Content-Type: multipart/mixed; boundary="-------------0608260523651" This is a multi-part message in MIME format. ---------------0608260523651 Content-Type: text/plain; name="06-231.keywords" Content-Transfer-Encoding: 7bit Content-Disposition: attachment; filename="06-231.keywords" TASEP, Random matrices, Growth models ---------------0608260523651 Content-Type: application/postscript; name="ContinuousTasep.ps" Content-Transfer-Encoding: 7bit Content-Disposition: inline; filename="ContinuousTasep.ps" %!PS-Adobe-2.0 %%Creator: dvips(k) 5.94b Copyright 2004 Radical Eye Software %%Title: ContinuousTasep.dvi %%CreationDate: Sat Aug 26 12:16:28 2006 %%Pages: 31 %%PageOrder: Ascend %%BoundingBox: 0 0 595 842 %%DocumentFonts: CMR17 CMR12 CMSY10 CMBX10 CMR10 CMBX12 CMTI12 CMSY7 %%+ CMMI12 CMMI8 CMR8 CMSY8 CMR7 CMMI10 CMR6 CMMI6 CMEX10 CMSY6 EUFM10 %%+ EUFM7 MSBM10 CMMI7 %%DocumentPaperSizes: a4 %%EndComments %DVIPSWebPage: (www.radicaleye.com) %DVIPSCommandLine: dvips.exe ContinuousTasep.dvi %DVIPSParameters: dpi=600 %DVIPSSource: TeX output 2006.08.26:1216 %%BeginProcSet: tex.pro 0 0 %! /TeXDict 300 dict def TeXDict begin/N{def}def/B{bind def}N/S{exch}N/X{S N}B/A{dup}B/TR{translate}N/isls false N/vsize 11 72 mul N/hsize 8.5 72 mul N/landplus90{false}def/@rigin{isls{[0 landplus90{1 -1}{-1 1}ifelse 0 0 0]concat}if 72 Resolution div 72 VResolution div neg scale isls{ landplus90{VResolution 72 div vsize mul 0 exch}{Resolution -72 div hsize mul 0}ifelse TR}if Resolution VResolution vsize -72 div 1 add mul TR[ matrix currentmatrix{A A round sub abs 0.00001 lt{round}if}forall round exch round exch]setmatrix}N/@landscape{/isls true N}B/@manualfeed{ statusdict/manualfeed true put}B/@copies{/#copies X}B/FMat[1 0 0 -1 0 0] N/FBB[0 0 0 0]N/nn 0 N/IEn 0 N/ctr 0 N/df-tail{/nn 8 dict N nn begin /FontType 3 N/FontMatrix fntrx N/FontBBox FBB N string/base X array /BitMaps X/BuildChar{CharBuilder}N/Encoding IEn N end A{/foo setfont}2 array copy cvx N load 0 nn put/ctr 0 N[}B/sf 0 N/df{/sf 1 N/fntrx FMat N df-tail}B/dfs{div/sf X/fntrx[sf 0 0 sf neg 0 0]N df-tail}B/E{pop nn A definefont setfont}B/Cw{Cd A length 5 sub get}B/Ch{Cd A length 4 sub get }B/Cx{128 Cd A length 3 sub get sub}B/Cy{Cd A length 2 sub get 127 sub} B/Cdx{Cd A length 1 sub get}B/Ci{Cd A type/stringtype ne{ctr get/ctr ctr 1 add N}if}B/CharBuilder{save 3 1 roll S A/base get 2 index get S /BitMaps get S get/Cd X pop/ctr 0 N Cdx 0 Cx Cy Ch sub Cx Cw add Cy setcachedevice Cw Ch true[1 0 0 -1 -.1 Cx sub Cy .1 sub]{Ci}imagemask restore}B/D{/cc X A type/stringtype ne{]}if nn/base get cc ctr put nn /BitMaps get S ctr S sf 1 ne{A A length 1 sub A 2 index S get sf div put }if put/ctr ctr 1 add N}B/I{cc 1 add D}B/bop{userdict/bop-hook known{ bop-hook}if/SI save N @rigin 0 0 moveto/V matrix currentmatrix A 1 get A mul exch 0 get A mul add .99 lt{/QV}{/RV}ifelse load def pop pop}N/eop{ SI restore userdict/eop-hook known{eop-hook}if showpage}N/@start{ userdict/start-hook known{start-hook}if pop/VResolution X/Resolution X 1000 div/DVImag X/IEn 256 array N 2 string 0 1 255{IEn S A 360 add 36 4 index cvrs cvn put}for pop 65781.76 div/vsize X 65781.76 div/hsize X}N /p{show}N/RMat[1 0 0 -1 0 0]N/BDot 260 string N/Rx 0 N/Ry 0 N/V{}B/RV/v{ /Ry X/Rx X V}B statusdict begin/product where{pop false[(Display)(NeXT) (LaserWriter 16/600)]{A length product length le{A length product exch 0 exch getinterval eq{pop true exit}if}{pop}ifelse}forall}{false}ifelse end{{gsave TR -.1 .1 TR 1 1 scale Rx Ry false RMat{BDot}imagemask grestore}}{{gsave TR -.1 .1 TR Rx Ry scale 1 1 false RMat{BDot} imagemask grestore}}ifelse B/QV{gsave newpath transform round exch round exch itransform moveto Rx 0 rlineto 0 Ry neg rlineto Rx neg 0 rlineto fill grestore}B/a{moveto}B/delta 0 N/tail{A/delta X 0 rmoveto}B/M{S p delta add tail}B/b{S p tail}B/c{-4 M}B/d{-3 M}B/e{-2 M}B/f{-1 M}B/g{0 M} B/h{1 M}B/i{2 M}B/j{3 M}B/k{4 M}B/w{0 rmoveto}B/l{p -4 w}B/m{p -3 w}B/n{ p -2 w}B/o{p -1 w}B/q{p 1 w}B/r{p 2 w}B/s{p 3 w}B/t{p 4 w}B/x{0 S rmoveto}B/y{3 2 roll p a}B/bos{/SS save N}B/eos{SS restore}B end %%EndProcSet %%BeginProcSet: psfrag.pro 0 0 %% %% This is file `psfrag.pro', %% generated with the docstrip utility. %% %% The original source files were: %% %% psfrag.dtx (with options: `filepro') %% %% Copyright (c) 1996 Craig Barratt, Michael C. 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0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 cleartomark %%EndFont %%BeginFont: MSBM10 %!PS-AdobeFont-1.1: MSBM10 2.1 %%CreationDate: 1993 Sep 17 11:10:37 % Math Symbol fonts were designed by the American Mathematical Society. % Copyright (C) 1997 American Mathematical Society. All Rights Reserved. 11 dict begin /FontInfo 7 dict dup begin /version (2.1) readonly def /Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def /FullName (MSBM10) readonly def /FamilyName (Euler) readonly def /Weight (Medium) readonly def /ItalicAngle 0 def /isFixedPitch false def end readonly def /FontName /MSBM10 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 67 /C put readonly def /FontBBox{-55 -420 2343 920}readonly def /UniqueID 5031982 def currentdict end currentfile eexec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cleartomark %%EndFont %%BeginFont: EUFM7 %!PS-AdobeFont-1.1: EUFM7 2.1 %%CreationDate: 1992 Nov 20 17:36:25 % Euler fonts were designed by Hermann Zapf. % Copyright (C) 1997 American Mathematical Society. All Rights Reserved. 11 dict begin /FontInfo 7 dict dup begin /version (2.1) readonly def /Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def /FullName (EUFM7) readonly def /FamilyName (Euler) readonly def /Weight (Medium) readonly def /ItalicAngle 0 def /isFixedPitch false def end readonly def /FontName /EUFM7 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 89 /Y put readonly def /FontBBox{0 -250 1193 750}readonly def /UniqueID 5031992 def currentdict end currentfile eexec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cleartomark %%EndFont %%BeginFont: EUFM10 %!PS-AdobeFont-1.1: EUFM10 2.1 %%CreationDate: 1992 Nov 20 17:36:20 % Euler fonts were designed by Hermann Zapf. % Copyright (C) 1997 American Mathematical Society. All Rights Reserved. 11 dict begin /FontInfo 7 dict dup begin /version (2.1) readonly def /Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def /FullName (EUFM10) readonly def /FamilyName (Euler) readonly def /Weight (Medium) readonly def /ItalicAngle 0 def /isFixedPitch false def end readonly def /FontName /EUFM10 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 88 /X put dup 89 /Y put readonly def /FontBBox{-26 -224 1055 741}readonly def /UniqueID 5031986 def currentdict end currentfile eexec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cleartomark %%EndFont %%BeginFont: CMSY6 %!PS-AdobeFont-1.1: CMSY6 1.0 %%CreationDate: 1991 Aug 15 07:21:34 % Copyright (C) 1997 American Mathematical Society. All Rights Reserved. 11 dict begin /FontInfo 7 dict dup begin /version (1.0) readonly def /Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def /FullName (CMSY6) readonly def /FamilyName (Computer Modern) readonly def /Weight (Medium) readonly def /ItalicAngle -14.035 def /isFixedPitch false def end readonly def /FontName /CMSY6 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 0 /minus put dup 48 /prime put dup 49 /infinity put readonly def /FontBBox{-4 -948 1329 786}readonly def /UniqueID 5000816 def currentdict end currentfile eexec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cleartomark %%EndFont %%BeginFont: CMBX12 %!PS-AdobeFont-1.1: CMBX12 1.0 %%CreationDate: 1991 Aug 20 16:34:54 % Copyright (C) 1997 American Mathematical Society. All Rights Reserved. 