Content-Type: multipart/mixed; boundary="-------------0308150729482" This is a multi-part message in MIME format. ---------------0308150729482 Content-Type: text/plain; name="03-371.keywords" Content-Transfer-Encoding: 7bit Content-Disposition: attachment; filename="03-371.keywords" contact process; oriented percolation; gaussian scaling; mean-field critical exponent; upper critical dimension; super Brownian motion; lace expansion; inductive approach ---------------0308150729482 Content-Type: application/postscript; name="2pt.ps" Content-Transfer-Encoding: 7bit Content-Disposition: inline; filename="2pt.ps" %!PS-Adobe-2.0 %%Creator: dvips(k) 5.90a Copyright 2002 Radical Eye Software %%Title: 2pt.dvi %%CreationDate: Mon Aug 11 15:05:26 2003 %%Pages: 50 %%PageOrder: Ascend %%BoundingBox: 0 0 596 842 %%DocumentFonts: CMR17 CMR12 CMSY8 CMBX10 CMR10 MSBM10 CMMI7 CMMI10 %%+ CMSY10 CMR7 CMBX12 CMMI8 CMTI10 CMR8 CMSY6 CMR9 CMTT9 CMEX10 CMBX8 %%+ CMMI6 MSBM7 CMR6 Times-Italic Times-Roman MSAM7 MSAM10 CMTT10 CMTT8 %%+ CMTI8 CMMI9 CMSY9 CMMIB10 CMMIB7 %%EndComments %DVIPSWebPage: (www.radicaleye.com) %DVIPSCommandLine: dvips.exe -P pdf -G0 2pt %DVIPSParameters: dpi=8000, compressed %DVIPSSource: TeX output 2003.08.11:1505 %%BeginProcSet: tex.pro %! /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: alt-rule.pro %! % Patch by TVZ % Makes dvips files draw rules with stroke rather than fill. % Makes narrow rules more predictable at low resolutions % after distilling to PDF. % May have unknown consequences for very thick rules. % Tested only with dvips 5.85(k). 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cleartomark %%EndFont %%BeginFont: CMMIB7 %!PS-AdobeFont-1.1: CMMIB7 001.100 %%CreationDate: 1996 Jul 27 07:35:50 % Computer Modern fonts were designed by Donald E. Knuth. % Copyright (C) 1997 American Mathematical Society. All Rights Reserved. 11 dict begin /FontInfo 7 dict dup begin /version (001.100) readonly def /Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def /FullName (CMMIB7) readonly def /FamilyName (Computer Modern) readonly def /Weight (Bold) readonly def /ItalicAngle -14.035 def /isFixedPitch false def end readonly def /FontName /CMMIB7 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 97 /a put dup 111 /o put dup 115 /s put dup 117 /u put dup 118 /v put dup 119 /w put dup 120 /x put dup 121 /y put readonly def /FontBBox{0 -250 1294 750}readonly def /UniqueID 5087389 def currentdict end currentfile eexec D9D66F633B846A97B686A97E45A3D0AA0525392EECAC163E584A9104D99AD0BC 1B1844A0E222653FA481B8809B26A46F4C483A5D7E95816EA6582584156CFEDE B994ADCFF4645140E3617E4D7E1B0E4541CB9F562E55829B4DD880AABE2229E9 4A9FA259A734D29BBA91BA1E2055CBEA4339BCBFF98D32CEFF11F296225CAABA DCA10577A5D431B714726C1278D8101ABD1BD8D0BD0174FFF9148F8C61C241D9 2AD360A28616CB4A0670BAB68BB2A3981BBAA823C8858EF31989BDBABDF4098A 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0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 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 97 /a put dup 111 /o put dup 115 /s 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{-15 -250 1216 750}readonly def /UniqueID 5087392 def currentdict end currentfile eexec D9D66F633B846A97B686A97E45A3D0AA0529731C99A784CCBE85B4993B2EEBDE 3B12D472B7CF54651EF21185116A69AB1096ED4BAD2F646635E019B6417CC77B 532F85D811C70D1429A19A5307EF63EB5C5E02C89FC6C20F6D9D89E7D91FE470 B72BEFDA23F5DF76BE05AF4CE93137A219ED8A04A9D7D6FDF37E6B7FCDE0D90B 986423E5960A5D9FBB4C956556E8DF90CBFAEC476FA36FD9A5C8175C9AF513FE D919C2DDD26BDC0D99398B9F4D004B836D34E88C25F6CE738846C8E2E59A2BCF 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Mathematical Society. All Rights Reserved. 11 dict begin /FontInfo 7 dict dup begin /version (1.0) readonly def /Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def /FullName (CMSY9) readonly def /FamilyName (Computer Modern) readonly def /Weight (Medium) readonly def /ItalicAngle -14.035 def /isFixedPitch false def end readonly def /FontName /CMSY9 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 0 /minus put dup 2 /multiply put dup 20 /lessequal put dup 33 /arrowright put dup 49 /infinity put dup 50 /element put readonly def /FontBBox{-30 -958 1146 777}readonly def /UniqueID 5000819 def currentdict end currentfile eexec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cleartomark %%EndFont %%BeginFont: CMMI9 %!PS-AdobeFont-1.1: CMMI9 1.100 %%CreationDate: 1996 Jul 23 07:53:55 % Copyright (C) 1997 American Mathematical Society. All Rights Reserved. 11 dict begin /FontInfo 7 dict dup begin /version (1.100) readonly def /Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def /FullName (CMMI9) readonly def /FamilyName (Computer Modern) readonly def /Weight (Medium) readonly def /ItalicAngle -14.04 def /isFixedPitch false def end readonly def /FontName /CMMI9 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 21 /lambda put dup 28 /tau put dup 59 /comma put dup 60 /less put dup 64 /partialdiff put dup 68 /D put dup 82 /R put dup 116 /t put dup 120 /x put readonly def /FontBBox{-29 -250 1075 750}readonly def /UniqueID 5087384 def currentdict end currentfile eexec D9D66F633B846A97B686A97E45A3D0AA0529731C99A784CCBE85B4993B2EEBDE 3B12D472B7CF54651EF21185116A69AB1096ED4BAD2F646635E019B6417CC77B 532F85D811C70D1429A19A5307EF63EB5C5E02C89FC6C20F6D9D89E7D91FE470 B72BEFDA23F5DF76BE05AF4CE93137A219ED8A04A9D7D6FDF37E6B7FCDE0D90B 986423E5960A5D9FBB4C956556E8DF90CBFAEC476FA36FD9A5C8175C9AF513FE D919C2DDD26BDC0D99398B9F4D03D5993DFC0930297866E1CD0A319B6B1FD958 9E394A533A081C36D6F5CA5FED4F9AC9ADE41E04F9FC52E758C9F45A92BED935 86F9CFDB57732045913A6422AD4206418610C81D882EE493DE9523CC1BFE1505 DD1390B19BC1947A01B93BC668BE9B2A0E69A968554239B88C00AF9FBDF09CCD 67D3B2094C11A04762FE8CC1E91D020A28B3C122D24BEAACF82313F4604F2FEF 6E176D730A879BE45DD0D4996EF0247AEB1CA0AB08FF374D99F06D47B36F9554 FAD9A2D3CE451B7791C3709D8A1DDDEFBD840C1B42AB824D5A0DFF0E0F15B0B7 22AEEB877FF489581DA6FA8DA64944555101EB16F7AB0B717E148B7B98D8DBFD 730C52937E226545CF8DC3E07C5BA30739BAFCD0F2B44275A6D503F582C0FB4F 449963D0AD2FAFDE33BA3D77BCA9D1DF878DDAFCA2E22CC4BACD542B282164C7 97C2BDE318AF9D501CA21F6E662E7AAB75A5F24D2C182E598D175D44E88AB19A E7CD59584F95B389183EE21B525BF52A3F23C0FE5383A5565A19361D716F508C AAB78411CA5A4D27552CC1C435760D5A89D535B71C593E755C616661363308DA A683F54ED0C23FB2C225A008392B0B719F66F11A946A090B7C00B662A3C69599 B4ECB0CC70C85C4BBBF207E0026F6C7A19F2ACFB7A60804FC98A4BFFD7BFFF2B 952B42CE273B1118F73E1809D2911924A418CC45E20D9A9C026201263F4A1527 48E376774D7C218132B4D3680590AB2AA2C2EA741D7E96C49F4BA3E705E2D68A D288EC56011CD158D02216881B7E45314D94E45D7ECA73776BA42DACC41248A4 D19B97FA93D40079BACFE26853F0DF9F75201C59C77FAD42905A1B39ABECBAB2 C0925759BF0900E0E011E8ADFAD5859FC718F307C85933D6F9FA42D823683703 8BF34F6666AE5C90B42A4BC5F2F4B170B4DD23DF5C5B2A5D955D48570DA58601 91048AD24B7E8CF4F40A637753AC484C07A96A58C2698B7A64D0C3182E55331B F5C6B42EA61499365CA935A66C11905FAF73939FE629803C7035EB72D884D215 ABDBB4ED79D271A3BE5AB0C61566E50DF4130DCB86B2C1E05688499E7CB47612 EEBD651D05D9F15570C32C0AF8294B57F70300BEE8A04E66ADC8FF90EB816CD1 AF847C4D47A3E2E33D60D1E78602B78DCF47B7825369A3ED97F7063095A94D67 C6F3D95874EF929C80CC6317038BB0BF0F278BE4A7D5BC7594AC48CC14F26C4B 5158D281BC02FFEBDDDADBE8E1BD39A399F96F8D4F99E68D2B0F0A83045A1BB1 18CF9121B053461C714D7D1E453A6F6DBD6B05A87645DCEA777674D69AFC3E4D F2D48230693B56C800FF9D38C6BC6E28F70AB0EA2467272735A86115A7F5F00E 88DF95FF4147E29E9FF38B3FC66D2E3432D0120402673AA77EA4268A458F1CC3 AF5AF258E23045AE68D814EC14E3EBFA9FE929B13B250ED5B1411CA9189CECAD 00A406F3AC1F868DA2F17680DE55BEC099D0E1CC395542E99A5944E20431C886 