634 1611 5 MP gs PP gr DP 0 -38 -38 0 0 38 38 0 2388 1773 5 MP gs PP gr DP 0 -38 -38 0 0 38 38 0 3142 1837 5 MP gs PP gr DP DO gs 899 389 2263 1784 MR c np 754 0 754 0 754 0 899 1995 4 MP stroke gr 0 sg %%IncludeResource: font Helvetica /Helvetica /ISOLatin1Encoding 144 FMSR 1076 289 mt (Attractive coupling \(0.25,0.12\)) s SO end eplot %%EndObject epage end showpage %%Trailer %%EOF %%EndDocument @endspecial 832 w @beginspecial 65 @llx 416 @lly 289 @urx 603 @ury 936 @rwi @setspecial %%BeginDocument: figures/bound3.eps %!PS-Adobe-2.0 EPSF-1.2 %%Creator: MATLAB, The Mathworks, Inc. %%Title: /home/eecs/epxing/matlab/GMF/bound3.eps %%CreationDate: 06/01/2003 23:46:51 %%DocumentNeededFonts: Helvetica %%DocumentProcessColors: Cyan Magenta Yellow Black %%Extensions: CMYK %%Pages: 1 %%BoundingBox: 65 416 289 603 %%EndComments %%BeginProlog % MathWorks dictionary /MathWorks 160 dict begin % definition operators /bdef {bind def} bind def /ldef {load def} bind def /xdef {exch def} bdef /xstore {exch store} bdef % operator abbreviations /c /clip ldef /cc /concat ldef /cp /closepath ldef /gr /grestore ldef /gs /gsave ldef /mt /moveto ldef /np /newpath ldef /cm /currentmatrix ldef /sm /setmatrix ldef /rm /rmoveto ldef /rl /rlineto ldef /s /show ldef /sc {setcmykcolor} bdef /sr /setrgbcolor ldef /sg /setgray ldef /w /setlinewidth ldef /j /setlinejoin ldef /cap /setlinecap ldef /rc {rectclip} bdef /rf {rectfill} bdef % page state control /pgsv () def /bpage {/pgsv save def} bdef /epage {pgsv restore} bdef /bplot /gsave ldef /eplot {stroke grestore} bdef % orientation switch /portraitMode 0 def /landscapeMode 1 def /rotateMode 2 def % coordinate system mappings /dpi2point 0 def % font control /FontSize 0 def /FMS {/FontSize xstore findfont [FontSize 0 0 FontSize neg 0 0] makefont setfont} bdef /reencode {exch dup where {pop load} {pop StandardEncoding} ifelse exch dup 3 1 roll findfont dup length dict begin { 1 index /FID ne {def}{pop pop} ifelse } forall /Encoding exch def currentdict end definefont pop} bdef /isroman {findfont /CharStrings get /Agrave known} bdef /FMSR {3 1 roll 1 index dup isroman {reencode} {pop pop} ifelse exch FMS} bdef /csm {1 dpi2point div -1 dpi2point div scale neg translate dup landscapeMode eq {pop -90 rotate} {rotateMode eq {90 rotate} if} ifelse} bdef % line types: solid, dotted, dashed, dotdash /SO { [] 0 setdash } bdef /DO { [.5 dpi2point mul 4 dpi2point mul] 0 setdash } bdef /DA { [6 dpi2point mul] 0 setdash } bdef /DD { [.5 dpi2point mul 4 dpi2point mul 6 dpi2point mul 4 dpi2point mul] 0 setdash } bdef % macros for lines and objects /L {lineto stroke} bdef /MP {3 1 roll moveto 1 sub {rlineto} repeat} bdef /AP {{rlineto} repeat} bdef /PDlw -1 def /W {/PDlw currentlinewidth def setlinewidth} def /PP {closepath eofill} bdef /DP {closepath stroke} bdef /MR {4 -2 roll moveto dup 0 exch rlineto exch 0 rlineto neg 0 exch rlineto closepath} bdef /FR {MR stroke} bdef /PR {MR fill} bdef /L1i {{currentfile picstr readhexstring pop} image} bdef /tMatrix matrix def /MakeOval {newpath tMatrix currentmatrix pop translate scale 0 0 1 0 360 arc tMatrix setmatrix} bdef /FO {MakeOval stroke} bdef /PO {MakeOval fill} bdef /PD {currentlinewidth 2 div 0 360 arc fill PDlw -1 eq not {PDlw w /PDlw -1 def} if} def /FA {newpath tMatrix currentmatrix pop translate scale 0 0 1 5 -2 roll arc tMatrix setmatrix stroke} bdef /PA {newpath tMatrix currentmatrix pop translate 0 0 moveto scale 0 0 1 5 -2 roll arc closepath tMatrix setmatrix fill} bdef /FAn {newpath tMatrix currentmatrix pop translate scale 0 0 1 5 -2 roll arcn tMatrix setmatrix stroke} bdef /PAn {newpath tMatrix currentmatrix pop translate 0 0 moveto scale 0 0 1 5 -2 roll arcn closepath tMatrix setmatrix fill} bdef /vradius 0 def /hradius 0 def /lry 0 def /lrx 0 def /uly 0 def /ulx 0 def /rad 0 def /MRR {/vradius xdef /hradius xdef /lry xdef /lrx xdef /uly xdef /ulx xdef newpath tMatrix currentmatrix pop ulx hradius add uly vradius add translate hradius vradius scale 0 0 1 180 270 arc tMatrix setmatrix lrx hradius sub uly vradius add translate hradius vradius scale 0 0 1 270 360 arc tMatrix setmatrix lrx hradius sub lry vradius sub translate hradius vradius scale 0 0 1 0 90 arc tMatrix setmatrix ulx hradius add lry vradius sub translate hradius vradius scale 0 0 1 90 180 arc tMatrix setmatrix closepath} bdef /FRR {MRR stroke } bdef /PRR {MRR fill } bdef /MlrRR {/lry xdef /lrx xdef /uly xdef /ulx xdef /rad lry uly sub 2 div def newpath tMatrix currentmatrix pop ulx rad add uly rad add translate rad rad scale 0 0 1 90 270 arc tMatrix setmatrix lrx rad sub lry rad sub translate rad rad scale 0 0 1 270 90 arc tMatrix setmatrix closepath} bdef /FlrRR {MlrRR stroke } bdef /PlrRR {MlrRR fill } bdef /MtbRR {/lry xdef /lrx xdef /uly xdef /ulx xdef /rad lrx ulx sub 2 div def newpath tMatrix currentmatrix pop ulx rad add uly rad add translate rad rad scale 0 0 1 180 360 arc tMatrix setmatrix lrx rad sub lry rad sub translate rad rad scale 0 0 1 0 180 arc tMatrix setmatrix closepath} bdef /FtbRR {MtbRR stroke } bdef /PtbRR {MtbRR fill } bdef /stri 6 array def /dtri 6 array def /smat 6 array def /dmat 6 array def /tmat1 6 array def /tmat2 6 array def /dif 3 array def /asub {/ind2 exch def /ind1 exch def dup dup ind1 get exch ind2 get sub exch } bdef /tri_to_matrix { 2 0 asub 3 1 asub 4 0 asub 5 1 asub dup 0 get exch 1 get 7 -1 roll astore } bdef /compute_transform { dmat dtri tri_to_matrix tmat1 invertmatrix smat stri tri_to_matrix tmat2 concatmatrix } bdef /ds {stri astore pop} bdef /dt {dtri astore pop} bdef /db {2 copy /cols xdef /rows xdef mul dup 3 mul string currentfile exch readhexstring pop dup 0 3 index getinterval /rbmap xdef dup 2 index dup getinterval /gbmap xdef 1 index dup 2 mul exch getinterval /bbmap xdef pop pop}bdef /it {gs np dtri aload pop moveto lineto lineto cp c cols rows 8 compute_transform rbmap gbmap bbmap true 3 colorimage gr}bdef /il {newpath moveto lineto stroke}bdef currentdict end def %%EndProlog %%BeginSetup MathWorks begin 0 cap end %%EndSetup %%Page: 1 1 %%BeginPageSetup %%PageBoundingBox: 65 416 289 603 MathWorks begin bpage %%EndPageSetup %%BeginObject: obj1 bplot /dpi2point 12 def portraitMode 0216 7344 csm 564 107 2695 2238 MR c np 92 dict begin %Colortable dictionary /c0 { 0 0 0 sr} bdef /c1 { 1 1 1 sr} bdef /c2 { 1 0 0 sr} bdef /c3 { 0 1 0 sr} bdef /c4 { 0 0 1 sr} bdef /c5 { 1 1 0 sr} bdef /c6 { 1 0 1 sr} bdef /c7 { 0 1 1 sr} bdef c0 1 j 1 sg 0 0 6918 5185 PR 6 w 0 1783 2262 0 0 -1783 899 2172 4 MP PP -2262 0 0 1783 2262 0 0 -1783 899 2172 5 MP stroke 4 w DO SO 6 w 0 sg 899 2172 mt 3161 2172 L 899 389 mt 3161 389 L 899 2172 mt 899 389 L 3161 2172 mt 3161 389 L 899 2172 mt 3161 2172 L 899 2172 mt 899 389 L 899 2172 mt 899 2149 L 899 389 mt 899 411 L %%IncludeResource: font Helvetica /Helvetica /ISOLatin1Encoding 120 FMSR 866 2317 mt (3) s 1653 2172 mt 1653 2149 L 1653 389 mt 1653 411 L 1620 2317 mt (4) s 2407 2172 mt 2407 2149 L 2407 389 mt 2407 411 L 2374 2317 mt (6) s 3161 2172 mt 3161 2149 L 3161 389 mt 3161 411 L 3128 2317 mt (8) s 899 2171 mt 921 2171 L 3161 2171 mt 3138 2171 L 564 2215 mt (0.955) s 899 1874 mt 921 1874 L 3161 1874 mt 3138 1874 L 631 1918 mt (0.96) s 899 1577 mt 921 1577 L 3161 1577 mt 3138 1577 L 564 1621 mt (0.965) s 899 1280 mt 921 1280 L 3161 1280 mt 3138 1280 L 631 1324 mt (0.97) s 899 983 mt 921 983 L 3161 983 mt 3138 983 L 564 1027 mt (0.975) s 899 686 mt 921 686 L 3161 686 mt 3138 686 L 631 730 mt (0.98) s 899 389 mt 921 389 L 3161 389 mt 3138 389 L 564 433 mt (0.985) s 899 2172 mt 3161 2172 L 899 389 mt 3161 389 L 899 2172 mt 899 389 L 3161 2172 mt 3161 389 L %%IncludeResource: font Helvetica /Helvetica /ISOLatin1Encoding 144 FMSR 1076 289 mt (Attractive coupling \(0.25,0.25\)) s gs 899 389 2263 1784 MR c np DA 754 6 754 23 754 88 899 1711 4 MP stroke gr DA SO 0 j 24 31 -24 31 -24 -31 24 -31 899 1742 5 MP gs PP gr DP 24 31 -24 31 -24 -31 24 -31 1653 1830 5 MP gs PP gr DP 24 31 -24 31 -24 -31 24 -31 2407 1853 5 MP gs PP gr DP 24 31 -24 31 -24 -31 24 -31 3161 1859 5 MP gs PP gr DP DA gs 899 389 2263 1784 MR c np SO 754 16 754 38 754 64 899 1728 4 MP stroke gr SO 24 31 -24 31 -24 -31 24 -31 899 1759 5 MP gs PP gr DP 24 31 -24 31 -24 -31 24 -31 1653 1823 5 MP gs PP gr DP 24 31 -24 31 -24 -31 24 -31 2407 1861 5 MP gs PP gr DP 24 31 -24 31 -24 -31 24 -31 3161 1877 5 MP gs PP gr DP gs 899 389 2263 1784 MR c np DD 754 36 754 29 754 126 899 1653 4 MP stroke gr DD SO 24 31 -24 31 -24 -31 24 -31 899 1684 5 MP gs PP gr DP 24 31 -24 31 -24 -31 24 -31 1653 1810 5 MP gs PP gr DP 24 31 -24 31 -24 -31 24 -31 2407 1839 5 MP gs PP gr DP 24 31 -24 31 -24 -31 24 -31 3161 1875 5 MP gs PP gr DP DD gs 899 389 2263 1784 MR c np DA /c8 { 0.000000 0.000000 1.000000 sr} bdef c8 754 115 754 290 754 151 899 841 4 MP stroke gr c8 DA SO 24 24 899 841 PO 24 24 1653 992 PO 24 24 2407 1282 PO 24 24 3161 1397 PO 24 24 899 841 FO 24 24 1653 992 FO 24 24 2407 1282 FO 24 24 3161 1397 FO DA gs 899 389 2263 1784 MR c np SO 754 163 754 242 754 141 899 705 4 MP stroke gr SO 24 24 899 705 PO 24 24 1653 846 PO 24 24 2407 1088 PO 24 24 3161 1251 PO 24 24 899 705 FO 24 24 1653 846 FO 24 24 2407 1088 FO 24 24 3161 1251 FO gs 899 389 2263 1784 MR c np DD 754 118 754 260 754 175 899 1136 4 MP stroke gr DD SO 24 24 899 1136 PO 24 24 1653 1311 PO 24 24 2407 1571 PO 24 24 3161 1689 PO 24 24 899 1136 FO 24 24 1653 1311 FO 24 24 2407 1571 FO 24 24 3161 1689 FO DD gs 899 389 2263 1784 MR c np DO /c9 { 1.000000 0.000000 0.000000 sr} bdef c9 754 62 754 135 754 269 899 1250 4 MP stroke gr c9 DO SO 0 -38 -38 0 0 38 38 0 880 1231 5 MP gs PP gr DP 0 -38 -38 0 0 38 38 0 1634 1500 5 MP gs PP gr DP 0 -38 -38 0 0 38 38 0 2388 1635 5 MP gs PP gr DP 0 -38 -38 0 0 38 38 0 3142 1697 5 MP gs PP gr DP DO gs 899 389 2263 1784 MR c np 754 0 754 0 754 0 899 1849 4 MP stroke SO gr SO end eplot %%EndObject epage end showpage %%Trailer %%EOF %%EndDocument @endspecial 832 w @beginspecial 65 @llx 416 @lly 289 @urx 603 @ury 936 @rwi @setspecial %%BeginDocument: figures/bound1.eps %!PS-Adobe-2.0 EPSF-1.2 %%Creator: MATLAB, The Mathworks, Inc. %%Title: /home/eecs/epxing/matlab/GMF/fig/bound1.eps %%CreationDate: 06/04/2003 14:14:31 %%DocumentNeededFonts: Helvetica %%DocumentProcessColors: Cyan Magenta Yellow Black %%Extensions: CMYK %%Pages: 1 %%BoundingBox: 65 416 289 603 %%EndComments %%BeginProlog % MathWorks dictionary /MathWorks 160 dict begin % definition operators /bdef {bind def} bind def /ldef {load def} bind def /xdef {exch def} bdef /xstore {exch store} bdef % operator abbreviations /c /clip ldef /cc /concat ldef /cp /closepath ldef /gr /grestore ldef /gs /gsave ldef /mt /moveto ldef /np /newpath ldef /cm /currentmatrix ldef /sm /setmatrix ldef /rm /rmoveto ldef /rl /rlineto ldef /s /show ldef /sc {setcmykcolor} bdef /sr /setrgbcolor ldef /sg /setgray ldef /w /setlinewidth ldef /j /setlinejoin ldef /cap /setlinecap ldef /rc {rectclip} bdef /rf {rectfill} bdef % page state control /pgsv () def /bpage {/pgsv save def} bdef /epage {pgsv restore} bdef /bplot /gsave ldef /eplot {stroke grestore} bdef % orientation switch /portraitMode 0 def /landscapeMode 1 def /rotateMode 2 def % coordinate system mappings /dpi2point 0 def % font control /FontSize 0 def /FMS {/FontSize xstore findfont [FontSize 0 0 FontSize neg 0 0] makefont setfont} bdef /reencode {exch dup where {pop load} {pop StandardEncoding} ifelse exch dup 3 1 roll findfont dup length dict begin { 1 index /FID ne {def}{pop pop} ifelse } forall /Encoding exch def currentdict end definefont pop} bdef /isroman {findfont /CharStrings get /Agrave known} bdef /FMSR {3 1 roll 1 index dup isroman {reencode} {pop pop} ifelse exch FMS} bdef /csm {1 dpi2point div -1 dpi2point div scale neg translate dup landscapeMode eq {pop -90 rotate} {rotateMode eq {90 rotate} if} ifelse} bdef % line types: solid, dotted, dashed, dotdash /SO { [] 0 setdash } bdef /DO { [.5 dpi2point mul 4 dpi2point mul] 0 setdash } bdef /DA { [6 dpi2point mul] 0 setdash } bdef /DD { [.5 dpi2point mul 4 dpi2point mul 6 dpi2point mul 4 dpi2point mul] 0 setdash } bdef % macros for lines and objects /L {lineto stroke} bdef /MP {3 1 roll moveto 1 sub {rlineto} repeat} bdef /AP {{rlineto} repeat} bdef /PDlw -1 def /W {/PDlw currentlinewidth def setlinewidth} def /PP {closepath eofill} bdef /DP {closepath stroke} bdef /MR {4 -2 roll moveto dup 0 exch rlineto exch 0 rlineto neg 0 exch rlineto closepath} bdef /FR {MR stroke} bdef /PR {MR fill} bdef /L1i {{currentfile picstr readhexstring pop} image} bdef /tMatrix matrix def /MakeOval {newpath tMatrix currentmatrix pop translate scale 0 0 1 0 360 arc tMatrix setmatrix} bdef /FO {MakeOval stroke} bdef /PO {MakeOval fill} bdef /PD {currentlinewidth 2 div 0 360 arc fill PDlw -1 eq not {PDlw w /PDlw -1 def} if} def /FA {newpath tMatrix currentmatrix pop translate scale 0 0 1 5 -2 roll arc tMatrix setmatrix stroke} bdef /PA {newpath tMatrix currentmatrix pop translate 0 0 moveto scale 0 0 1 5 -2 roll arc closepath tMatrix setmatrix fill} bdef /FAn {newpath tMatrix currentmatrix pop translate scale 0 0 1 5 -2 roll arcn tMatrix setmatrix stroke} bdef /PAn {newpath tMatrix currentmatrix pop translate 0 0 moveto scale 0 0 1 5 -2 roll arcn closepath tMatrix setmatrix fill} bdef /vradius 0 def /hradius 0 def /lry 0 def /lrx 0 def /uly 0 def /ulx 0 def /rad 0 def /MRR {/vradius xdef /hradius xdef /lry xdef /lrx xdef /uly xdef /ulx xdef newpath tMatrix currentmatrix pop ulx hradius add uly vradius add translate hradius vradius scale 0 0 1 180 270 arc tMatrix setmatrix lrx hradius sub uly vradius add translate hradius vradius scale 0 0 1 270 360 arc tMatrix setmatrix lrx hradius sub lry vradius sub translate hradius vradius scale 0 0 1 0 90 arc tMatrix setmatrix ulx hradius add lry vradius sub translate hradius vradius scale 0 0 1 90 180 arc tMatrix setmatrix closepath} bdef /FRR {MRR stroke } bdef /PRR {MRR fill } bdef /MlrRR {/lry xdef /lrx xdef /uly xdef /ulx xdef /rad lry uly sub 2 div def newpath tMatrix currentmatrix pop ulx rad add uly rad add translate rad rad scale 0 0 1 90 270 arc tMatrix setmatrix lrx rad sub lry rad sub translate rad rad scale 0 0 1 270 90 arc tMatrix setmatrix closepath} bdef /FlrRR {MlrRR stroke } bdef /PlrRR {MlrRR fill } bdef /MtbRR {/lry xdef /lrx xdef /uly xdef /ulx xdef /rad lrx ulx sub 2 div def newpath tMatrix currentmatrix pop ulx rad add uly rad add translate rad rad scale 0 0 1 180 360 arc tMatrix setmatrix lrx rad sub lry rad sub translate rad rad scale 0 0 1 0 180 arc tMatrix setmatrix closepath} bdef /FtbRR {MtbRR stroke } bdef /PtbRR {MtbRR fill } bdef /stri 6 array def /dtri 6 array def /smat 6 array def /dmat 6 array def /tmat1 6 array def /tmat2 6 array def /dif 3 array def /asub {/ind2 exch def /ind1 exch def dup dup ind1 get exch ind2 get sub exch } bdef /tri_to_matrix { 2 0 asub 3 1 asub 4 0 asub 5 1 asub dup 0 get exch 1 get 7 -1 roll astore } bdef /compute_transform { dmat dtri tri_to_matrix tmat1 invertmatrix