11 dict begin /FontInfo 7 dict dup begin /version (1.0) readonly def /Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def /FullName (CMBX12) readonly def /FamilyName (Computer Modern) readonly def /Weight (Bold) readonly def /ItalicAngle 0 def /isFixedPitch false def end readonly def /FontName /CMBX12 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 12 /fi put dup 46 /period put dup 48 /zero put dup 49 /one put dup 50 /two put dup 51 /three put dup 52 /four put dup 53 /five put dup 54 /six put dup 55 /seven put dup 56 /eight put dup 57 /nine put dup 58 /colon put dup 65 /A put dup 66 /B put dup 67 /C put dup 73 /I put dup 74 /J put dup 76 /L put dup 77 /M put dup 79 /O put dup 82 /R put dup 83 /S put dup 84 /T put dup 97 /a put dup 98 /b put dup 99 /c put dup 100 /d put dup 101 /e put dup 102 /f put dup 103 /g put dup 104 /h put dup 105 /i put dup 106 /j put dup 107 /k put dup 108 /l put dup 109 /m put dup 110 /n put dup 111 /o put dup 112 /p put dup 114 /r put dup 115 /s put dup 116 /t put dup 117 /u put dup 119 /w put dup 120 /x put dup 121 /y put dup 122 /z put readonly def /FontBBox{-53 -251 1139 750}readonly def /UniqueID 5000769 def currentdict end currentfile eexec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cleartomark %%EndFont %%BeginFont: CMMI6 %!PS-AdobeFont-1.1: CMMI6 1.100 %%CreationDate: 1996 Jul 23 07:53:52 % Copyright (C) 1997 American Mathematical Society. All Rights Reserved. 11 dict begin /FontInfo 7 dict dup begin /version (1.100) readonly def /Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def /FullName (CMMI6) readonly def /FamilyName (Computer Modern) readonly def /Weight (Medium) readonly def /ItalicAngle -14.04 def /isFixedPitch false def end readonly def /FontName /CMMI6 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 14 /delta put dup 25 /pi put dup 59 /comma put dup 61 /slash put dup 65 /A put dup 105 /i put dup 110 /n put readonly def /FontBBox{11 -250 1241 750}readonly def /UniqueID 5087381 def currentdict end currentfile eexec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cleartomark %%EndFont %%BeginFont: CMR6 %!PS-AdobeFont-1.1: CMR6 1.0 %%CreationDate: 1991 Aug 20 16:39:02 % Copyright (C) 1997 American Mathematical Society. All Rights Reserved. 11 dict begin /FontInfo 7 dict dup begin /version (1.0) readonly def /Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def /FullName (CMR6) readonly def /FamilyName (Computer Modern) readonly def /Weight (Medium) readonly def /ItalicAngle 0 def /isFixedPitch false def end readonly def /FontName /CMR6 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 48 /zero put dup 49 /one put dup 50 /two put dup 51 /three put dup 52 /four put dup 56 /eight put dup 105 /i put readonly def /FontBBox{-20 -250 1193 750}readonly def /UniqueID 5000789 def currentdict end currentfile eexec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cleartomark %%EndFont %%BeginFont: CMMI10 %!PS-AdobeFont-1.1: CMMI10 1.100 %%CreationDate: 1996 Jul 23 07:53:57 % Copyright (C) 1997 American Mathematical Society. All Rights Reserved. 11 dict begin /FontInfo 7 dict dup begin /version (1.100) readonly def /Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def /FullName (CMMI10) readonly def /FamilyName (Computer Modern) readonly def /Weight (Medium) readonly def /ItalicAngle -14.04 def /isFixedPitch false def end readonly def /FontName /CMMI10 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 11 /alpha put dup 13 /gamma put dup 60 /less put dup 61 /slash put dup 73 /I put dup 101 /e put dup 102 /f put dup 116 /t put dup 122 /z put readonly def /FontBBox{-32 -250 1048 750}readonly def /UniqueID 5087385 def currentdict end currentfile eexec D9D66F633B846A97B686A97E45A3D0AA0529731C99A784CCBE85B4993B2EEBDE 3B12D472B7CF54651EF21185116A69AB1096ED4BAD2F646635E019B6417CC77B 532F85D811C70D1429A19A5307EF63EB5C5E02C89FC6C20F6D9D89E7D91FE470 B72BEFDA23F5DF76BE05AF4CE93137A219ED8A04A9D7D6FDF37E6B7FCDE0D90B 986423E5960A5D9FBB4C956556E8DF90CBFAEC476FA36FD9A5C8175C9AF513FE D919C2DDD26BDC0D99398B9F4D03D5993DFC0930297866E1CD0A319B6B1FD958 9E394A533A081C36D456A09920001A3D2199583EB9B84B4DEE08E3D12939E321 990CD249827D9648574955F61BAAA11263A91B6C3D47A5190165B0C25ABF6D3E 6EC187E4B05182126BB0D0323D943170B795255260F9FD25F2248D04F45DFBFB DEF7FF8B19BFEF637B210018AE02572B389B3F76282BEB29CC301905D388C721 59616893E774413F48DE0B408BC66DCE3FE17CB9F84D205839D58014D6A88823 D9320AE93AF96D97A02C4D5A2BB2B8C7925C4578003959C46E3CE1A2F0EAC4BF 8B9B325E46435BDE60BC54D72BC8ACB5C0A34413AC87045DC7B84646A324B808 6FD8E34217213E131C3B1510415CE45420688ED9C1D27890EC68BD7C1235FAF9 1DAB3A369DD2FC3BE5CF9655C7B7EDA7361D7E05E5831B6B8E2EEC542A7B38EE 03BE4BAC6079D038ACB3C7C916279764547C2D51976BABA94BA9866D79F13909 95AA39B0F03103A07CBDF441B8C5669F729020AF284B7FF52A29C6255FCAACF1 74109050FBA2602E72593FBCBFC26E726EE4AEF97B7632BC4F5F353B5C67FED2 3EA752A4A57B8F7FEFF1D7341D895F0A3A0BE1D8E3391970457A967EFF84F6D8 47750B1145B8CC5BD96EE7AA99DDC9E06939E383BDA41175233D58AD263EBF19 AFC0E2F840512D321166547B306C592B8A01E1FA2564B9A26DAC14256414E4C8 42616728D918C74D13C349F4186EC7B9708B86467425A6FDB3A396562F7EE4D8 40B43621744CF8A23A6E532649B66C2A0002DD04F8F39618E4F572819DD34837 B5A08E643FDCA1505AF6A1FA3DDFD1FA758013CAED8ACDDBBB334D664DFF5B53 95601766758C197F327101A9C9BF396ED625E27A7791ADF5E78CB2FE0D01D96A E1C9A23BB714583423CF8FD834D8C0EA0E1F1B3DE5D71BC3E0408BBAFBE12A78 09086EC1FD2DAC91A48BB4924AC81B73CD837EF30EACEADC89374BDA3BBFB962 BC424F21D3FDBDCC900645E3E6F72D9E6DDF3FC5D57DC2EA4C807533EDE16D9A 379DADC024A4EAB8C522136EA19655389E8599890C2B7B92E8E488CBC857534A B9A094BE01B49173E4144E7C5F218B1B4A308FE60981D624B4E442E07369048B 6E851A755E3F11D105CC0DEF8161B6F683ACE5088DF51233848A91AC2BEDB0A7 ABCCA51937FA1C39EBBE6A7BA8075021BB301EE727CD32B327E14AA675099174 5B25C680888AA1D6C033A5E17739072F3315C53E20353D7392FA7492E9C88188 312F810B2C91BF78BFDB73E3833B833DD9EC6D57E051711AF7417F037235AA20 3DAF55628F52D0C9B4E41F9F03E0E77CA0341B32F403BA83F8643641ADB1E52C 5FD5385F76C6553CEE65A0819C86E3BD91658987A9ABA6FD3BB47073605BDC1D D8B4C168EDB7435E1772F4FB8F6CB369E57213A25845A74FFF786841CAC91016 87BF7882B4409CD37917FAD118C5CE0A4912FB4AC44DA1DAD49C37E6AEF8F148 20F3329FE3E21D3D18B9ED80BF140FB9CC861E9BB87EB0069AB2235F05AF3F5E 0C71F6088E78C4AEF48B9AC2C7CCBC553E480DABDDE4D082F92E9A8B802A47C2 48FE82F806305411C713066AA19014D3167CD0F66BB83312ABC3207A2C4ACCC3 2C6EAE9BFDD8FA9FE8DF29F247B9E1735C026DF8E6A29443932D9E48C9ACBEDA 1C5D015D9E8E3EED20BE12B778A69D4F19E0EF170C1B159C7C4D0A9DB75DEA4A 7C0F8D7ED8F5F05745CABE71B50E9DE614B4FE2DC29D9701206CE4FC1835D5E9 B31A23146E2E202435E12A1013DC74DBF9FAACA803D3FB541CB117AC670101D1 692FEA76FB244FD73C89EF66CCD4B06059DA62E383437BF5F53966EAAB5B4F98 297461AD07E6AF564D019B55653B73263F3E79A9234999D592F79C5261965069 7B5AE5B9E89CEB4FA9E38539537064C705B6BE9C7224E9DE09435E06AF2E3CD1 7D621F7DD2A13E2A63547A594272D214774A7AFB6D1F3254B611AE0BAA0CCE36 6357E5B005262479E43E9148B9EED1A57D2D56EB3FC533C31B3672190C5868AF 360B397C6C279682ABC5FFDCB7B208CCDA6865875BC134CF35A0B44569F75C22 E8D9EEE25C4B79E0F7CB0CC7E975D45ECD0D63B557D146877E88D51947D57A2E 873B89BC29885A69BBFC751DD162DE942B7A8F1F59610C2DB5C4B15535B66B81 62C393F099C70C5A85A857E8684761EED30B3F2470B6AAC1AC42DD3ECD084E40 A8A7429352408C4443AC08E6829B2E9A21FDC1FC18322391B64ED4CF50461140 A9477543A56B28E636B884DC4FE080678D9E8807118302305841D64BD1931B10 3F7BF5FEA545BAA4C04677DC0D4BAD9841B89C6A067C804B619157B0E93E2D73 D95E9BD3B1FE8FF321CD65E2FE0C965D8720B026ED68F5818A096CC6CE9709A5 D4DE6043919C0FE13E5E93092818B77E7FC69D8A1EA8BB678D1234105EFBFCA1 01F272FDE89B8ECC0FA3B39619CDC6BF86AAD67A638C5FBE1E6EA629AFF622F0 BD0E1D7092C2E02FD458BD4C479099E10C6EA8CE6B150479067F32EA7A453232 DA76428032EFB7B52AE0F220D1771B20A64A8EE6128EDA26C72F9845F1EAE6E7 661E098DACE3D08DC2F129CAD9F39F9537AEAE0008893744A48AE11A26E28031 B45C4E25D1D067B204EBCD009340E3A48683FCCCBFC2BCA9EF45B737DA01F17A 6F581CACB5B929220A36C047322A72DA4ECA53881015C683759AB5E8D7A2BB7D 7C65A7C6DDADA5CB07D38ED9F75980941E0E696455F079B052B8B4C4EBA0D8C8 0C39C2C1ABA3A2F3A8D6CFD2FA1F5975B42343E347A98FB36478019EDA056B7B 50FC82485D512A597FF0663179284D28000A1923C53F0D5C0A9665C1C750FB5B 1580EE46764228F145252A8D32D7544B9F7D480D5344C501AADB75EE1D2E1A28 F61E63E62F01EA5FC1C0C6C7BB70893A406456B0EE5CB423E277DB5F09C285A9 B540FECB8CFE3BDBD621F57AE75A7E0E0154E1F2172F501B1514622C35C041FD 2AEED29B9831F20966680FBFA1B04DE221693F57DF4712350873BCD6765A13D3 FA2C69ACB48BEC1628603CF5F7A9E1870D047D989F881B3A7A4379CBFA5094BB 7A851F075AB2A2A3EAF7D62EC2C7615DCF4FF5806A5AA455AA390C83DB8D3D32 1A74D8143C0D4ECEB07D8A890764DEDEEC221E46307E4B 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 cleartomark %%EndFont %%BeginFont: CMR7 %!PS-AdobeFont-1.1: CMR7 1.0 %%CreationDate: 1991 Aug 20 16:39:21 % Copyright (C) 1997 American Mathematical Society. All Rights Reserved. 