B666DAEF257F71F1EA9BF75EBF5D6319CB608BDB290E71E18D9A43BDA180ADBC 10B0062419347BB80DABF080C3432F3D3A5487118974961B44B6C2F03E665787 FCD2BFE64735058DD07C421D6DBAB7023BF7C2BE8CB28CD9B56F6B11A332D477 A373394C226BA1AE048AE23677444EBDFA0FB06ED54553C8DD1480E26752A92B 20F058328C2364315C67DD5E935C541089962AE2BF34FA566B6457554F6749ED 3987BFB1AB4A21FD3CCBE6C3F55EAB4F2BB7517D4B2440D30CD64B93B9BBC4F0 605906940D45B1F85E9518C7D74E1C479480FDC450BFAB1E80EEB9AC904005FF BCF89B8AF16933D4325F8A7E79EF584FEE4D1764C622088184B22694BD771F5F 6329ED673E8D2C98694BA699F4B581FEE2DC7012831235075145782B1F7792CA 44738BF99F8DEE3AF79D8662CFD7A255013A875E6B172522C64F1F220831E00E DAB2A45EB85B17040D8D059DE74FFC1F4BD9E38E107CC3413A14BCBF33CBB8A6 0DAF3D64EAF4500BC9E165F04255125645DD3A7E80EE9AABFFA79D44E8742255 ACDEB689791F57BAE069B70AE1EDA9DEBF5ED1BFAEB2D42DB99CF84112E2D374 F8E63199B3358C0A55AE3EA33D5ED188EEE3EBB324E8939C7D7D2BE4A88C67B9 018BDECDC78DE3981F16163037E4134E6AD0D97FF610689685FF772F542B8F16 B6FB802C7B15D2AC2A590DA0FBB5BD7E01312F4592AF1A4796846E60CD44CFC9 33519128066EE7137F46EBB69E9231C363CDC8281D900E23745B4E2D0CEAD516 7C5AB24527E51F6674F3B2E5D1E34622C8D4B7163946803401BA11E8E5DF6247 8C14FBF0675E3567D954EB1E505D326A154CD78875F3A0E260AE82169D068847 37A2A7DA9ED057DBA51460A92E612468DCA99FCCD1BF3E5E81E7B35DBF828270 71EE5549E47207E698A2AF4EBFB513AF3A3BB4DF336DAE36F46994D358771611 7E0BE79DDCA06FC79980B3A95D901717E6282C04795199CAB6EBF7A39A2F0A12 DB0203E8D16D4C9A640BDF4225EF5675AB7465501EA2BF1ED6C53CE9DA71302F 79B3013D3F01385E3BFD096CCAA8D3D9733E5C348836629E911411551AE43953 8FF83B5133AAECB753C87BD01D291B9B697447201FC4BBFF886641AAF643594D BCACFF6B6AC69C3CEB3E09506D89CC14BD25040400C950671C58D64CEE0F03C4 476C3FB6C707F573B2AAE278462C8D895FB9804589C0C10F8EEC8D0BE6C8AAC7 7B98B30F5E07A425B81E992F44D7980855C664EBA26A637860D6AD926937A4CE 04CCD807405484100FBA67CA6D3916BB8DF7A135620DB12D450D6AB48EFD17E8 CC15F8EF7593952A2DECD0DFCCAB4F8256DF571D66CD8F26CB1751DCBB673BDA 98C2D16AD50191E73B9156BCD8B1D553DFC04DE50CD6B24C46627DC4E212DE78 CA6270B170A43F8CBF1F0BDD7CCCB1206FB4943A9BFF3AA2BD856B337E7EAFB2 8F6503E3D616F7136C634A025569C66D7D9636646717A5D9843DFBCA888D3CAE 05AB09BCDD4ADAD54227798A7B099EEEE5A26E4E8276F0F9758ADDEC9407F2DD 58F38566B906A372CF5E8E3BF6A224BCD1CC473A40B23747F316327A11C8A896 9F729478749D2969623B1142F7935396A1B135404A780B289EEBBB5B6C9ED5B0 91D471E26C1CE931995AD6075F2549AAFD1AD1B56630A3C72601C2B88E4480A1 C8690E07EB1E1938959861AD787428235A411EFC207BC091EF12E7BFDBA41979 AE4D2594E3F15E0CBA7966C7D8B8E5494F7ACB9765DE5BB884C52ED0101317A9 6780ACDDA6859EBFA699EA54494176A1B615924F477EBE5FE1D41D7E183A1A5C 22B3653833FF134CC00D3CE2D9E5921EEFD1AB3C707D794EF5A198506B76178B B255 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 cleartomark %%EndFont %%BeginFont: CMTI8 %!PS-AdobeFont-1.1: CMTI8 1.0 %%CreationDate: 1991 Aug 18 21:07:42 % 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 (CMTI8) readonly def /FamilyName (Computer Modern) readonly def /Weight (Medium) readonly def /ItalicAngle -14.04 def /isFixedPitch false def end readonly def /FontName /CMTI8 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 97 /a put dup 105 /i put dup 108 /l put dup 112 /p put dup 115 /s put dup 116 /t put readonly def /FontBBox{-35 -250 1190 750}readonly def /UniqueID 5000826 def currentdict end currentfile eexec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cleartomark %%EndFont %%BeginFont: CMTT8 %!PS-AdobeFont-1.1: CMTT8 1.0 %%CreationDate: 1991 Aug 20 16:46:05 % 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 (CMTT8) readonly def /FamilyName (Computer Modern) readonly def /Weight (Medium) readonly def /ItalicAngle 0 def /isFixedPitch true def end readonly def /FontName /CMTT8 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 97 /a put dup 101 /e put dup 105 /i put dup 109 /m put dup 112 /p put dup 115 /s put dup 116 /t put dup 118 /v put readonly def /FontBBox{-5 -232 545 699}readonly def /UniqueID 5000830 def currentdict end currentfile eexec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cleartomark %%EndFont %%BeginFont: CMTT10 %!PS-AdobeFont-1.1: CMTT10 1.00B %%CreationDate: 1992 Apr 26 10:42:42 % 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 (CMTT10) readonly def /FamilyName (Computer Modern) readonly def /Weight (Medium) readonly def /ItalicAngle 0 def /isFixedPitch true def end readonly def /FontName /CMTT10 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 105 /i put dup 112 /p put dup 118 /v put readonly def /FontBBox{-4 -235 731 800}readonly def /UniqueID 5000832 def currentdict end currentfile eexec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cleartomark %%EndFont %%BeginFont: MSAM10 %!PS-AdobeFont-1.1: MSAM10 2.1 %%CreationDate: 1993 Sep 17 09:05:00 % Math Symbol fonts were designed by the American Mathematical Society. % Copyright (C) 1997 American Mathematical Society. All Rights Reserved. 11 dict begin /FontInfo 7 dict dup begin /version (2.1) readonly def /Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def /FullName (MSAM10) readonly def /FamilyName (Euler) readonly def /Weight (Medium) readonly def /ItalicAngle 0 def /isFixedPitch false def end readonly def /FontName /MSAM10 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 3 /square put dup 19 /dblarrowright put dup 78 /trianglesolid put readonly def /FontBBox{8 -463 1331 1003}readonly def /UniqueID 5031981 def currentdict end currentfile eexec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cleartomark %%EndFont %%BeginFont: MSAM7 %!PS-AdobeFont-1.1: MSAM7 2.1 %%CreationDate: 1992 Oct 17 08:30:29 % 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 (MSAM7) readonly def /FamilyName (Euler) readonly def /Weight (Medium) readonly def /ItalicAngle 0 def /isFixedPitch false def end readonly def /FontName /MSAM7 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 3 /square put dup 77 /triangle put dup 78 /trianglesolid put readonly def /FontBBox{0 -576 1569 1076}readonly def /UniqueID 5032012 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 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 59 /semicolon put dup 61 /equal put dup 99 /c put readonly def /FontBBox{-20 -250 1193 750}readonly def /UniqueID 5000789 def currentdict end currentfile eexec D9D66F633B846A97B686A97E45A3D0AA052A014267B7904EB3C0D3BD0B83D891 016CA6CA4B712ADEB258FAAB9A130EE605E61F77FC1B738ABC7C51CD46EF8171 9098D5FEE67660E69A7AB91B58F29A4D79E57022F783EB0FBBB6D4F4EC35014F D2DECBA99459A4C59DF0C6EBA150284454E707DC2100C15B76B4C19B84363758 469A6C558785B226332152109871A9883487DD7710949204DDCF837E6A8708B8 2BDBF16FBC7512FAA308A093FE5CF4E9D2405B169CD5365D6ECED5D768D66D6C 68618B8C482B341F8CA38E9BB9BAFCFAAD9C2F3FD033B62690986ED43D9C9361 3645B82392D5CAE11A7CB49D7E2E82DCD485CBA17D1AFFF95F4224CF7ECEE45C BFB7C8C77C22A01C345078D28D3ECBF804CDC2FE5025FA0D05CCC5EFC0C4F87E CBED13DDDF8F34E404F471C6DD2E43331D73E89BBC71E7BF889F6293793FEF5A C9DD3792F032E37A364C70914843F7AA314413D022AE3238730B420A7E9D0CF5 D0E24F501451F9CDECE10AF7E14FF15C4F12F3FCA47DD9CD3C7AEA8D1551017D 23131C09ED104C052054520268A4FA3C6338BA6CF14C3DE3BAF2EA35296EE3D8 D6496277E11DFF6076FE64C8A8C3419FA774473D63223FFA41CBAE609C3D976B 93DFB4079ADC7C4EF07303F93808DDA9F651F61BCCF79555059A44CBAF84A711 6D98083CEF58230D54AD486C74C4A257FC703ACF918219D0A597A5F680B606E4 EF94ADF8BF91A5096A806DB64EC96636A98397D22A74932EB7346A9C4B5EE953 CB3C80AA634BFC28AA938C704BDA8DC4D13551CCFE2B2784BE8BF54502EBA9AF D49B79237B9C56310550BC30E9108BB06EAC755D6AA4E688EFE2A0AAB17F20FE 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cleartomark %%EndFont %%BeginFont: MSBM7 %!PS-AdobeFont-1.1: MSBM7 2.1 %%CreationDate: 1992 Oct 17 08:30:50 % Math Symbol fonts were designed by the American Mathematical Society. % Copyright (C) 1997 American Mathematical Society. All Rights Reserved. 