smat stri tri_to_matrix tmat2 concatmatrix } bdef /ds {stri astore pop} bdef /dt {dtri astore pop} bdef /db {2 copy /cols xdef /rows xdef mul dup 3 mul string currentfile exch readhexstring pop dup 0 3 index getinterval /rbmap xdef dup 2 index dup getinterval /gbmap xdef 1 index dup 2 mul exch getinterval /bbmap xdef pop pop}bdef /it {gs np dtri aload pop moveto lineto lineto cp c cols rows 8 compute_transform rbmap gbmap bbmap true 3 colorimage gr}bdef /il {newpath moveto lineto stroke}bdef currentdict end def %%EndProlog %%BeginSetup MathWorks begin 0 cap end %%EndSetup %%Page: 1 1 %%BeginPageSetup %%PageBoundingBox: 65 416 289 603 MathWorks begin bpage %%EndPageSetup %%BeginObject: obj1 bplot /dpi2point 12 def portraitMode 0216 7344 csm 564 107 2695 2238 MR c np 92 dict begin %Colortable dictionary /c0 { 0 0 0 sr} bdef /c1 { 1 1 1 sr} bdef /c2 { 1 0 0 sr} bdef /c3 { 0 1 0 sr} bdef /c4 { 0 0 1 sr} bdef /c5 { 1 1 0 sr} bdef /c6 { 1 0 1 sr} bdef /c7 { 0 1 1 sr} bdef c0 1 j 1 sg 0 0 6917 5185 PR 6 w 0 1783 2262 0 0 -1783 899 2172 4 MP PP -2262 0 0 1783 2262 0 0 -1783 899 2172 5 MP stroke 4 w DO SO 6 w 0 sg 899 2172 mt 3161 2172 L 899 389 mt 3161 389 L 899 2172 mt 899 389 L 3161 2172 mt 3161 389 L 899 2172 mt 3161 2172 L 899 2172 mt 899 389 L 899 2172 mt 899 2149 L 899 389 mt 899 411 L %%IncludeResource: font Helvetica /Helvetica /ISOLatin1Encoding 120 FMSR 866 2317 mt (3) s 1653 2172 mt 1653 2149 L 1653 389 mt 1653 411 L 1620 2317 mt (4) s 2407 2172 mt 2407 2149 L 2407 389 mt 2407 411 L 2374 2317 mt (6) s 3161 2172 mt 3161 2149 L 3161 389 mt 3161 411 L 3128 2317 mt (8) s 899 1973 mt 921 1973 L 3161 1973 mt 3138 1973 L 564 2017 mt (0.974) s 899 1577 mt 921 1577 L 3161 1577 mt 3138 1577 L 564 1621 mt (0.976) s 899 1181 mt 921 1181 L 3161 1181 mt 3138 1181 L 564 1225 mt (0.978) s 899 785 mt 921 785 L 3161 785 mt 3138 785 L 631 829 mt (0.98) s 899 389 mt 921 389 L 3161 389 mt 3138 389 L 564 433 mt (0.982) s 899 2172 mt 3161 2172 L 899 389 mt 3161 389 L 899 2172 mt 899 389 L 3161 2172 mt 3161 389 L gs 899 389 2263 1784 MR c np DA 754 30 754 -19 754 73 899 1695 4 MP stroke gr DA SO 0 j 24 31 -24 31 -24 -31 24 -31 899 1726 5 MP gs PP gr DP 24 31 -24 31 -24 -31 24 -31 1653 1799 5 MP gs PP gr DP 24 31 -24 31 -24 -31 24 -31 2407 1780 5 MP gs PP gr DP 24 31 -24 31 -24 -31 24 -31 3161 1810 5 MP gs PP gr DP DA gs 899 389 2263 1784 MR c np SO 754 32 754 13 754 33 899 1704 4 MP stroke gr SO 24 31 -24 31 -24 -31 24 -31 899 1735 5 MP gs PP gr DP 24 31 -24 31 -24 -31 24 -31 1653 1768 5 MP gs PP gr DP 24 31 -24 31 -24 -31 24 -31 2407 1781 5 MP gs PP gr DP 24 31 -24 31 -24 -31 24 -31 3161 1813 5 MP gs PP gr DP gs 899 389 2263 1784 MR c np DD 754 39 754 2 754 42 899 1696 4 MP stroke gr DD SO 24 31 -24 31 -24 -31 24 -31 899 1727 5 MP gs PP gr DP 24 31 -24 31 -24 -31 24 -31 1653 1769 5 MP gs PP gr DP 24 31 -24 31 -24 -31 24 -31 2407 1771 5 MP gs PP gr DP 24 31 -24 31 -24 -31 24 -31 3161 1810 5 MP gs PP gr DP DD gs 899 389 2263 1784 MR c np DA /c8 { 0.000000 0.000000 1.000000 sr} bdef c8 754 73 754 169 754 66 899 951 4 MP stroke gr c8 DA SO 24 24 899 951 PO 24 24 1653 1017 PO 24 24 2407 1186 PO 24 24 3161 1259 PO 24 24 899 951 FO 24 24 1653 1017 FO 24 24 2407 1186 FO 24 24 3161 1259 FO DA gs 899 389 2263 1784 MR c np SO 754 183 754 190 754 -3 899 812 4 MP stroke gr SO 24 24 899 812 PO 24 24 1653 809 PO 24 24 2407 999 PO 24 24 3161 1182 PO 24 24 899 812 FO 24 24 1653 809 FO 24 24 2407 999 FO 24 24 3161 1182 FO gs 899 389 2263 1784 MR c np DD 754 79 754 212 754 160 899 1114 4 MP stroke gr DD SO 24 24 899 1114 PO 24 24 1653 1274 PO 24 24 2407 1486 PO 24 24 3161 1565 PO 24 24 899 1114 FO 24 24 1653 1274 FO 24 24 2407 1486 FO 24 24 3161 1565 FO DD gs 899 389 2263 1784 MR c np DO /c9 { 1.000000 0.000000 0.000000 sr} bdef c9 754 -8 754 160 754 82 899 1449 4 MP stroke gr c9 DO SO 0 -38 -38 0 0 38 38 0 880 1430 5 MP gs PP gr DP 0 -38 -38 0 0 38 38 0 1634 1512 5 MP gs PP gr DP 0 -38 -38 0 0 38 38 0 2388 1672 5 MP gs PP gr DP 0 -38 -38 0 0 38 38 0 3142 1664 5 MP gs PP gr DP DO gs 899 389 2263 1784 MR c np 754 0 754 0 754 0 899 1784 4 MP stroke gr 0 sg %%IncludeResource: font Helvetica /Helvetica /ISOLatin1Encoding 144 FMSR 1116 289 mt (Attractive coupling \(0.25,0.5\)) s SO end eplot %%EndObject epage end showpage %%Trailer %%EOF %%EndDocument @endspecial 833 w @beginspecial 65 @llx 416 @lly 289 @urx 603 @ury 936 @rwi @setspecial %%BeginDocument: figures/bound2.eps %!PS-Adobe-2.0 EPSF-1.2 %%Creator: MATLAB, The Mathworks, Inc. %%Title: /home/eecs/epxing/matlab/GMF/fig/bound2.eps %%CreationDate: 06/02/2003 15:07:35 %%DocumentNeededFonts: Helvetica %%DocumentProcessColors: Cyan Magenta Yellow Black %%Extensions: CMYK %%Pages: 1 %%BoundingBox: 65 416 289 603 %%EndComments %%BeginProlog % MathWorks dictionary /MathWorks 160 dict begin % definition operators /bdef {bind def} bind def /ldef {load def} bind def /xdef {exch def} bdef /xstore {exch store} bdef % operator abbreviations /c /clip ldef /cc /concat ldef /cp /closepath ldef /gr /grestore ldef /gs /gsave ldef /mt /moveto ldef /np /newpath ldef /cm /currentmatrix ldef /sm /setmatrix ldef /rm /rmoveto ldef /rl /rlineto ldef /s /show ldef /sc {setcmykcolor} bdef /sr /setrgbcolor ldef /sg /setgray ldef /w /setlinewidth ldef /j /setlinejoin ldef /cap /setlinecap ldef /rc {rectclip} bdef /rf {rectfill} bdef % page state control /pgsv () def /bpage {/pgsv save def} bdef /epage {pgsv restore} bdef /bplot /gsave ldef /eplot {stroke grestore} bdef % orientation switch /portraitMode 0 def /landscapeMode 1 def /rotateMode 2 def % coordinate system mappings /dpi2point 0 def % font control /FontSize 0 def /FMS {/FontSize xstore findfont [FontSize 0 0 FontSize neg 0 0] makefont setfont} bdef /reencode {exch dup where {pop load} {pop StandardEncoding} ifelse exch dup 3 1 roll findfont dup length dict begin { 1 index /FID ne {def}{pop pop} ifelse } forall /Encoding exch def currentdict end definefont pop} bdef /isroman {findfont /CharStrings get /Agrave known} bdef /FMSR {3 1 roll 1 index dup isroman {reencode} {pop pop} ifelse exch FMS} bdef /csm {1 dpi2point div -1 dpi2point div scale neg translate dup landscapeMode eq {pop -90 rotate} {rotateMode eq {90 rotate} if} ifelse} bdef % line types: solid, dotted, dashed, dotdash /SO { [] 0 setdash } bdef /DO { [.5 dpi2point mul 4 dpi2point mul] 0 setdash } bdef /DA { [6 dpi2point mul] 0 setdash } bdef /DD { [.5 dpi2point mul 4 dpi2point mul 6 dpi2point mul 4 dpi2point mul] 0 setdash } bdef % macros for lines and objects /L {lineto stroke} bdef /MP {3 1 roll moveto 1 sub {rlineto} repeat} bdef /AP {{rlineto} repeat} bdef /PDlw -1 def /W {/PDlw currentlinewidth def setlinewidth} def /PP {closepath eofill} bdef /DP {closepath stroke} bdef /MR {4 -2 roll moveto dup 0 exch rlineto exch 0 rlineto neg 0 exch rlineto closepath} bdef /FR {MR stroke} bdef /PR {MR fill} bdef /L1i {{currentfile picstr readhexstring pop} image} bdef /tMatrix matrix def /MakeOval {newpath tMatrix currentmatrix pop translate scale 0 0 1 0 360 arc tMatrix setmatrix} bdef /FO {MakeOval stroke} bdef /PO {MakeOval fill} bdef /PD {currentlinewidth 2 div 0 360 arc fill PDlw -1 eq not {PDlw w /PDlw -1 def} if} def /FA {newpath tMatrix currentmatrix pop translate scale 0 0 1 5 -2 roll arc tMatrix setmatrix stroke} bdef /PA {newpath tMatrix currentmatrix pop translate 0 0 moveto scale 0 0 1 5 -2 roll arc closepath tMatrix setmatrix fill} bdef /FAn {newpath tMatrix currentmatrix pop translate scale 0 0 1 5 -2 roll arcn tMatrix setmatrix stroke} bdef /PAn {newpath tMatrix currentmatrix pop translate 0 0 moveto scale 0 0 1 5 -2 roll arcn closepath tMatrix setmatrix fill} bdef /vradius 0 def /hradius 0 def /lry 0 def /lrx 0 def /uly 0 def /ulx 0 def /rad 0 def /MRR {/vradius xdef /hradius xdef /lry xdef /lrx xdef /uly xdef /ulx xdef newpath tMatrix currentmatrix pop ulx hradius add uly vradius add translate hradius vradius scale 0 0 1 180 270 arc tMatrix setmatrix lrx hradius sub uly vradius add translate hradius vradius scale 0 0 1 270 360 arc tMatrix setmatrix lrx hradius sub lry vradius sub translate hradius vradius scale 0 0 1 0 90 arc tMatrix setmatrix ulx hradius add lry vradius sub translate hradius vradius scale 0 0 1 90 180 arc tMatrix setmatrix closepath} bdef /FRR {MRR stroke } bdef /PRR {MRR fill } bdef /MlrRR {/lry xdef /lrx xdef /uly xdef /ulx xdef /rad lry uly sub 2 div def newpath tMatrix currentmatrix pop ulx rad add uly rad add translate rad rad scale 0 0 1 90 270 arc tMatrix setmatrix lrx rad sub lry rad sub translate rad rad scale 0 0 1 270 90 arc tMatrix setmatrix closepath} bdef /FlrRR {MlrRR stroke } bdef /PlrRR {MlrRR fill } bdef /MtbRR {/lry xdef /lrx xdef /uly xdef /ulx xdef /rad lrx ulx sub 2 div def newpath tMatrix currentmatrix pop ulx rad add uly rad add translate rad rad scale 0 0 1 180 360 arc tMatrix setmatrix lrx rad sub lry rad sub translate rad rad scale 0 0 1 0 180 arc tMatrix setmatrix closepath} bdef /FtbRR {MtbRR stroke } bdef /PtbRR {MtbRR fill } bdef /stri 6 array def /dtri 6 array def /smat 6 array def /dmat 6 array def /tmat1 6 array def /tmat2 6 array def /dif 3 array def /asub {/ind2 exch def /ind1 exch def dup dup ind1 get exch ind2 get sub exch } bdef /tri_to_matrix { 2 0 asub 3 1 asub 4 0 asub 5 1 asub dup 0 get exch 1 get 7 -1 roll astore } bdef /compute_transform { dmat dtri tri_to_matrix tmat1 invertmatrix smat stri tri_to_matrix tmat2 concatmatrix } bdef /ds {stri astore pop} bdef /dt {dtri astore pop} bdef /db {2 copy /cols xdef /rows xdef mul dup 3 mul string currentfile exch readhexstring pop dup 0 3 index getinterval /rbmap xdef dup 2 index dup getinterval /gbmap xdef 1 index dup 2 mul exch getinterval /bbmap xdef pop pop}bdef /it {gs np dtri aload pop moveto lineto lineto cp c cols rows 8 compute_transform rbmap gbmap bbmap true 3 colorimage gr}bdef /il {newpath moveto lineto stroke}bdef currentdict end def %%EndProlog %%BeginSetup MathWorks begin 0 cap end %%EndSetup %%Page: 1 1 %%BeginPageSetup %%PageBoundingBox: 65 416 289 603 MathWorks begin bpage %%EndPageSetup %%BeginObject: obj1 bplot /dpi2point 12 def portraitMode 0216 7344 csm 564 107 2695 2238 MR c np 92 dict begin %Colortable dictionary /c0 { 0 0 0 sr} bdef /c1 { 1 1 1 sr} bdef /c2 { 1 0 0 sr} bdef /c3 { 0 1 0 sr} bdef /c4 { 0 0 1 sr} bdef /c5 { 1 1 0 sr} bdef /c6 { 1 0 1 sr} bdef /c7 { 0 1 1 sr} bdef c0 1 j 1 sg 0 0 6917 5185 PR 6 w 0 1784 2262 0 0 -1784 899 2172 4 MP PP -2262 0 0 1784 2262 0 0 -1784 899 2172 5 MP stroke 4 w DO SO 6 w 0 sg 899 2172 mt 3161 2172 L 899 388 mt 3161 388 L 899 2172 mt 899 388 L 3161 2172 mt 3161 388 L 899 2172 mt 3161 2172 L 899 2172 mt 899 388 L 899 2172 mt 899 2149 L 899 389 mt 899 411 L %%IncludeResource: font Helvetica /Helvetica /ISOLatin1Encoding 120 FMSR 866 2317 mt (3) s 1653 2172 mt 1653 2149 L 1653 389 mt 1653 411 L 1620 2317 mt (4) s 2407 2172 mt 2407 2149 L 2407 389 mt 2407 411 L 2374 2317 mt (6) s 3161 2172 mt 3161 2149 L 3161 389 mt 3161 411 L 3128 2317 mt (8) s 899 2172 mt 921 2172 L 3161 2172 mt 3138 2172 L 631 2216 mt (0.98) s 899 1815 mt 921 1815 L 3161 1815 mt 3138 1815 L 564 1859 mt (0.982) s 899 1458 mt 921 1458 L 3161 1458 mt 3138 1458 L 564 1502 mt (0.984) s 899 1102 mt 921 1102 L 3161 1102 mt 3138 1102 L 564 1146 mt (0.986) s 899 745 mt 921 745 L 3161 745 mt 3138 745 L 564 789 mt (0.988) s 899 389 mt 921 389 L 3161 389 mt 3138 389 L 631 433 mt (0.99) s 899 2172 mt 3161 2172 L 899 388 mt 3161 388 L 899 2172 mt 899 388 L 3161 2172 mt 3161 388 L gs 899 389 2263 1784 MR c np DA 754 8 754 13 754 138 899 1576 4 MP stroke gr DA SO 0 j 24 31 -24 31 -24 -31 24 -31 899 1607 5 MP gs PP gr DP 24 31 -24 31 -24 -31 24 -31 1653 1745 5 MP gs PP gr DP 24 31 -24 31 -24 -31 24 -31 2407 1758 5 MP gs PP gr DP 24 31 -24 31 -24 -31 24 -31 3161 1766 5 MP gs PP gr DP DA gs 899 389 2263 1784 MR c np SO 754 13 754 21 754 70 899 1637 4 MP stroke gr SO 24 31 -24 31 -24 -31 24 -31 899 1668 5 MP gs PP gr DP 24 31 -24 31 -24 -31 24 -31 1653 1738 5 MP gs PP gr DP 24 31 -24 31 -24 -31 24 -31 2407 1759 5 MP gs PP gr DP 24 31 -24 31 -24 -31 24 -31 3161 1772 5 MP gs PP gr DP gs 899 389 2263 1784 MR c np DD 754 17 754 14 754 82 899 1591 4 MP stroke gr DD SO 24 31 -24 31 -24 -31 24 -31 899 1622 5 MP gs PP gr DP 24 31 -24 31 -24 -31 24 -31 1653 1704 5 MP gs PP gr DP 24 31 -24 31 -24 -31 24 -31 2407 1718 5 MP gs PP gr DP 24 31 -24 31 -24 -31 24 -31 3161 1735 5 MP gs PP gr DP DD gs 899 389 2263 1784 MR c np DA /c8 { 0.000000 0.000000 1.000000 sr} bdef c8 754 202 754 155 754 164 899 858 4 MP stroke gr c8 DA SO 24 24 899 858 PO 24 24 1653 1022 PO 24 24 2407 1177 PO 24 24 3161 1379 PO 24 24 899 858 FO 24 24 1653 1022 FO 24 24 2407 1177 FO 24 24 3161 1379 FO DA gs 899 389 2263 1784 MR c np SO 754 165 754 169 754 154 899 798 4 MP stroke gr SO 24 24 899 798 PO 24 24 1653 952 PO 24 24 2407 1121 PO 24 24 3161 1286 PO 24 24 899 798 FO 24 24 1653 952 FO 24 24 2407 1121 FO 24 24 3161 1286 FO gs 899 389 2263 1784 MR c np DD 754 105 754 36 754 232 899 1243 4 MP stroke gr DD SO 24 24 899 1243 PO 24 24 1653 1475 PO 24 24 2407 1511 PO 24 24 3161 1616 PO 24 24 899 1243 FO 24 24 1653 1475 FO 24 24 2407 1511 FO 24 24 3161 1616 FO DD gs 899 389 2263 1784 MR c np DO /c9 { 1.000000 0.000000 0.000000 sr} bdef c9 754 -30 754 187 754 58 899 1375 4 MP stroke gr c9 DO SO 0 -38 -38 0 0 38 38 0 880 1356 5 MP gs PP gr DP 0 -38 -38 0 0 38 38 0 1634 1414 5 MP gs PP gr DP 0 -38 -38 0 0 38 38 0 2388 1601 5 MP gs PP gr DP 0 -38 -38 0 0 38 38 0 3142 1571 5 MP gs PP gr DP DO gs 899 389 2263 1784 MR c np 754 0 754 0 754 0 899 1743 4 MP stroke gr 0 sg %%IncludeResource: font Helvetica /Helvetica /ISOLatin1Encoding 144 FMSR 1176 289 mt (Attractive coupling \(0.25,1\)) s SO end eplot %%EndObject epage end showpage %%Trailer %%EOF %%EndDocument @endspecial 344 1314 a @beginspecial 65 @llx 416 @lly 289 @urx 603 @ury 936 @rwi @setspecial %%BeginDocument: figures/bound51.eps %!PS-Adobe-2.0 EPSF-1.2 %%Creator: MATLAB, The Mathworks, Inc. %%Title: /home/eecs/epxing/matlab/GMF/bound51.eps %%CreationDate: 06/01/2003 23:42:10 %%DocumentNeededFonts: Helvetica %%DocumentProcessColors: Cyan Magenta Yellow Black %%Extensions: CMYK %%Pages: 1 %%BoundingBox: 65 416 289 603 %%EndComments %%BeginProlog % MathWorks dictionary /MathWorks 160 dict begin % definition operators /bdef {bind def} bind def /ldef {load def} bind def /xdef {exch def} bdef /xstore {exch store} bdef % operator abbreviations /c /clip ldef /cc /concat ldef /cp /closepath ldef /gr /grestore ldef /gs /gsave ldef /mt /moveto ldef /np /newpath ldef /cm /currentmatrix ldef /sm /setmatrix ldef /rm /rmoveto ldef /rl /rlineto ldef /s /show ldef /sc {setcmykcolor} bdef /sr /setrgbcolor ldef /sg /setgray ldef /w /setlinewidth ldef /j /setlinejoin ldef /cap /setlinecap ldef /rc {rectclip} bdef /rf {rectfill} bdef % page state control /pgsv () def /bpage {/pgsv save def} bdef /epage {pgsv restore} bdef /bplot /gsave ldef /eplot {stroke grestore} bdef % orientation switch /portraitMode 0 def /landscapeMode 1 def /rotateMode 2 def % coordinate system mappings /dpi2point 0 def % font control /FontSize 0 def /FMS {/FontSize xstore findfont [FontSize 0 0 FontSize neg 0 0] makefont setfont} bdef /reencode {exch dup where {pop load} {pop StandardEncoding} ifelse exch dup 3 1 roll findfont dup length dict begin { 1 index /FID ne {def}{pop pop} ifelse } forall /Encoding exch def currentdict end definefont pop} bdef /isroman {findfont /CharStrings get /Agrave known} bdef /FMSR {3 1 roll 1 index dup isroman {reencode} {pop pop} ifelse exch FMS} bdef /csm {1 dpi2point div -1 dpi2point div scale neg translate dup landscapeMode eq {pop -90 rotate} {rotateMode eq {90 rotate} if} ifelse} bdef % line types: solid, dotted, dashed, dotdash /SO { [] 0 setdash } bdef /DO { [.5 dpi2point mul 4 dpi2point mul] 0 setdash } bdef /DA { [6 dpi2point mul] 0 setdash } bdef /DD { [.5 dpi2point mul 4 dpi2point mul 6 dpi2point mul 4 dpi2point mul] 0 setdash } bdef % macros for lines and objects /L {lineto stroke} bdef /MP {3 1 roll moveto 1 sub {rlineto} repeat} bdef /AP {{rlineto} repeat} bdef /PDlw -1 def /W {/PDlw currentlinewidth def setlinewidth} def /PP {closepath eofill} bdef /DP {closepath stroke} bdef /MR {4 -2 roll moveto dup 0 exch rlineto exch 0 rlineto neg 0 exch rlineto closepath} bdef /FR {MR stroke} bdef /PR {MR fill} bdef /L1i {{currentfile picstr readhexstring pop} image} bdef /tMatrix matrix def /MakeOval {newpath tMatrix currentmatrix pop translate scale 0 0 1 0 360 arc tMatrix setmatrix} bdef /FO {MakeOval stroke} bdef /PO {MakeOval fill} bdef /PD {currentlinewidth 2 div 0 360 arc fill PDlw -1 eq not {PDlw w /PDlw -1 def} if} def /FA {newpath tMatrix currentmatrix pop translate scale 0 0 1 5 -2 roll arc tMatrix setmatrix stroke} bdef /PA {newpath tMatrix currentmatrix pop translate 0 0 moveto scale 0 0 1 5 -2 roll arc closepath tMatrix setmatrix fill} bdef /FAn {newpath tMatrix currentmatrix pop translate scale 0 0 1 5 -2 roll arcn tMatrix setmatrix stroke} bdef /PAn {newpath tMatrix currentmatrix pop translate 0 0 moveto scale 0 0 1 5 -2 roll arcn closepath tMatrix setmatrix fill} bdef /vradius 0 def /hradius 0 def /lry 0 def /lrx 0 def /uly 0 def /ulx 0 def /rad 0 def /MRR {/vradius xdef /hradius xdef /lry xdef /lrx xdef /uly xdef /ulx xdef newpath tMatrix currentmatrix pop ulx hradius add uly vradius add translate hradius vradius scale 0 0 1 180 270 arc tMatrix setmatrix lrx hradius sub uly vradius add translate hradius vradius scale 0 0 1 270 360 arc tMatrix setmatrix lrx hradius sub lry vradius sub translate hradius vradius scale 0 0 1 0 90 arc tMatrix setmatrix ulx hradius add lry vradius sub translate hradius vradius scale 0 0 1 90 180 arc tMatrix setmatrix closepath} bdef /FRR {MRR stroke } bdef /PRR {MRR fill } bdef /MlrRR {/lry xdef /lrx xdef /uly xdef /ulx xdef /rad lry uly sub 2 div def newpath tMatrix currentmatrix pop ulx rad add uly rad add translate rad rad scale 0 0 1 90 270 arc tMatrix setmatrix lrx rad sub lry rad sub translate rad rad scale 0 0 1 270 90 arc tMatrix setmatrix closepath} bdef /FlrRR {MlrRR stroke } bdef /PlrRR {MlrRR fill } bdef /MtbRR {/lry xdef /lrx xdef /uly xdef /ulx xdef /rad lrx ulx sub 2 div def newpath tMatrix currentmatrix pop ulx rad add uly rad add translate rad rad scale 0 0 1 180 360 arc tMatrix setmatrix lrx rad sub lry rad sub translate rad rad scale 0 0 1 0 180 arc tMatrix setmatrix closepath} bdef /FtbRR {MtbRR stroke } bdef /PtbRR {MtbRR fill } bdef /stri 6 array def /dtri 6 array def /smat 6 array def /dmat 6 array def /tmat1 6 array def /tmat2 6 array def /dif 3 array def /asub {/ind2 exch def /ind1 exch def dup dup ind1 get exch ind2 get sub exch } bdef /tri_to_matrix { 2 0 asub 3 1 asub 4 0 asub 5 1 asub dup 0 get exch 1 get 7 -1 roll astore } bdef /compute_transform { dmat dtri tri_to_matrix tmat1 invertmatrix smat stri tri_to_matrix tmat2 concatmatrix } bdef /ds {stri astore pop} bdef /dt {dtri astore pop} bdef /db {2 copy /cols xdef /rows xdef mul dup 3 mul string currentfile exch readhexstring pop dup 0 3 index getinterval /rbmap xdef dup 2 index dup getinterval /gbmap xdef 1 index dup 2 mul exch getinterval /bbmap xdef pop pop}bdef /it {gs np dtri aload pop moveto lineto lineto cp c cols rows 8 compute_transform rbmap gbmap bbmap true 3 colorimage gr}bdef /il {newpath moveto lineto stroke}bdef currentdict end def %%EndProlog %%BeginSetup MathWorks begin 0 cap end %%EndSetup %%Page: 1 1 %%BeginPageSetup %%PageBoundingBox: 65 416 289 603 MathWorks begin bpage %%EndPageSetup %%BeginObject: obj1 bplot /dpi2point 12 def portraitMode 0216 7344 csm 564 107 2695 2238 MR c np 92 dict begin %Colortable dictionary /c0 { 0 0 0 sr} bdef /c1 { 1 1 1 sr} bdef /c2 { 1 0 0 sr} bdef /c3 { 0 1 0 sr} bdef /c4 { 0 0 1 sr} bdef /c5 { 1 1 0 sr} bdef /c6 { 1 0 1 sr} bdef /c7 { 0 1 1 sr} bdef c0 1 j 1 sg 0 0 6918 5185 PR 6 w 0 1783 2262 0 0 -1783 899 2172 4 MP PP -2262 0 0 1783 2262 0 0 -1783 899 2172 5 MP stroke 4 w DO SO 6 w 0 sg 899 2172 mt 3161 2172 L 899 389 mt 3161 389 L 899 2172 mt 899 389 L 3161 2172 mt 3161 389 L 899 2172 mt 3161 2172 L 899 2172 mt 899 389 L 899 2172 mt 899 2149 L 899 389 mt 899 411 L %%IncludeResource: font Helvetica /Helvetica /ISOLatin1Encoding 120 FMSR 866 2317 mt (3) s 1653 2172 mt 1653 2149 L 1653 389 mt 1653 411 L 1620 2317 mt (4) s 2407 2172 mt 2407 2149 L 2407 389 mt 2407 411 L 2374 2317 mt (6) s 3161 2172 mt 3161 2149 L 3161 389 mt 3161 411 L 3128 2317 mt (8) s 899 2172 mt 921 2172 L 3161 2172 mt 3138 2172 L 631 2216 mt (0.99) s 899 1726 mt 921 1726 L 3161 1726 mt 3138 1726 L 564 1770 mt (0.992) s 899 1280 mt 921 1280 L 3161 1280 mt 3138 1280 L 564 1324 mt (0.994) s 899 834 mt 921 834 L 3161 834 mt 3138 834 L 564 878 mt (0.996) s 899 389 mt 921 389 L 3161 389 mt 3138 389 L 564 433 mt (0.998) s 899 2172 mt 3161 2172 L 899 389 mt 3161 389 L 899 2172 mt 899 389 L 3161 2172 mt 3161 389 L gs 899 389 2263 1784 MR c np DA 754 49 754 1 754 132 899 1704 4 MP stroke gr DA SO 0 j 24 31 -24 31 -24 -31 24 -31 899 1735 5 MP gs PP gr DP 24 31 -24 31 -24 -31 24 -31 1653 1867 5 MP gs PP gr DP 24 31 -24 31 -24 -31 24 -31 2407 1868 5 MP gs PP gr DP 24 31 -24 31 -24 -31 24 -31 3161 1917 5 MP gs PP gr DP DA gs 899 389 2263 1784 MR c np SO 754 21 754 42 754 100 899 1725 4 MP stroke gr SO 24 31 -24 31 -24 -31 24 -31 899 1756 5 MP gs PP gr DP 24 31 -24 31 -24 -31 24 -31 1653 1856 5 MP gs PP gr DP 24 31 -24 31 -24 -31 24 -31 2407 1898 5 MP gs PP gr DP 24 31 -24 31 -24 -31 24 -31 3161 1919 5 MP gs PP gr DP gs 899 389 2263 1784 MR c np DD 754 51 754 -16 754 197 899 1631 4 MP stroke gr DD SO 24 31 -24 31 -24 -31 24 -31 899 1662 5 MP gs PP gr DP 24 31 -24 31 -24 -31 24 -31 1653 1859 5 MP gs PP gr DP 24 31 -24 31 -24 -31 24 -31 2407 1843 5 MP gs PP gr DP 24 31 -24 31 -24 -31 24 -31 3161 1894 5 MP gs PP gr DP DD gs 899 389 2263 1784 MR c np DA /c8 { 0.000000 0.000000 1.000000 sr} bdef c8 754 153 754 283 754 133 899 823 4 MP stroke gr c8 DA SO 24 24 899 823 PO 24 24 1653 956 PO 24 24 2407 1239 PO 24 24 3161 1392 PO 24 24 899 823 FO 24 24 1653 956 FO 24 24 2407 1239 FO 24 24 3161 1392 FO DA gs 899 389 2263 1784 MR c np SO 754 183 754 172 754 147 899 690 4 MP stroke gr SO 24 24 899 690 PO 24 24 1653 837 PO 24 24 2407 1009 PO 24 24 3161 1192 PO 24 24 899 690 FO 24 24 1653 837 FO 24 24 2407 1009 FO 24 24 3161 1192 FO gs 899 389 2263 1784 MR c np DD 754 150 754 256 754 210 899 1038 4 MP stroke gr DD SO 24 24 899 1038 PO 24 24 1653 1248 PO 24 24 2407 1504 PO 24 24 3161 1654 PO 24 24 899 1038 FO 24 24 1653 1248 FO 24 24 2407 1504 FO 24 24 3161 1654 FO DD gs 899 389 2263 1784 MR c np DO /c9 { 1.000000 0.000000 0.000000 sr} bdef c9 754 202 754 179 754 95 899 1289 4 MP stroke gr c9 DO SO 0 -38 -38 0 0 38 38 0 880 1270 5 MP gs PP gr DP 0 -38 -38 0 0 38 38 0 1634 1365 5 MP gs PP gr DP 0 -38 -38 0 0 38 38 0 2388 1544 5 MP gs PP gr DP 0 -38 -38 0 0 38 38 0 3142 1746 5 MP gs PP gr DP DO gs 899 389 2263 1784 MR c np 754 0 754 0 754 0 899 1892 4 MP stroke gr 0 sg %%IncludeResource: font Helvetica /Helvetica /ISOLatin1Encoding 144 FMSR 1060 289 mt (Repulsive coupling \(0.25,0.12\)) s SO end eplot %%EndObject epage end showpage %%Trailer %%EOF %%EndDocument @endspecial 832 w @beginspecial 65 @llx 416 @lly 289 @urx 603 @ury 936 @rwi @setspecial %%BeginDocument: figures/bound31.eps %!PS-Adobe-2.0 EPSF-1.2 %%Creator: MATLAB, The Mathworks, Inc. %%Title: /home/eecs/epxing/matlab/GMF/bound31.eps %%CreationDate: 06/01/2003 23:39:00 %%DocumentNeededFonts: Helvetica %%DocumentProcessColors: Cyan Magenta Yellow Black %%Extensions: CMYK %%Pages: 1 %%BoundingBox: 65 416 289 603 %%EndComments %%BeginProlog % MathWorks dictionary /MathWorks 160 dict begin % definition operators /bdef {bind def} bind def /ldef {load def} bind def /xdef {exch def} bdef /xstore {exch store} bdef % operator abbreviations /c /clip ldef /cc /concat ldef /cp /closepath ldef /gr /grestore ldef /gs /gsave ldef /mt /moveto ldef /np /newpath ldef /cm /currentmatrix ldef /sm /setmatrix ldef /rm /rmoveto ldef /rl /rlineto ldef /s /show ldef /sc {setcmykcolor} bdef /sr /setrgbcolor ldef /sg /setgray ldef /w /setlinewidth ldef /j /setlinejoin ldef /cap /setlinecap ldef /rc {rectclip} bdef /rf {rectfill} bdef % page state control /pgsv () def /bpage {/pgsv save def} bdef /epage {pgsv restore} bdef /bplot /gsave ldef /eplot {stroke grestore} bdef % orientation switch /portraitMode 0 def /landscapeMode 1 def /rotateMode 2 def % coordinate system mappings /dpi2point 0 def % font control /FontSize 0 def /FMS {/FontSize xstore findfont [FontSize 0 0 FontSize neg 0 0] makefont setfont} bdef /reencode {exch dup where {pop load} {pop StandardEncoding} ifelse exch dup 3 1 roll findfont dup length dict begin { 1 index /FID ne {def}{pop pop} ifelse } forall /Encoding exch def currentdict end definefont pop} bdef /isroman {findfont /CharStrings get /Agrave known} bdef /FMSR {3 1 roll 1 index dup isroman {reencode} {pop pop} ifelse exch FMS} bdef /csm {1 dpi2point div -1 dpi2point div scale neg translate dup landscapeMode eq {pop -90 rotate} {rotateMode eq {90 rotate} if} ifelse} bdef % line types: solid, dotted, dashed, dotdash /SO { [] 0 setdash } bdef /DO { [.5 dpi2point mul 4 dpi2point mul] 0 setdash } bdef /DA { [6 dpi2point mul] 0 setdash } bdef /DD { [.5 dpi2point mul 4 dpi2point mul 6 dpi2point mul 4 dpi2point mul] 0 setdash } bdef % macros for lines and objects /L {lineto stroke} bdef /MP {3 1 roll moveto 1 sub {rlineto} repeat} bdef /AP {{rlineto} repeat} bdef /PDlw -1 def /W {/PDlw currentlinewidth def setlinewidth} def /PP {closepath eofill} bdef /DP {closepath stroke} bdef /MR {4 -2 roll moveto dup 0 exch rlineto exch 0 rlineto neg 0 exch rlineto closepath} bdef /FR {MR stroke} bdef /PR {MR fill} bdef /L1i {{currentfile picstr readhexstring pop} image} bdef /tMatrix matrix def /MakeOval {newpath tMatrix currentmatrix pop translate scale 0 0 1 0 360 arc tMatrix setmatrix} bdef /FO {MakeOval stroke} bdef /PO {MakeOval fill} bdef /PD {currentlinewidth 2 div 0 360 arc fill PDlw -1 eq not {PDlw w /PDlw -1 def} if} def /FA {newpath tMatrix currentmatrix pop translate scale 0 0 1 5 -2 roll arc tMatrix setmatrix stroke} bdef /PA {newpath tMatrix currentmatrix pop translate 0 0 moveto scale 0 0 1 5 -2 roll arc closepath tMatrix setmatrix fill} bdef /FAn {newpath tMatrix currentmatrix pop translate scale 0 0 1 5 -2 roll arcn tMatrix setmatrix stroke} bdef /PAn {newpath tMatrix currentmatrix pop translate 0 0 moveto scale 0 0 1 5 -2 roll arcn closepath tMatrix setmatrix fill} bdef /vradius 0 def /hradius 0 def /lry 0 def /lrx 0 def /uly 0 def /ulx 0 def /rad 0 def /MRR {/vradius xdef /hradius xdef /lry xdef /lrx xdef /uly xdef /ulx xdef newpath tMatrix currentmatrix pop ulx hradius add uly vradius add translate hradius vradius scale 0 0 1 180 270 arc tMatrix setmatrix lrx hradius sub uly vradius add translate hradius vradius scale 0 0 1 270 360 arc tMatrix setmatrix lrx hradius sub lry vradius sub translate hradius vradius scale 0 0 1 0 90 arc tMatrix setmatrix ulx hradius add lry vradius sub translate hradius vradius scale 0 0 1 90 180 arc tMatrix setmatrix closepath} bdef /FRR {MRR stroke } bdef /PRR {MRR fill } bdef /MlrRR {/lry xdef /lrx xdef /uly xdef /ulx xdef /rad lry uly sub 2 div def newpath tMatrix currentmatrix pop ulx rad add uly rad add translate rad rad scale 0 0 1 90 270 arc tMatrix setmatrix lrx rad sub lry rad sub translate rad rad scale 0 0 1 270 90 arc tMatrix setmatrix closepath} bdef /FlrRR {MlrRR stroke } bdef /PlrRR {MlrRR fill } bdef /MtbRR {/lry xdef /lrx xdef /uly xdef /ulx xdef /rad lrx ulx sub 2 div def newpath tMatrix currentmatrix pop ulx rad add uly rad add translate rad rad scale 0 0 1 180 360 arc tMatrix setmatrix lrx rad sub lry rad sub translate rad rad scale 0 0 1 0 180 arc tMatrix setmatrix closepath} bdef /FtbRR {MtbRR stroke } bdef /PtbRR {MtbRR fill } bdef /stri 6 array def /dtri 6 array def /smat 6 array def /dmat 6 array def /tmat1 6 array def /tmat2 6 array def /dif 3 array def /asub {/ind2 exch def /ind1 exch def dup dup ind1 get exch ind2 get sub exch } bdef /tri_to_matrix { 2 0 asub 3 1 asub 4 0 asub 5 1 asub dup 0 get exch 1 get 7 -1 roll astore } bdef /compute_transform { dmat dtri tri_to_matrix tmat1 invertmatrix smat stri tri_to_matrix tmat2 concatmatrix } bdef /ds {stri astore pop} bdef /dt {dtri astore pop} bdef /db {2 copy /cols xdef /rows xdef mul dup 3 mul string currentfile exch readhexstring pop dup 0 3 index getinterval /rbmap xdef dup 2 index dup getinterval /gbmap xdef 1 index dup 2 mul exch getinterval /bbmap xdef pop pop}bdef /it {gs np dtri aload pop moveto lineto lineto cp c cols rows 8 compute_transform rbmap gbmap bbmap true 3 colorimage gr}bdef /il {newpath moveto lineto stroke}bdef currentdict end def %%EndProlog %%BeginSetup MathWorks begin 0 cap end %%EndSetup %%Page: 1 1 %%BeginPageSetup %%PageBoundingBox: 65 416 289 603 MathWorks begin bpage %%EndPageSetup %%BeginObject: obj1 bplot /dpi2point 12 def portraitMode 0216 7344 csm 564 107 2695 2238 MR c np 92 dict begin %Colortable dictionary /c0 { 0 0 0 sr} bdef /c1 { 1 1 1 sr} bdef /c2 { 1 0 0 sr} bdef /c3 { 0 1 0 sr} bdef /c4 { 0 0 1 sr} bdef /c5 { 1 1 0 sr} bdef /c6 { 1 0 1 sr} bdef /c7 { 0 1 1 sr} bdef c0 1 j 1 sg 0 0 6918 5185 PR 6 w 0 1783 2262 0 0 -1783 899 2172 4 MP PP -2262 0 0 1783 2262 0 0 -1783 899 2172 5 MP stroke 4 w DO SO 6 w 0 sg 899 2172 mt 3161 2172 L 899 389 mt 3161 389 L 899 2172 mt 899 389 L 3161 2172 mt 3161 389 L 899 2172 mt 3161 2172 L 899 2172 mt 899 389 L 899 2172 mt 899 2149 L 899 389 mt 899 411 L %%IncludeResource: font Helvetica /Helvetica /ISOLatin1Encoding 120 FMSR 866 2317 mt (3) s 1653 2172 mt 1653 2149 L 1653 389 mt 1653 411 L 1620 2317 mt (4) s 2407 2172 mt 2407 2149 L 2407 389 mt 2407 411 L 2374 2317 mt (6) s 3161 2172 mt 3161 2149 L 3161 389 mt 3161 411 L 3128 2317 mt (8) s 899 2172 mt 921 2172 L 3161 2172 mt 3138 2172 L 631 2216 mt (0.96) s 899 1874 mt 921 1874 L 3161 1874 mt 3138 1874 L 564 1918 mt (0.965) s 899 