11 dict begin /FontInfo 7 dict dup begin /version (1.0) readonly def /Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def /FullName (CMR7) readonly def /FamilyName (Computer Modern) readonly def /Weight (Medium) readonly def /ItalicAngle 0 def /isFixedPitch false def end readonly def /FontName /CMR7 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 40 /parenleft put dup 41 /parenright put dup 48 /zero put dup 49 /one put dup 50 /two put readonly def /FontBBox{-27 -250 1122 750}readonly def /UniqueID 5000790 def currentdict end currentfile eexec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cleartomark %%EndFont %%BeginFont: CMSY8 %!PS-AdobeFont-1.1: CMSY8 1.0 %%CreationDate: 1991 Aug 15 07:22:10 % Copyright (C) 1997 American Mathematical Society. All Rights Reserved. 11 dict begin /FontInfo 7 dict dup begin /version (1.0) readonly def /Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def /FullName (CMSY8) readonly def /FamilyName (Computer Modern) readonly def /Weight (Medium) readonly def /ItalicAngle -14.035 def /isFixedPitch false def end readonly def /FontName /CMSY8 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 0 /minus put dup 1 /periodcentered put dup 2 /multiply put dup 6 /plusminus put dup 20 /lessequal put dup 21 /greaterequal put dup 33 /arrowright put dup 48 /prime put dup 49 /infinity put dup 50 /element put dup 68 /D put dup 79 /O put dup 98 /floorleft put dup 99 /floorright put dup 102 /braceleft put dup 103 /braceright put dup 106 /bar put dup 110 /backslash put readonly def /FontBBox{-30 -955 1185 779}readonly def /UniqueID 5000818 def currentdict end currentfile eexec D9D66F633B846A97B686A97E45A3D0AA052F09F9C8ADE9D907C058B87E9B6964 7D53359E51216774A4EAA1E2B58EC3176BD1184A633B951372B4198D4E8C5EF4 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cleartomark %%EndFont %%BeginFont: CMR8 %!PS-AdobeFont-1.1: CMR8 1.0 %%CreationDate: 1991 Aug 20 16:39:40 % Copyright (C) 1997 American Mathematical Society. All Rights Reserved. 11 dict begin /FontInfo 7 dict dup begin /version (1.0) readonly def /Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def /FullName (CMR8) readonly def /FamilyName (Computer Modern) readonly def /Weight (Medium) readonly def /ItalicAngle 0 def /isFixedPitch false def end readonly def /FontName /CMR8 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 0 /Gamma put dup 1 /Delta put dup 40 /parenleft put dup 41 /parenright put dup 43 /plus put dup 48 /zero put dup 49 /one put dup 50 /two put dup 51 /three put dup 52 /four put dup 53 /five put dup 54 /six put dup 56 /eight put dup 61 /equal put dup 70 /F put dup 91 /bracketleft put dup 93 /bracketright put dup 97 /a put dup 99 /c put dup 101 /e put dup 103 /g put dup 105 /i put dup 109 /m put dup 110 /n put dup 114 /r put dup 115 /s put dup 120 /x put dup 126 /tilde put readonly def /FontBBox{-36 -250 1070 750}readonly def /UniqueID 5000791 def currentdict end currentfile eexec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0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 cleartomark %%EndFont %%BeginFont: CMSY10 %!PS-AdobeFont-1.1: CMSY10 1.0 %%CreationDate: 1991 Aug 15 07:20:57 % Copyright (C) 1997 American Mathematical Society. All Rights Reserved. 11 dict begin /FontInfo 7 dict dup begin /version (1.0) readonly def /Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def /FullName (CMSY10) readonly def /FamilyName (Computer Modern) readonly def /Weight (Medium) readonly def /ItalicAngle -14.035 def /isFixedPitch false def end readonly def /FontName /CMSY10 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 0 /minus put dup 1 /periodcentered put dup 2 /multiply put dup 3 /asteriskmath put dup 17 /equivalence put dup 20 /lessequal put dup 21 /greaterequal put dup 24 /similar put dup 33 /arrowright put dup 49 /infinity put dup 50 /element put dup 54 /negationslash put dup 55 /mapsto put dup 65 /A put dup 68 /D put dup 79 /O put dup 83 /S put dup 91 /union put dup 92 /intersection put dup 95 /logicalor put dup 102 /braceleft put dup 103 /braceright put dup 106 /bar put dup 110 /backslash put dup 112 /radical put dup 120 /section put dup 121 /dagger put dup 122 /daggerdbl put readonly def /FontBBox{-29 -960 1116 775}readonly def 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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. All Rights Reserved) readonly def /FullName (CMMI8) readonly def /FamilyName (Computer Modern) readonly def /Weight (Medium) readonly def /ItalicAngle -14.04 def /isFixedPitch false def end readonly def /FontName /CMMI8 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 11 /alpha put dup 13 /gamma put dup 14 /delta put dup 18 /theta put dup 21 /lambda put dup 22 /mu put dup 25 /pi put dup 27 /sigma put dup 31 /chi put dup 58 /period put dup 59 /comma put dup 60 /less put dup 61 /slash put dup 65 /A put dup 66 /B put dup 68 /D put dup 72 /H put dup 76 /L put dup 78 /N put dup 81 /Q put dup 96 /lscript put dup 97 /a put dup 98 /b put dup 99 /c put dup 100 /d put dup 101 /e put dup 102 /f put dup 105 /i put dup 106 /j put dup 107 /k put dup 108 /l put dup 109 /m put dup 110 /n put dup 115 /s put dup 116 /t put dup 117 /u put dup 118 /v put dup 119 /w put dup 120 /x put dup 121 /y put dup 122 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1.100 %%CreationDate: 1996 Jul 27 08:57:55 % Copyright (C) 1997 American Mathematical Society. All Rights Reserved. 11 dict begin /FontInfo 7 dict dup begin /version (1.100) readonly def /Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def /FullName (CMMI12) readonly def /FamilyName (Computer Modern) readonly def /Weight (Medium) readonly def /ItalicAngle -14.04 def /isFixedPitch false def end readonly def /FontName /CMMI12 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 11 /alpha put dup 12 /beta put dup 13 /gamma put dup 14 /delta put dup 17 /eta put dup 18 /theta put dup 21 /lambda put dup 22 /mu put dup 25 /pi put dup 27 /sigma put dup 30 /phi put dup 31 /chi put dup 33 /omega put dup 34 /epsilon put dup 58 /period put dup 59 /comma put dup 60 /less put dup 61 /slash put dup 62 /greater put dup 63 /star put dup 64 /partialdiff put dup 65 /A put dup 66 /B put dup 67 /C put dup 68 /D put dup 69 /E put dup 70 /F put dup 71 /G put dup 72 /H put dup 74 /J put dup 75 /K put dup 76 /L put dup 77 /M put dup 78 /N put dup 81 /Q put dup 83 /S put dup 84 /T put dup 85 /U put dup 86 /V put dup 87 /W put dup 90 /Z put dup 97 /a put dup 98 /b put dup 99 /c put dup 100 /d put dup 101 /e put dup 102 /f put dup 104 /h put dup 105 /i put dup 106 /j put dup 107 /k put dup 108 /l put dup 109 /m put dup 110 /n put dup 112 /p put dup 113 /q put dup 115 /s put dup 116 /t put dup 117 /u put dup 118 /v put dup 119 /w put dup 120 /x put dup 121 /y put dup 122 /z put readonly def /FontBBox{-30 -250 1026 750}readonly def /UniqueID 5087386 def currentdict end currentfile eexec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0000000000000000000000000000000000000000000000000000000000000000 cleartomark %%EndFont %%BeginFont: CMR10 %!PS-AdobeFont-1.1: CMR10 1.00B %%CreationDate: 1992 Feb 19 19:54:52 % Copyright (C) 1997 American Mathematical Society. All Rights Reserved. 