11 dict begin /FontInfo 7 dict dup begin /version (2.1) readonly def /Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def /FullName (MSBM7) readonly def /FamilyName (Euler) readonly def /Weight (Medium) readonly def /ItalicAngle 0 def /isFixedPitch false def end readonly def /FontName /MSBM7 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 90 /Z put readonly def /FontBBox{0 -504 2615 1004}readonly def /UniqueID 5032014 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 13 /gamma put dup 21 /lambda put dup 22 /mu put dup 34 /epsilon put dup 59 /comma put dup 61 /slash put dup 78 /N put dup 82 /R put dup 84 /T put dup 99 /c put dup 100 /d 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 113 /q put dup 114 /r put dup 116 /t put dup 118 /v put dup 120 /x put readonly def /FontBBox{11 -250 1241 750}readonly def /UniqueID 5087381 def currentdict end currentfile eexec D9D66F633B846A97B686A97E45A3D0AA0529731C99A784CCBE85B4993B2EEBDE 3B12D472B7CF54651EF21185116A69AB1096ED4BAD2F646635E019B6417CC77B 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7A2FF5E8CC1EE80BBBD302744CC079B7CF2715DF66EE7CEA03BE4ED52A1185CD 0024748367A738A9B0E05604E01639E9744A4EA2DDADB4FED6FAF4DF1B3C81E6 718A9838624142818E8226C5AB74CFBF721B3F7A72A3023C217C7D79163F64F8 37203B2B656B46FD9B6516C4B916F85E84730692335882D301F7C10844E1A31C 85E1D927C6288D4FAC96C3EB41638255DF8FF206659124847A12098BD00196C8 42283C2735620E98B4DFA5077F07FF19D8882F08EC41AB82E6F19E1B38A3A7FF 5018DA3185ACD0064678975B2CFF0EFEC534140802C85CBBBF766D171C97988A 3C9E50D132767ADE5C71739A1203CCEA2604D4E23CB1E78CFF7F67A8A527AF9D BE426A6EF63EF145F2DF9BA687A519260ABF87DC9D9E452AD209A02E6CBED95F E974E51A07AD884F8C96B5A0D7CB9A0053BF0A465029D562FB4C66D7585A7563 B7B8AB98B15B9DFB1E55C0C3136155A0F34703C388268E15336EBC29AE308842 3DF76A6406DB7168533A869331A5529E22AFFCEA0BF70DFEF8BB21FF605F2EB1 526D75B983B4959C970E58E91FA11E75720E30F2E03740D7F9717268B863FE64 02CAF1742D429BFB7B040CCE4C305DC02460CF12762B32DE81D8CAA06EA8D0C9 DCD459200A9FDF17C961B689F33022AF3CB8E22C4DD92BF378949DC9C6E7325A B9C4C7E0D33906E625E6D4326C5CEC9AE9320136939EBEA6FDE30BEE67570873 2A83CD52535A18A1207808C23E343741A81EB8A517D68783543BFC32E24EADFE D4D9295B8A9991DC3C44A721FCE3F5A7838F8C91C7AC8C4B1C36445D3DD40841 105499C7B57358E9D52693A172AF18364CDBC86604FB5AE4 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 cleartomark %%EndFont %%BeginFont: CMBX8 %!PS-AdobeFont-1.1: CMBX8 1.0 %%CreationDate: 1991 Aug 20 16:36:07 % 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 (CMBX8) readonly def /FamilyName (Computer Modern) readonly def /Weight (Bold) readonly def /ItalicAngle 0 def /isFixedPitch false def end readonly def /FontName /CMBX8 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 67 /C put dup 83 /S put readonly def /FontBBox{-59 -250 1235 750}readonly def /UniqueID 5000766 def currentdict end currentfile eexec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cleartomark %%EndFont %%BeginFont: CMBX10 %!PS-AdobeFont-1.1: CMBX10 1.00B %%CreationDate: 1992 Feb 19 19:54:06 % Copyright (C) 1997 American Mathematical Society. All Rights Reserved. 11 dict begin /FontInfo 7 dict dup begin /version (1.00B) readonly def /Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def /FullName (CMBX10) readonly def /FamilyName (Computer Modern) readonly def /Weight (Bold) readonly def /ItalicAngle 0 def /isFixedPitch false def end readonly def /FontName /CMBX10 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 12 /fi put dup 40 /parenleft put dup 41 /parenright put dup 46 /period put dup 48 /zero put dup 49 /one put dup 50 /two put dup 51 /three put dup 52 /four put dup 53 /five put dup 54 /six put dup 55 /seven put dup 56 /eight put dup 57 /nine put dup 65 /A put dup 66 /B put dup 67 /C put dup 68 /D put dup 71 /G put dup 72 /H put dup 73 /I put dup 76 /L put dup 80 /P put dup 82 /R put dup 83 /S put dup 84 /T put dup 97 /a put dup 98 /b put dup 99 /c put dup 100 /d put dup 101 /e put dup 102 /f put dup 103 /g put dup 104 /h put dup 105 /i put dup 108 /l put dup 109 /m put dup 110 /n put dup 111 /o put dup 112 /p put dup 114 /r put dup 115 /s put dup 116 /t put dup 117 /u put dup 118 /v put dup 119 /w put dup 120 /x put dup 121 /y put dup 122 /z put dup 123 /endash put readonly def /FontBBox{-301 -250 1164 946}readonly def /UniqueID 5000768 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 (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 39 /quoteright put dup 40 /parenleft put dup 41 /parenright put dup 44 /comma put dup 45 /hyphen put dup 46 /period put dup 48 /zero put dup 49 /one put dup 51 /three put dup 52 /four put dup 53 /five put dup 54 /six put dup 61 /equal put dup 65 /A put dup 66 /B put dup 67 /C put dup 68 /D put dup 69 /E put dup 70 /F put dup 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 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 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 readonly def /FontBBox{-39 -250 1036 750}readonly def /UniqueID 5000792 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 3 /asteriskmath put dup 48 /prime put dup 49 /infinity put dup 106 /bar put dup 121 /dagger put readonly def /FontBBox{-4 -948 1329 786}readonly def /UniqueID 5000816 def currentdict end currentfile eexec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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 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 58 /colon put dup 59 /semicolon put dup 61 /equal put dup 91 /bracketleft put dup 93 /bracketright put dup 94 /circumflex put dup 97 /a put dup 99 /c put dup 103 /g put dup 104 /h put dup 105 /i put dup 108 /l put dup 111 /o put dup 112 /p put dup 115 /s put dup 116 /t put readonly def /FontBBox{-36 -250 1070 750}readonly def /UniqueID 5000791 def currentdict end currentfile eexec D9D66F633B846A97B686A97E45A3D0AA052A014267B7904EB3C0D3BD0B83D891 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All Rights Reserved. 11 dict begin /FontInfo 7 dict dup begin /version (1.00B) readonly def /Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def /FullName (CMTI10) readonly def /FamilyName (Computer Modern) readonly def /Weight (Medium) readonly def /ItalicAngle -14.04 def /isFixedPitch false def end readonly def /FontName /CMTI10 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 11 /ff put dup 12 /fi put dup 14 /ffi put dup 19 /acute 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 54 /six put dup 58 /colon put dup 65 /A put dup 66 /B put dup 67 /C put dup 68 /D put dup 69 /E put dup 70 /F put dup 71 /G put dup 72 /H put dup 73 /I put dup 74 /J put dup 75 /K put dup 76 /L put dup 77 /M put dup 79 /O put dup 80 /P put dup 82 /R put dup 83 /S put dup 84 /T put dup 86 /V put dup 97 /a put dup 98 /b put dup 99 /c put dup 100 /d put dup 101 /e put dup 102 /f put dup 103 /g put dup 104 /h put dup 105 /i put dup 106 /j put dup 108 /l put dup 109 /m put dup 110 /n put dup 111 /o put dup 112 /p put dup 113 /q put dup 114 /r put dup 115 /s put dup 116 /t put dup 117 /u put dup 118 /v put dup 119 /w put dup 120 /x put dup 121 /y put dup 122 /z put dup 123 /endash put readonly def /FontBBox{-163 -250 1146 969}readonly def /UniqueID 5000828 def currentdict end currentfile eexec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0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 cleartomark %%EndFont %%BeginFont: CMSY10 %!PS-AdobeFont-1.1: CMSY10 1.0 %%CreationDate: 1991 Aug 15 07:20:57 % Copyright (C) 1997 American Mathematical Society. All Rights Reserved. 