1577 mt 921 1577 L 3161 1577 mt 3138 1577 L 631 1621 mt (0.97) s 899 1280 mt 921 1280 L 3161 1280 mt 3138 1280 L 564 1324 mt (0.975) s 899 983 mt 921 983 L 3161 983 mt 3138 983 L 631 1027 mt (0.98) s 899 686 mt 921 686 L 3161 686 mt 3138 686 L 564 730 mt (0.985) s 899 389 mt 921 389 L 3161 389 mt 3138 389 L 631 433 mt (0.99) s 899 2172 mt 3161 2172 L 899 389 mt 3161 389 L 899 2172 mt 899 389 L 3161 2172 mt 3161 389 L gs 899 389 2263 1784 MR c np DA 754 11 754 31 754 143 899 1772 4 MP stroke gr DA SO 0 j 24 31 -24 31 -24 -31 24 -31 899 1803 5 MP gs PP gr DP 24 31 -24 31 -24 -31 24 -31 1653 1946 5 MP gs PP gr DP 24 31 -24 31 -24 -31 24 -31 2407 1977 5 MP gs PP gr DP 24 31 -24 31 -24 -31 24 -31 3161 1988 5 MP gs PP gr DP DA gs 899 389 2263 1784 MR c np SO 754 24 754 43 754 117 899 1797 4 MP stroke gr SO 24 31 -24 31 -24 -31 24 -31 899 1828 5 MP gs PP gr DP 24 31 -24 31 -24 -31 24 -31 1653 1945 5 MP gs PP gr DP 24 31 -24 31 -24 -31 24 -31 2407 1988 5 MP gs PP gr DP 24 31 -24 31 -24 -31 24 -31 3161 2012 5 MP gs PP gr DP gs 899 389 2263 1784 MR c np DD 754 54 754 37 754 214 899 1674 4 MP stroke gr DD SO 24 31 -24 31 -24 -31 24 -31 899 1705 5 MP gs PP gr DP 24 31 -24 31 -24 -31 24 -31 1653 1919 5 MP gs PP gr DP 24 31 -24 31 -24 -31 24 -31 2407 1956 5 MP gs PP gr DP 24 31 -24 31 -24 -31 24 -31 3161 2010 5 MP gs PP gr DP DD gs 899 389 2263 1784 MR c np DA /c8 { 0.000000 0.000000 1.000000 sr} bdef c8 754 148 754 312 754 149 899 802 4 MP stroke gr c8 DA SO 24 24 899 802 PO 24 24 1653 951 PO 24 24 2407 1263 PO 24 24 3161 1411 PO 24 24 899 802 FO 24 24 1653 951 FO 24 24 2407 1263 FO 24 24 3161 1411 FO DA gs 899 389 2263 1784 MR c np SO 754 165 754 241 754 140 899 666 4 MP stroke gr SO 24 24 899 666 PO 24 24 1653 806 PO 24 24 2407 1047 PO 24 24 3161 1212 PO 24 24 899 666 FO 24 24 1653 806 FO 24 24 2407 1047 FO 24 24 3161 1212 FO gs 899 389 2263 1784 MR c np DD 754 137 754 277 754 192 899 1108 4 MP stroke gr DD SO 24 24 899 1108 PO 24 24 1653 1300 PO 24 24 2407 1577 PO 24 24 3161 1714 PO 24 24 899 1108 FO 24 24 1653 1300 FO 24 24 2407 1577 FO 24 24 3161 1714 FO DD gs 899 389 2263 1784 MR c np DO /c9 { 1.000000 0.000000 0.000000 sr} bdef c9 754 86 754 212 754 235 899 1250 4 MP stroke gr c9 DO SO 0 -38 -38 0 0 38 38 0 880 1231 5 MP gs PP gr DP 0 -38 -38 0 0 38 38 0 1634 1466 5 MP gs PP gr DP 0 -38 -38 0 0 38 38 0 2388 1678 5 MP gs PP gr DP 0 -38 -38 0 0 38 38 0 3142 1764 5 MP gs PP gr DP DO gs 899 389 2263 1784 MR c np 754 0 754 0 754 0 899 1985 4 MP stroke gr 0 sg %%IncludeResource: font Helvetica /Helvetica /ISOLatin1Encoding 144 FMSR 1060 289 mt (Repulsive coupling \(0.25,0.25\)) s SO end eplot %%EndObject epage end showpage %%Trailer %%EOF %%EndDocument @endspecial 832 w @beginspecial 70 @llx 416 @lly 289 @urx 603 @ury 936 @rwi @setspecial %%BeginDocument: figures/bound11.eps %!PS-Adobe-2.0 EPSF-1.2 %%Creator: MATLAB, The Mathworks, Inc. %%Title: /home/eecs/epxing/matlab/GMF/bound11.eps %%CreationDate: 06/01/2003 23:53:16 %%DocumentNeededFonts: Helvetica %%DocumentProcessColors: Cyan Magenta Yellow Black %%Extensions: CMYK %%Pages: 1 %%BoundingBox: 70 416 289 603 %%EndComments %%BeginProlog % MathWorks dictionary /MathWorks 160 dict begin % definition operators /bdef {bind def} bind def /ldef {load def} bind def /xdef {exch def} bdef /xstore {exch store} bdef % operator abbreviations /c /clip ldef /cc /concat ldef /cp /closepath ldef /gr /grestore ldef /gs /gsave ldef /mt /moveto ldef /np /newpath ldef /cm /currentmatrix ldef /sm /setmatrix ldef /rm /rmoveto ldef /rl /rlineto ldef /s /show ldef /sc {setcmykcolor} bdef /sr /setrgbcolor ldef /sg /setgray ldef /w /setlinewidth ldef /j /setlinejoin ldef /cap /setlinecap ldef /rc {rectclip} bdef /rf {rectfill} bdef % page state control /pgsv () def /bpage {/pgsv save def} bdef /epage {pgsv restore} bdef /bplot /gsave ldef /eplot {stroke grestore} bdef % orientation switch /portraitMode 0 def /landscapeMode 1 def /rotateMode 2 def % coordinate system mappings /dpi2point 0 def % font control /FontSize 0 def /FMS {/FontSize xstore findfont [FontSize 0 0 FontSize neg 0 0] makefont setfont} bdef /reencode {exch dup where {pop load} {pop StandardEncoding} ifelse exch dup 3 1 roll findfont dup length dict begin { 1 index /FID ne {def}{pop pop} ifelse } forall /Encoding exch def currentdict end definefont pop} bdef /isroman {findfont /CharStrings get /Agrave known} bdef /FMSR {3 1 roll 1 index dup isroman {reencode} {pop pop} ifelse exch FMS} bdef /csm {1 dpi2point div -1 dpi2point div scale neg translate dup landscapeMode eq {pop -90 rotate} {rotateMode eq {90 rotate} if} ifelse} bdef % line types: solid, dotted, dashed, dotdash /SO { [] 0 setdash } bdef /DO { [.5 dpi2point mul 4 dpi2point mul] 0 setdash } bdef /DA { [6 dpi2point mul] 0 setdash } bdef /DD { [.5 dpi2point mul 4 dpi2point mul 6 dpi2point mul 4 dpi2point mul] 0 setdash } bdef % macros for lines and objects /L {lineto stroke} bdef /MP {3 1 roll moveto 1 sub {rlineto} repeat} bdef /AP {{rlineto} repeat} bdef /PDlw -1 def /W {/PDlw currentlinewidth def setlinewidth} def /PP {closepath eofill} bdef /DP {closepath stroke} bdef /MR {4 -2 roll moveto dup 0 exch rlineto exch 0 rlineto neg 0 exch rlineto closepath} bdef /FR {MR stroke} bdef /PR {MR fill} bdef /L1i {{currentfile picstr readhexstring pop} image} bdef /tMatrix matrix def /MakeOval {newpath tMatrix currentmatrix pop translate scale 0 0 1 0 360 arc tMatrix setmatrix} bdef /FO {MakeOval stroke} bdef /PO {MakeOval fill} bdef /PD {currentlinewidth 2 div 0 360 arc fill PDlw -1 eq not {PDlw w /PDlw -1 def} if} def /FA {newpath tMatrix currentmatrix pop translate scale 0 0 1 5 -2 roll arc tMatrix setmatrix stroke} bdef /PA {newpath tMatrix currentmatrix pop translate 0 0 moveto scale 0 0 1 5 -2 roll arc closepath tMatrix setmatrix fill} bdef /FAn {newpath tMatrix currentmatrix pop translate scale 0 0 1 5 -2 roll arcn tMatrix setmatrix stroke} bdef /PAn {newpath tMatrix currentmatrix pop translate 0 0 moveto scale 0 0 1 5 -2 roll arcn closepath tMatrix setmatrix fill} bdef /vradius 0 def /hradius 0 def /lry 0 def /lrx 0 def /uly 0 def /ulx 0 def /rad 0 def /MRR {/vradius xdef /hradius xdef /lry xdef /lrx xdef /uly xdef /ulx xdef newpath tMatrix currentmatrix pop ulx hradius add uly vradius add translate hradius vradius scale 0 0 1 180 270 arc tMatrix setmatrix lrx hradius sub uly vradius add translate hradius vradius scale 0 0 1 270 360 arc tMatrix setmatrix lrx hradius sub lry vradius sub translate hradius vradius scale 0 0 1 0 90 arc tMatrix setmatrix ulx hradius add lry vradius sub translate hradius vradius scale 0 0 1 90 180 arc tMatrix setmatrix closepath} bdef /FRR {MRR stroke } bdef /PRR {MRR fill } bdef /MlrRR {/lry xdef /lrx xdef /uly xdef /ulx xdef /rad lry uly sub 2 div def newpath tMatrix currentmatrix pop ulx rad add uly rad add translate rad rad scale 0 0 1 90 270 arc tMatrix setmatrix lrx rad sub lry rad sub translate rad rad scale 0 0 1 270 90 arc tMatrix setmatrix closepath} bdef /FlrRR {MlrRR stroke } bdef /PlrRR {MlrRR fill } bdef /MtbRR {/lry xdef /lrx xdef /uly xdef /ulx xdef /rad lrx ulx sub 2 div def newpath tMatrix currentmatrix pop ulx rad add uly rad add translate rad rad scale 0 0 1 180 360 arc tMatrix setmatrix lrx rad sub lry rad sub translate rad rad scale 0 0 1 0 180 arc tMatrix setmatrix closepath} bdef /FtbRR {MtbRR stroke } bdef /PtbRR {MtbRR fill } bdef /stri 6 array def /dtri 6 array def /smat 6 array def /dmat 6 array def /tmat1 6 array def /tmat2 6 array def /dif 3 array def /asub {/ind2 exch def /ind1 exch def dup dup ind1 get exch ind2 get sub exch } bdef /tri_to_matrix { 2 0 asub 3 1 asub 4 0 asub 5 1 asub dup 0 get exch 1 get 7 -1 roll astore } bdef /compute_transform { dmat dtri tri_to_matrix tmat1 invertmatrix smat stri tri_to_matrix tmat2 concatmatrix } bdef /ds {stri astore pop} bdef /dt {dtri astore pop} bdef /db {2 copy /cols xdef /rows xdef mul dup 3 mul string currentfile exch readhexstring pop dup 0 3 index getinterval /rbmap xdef dup 2 index dup getinterval /gbmap xdef 1 index dup 2 mul exch getinterval /bbmap xdef pop pop}bdef /it {gs np dtri aload pop moveto lineto lineto cp c cols rows 8 compute_transform rbmap gbmap bbmap true 3 colorimage gr}bdef /il {newpath moveto lineto stroke}bdef currentdict end def %%EndProlog %%BeginSetup MathWorks begin 0 cap end %%EndSetup %%Page: 1 1 %%BeginPageSetup %%PageBoundingBox: 70 416 289 603 MathWorks begin bpage %%EndPageSetup %%BeginObject: obj1 bplot /dpi2point 12 def portraitMode 0216 7344 csm 631 107 2628 2238 MR c np 92 dict begin %Colortable dictionary /c0 { 0 0 0 sr} bdef /c1 { 1 1 1 sr} bdef /c2 { 1 0 0 sr} bdef /c3 { 0 1 0 sr} bdef /c4 { 0 0 1 sr} bdef /c5 { 1 1 0 sr} bdef /c6 { 1 0 1 sr} bdef /c7 { 0 1 1 sr} bdef c0 1 j 1 sg 0 0 6918 5185 PR 6 w 0 1784 2262 0 0 -1784 899 2172 4 MP PP -2262 0 0 1784 2262 0 0 -1784 899 2172 5 MP stroke 4 w DO SO 6 w 0 sg 899 2172 mt 3161 2172 L 899 388 mt 3161 388 L 899 2172 mt 899 388 L 3161 2172 mt 3161 388 L 899 2172 mt 3161 2172 L 899 2172 mt 899 388 L 899 2172 mt 899 2149 L 899 389 mt 899 411 L %%IncludeResource: font Helvetica /Helvetica /ISOLatin1Encoding 120 FMSR 866 2317 mt (3) s 1653 2172 mt 1653 2149 L 1653 389 mt 1653 411 L 1620 2317 mt (4) s 2407 2172 mt 2407 2149 L 2407 389 mt 2407 411 L 2374 2317 mt (6) s 3161 2172 mt 3161 2149 L 3161 389 mt 3161 411 L 3128 2317 mt (8) s 899 2109 mt 921 2109 L 3161 2109 mt 3138 2109 L 631 2153 mt (0.88) s 899 1735 mt 921 1735 L 3161 1735 mt 3138 1735 L 698 1779 mt (0.9) s 899 1361 mt 921 1361 L 3161 1361 mt 3138 1361 L 631 1405 mt (0.92) s 899 986 mt 921 986 L 3161 986 mt 3138 986 L 631 1030 mt (0.94) s 899 612 mt 921 612 L 3161 612 mt 3138 612 L 631 656 mt (0.96) s 899 2172 mt 3161 2172 L 899 388 mt 3161 388 L 899 2172 mt 899 388 L 3161 2172 mt 3161 388 L %%IncludeResource: font Helvetica /Helvetica /ISOLatin1Encoding 144 FMSR 1100 289 mt (Repulsive coupling \(0.25,0.5\)) s gs 899 389 2263 1784 MR c np DA 754 27 754 20 754 101 899 1708 4 MP stroke gr DA SO 0 j 24 31 -24 31 -24 -31 24 -31 899 1739 5 MP gs PP gr DP 24 31 -24 31 -24 -31 24 -31 1653 1840 5 MP gs PP gr DP 24 31 -24 31 -24 -31 24 -31 2407 1860 5 MP gs PP gr DP 24 31 -24 31 -24 -31 24 -31 3161 1887 5 MP gs PP gr DP DA gs 899 389 2263 1784 MR c np SO 754 26 754 26 754 77 899 1734 4 MP stroke gr SO 24 31 -24 31 -24 -31 24 -31 899 1765 5 MP gs PP gr DP 24 31 -24 31 -24 -31 24 -31 1653 1842 5 MP gs PP gr DP 24 31 -24 31 -24 -31 24 -31 2407 1868 5 MP gs PP gr DP 24 31 -24 31 -24 -31 24 -31 3161 1894 5 MP gs PP gr DP gs 899 389 2263 1784 MR c np DD 754 33 754 9 754 124 899 1682 4 MP stroke gr DD SO 24 31 -24 31 -24 -31 24 -31 899 1713 5 MP gs PP gr DP 24 31 -24 31 -24 -31 24 -31 1653 1837 5 MP gs PP gr DP 24 31 -24 31 -24 -31 24 -31 2407 1846 5 MP gs PP gr DP 24 31 -24 31 -24 -31 24 -31 3161 1879 5 MP gs PP gr DP DD gs 899 389 2263 1784 MR c np DA /c8 { 0.000000 0.000000 1.000000 sr} bdef c8 754 139 754 214 754 197 899 876 4 MP stroke gr c8 DA SO 24 24 899 876 PO 24 24 1653 1073 PO 24 24 2407 1287 PO 24 24 3161 1426 PO 24 24 899 876 FO 24 24 1653 1073 FO 24 24 2407 1287 FO 24 24 3161 1426 FO DA gs 899 389 2263 1784 MR c np SO 754 132 754 210 754 172 899 745 4 MP stroke gr SO 24 24 899 745 PO 24 24 1653 917 PO 24 24 2407 1127 PO 24 24 3161 1259 PO 24 24 899 745 FO 24 24 1653 917 FO 24 24 2407 1127 FO 24 24 3161 1259 FO gs 899 389 2263 1784 MR c np DD 754 148 754 191 754 165 899 1141 4 MP stroke gr DD SO 24 24 899 1141 PO 24 24 1653 1306 PO 24 24 2407 1497 PO 24 24 3161 1645 PO 24 24 899 1141 FO 24 24 1653 1306 FO 24 24 2407 1497 FO 24 24 3161 1645 FO DD gs 899 389 2263 1784 MR c np DO /c9 { 1.000000 0.000000 0.000000 sr} bdef c9 754 61 754 145 754 160 899 1337 4 MP stroke gr c9 DO SO 0 -38 -38 0 0 38 38 0 880 1318 5 MP gs PP gr DP 0 -38 -38 0 0 38 38 0 1634 1478 5 MP gs PP gr DP 0 -38 -38 0 0 38 38 0 2388 1623 5 MP gs PP gr DP 0 -38 -38 0 0 38 38 0 3142 1684 5 MP gs PP gr DP DO gs 899 389 2263 1784 MR c np 754 0 754 0 754 0 899 1868 4 MP stroke SO gr SO end eplot %%EndObject epage end showpage %%Trailer %%EOF %%EndDocument @endspecial 833 w @beginspecial 65 @llx 416 @lly 289 @urx 603 @ury 936 @rwi @setspecial %%BeginDocument: figures/bound21.eps %!PS-Adobe-2.0 EPSF-1.2 %%Creator: MATLAB, The Mathworks, Inc. %%Title: /home/eecs/epxing/matlab/GMF/fig/bound21.eps %%CreationDate: 06/02/2003 14:56:39 %%DocumentNeededFonts: Helvetica %%DocumentProcessColors: Cyan Magenta Yellow Black %%Extensions: CMYK %%Pages: 1 %%BoundingBox: 65 416 289 603 %%EndComments %%BeginProlog % MathWorks dictionary /MathWorks 160 dict begin % definition operators /bdef {bind def} bind def /ldef {load def} bind def /xdef {exch def} bdef /xstore {exch store} bdef % operator abbreviations /c /clip ldef /cc /concat ldef /cp /closepath ldef /gr /grestore ldef /gs /gsave ldef /mt /moveto ldef /np /newpath ldef /cm /currentmatrix ldef /sm /setmatrix ldef /rm /rmoveto ldef /rl /rlineto ldef /s /show ldef /sc {setcmykcolor} bdef /sr /setrgbcolor ldef /sg /setgray ldef /w /setlinewidth ldef /j /setlinejoin ldef /cap /setlinecap ldef /rc {rectclip} bdef /rf {rectfill} bdef % page state control /pgsv () def /bpage {/pgsv save def} bdef /epage {pgsv restore} bdef /bplot /gsave ldef /eplot {stroke grestore} bdef % orientation switch /portraitMode 0 def /landscapeMode 1 def /rotateMode 2 def % coordinate system mappings /dpi2point 0 def % font control /FontSize 0 def /FMS {/FontSize xstore findfont [FontSize 0 0 FontSize neg 0 0] makefont setfont} bdef /reencode {exch dup where {pop load} {pop StandardEncoding} ifelse exch dup 3 1 roll findfont dup length dict begin { 1 index /FID ne {def}{pop pop} ifelse } forall /Encoding exch def currentdict end definefont pop} bdef /isroman {findfont /CharStrings get /Agrave known} bdef /FMSR {3 1 roll 1 index dup isroman {reencode} {pop pop} ifelse exch FMS} bdef /csm {1 dpi2point div -1 dpi2point div scale neg translate dup landscapeMode eq {pop -90 rotate} {rotateMode eq {90 rotate} if} ifelse} bdef % line types: solid, dotted, dashed, dotdash /SO { [] 0 setdash } bdef /DO { [.5 dpi2point mul 4 dpi2point mul] 0 setdash } bdef /DA { [6 dpi2point mul] 0 setdash } bdef /DD { [.5 dpi2point mul 4 dpi2point mul 6 dpi2point mul 4 dpi2point mul] 0 setdash } bdef % macros for lines and objects /L {lineto stroke} bdef /MP {3 1 roll moveto 1 sub {rlineto} repeat} bdef /AP {{rlineto} repeat} bdef /PDlw -1 def /W {/PDlw currentlinewidth def setlinewidth} def /PP {closepath eofill} bdef /DP {closepath stroke} bdef /MR {4 -2 roll moveto dup 0 exch rlineto exch 0 rlineto neg 0 exch rlineto closepath} bdef /FR {MR stroke} bdef /PR {MR fill} bdef /L1i {{currentfile picstr readhexstring pop} image} bdef /tMatrix matrix def /MakeOval {newpath tMatrix currentmatrix pop translate scale 0 0 1 0 360 arc tMatrix setmatrix} bdef /FO {MakeOval stroke} bdef /PO {MakeOval fill} bdef /PD {currentlinewidth 2 div 0 360 arc fill PDlw -1 eq not {PDlw w /PDlw -1 def} if} def /FA {newpath tMatrix