11 dict begin /FontInfo 7 dict dup begin /version (1.00B) readonly def /Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def /FullName (CMR10) readonly def /FamilyName (Computer Modern) readonly def /Weight (Medium) readonly def /ItalicAngle 0 def /isFixedPitch false def end readonly def /FontName /CMR10 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 12 /fi put dup 13 /fl put dup 40 /parenleft put dup 41 /parenright put dup 44 /comma put dup 45 /hyphen put dup 46 /period put dup 49 /one put dup 50 /two put dup 51 /three put dup 52 /four put dup 54 /six put dup 58 /colon put dup 61 /equal put dup 64 /at put dup 65 /A put dup 67 /C put dup 69 /E put dup 70 /F put dup 73 /I put dup 77 /M put dup 80 /P put dup 82 /R put dup 83 /S put dup 84 /T put dup 85 /U put dup 87 /W put dup 91 /bracketleft put dup 93 /bracketright put dup 97 /a put dup 98 /b put dup 99 /c put dup 100 /d put dup 101 /e put dup 102 /f put dup 103 /g put dup 104 /h put dup 105 /i put dup 106 /j put dup 107 /k put dup 108 /l put dup 109 /m put dup 110 /n put dup 111 /o put dup 112 /p put dup 114 /r put dup 115 /s put dup 116 /t put dup 117 /u put dup 118 /v put dup 119 /w put dup 120 /x put dup 121 /y put dup 127 /dieresis put readonly def /FontBBox{-251 -250 1009 969}readonly def /UniqueID 5000793 def currentdict end currentfile eexec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All Rights Reserved. 11 dict begin /FontInfo 7 dict dup begin /version (1.0) readonly def /Notice (Copyright (C) 1997 American Mathematical Society. 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 3 /asteriskmath put dup 120 /section put dup 121 /dagger put dup 122 /daggerdbl put readonly def /FontBBox{-15 -951 1252 782}readonly def /UniqueID 5000817 def currentdict end currentfile eexec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cleartomark %%EndFont %%BeginFont: CMR12 %!PS-AdobeFont-1.1: CMR12 1.0 %%CreationDate: 1991 Aug 20 16:38:05 % Copyright (C) 1997 American Mathematical Society. All Rights Reserved. 11 dict begin /FontInfo 7 dict dup begin /version (1.0) readonly def /Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def /FullName (CMR12) readonly def /FamilyName (Computer Modern) readonly def /Weight (Medium) readonly def /ItalicAngle 0 def /isFixedPitch false def end readonly def /FontName /CMR12 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 0 /Gamma put dup 1 /Delta put dup 8 /Phi put dup 9 /Psi put dup 10 /Omega put dup 11 /ff put dup 12 /fi put dup 13 /fl put dup 14 /ffi put dup 19 /acute put dup 31 /Oslash put dup 33 /exclam put dup 39 /quoteright put dup 40 /parenleft put dup 41 /parenright put dup 43 /plus put dup 44 /comma put dup 45 /hyphen put dup 46 /period put dup 47 /slash put dup 48 /zero put dup 49 /one put dup 50 /two put dup 51 /three put dup 52 /four put dup 53 /five put dup 54 /six put dup 55 /seven put dup 56 /eight put dup 57 /nine put dup 58 /colon put dup 59 /semicolon put dup 61 /equal put dup 65 /A put dup 66 /B put dup 67 /C put dup 68 /D put 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0000000000000000000000000000000000000000000000000000000000000000 cleartomark %%EndFont %%BeginFont: CMTI12 %!PS-AdobeFont-1.1: CMTI12 1.0 %%CreationDate: 1991 Aug 18 21:06:53 % 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 (CMTI12) readonly def /FamilyName (Computer Modern) readonly def /Weight (Medium) readonly def /ItalicAngle -14.04 def /isFixedPitch false def end readonly def /FontName /CMTI12 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 11 /ff put dup 12 /fi put dup 13 /fl put dup 14 /ffi put dup 19 /acute put dup 34 /quotedblright put dup 39 /quoteright put dup 40 /parenleft put dup 41 /parenright put dup 44 /comma put dup 45 /hyphen put dup 46 /period put dup 49 /one put dup 50 /two put dup 51 /three put dup 52 /four put dup 53 /five put dup 57 /nine put dup 58 /colon put dup 65 /A put dup 66 /B put dup 67 /C put dup 68 /D put dup 69 /E put dup 70 /F put dup 71 /G put dup 72 /H put dup 73 /I put dup 75 /K put dup 76 /L put dup 77 /M put dup 78 /N put dup 79 /O put dup 80 /P put dup 82 /R put dup 83 /S put dup 84 /T put dup 85 /U put dup 87 /W put dup 89 /Y put dup 90 /Z put dup 92 /quotedblleft put dup 97 /a put dup 98 /b put dup 99 /c put dup 100 /d put dup 101 /e put dup 102 /f put dup 103 /g put dup 104 /h put dup 105 /i put dup 106 /j put dup 107 /k put dup 108 /l put dup 109 /m put dup 110 /n put dup 111 /o put dup 112 /p put dup 113 /q put dup 114 /r put dup 115 /s put dup 116 /t put dup 117 /u put dup 118 /v put dup 119 /w put dup 120 /x put dup 121 /y put dup 122 /z put readonly def /FontBBox{-36 -251 1103 750}readonly def /UniqueID 5000829 def currentdict end currentfile eexec D9D66F633B846A97B686A97E45A3D0AA0529731C99A784CCBE85B4993B2EEBDE 3B12D472B7CF54651EF21185116A69AB1096ED4BAD2F646635E019B6417CC77B 532F85D811C70D1429A19A5307EF63EB5C5E02C89FC6C20F6D9D89E7D91FE470 B72BEFDA23F5DF76BE05AF4CE93137A219ED8A04A9D7D6FDF37E6B7FCDE0D90B 986423E5960A5D9FBB4C956556E8DF90CBFAEC476FA36FD9A5C8175C9AF513FE D919C2DDD26BDC0D99398B9F4D03D6A8F05B47AF95EF28A9C561DBDC98C47CF5 525003F3DBE5BF07B2E83E66B7F97DDD7CE0EEB75A78BD9227BF359D002B6ADB 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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 65 /A put dup 97 /a put dup 98 /b put dup 99 /c put dup 114 /r put dup 115 /s put dup 116 /t put readonly def /FontBBox{-301 -250 1164 946}readonly def /UniqueID 5000768 def currentdict end currentfile eexec D9D66F633B846A97B686A97E45A3D0AA052A014267B7904EB3C0D3BD0B83D891 016CA6CA4B712ADEB258FAAB9A130EE605E61F77FC1B738ABC7C51CD46EF8171 9098D5FEE67660E69A7AB91B58F29A4D79E57022F783EB0FBBB6D4F4EC35014F D2DECBA99459A4C59DF0C6EBA150284454E707DC2100C15B76B4C19B84363758 469A6C558785B226332152109871A9883487DD7710949204DDCF837E6A8708B8 2BDBF16FBC7512FAA308A093FE5F00F963068B8B731A88D7740B0DDAED1B3F82 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%!PS-AdobeFont-1.1: CMR17 1.0 %%CreationDate: 1991 Aug 20 16:38:24 % 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 (CMR17) readonly def /FamilyName (Computer Modern) readonly def /Weight (Medium) readonly def /ItalicAngle 0 def /isFixedPitch false def end readonly def /FontName /CMR17 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 12 /fi put dup 65 /A put dup 69 /E put dup 70 /F put dup 80 /P put dup 83 /S put dup 84 /T put dup 97 /a put dup 99 /c put dup 100 /d put dup 101 /e put dup 102 /f put dup 103 /g put dup 104 /h put dup 105 /i put dup 108 /l put dup 110 /n put dup 111 /o put dup 112 /p put dup 114 /r put dup 115 /s put dup 116 /t put dup 117 /u put dup 119 /w put readonly def /FontBBox{-33 -250 945 749}readonly def /UniqueID 5000795 def currentdict end currentfile eexec D9D66F633B846A97B686A97E45A3D0AA052A014267B7904EB3C0D3BD0B83D891 016CA6CA4B712ADEB258FAAB9A130EE605E61F77FC1B738ABC7C51CD46EF8171 9098D5FEE67660E69A7AB91B58F29A4D79E57022F783EB0FBBB6D4F4EC35014F D2DECBA99459A4C59DF0C6EBA150284454E707DC2100C15B76B4C19B84363758 469A6C558785B226332152109871A9883487DD7710949204DDCF837E6A8708B8 2BDBF16FBC7512FAA308A093FE5F075EA0A10A15B0ED05D5039DA41B32B16E95 A3CE9725A429B35BAD796912FC328E3A28F96FCADA20A598E247755E7E7FF801 BDB00E9B9B086BDBE6EDCF841A3EAFC6F5284FED3C634085BA4EE0FC6A026E96 