11 dict begin /FontInfo 7 dict dup begin /version (1.0) readonly def /Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def /FullName (CMSY10) readonly def /FamilyName (Computer Modern) readonly def /Weight (Medium) readonly def /ItalicAngle -14.035 def /isFixedPitch false def end readonly def /FontName /CMSY10 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 0 /minus put dup 1 /periodcentered put dup 2 /multiply put dup 3 /asteriskmath put dup 14 /openbullet put dup 16 /equivasymptotic put dup 17 /equivalence put dup 20 /lessequal put dup 21 /greaterequal put dup 24 /similar put dup 26 /propersubset put dup 27 /propersuperset put dup 28 /lessmuch put dup 29 /greatermuch put dup 33 /arrowright put dup 34 /arrowup put dup 35 /arrowdown put dup 49 /infinity put dup 50 /element put dup 52 /triangle put dup 54 /negationslash put dup 55 /mapsto put dup 56 /universal put dup 65 /A put dup 67 /C put dup 69 /E put dup 91 /union put dup 92 /intersection put dup 94 /logicaland put dup 95 /logicalor put dup 100 /ceilingleft put dup 101 /ceilingright put dup 102 /braceleft put dup 103 /braceright put dup 106 /bar put dup 107 /bardbl put dup 110 /backslash put dup 112 /radical put dup 114 /nabla put readonly def /FontBBox{-29 -960 1116 775}readonly def /UniqueID 5000820 def currentdict end currentfile eexec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Jul 23 07:53:54 % Copyright (C) 1997 American Mathematical Society. All Rights Reserved. 11 dict begin /FontInfo 7 dict dup begin /version (1.100) readonly def /Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def /FullName (CMMI8) readonly def /FamilyName (Computer Modern) readonly def /Weight (Medium) readonly def /ItalicAngle -14.04 def /isFixedPitch false def end readonly def /FontName /CMMI8 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 12 /beta put dup 13 /gamma put dup 14 /delta put dup 17 /eta put dup 20 /kappa put dup 21 /lambda put dup 22 /mu put dup 23 /nu put dup 25 /pi put dup 26 /rho put dup 27 /sigma put dup 30 /phi put dup 32 /psi put dup 33 /omega put dup 34 /epsilon put dup 59 /comma put dup 60 /less put dup 61 /slash put dup 62 /greater put dup 68 /D put dup 70 /F put dup 75 /K put dup 76 /L put dup 78 /N put dup 79 /O put dup 82 /R put dup 84 /T put dup 96 /lscript put dup 97 /a put dup 98 /b put dup 99 /c put dup 100 /d 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 113 /q put dup 114 /r put dup 115 /s put dup 116 /t put dup 117 /u put dup 118 /v put dup 119 /w put dup 120 /x put dup 121 /y put dup 122 /z put dup 126 /vector put readonly def /FontBBox{-24 -250 1110 750}readonly def /UniqueID 5087383 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 63 /emptyset put dup 67 /C put dup 78 /N put dup 80 /P put dup 82 /R put dup 90 /Z put readonly def /FontBBox{-55 -420 2343 920}readonly def /UniqueID 5031982 def currentdict end currentfile eexec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cleartomark %%EndFont %%BeginFont: CMMI10 %!PS-AdobeFont-1.1: CMMI10 1.100 %%CreationDate: 1996 Jul 23 07:53:57 % Copyright (C) 1997 American Mathematical Society. All Rights Reserved. 11 dict begin /FontInfo 7 dict dup begin /version (1.100) readonly def /Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def /FullName (CMMI10) readonly def /FamilyName (Computer Modern) readonly def /Weight (Medium) readonly def /ItalicAngle -14.04 def /isFixedPitch false def end readonly def /FontName /CMMI10 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 11 /alpha put dup 12 /beta put dup 13 /gamma put dup 14 /delta put dup 17 /eta put dup 20 /kappa put dup 21 /lambda put dup 22 /mu put dup 23 /nu put dup 25 /pi put dup 26 /rho put dup 27 /sigma put dup 28 /tau put dup 30 /phi put dup 32 /psi put dup 33 /omega put dup 34 /epsilon put dup 39 /phi1 put dup 58 /period put dup 59 /comma put dup 60 /less put dup 61 /slash put dup 62 /greater put dup 64 /partialdiff put dup 65 /A put dup 66 /B put dup 67 /C put dup 68 /D put dup 69 /E put dup 70 /F put dup 71 /G put dup 73 /I put dup 75 /K put dup 76 /L put dup 77 /M put dup 78 /N put dup 79 /O put dup 80 /P put dup 81 /Q put 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0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 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 1 /Delta put dup 5 /Pi put dup 11 /ff put dup 12 /fi put dup 13 /fl put dup 14 /ffi put dup 33 /exclam put dup 34 /quotedblright put dup 39 /quoteright put dup 40 /parenleft put dup 41 /parenright put dup 43 /plus put dup 44 /comma put dup 45 /hyphen put dup 46 /period put dup 48 /zero put dup 49 /one put dup 50 /two put dup 51 /three put dup 52 /four put dup 53 /five put dup 54 /six put dup 55 /seven put dup 56 /eight put dup 57 /nine put dup 58 /colon put dup 59 /semicolon put dup 61 /equal put dup 65 /A put dup 66 /B put dup 67 /C put dup 68 /D put dup 69 /E put dup 70 /F put dup 71 /G put dup 72 /H put dup 73 /I put dup 74 /J put dup 75 /K put dup 76 /L put dup 77 /M put dup 78 /N put dup 79 /O put dup 80 /P put dup 82 /R put dup 83 /S put dup 84 /T put dup 85 /U put dup 86 /V put dup 87 /W put dup 89 /Y put dup 91 /bracketleft put dup 92 /quotedblleft put dup 93 /bracketright put dup 94 /circumflex put dup 95 /dotaccent put dup 97 /a put dup 98 /b put dup 99 /c put dup 100 /d put dup 101 /e put dup 102 /f put dup 103 /g put dup 104 /h put dup 105 /i put dup 106 /j put dup 107 /k put dup 108 /l put dup 109 /m put dup 110 /n put dup 111 /o put dup 112 /p put dup 113 /q put dup 114 /r put dup 115 /s put dup 116 /t put dup 117 /u put dup 118 /v put dup 119 /w put dup 120 /x put dup 121 /y put dup 122 /z put dup 123 /endash put dup 126 /tilde put dup 127 /dieresis put readonly def /FontBBox{-251 -250 1009 969}readonly def /UniqueID 5000793 def currentdict end currentfile eexec D9D66F633B846A97B686A97E45A3D0AA052A014267B7904EB3C0D3BD0B83D891 016CA6CA4B712ADEB258FAAB9A130EE605E61F77FC1B738ABC7C51CD46EF8171 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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 45 /hyphen put dup 46 /period put dup 49 /one put dup 50 /two put dup 51 /three put dup 52 /four put dup 53 /five put dup 54 /six put dup 65 /A put dup 66 /B put dup 67 /C put dup 68 /D put dup 69 /E put dup 70 /F put dup 73 /I put dup 79 /O put dup 80 /P put dup 82 /R put dup 84 /T put dup 97 /a put dup 98 /b put dup 99 /c put dup 100 /d put dup 101 /e put dup 102 /f put dup 103 /g put dup 104 /h put dup 105 /i put dup 107 /k 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 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All Rights Reserved) readonly def /FullName (CMR7) readonly def /FamilyName (Computer Modern) readonly def /Weight (Medium) readonly def /ItalicAngle 0 def /isFixedPitch false def end readonly def /FontName /CMR7 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 48 /zero put readonly def /FontBBox{-27 -250 1122 750}readonly def /UniqueID 5000790 def currentdict end currentfile eexec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cleartomark %%EndFont %%BeginFont: CMMI7 %!PS-AdobeFont-1.1: CMMI7 1.100 %%CreationDate: 1996 Jul 23 07:53:53 % Copyright (C) 1997 American Mathematical Society. All Rights Reserved. 