currentmatrix pop translate scale 0 0 1 5 -2 roll arc tMatrix setmatrix stroke} bdef /PA {newpath tMatrix currentmatrix pop translate 0 0 moveto scale 0 0 1 5 -2 roll arc closepath tMatrix setmatrix fill} bdef /FAn {newpath tMatrix currentmatrix pop translate scale 0 0 1 5 -2 roll arcn tMatrix setmatrix stroke} bdef /PAn {newpath tMatrix currentmatrix pop translate 0 0 moveto scale 0 0 1 5 -2 roll arcn closepath tMatrix setmatrix fill} bdef /vradius 0 def /hradius 0 def /lry 0 def /lrx 0 def /uly 0 def /ulx 0 def /rad 0 def /MRR {/vradius xdef /hradius xdef /lry xdef /lrx xdef /uly xdef /ulx xdef newpath tMatrix currentmatrix pop ulx hradius add uly vradius add translate hradius vradius scale 0 0 1 180 270 arc tMatrix setmatrix lrx hradius sub uly vradius add translate hradius vradius scale 0 0 1 270 360 arc tMatrix setmatrix lrx hradius sub lry vradius sub translate hradius vradius scale 0 0 1 0 90 arc tMatrix setmatrix ulx hradius add lry vradius sub translate hradius vradius scale 0 0 1 90 180 arc tMatrix setmatrix closepath} bdef /FRR {MRR stroke } bdef /PRR {MRR fill } bdef /MlrRR {/lry xdef /lrx xdef /uly xdef /ulx xdef /rad lry uly sub 2 div def newpath tMatrix currentmatrix pop ulx rad add uly rad add translate rad rad scale 0 0 1 90 270 arc tMatrix setmatrix lrx rad sub lry rad sub translate rad rad scale 0 0 1 270 90 arc tMatrix setmatrix closepath} bdef /FlrRR {MlrRR stroke } bdef /PlrRR {MlrRR fill } bdef /MtbRR {/lry xdef /lrx xdef /uly xdef /ulx xdef /rad lrx ulx sub 2 div def newpath tMatrix currentmatrix pop ulx rad add uly rad add translate rad rad scale 0 0 1 180 360 arc tMatrix setmatrix lrx rad sub lry rad sub translate rad rad scale 0 0 1 0 180 arc tMatrix setmatrix closepath} bdef /FtbRR {MtbRR stroke } bdef /PtbRR {MtbRR fill } bdef /stri 6 array def /dtri 6 array def /smat 6 array def /dmat 6 array def /tmat1 6 array def /tmat2 6 array def /dif 3 array def /asub {/ind2 exch def /ind1 exch def dup dup ind1 get exch ind2 get sub exch } bdef /tri_to_matrix { 2 0 asub 3 1 asub 4 0 asub 5 1 asub dup 0 get exch 1 get 7 -1 roll astore } bdef /compute_transform { dmat dtri tri_to_matrix tmat1 invertmatrix smat stri tri_to_matrix tmat2 concatmatrix } bdef /ds {stri astore pop} bdef /dt {dtri astore pop} bdef /db {2 copy /cols xdef /rows xdef mul dup 3 mul string currentfile exch readhexstring pop dup 0 3 index getinterval /rbmap xdef dup 2 index dup getinterval /gbmap xdef 1 index dup 2 mul exch getinterval /bbmap xdef pop pop}bdef /it {gs np dtri aload pop moveto lineto lineto cp c cols rows 8 compute_transform rbmap gbmap bbmap true 3 colorimage gr}bdef /il {newpath moveto lineto stroke}bdef currentdict end def %%EndProlog %%BeginSetup MathWorks begin 0 cap end %%EndSetup %%Page: 1 1 %%BeginPageSetup %%PageBoundingBox: 65 416 289 603 MathWorks begin bpage %%EndPageSetup %%BeginObject: obj1 bplot /dpi2point 12 def portraitMode 0216 7344 csm 564 107 2695 2238 MR c np 92 dict begin %Colortable dictionary /c0 { 0 0 0 sr} bdef /c1 { 1 1 1 sr} bdef /c2 { 1 0 0 sr} bdef /c3 { 0 1 0 sr} bdef /c4 { 0 0 1 sr} bdef /c5 { 1 1 0 sr} bdef /c6 { 1 0 1 sr} bdef /c7 { 0 1 1 sr} bdef c0 1 j 1 sg 0 0 6917 5185 PR 6 w 0 1783 2262 0 0 -1783 899 2172 4 MP PP -2262 0 0 1783 2262 0 0 -1783 899 2172 5 MP stroke 4 w DO SO 6 w 0 sg 899 2172 mt 3161 2172 L 899 389 mt 3161 389 L 899 2172 mt 899 389 L 3161 2172 mt 3161 389 L 899 2172 mt 3161 2172 L 899 2172 mt 899 389 L 899 2172 mt 899 2149 L 899 389 mt 899 411 L %%IncludeResource: font Helvetica /Helvetica /ISOLatin1Encoding 120 FMSR 866 2317 mt (3) s 1653 2172 mt 1653 2149 L 1653 389 mt 1653 411 L 1620 2317 mt (4) s 2407 2172 mt 2407 2149 L 2407 389 mt 2407 411 L 2374 2317 mt (6) s 3161 2172 mt 3161 2149 L 3161 389 mt 3161 411 L 3128 2317 mt (8) s 899 2171 mt 921 2171 L 3161 2171 mt 3138 2171 L 631 2215 mt (0.94) s 899 1800 mt 921 1800 L 3161 1800 mt 3138 1800 L 564 1844 mt (0.945) s 899 1429 mt 921 1429 L 3161 1429 mt 3138 1429 L 631 1473 mt (0.95) s 899 1057 mt 921 1057 L 3161 1057 mt 3138 1057 L 564 1101 mt (0.955) s 899 686 mt 921 686 L 3161 686 mt 3138 686 L 631 730 mt (0.96) s 899 2172 mt 3161 2172 L 899 389 mt 3161 389 L 899 2172 mt 899 389 L 3161 2172 mt 3161 389 L %%IncludeResource: font Helvetica /Helvetica /ISOLatin1Encoding 144 FMSR 1160 289 mt (Repulsive coupling \(0.25,1\)) s gs 899 389 2263 1784 MR c np DA 754 20 754 -23 754 174 899 1664 4 MP stroke gr DA SO 0 j 24 31 -24 31 -24 -31 24 -31 899 1695 5 MP gs PP gr DP 24 31 -24 31 -24 -31 24 -31 1653 1869 5 MP gs PP gr DP 24 31 -24 31 -24 -31 24 -31 2407 1846 5 MP gs PP gr DP 24 31 -24 31 -24 -31 24 -31 3161 1866 5 MP gs PP gr DP DA gs 899 389 2263 1784 MR c np SO 754 9 754 24 754 160 899 1644 4 MP stroke gr SO 24 31 -24 31 -24 -31 24 -31 899 1675 5 MP gs PP gr DP 24 31 -24 31 -24 -31 24 -31 1653 1835 5 MP gs PP gr DP 24 31 -24 31 -24 -31 24 -31 2407 1859 5 MP gs PP gr DP 24 31 -24 31 -24 -31 24 -31 3161 1868 5 MP gs PP gr DP gs 899 389 2263 1784 MR c np DD 754 55 754 20 754 98 899 1665 4 MP stroke gr DD SO 24 31 -24 31 -24 -31 24 -31 899 1696 5 MP gs PP gr DP 24 31 -24 31 -24 -31 24 -31 1653 1794 5 MP gs PP gr DP 24 31 -24 31 -24 -31 24 -31 2407 1814 5 MP gs PP gr DP 24 31 -24 31 -24 -31 24 -31 3161 1869 5 MP gs PP gr DP DD gs 899 389 2263 1784 MR c np DA /c8 { 0.000000 0.000000 1.000000 sr} bdef c8 754 71 754 257 754 143 899 826 4 MP stroke gr c8 DA SO 24 24 899 826 PO 24 24 1653 969 PO 24 24 2407 1226 PO 24 24 3161 1297 PO 24 24 899 826 FO 24 24 1653 969 FO 24 24 2407 1226 FO 24 24 3161 1297 FO DA gs 899 389 2263 1784 MR c np SO 754 106 754 291 754 98 899 657 4 MP stroke gr SO 24 24 899 657 PO 24 24 1653 755 PO 24 24 2407 1046 PO 24 24 3161 1152 PO 24 24 899 657 FO 24 24 1653 755 FO 24 24 2407 1046 FO 24 24 3161 1152 FO gs 899 389 2263 1784 MR c np DD 754 199 754 152 754 237 899 1072 4 MP stroke gr DD SO 24 24 899 1072 PO 24 24 1653 1309 PO 24 24 2407 1461 PO 24 24 3161 1660 PO 24 24 899 1072 FO 24 24 1653 1309 FO 24 24 2407 1461 FO 24 24 3161 1660 FO DD gs 899 389 2263 1784 MR c np DO /c9 { 1.000000 0.000000 0.000000 sr} bdef c9 754 105 754 133 754 168 899 1344 4 MP stroke gr c9 DO SO 0 -38 -38 0 0 38 38 0 880 1325 5 MP gs PP gr DP 0 -38 -38 0 0 38 38 0 1634 1493 5 MP gs PP gr DP 0 -38 -38 0 0 38 38 0 2388 1626 5 MP gs PP gr DP 0 -38 -38 0 0 38 38 0 3142 1731 5 MP gs PP gr DP DO gs 899 389 2263 1784 MR c np 754 0 754 0 754 0 899 1840 4 MP stroke SO gr SO end eplot %%EndObject epage end showpage %%Trailer %%EOF %%EndDocument @endspecial 344 1975 a @beginspecial 65 @llx 416 @lly 289 @urx 603 @ury 936 @rwi @setspecial %%BeginDocument: figures/mixbound5.eps %!PS-Adobe-2.0 EPSF-1.2 %%Creator: MATLAB, The Mathworks, Inc. %%Title: /home/eecs/epxing/matlab/GMF/fig/mixbound5.eps %%CreationDate: 06/04/2003 14:06:52 %%DocumentNeededFonts: Helvetica %%DocumentProcessColors: Cyan Magenta Yellow Black %%Extensions: CMYK %%Pages: 1 %%BoundingBox: 65 416 289 603 %%EndComments %%BeginProlog % MathWorks dictionary /MathWorks 160 dict begin % definition operators /bdef {bind def} bind def /ldef {load def} bind def /xdef {exch def} bdef /xstore {exch store} bdef % operator abbreviations /c /clip ldef /cc /concat ldef /cp /closepath ldef /gr /grestore ldef /gs /gsave ldef /mt /moveto ldef /np /newpath ldef /cm /currentmatrix ldef /sm /setmatrix ldef /rm /rmoveto ldef /rl /rlineto ldef /s /show ldef /sc {setcmykcolor} bdef /sr /setrgbcolor ldef /sg /setgray ldef /w /setlinewidth ldef /j /setlinejoin ldef /cap /setlinecap ldef /rc {rectclip} bdef /rf {rectfill} bdef % page state control /pgsv () def /bpage {/pgsv save def} bdef /epage {pgsv restore} bdef /bplot /gsave ldef /eplot {stroke grestore} bdef % orientation switch /portraitMode 0 def /landscapeMode 1 def /rotateMode 2 def % coordinate system mappings /dpi2point 0 def % font control /FontSize 0 def /FMS {/FontSize xstore findfont [FontSize 0 0 FontSize neg 0 0] makefont setfont} bdef /reencode {exch dup where {pop load} {pop StandardEncoding} ifelse exch dup 3 1 roll findfont dup length dict begin { 1 index /FID ne {def}{pop pop} ifelse } forall /Encoding exch def currentdict end definefont pop} bdef /isroman {findfont /CharStrings get /Agrave known} bdef /FMSR {3 1 roll 1 index dup isroman {reencode} {pop pop} ifelse exch FMS} bdef /csm {1 dpi2point div -1 dpi2point div scale neg translate dup landscapeMode eq {pop -90 rotate} {rotateMode eq {90 rotate} if} ifelse} bdef % line types: solid, dotted, dashed, dotdash /SO { [] 0 setdash } bdef /DO { [.5 dpi2point mul 4 dpi2point mul] 0 setdash } bdef /DA { [6 dpi2point mul] 0 setdash } bdef /DD { [.5 dpi2point mul 4 dpi2point mul 6 dpi2point mul 4 dpi2point mul] 0 setdash } bdef % macros for lines and objects /L {lineto stroke} bdef /MP {3 1 roll moveto 1 sub {rlineto} repeat} bdef /AP {{rlineto} repeat} bdef /PDlw -1 def /W {/PDlw currentlinewidth def setlinewidth} def /PP {closepath eofill} bdef /DP {closepath stroke} bdef /MR {4 -2 roll moveto dup 0 exch rlineto exch 0 rlineto neg 0 exch rlineto closepath} bdef /FR {MR stroke} bdef /PR {MR fill} bdef /L1i {{currentfile picstr readhexstring pop} image} bdef /tMatrix matrix def /MakeOval {newpath tMatrix currentmatrix pop translate scale 0 0 1 0 360 arc tMatrix setmatrix} bdef /FO {MakeOval stroke} bdef /PO {MakeOval fill} bdef /PD {currentlinewidth 2 div 0 360 arc fill PDlw -1 eq not {PDlw w /PDlw -1 def} if} def /FA {newpath tMatrix currentmatrix pop translate scale 0 0 1 5 -2 roll arc tMatrix setmatrix stroke} bdef /PA {newpath tMatrix currentmatrix pop translate 0 0 moveto scale 0 0 1 5 -2 roll arc closepath tMatrix setmatrix fill} bdef /FAn {newpath tMatrix currentmatrix pop translate scale 0 0 1 5 -2 roll arcn tMatrix setmatrix stroke} bdef /PAn {newpath tMatrix currentmatrix pop translate 0 0 moveto scale 0 0 1 5 -2 roll arcn closepath tMatrix setmatrix fill} bdef /vradius 0 def /hradius 0 def /lry 0 def /lrx 0 def /uly 0 def /ulx 0 def /rad 0 def /MRR {/vradius xdef /hradius xdef /lry xdef /lrx xdef /uly xdef /ulx xdef newpath tMatrix currentmatrix pop ulx hradius add uly vradius add translate hradius vradius scale 0 0 1 180 270 arc tMatrix setmatrix lrx hradius sub uly vradius add translate hradius vradius scale 0 0 1 270 360 arc tMatrix setmatrix lrx hradius sub lry vradius sub translate hradius vradius scale 0 0 1 0 90 arc tMatrix setmatrix ulx hradius add lry vradius sub translate hradius vradius scale 0 0 1 90 180 arc tMatrix setmatrix closepath} bdef /FRR {MRR stroke } bdef /PRR {MRR fill } bdef /MlrRR {/lry xdef /lrx xdef /uly xdef /ulx xdef /rad lry uly sub 2 div def newpath tMatrix currentmatrix pop ulx rad add uly rad add translate rad rad scale 0 0 1 90 270 arc tMatrix setmatrix lrx rad sub lry rad sub translate rad rad scale 0 0 1 270 90 arc tMatrix setmatrix closepath} bdef /FlrRR {MlrRR stroke } bdef /PlrRR {MlrRR fill } bdef /MtbRR {/lry xdef /lrx xdef /uly xdef /ulx xdef /rad lrx ulx sub 2 div def newpath tMatrix currentmatrix pop ulx rad add uly rad add translate rad rad scale 0 0 1 180 360 arc tMatrix setmatrix lrx rad sub lry rad sub translate rad rad scale 0 0 1 0 180 arc tMatrix setmatrix closepath} bdef /FtbRR {MtbRR stroke } bdef /PtbRR {MtbRR fill } bdef /stri 6 array def /dtri 6 array def /smat 6 array def /dmat 6 array def /tmat1 6 array def /tmat2 6 array def /dif 3 array def /asub {/ind2 exch def /ind1 exch def dup dup ind1 get exch ind2 get sub exch } bdef /tri_to_matrix { 2 0 asub 3 1 asub 4 0 asub 5 1 asub dup 0 get exch 1 get 7 -1 roll astore } bdef /compute_transform { dmat dtri tri_to_matrix tmat1 invertmatrix smat stri tri_to_matrix tmat2 concatmatrix } bdef /ds {stri astore pop} bdef /dt {dtri astore pop} bdef /db {2 copy /cols xdef /rows xdef mul dup 3 mul string currentfile exch readhexstring pop dup 0 3 index getinterval /rbmap xdef dup 2 index dup getinterval /gbmap xdef 1 index dup 2 mul exch getinterval /bbmap xdef pop pop}bdef /it {gs np dtri aload pop moveto lineto lineto cp c cols rows 8 compute_transform rbmap gbmap bbmap true 3 colorimage gr}bdef /il {newpath moveto lineto stroke}bdef currentdict end def %%EndProlog %%BeginSetup MathWorks begin 0 cap end %%EndSetup %%Page: 1 1 %%BeginPageSetup %%PageBoundingBox: 65 416 289 603 MathWorks begin bpage %%EndPageSetup %%BeginObject: obj1 bplot /dpi2point 12 def portraitMode 0216 7344 csm 564 107 2695 2238 MR c np 92 dict begin %Colortable dictionary /c0 { 0 0 0 sr} bdef /c1 { 1 1 1 sr} bdef /c2 { 1 0 0 sr} bdef /c3 { 0 1 0 sr} bdef /c4 { 0 0 1 sr} bdef /c5 { 1 1 0 sr} bdef /c6 { 1 0 1 sr} bdef /c7 { 0 1 1 sr} bdef c0 1 j 1 sg 0 0 6917 5185 PR 6 w 0 1783 2262 0 0 -1783 899 2172 4 MP PP -2262 0 0 1783 2262 0 0 -1783 899 2172 5 MP stroke 4 w DO SO 6 w 0 sg 899 2172 mt 3161 2172 L 899 389 mt 3161 389 L 899 2172 mt 899 389 L 3161 2172 mt 3161 389 L 899 2172 mt 3161 2172 L 899 2172 mt 899 389 L 899 2172 mt 899 2149 L 899 389 mt 899 411 L %%IncludeResource: font Helvetica /Helvetica /ISOLatin1Encoding 120 FMSR 866 2317 mt (3) s 1653 2172 mt 1653 2149 L 1653 389 mt 1653 411 L 1620 2317 mt (4) s 2407 2172 mt 2407 2149 L 2407 389 mt 2407 411 L 2374 2317 mt (6) s 3161 2172 mt 3161 2149 L 3161 389 mt 3161 411 L 3128 2317 mt (8) s 899 2172 mt 921 2172 L 3161 2172 mt 3138 2172 L 564 2216 mt (0.992) s 899 1726 mt 921 1726 L 3161 1726 mt 3138 1726 L 564 1770 mt (0.994) s 899 1280 mt 921 1280 L 3161 1280 mt 3138 1280 L 564 1324 mt (0.996) s 899 834 mt 921 834 L 3161 834 mt 3138 834 L 564 878 mt (0.998) s 899 389 mt 921 389 L 3161 389 mt 3138 389 L 798 433 mt (1) s 899 2172 mt 3161 2172 L 899 389 mt 3161 389 L 899 2172 mt 899 389 L 3161 2172 mt 3161 389 L gs 899 389 2263 1784 MR c np DA 754 18 754 -4 754 110 899 1817 4 MP stroke gr DA SO 0 j 24 31 -24 31 -24 -31 24 -31 899 1848 5 MP gs PP gr DP 24 31 -24 31 -24 -31 24 -31 1653 1958 5 MP gs PP gr DP 24 31 -24 31 -24 -31 24 -31 2407 1954 5 MP gs PP gr DP 24 31 -24 31 -24 -31 24 -31 3161 1972 5 MP gs PP gr DP DA gs 899 389 2263 1784 MR c np SO 754 6 754 7 754 77 899 1859 4 MP stroke gr SO 24 31 -24 31 -24 -31 24 -31 899 1890 5 MP gs PP gr DP 24 31 -24 31 -24 -31 24 -31 1653 1967 5 MP gs PP gr DP 24 31 -24 31 -24 -31 24 -31 2407 1974 5 MP gs PP gr DP 24 31 -24 31 -24 -31 24 -31 3161 1980 5 MP gs PP gr DP gs 899 389 2263 1784 MR c np DD 754 -3 754 -6 754 197 899 1715 4 MP stroke gr DD SO 24 31 -24 31 -24 -31 24 -31 899 1746 5 MP gs PP gr DP 24 31 -24 31 -24 -31 24 -31 1653 1943 5 MP gs PP gr DP 24 31 -24 31 -24 -31 24 -31 2407 1937 5 MP gs PP gr DP 24 31 -24 31 -24 -31 24 -31 3161 1934 5 MP gs PP gr DP DD gs 899 389 2263 1784 MR c np DA /c8 { 0.000000 0.000000 1.000000 sr} bdef c8 754 112 754 254 754 120 899 1086 4 MP stroke gr c8 DA SO 24 24 899 1086 PO 24 24 1653 1206 PO 24 24 2407 1460 PO 24 24 3161 1572 PO 24 24 899 1086 FO 24 24 1653 1206 FO 24 24 2407 1460 FO 24 24 3161 1572 FO DA gs 899 389 2263 1784 MR c np SO 754 154 754 175 754 91 899 898 4 MP stroke gr SO 24 24 899 898 PO 24 24 1653 989 PO 24 24 2407 1164 PO 24 24 3161 1318 PO 24 24 899 898 FO 24 24 1653 