96D55575481B007BF93CA452EE3F71D83FAAB3D9DEDD2A8F96C5840EAE5BE5DC 9322E81DFF5E250DEB386E12A49FC9FBF9B4C25C3283F3CEA74B8278A1B09DA7 E9AE4FBAAF23EDF5A3E07D39385D521547C3AAAB8EB70549756EBA8EF445AF4A 497CA924ACCC3DD5456F8E2C7E36946A5BF14E2E959895F7C94F49137256BE46 4A238684D52792234869EAE1A6D8ADF4E138B79472D2A90A6CA99E2394CC20CD 3841733046175B20CEBE372327BF13428EED6A3E2FDF84C2DBA4B0AD584EE9DF B51828D3B8F385846158C29C9AC3496CB9692DD10219697B2ED4D425C3957FD8 C4600D76E045C561216EF05D38177243C314877A69A1C22E3BEC611A2EE5A216 9B7C264CF6D1839DBBD78A40610F2C0D7C2FE09FFA9822FF55035AD52546970F 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1425 m gs 1 -1 sc (y3) col0 sh gr /Times-Roman ff 180.00 scf sf 3600 1425 m gs 1 -1 sc (y2) col0 sh gr % Polyline 0 slj n 7800 4800 m 8100 5400 l gs col0 s gr % Polyline n 7800 4200 m 8400 5400 l gs col0 s gr % Polyline n 7800 3600 m 8700 5400 l gs col0 s gr % Polyline n 7800 3000 m 9000 5400 l gs col0 s gr % Polyline n 8100 3000 m 9300 5400 l gs col0 s gr % Polyline n 8400 3000 m 9300 4800 l gs col0 s gr % Polyline n 8700 3000 m 9300 4200 l gs col0 s gr % Polyline n 9000 3000 m 9300 3600 l gs col0 s gr % Polyline n 7800 5100 m 9300 5100 l gs col0 s gr % Polyline n 7800 4500 m 9300 4500 l gs col0 s gr % Polyline n 7800 3900 m 9300 3900 l gs col0 s gr % Polyline n 7800 3300 m 9300 3300 l gs col0 s gr % Polyline gs clippath 9915 5760 m 9915 5640 l 9644 5640 l 9884 5700 l 9644 5760 l cp eoclip n 1200 5700 m 9900 5700 l gs col0 s gr gr % arrowhead n 9644 5760 m 9884 5700 l 9644 5640 l 9644 5760 l cp gs 0.00 setgray ef gr col0 s % Polyline n 5700 5625 m 5700 5775 l gs col0 s gr % Polyline n 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a Fs(N)38 b Fw(=)28 b(4)1057 180 y } 4/Place PSfrag 1057 180 a 1057 297 a { 1057 297 a 800 327 a Fs(N)33 b Fw(+)22 b(1)1057 297 y } 5/Place PSfrag 1057 297 a 1029 434 a { 1029 434 a 1001 455 a Fs(x)1029 434 y } 6/Place PSfrag 1029 434 a 1019 541 a { 1019 541 a 981 575 a Fs(U)1019 541 y } 7/Place PSfrag 1019 541 a 1028 674 a { 1028 674 a 999 696 a Fs(n)1028 674 y } 8/Place PSfrag 1028 674 a 1033 784 a { 1033 784 a 1009 816 a Fw(0)1033 784 y } 9/Place PSfrag 1033 784 a 1013 905 a { 1013 905 a 969 917 a Fs(y)1017 932 y Fp(1)1013 905 y } 10/Place PSfrag 1013 905 a 1013 1026 a { 1013 1026 a 969 1038 a Fs(y)1017 1053 y Fp(2)1013 1026 y } 11/Place PSfrag 1013 1026 a 1013 1146 a { 1013 1146 a 969 1158 a Fs(y)1017 1173 y Fp(3)1013 1146 y } 12/Place PSfrag 1013 1146 a 1013 1267 a { 1013 1267 a 969 1279 a Fs(y)1017 1294 y Fp(4)1013 1267 y } 13/Place PSfrag 1013 1267 a 1013 1387 a { 1013 1387 a 969 1399 a Fs(y)1017 1414 y Fp(5)1013 1387 y } 14/Place PSfrag 1013 1387 a 257 1622 a Fw(Figure)38 b(2:)53 b(LGV)37 b(sc)m(heme)j(for)d Fs(N)47 b Fw(=)36 b(4.)59 b(The)38 b(LGV)g(graph)f(is)h(left/up-left)g(directed)257 1742 y(with)c(w)m(eigh)m(t)f(1)g(for)f(eac)m(h)h(edge.)44 b(F)-8 b(rom)32 b Fs(N)44 b Fw(to)32 b Fs(N)g Fw(+)22 b(1)33 b(the)g(transitions)g(are)g(the)g Fs(F)14 b Fw('s.)257 2110 y Fi(Lemma)47 b(3.4.)e Fx(Assume)40 b(we)g(have)g(a)g(signe)-5 b(d)40 b(me)-5 b(asur)g(e)40 b(on)g Fq(f)p Fs(x)2653 2074 y Fr(n)2653 2134 y(i)2700 2110 y Fs(;)17 b(n)38 b Fw(=)g(1)p Fs(;)17 b(:)g(:)g(:)e(;)i(N)5 b(;)17 b(i)38 b Fw(=)257 2230 y(1)p Fs(;)17 b(:)g(:)g(:)f(;)h(n)p Fq(g)35 b Fx(given)f(in)g(the)h(form,)629 2431 y Fw(1)p 587 2476 135 4 v 587 2567 a Fs(Z)654 2582 y Fr(N)747 2374 y(N)7 b Fo(\000)p Fp(1)760 2404 y Fj(Y)757 2613 y Fr(n)p Fp(=1)917 2499 y Fw(det)q([)p Fs(\036)1138 2514 y Fr(n)1184 2499 y Fw(\()p Fs(x)1277 2458 y Fr(n)1277 2523 y(i)1325 2499 y Fs(;)17 b(x)1424 2457 y Fr(n)p Fp(+1)1424 2524 y Fr(j)1561 2499 y Fw(\)])1626 2514 y Fp(1)p Fo(\024)p Fr(i;j)t Fo(\024)p Fr(n)p 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Fp(1)2589 5261 y Fw(\)\010)2697 5217 y Fr(n)2740 5226 y Fl(2)2697 5288 y Fr(n)2740 5297 y Fl(2)2775 5288 y Fo(\000)p Fr(k)2872 5261 y Fw(\()p Fs(x)2965 5276 y Fp(2)3005 5261 y Fw(\))p Fs(:)176 b Fw(\(3.25\))1828 5637 y(14)p eop end %%Page: 15 15 TeXDict begin 15 14 bop 404 573 a Fi(Remark:)62 b Fw(without)42 b(Assumption)i(\(A\),)e(the)g(correlations)g(functions)h(are)f(still) 257 693 y(determinan)m(tal)36 b(but)e(the)g(form)m(ula)g(is)h(mo)s (di\014ed)g(as)f(follo)m(ws.)48 b(Let)34 b Fs(M)45 b Fw(b)s(e)34 b(the)h Fs(N)e Fq(\002)24 b Fs(N)257 814 y Fw(dimensional)34 b(matrix)f(de\014ned)h(b)m(y)g([)p Fs(M)10 b Fw(])1741 829 y Fr(i;j)1850 814 y Fw(=)27 b(\()p Fs(\036)2049 829 y Fr(i)p Fo(\000)p Fp(1)2189 814 y Fq(\003)22 b Fs(\036)2319 777 y Fp(\()p Fr(i;N)7 b Fp(\))2507 814 y Fq(\003)22 b Fw(\011)2655 777 y Fr(N)2655 839 y(N)7 b Fo(\000)p Fr(j)2809 814 y Fw(\)\()p Fs(x)2940 772 y Fr(i)p Fo(\000)p Fp(1)2940 839 y Fr(i)3059 814 y Fw(\).)43 b(Then)562 980 y Fs(K)7 b Fw(\()p Fs(n)748 995 y Fp(1)788 980 y Fs(;)17 b(x)887 995 y Fp(1)926 980 y Fw(;)g Fs(n)1028 995 y Fp(2)1068 980 y Fs(;)g(x)1167 995 y Fp(2)1206 980 y Fw(\))2002 b(\(3.26\))403 1218 y(=)83 b Fq(\000)p Fs(\036)697 1176 y Fp(\()p Fr(n)767 1185 y Fl(1)802 1176 y Fr(;n)865 1185 y Fl(2)899 1176 y Fp(\))931 1218 y Fw(\()p Fs(x)1024 1233 y Fp(1)1063 1218 y Fs(;)17 b(x)1162 1233 y Fp(2)1202 1218 y Fw(\))22 b(+)1393 1093 y Fr(n)1436 1102 y Fl(2)1360 1123 y Fj(X)1368 1335 y Fr(k)r Fp(=1)1521 1218 y Fw(\011)1597 1174 y Fr(n)1640 1183 y Fl(1)1597 1245 y Fr(n)1640 1254 y Fl(1)1674 1245 y Fo(\000)p Fr(k)1771 1218 y Fw(\()p Fs(x)1864 1233 y Fp(1)1904 1218 y Fw(\))1999 1093 y Fr(N)1959 1123 y Fj(X)1975 1335 y Fr(l)q Fp(=1)2103 1218 y Fw([)p Fs(M)2234 1176 y Fo(\000)p Fp(1)2329 1218 y Fw(])2356 1233 y Fr(k)r(;l)2440 1218 y Fw(\()p Fs(\036)2536 1233 y Fr(l)q Fo(\000)p Fp(1)2674 1218 y Fq(\003)g Fs(\036)2804 1176 y Fp(\()p Fr(l)q(;n)2916 1185 y Fl(2)2950 1176 y Fp(\))2982 1218 y Fw(\)\()p Fs(x)3113 1176 y Fr(l)q Fo(\000)p Fp(1)3113 1245 y Fr(l)3229 1218 y Fs(;)17 b(x)3328 1233 y Fp(2)3368 1218 y Fw(\))p Fs(:)257 1478 y Fx(Pr)-5 b(o)g(of)45 b(of)g(L)-5 b(emma)44 b(3.4.)f Fw(W)-8 b(e)44 b(apply)g(Prop)s(osition) g(1.2)f(of)h([3])f(and)h(w)m(e)g(try)g(to)g(stic)m(k)257 1598 y(as)e(m)m(uc)m(h)i(as)e(p)s(ossible)h(to)f(the)g(notations)g (therein.)73 b(Let,)44 b(for)d Fs(n)j Fw(=)g(1)p Fs(;)17 b(:)g(:)g(:)e(;)i(N)10 b Fw(,)45 b Fe(X)3394 1562 y Fp(\()p Fr(n)p Fp(\))257 1719 y Fw(denote)53 b(the)e(space)i(of)e Fq(f)p Fs(x)1292 1682 y Fr(n)1292 1743 y(i)1339 1719 y Fs(;)17 b(i)60 b Fw(=)f(1)p Fs(;)17 b(:)g(:)g(:)f(;)h(n)p Fq(g)p Fw(,)56 b Fe(Y)k Fw(=)f Fe(X)2420 1682 y Fp(\(1\))2549 1719 y Fq([)36 b Fs(:)17 b(:)g(:)34 b Fq([)h Fe(X)2973 1682 y Fp(\()p Fr(N)7 b Fp(\))3095 1719 y Fw(,)56 b(and)c(let)257 1839 y Fe(X)28 b Fw(=)f Fq(f)p Fs(x)565 1803 y Fp(0)565 1864 y(1)605 1839 y Fs(;)17 b(x)704 1803 y Fp(1)704 1864 y(2)743 1839 y Fs(;)g(:)g(:)g(:)f(;)h(x)1017 1798 y Fr(N)7 b Fo(\000)p Fp(1)1017 1866 y Fr(N)1175 1839 y Fq(g)22 b([)g Fe(Y)33 b Fw(b)s(e)h(the)f(space)h(on)f(whic)m(h)i(our)e(measure) h(\(3.20\))f(is)g(de-)257 1959 y(\014ned.)45 b(Let)33 b Fs(T)780 1923 y Fp(\()p Fr(n;n)p Fp(+1\))1066 1959 y Fw(b)s(e)g(the)g(matrix)g(with)g(en)m(tries)850 2125 y([)p Fs(T)948 2084 y Fp(\()p Fr(n;m)p Fp(\))1132 2125 y Fw(])1159 2140 y Fr(i;j)1267 2125 y Fw(=)27 b Fs(\036)1428 2084 y Fp(\()p Fr(n;n)p Fp(+1\))1682 2125 y Fw(\()p Fs(x)1775 2084 y Fr(n)1775 2150 y(i)1823 2125 y Fs(;)17 b(x)1922 2084 y Fr(n)p Fp(+1)1922 2151 y Fr(j)2059 2125 y Fw(\))p Fs(;)114 b Fw(1)28 b Fq(\024)g Fs(i;)17 b(j)33 b Fq(\024)28 b Fs(n)23 b Fw(+)f(1)343 b(\(3.27\))257 2291 y(and)1086 2412 y([\011)1189 2371 y Fp(\()p Fr(N)7 b Fp(\))1311 2412 y Fw(])1338 2427 y Fr(i;j)1446 2412 y Fw(=)27 b(\011)1625 2371 y Fr(N)1625 2436 y(N)7 b Fo(\000)p Fr(j)1780 2412 y Fw(\()p Fs(x)1873 2371 y Fr(N)1873 2436 y(i)1940 2412 y Fw(\))p Fs(;)114 b Fw(1)28 b Fq(\024)g Fs(i;)17 b(j)34 b Fq(\024)28 