11 dict begin /FontInfo 7 dict dup begin /version (1.100) readonly def /Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def /FullName (CMMI7) readonly def /FamilyName (Computer Modern) readonly def /Weight (Medium) readonly def /ItalicAngle -14.04 def /isFixedPitch false def end readonly def /FontName /CMMI7 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 84 /T put dup 98 /b put dup 100 /d put dup 116 /t put readonly def /FontBBox{0 -250 1171 750}readonly def /UniqueID 5087382 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 3 /asteriskmath put dup 15 /bullet put dup 20 /lessequal put dup 21 /greaterequal put dup 26 /propersubset put dup 33 /arrowright put dup 34 /arrowup put dup 35 /arrowdown put dup 40 /arrowdblleft put dup 41 /arrowdblright put dup 48 /prime put dup 49 /infinity put dup 50 /element put dup 54 /negationslash put dup 65 /A put dup 67 /C put dup 94 /logicaland put dup 95 /logicalor put dup 102 /braceleft put dup 103 /braceright put dup 106 /bar put dup 107 /bardbl put dup 110 /backslash put dup 112 /radical put dup 121 /dagger put readonly def /FontBBox{-30 -955 1185 779}readonly def /UniqueID 5000818 def currentdict end currentfile eexec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All Rights Reserved. 11 dict begin /FontInfo 7 dict dup begin /version (1.0) readonly def /Notice (Copyright (C) 1997 American Mathematical Society. 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b FC(0\))337 b Fy(!)g FC(\()p FB(x;)202 b(t)p FC(\)\))p FB(:)17848 b FC(\(2.2\))-2520 68105 y(Similarly)403 b(to)i(\(1.6\),)f(the)h(discretized)e(con)-34 b(tact)405 b(pro)34 b(cess)404 b(has)g(a)g(critical)f(v)-67 b(alue)403 b FB(\025)34995 67521 y Fm(\()p Fp(")p Fm(\))34995 68262 y Fw(c)36484 68105 y FC(satisfying)3852 71240 y FB(")5078 70088 y Fr(X)4619 72718 y Fz(t)p FM(2)p Fz(")p Fo(Z)6610 72837 y Fm(+)7554 71240 y FC(^)-670 b FB(\034)8157 70739 y Fz(\025)8020 71539 y(t)p Fw(;)p Fz(")9111 71240 y FC(\(0\))10861 69167 y Fr(\()11838 70395 y FB(<)337 b Fy(1)p FB(;)1212 b FC(if)404 b FB(\025)336 b(<)h(\025)20020 69811 y Fm(\()p Fp(")o Fm(\))20020 70552 y Fw(c)21105 70395 y FB(;)11838 72201 y FC(=)g Fy(1)p FB(;)1212 b FC(otherwise)p FB(;)27980 71240 y FC(lim)27946 72057 y Fz(t)p FM("1)29899 71240 y FA(P)30640 70739 y Fz(\025)30640 71539 y(")31244 71240 y FC(\()p Fs(C)32722 71422 y Fz(t)33454 71240 y Fy(6)p FC(=)337 b FA(?)p FC(\))36350 69167 y Fr(\()37326 70395 y FC(=)g(0)p FB(;)1212 b FC(if)404 b FB(\025)337 b Fy(\024)f FB(\025)44902 69811 y Fm(\()p Fp(")p Fm(\))44902 70552 y Fw(c)45987 70395 y FB(;)37326 72201 y(>)h FC(0)p FB(;)1212 b FC(otherwise)p FB(:)50337 71240 y FC(\(2.3\))24851 75763 y(5)p eop end %%Page: 6 6 TeXDict begin 6 5 bop -1572 13241 a @beginspecial 54 @llx 254 @lly 553 @urx 539 @ury 2245 @rwi @setspecial %%BeginDocument: cp1d.eps %!PS-Adobe-3.0 EPSF-3.0 %%Creator: Adobe Illustrator(TM) 5.5J 95.01.01 %%For: (\226k\214\264\214\264\214\244) (\223\214\215H\221\345\201E\211\236\227p\225\250\227\235\212w\211\310) %%Title: (cp1d.eps) %%CreationDate: (2000.6.21) (16:33) %%BoundingBox: 54 254 553 539 %%HiResBoundingBox: 54.5564 254.8678 552.2317 538.0866 %%DocumentProcessColors: Black %%DocumentFonts: Times-Italic %%+ Times-Roman %%DocumentSuppliedResources: procset Adobe_level2_AI5 1.0 0 %%+ procset Adobe_typography_AI5 1.0 0 %%+ procset Adobe_IllustratorA_AI5 1.0 0 %%+ procset Adobe_cshow 2.0 8 %AI5_FileFormat 2.5 %AI3_ColorUsage: Black&White %AI3_TemplateBox: 306 396 306 396 %AI3_TileBox: 36 6 574 787 %AI3_DocumentPreview: Macintosh_ColorPic %AI5_ArtSize: 595.2756 841.8898 %AI5_RulerUnits: 1 %AI5_ArtFlags: 1 0 0 1 0 0 1 1 0 %AI5_TargetResolution: 800 %AI5_NumLayers: 1 %AI5_OpenToView: 34 620 1.5 829 695 18 0 1 300 53 %AI5_OpenViewLayers: 7 %%EndComments %%BeginProlog %%BeginResource: procset Adobe_level2_AI5 1.0 0 %%Title: (Adobe Illustrator (R) Version 5.0 Level 2 Emulation) %%Version: 1.0 %%CreationDate: (04/10/93) () %%Copyright: ((C) 1987-1993 Adobe Systems Incorporated All Rights Reserved) userdict /Adobe_level2_AI5 21 dict dup begin put /packedarray where not { userdict begin /packedarray { array astore readonly } bind def /setpacking /pop load def /currentpacking false def end 0 } if pop userdict /defaultpacking currentpacking put true setpacking /initialize { Adobe_level2_AI5 begin } bind def /terminate { currentdict Adobe_level2_AI5 eq { end } if } bind def mark /setcustomcolor where not { /findcmykcustomcolor { 5 packedarray } bind def /setcustomcolor { exch aload pop pop 4 { 4 index mul 4 1 roll } repeat 5 -1 roll pop setcmykcolor } def } if /gt38? mark {version cvx exec} stopped {cleartomark true} {38 gt exch pop} ifelse def userdict /deviceDPI 72 0 matrix defaultmatrix dtransform dup mul exch dup mul add sqrt put userdict /level2? systemdict /languagelevel known dup { pop systemdict /languagelevel get 2 ge } if put level2? not { /setcmykcolor where not { /setcmykcolor { exch .11 mul add exch .59 mul add exch .3 mul add 1 exch sub setgray } def } if /currentcmykcolor where not { /currentcmykcolor { 0 0 0 1 currentgray sub } def } if /setoverprint where not { /setoverprint /pop load def } if /selectfont where not { /selectfont { exch findfont exch dup type /arraytype eq { makefont } { scalefont } ifelse setfont } bind def } if /cshow where not { /cshow { [ 0 0 5 -1 roll aload pop ] cvx bind forall } bind def } if } if cleartomark /anyColor? { add add add 0 ne } bind def /testColor { gsave setcmykcolor currentcmykcolor grestore } bind def /testCMYKColorThrough { testColor anyColor? } bind def userdict /composite? level2? { gsave 1 1 1 1 setcmykcolor currentcmykcolor grestore add add add 4 eq } { 1 0 0 0 testCMYKColorThrough 0 1 0 0 testCMYKColorThrough 0 0 1 0 testCMYKColorThrough 0 0 0 1 testCMYKColorThrough and and and } ifelse put composite? not { userdict begin gsave /cyan? 1 0 0 0 testCMYKColorThrough def /magenta? 0 1 0 0 testCMYKColorThrough def /yellow? 0 0 1 0 testCMYKColorThrough def /black? 0 0 0 1 testCMYKColorThrough def grestore /isCMYKSep? cyan? magenta? yellow? black? or or or def /customColor? isCMYKSep? not def end } if end defaultpacking setpacking %%EndResource %%BeginResource: procset Adobe_typography_AI5 1.0 1 %%Title: (Typography Operators) %%Version: 1.0 %%CreationDate:(03/26/93) () %%Copyright: ((C) 1987-1993 Adobe Systems Incorporated All Rights Reserved) currentpacking true setpacking userdict /Adobe_typography_AI5 64 dict dup begin put /initialize { begin begin Adobe_typography_AI5 begin Adobe_typography_AI5 { dup xcheck { bind } if pop pop } forall end end end Adobe_typography_AI5 begin } def /terminate { currentdict Adobe_typography_AI5 eq { end } if } def /modifyEncoding { /_tempEncode exch ddef /_pntr 0 ddef { counttomark -1 roll dup type dup /marktype eq { pop pop exit } { /nametype eq { _tempEncode /_pntr dup load dup 3 1 roll 1 add ddef 3 -1 roll put } { /_pntr exch ddef } ifelse } ifelse } loop _tempEncode } def /havefont { systemdict /languagelevel known { /Font resourcestatus dup { exch pop exch pop } if } { systemdict /FontDirectory get 1 index known { pop true } { systemdict /fileposition known { dup length 6 add exch Ss 6 250 getinterval cvs pop Ss exch 0 exch getinterval status { pop pop pop pop true } { false } ifelse } { pop false } ifelse } ifelse } ifelse } def /TE { StandardEncoding 256 array copy modifyEncoding /_nativeEncoding exch def } def % /TZ { dup type /arraytype eq { /_wv exch def } { /_wv 0 def } ifelse /_useNativeEncoding exch def 2 index havefont { 2 index findfont } { dup 1 eq { 2 index 64 string cvs dup dup length 11 sub dup 0 le { pop pop pop true } { 11 getinterval dup (90pv-RKSJ-H) eq { 0 (83pv-RKSJ-H) putinterval cvn dup havefont { findfont false } { pop true } ifelse } { pop pop true } ifelse } ifelse { /Ryumin-Light-83pv-RKSJ-H havefont {/Ryumin-Light-83pv-RKSJ-H} {/Courier} ifelse findfont [1 0 0.5 1 0 