989 FO 24 24 2407 1164 FO 24 24 3161 1318 FO gs 899 389 2263 1784 MR c np DD 754 103 754 157 754 199 899 1388 4 MP stroke gr DD SO 24 24 899 1388 PO 24 24 1653 1587 PO 24 24 2407 1744 PO 24 24 3161 1847 PO 24 24 899 1388 FO 24 24 1653 1587 FO 24 24 2407 1744 FO 24 24 3161 1847 FO DD gs 899 389 2263 1784 MR c np DO /c9 { 1.000000 0.000000 0.000000 sr} bdef c9 754 55 754 111 754 148 899 1471 4 MP stroke gr c9 DO SO 0 -38 -38 0 0 38 38 0 880 1452 5 MP gs PP gr DP 0 -38 -38 0 0 38 38 0 1634 1600 5 MP gs PP gr DP 0 -38 -38 0 0 38 38 0 2388 1711 5 MP gs PP gr DP 0 -38 -38 0 0 38 38 0 3142 1766 5 MP gs PP gr DP DO gs 899 389 2263 1784 MR c np 754 0 754 0 754 0 899 1950 4 MP stroke gr 0 sg %%IncludeResource: font Helvetica /Helvetica /ISOLatin1Encoding 144 FMSR 1184 289 mt (Mixed coupling \(0.25,0.12\)) s SO end eplot %%EndObject epage end showpage %%Trailer %%EOF %%EndDocument @endspecial 832 w @beginspecial 65 @llx 416 @lly 289 @urx 603 @ury 936 @rwi @setspecial %%BeginDocument: figures/mixbound2.eps %!PS-Adobe-2.0 EPSF-1.2 %%Creator: MATLAB, The Mathworks, Inc. %%Title: /home/eecs/epxing/matlab/GMF/mixbound2.eps %%CreationDate: 06/02/2003 00:00:06 %%DocumentNeededFonts: Helvetica %%DocumentProcessColors: Cyan Magenta Yellow Black %%Extensions: CMYK %%Pages: 1 %%BoundingBox: 65 416 289 603 %%EndComments %%BeginProlog % MathWorks dictionary /MathWorks 160 dict begin % definition operators /bdef {bind def} bind def /ldef {load def} bind def /xdef {exch def} bdef /xstore {exch store} bdef % operator abbreviations /c /clip ldef /cc /concat ldef /cp /closepath ldef /gr /grestore ldef /gs /gsave ldef /mt /moveto ldef /np /newpath ldef /cm /currentmatrix ldef /sm /setmatrix ldef /rm /rmoveto ldef /rl /rlineto ldef /s /show ldef /sc {setcmykcolor} bdef /sr /setrgbcolor ldef /sg /setgray ldef /w /setlinewidth ldef /j /setlinejoin ldef /cap /setlinecap ldef /rc {rectclip} bdef /rf {rectfill} bdef % page state control /pgsv () def /bpage {/pgsv save def} bdef /epage {pgsv restore} bdef /bplot /gsave ldef /eplot {stroke grestore} bdef % orientation switch /portraitMode 0 def /landscapeMode 1 def /rotateMode 2 def % coordinate system mappings /dpi2point 0 def % font control /FontSize 0 def /FMS {/FontSize xstore findfont [FontSize 0 0 FontSize neg 0 0] makefont setfont} bdef /reencode {exch dup where {pop load} {pop StandardEncoding} ifelse exch dup 3 1 roll findfont dup length dict begin { 1 index /FID ne {def}{pop pop} ifelse } forall /Encoding exch def currentdict end definefont pop} bdef /isroman {findfont /CharStrings get /Agrave known} bdef /FMSR {3 1 roll 1 index dup isroman {reencode} {pop pop} ifelse exch FMS} bdef /csm {1 dpi2point div -1 dpi2point div scale neg translate dup landscapeMode eq {pop -90 rotate} {rotateMode eq {90 rotate} if} ifelse} bdef % line types: solid, dotted, dashed, dotdash /SO { [] 0 setdash } bdef /DO { [.5 dpi2point mul 4 dpi2point mul] 0 setdash } bdef /DA { [6 dpi2point mul] 0 setdash } bdef /DD { [.5 dpi2point mul 4 dpi2point mul 6 dpi2point mul 4 dpi2point mul] 0 setdash } bdef % macros for lines and objects /L {lineto stroke} bdef /MP {3 1 roll moveto 1 sub {rlineto} repeat} bdef /AP {{rlineto} repeat} bdef /PDlw -1 def /W {/PDlw currentlinewidth def setlinewidth} def /PP {closepath eofill} bdef /DP {closepath stroke} bdef /MR {4 -2 roll moveto dup 0 exch rlineto exch 0 rlineto neg 0 exch rlineto closepath} bdef /FR {MR stroke} bdef /PR {MR fill} bdef /L1i {{currentfile picstr readhexstring pop} image} bdef /tMatrix matrix def /MakeOval {newpath tMatrix currentmatrix pop translate scale 0 0 1 0 360 arc tMatrix setmatrix} bdef /FO {MakeOval stroke} bdef /PO {MakeOval fill} bdef /PD {currentlinewidth 2 div 0 360 arc fill PDlw -1 eq not {PDlw w /PDlw -1 def} if} def /FA {newpath tMatrix currentmatrix pop translate scale 0 0 1 5 -2 roll arc tMatrix setmatrix stroke} bdef /PA {newpath tMatrix currentmatrix pop translate 0 0 moveto scale 0 0 1 5 -2 roll arc closepath tMatrix setmatrix fill} bdef /FAn {newpath tMatrix currentmatrix pop translate scale 0 0 1 5 -2 roll arcn tMatrix setmatrix stroke} bdef /PAn {newpath tMatrix currentmatrix pop translate 0 0 moveto scale 0 0 1 5 -2 roll arcn closepath tMatrix setmatrix fill} bdef /vradius 0 def /hradius 0 def /lry 0 def /lrx 0 def /uly 0 def /ulx 0 def /rad 0 def /MRR {/vradius xdef /hradius xdef /lry xdef /lrx xdef /uly xdef /ulx xdef newpath tMatrix currentmatrix pop ulx hradius add uly vradius add translate hradius vradius scale 0 0 1 180 270 arc tMatrix setmatrix lrx hradius sub uly vradius add translate hradius vradius scale 0 0 1 270 360 arc tMatrix setmatrix lrx hradius sub lry vradius sub translate hradius vradius scale 0 0 1 0 90 arc tMatrix setmatrix ulx hradius add lry vradius sub translate hradius vradius scale 0 0 1 90 180 arc tMatrix setmatrix closepath} bdef /FRR {MRR stroke } bdef /PRR {MRR fill } bdef /MlrRR {/lry xdef /lrx xdef /uly xdef /ulx xdef /rad lry uly sub 2 div def newpath tMatrix currentmatrix pop ulx rad add uly rad add translate rad rad scale 0 0 1 90 270 arc tMatrix setmatrix lrx rad sub lry rad sub translate rad rad scale 0 0 1 270 90 arc tMatrix setmatrix closepath} bdef /FlrRR {MlrRR stroke } bdef /PlrRR {MlrRR fill } bdef /MtbRR {/lry xdef /lrx xdef /uly xdef /ulx xdef /rad lrx ulx sub 2 div def newpath tMatrix currentmatrix pop ulx rad add uly rad add translate rad rad scale 0 0 1 180 360 arc tMatrix setmatrix lrx rad sub lry rad sub translate rad rad scale 0 0 1 0 180 arc tMatrix setmatrix closepath} bdef /FtbRR {MtbRR stroke } bdef /PtbRR {MtbRR fill } bdef /stri 6 array def /dtri 6 array def /smat 6 array def /dmat 6 array def /tmat1 6 array def /tmat2 6 array def /dif 3 array def /asub {/ind2 exch def /ind1 exch def dup dup ind1 get exch ind2 get sub exch } bdef /tri_to_matrix { 2 0 asub 3 1 asub 4 0 asub 5 1 asub dup 0 get exch 1 get 7 -1 roll astore } bdef /compute_transform { dmat dtri tri_to_matrix tmat1 invertmatrix smat stri tri_to_matrix tmat2 concatmatrix } bdef /ds {stri astore pop} bdef /dt {dtri astore pop} bdef /db {2 copy /cols xdef /rows xdef mul dup 3 mul string currentfile exch readhexstring pop dup 0 3 index getinterval /rbmap xdef dup 2 index dup getinterval /gbmap xdef 1 index dup 2 mul exch getinterval /bbmap xdef pop pop}bdef /it {gs np dtri aload pop moveto lineto lineto cp c cols rows 8 compute_transform rbmap gbmap bbmap true 3 colorimage gr}bdef /il {newpath moveto lineto stroke}bdef currentdict end def %%EndProlog %%BeginSetup MathWorks begin 0 cap end %%EndSetup %%Page: 1 1 %%BeginPageSetup %%PageBoundingBox: 65 416 289 603 MathWorks begin bpage %%EndPageSetup %%BeginObject: obj1 bplot /dpi2point 12 def portraitMode 0216 7344 csm 564 107 2695 2238 MR c np 92 dict begin %Colortable dictionary /c0 { 0 0 0 sr} bdef /c1 { 1 1 1 sr} bdef /c2 { 1 0 0 sr} bdef /c3 { 0 1 0 sr} bdef /c4 { 0 0 1 sr} bdef /c5 { 1 1 0 sr} bdef /c6 { 1 0 1 sr} bdef /c7 { 0 1 1 sr} bdef c0 1 j 1 sg 0 0 6918 5185 PR 6 w 0 1784 2262 0 0 -1784 899 2172 4 MP PP -2262 0 0 1784 2262 0 0 -1784 899 2172 5 MP stroke 4 w DO SO 6 w 0 sg 899 2172 mt 3161 2172 L 899 388 mt 3161 388 L 899 2172 mt 899 388 L 3161 2172 mt 3161 388 L 899 2172 mt 3161 2172 L 899 2172 mt 899 388 L 899 2172 mt 899 2149 L 899 389 mt 899 411 L %%IncludeResource: font Helvetica /Helvetica /ISOLatin1Encoding 120 FMSR 866 2317 mt (3) s 1653 2172 mt 1653 2149 L 1653 389 mt 1653 411 L 1620 2317 mt (4) s 2407 2172 mt 2407 2149 L 2407 389 mt 2407 411 L 2374 2317 mt (6) s 3161 2172 mt 3161 2149 L 3161 389 mt 3161 411 L 3128 2317 mt (8) s 899 2172 mt 921 2172 L 3161 2172 mt 3138 2172 L 564 2216 mt (0.975) s 899 1726 mt 921 1726 L 3161 1726 mt 3138 1726 L 631 1770 mt (0.98) s 899 1280 mt 921 1280 L 3161 1280 mt 3138 1280 L 564 1324 mt (0.985) s 899 834 mt 921 834 L 3161 834 mt 3138 834 L 631 878 mt (0.99) s 899 389 mt 921 389 L 3161 389 mt 3138 389 L 564 433 mt (0.995) s 899 2172 mt 3161 2172 L 899 388 mt 3161 388 L 899 2172 mt 899 388 L 3161 2172 mt 3161 388 L gs 899 389 2263 1784 MR c np DA 754 39 754 -11 754 128 899 1903 4 MP stroke gr DA SO 0 j 24 31 -24 31 -24 -31 24 -31 899 1934 5 MP gs PP gr DP 24 31 -24 31 -24 -31 24 -31 1653 2062 5 MP gs PP gr DP 24 31 -24 31 -24 -31 24 -31 2407 2051 5 MP gs PP gr DP 24 31 -24 31 -24 -31 24 -31 3161 2090 5 MP gs PP gr DP DA gs 899 389 2263 1784 MR c np SO 754 4 754 16 754 80 899 1974 4 MP stroke gr SO 24 31 -24 31 -24 -31 24 -31 899 2005 5 MP gs PP gr DP 24 31 -24 31 -24 -31 24 -31 1653 2085 5 MP gs PP gr DP 24 31 -24 31 -24 -31 24 -31 2407 2101 5 MP gs PP gr DP 24 31 -24 31 -24 -31 24 -31 3161 2105 5 MP gs PP gr DP gs 899 389 2263 1784 MR c np DD 754 43 754 12 754 289 899 1717 4 MP stroke gr DD SO 24 31 -24 31 -24 -31 24 -31 899 1748 5 MP gs PP gr DP 24 31 -24 31 -24 -31 24 -31 1653 2037 5 MP gs PP gr DP 24 31 -24 31 -24 -31 24 -31 2407 2049 5 MP gs PP gr DP 24 31 -24 31 -24 -31 24 -31 3161 2092 5 MP gs PP gr DP DD gs 899 389 2263 1784 MR c np DA /c8 { 0.000000 0.000000 1.000000 sr} bdef c8 754 244 754 225 754 194 899 911 4 MP stroke gr c8 DA SO 24 24 899 911 PO 24 24 1653 1105 PO 24 24 2407 1330 PO 24 24 3161 1574 PO 24 24 899 911 FO 24 24 1653 1105 FO 24 24 2407 1330 FO 24 24 3161 1574 FO DA gs 899 389 2263 1784 MR c np SO 754 192 754 255 754 131 899 646 4 MP stroke gr SO 24 24 899 646 PO 24 24 1653 777 PO 24 24 2407 1032 PO 24 24 3161 1224 PO 24 24 899 646 FO 24 24 1653 777 FO 24 24 2407 1032 FO 24 24 3161 1224 FO gs 899 389 2263 1784 MR c np DD 754 91 754 232 754 198 899 1396 4 MP stroke gr DD SO 24 24 899 1396 PO 24 24 1653 1594 PO 24 24 2407 1826 PO 24 24 3161 1917 PO 24 24 899 1396 FO 24 24 1653 1594 FO 24 24 2407 1826 FO 24 24 3161 1917 FO DD gs 899 389 2263 1784 MR c np DO /c9 { 1.000000 0.000000 0.000000 sr} bdef c9 754 5 754 129 754 267 899 1438 4 MP stroke gr c9 DO SO 0 -38 -38 0 0 38 38 0 880 1419 5 MP gs PP gr DP 0 -38 -38 0 0 38 38 0 1634 1686 5 MP gs PP gr DP 0 -38 -38 0 0 38 38 0 2388 1815 5 MP gs PP gr DP 0 -38 -38 0 0 38 38 0 3142 1820 5 MP gs PP gr DP DO gs 899 389 2263 1784 MR c np 754 0 754 0 754 0 899 2082 4 MP stroke gr 0 sg %%IncludeResource: font Helvetica /Helvetica /ISOLatin1Encoding 144 FMSR 1184 289 mt (Mixed coupling \(0.25,0.25\)) s SO end eplot %%EndObject epage end showpage %%Trailer %%EOF %%EndDocument @endspecial 832 w @beginspecial 70 @llx 416 @lly 289 @urx 603 @ury 936 @rwi @setspecial %%BeginDocument: figures/mixbound1.eps %!PS-Adobe-2.0 EPSF-1.2 %%Creator: MATLAB, The Mathworks, Inc. %%Title: /home/eecs/epxing/matlab/GMF/fig/mixbound1.eps %%CreationDate: 06/04/2003 14:10:19 %%DocumentNeededFonts: Helvetica %%DocumentProcessColors: Cyan Magenta Yellow Black %%Extensions: CMYK %%Pages: 1 %%BoundingBox: 70 416 289 603 %%EndComments %%BeginProlog % MathWorks dictionary /MathWorks 160 dict begin % definition operators /bdef {bind def} bind def /ldef {load def} bind def /xdef {exch def} bdef /xstore {exch store} bdef % operator abbreviations /c /clip ldef /cc /concat ldef /cp /closepath ldef /gr /grestore ldef /gs /gsave ldef /mt /moveto ldef /np /newpath ldef /cm /currentmatrix ldef /sm /setmatrix ldef /rm /rmoveto ldef /rl /rlineto ldef /s /show ldef /sc {setcmykcolor} bdef /sr /setrgbcolor ldef /sg /setgray ldef /w /setlinewidth ldef /j /setlinejoin ldef /cap /setlinecap ldef /rc {rectclip} bdef /rf {rectfill} bdef % page state control /pgsv () def /bpage {/pgsv save def} bdef /epage {pgsv restore} bdef /bplot /gsave ldef /eplot {stroke grestore} bdef % orientation switch /portraitMode 0 def /landscapeMode 1 def /rotateMode 2 def % coordinate system mappings /dpi2point 0 def % font control /FontSize 0 def /FMS {/FontSize xstore findfont [FontSize 0 0 FontSize neg 0 0] makefont setfont} bdef /reencode {exch dup where {pop load} {pop StandardEncoding} ifelse exch dup 3 1 roll findfont dup length dict begin { 1 index /FID ne {def}{pop pop} ifelse } forall /Encoding exch def currentdict end definefont pop} bdef /isroman {findfont /CharStrings get /Agrave known} bdef /FMSR {3 1 roll 1 index dup isroman {reencode} {pop pop} ifelse exch FMS} bdef /csm {1 dpi2point div -1 dpi2point div scale neg translate dup landscapeMode eq {pop -90 rotate} {rotateMode eq {90 rotate} if} ifelse} bdef % line types: solid, dotted, dashed, dotdash /SO { [] 0 setdash } bdef /DO { [.5 dpi2point mul 4 dpi2point mul] 0 setdash } bdef /DA { [6 dpi2point mul] 0 setdash } bdef /DD { [.5 dpi2point mul 4 dpi2point mul 6 dpi2point mul 4 dpi2point mul] 0 setdash } bdef % macros for lines and objects /L {lineto stroke} bdef /MP {3 1 roll moveto 1 sub {rlineto} repeat} bdef /AP {{rlineto} repeat} bdef /PDlw -1 def /W {/PDlw currentlinewidth def setlinewidth} def /PP {closepath eofill} bdef /DP {closepath stroke} bdef /MR {4 -2 roll moveto dup 0 exch rlineto exch 0 rlineto neg 0 exch rlineto closepath} bdef /FR {MR stroke} bdef /PR {MR fill} bdef /L1i {{currentfile picstr readhexstring pop} image} bdef /tMatrix matrix def /MakeOval {newpath tMatrix currentmatrix pop translate scale 0 0 1 0 360 arc tMatrix setmatrix} bdef /FO {MakeOval stroke} bdef /PO {MakeOval fill} bdef /PD {currentlinewidth 2 div 0 360 arc fill PDlw -1 eq not {PDlw w /PDlw -1 def} if} def /FA {newpath tMatrix currentmatrix pop translate scale 0 0 1 5 -2 roll arc tMatrix setmatrix stroke} bdef /PA {newpath tMatrix currentmatrix pop translate 0 0 moveto scale 0 0 1 5 -2 roll arc closepath tMatrix setmatrix fill} bdef /FAn {newpath tMatrix currentmatrix pop translate scale 0 0 1 5 -2 roll arcn tMatrix setmatrix stroke} bdef /PAn {newpath tMatrix currentmatrix pop translate 0 0 moveto scale 0 0 1 5 -2 roll arcn closepath tMatrix setmatrix fill} bdef /vradius 0 def /hradius 0 def /lry 0 def /lrx 0 def /uly 0 def /ulx 0 def /rad 0 def /MRR {/vradius xdef /hradius xdef /lry xdef /lrx xdef /uly xdef /ulx xdef newpath tMatrix currentmatrix pop ulx hradius add uly vradius add translate hradius vradius scale 0 0 1 180 270 arc tMatrix setmatrix lrx hradius sub uly vradius add translate hradius vradius scale 0 0 1 270 360 arc tMatrix setmatrix lrx hradius sub lry vradius sub translate hradius vradius scale 0 0 1 0 90 arc tMatrix setmatrix ulx hradius add lry vradius sub translate hradius vradius scale 0 0 1 90 180 arc tMatrix setmatrix closepath} bdef /FRR {MRR stroke } bdef /PRR {MRR fill } bdef /MlrRR {/lry xdef /lrx xdef /uly xdef /ulx xdef /rad lry uly sub 2 div def newpath tMatrix currentmatrix pop ulx rad add uly rad add translate rad rad scale 0 0 1 90 270 arc tMatrix setmatrix lrx rad sub lry rad sub translate rad rad scale 0 0 1 270 90 arc tMatrix setmatrix closepath} bdef /FlrRR {MlrRR stroke } bdef /PlrRR {MlrRR fill } bdef /MtbRR {/lry xdef /lrx xdef /uly xdef /ulx xdef /rad lrx ulx sub 2 div def newpath tMatrix currentmatrix pop ulx rad add uly rad add translate rad rad scale 0 0 1 180 360 arc tMatrix setmatrix lrx rad sub lry rad sub translate rad rad scale 0 0 1 0 180 arc tMatrix setmatrix closepath} bdef /FtbRR {MtbRR stroke } bdef /PtbRR {MtbRR fill } bdef /stri 6 array