b Fs(N)5 b(:)579 b Fw(\(3.28\))257 2563 y(Then)34 b(the)f(w)m(eigh)m(t)h(\(3.20\))e(is)h(prop)s(ortional)f(to)g (the)h(determinan)m(t)h(of)896 2646 y Fj(2)896 2821 y(6)896 2881 y(6)896 2941 y(6)896 3000 y(6)896 3060 y(6)896 3124 y(4)1079 2731 y Fw(0)157 b Fq(\000)p Fs(T)1433 2695 y Fp(\(1)p Fr(;)p Fp(2\))1790 2731 y Fw(0)207 b Fq(\001)17 b(\001)g(\001)295 b Fw(0)1079 2853 y(0)281 b(0)207 b Fq(\000)p Fs(T)1813 2817 y Fp(\(2)p Fr(;)p Fp(3\))2046 2853 y Fq(\001)17 b(\001)g(\001)295 b Fw(0)1089 2949 y(.)1089 2982 y(.)1089 3015 y(.)1420 2949 y(.)1420 2982 y(.)1420 3015 y(.)1801 2949 y(.)1801 2982 y(.)1801 3015 y(.)2061 2957 y(.)2099 2982 y(.)2137 3007 y(.)2470 2949 y(.)2470 2982 y(.)2470 3015 y(.)1079 3137 y(0)281 b(0)332 b(0)207 b Fq(\001)17 b(\001)g(\001)98 b(\000)p Fs(T)2410 3101 y Fp(\()p Fr(N)7 b Fo(\000)p Fp(1)p Fr(;N)g Fp(\))1004 3260 y Fw(\011)1080 3223 y Fp(\()p Fr(N)g Fp(\))1409 3260 y Fw(0)332 b(0)249 b(0)322 b(0)2746 2646 y Fj(3)2746 2821 y(7)2746 2881 y(7)2746 2941 y(7)2746 3000 y(7)2746 3060 y(7)2746 3124 y(5)2829 2995 y Fs(:)390 b Fw(\(3.29\))404 3422 y(W)-8 b(e)30 b(are)g(in)m(terested)i(in)e(the)h(measure)g(on)f Fe(Y)g Fw(only)-8 b(,)31 b(th)m(us)g(w)m(e)g(c)m(hange)g(the)f (ordering)257 3543 y(b)m(y)44 b(putting)f(the)h(v)-5 b(ariables)44 b Fs(x)1409 3507 y Fp(0)1409 3567 y(1)1448 3543 y Fs(;)17 b(:)g(:)g(:)f(;)h(x)1722 3501 y Fr(N)7 b Fo(\000)p Fp(1)1722 3570 y Fr(N)1923 3543 y Fw(at)42 b(the)i(b)s(eginning.)75 b(Let)43 b(us)h(de\014ne)g(the)257 3663 y Fs(n)23 b Fq(\002)f Fw(\()p Fs(n)h Fw(+)f(1\))32 b(matrix)h Fs(W)1182 3679 y Fp([)p Fr(n;n)p Fp(+1\))1461 3663 y Fw(b)m(y)483 3840 y([)p Fs(W)602 3855 y Fp([)p Fr(n;n)p Fp(+1\))849 3840 y Fw(])876 3855 y Fr(i;j)984 3840 y Fw(=)28 b Fs(\036)1146 3799 y Fp(\()p Fr(n;n)p Fp(+1\))1400 3840 y Fw(\()p Fs(x)1493 3799 y Fr(n)1493 3865 y(i)1540 3840 y Fs(;)17 b(x)1639 3799 y Fr(n)p Fp(+1)1639 3865 y Fr(j)1776 3840 y Fw(\))p Fs(;)115 b Fw(1)27 b Fq(\024)h Fs(i)g Fq(\024)g Fs(n;)17 b Fw(1)28 b Fq(\024)g Fs(j)34 b Fq(\024)28 b Fs(n)22 b Fw(+)g(1)p Fs(;)226 b Fw(\(3.30\))257 4006 y(and)33 b(the)g Fs(N)g Fq(\002)22 b Fw(\()p Fs(m)h Fw(+)f(1\))32 b(matrix)h Fs(E)1577 4021 y Fr(m)1676 4006 y Fw(b)m(y)524 4231 y([)p Fs(E)623 4246 y Fr(m)690 4231 y Fw(])717 4246 y Fr(i;j)825 4231 y Fw(=)929 4091 y Fj(\032)1045 4169 y Fs(\036)1103 4184 y Fr(m)1169 4169 y Fw(\()p Fs(x)1262 4133 y Fr(m)1262 4194 y(m)p Fp(+1)1419 4169 y Fs(;)17 b(x)1518 4128 y Fr(m)p Fp(+1)1518 4195 y Fr(j)1675 4169 y Fw(\))p Fs(;)83 b(i)28 b Fw(=)g Fs(m)22 b Fw(+)g(1)p Fs(;)17 b Fw(1)27 b Fq(\024)h Fs(j)34 b Fq(\024)28 b Fs(m)23 b Fw(+)f(1)p Fs(;)1045 4292 y Fw(0)p Fs(;)702 b Fw(otherwise)r Fs(:)3246 4231 y Fw(\(3.31\))257 4456 y(Then)37 b(the)g(w)m(eigh)m(t)g(\(3.20\))e(is)i(prop)s(ortional)e (to)g(a)h(suitable)h(symmetric)h(minor)e(of)g Fs(L)p Fw(,)257 4577 y(with)555 5059 y Fs(L)28 b Fw(=)753 4650 y Fj(2)753 4825 y(6)753 4885 y(6)753 4945 y(6)753 5004 y(6)753 5064 y(6)753 5124 y(6)753 5184 y(6)753 5247 y(4)935 4715 y Fw(0)158 b Fs(E)1214 4730 y Fp(0)1436 4715 y Fs(E)1508 4730 y Fp(1)1830 4715 y Fs(E)1902 4730 y Fp(2)2133 4715 y Fs(:)17 b(:)g(:)206 b(E)2526 4730 y Fr(N)7 b Fo(\000)p Fp(1)935 4835 y Fw(0)189 b(0)114 b Fq(\000)p Fs(W)1505 4851 y Fp([1)p Fr(;)p Fp(2\))1861 4835 y Fw(0)214 b Fq(\001)17 b(\001)g(\001)302 b Fw(0)935 4997 y(0)189 b(0)245 b(0)214 b Fq(\000)p Fs(W)1899 5013 y Fp([2)p Fr(;)p Fp(3\))2139 4939 y Fw(.)2177 4964 y(.)2215 4989 y(.)2555 4931 y(.)2555 4964 y(.)2555 4997 y(.)946 5093 y(.)946 5126 y(.)946 5159 y(.)1184 5093 y(.)1184 5126 y(.)1184 5159 y(.)1478 5093 y(.)1478 5126 y(.)1478 5159 y(.)1834 5101 y(.)1872 5126 y(.)1910 5151 y(.)2139 5101 y(.)2177 5126 y(.)2215 5151 y(.)2544 5159 y(0)935 5280 y(0)189 b(0)245 b(0)345 b(0)214 b Fq(\001)17 b(\001)g(\001)98 b(\000)p Fs(W)2509 5295 y Fp([)p Fr(N)7 b Fo(\000)p Fp(1)p Fr(;N)g Fp(\))860 5402 y Fw(\011)936 5366 y Fp(\()p Fr(N)g Fp(\))1173 5402 y Fw(0)245 b(0)345 b(0)214 b Fq(\001)17 b(\001)g(\001)302 b Fw(0)2838 4650 y Fj(3)2838 4825 y(7)2838 4885 y(7)2838 4945 y(7)2838 5004 y(7)2838 5064 y(7)2838 5124 y(7)2838 5184 y(7)2838 5247 y(5)2921 5059 y Fs(:)c Fw(\(3.32\))1828 5637 y(15)p eop end %%Page: 16 16 TeXDict begin 16 15 bop 404 573 a Fw(By)34 b(Prop)s(osition)g(1.2)g(of) f([3],)i(the)f(p)s(oin)m(t-measure)h(on)f Fe(Y)g Fw(is)g(determinan)m (tal)i(with)257 693 y(correlation)d(k)m(ernel)h(giv)m(en)g(b)m(y)1303 926 y Fs(K)h Fw(=)27 b Fv(1)1582 941 y Fd(Y)1666 926 y Fq(\000)c Fw(\()p Fv(1)1862 941 y Fd(Y)1946 926 y Fw(+)f Fs(L)p Fw(\))2148 885 y Fo(\000)p Fp(1)2242 811 y Fj(\014)2242 871 y(\014)2242 931 y(\014)2276 995 y Fd(Y)p Fo(\002)p Fd(Y)3246 926 y Fw(\(3.33\))257 1175 y(pro)m(vided)44 b(that)f(the)g(partition)f(function)h Fs(Z)1943 1190 y Fr(N)2055 1175 y Fq(6)p Fw(=)h(0.)73 b(With)43 b(the)g(decomp)s (osition)h(of)257 1296 y Fe(X)28 b Fw(=)f Fq(f)p Fs(x)565 1259 y Fp(0)565 1320 y(1)605 1296 y Fs(;)17 b(x)704 1259 y Fp(1)704 1320 y(2)743 1296 y Fs(;)g(:)g(:)g(:)f(;)h(x)1017 1254 y Fr(N)7 b Fo(\000)p Fp(1)1017 1323 y Fr(N)1175 1296 y Fq(g)22 b([)g Fe(Y)p Fw(,)33 b(w)m(e)h(ha)m(v)m(e)f(a)g(blo)s(c) m(k)g(decomp)s(osition)h(of)e Fs(L)h Fw(as)1543 1567 y Fs(L)28 b Fw(=)1741 1426 y Fj(\024)1849 1506 y Fw(0)118 b Fs(B)1835 1626 y(C)90 b(D)2076 1641 y Fp(0)2157 1426 y Fj(\025)3246 1567 y Fw(\(3.34\))257 1847 y(with)38 b Fs(B)j Fw(=)36 b([)p Fs(E)810 1862 y Fp(0)850 1847 y Fs(;)17 b(:)g(:)g(:)f(;)h(E)1141 1862 y Fr(N)7 b Fo(\000)p Fp(1)1298 1847 y Fw(],)39 b Fs(C)j Fw(=)36 b([0)p Fs(;)17 b(:)g(:)g(:)f(;)h Fw(0)p Fs(;)g Fw(\011)2079 1810 y Fp(\()p Fr(N)7 b Fp(\))2200 1847 y Fw(])2227 1810 y Fr(t)2257 1847 y Fw(,)38 b(and)g Fs(D)2598 1862 y Fp(0)2675 1847 y Fw(equal)g(to)f Fs(L)h Fw(without)257 1967 y(the)30 b(\014rst)f(line)g(and)g(column)g(of)g(the)g(blo)s(c)m(k)g(represen)m (tation)i(\(3.32\).)41 b(Let)29 b Fs(D)i Fw(=)c Fv(1)14 b Fw(+)g Fs(D)3428 1982 y Fp(0)3468 1967 y Fw(,)257 2087 y(then)34 b(\(see,)f(e.g.,)g(Lemma)g(1.5)g(of)f([3]\))g(the)h(k)m (ernel)h(is)f(giv)m(en)h(b)m(y)804 2298 y Fs(K)h Fw(=)28 b Fv(1)22 b Fq(\000)h Fs(D)1290 2257 y Fo(\000)p Fp(1)1406 2298 y Fw(+)f Fs(D)1588 2257 y Fo(\000)p Fp(1)1682 2298 y Fs(C)7 b(M)1863 2257 y Fo(\000)p Fp(1)1958 2298 y Fs(B)e(D)2121 2257 y Fo(\000)p Fp(1)2215 2298 y Fs(;)114 b(M)39 b Fw(=)27 b Fs(B)5 b(D)2755 2257 y Fo(\000)p Fp(1)2850 2298 y Fs(C)r(:)297 b Fw(\(3.35\))257 2509 y Fs(D)341 2473 y Fo(\000)p Fp(1)468 2509 y Fw(w)m(as)33 b(already)h(computed)f(in)g(Lemma)g(1.5)g(of)f ([3],)g(with)h(the)g(result)1065 2940 y Fs(D)1149 2899 y Fo(\000)p Fp(1)1271 2940 y Fw(=)1375 2650 y Fj(2)1375 2825 y(6)1375 2885 y(6)1375 2945 y(6)1375 3009 y(4)1483 2717 y Fv(1)83 b Fs(W)1716 2732 y Fp([1)p Fr(;)p Fp(2\))1940 2717 y Fq(\001)17 b(\001)g(\001)157 b Fs(W)2307 2732 y Fp([1)p Fr(;N)7 b Fp(\))1487 2879 y Fw(0)176 b Fv(1)1955 2821 y Fw(.)1993 2846 y(.)2031 2871 y(.)2332 2812 y(.)2332 2846 y(.)2332 2879 y(.)1498 2974 y(.)1498 3008 y(.)1498 3041 y(.)1689 2983 y(.)1727 3008 y(.)1765 3033 y(.)1955 2983 y(.)1993 3008 y(.)2031 3033 y(.)2156 3041 y Fs(W)2248 3056 y Fp([)p Fr(N)7 b Fo(\000)p Fp(1)p Fr(;N)g Fp(\))1487 3161 y Fw(0)180 b(0)217 b(0)286 b Fv(1)2577 2650 y Fj(3)2577 2825 y(7)2577 2885 y(7)2577 2945 y(7)2577 3009 y(5)2660 2940 y Fs(;)559 b Fw(\(3.36\))257 3365 y(where)953 3519 y Fs(W)1045 3534 y Fp([)p Fr(n;m)p Fp(\))1249 3519 y Fw(=)1352 3378 y Fj(\032)1469 3458 y Fs(W)1561 3473 y Fp([)p Fr(n;n)p Fp(+1\))1824 3458 y Fq(\001)17 b(\001)g(\001)e Fs(W)2049 3473 y Fp([)p Fr(m)p Fo(\000)p Fp(1)p Fr(;m)p Fp(\))2335 3458 y Fs(;)84 b(m)28 b(>)f(n;)1877 3578 y Fw(0)p Fs(;)492 b(m)28 b Fq(\024)g Fs(n:)3246 3519 y Fw(\(3.37\))257 3751 y(Th)m(us)34 b(the)f(\()p Fs(n;)17 b(m)p Fw(\))33 b(blo)s(c)m(k)h(of)e Fv(1)22 b Fq(\000)h Fs(D)1601 3715 y Fo(\000)p Fp(1)1727 3751 