0] makefont } if } { /Courier findfont } ifelse } ifelse _wv type /arraytype eq { _wv makeblendedfont } if dup length 10 add dict begin mark exch { 1 index /FID ne { def } if cleartomark mark } forall pop /FontScript exch def /FontDirection exch def /FontRequest exch def /FontName exch def counttomark 0 eq { 1 _useNativeEncoding eq { /Encoding _nativeEncoding def } if cleartomark } { /Encoding load 256 array copy modifyEncoding /Encoding exch def } ifelse FontName currentdict end definefont pop } def /tr { _ax _ay 3 2 roll } def /trj { _cx _cy _sp _ax _ay 6 5 roll } def /a0 { /Tx { dup currentpoint 3 2 roll tr _psf newpath moveto tr _ctm _pss } ddef /Tj { dup currentpoint 3 2 roll trj _pjsf newpath moveto trj _ctm _pjss } ddef } def /a1 { W B } def /e0 { /Tx { tr _psf } ddef /Tj { trj _pjsf } ddef } def /e1 { W F } def /i0 { /Tx { tr sp } ddef /Tj { trj jsp } ddef } def /i1 { W N } def /o0 { /Tx { tr sw rmoveto } ddef /Tj { trj swj rmoveto } ddef } def /r0 { /Tx { tr _ctm _pss } ddef /Tj { trj _ctm _pjss } ddef } def /r1 { W S } def /To { pop _ctm currentmatrix pop } def /TO { iTe _ctm setmatrix newpath } def /Tp { pop _tm astore pop _ctm setmatrix _tDict begin /W { } def /h { } def } def /TP { end iTm 0 0 moveto } def /Tr { _render 3 le { currentpoint newpath moveto } if dup 8 eq { pop 0 } { dup 9 eq { pop 1 } if } ifelse dup /_render exch ddef _renderStart exch get load exec } def /iTm { _ctm setmatrix _tm concat _shift aload pop _lineorientation 1 eq { exch } if translate _scale aload pop _lineorientation 1 eq _yokoorientation 1 eq or { exch } if scale } def /Tm { _tm astore pop iTm 0 0 moveto } def /Td { _mtx translate _tm _tm concatmatrix pop iTm 0 0 moveto } def /iTe { _render -1 eq { } { _renderEnd _render get dup null ne { load exec } { pop } ifelse } ifelse /_render -1 ddef } def /Ta { pop } def /Tf { 1 index type /nametype eq { dup 0.75 mul 1 index 0.25 mul neg } if /_fontDescent exch ddef /_fontAscent exch ddef /_fontSize exch ddef /_fontRotateAdjust _fontAscent _fontDescent add 2 div neg ddef /_fontHeight _fontSize ddef findfont _fontSize scalefont setfont } def /Tl { pop neg 0 exch _leading astore pop } def /Tt { pop } def /TW { 3 npop } def /Tw { /_cx exch ddef } def /TC { 3 npop } def /Tc { /_ax exch ddef } def /Ts { 0 exch _shift astore pop currentpoint iTm moveto } def /Ti { 3 npop } def /Tz { 100 div exch 100 div exch _scale astore pop iTm } def /TA { pop } def /Tq { pop } def /Tg { pop } def /TG { pop } def /Tv { /_lineorientation exch ddef } def /TV { /_charorientation exch ddef } def /Ty { dup /_yokoorientation exch ddef 1 sub neg Tv } def /TY { pop } def /T~ { Tx } def /Th { pop pop pop pop pop } def /TX { pop } def /Tk { _fontSize mul 1000 div _lineorientation 0 eq { neg 0 } { 0 exch } ifelse rmoveto pop } def /TK { 2 npop } def /T* { _leading aload pop _lineorientation 0 ne { exch } if Td } def /T*- { _leading aload pop _lineorientation 0 ne { exch } if exch neg exch neg Td } def /T- { _lineorientation 1 eq _charorientation 0 eq and { 1 TV _hyphen Tx 0 TV } { _hyphen Tx } ifelse } def /T+ { } def /TR { _ctm currentmatrix pop _tm astore pop iTm 0 0 moveto } def /TS { currentfont 3 1 roll /_Symbol_ findfont _fontSize scalefont setfont 0 eq { Tx } { Tj } ifelse setfont } def /Xb { pop pop } def /Tb /Xb load def /Xe { pop pop pop pop } def /Te /Xe load def /XB { } def /TB /XB load def currentdict readonly pop end setpacking % /X^ { currentfont 5 1 roll dup havefont { findfont _fontSize scalefont setfont } { pop exch } ifelse 2 index 0 eq { Tx } { Tj } ifelse pop pop setfont } def /T^ /X^ load def %%EndResource %%BeginResource: procset Adobe_IllustratorA_AI5 1.1 0 %%Title: (Adobe Illustrator (R) Version 5.0 Abbreviated Prolog) %%Version: 1.1 %%CreationDate: (3/7/1994) () %%Copyright: ((C) 1987-1994 Adobe Systems Incorporated All Rights Reserved) currentpacking true setpacking userdict /Adobe_IllustratorA_AI5_vars 92 dict dup begin put /_lp /none def /_pf { } def /_ps { } def /_psf { } def /_pss { } def /_pjsf { } def /_pjss { } def /_pola 0 def /_doClip 0 def /cf currentflat def /_lineorientation 0 def /_charorientation 0 def /_yokoorientation 0 def /_tm matrix def /_renderStart [ /e0 /r0 /a0 /o0 /e1 /r1 /a1 /i0 ] def /_renderEnd [ null null null null /i1 /i1 /i1 /i1 ] def /_render -1 def /_shift [0 0] def /_ax 0 def /_ay 0 def /_cx 0 def /_cy 0 def /_leading [ 0 0 ] def /_ctm matrix def /_mtx matrix def /_sp 16#020 def /_hyphen (-) def /_fontSize 0 def /_fontAscent 0 def /_fontDescent 0 def /_fontHeight 0 def /_fontRotateAdjust 0 def /Ss 256 string def Ss 0 (fonts/) putinterval /_scale [1 1] def /_nativeEncoding 0 def /_useNativeEncoding 0 def /_tempEncode 0 def /_pntr 0 def /_tDict 2 dict def /_wv 0 def /Tx { } def /Tj { } def /CRender { } def /_AI3_savepage { } def /_gf null def /_cf 4 array def /_if null def /_of false def /_fc { } def /_gs null def /_cs 4 array def /_is null def /_os false def /_sc { } def /_lobyte 0 def /_hibyte 0 def /_cproc null def /_cscript 0 def /_hvax 0 def /_hvay 0 def /_hvwb 0 def /_hvcx 0 def /_hvcy 0 def /_bitfont null def /_bitlobyte 0 def /_bithibyte 0 def /_bitkey null def /_bitdata null def /_bitindex 0 def /discardSave null def /buffer 256 string def /beginString null def /endString null def /endStringLength null def /layerCnt 1 def /layerCount 1 def /perCent (%) 0 get def /perCentSeen? false def /newBuff null def /newBuffButFirst null def /newBuffLast null def /clipForward? false def end userdict /Adobe_IllustratorA_AI5 80 dict dup begin put /initialize { Adobe_IllustratorA_AI5 dup begin Adobe_IllustratorA_AI5_vars begin discardDict { bind pop pop } forall dup /nc get begin { dup xcheck 1 index type /operatortype ne and { bind } if pop pop } forall end newpath } def /terminate { end end } def /_ null def /ddef { Adobe_IllustratorA_AI5_vars 3 1 roll put } def /xput { dup load dup length exch maxlength eq { dup dup load dup length 2 mul dict copy def } if load begin def end } def /npop { { pop } repeat } def /hswj { dup stringwidth 3 2 roll { _hvwb eq { exch _hvcx add exch _hvcy add } if exch _hvax add exch _hvay add } cforall } def /vswj { 0 0 3 -1 roll { dup 255 le _charorientation 1 eq and { dup cstring stringwidth 5 2 roll _hvwb eq { exch _hvcy sub exch _hvcx sub } if exch _hvay sub exch _hvax sub 4 -1 roll sub exch 3 -1 roll sub exch } { _hvwb eq { exch _hvcy sub exch _hvcx sub } if exch _hvay sub exch _hvax sub _fontHeight sub } ifelse } cforall } def /swj { 6 1 roll /_hvay exch ddef /_hvax exch ddef /_hvwb exch ddef /_hvcy exch ddef /_hvcx exch ddef _lineorientation 0 eq { hswj } { vswj } ifelse } def /sw { 0 0 0 6 3 roll swj } def /vjss { 4 1 roll { dup cstring dup length 1 eq _charorientation 1 eq and { -90 rotate currentpoint _fontRotateAdjust add moveto gsave false charpath currentpoint 5 index setmatrix stroke grestore _fontRotateAdjust sub moveto _sp eq { 5 index 5 index rmoveto } if 2 copy rmoveto 90 rotate } { currentpoint _fontHeight sub 5 index sub 3 index _sp eq { 9 index sub } if currentpoint exch 4 index stringwidth pop 2 div sub exch _fontAscent sub moveto gsave 2 index false charpath 6 index setmatrix stroke grestore moveto pop pop } ifelse } cforall 6 npop } def /hjss { 4 1 roll { dup cstring gsave false charpath currentpoint 5 index setmatrix stroke grestore moveto _sp eq { 5 index 5 index rmoveto } if 2 copy rmoveto } cforall 6 npop } def /jss { _lineorientation 0 eq { hjss } { vjss } ifelse } def /ss { 0 0 0 7 3 roll jss } def /vjsp { 4 1 roll { dup cstring dup length 1 eq _charorientation 1 eq and { -90 rotate currentpoint _fontRotateAdjust add moveto false charpath