def /dtri 6 array def /smat 6 array def /dmat 6 array def /tmat1 6 array def /tmat2 6 array def /dif 3 array def /asub {/ind2 exch def /ind1 exch def dup dup ind1 get exch ind2 get sub exch } bdef /tri_to_matrix { 2 0 asub 3 1 asub 4 0 asub 5 1 asub dup 0 get exch 1 get 7 -1 roll astore } bdef /compute_transform { dmat dtri tri_to_matrix tmat1 invertmatrix smat stri tri_to_matrix tmat2 concatmatrix } bdef /ds {stri astore pop} bdef /dt {dtri astore pop} bdef /db {2 copy /cols xdef /rows xdef mul dup 3 mul string currentfile exch readhexstring pop dup 0 3 index getinterval /rbmap xdef dup 2 index dup getinterval /gbmap xdef 1 index dup 2 mul exch getinterval /bbmap xdef pop pop}bdef /it {gs np dtri aload pop moveto lineto lineto cp c cols rows 8 compute_transform rbmap gbmap bbmap true 3 colorimage gr}bdef /il {newpath moveto lineto stroke}bdef currentdict end def %%EndProlog %%BeginSetup MathWorks begin 0 cap end %%EndSetup %%Page: 1 1 %%BeginPageSetup %%PageBoundingBox: 70 416 289 603 MathWorks begin bpage %%EndPageSetup %%BeginObject: obj1 bplot /dpi2point 12 def portraitMode 0216 7344 csm 631 107 2628 2238 MR c np 92 dict begin %Colortable dictionary /c0 { 0 0 0 sr} bdef /c1 { 1 1 1 sr} bdef /c2 { 1 0 0 sr} bdef /c3 { 0 1 0 sr} bdef /c4 { 0 0 1 sr} bdef /c5 { 1 1 0 sr} bdef /c6 { 1 0 1 sr} bdef /c7 { 0 1 1 sr} bdef c0 1 j 1 sg 0 0 6917 5185 PR 6 w 0 1783 2262 0 0 -1783 899 2172 4 MP PP -2262 0 0 1783 2262 0 0 -1783 899 2172 5 MP stroke 4 w DO SO 6 w 0 sg 899 2172 mt 3161 2172 L 899 389 mt 3161 389 L 899 2172 mt 899 389 L 3161 2172 mt 3161 389 L 899 2172 mt 3161 2172 L 899 2172 mt 899 389 L 899 2172 mt 899 2149 L 899 389 mt 899 411 L %%IncludeResource: font Helvetica /Helvetica /ISOLatin1Encoding 120 FMSR 866 2317 mt (3) s 1653 2172 mt 1653 2149 L 1653 389 mt 1653 411 L 1620 2317 mt (4) s 2407 2172 mt 2407 2149 L 2407 389 mt 2407 411 L 2374 2317 mt (6) s 3161 2172 mt 3161 2149 L 3161 389 mt 3161 411 L 3128 2317 mt (8) s 899 1917 mt 921 1917 L 3161 1917 mt 3138 1917 L 631 1961 mt (0.92) s 899 1407 mt 921 1407 L 3161 1407 mt 3138 1407 L 631 1451 mt (0.94) s 899 898 mt 921 898 L 3161 898 mt 3138 898 L 631 942 mt (0.96) s 899 389 mt 921 389 L 3161 389 mt 3138 389 L 631 433 mt (0.98) s 899 2172 mt 3161 2172 L 899 389 mt 3161 389 L 899 2172 mt 899 389 L 3161 2172 mt 3161 389 L gs 899 389 2263 1784 MR c np DA 754 32 754 -2 754 106 899 1839 4 MP stroke gr DA SO 0 j 24 31 -24 31 -24 -31 24 -31 899 1870 5 MP gs PP gr DP 24 31 -24 31 -24 -31 24 -31 1653 1976 5 MP gs PP gr DP 24 31 -24 31 -24 -31 24 -31 2407 1974 5 MP gs PP gr DP 24 31 -24 31 -24 -31 24 -31 3161 2006 5 MP gs PP gr DP DA gs 899 389 2263 1784 MR c np SO 754 8 754 14 754 66 899 1899 4 MP stroke gr SO 24 31 -24 31 -24 -31 24 -31 899 1930 5 MP gs PP gr DP 24 31 -24 31 -24 -31 24 -31 1653 1996 5 MP gs PP gr DP 24 31 -24 31 -24 -31 24 -31 2407 2010 5 MP gs PP gr DP 24 31 -24 31 -24 -31 24 -31 3161 2018 5 MP gs PP gr DP gs 899 389 2263 1784 MR c np DD 754 35 754 16 754 258 899 1663 4 MP stroke gr DD SO 24 31 -24 31 -24 -31 24 -31 899 1694 5 MP gs PP gr DP 24 31 -24 31 -24 -31 24 -31 1653 1952 5 MP gs PP gr DP 24 31 -24 31 -24 -31 24 -31 2407 1968 5 MP gs PP gr DP 24 31 -24 31 -24 -31 24 -31 3161 2003 5 MP gs PP gr DP DD gs 899 389 2263 1784 MR c np DA /c8 { 0.000000 0.000000 1.000000 sr} bdef c8 754 236 754 225 754 198 899 871 4 MP stroke gr c8 DA SO 24 24 899 871 PO 24 24 1653 1069 PO 24 24 2407 1294 PO 24 24 3161 1530 PO 24 24 899 871 FO 24 24 1653 1069 FO 24 24 2407 1294 FO 24 24 3161 1530 FO DA gs 899 389 2263 1784 MR c np SO 754 198 754 257 754 148 899 592 4 MP stroke gr SO 24 24 899 592 PO 24 24 1653 740 PO 24 24 2407 997 PO 24 24 3161 1195 PO 24 24 899 592 FO 24 24 1653 740 FO 24 24 2407 997 FO 24 24 3161 1195 FO gs 899 389 2263 1784 MR c np DD 754 87 754 213 754 193 899 1356 4 MP stroke gr DD SO 24 24 899 1356 PO 24 24 1653 1549 PO 24 24 2407 1762 PO 24 24 3161 1849 PO 24 24 899 1356 FO 24 24 1653 1549 FO 24 24 2407 1762 FO 24 24 3161 1849 FO DD gs 899 389 2263 1784 MR c np DO /c9 { 1.000000 0.000000 0.000000 sr} bdef c9 754 5 754 122 754 247 899 1401 4 MP stroke gr c9 DO SO 0 -38 -38 0 0 38 38 0 880 1382 5 MP gs PP gr DP 0 -38 -38 0 0 38 38 0 1634 1629 5 MP gs PP gr DP 0 -38 -38 0 0 38 38 0 2388 1751 5 MP gs PP gr DP 0 -38 -38 0 0 38 38 0 3142 1756 5 MP gs PP gr DP DO gs 899 389 2263 1784 MR c np 754 0 754 0 754 0 899 1990 4 MP stroke gr 0 sg %%IncludeResource: font Helvetica /Helvetica /ISOLatin1Encoding 144 FMSR 1224 289 mt (Mixed coupling \(0.25,0.5\)) s SO end eplot %%EndObject epage end showpage %%Trailer %%EOF %%EndDocument @endspecial 833 w @beginspecial 70 @llx 416 @lly 289 @urx 603 @ury 936 @rwi @setspecial %%BeginDocument: figures/mixbound3.eps %!PS-Adobe-2.0 EPSF-1.2 %%Creator: MATLAB, The Mathworks, Inc. %%Title: /home/eecs/epxing/matlab/GMF/mixbound3.eps %%CreationDate: 06/02/2003 00:05:22 %%DocumentNeededFonts: Helvetica %%DocumentProcessColors: Cyan Magenta Yellow Black %%Extensions: CMYK %%Pages: 1 %%BoundingBox: 70 416 289 603 %%EndComments %%BeginProlog % MathWorks dictionary /MathWorks 160 dict begin % definition operators /bdef {bind def} bind def /ldef {load def} bind def /xdef {exch def} bdef /xstore {exch store} bdef % operator abbreviations /c /clip ldef /cc /concat ldef /cp /closepath ldef /gr /grestore ldef /gs /gsave ldef /mt /moveto ldef /np /newpath ldef /cm /currentmatrix ldef /sm /setmatrix ldef /rm /rmoveto ldef /rl /rlineto ldef /s /show ldef /sc {setcmykcolor} bdef /sr /setrgbcolor ldef /sg /setgray ldef /w /setlinewidth ldef /j /setlinejoin ldef /cap /setlinecap ldef /rc {rectclip} bdef /rf {rectfill} bdef % page state control /pgsv () def /bpage {/pgsv save def} bdef /epage {pgsv restore} bdef /bplot /gsave ldef /eplot {stroke grestore} bdef % orientation switch /portraitMode 0 def /landscapeMode 1 def /rotateMode 2 def % coordinate system mappings /dpi2point 0 def % font control /FontSize 0 def /FMS {/FontSize xstore findfont [FontSize 0 0 FontSize neg 0 0] makefont setfont} bdef /reencode {exch dup where {pop load} {pop StandardEncoding} ifelse exch dup 3 1 roll findfont dup length dict begin { 1 index /FID ne {def}{pop pop} ifelse } forall /Encoding exch def currentdict end definefont pop} bdef /isroman {findfont /CharStrings get /Agrave known} bdef /FMSR {3 1 roll 1 index dup isroman {reencode} {pop pop} ifelse exch FMS} bdef /csm {1 dpi2point div -1 dpi2point div scale neg translate dup landscapeMode eq {pop -90 rotate} {rotateMode eq {90 rotate} if} ifelse} bdef % line types: solid, dotted, dashed, dotdash /SO { [] 0 setdash } bdef /DO { [.5 dpi2point mul 4 dpi2point mul] 0 setdash } bdef /DA { [6 dpi2point mul] 0 setdash } bdef /DD { [.5 dpi2point mul 4 dpi2point mul 6 dpi2point mul 4 dpi2point mul] 0 setdash } bdef % macros for lines and objects /L {lineto stroke} bdef /MP {3 1 roll moveto 1 sub {rlineto} repeat} bdef /AP {{rlineto} repeat} bdef /PDlw -1 def /W {/PDlw currentlinewidth def setlinewidth} def /PP {closepath eofill} bdef /DP {closepath stroke} bdef /MR {4 -2 roll moveto dup 0 exch rlineto exch 0 rlineto neg 0 exch rlineto closepath} bdef /FR {MR stroke} bdef /PR {MR fill} bdef /L1i {{currentfile picstr readhexstring pop} image} bdef /tMatrix matrix def /MakeOval {newpath tMatrix currentmatrix pop translate scale 0 0 1 0 360 arc tMatrix setmatrix} bdef /FO {MakeOval stroke} bdef /PO {MakeOval fill} bdef /PD {currentlinewidth 2 div 0 360 arc fill PDlw -1 eq not {PDlw w /PDlw -1 def} if} def /FA {newpath tMatrix currentmatrix pop translate scale 0 0 1 5 -2 roll arc tMatrix setmatrix stroke} bdef /PA {newpath tMatrix currentmatrix pop translate 0 0 moveto scale 0 0 1 5 -2 roll arc closepath tMatrix setmatrix fill} bdef /FAn {newpath tMatrix currentmatrix pop translate scale 0 0 1 5 -2 roll arcn tMatrix setmatrix stroke} bdef /PAn {newpath tMatrix currentmatrix pop translate 0 0 moveto scale 0 0 1 5 -2 roll arcn closepath tMatrix setmatrix fill} bdef /vradius 0 def /hradius 0 def /lry 0 def /lrx 0 def /uly 0 def /ulx 0 def /rad 0 def /MRR {/vradius xdef /hradius xdef /lry xdef /lrx xdef /uly xdef /ulx xdef newpath tMatrix currentmatrix pop ulx hradius add uly vradius add translate hradius vradius scale 0 0 1 180 270 arc tMatrix setmatrix lrx hradius sub uly vradius add translate hradius vradius scale 0 0 1 270 360 arc tMatrix setmatrix lrx hradius sub lry vradius sub translate hradius vradius scale 0 0 1 0 90 arc tMatrix setmatrix ulx hradius add lry vradius sub translate hradius vradius scale 0 0 1 90 180 arc tMatrix setmatrix closepath} bdef /FRR {MRR stroke } bdef /PRR {MRR fill } bdef /MlrRR {/lry xdef /lrx xdef /uly xdef /ulx xdef /rad lry uly sub 2 div def newpath tMatrix currentmatrix pop ulx rad add uly rad add translate rad rad scale 0 0 1 90 270 arc tMatrix setmatrix lrx rad sub lry rad sub translate rad rad scale 0 0 1 270 90 arc tMatrix setmatrix closepath} bdef /FlrRR {MlrRR stroke } bdef /PlrRR {MlrRR fill } bdef /MtbRR {/lry xdef /lrx xdef /uly xdef /ulx xdef /rad lrx ulx sub 2 div def newpath tMatrix currentmatrix pop ulx rad add uly rad add translate rad rad scale 0 0 1 180 360 arc tMatrix setmatrix lrx rad sub lry rad sub translate rad rad scale 0 0 1 0 180 arc tMatrix setmatrix closepath} bdef /FtbRR {MtbRR stroke } bdef /PtbRR {MtbRR fill } bdef /stri 6 array def /dtri 6 array def /smat 6 array def /dmat 6 array def /tmat1 6 array def /tmat2 6 array def /dif 3 array def /asub {/ind2 exch def /ind1 exch def dup dup ind1 get exch ind2 get sub exch } bdef /tri_to_matrix { 2 0 asub 3 1 asub 4 0 asub 5 1 asub dup 0 get exch 1 get 7 -1 roll astore } bdef /compute_transform { dmat dtri tri_to_matrix tmat1 invertmatrix smat stri tri_to_matrix tmat2 concatmatrix } bdef /ds {stri astore pop} bdef /dt {dtri astore pop} bdef /db {2 copy /cols xdef /rows xdef mul dup 3 mul string currentfile exch readhexstring pop dup 0 3 index getinterval /rbmap xdef dup 2 index dup getinterval /gbmap xdef 1 index dup 2 mul exch getinterval /bbmap xdef pop pop}bdef /it {gs np dtri aload pop moveto lineto lineto cp c cols rows 8 compute_transform rbmap gbmap bbmap true 3 colorimage gr}bdef /il {newpath moveto lineto stroke}bdef currentdict end def %%EndProlog %%BeginSetup MathWorks begin 0 cap end %%EndSetup %%Page: 1 1 %%BeginPageSetup %%PageBoundingBox: 70 416 289 603 MathWorks begin bpage %%EndPageSetup %%BeginObject: obj1 bplot 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1280 L 631 1324 mt (0.93) s 899 388 mt 921 388 L 3161 388 mt 3138 388 L 631 432 mt (0.96) s 899 2171 mt 3161 2171 L 899 388 mt 3161 388 L 899 2171 mt 899 388 L 3161 2171 mt 3161 388 L %%IncludeResource: font Helvetica /Helvetica /ISOLatin1Encoding 144 FMSR 1284 288 mt (Mixed coupling \(0.25,1\)) s gs 899 388 2263 1784 MR c np DA 754 -6 754 15 754 58 899 1923 4 MP stroke gr DA SO 0 j 24 31 -24 31 -24 -31 24 -31 899 1954 5 MP gs PP gr DP 24 31 -24 31 -24 -31 24 -31 1653 2012 5 MP gs PP gr DP 24 31 -24 31 -24 -31 24 -31 2407 2027 5 MP gs PP gr DP 24 31 -24 31 -24 -31 24 -31 3161 2021 5 MP gs PP gr DP DA gs 899 388 2263 1784 MR c np SO 754 -5 754 2 754 35 899 1958 4 MP stroke gr SO 24 31 -24 31 -24 -31 24 -31 899 1989 5 MP gs PP gr DP 24 31 -24 31 -24 -31 24 -31 1653 2024 5 MP gs PP gr DP 24 31 -24 31 -24 -31 24 -31 2407 2026 5 MP gs PP gr DP 24 31 -24 31 -24 -31 24 -31 3161 2021 5 MP gs PP gr DP gs 899 388 2263 1784 MR c np DD 754 23 754 -40 754 256 899 1749 4 MP stroke gr DD SO 24 31 -24 31 -24 -31 24 -31 899 1780 5 MP gs PP gr DP 24 31 -24 31 -24 -31 24 -31 1653 2036 5 MP gs PP gr DP 24 31 -24 31 -24 -31 24 -31 2407 1996 5 MP gs PP gr DP 24 31 -24 31 -24 -31 24 -31 3161 2019 5 MP gs PP gr DP DD gs 899 388 2263 1784 MR c np DA /c8 { 0.000000 0.000000 1.000000 sr} bdef c8 754 223 754 246 754 77 899 1105 4 MP stroke gr c8 DA SO 24 24 899 1105 PO 24 24 1653 1182 PO 24 24 2407 1428 PO 24 24 3161 1651 PO 24 24 899 1105 FO 24 24 1653 1182 FO 24 24 2407 1428 FO 24 24 3161 1651 FO DA gs 899 388 2263 1784 MR c np SO 754 226 754 180 754 364 899 644 4 MP stroke gr SO 24 24 899 644 PO 24 24 1653 1008 PO 24 24 2407 1188 PO 24 24 3161 1414 PO 24 24 899 644 FO 24 24 1653 1008 FO 24 24 2407 1188 FO 24 24 3161 1414 FO gs 899 388 2263 1784 MR c np DD 754 -6 754 216 754 175 899 1511 4 MP stroke gr DD SO 24 24 899 1511 PO 24 24 1653 1686 PO 24 24 2407 1902 PO 24 24 3161 1896 PO 24 24 899 1511 FO 24 24 1653 1686 FO 24 24 2407 1902 FO 24 24 3161 1896 FO DD gs 899 388 2263 1784 MR c np DO 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y(lo)r(cal)j(computation.)62 b(It)37 b(is)f(p)r(ossible)g(to)g(use)g(a)g(algorithm)2130 5529 y(that)g(iterates)f(b)r(et)n(w)n(een)g(GMF)i(\(to)e(up)r(date)h (the)h(marginal)p eop end %%Page: 8 8 TeXDict begin 8 7 bop 30 83 a Fx(q)s FA(\()p Fw(\001)p FA(\)\))29 b(and)e(GP)g(\(to)h(up)r(date)g(the)g(partition\).)30 232 y(Another)37 b(p)r(ossible)g(extension)g(is)g(to)g(replace)f(the)i (disjoin)n(t)30 332 y(clustering)18 b(with)h(the)g Fy(tr)l(e)l(e-c)l (onne)l(cte)l(d)h(clustering)p FA(.)34 b(The)19 b(term)30 432 y Fx(W)39 b FA(in)27 b(the)h(GMF)f(b)r(ound)h(can)f(b)r(e)g(also)f (view)n(ed)h(as)f(the)h(total)30 531 y(w)n(eigh)n(t)38 b(of)g(the)h(disrupted)g(cliques)f(\(with)h(resp)r(ect)f(to)h(the)30 631 y(original)i(graph\))h(in)g(the)h(subgraph)f(underlying)f(a)i(GMF) 30 731 y(appro)n(ximation.)61 b(Th)n(us,)38 b(w)n(e)e(ma)n(y)g(further) g(reduce)g Fx(W)48 b FA(b)n(y)30 830 y(departing)39 b(from)g(the)h (completely)f(disjoin)n(t)g(clustering)g(to)30 930 y(tree-connected)f 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y(teed)k(to)g(con)n(v)n(erge)e(and)i(yield)g(a)g(set)g(of)g (globally)f(consisten)n(t)30 2125 y(appro)n(ximate)f(cluster)h (marginals.)30 2356 y Fz(References)30 2519 y FA(A.)d(F)-7 b(rieze)24 b(and)g(M.)g(Jerrum.)30 b(Impro)n(v)n(ed)23 b(appro)n(ximation)f(al-)113 2619 y(gorithms)27 b(for)h(MAX)g(k-CUT)g (and)g(MAX)h(BISECTION.)113 2718 y(In)43 b Fy(Inte)l(ger)h(Pr)l(o)l(gr) l(amming)h(and)f(Combinatorial)j(Opti-)113 2818 y(mization)p FA(.)29 b(Springer,)d(1995.)30 2966 y(Z.)38 b(Ghahramani)g(and)g(M.)g (I.)h(Jordan.)67 b(F)-7 b(actorial)38 b(hidden)113 3066 y(mark)n(o)n(v)48 b(mo)r(dels.)102 b Fy(Machine)52 b(L)l(e)l(arning)p FA(,)j(29:245{273,)113 3166 y(1997.)30 3314 y(M.)30 b(X.)f(Go)r(emans)g (and)h(D.)g(P)-7 b(.)29 b(Williamson.)42 b(Impro)n(v)n(ed)28 b(ap-)113 3414 y(pro)n(ximation)23 b(algorithms)g(for)h(maxim)n(um)g (cut)h(and)f(satis-)113 3513 y(\014abilit)n(y)34 b(problems)f(using)g (semide\014nite)h(programming.)113 3613 y Fy(JA)n(CM)p FA(,)28 b(42:1115{1145,)22 b(1995.)30 3761 y(M.)42 b(I.)h(Jordan,)h(Z.) e(Ghahramani,)j(T.)d(S.)g(Jaakk)n(ola,)h(and)113 3861 y(L.)28 b(K.)f(Saul.)36 b(An)28 b(in)n(tro)r(duction)f(to)h(v)-5 b(ariational)26 b(metho)r(ds)113 3960 y(for)c(graphical)f(mo)r(dels.)28 b(In)22 b(M.)h(I.)f(Jordan,)g(editor,)h Fy(L)l(e)l(arn-)113 4060 y(ing)45 b(in)g(Gr)l(aphic)l(al)i(Mo)l(dels)p FA(.)e(MIT)f(Press,) i(Cam)n(bridge,)113 4160 y(1999.)30 4308 y(S.)21 b(E.)g(Karisc)n(h)e (and)h(F.)h(Rendl.)27 