y Fw(is)33 b Fs(W)1917 3767 y Fp([)p Fr(n;m)p Fp(\))2093 3751 y Fw(.)44 b(Next,)33 b(w)m(e)h(ha)m(v)m(e)1265 4176 y Fs(D)1349 4135 y Fo(\000)p Fp(1)1443 4176 y Fs(C)g Fw(=)1651 3886 y Fj(2)1651 4062 y(6)1651 4121 y(6)1651 4181 y(6)1651 4245 y(4)1818 3974 y Fs(W)1910 3989 y Fp([1)p Fr(;N)7 b Fp(\))2079 3974 y Fw(\011)2155 3938 y Fp(\()p Fr(N)g Fp(\))2034 4070 y Fw(.)2034 4103 y(.)2034 4136 y(.)1759 4258 y Fs(W)1851 4274 y Fp([)p Fr(N)g Fo(\000)p Fp(1)p Fr(;N)g Fp(\))2138 4258 y Fw(\011)2214 4222 y Fp(\()p Fr(N)g Fp(\))1976 4378 y Fw(\011)2052 4342 y Fr(N)2378 3886 y Fj(3)2378 4062 y(7)2378 4121 y(7)2378 4181 y(7)2378 4245 y(5)2461 4176 y Fs(;)758 b Fw(\(3.38\))257 4588 y(and)368 4799 y Fs(B)5 b(D)531 4758 y Fo(\000)p Fp(1)653 4799 y Fw(=)756 4718 y Fj(\002)840 4803 y Fs(E)912 4818 y Fp(0)1034 4803 y Fs(E)1106 4818 y Fp(0)1146 4803 y Fs(W)1238 4818 y Fp([1)p Fr(;)p Fp(2\))1401 4803 y Fw(+)22 b Fs(E)1571 4818 y Fp(1)1694 4803 y Fq(\001)17 b(\001)g(\001)1910 4728 y Fj(P)2015 4754 y Fr(N)7 b Fo(\000)p Fp(1)2015 4832 y Fr(k)r Fp(=1)2189 4803 y Fs(E)2261 4818 y Fr(k)r Fo(\000)p Fp(1)2394 4803 y Fs(W)2486 4818 y Fp([)p Fr(k)r(;N)g Fp(\))2681 4803 y Fw(+)22 b Fs(E)2851 4818 y Fr(N)7 b Fo(\000)p Fp(1)3050 4718 y Fj(\003)3108 4799 y Fs(:)111 b Fw(\(3.39\))257 5010 y(Therefore)34 b(the)f(\()p Fs(n;)17 b(m)p Fw(\))33 b(blo)s(c)m(k)g(of)f(the)h(correlation)g(k)m(ernel)h(is) f(giv)m(en)h(b)m(y)408 5310 y Fs(K)498 5269 y Fp(\()p Fr(n;m)p Fp(\))710 5310 y Fw(=)27 b Fq(\000)p Fs(W)982 5326 y Fp([)p Fr(n;m)p Fp(\))1181 5310 y Fw(+)22 b Fs(W)1371 5326 y Fp([)p Fr(n;N)7 b Fp(\))1548 5310 y Fw(\011)1624 5269 y Fp(\()p Fr(N)g Fp(\))1746 5310 y Fs(M)1850 5269 y Fo(\000)p Fp(1)1945 5200 y Fj(\020)2021 5186 y Fr(m)p Fo(\000)p Fp(1)2026 5216 y Fj(X)2033 5428 y Fr(k)r Fp(=1)2190 5310 y Fs(E)2262 5325 y Fr(k)r Fo(\000)p Fp(1)2396 5310 y Fs(W)2488 5326 y Fp([)p Fr(k)r(;m)p Fp(\))2681 5310 y Fw(+)22 b Fs(E)2851 5325 y Fr(m)p Fo(\000)p Fp(1)3008 5200 y Fj(\021)3068 5310 y Fs(:)151 b Fw(\(3.40\))1828 5637 y(16)p eop end %%Page: 17 17 TeXDict begin 17 16 bop 257 573 a Fw(Using)45 b(\(3.21\))f(one)g(gets)h ([)p Fs(W)1359 588 y Fp([)p Fr(n;m)p Fp(\))1535 573 y Fw(])1562 588 y Fr(i;j)1690 573 y Fw(=)i Fs(\036)1871 537 y Fp(\()p Fr(n;m)p Fp(\))2055 573 y Fw(\()p Fs(x)2148 537 y Fr(n)2148 597 y(i)2195 573 y Fs(;)17 b(x)2294 537 y Fr(m)2294 597 y(j)2361 573 y Fw(\).)78 b(Moreo)m(v)m(er)46 b(b)m(y)f(\(3.22\))e(w)m(e)257 693 y(ha)m(v)m(e)596 893 y([)p Fs(W)715 908 y Fp([)p Fr(n;N)7 b Fp(\))892 893 y Fw(\011)968 852 y Fp(\()p Fr(N)g Fp(\))1090 893 y Fw(])1117 908 y Fr(i;j)1225 893 y Fw(=)1328 798 y Fj(X)1381 1007 y Fr(y)1489 893 y Fs(\036)1547 852 y Fp(\()p Fr(n;m)p Fp(\))1730 893 y Fw(\()p Fs(x)1823 852 y Fr(n)1823 917 y(i)1871 893 y Fs(;)17 b(y)t Fw(\)\011)2081 852 y Fr(N)2081 917 y(N)7 b Fo(\000)p Fr(j)2234 893 y Fw(\()p Fs(y)t Fw(\))26 b(=)i(\011)2568 852 y Fr(n)2568 917 y(n)p Fo(\000)p Fr(j)2702 893 y Fw(\()p Fs(x)2795 852 y Fr(n)2795 917 y(i)2842 893 y Fw(\))p Fs(:)339 b Fw(\(3.41\))257 1192 y(It)27 b(remains)h(to)f(ev)-5 b(aluate)27 b(the)g(last)g(part)g(of)f (\(3.40\).)41 b(F)-8 b(or)26 b(the)h(follo)m(wing)g Fs(N)21 b Fq(\002)10 b Fs(m)28 b Fw(matrix)257 1313 y(w)m(e)34 b(ha)m(v)m(e)259 1467 y Fj(h)323 1453 y Fr(m)p Fo(\000)p Fp(1)327 1483 y Fj(X)335 1695 y Fr(k)r Fp(=1)492 1577 y Fs(E)564 1592 y Fr(k)r Fo(\000)p Fp(1)697 1577 y Fs(W)789 1593 y Fp([)p Fr(k)r(;m)p Fp(\))983 1577 y Fw(+)22 b Fs(E)1153 1592 y Fr(m)p Fo(\000)p Fp(1)1310 1467 y Fj(i)1357 1646 y Fr(i;j)1465 1577 y Fw(=)1568 1437 y Fj(\032)1684 1516 y Fw(\()p Fs(\036)1780 1531 y Fr(i)p Fo(\000)p Fp(1)1921 1516 y Fq(\003)g Fs(\036)2051 1480 y Fp(\()p Fr(i;m)p Fp(\))2215 1516 y Fw(\)\()p Fs(x)2346 1475 y Fr(i)p Fo(\000)p Fp(1)2346 1542 y Fr(i)2465 1516 y Fs(;)17 b(x)2564 1480 y Fr(m)2564 1541 y(j)2631 1516 y Fw(\))p Fs(;)83 b Fw(1)27 b Fq(\024)h Fs(i)g Fq(\024)g Fs(m;)1684 1638 y Fw(0)p Fs(;)1019 b(m)22 b Fw(+)g(1)28 b Fq(\024)g Fs(i)g Fq(\024)g Fs(N)5 b(:)3246 1788 y Fw(\(3.42\))257 1908 y(Notice)37 b(that)g(the)f(functions)i(in)e(\(3.42\))g(form)g(a)g(basis)i(of)e Fs(V)2517 1923 y Fr(m)2583 1908 y Fw(.)55 b(Th)m(us)38 b(w)m(e)f(can)g(de\014ne)257 2029 y(a)32 b Fs(m)22 b Fq(\002)h Fs(m)32 b Fw(matrix)h Fs(B)1053 2044 y Fr(m)1152 2029 y Fw(whic)m(h)h(do)s(es)f(a)f(c)m(hange)h(of)f(basis)h(to)f Fq(f)p Fw(\010)2643 1992 y Fr(m)2643 2053 y(m)p Fo(\000)p Fp(1)2800 2029 y Fw(\()p Fs(x)p Fw(\))p Fs(;)17 b(:)g(:)g(:)f(;)h Fw(\010)3220 1992 y Fr(m)3220 2053 y Fp(0)3287 2029 y Fw(\()p Fs(x)p Fw(\))p Fq(g)p Fw(,)257 2149 y(namely)962 2340 y(\()p Fs(\036)1058 2355 y Fr(i)p Fo(\000)p Fp(1)1198 2340 y Fq(\003)22 b Fs(\036)1328 2299 y Fp(\()p Fr(i;m)p Fp(\))1493 2340 y Fw(\)\()p Fs(x)1624 2298 y Fr(i)p Fo(\000)p Fp(1)1624 2365 y Fr(i)1742 2340 y Fs(;)17 b(x)p Fw(\))28 b(=)2051 2215 y Fr(m)2010 2245 y Fj(X)2026 2457 y Fr(l)q Fp(=1)2154 2340 y Fw([)p Fs(B)2255 2355 y Fr(m)2322 2340 y Fw(])2349 2355 y Fr(i;l)2419 2340 y Fw(\010)2489 2299 y Fr(m)2489 2364 y(m)p Fo(\000)p Fr(l)2633 2340 y Fw(\()p Fs(x)p Fw(\))p Fs(:)455 b Fw(\(3.43\))257 2595 y(W)-8 b(e)33 b(m)m(ultiply)i(this)e(equation)g(b)m(y)1540 2521 y Fj(P)1645 2624 y Fr(x)1705 2595 y Fw(\011)1781 2559 y Fr(m)1781 2620 y(m)p Fo(\000)p Fr(j)1935 2595 y Fw(\()p Fs(x)p Fw(\))g(and)f(obtain)1088 2811 y([)p Fs(B)1189 2826 y Fr(m)1256 2811 y Fw(])1283 2826 y Fr(i;j)1391 2811 y Fw(=)c(\()p Fs(\036)1591 2826 y Fr(i)p Fo(\000)p Fp(1)1731 2811 y Fq(\003)22 b Fs(\036)1861 2770 y Fp(\()p Fr(i;m)p Fp(\))2048 2811 y Fq(\003)g Fw(\011)2196 2770 y Fr(m)2196 2836 y(m)p Fo(\000)p Fr(j)2349 2811 y Fw(\)\()p Fs(x)2480 2770 y Fr(i)p Fo(\000)p Fp(1)2480 2837 y Fr(i)2599 2811 y Fw(\))p Fs(:)582 b Fw(\(3.44\))257 3011 y(In)33 b(particular,)g(w)m(e)h(ha)m(v)m(e)g Fs(B)1299 3026 y Fr(N)1394 3011 y Fw(=)27 b Fs(M)10 b Fw(.)44 b(Let)33 b(us)g(de\014ne)h(the)f Fs(N)g Fq(\002)23 b Fs(m)32 b Fw(matrix)970 3263 y([\010)1067 3222 y Fp(\()p Fr(m)p Fp(\))1189 3263 y Fw(])1216 3278 y Fr(i;j)1324 3263 y Fw(=)1428 3123 y Fj(\032)1544 3202 y Fw(\010)1614 3166 y Fr(m)1614 3226 y(m)p Fo(\000)p Fr(i)1760 3202 y Fw(\()p Fs(x)1853 3166 y Fr(m)1853 3226 y(j)1920 3202 y Fw(\))p Fs(;)83 b Fw(1)27 b Fq(\024)h Fs(i)g Fq(\024)g Fs(m;)1544 3324 y Fw(0)p Fs(;)448 b(m)22 b Fw(+)g(1)28 b Fq(\024)g Fs(i)g Fq(\024)g Fs(N)5 b(:)3246 3263 y Fw(\(3.45\))257 3516 y(Then)582 3781 y Fs(M)686 3740 y Fo(\000)p Fp(1)781 3670 y Fj(\020)857 3656 y Fr(m)p Fo(\000)p Fp(1)861 3686 y Fj(X)869 3898 y Fr(k)r Fp(=1)1026 3781 y Fs(E)1098 3796 y Fr(k)r Fo(\000)p Fp(1)1231 3781 y Fs(W)1323 3796 y Fp([)p Fr(k)r(;m)p Fp(\))1517 3781 y Fw(+)22 b Fs(E)1687 3796 y Fr(m)p Fo(\000)p Fp(1)1844 3670 y Fj(\021)1931 3781 y Fw(=)28 b Fs(B)2114 3740 y Fo(\000)p Fp(1)2109 3808 y Fr(N)2225 3640 y Fj(\024)2319 3720 y Fs(B)2393 3735 y Fr(m)2543 3720 y Fw(0)2365 3840 y(0)129 b(0)2633 3640 y Fj(\025)2702 3781 y Fw(\010)2772 3740 y Fp(\()p Fr(m)p Fp(\))2894 3781 y Fs(:)325 b Fw(\(3.46\))404 4082 y(Assume)34 b(the)g(condition)f(\(B\):)g(\(3)p Fs(:)p Fw(46\))27 b(=)h(\010)2018 4046 y Fp(\()p Fr(m)p Fp(\))2173 4082 y Fw(for)k Fs(m)c Fw(=)g(1)p Fs(;)17 b(:)g(:)g(:)f(;)h(N)10 b Fw(.)44 b(Then)34 b(w)m(e)g(get)257 4202 y(the)41 b(simple)g(form)f (of)g(the)h(k)m(ernel,)i(\(3.25\),)f(of)d(the)i(Lemma.)67 b(Ho)m(w)m(ev)m(er,)44 b(this)d(is)f(not)257 4322 y(alw)m(a)m(ys)35 b(the)e(case.)44 b(F)-8 b(or)32 b(1)27 b Fq(\024)h Fs(i;)17 b(j)34 b Fq(\024)28 b Fs(m)p Fw(,)33 b(w)m(e)h(obtain)e(using)h (\(3.22\),)257 4522 y([)p Fs(B)358 4537 y Fr(m)425 4522 y Fw(])452 4537 y Fr(i;j)560 4522 y Fw(=)28 b(\()p Fs(\036)760 4537 y Fr(i)p Fo(\000)p Fp(1)897 4522 y Fq(\003)20 b Fs(\036)1025 4481 y Fp(\()p Fr(i;m)p Fp(\))1209 4522 y Fq(\003)g Fw(\011)1355 4481 y Fr(m)1355 4547 y(m)p Fo(\000)p Fr(j)1509 4522 y Fw(\)\()p Fs(x)1640 4481 y Fr(i)p Fo(\000)p Fp(1)1640 4547 y Fr(i)1758 4522 y Fw(\))28 b(=)f(\()p Fs(\036)2023 4537 y Fr(i)p Fo(\000)p Fp(1)2161 4522 y Fq(\003)20 b Fs(\036)2289 4481 y Fp(\()p Fr(i;N)7 b Fp(\))2474 4522 y Fq(\003)19 b Fw(\011)2619 4481 y Fr(N)2619 4547 y(N)7 b Fo(\000)p Fr(j)2774 4522 y Fw(\)\()p Fs(x)2905 4481 y Fr(i)p Fo(\000)p Fp(1)2905 4547 y Fr(i)3023 4522 y Fw(\))28 b(=)f([)p Fs(B)3293 4537 y Fr(N)3361 4522 y Fw(])3388 4537 y Fr(i;j)3468 4522 y Fs(:)3246 4642 y Fw(\(3.47\))257 4821 y(Th)m(us)45 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b(ariable)33 b(of)f(\011)810 1068 y Fr(n)810 1130 y(k)890 1104 y Fw(to)g(go)g(around)h Fq(\000)p Fw(1)f(b)m(y)i(setting)f Fs(u)27 b Fw(=)h Fs(w)c Fq(\000)f Fw(1.)43 b(This)34 b(leads)f(to)921 1388 y(\011)997 1347 y Fr(n)997 1412 y(k)1044 1388 y Fw(\()p Fs(x)p Fw(\))28 b(=)1317 1320 y(\()p Fq(\000)p Fw(1\))1519 1284 y Fr(k)p 1317 1365 245 4 v 1372 1456 a Fw(2)p Fs(\031)t Fw(i)1588 1252 y Fj(I)1643 1478 y Fp(\000)1687 1487 y Ff(\000)p Fl(1)1961 1320 y Fw(d)p Fs(u)p 1801 1365 431 4 v 1801 1456 a Fw(\(1)22 b(+)g Fs(u)p Fw(\))2102 1427 y Fr(z)s Fp(+1)2241 1388 y Fs(e)2286 1347 y Fr(ut)2357 1388 y Fw(\()p Fs(u)p Fw(\(1)f(+)h Fs(u)p Fw(\)\))2789 1347 y Fr(k)3246 1388 y Fw(\(4.10\))257 1671 y(with)39 b Fs(z)h Fw(=)c Fs(x)26 b Fw(+)g(2)p Fs(n)f Fq(\000)h Fw(2)p Fs(N)10 b Fw(.)59 b(W)-8 b(e)38 b(start)f(with)h(particles)h(at)e(p)s(ositions) h Fs(y)2944 1686 y Fr(i)3008 1671 y Fw(=)e(2)p Fs(N)g Fq(\000)26 b Fw(2)p Fs(i)p Fw(,)257 1791 y Fs(i)i Fw(=)g(1)p Fs(;)17 b(:)g(:)g(:)e(;)i Fw(2)p Fs(N)10 b 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Fw(1)p Fs(=)p Fw(2\))p Fq(O)s Fw(\()p Fs(e)3001 2442 y Fo(\000)p Fr(\026t)3128 2483 y Fw(\))p Fs(:)53 b Fw(\(5.17\))257 2703 y(The)34 b(c)m(hange)f(of)f(v)-5 b(ariable)33 b Fs(z)g Fw(=)27 b(2)p Fs(t)1522 2667 y Fp(1)p Fr(=)p Fp(3)1632 2703 y Fs(e)1677 2667 y Fo(\000)p Fp(i)p Fr(\031)r(=)p Fp(3)1870 2703 y Fs(w)34 b Fw(leads)g(then)f(to)602 2916 y Fq(\000)p Fs(t)714 2880 y Fp(1)p Fr(=)p Fp(3)p 602 2960 223 4 v 646 3052 a Fw(2)p Fs(\031)t Fw(i)851 2848 y Fj(Z)906 3073 y Fp(\000)950 3050 y Fk(\016)950 3095 y Fl(0)1006 2983 y Fw(d)p Fs(v)1129 2958 y Fj(e)1111 2983 y Fs(F)13 b Fw(\()p Fs(v)t Fw(\))83 b(=)1566 2916 y Fs(F)14 b Fw(\()p Fq(\000)p Fw(1)p Fs(=)p Fw(2\))p 1566 2960 377 4 v 1648 3052 a Fq(\000)p Fw(4)p Fs(\031)t Fw(i)1969 2848 y Fj(Z)2024 3073 y Fr(\015)2060 3081 y Ff(1)2146 2983 y Fw(d)p Fs(z)t(e)2294 2942 y Fr(z)2330 2919 y Fl(3)2366 2942 y Fr(=)p Fp(3+\()p Fr(u)2559 2951 y Fl(2)2594 2942 y Fo(\000)p Fr(u)2690 2951 y Fl(1)2724 2942 y Fp(\))p Fr(z)2787 2919 y Fl(2)2822 2942 y 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Fs(K)1254 1698 y Fr(\025)1334 1683 y Fw(the)f(op)s(erator)g(with)h(k)m(ernel)g Fs(K)2497 1698 y Fr(\025)2543 1683 y Fw(\()p Fs(x;)17 b(y)t Fw(\))31 b(=)h(Ai\()p Fs(x)24 b Fw(+)g Fs(y)j Fw(+)c Fs(\025)p Fw(\))257 1804 y(and)33 b(the)g(Airy)g(op)s(erator)f Fs(H)1311 1819 y Fr(A)1396 1804 y Fw(=)27 b Fq(\000)p Fw(\001)c(+)f Fs(Q)p Fw(.)404 1924 y(W)-8 b(e)26 b(will)g(apply)h(Bak)m (er-Campb)s(ell-Haussdorf)h(form)m(ula.)41 b(If)26 b([)p Fs(A;)17 b Fw([)p Fs(A;)g(B)5 b Fw(]])28 b(=)f Fs(c)p Fv(1)f Fw(and)257 2044 y([)p Fs(B)5 b(;)17 b Fw([)p Fs(A;)g(B)5 b Fw(]])28 b(=)g Fs(c)858 2008 y Fo(0)881 2044 y Fv(1)33 b Fw(for)f(some)h(constan)m(t)h Fs(c;)17 b(c)1887 2008 y Fo(0)1910 2044 y Fw(,)32 b(then)1034 2304 y Fs(e)1079 2263 y Fr(A)1136 2304 y Fs(e)1181 2263 y Fr(B)1269 2304 y Fw(=)c Fs(e)1418 2259 y Fr(A)p Fp(+)p Fr(B)s Fp(+)1647 2220 y(1)p 1647 2236 36 4 v 1647 2294 a(2)1693 2259 y([)p Fr(A;B)s Fp(]+)1943 2220 y(1)p 1927 2236 71 4 v 1927 2294 a(12)2006 2259 y([)p Fr(A;)p Fp([)p Fr(A;B)s Fp(]])p Fo(\000)2368 2220 y Fp(1)p 2353 2236 V 2353 2294 a(12)2431 2259 y([)p Fr(B)s(;)p Fp([)p Fr(A;B)s Fp(]])3270 2304 y Fw(\(A.2\))257 2524 y(from)33 b(whic)m(h)h(follo)m(ws,)f(for)f([)p Fs(A;)17 b(B)5 b Fw(])28 b(=)g Fs(c)p Fv(1)p Fw(,)1422 2784 y Fs(e)1467 2743 y Fr(A)p Fp(+)p Fr(B)1664 2784 y Fw(=)f Fs(e)1812 2743 y Fr(A)1870 2784 y Fs(e)1915 2743 y Fr(B)1975 2784 y Fs(e)2020 2739 y Fo(\000)2085 2700 y Fp(1)p 2085 2716 36 4 v 2085 2774 a(2)2131 2739 y([)p Fr(A;B)s Fp(])2303 2784 y Fs(:)940 b Fw(\(A.3\))257 3004 y(Moreo)m(v)m(er,)35 b(w)m(e)e(will)g(use)h(the)f(prop)s(ert)m(y)g (of)f(Airy)i(functions)1222 3224 y(Ai)1322 3182 y Fo(00)1364 3224 y Fw(\()p Fs(x)23 b Fw(+)f Fs(y)t Fw(\))27 b(=)g(\()p Fs(x)c Fw(+)f Fs(y)t Fw(\)Ai)o(\()p Fs(x)h Fw(+)f Fs(y)t Fw(\))p Fs(:)738 b Fw(\(A.4\))257 3444 y(W)-8 b(e)33 b(collect)h(some)f(useful)h(prop)s(erties)f(in)g(the)g(follo)m(wing)g (lemma.)257 3648 y Fi(Lemma)39 b(A.1.)363 3851 y Fx(1\))48 b(Commutation)34 b(r)-5 b(elations:)45 b Fw([)p Fs(Q;)17 b(D)s Fw(])27 b(=)h Fq(\000)p Fv(1)p Fx(,)100 b Fw([)p Fs(Q;)17 b Fw(\001])28 b(=)g Fq(\000)p Fw(2)p Fs(D)s Fx(,)363 4054 y(2\))48 b Fs(H)582 4069 y Fr(A)639 4054 y Fs(K)722 4069 y Fr(\025)795 4054 y Fw(=)28 b Fq(\000)p Fs(K)1059 4069 y Fr(\025)1104 4054 y Fw(\()p Fs(\025)p Fv(1)23 b Fw(+)f Fs(Q)p Fw(\))p Fx(,)363 4258 y(3\))48 b Fs(e)546 4222 y Fr(tD)636 4258 y Fs(K)719 4273 y Fr(\025)792 4258 y Fw(=)27 b Fs(K)978 4273 y Fr(\025)p Fp(+)p Fr(t)1139 4258 y Fx(and)34 b Fs(K)1411 4273 y Fr(\025)1457 4258 y Fs(e)1502 4222 y Fr(tD)1619 4258 y Fw(=)28 b Fs(K)1806 4273 y Fr(\025)p Fo(\000)p Fr(t)1931 4258 y Fx(,)363 4501 y(4\))48 b Fs(e)546 4465 y Fo(\000)p Fr(t)p Fp(\001)690 4501 y Fs(K)773 4516 y Fr(\025)846 4501 y Fw(=)27 b Fs(e)994 4456 y Fo(\000)1059 4417 y Fp(2)p 1059 4433 V 1059 4491 a(3)1105 4456 y Fr(t)1130 4433 y Fl(3)1165 4456 y Fo(\000)p Fr(\025t)1290 4501 y Fs(e)1335 4465 y Fo(\000)p Fr(tQ)1476 4501 y Fs(K)1559 4518 y Fr(\025)p Fp(+)p Fr(t)1680 4499 y Fl(2)1719 4501 y Fs(e)1764 4465 y Fo(\000)p Fr(tQ)1904 4501 y Fx(.)257 4705 y(Pr)-5 b(o)g(of.)49 b Fw(1\))56 b(By)i(applying)g(to)e Fs(f)80 b Fq(2)70 b(S)7 b Fw(\()p Fv(R)p Fw(\))58 b(w)m(e)g(get)f([)p Fs(Q;)17 b(D)s Fw(])p Fs(f)11 b Fw(\()p Fs(x)p Fw(\))69 b(=)g Fq(\000)p Fs(f)11 b Fw(\()p Fs(x)p Fw(\))57 b(and)257 4825 y([)p Fs(Q;)17 b Fw(\001])p Fs(f)11 b Fw(\()p Fs(x)p Fw(\))29 b(=)e Fq(\000)p Fw(2)p Fs(f)1020 4789 y Fo(0)1043 4825 y Fw(\()p Fs(x)p Fw(\))h(=)g Fq(\000)p Fw(2)p Fs(D)s(f)11 b Fw(\()p Fs(x)p Fw(\).)257 4945 y(2\))33 b(W)-8 b(e)33 b(apply)g(the)g (de\014nition)g(of)f Fs(H)1606 4960 y Fr(A)1696 4945 y Fw(and)h(use)g(\(A.4\))f(to)h(get)307 5214 y(\()p Fs(H)426 5229 y Fr(A)483 5214 y Fs(K)566 5229 y Fr(\025)611 5214 y Fs(f)11 b Fw(\)\()p Fs(x)p Fw(\))28 b(=)f Fq(\000)1064 5078 y Fj(Z)1181 5214 y Fw(d)p Fs(y)t Fw(Ai)o(\()p Fs(x)s Fw(+)s Fs(y)7 b Fw(+)s Fs(\025)p Fw(\)\()p Fs(y)g Fw(+)s Fs(\025)p Fw(\))p Fs(f)k Fw(\()p Fs(y)t Fw(\))24 b(=)k Fq(\000)p Fw(\()p Fs(K)2570 5229 y Fr(\025)2615 5214 y Fw(\()p Fs(\025)p Fv(1)s Fw(+)s Fs(Q)p Fw(\))p Fs(f)11 b Fw(\)\()p Fs(x)p Fw(\))p Fs(:)50 b Fw(\(A.5\))1828 5637 y(26)p eop end %%Page: 27 27 TeXDict begin 27 26 bop 257 573 a Fw(3\))33 b(F)-8 b(ollo)m(ws)33 b(from)f(\()p Fs(e)1036 537 y Fr(tD)1126 573 y Fs(f)11 b Fw(\)\()p Fs(x)p Fw(\))27 b(=)h Fs(f)11 b Fw(\()p Fs(x)22 b Fw(+)g Fs(t)p Fw(\).)257 693 y(4\))34 b(W)-8 b(e)34 b(use)h(the)f(prop)s(ert)m(y)h(2\))e(and)h(\(A.2\))g(with)g Fs(A)c Fw(=)g Fq(\000)p Fs(t)p Fw(\001)35 b(and)f Fs(B)h Fw(=)30 b Fq(\000)p Fs(t)p Fw(\()p Fq(\000)p Fw(\001)24 b(+)f Fs(Q)p Fw(\),)257 814 y(to)33 b(get)488 1065 y Fs(e)533 1023 y Fo(\000)p Fr(t)p Fp(\001)676 1065 y Fs(K)759 1080 y Fr(\025)832 1065 y Fw(=)28 b Fs(e)981 1023 y Fo(\000)p Fr(t)p Fp(\001)1125 1065 y Fs(e)1170 1023 y Fo(\000)p Fr(t)p Fp(\()p Fo(\000)p Fp(\001+)p Fr(Q)p Fp(\))1533 1065 y Fs(e)1578 1023 y Fr(tH)1661 1034 y Fk(A)1716 1065 y Fs(K)1799 1080 y Fr(\025)1872 1065 y Fw(=)g Fs(e)2021 1019 y Fo(\000)2086 980 y Fp(1)p 2086 997 36 4 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