b(Semide\014nite)21 b(programming)113 4408 y(and)31 b(graph)f(equipartition.)47 b(In)31 b Fy(T)-6 b(opics)34 b(in)g(Semide\014nite)113 4507 y(and)j(Interior-Point)g (Metho)l(ds)p FA(,)h(v)n(olume)d(18,)h(pages)d(77{)113 4607 y(95.)27 b(AMS,)h(1998.)30 4755 y(F.)34 b(Rendl)h(and)f(H.)h(W)-7 b(olk)n(o)n(wicz.)54 b(A)35 b(pro)5 b(jection)33 b(tec)n(hnique)113 4855 y(for)40 b(partitioning)g(the)g(no)r(des)h(of)f(a)g(graph.)74 b Fy(A)n(nnals)41 b(of)113 4954 y(Op)l(er)l(ations)30 b(R)l(ese)l(ar)l(ch)p FA(,)e(58:155{180,)23 b(1995.)30 5103 y(J.)i(F.)h(Sturm.)33 b(Using)25 b(SeDuMi)i(1.02,)d(a)h(MA)-7 b(TLAB)26 b(to)r(olb)r(o)n(x)113 5202 y(for)18 b(optimization)g(o)n(v)n (er)f(symmetric)h(cones.)j Fy(Optimization)113 5302 y(Metho)l(ds)31 b(and)f(Softwar)l(e)p FA(,)f(11{12:625{653,)22 b(1999.)30 5450 y(L.)27 b(V)-7 b(anden)n(b)r(erghe)27 b(and)g(S.)h(Bo)n(yd.)35 b(Semide\014nite)28 b(program-)113 5550 y(ming.)37 b Fy(SIAM)29 b(R)l(eview)p FA(,)g(38\(1\):49{95,)24 b(1996.)2130 83 y(W.)35 b(Wiegerinc)n(k.)57 b(V)-7 b(ariational)33 b(appro)n(ximations)f(b)r(et)n(w)n(een)2213 183 y(mean)g(\014eld)h (theory)f(and)h(the)g(junction)g(tree)f(algorithm.)2213 282 y(In)c Fy(UAI)p FA(,)f(2000.)2130 431 y(E.)32 b(P)-7 b(.)32 b(Xing,)i(M.)f(I.)f(Jordan,)g(and)g(S.)h(Russell.)51 b(A)33 b(general-)2213 530 y(ized)22 b(mean)f(\014eld)h(algorithm)f (for)g(v)-5 b(ariational)20 b(inference)i(in)2213 630 y(exp)r(onen)n(tial)27 b(families.)37 b(In)28 b Fy(UAI)p FA(,)f(2003.)2130 779 y(J.)e(S.)h(Y)-7 b(edidia,)26 b(W.)g(T.)g(F)-7 b(reeman,)25 b(and)h(Y.)g(W)-7 b(eiss.)33 b(General-)2213 878 y(ized)28 b(b)r(elief)g(propagation.)35 b(In)28 b Fy(NIPS)p FA(,)f(2000.)2130 1215 y Fz(A)112 b(Pro)s(of)37 b(of)h(the)f(GMF)h(b)s(ound)h(theorem)2130 1428 y FB(Pro)s(of.)2130 1577 y FA(According)21 b(to)i(the)g(GMF)f(theorem,)i(the)e(GMF)h(appro) n(xima-)2130 1677 y(tion)28 b(to)f Fx(p)p FA(\()p FB(X)p FA(\))h(is)2130 1873 y Fn(q)s Fi(\()p Fc(X)p Fi(\))82 b(=)2519 1802 y Fj(Y)2557 1960 y Fk(i)2630 1873 y Fn(q)s Fi(\()p Fc(X)2764 1881 y Fk(C)2808 1892 y Fs(i)2838 1873 y Fi(\))2094 2098 y(=)2209 2049 y(1)p 2185 2081 87 4 v 2185 2148 a Fn(Z)2237 2156 y Fk(q)2294 2098 y Fi(exp)2425 2015 y Fj(n)2489 2027 y(X)2533 2184 y Fk(i)2626 2027 y Fj(X)2577 2186 y Fk(D)2627 2194 y Fs(\013)2669 2186 y Fe(\022)p Fk(C)2761 2197 y Fs(i)2764 2098 y Fn(\022)2800 2106 y Fk(\013)2844 2098 y Fn(\036)2890 2106 y Fk(\013)2934 2098 y Fi(\()p Fc(X)3031 2106 y Fs(D)3077 2114 y(\013)3123 2098 y Fi(\))17 b(+)3247 2027 y Fj(X)3291 2184 y Fk(i)3384 2027 y Fj(X)3335 2186 y Fk(D)3385 2198 y Fs(\014)3424 2186 y Fe(\022)p Fk(B)3518 2197 y Fs(i)3522 2098 y Fn(\022)3558 2107 y Fk(\014)3599 2098 y Fn(\036)3645 2062 y Fe(0)3645 2111 y Fk(\014)3687 2098 y Fi(\()p Fc(X)3784 2106 y Fs(D)3830 2121 y(\014)3868 2106 y Fp(\\)p Fs(C)3948 2119 y(i)3979 2098 y Fi(\))4009 2015 y Fj(o)2094 2344 y Fi(=)2209 2296 y(1)p 2185 2327 V 2185 2395 a Fn(Z)2237 2403 y Fk(q)2294 2344 y Fi(exp)2425 2261 y Fj(n)2489 2273 y(X)2524 2430 y Fk(\013)2612 2344 y Fn(\022)2648 2352 y Fk(\013)2692 2344 y Fn(\036)2738 2352 y Fk(\013)2782 2344 y Fi(\()p Fc(X)2879 2352 y Fs(D)2925 2360 y(\013)2971 2344 y Fi(\))2519 2558 y Fl(\000)2614 2487 y Fj(X)2545 2646 y Fk(D)2595 2658 y Fs(\014)2633 2646 y Fe(\022[)p Fk(B)2769 2657 y Fs(i)2773 2558 y Fn(\022)2809 2567 y Fk(\014)2850 2558 y Fn(\036)2896 2567 y Fk(\014)2937 2558 y Fi(\()p Fc(X)3034 2566 y Fs(D)3080 2581 y(\014)3123 2558 y Fi(\))g(+)3270 2487 y Fj(X)3200 2646 y Fk(D)3250 2658 y Fs(\014)3288 2646 y Fe(\022[)p Fk(B)3424 2657 y Fs(i)3428 2558 y Fn(k)3468 2567 y Fk(\014)3509 2558 y Fn(\022)3545 2567 y Fk(\014)3587 2558 y Fn(\036)3633 2522 y Fe(0)3633 2571 y Fk(\014)3674 2558 y Fi(\()p Fc(X)3771 2566 y Fs(D)3817 2581 y(\014)3856 2566 y Fp(\\)p Fs(C)3936 2579 y(i)3967 2558 y Fi(\))3997 2475 y Fj(o)1976 2804 y Fi(=)2091 2756 y(1)p 2067 2787 V 2067 2855 a Fn(Z)2119 2863 y Fk(q)2176 2804 y Fi(exp)2306 2721 y Fj(n)2347 2733 y(X)2382 2890 y Fk(\013)2471 2804 y Fn(\022)2507 2812 y Fk(\013)2551 2804 y Fn(\036)2597 2812 y Fk(\013)2641 2804 y Fi(\()p Fc(X)2738 2812 y Fs(D)2784 2820 y(\013)2830 2804 y Fi(\))f(+)2952 2733 y Fj(X)2882 2893 y Fk(D)2932 2905 y Fs(\014)2971 2893 y Fe(\022[)p Fk(B)3107 2904 y Fs(i)3075 2804 y Fn(\022)3111 2813 y Fk(\014)3153 2744 y Fj(\000)3188 2804 y Fn(k)3228 2813 y Fk(\014)3269 2804 y Fn(\036)3315 2768 y Fe(0)3315 2817 y Fk(\014)3356 2804 y Fi(\()p Fc(X)3453 2812 y Fs(D)3499 2827 y(\014)3538 2812 y Fp(\\)p Fs(C)3618 2825 y(i)3649 2804 y Fi(\))5 b Fl(\000)g Fn(\036)3795 2813 y Fk(\014)3836 2804 y Fi(\()p Fc(X)3933 2812 y Fs(D)3979 2827 y(\014)4022 2804 y Fi(\))4052 2744 y Fj(\001)4064 2721 y(o)4115 2804 y Fn(;)4051 2939 y Fi(\(7\))2130 3119 y FA(where)28 b Fx(k)2414 3131 y Fu(\014)2485 3119 y FA(=)d Fw(j)p Fx(I)2634 3131 y Fu(\014)2679 3119 y Fw(j)k FA(is)g(the)g(n)n(um)n(b)r(er)g(of)g (clusters)f(in)n(tersecting)2130 3218 y(with)38 b(clique)g Fx(\014)k FA(\(note)c(that)g(for)g(simplicit)n(y)-7 b(,)40 b(w)n(e)e(omit)g(the)2130 3318 y(argumen)n(t)31 b Fx(q)2543 3330 y Fu(I)2572 3339 y Fs(\014)r(i)2670 3318 y FA(in)i(the)f(p)r (eripheral)f(marginal)g(p)r(oten)n(tials\).)2130 3418 y(Th)n(us,)c(the)h(KL)g(div)n(ergence)e(b)r(et)n(w)n(een)h Fx(q)k FA(and)c Fx(p)h FA(is:)2146 3644 y Fi(KL\()p Fn(q)s Fl(k)p Fn(p)p Fi(\))83 b(=)2653 3542 y Fj(Z)2696 3712 y Fb(x)2750 3644 y Fn(q)s Fi(\()p Fc(x)p Fi(\))12 b(log)3028 3595 y Fn(q)s Fi(\()p Fc(x)p Fi(\))p 3028 3627 145 4 v 3028 3695 a Fn(p)p Fi(\()p Fc(x)p Fi(\))3183 3644 y Fn(d)p Fc(x)2134 3846 y Fi(=)2285 3775 y Fj(X)2215 3934 y Fk(D)2265 3946 y Fs(\014)2304 3934 y Fe(\022[)p Fk(B)2440 3945 y Fs(i)2478 3846 y Fn(\022)2514 3855 y Fk(\014)2556 3763 y Fj(\020)2602 3846 y Fn(k)2642 3855 y Fk(\014)2683 3785 y Fj(\012)2719 3846 y Fn(\036)2765 3810 y Fe(0)2765 3859 y Fk(\014)2807 3846 y Fi(\()p Fc(X)2904 3854 y Fs(D)2950 3869 y(\014)2988 3854 y Fp(\\)p Fs(C)3068 3867 y(i)3099 3846 y Fi(\))3129 3785 y Fj(\013)3166 3881 y Fk(q)3217 3846 y Fl(\000)3294 3785 y Fj(\012)3330 3846 y Fn(\036)3376 3855 y Fk(\014)3417 3846 y Fi(\()p Fc(X)3514 3854 y Fs(D)3560 3869 y(\014)3603 3846 y Fi(\))3633 3785 y Fj(\013)3669 3881 y Fk(q)3704 3763 y Fj(\021)3767 3846 y Fl(\000)k Fi(log)3966 3797 y Fn(Z)4018 3805 y Fk(q)p 3965 3829 89 4 v 3965 3896 a Fn(Z)4017 3904 y Fk(p)2134 4074 y Fi(=)2285 4003 y Fj(X)2215 4163 y Fk(D)2265 4175 y Fs(\014)2304 4163 y Fe(\022[)p Fk(B)2440 4174 y Fs(i)2478 4074 y Fn(\022)2514 4083 y Fk(\014)2556 4074 y Fi(\()p Fn(k)2626 4083 y Fk(\014)2684 4074 y Fl(\000)h Fi(1\))2829 4014 y Fj(\012)2866 4074 y Fn(\036)2912 4083 y Fk(\014)2953 4074 y Fi(\()p Fc(X)3050 4082 y Fs(D)3096 4097 y(\014)3139 4074 y Fi(\))3169 4014 y Fj(\013)3205 4109 y Fk(q)3256 4074 y Fl(\000)g Fi(log)e Fn(Z)3497 4082 y Fk(q)3549 4074 y Fi(+)i(log)d Fn(Z)3789 4082 y Fk(p)3826 4074 y Fn(:)135 b Fi(\(8\))2130 4447 y FA(No)n(w,)93 b(let)80 b Fx(\036)2629 4459 y Fs(\014)r(;)p Ff(max)2902 4447 y FA(=)110 b(max)3231 4459 y Fa(x)3289 4447 y Fx(\036)3338 4459 y Fu(\014)3383 4447 y FA(\()p FB(x)3465 4459 y Fs(D)3511 4474 y(\014)3555 4447 y FA(\),)94 b Fx(\036)3753 4459 y Fs(\014)r(;)p Ff(min)4015 4447 y FA(=)2130 4547 y(min)2268 4559 y Fa(x)2326 4547 y Fx(\036)2375 4559 y Fu(\014)2420 4547 y FA(\()p FB(x)2502 4559 y Fs(D)2548 4574 y(\014)2592 4547 y FA(\),)25 b(w)n(e)f(ha)n(v)n(e,)f Fx(\036)3051 4559 y Fs(\014)r(;)p Ff(min)3226 4547 y Fw(\024)g(h)p Fx(\036)3395 4559 y Fu(\014)3440 4547 y FA(\()p FB(X)3544 4559 y Fs(D)3590 4574 y(\014)3634 4547 y FA(\))p Fw(i)3698 4586 y Fu(q)3758 4547 y Fw(\024)g Fx(\036)3895 4559 y Fs(\014)r(;)p Ff(max)4057 4547 y FA(.)2130 4668 y(De\014ne)53 b Fx(a)2456 4680 y Fu(\036)2566 4668 y FA(=)64 b(min)2834 4680 y Fs(D)2880 4695 y(\014)2919 4680 y Fp(\022[)p Fs(B)3046 4693 y(i)3077 4668 y FA(\()p Fx(k)3152 4680 y Fs(\014)3227 4668 y Fw(\000)35 b FA(1\))p Fx(\036)3450 4680 y Fs(\014)r(;)p Ff(min)3601 4668 y FA(,)60 b(and)52 b Fx(b)3906 4680 y Fu(\036)4015 4668 y FA(=)2130 4767 y(max)2285 4779 y Fs(D)2331 4794 y(\014)2370 4779 y Fp(\022[)p Fs(B)2497 4792 y(i)2527 4767 y FA(\()p Fx(k)2602 4779 y Fs(\014)2647 4767 y Fw(\000)5 b FA(1\))p Fx(\036)2840 4779 y Fs(\014)r(;)p Ff(max)3001 4767 y FA(,)23 b(then)e(\(since)g(all)g(the)g Fx(\022)r FA(s)g(are)f(p)r(os-) 2130 4867 y(itiv)n(e)27 b(b)n(y)h(de\014nition\),)2103 5082 y Fx(a)2147 5094 y Fu(\036)2231 5003 y Ft(X)2158 5181 y Fu(D)2212 5190 y Fs(\014)2251 5181 y Fq(\022[)p Fu(B)2398 5189 y Fs(i)2391 5082 y Fx(\022)2430 5094 y Fu(\014)2498 5082 y Fw(\024)2658 5003 y Ft(X)2585 5181 y Fu(D)2639 5190 y Fs(\014)2679 5181 y Fq(\022[)p Fu(B)2826 5189 y Fs(i)2865 5082 y Fx(\022)2904 5094 y Fu(\014)2949 5082 y FA(\()p Fx(k)3024 5094 y Fu(\014)3088 5082 y Fw(\000)18 b FA(1\))3245 5015 y Ft(\012)3284 5082 y Fx(\036)3333 5094 y Fu(\014)3378 5082 y FA(\()p FB(X)3482 5094 y Fs(D)3528 5109 y(\014)3572 5082 y FA(\))3604 5015 y Ft(\013)3644 5121 y Fu(q)3703 5082 y Fw(\024)23 b Fx(b)3827 5094 y Fu(\036)3910 5003 y Ft(X)3838 5181 y Fu(D)3892 5190 y Fs(\014)3931 5181 y Fq(\022[)p Fu(B)4078 5189 y Fs(i)4070 5082 y Fx(\022)4109 5094 y Fu(\014)4154 5082 y Fx(:)3974 5302 y FA(\(9\))2130 5550 y(T)-7 b(o)27 b(b)r(ound)h(the)g(log)f (partition)g(function,)h(w)n(e)g(\014nd)g(that)p eop end %%Page: 9 9 TeXDict begin 9 8 bop 37 260 a Fn(Z)89 268 y Fk(q)206 260 y Fi(=)349 189 y Fj(X)386 347 y Fb(x)473 260 y Fi(exp)603 178 y Fj(n)667 189 y(X)702 347 y Fk(\013)791 260 y Fn(\022)827 268 y Fk(\013)871 260 y Fn(\036)917 268 y Fk(\013)961 260 y Fi(\()p Fc(x)1038 268 y Fs(D)1084 276 y(\013)1130 260 y Fi(\))1160 178 y Fj(o)1228 260 y Fl(\002)349 474 y Fi(exp)479 391 y Fj(n)613 403 y(X)543 563 y Fk(D)593 575 y Fs(\014)632 563 y Fe(\022[)p Fk(B)768 574 y Fs(i)807 474 y Fn(\022)843 483 y Fk(\014)884 414 y Fj(\000)920 474 y Fn(k)960 483 y Fk(\014)1001 474 y Fn(\036)1047 438 y Fe(0)1047 487 y Fk(\014)1088 474 y Fi(\()p Fc(x)1165 482 y Fs(D)1211 497 y(\014)1250 482 y Fp(\\)p Fs(C)1330 495 y(i)1361 474 y Fi(\))17 b Fl(\000)g Fn(\036)1531 483 y Fk(\014)1572 474 y Fi(\()p Fc(x)1649 482 y Fs(D)1695 497 y(\014)1738 474 y Fi(\))1768 414 y Fj(\001)1803 391 y(o)206 710 y Fl(\024)349 639 y Fj(X)386 796 y Fb(x)473 710 y Fi(exp)603 627 y Fj(n)667 639 y(X)702 796 y Fk(\013)791 710 y Fn(\022)827 718 y Fk(\013)871 710 y Fn(\036)917 718 y Fk(\013)961 710 y Fi(\()p Fc(x)1038 718 y Fs(D)1084 726 y(\013)1130 710 y Fi(\))1160 627 y Fj(o)1228 710 y Fl(\002)g Fi(exp)1435 627 y Fj(n)1486 710 y Fn(b)1519 718 y Fk(Z)1651 639 y Fj(X)1581 798 y Fk(D)1631 810 y Fs(\014)1670 798 y Fe(\022[)p Fk(B)1806 809 y Fs(i)1845 710 y Fn(\022)1881 719 y Fk(\014)1922 627 y Fj(o)206 945 y Fi(=)83 b Fn(Z)401 953 y Fk(p)450 945 y Fi(exp)581 863 y Fj(n)632 945 y Fn(b)665 953 y Fk(Z)797 874 y Fj(X)727 1034 y Fk(D)777 1046 y Fs(\014)816 1034 y Fe(\022[)p Fk(B)952 1045 y Fs(i)990 945 y Fn(\022)1026 954 y Fk(\014)1068 863 y Fj(o)1119 945 y Fn(;)703 b Fi(\(10\))58 1211 y FA(where)77 1394 y Fx(b)113 1406 y Fu(Z)249 1394 y FA(=)82 b(max)456 1443 y Fs(\014)551 1394 y FA(\()p Fx(k)626 1406 y Fs(\014)665 1394 y Fx(\036)714 1406 y Fs(\014)r(;)p Ff(max)895 1394 y Fw(\000)18 b Fx(\036)1027 1406 y Fs(\014)r(;)p Ff(min)1179 1394 y FA(\))249 1564 y(=)82 b(max)456 1613 y Fs(\014)565 1496 y Ft(\000)603 1564 y FA(\()p Fx(k)678 1576 y Fs(\014)736 1564 y Fw(\000)18 b FA(1\))p Fx(\036)942 1576 y Fs(\014)r(;)p Ff(max)1122 1564 y FA(+)g(\()p Fx(\036)1286 1576 y Fs(\014)r(;)p Ff(max)1467 1564 y Fw(\000)g Fx(\036)1599 1576 y Fs(\014)r(;)p Ff(min)1751 1564 y FA(\))1783 1496 y Ft(\001)1821 1564 y Fx(:)-12 b FA(\(11\))30 1829 y(Similarly)-7 b(,)449 2021 y Fn(Z)501 2029 y Fk(q)619 2021 y Fl(\025)83 b Fn(Z)814 2029 y Fk(p)863 2021 y Fi(exp)993 1938 y Fj(n)1044 2021 y Fn(a)1085 2029 y Fk(Z)1217 1950 y Fj(X)1147 2109 y Fk(D)1197 2121 y Fs(\014)1236 2109 y Fe(\022[)p Fk(B)1372 2120 y Fs(i)1411 2021 y Fn(\022)1447 2030 y Fk(\014)1488 1938 y Fj(o)1539 2021 y Fn(;)283 b Fi(\(12\))58 2286 y FA(where)71 2469 y Fx(a)115 2481 y Fu(Z)251 2469 y FA(=)83 b(min)451 2519 y Fs(\014)551 2401 y Ft(\000)589 2469 y FA(\()p Fx(k)664 2481 y Fs(\014)722 2469 y Fw(\000)18 b FA(1\))p Fx(\036)928 2481 y Fs(\014)r(;)p Ff(min)1099 2469 y FA(+)g(\()p Fx(\036)1263 2481 y Fs(\014)r(;)p Ff(min)1433 2469 y Fw(\000)g Fx(\036)1565 2481 y Fs(\014)r(;)p Ff(max)1727 2469 y FA(\))1759 2401 y Ft(\001)1798 2469 y Fx(:)11 b FA(\(13\))30 2734 y(Th)n(us,)30 2928 y(log)j Fx(Z)208 2940 y Fu(p)265 2928 y FA(+)k Fx(a)392 2940 y Fu(Z)461 2849 y Ft(X)388 3028 y Fu(D)442 3037 y Fs(\014)481 3028 y Fq(\022[)p Fu(B)628 3036 y Fs(i)621 2928 y Fx(\022)660 2940 y Fu(\014)728 2928 y Fw(\024)k FA(log)15 b Fx(Z)994 2940 y Fu(q)1053 2928 y Fw(\024)23 b FA(log)14 b Fx(Z)1319 2940 y Fu(p)1375 2928 y FA(+)k Fx(b)1494 2940 y Fu(Z)1563 2849 y Ft(X)1490 3028 y Fu(D)1544 3037 y Fs(\014)1584 3028 y Fq(\022[)p Fu(B)1731 3036 y Fs(i)1723 2928 y Fx(\022)1762 2940 y Fu(\014)1807 2928 y Fx(:)h FA(\(14\))30 3252 y(Putting)28 b(these)f(together,)g(w)n(e)g(ha)n(v)n(e)525 3434 y Fx(aW)35 b Fw(\024)22 b FA(KL\()p Fx(q)s Fw(k)p Fx(p)p FA(\))h Fw(\024)f Fx(bW)n(;)513 b FA(\(15\))30 3617 y(where)27 b Fx(a)c FA(=)g(max)o(\(0)p Fx(;)42 b(a)762 3629 y Fu(\036)824 3617 y Fw(\000)18 b Fx(b)943 3629 y Fu(Z)996 3617 y FA(\))28 b(and)f Fx(b)c FA(=)g Fx(b)1400 3629 y Fu(\036)1462 3617 y Fw(\000)18 b Fx(a)1589 3629 y Fu(Z)1642 3617 y FA(.)30 3766 y(In)35 b(the)h(sp)r(ecial)f(case)f(where)h Fx(k)1044 3778 y Fu(\014)1125 3766 y FA(=)g Fx(k)s FA(,)i(for)e(all)g Fx(\014)k FA(\(e.g.,)e(all)30 3866 y(pairwise)23 b(p)r(oten)n(tials\),) i Fx(a)830 3878 y Fu(\036)886 3866 y Fw(\000)12 b Fx(b)999 3878 y Fu(Z)1075 3866 y FA(=)22 b(\()p Fx(k)15 b Fw(\000)d FA(1\))i(min)1555 3878 y Fs(\014)r(;\014)1644 3862 y Fp(0)1670 3866 y FA(\()p Fx(\036)1751 3878 y Fs(\014)r(;)p Ff(min)1915 3866 y Fw(\000)30 3966 y Fx(\036)79 3978 y Fs(\014)114 3961 y Fp(0)137 3978 y Fs(;)p Ff(max)264 3966 y FA(\))27 b(+)g(min)553 3978 y Fs(\014)592 3966 y FA(\()p Fx(\036)673 3978 y Fs(\014)r(;)p Ff(min)852 3966 y Fw(\000)g Fx(\036)993 3978 y Fs(\014)r(;)p Ff(max)1155 3966 y FA(\))45 b Fw(\025)f Fx(k)17 b FA(min)1540 3978 y Fs(\014)r(;\014)1629 3961 y Fp(0)1655 3966 y FA(\()p Fx(\036)1736 3978 y Fs(\014)r(;)p Ff(min)1915 3966 y Fw(\000)30 4065 y Fx(\036)79 4077 y Fs(\014)114 4061 y Fp(0)137 4077 y Fs(;)p Ff(max)264 4065 y FA(\),)k(and)e Fx(b)k FA(=)f Fx(b)675 4077 y Fu(\036)721 4065 y Fw(\000)r Fx(a)832 4077 y Fu(Z)908 4065 y Fw(\024)g Fx(k)17 b FA(max)1209 4077 y Fs(\014)r(;\014)1298 4061 y Fp(0)1325 4065 y FA(\()p Fx(\036)1406 4077 y Fs(\014)r(;)p Ff(max)1570 4065 y Fw(\000)r Fx(\036)1686 4077 y Fs(\014)1721 4061 y Fp(0)1744 4077 y Fs(;)p Ff(min)1860 4065 y FA(\))23 b Fw(\021)30 4165 y Fx(k)s FA(\001)145 4177 y Fu(\036)189 4165 y FA(.)49 b(Since)31 b(KL)g(div)n(ergence)f(is)i(alw)n(a)n(ys)d(nonnegativ)n(e,)i (w)n(e)30 4265 y(ha)n(v)n(e)509 4447 y(0)23 b Fw(\024)f FA(KL\()p Fx(q)s Fw(k)p Fx(p)p FA(\))h Fw(\024)f Fx(k)s FA(\001)1191 4459 y Fu(\036)1236 4447 y Fx(W)n(:)497 b FA(\(16\))p 1933 4680 48 48 v eop end %%Trailer userdict /end-hook known{end-hook}if %%EOF