currentpoint _fontRotateAdjust sub moveto _sp eq { 5 index 5 index rmoveto } if 2 copy rmoveto 90 rotate } { currentpoint _fontHeight sub 5 index sub 3 index _sp eq { 9 index sub } if currentpoint exch 4 index stringwidth pop 2 div sub exch _fontAscent sub moveto 2 index false charpath moveto pop pop } ifelse } cforall 6 npop } def /hjsp { 4 1 roll { dup cstring false charpath _sp eq { 5 index 5 index rmoveto } if 2 copy rmoveto } cforall 6 npop } def /jsp { matrix currentmatrix _lineorientation 0 eq {hjsp} {vjsp} ifelse } def /sp { matrix currentmatrix 0 0 0 7 3 roll _lineorientation 0 eq {hjsp} {vjsp} ifelse } def /pl { transform 0.25 sub round 0.25 add exch 0.25 sub round 0.25 add exch itransform } def /setstrokeadjust where { pop true setstrokeadjust /c { curveto } def /C /c load def /v { currentpoint 6 2 roll curveto } def /V /v load def /y { 2 copy curveto } def /Y /y load def /l { lineto } def /L /l load def /m { moveto } def } { /c { pl curveto } def /C /c load def /v { currentpoint 6 2 roll pl curveto } def /V /v load def /y { pl 2 copy curveto } def /Y /y load def /l { pl lineto } def /L /l load def /m { pl moveto } def } ifelse /d { setdash } def /cf { } def /i { dup 0 eq { pop cf } if setflat } def /j { setlinejoin } def /J { setlinecap } def /M { setmiterlimit } def /w { setlinewidth } def /H { } def /h { closepath } def /N { _pola 0 eq { _doClip 1 eq { clip /_doClip 0 ddef } if newpath } { /CRender { N } ddef } ifelse } def /n { N } def /F { _pola 0 eq { _doClip 1 eq { gsave _pf grestore clip newpath /_lp /none ddef _fc /_doClip 0 ddef } { _pf } ifelse } { /CRender { F } ddef } ifelse } def /f { closepath F } def /S { _pola 0 eq { _doClip 1 eq { gsave _ps grestore clip newpath /_lp /none ddef _sc /_doClip 0 ddef } { _ps } ifelse } { /CRender { S } ddef } ifelse } def /s { closepath S } def /B { _pola 0 eq { _doClip 1 eq gsave F grestore { gsave S grestore clip newpath /_lp /none ddef _sc /_doClip 0 ddef } { S } ifelse } { /CRender { B } ddef } ifelse } def /b { closepath B } def /W { /_doClip 1 ddef } def /* { count 0 ne { dup type /stringtype eq { pop } if } if newpath } def /u { } def /U { } def /q { _pola 0 eq { gsave } if } def /Q { _pola 0 eq { grestore } if } def /*u { _pola 1 add /_pola exch ddef } def /*U { _pola 1 sub /_pola exch ddef _pola 0 eq { CRender } if } def /D { pop } def /*w { } def /*W { } def /` { /_i save ddef clipForward? { nulldevice } if 6 1 roll 4 npop concat pop userdict begin /showpage { } def 0 setgray 0 setlinecap 1 setlinewidth 0 setlinejoin 10 setmiterlimit [] 0 setdash /setstrokeadjust where {pop false setstrokeadjust} if newpath 0 setgray false setoverprint } def /~ { end _i restore } def /O { 0 ne /_of exch ddef /_lp /none ddef } def /R { 0 ne /_os exch ddef /_lp /none ddef } def /g { /_gf exch ddef /_fc { _lp /fill ne { _of setoverprint _gf setgray /_lp /fill ddef } if } ddef /_pf { _fc fill } ddef /_psf { _fc hvashow } ddef /_pjsf { _fc hvawidthshow } ddef /_lp /none ddef } def /G { /_gs exch ddef /_sc { _lp /stroke ne { _os setoverprint _gs setgray /_lp /stroke ddef } if } ddef /_ps { _sc stroke } ddef /_pss { _sc ss } ddef /_pjss { _sc jss } ddef /_lp /none ddef } def /k { _cf astore pop /_fc { _lp /fill ne { _of setoverprint _cf aload pop setcmykcolor /_lp /fill ddef } if } ddef /_pf { _fc fill } ddef /_psf { _fc hvashow } ddef /_pjsf { _fc hvawidthshow } ddef /_lp /none ddef } def /K { _cs astore pop /_sc { _lp /stroke ne { _os setoverprint _cs aload pop setcmykcolor /_lp /stroke ddef } if } ddef /_ps { _sc stroke } ddef /_pss { _sc ss } ddef /_pjss { _sc jss } ddef /_lp /none ddef } def /x { /_gf exch ddef findcmykcustomcolor /_if exch ddef /_fc { _lp /fill ne { _of setoverprint _if _gf 1 exch sub setcustomcolor /_lp /fill ddef } if } ddef /_pf { _fc fill } ddef /_psf { _fc hvashow } ddef /_pjsf { _fc hvawidthshow } ddef /_lp /none ddef } def /X { /_gs exch ddef findcmykcustomcolor /_is exch ddef /_sc { _lp /stroke ne { _os setoverprint _is _gs 1 exch sub setcustomcolor /_lp /stroke ddef } if } ddef /_ps { _sc stroke } ddef /_pss { _sc ss } ddef /_pjss { _sc jss } ddef /_lp /none ddef } def /A { pop } def /annotatepage { userdict /annotatepage 2 copy known {get exec} {pop pop} ifelse } def /discard { save /discardSave exch store discardDict begin /endString exch store gt38? { 2 add } if load stopped pop end discardSave restore } bind def userdict /discardDict 7 dict dup begin put /pre38Initialize { /endStringLength endString length store /newBuff buffer 0 endStringLength getinterval store /newBuffButFirst newBuff 1 endStringLength 1 sub getinterval store /newBuffLast newBuff endStringLength 1 sub 1 getinterval store } def /shiftBuffer { newBuff 0 newBuffButFirst putinterval newBuffLast 0 currentfile read not { stop } if put } def 0 { pre38Initialize mark currentfile newBuff readstring exch pop { { newBuff endString eq { cleartomark stop } if shiftBuffer } loop } { stop } ifelse } def 1 { pre38Initialize /beginString exch store mark currentfile newBuff readstring exch pop { { newBuff beginString eq { /layerCount dup load 1 add store } { newBuff endString eq { /layerCount dup load 1 sub store layerCount 0 eq { cleartomark stop } if } if } ifelse shiftBuffer } loop } { stop } ifelse } def 2 { mark { currentfile buffer readline not { stop } if endString eq { cleartomark stop } if } loop } def 3 { /beginString exch store /layerCnt 1 store mark { currentfile buffer readline not { stop } if dup beginString eq { pop /layerCnt dup load 1 add store } { endString eq { layerCnt 1 eq { cleartomark stop } { /layerCnt dup load 1 sub store } ifelse } if } ifelse } loop } def end userdict /clipRenderOff 15 dict dup begin put { /n /N /s /S /f /F /b /B } { { _doClip 1 eq { /_doClip 0 ddef clip } if newpath } def } forall /Tr /pop load def /Bb {} def /BB /pop load def /Bg {12 npop} def /Bm {6 npop} def /Bc /Bm load def /Bh {4 npop} def end /Lb { 4 npop 6 1 roll pop 4 1 roll pop pop pop 0 eq { 0 eq { (%AI5_BeginLayer) 1 (%AI5_EndLayer--) discard } { /clipForward? true def /Tx /pop load def /Tj /pop load def currentdict end clipRenderOff begin begin } ifelse } { 0 eq { save /discardSave exch store } if } ifelse } bind def /LB { discardSave dup null ne { restore } { pop clipForward? { currentdict end end begin /clipForward? false ddef } if } ifelse } bind def /Pb { pop pop 0 (%AI5_EndPalette) discard } bind def /Np { 0 (%AI5_End_NonPrinting--) discard } bind def /Ln /pop load def /Ap /pop load def /Ar { 72 exch div 0 dtransform dup mul exch dup mul add sqrt dup 1 lt { pop 1 } if setflat } def /Mb { q } def /Md { } def /MB { Q } def /nc 3 dict def nc begin /setgray { pop } bind def /setcmykcolor { 4 npop } bind def /setcustomcolor { 2 npop } bind def currentdict readonly pop end currentdict readonly pop end setpacking %%EndResource %%BeginResource: procset Adobe_cshow 2.0 8 %%Title: (Writing System Operators) %%Version: 2.0 %%CreationDate: (1/23/89) () %%Copyright: ((C) 1992 Adobe Systems Incorporated All Rights Reserved) currentpacking true setpacking userdict /Adobe_cshow 12 dict dup begin put /initialize { Adobe_cshow begin Adobe_cshow { dup xcheck { bind } if pop pop } forall end Adobe_cshow begin } def /terminate { currentdict Adobe_cshow eq { end } if } def /cforall { /_lobyte 0 ddef /_hibyte 0 ddef /_cproc exch ddef /_cscript currentfont /FontScript known { currentfont /FontScript get } { -1 } ifelse ddef { /_lobyte exch ddef _hibyte 0 eq _cscript 1 eq _lobyte 129 ge _lobyte 159 le and _lobyte 224 ge _lobyte 252 le and or and _cscript 2 eq _lobyte 161 ge _lobyte 254 le and and _cscript 3 eq _lobyte 161 ge _lobyte 254 le and and _cscript 25 eq _lobyte 161 ge _lobyte 254 le and and _cscript -1 eq or or or or and { /_hibyte _lobyte ddef } { _hibyte 256 mul _lobyte add _cproc /_hibyte 0 ddef } ifelse } forall } def /cstring { dup 256 lt { (s) dup 0 4 3 roll put } { dup 256 idiv exch 256 mod (hl) dup dup 0 6 5 roll put 1 4 3 roll put } ifelse } def /clength { 0 exch { 256 lt { 1 } { 2 } ifelse add } cforall } def /hawidthshow { { dup cstring show _hvax _hvay rmoveto _hvwb eq { _hvcx _hvcy rmoveto } if } cforall } def /vawidthshow { { dup 255 le _charorientation 1 eq and { -90 rotate 0 _fontRotateAdjust rmoveto cstring _hvcx _hvcy _hvwb _hvax _hvay 6 -1 roll awidthshow 0 _fontRotateAdjust neg rmoveto 90 rotate } { currentpoint _fontHeight sub exch _hvay sub exch _hvax sub 2 index _hvwb eq { exch _hvcy sub exch _hvcx sub } if 3 2 roll cstring dup stringwidth pop 2 div neg _fontAscent neg rmoveto show moveto } ifelse } cforall } def /hvawidthshow { 6 1 roll /_hvay exch ddef /_hvax exch ddef /_hvwb exch ddef /_hvcy exch ddef /_hvcx exch ddef _lineorientation 0 eq { hawidthshow } { vawidthshow } ifelse } def /hvwidthshow { 0 0 3 -1 roll hvawidthshow } def /hvashow { 0 0 0 6 -3 roll hvawidthshow } def /hvshow { 0 0 0 0 0 6 -1 roll hvawidthshow } def currentdict readonly pop end setpacking %%EndResource %%EndProlog %%BeginSetup %%IncludeFont: Times-Italic %%IncludeFont: Times-Roman Adobe_cshow /initialize get exec Adobe_level2_AI5 /initialize get exec Adobe_IllustratorA_AI5_vars Adobe_IllustratorA_AI5 Adobe_typography_AI5 /initialize get exec Adobe_IllustratorA_AI5 /initialize get exec [ 39/quotesingle 96/grave 128/Adieresis/Aring/Ccedilla/Eacute/Ntilde/Odieresis /Udieresis/aacute/agrave/acircumflex/adieresis/atilde/aring/ccedilla/eacute /egrave/ecircumflex/edieresis/iacute/igrave/icircumflex/idieresis/ntilde /oacute/ograve/ocircumflex/odieresis/otilde/uacute/ugrave/ucircumflex /udieresis/dagger/degree/cent/sterling/section/bullet/paragraph/germandbls /registered/copyright/trademark/acute/dieresis/.notdef/AE/Oslash /.notdef/plusminus/.notdef/.notdef/yen/mu/.notdef/.notdef /.notdef/.notdef/.notdef/ordfeminine/ordmasculine/.notdef/ae/oslash /questiondown/exclamdown/logicalnot/.notdef/florin/.notdef/.notdef /guillemotleft/guillemotright/ellipsis/.notdef/Agrave/Atilde/Otilde/OE/oe /endash/emdash/quotedblleft/quotedblright/quoteleft/quoteright/divide /.notdef/ydieresis/Ydieresis/fraction/currency/guilsinglleft/guilsinglright /fi/fl/daggerdbl/periodcentered/quotesinglbase/quotedblbase/perthousand /Acircumflex/Ecircumflex/Aacute/Edieresis/Egrave/Iacute/Icircumflex /Idieresis/Igrave/Oacute/Ocircumflex/.notdef/Ograve/Uacute/Ucircumflex /Ugrave/dotlessi/circumflex/tilde/macron/breve/dotaccent/ring/cedilla /hungarumlaut/ogonek/caron TE %AI55J_Tsume: None %AI3_BeginEncoding: _Times-Italic Times-Italic [/_Times-Italic /Times-Italic 0 0 1 TZ %AI3_EndEncoding TrueType %AI55J_Tsume: None %AI3_BeginEncoding: _Times-Roman Times-Roman [/_Times-Roman /Times-Roman 0 0 1 TZ %AI3_EndEncoding TrueType %AI5_Begin_NonPrinting Np %AI3_BeginPattern: (Yellow Stripe) (Yellow Stripe) 8.4499 4.6 80.4499 76.6 [ %AI3_Tile (0 O 0 R 0 0.4 1 0 k 0 0.4 1 0 K) @ ( 800 Ar 0 J 0 j 3.6 w 4 M []0 d %AI3_Note: 0 D 8.1999 8.1999 m 80.6999 8.1999 L S 8.1999 22.6 m 80.6999 22.6 L S 8.1999 37.0001 m 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310.8002 l b 0 O 1 g 257.77 318 m 276.4762 325.1997 l 257.77 318 257.77 318 y B 1 O 0 g 298.09 315.6 m 264.3941 315.6 264.3941 315.6 y 298.09 315.6 l b 359.285 343.7921 m 392.9808 343.7921 392.9808 343.7921 y 359.285 343.7921 l b 380.8988 353.1998 m 399.605 346 399.605 346 y 380.8988 353.1998 l b 0 O 1 g 399.605 346 m 380.8988 338.8003 l 399.605 346 399.605 346 y B 1 O 0 g 359.285 348.4 m 392.9808 348.4 392.9808 348.4 y 359.285 348.4 l b 415.285 483.7921 m 448.9808 483.7921 448.9808 483.7921 y 415.285 483.7921 l b 436.8988 493.1998 m 455.605 486 455.605 486 y 436.8988 493.1998 l b 0 O 1 g 455.605 486 m 436.8988 478.8003 l 455.605 486 455.605 486 y B 1 O 0 g 415.285 488.4 m 448.9808 488.4 448.9808 488.4 y 415.285 488.4 l b 1 Ap 0 O 1 g 1 G 341.7835 287.5131 m 341.7835 291.9869 L 301.8837 291.9869 L 301.8837 287.5131 L 341.7835 287.5131 L b 0 Ap 1 O 0 g 0 G 302.2361 287.3858 m 335.932 287.3858 335.932 287.3858 y 302.2361 287.3858 l b 323.8499 296.7935 m 342.5561 289.5937 342.5561 289.5937 y 323.8499 296.7935 l b 0 O 1 g 342.5561 289.5937 m 323.8499 282.394 l 342.5561 289.5937 342.5561 289.5937 y B 1 O 0 g 302.2361 291.9937 m 335.932 291.9937 335.932 291.9937 y 302.2361 291.9937 l b 1 Ap 0 O 1 g 1 G 240.7974 371.5131 m 240.7974 375.9869 L 200.8976 375.9869 L 200.8976 371.5131 L 240.7974 371.5131 L b 0 Ap 1 O 0 g 0 G 241.7575 376.0829 m 208.0617 376.0829 208.0617 376.0829 y 241.7575 376.0829 l b 220.1437 366.6752 m 201.4375 373.875 201.4375 373.875 y 220.1437 366.6752 l b 0 O 1 g 201.4375 373.875 m 220.1437 381.0747 l 201.4375 373.875 201.4375 373.875 y B 1 O 0 g 241.7575 371.475 m 208.0617 371.475 208.0617 371.475 y 241.7575 371.475 l b 1 Ap 0 O 1 g 1 G 469.3599 413.5267 m 469.3599 418.0005 L 429.4601 418.0005 L 429.4601 413.5267 L 469.3599 413.5267 L b 170.6961 301.2631 m 170.6961 305.7369 L 130.7963 305.7369 L 130.7963 301.2631 L 170.6961 301.2631 L b 0 Ap 1 O 0 g 0 G 130.3987 301.4795 m 164.0946 301.4795 164.0946 301.4795 y 130.3987 301.4795 l b 152.0125 310.8872 m 170.7187 303.6874 170.7187 303.6874 y 152.0125 310.8872 l b 0 O 1 g 170.7187 303.6874 m 152.0125 296.4877 l 170.7187 303.6874 170.7187 303.6874 y B 1 O 0 g 130.3987 306.0874 m 164.0946 306.0874 164.0946 306.0874 y 130.3987 306.0874 l b 469.57 418.1278 m 435.8741 418.1278 435.8741 418.1278 y 469.57 418.1278 l b 447.9562 408.7201 m 429.25 415.9199 429.25 415.9199 y 447.9562 408.7201 l b 0 O 1 g 429.25 415.9199 m 447.9562 423.1196 l 429.25 415.9199 429.25 415.9199 y B 1 O 0 g 469.57 413.5199 m 435.8741 413.5199 435.8741 413.5199 y 469.57 413.5199 l b 1 Ap 0 O 1 g 470.25 327.9199 m 472.5983 327.9199 474.502 329.8236 474.502 332.1719 c 474.502 334.5201 472.5983 336.4238 470.25 336.4238 c 467.9017 336.4238 465.998 334.5201 465.998 332.1719 c 465.998 329.8236 467.9017 327.9199 470.25 327.9199 c b 129.25 383.9199 m 131.5983 383.9199 133.502 385.8236 133.502 388.1719 c 133.502 390.5201 131.5983 392.4238 129.25 392.4238 c 126.9017 392.4238 124.998 390.5201 124.998 388.1719 c 124.998 385.8236 126.9017 383.9199 129.25 383.9199 c b 1 G 284.9474 427.4329 m 284.9474 431.9067 L 245.0476 431.9067 L 245.0476 427.4329 L 284.9474 427.4329 L b 0 Ap 1 O 0 g 0 G 244.5525 427.7119 m 278.2483 427.7119 278.2483 427.7119 y 244.5525 427.7119 l b 266.1663 437.1196 m 284.8725 429.9198 284.8725 429.9198 y 266.1663 437.1196 l b 0 O 1 g 284.8725 429.9198 m 266.1663 422.7201 l 284.8725 429.9198 284.8725 429.9198 y B 1 O 0 g 244.5525 432.3198 m 278.2483 432.3198 278.2483 432.3198 y 244.5525 432.3198 l b 1 Ap 0 O 1 g 1 G 397.9475 511.8079 m 397.9475 516.2817 L 358.0477 516.2817 L 358.0477 511.8079 L 397.9475 511.8079 L b 0 Ap 1 O 0 g 0 G 357.5526 512.0869 m 391.2484 512.0869 391.2484 512.0869 y 357.5526 512.0869 l b 379.1664 521.4946 m 397.8726 514.2948 397.8726 514.2948 y 379.1664 521.4946 l b 0 O 1 g 397.8726 514.2948 m 379.1664 507.0951 l 397.8726 514.2948 397.8726 514.2948 y B 1 O 0 g 357.5526 516.6948 m 391.2484 516.6948 391.2484 516.6948 y 357.5526 516.6948 l b 0 O 518.7614 278.48 m 528.7379 275.6 l 518.7614 272.72 l 518.7614 278.48 l b 65.5564 347 m 65.5564 276 l S 0 O 0 g 62.624 338 m 65.504 347.9766 l 68.384 338 l 62.624 338 l b 0 To 1 0 0 1 54.5564 355 0 Tp 0 Tv TP 0 Tr /_Times-Roman 14.4 12.9023 -3.1219 Tf 0 Ts 100 100 Tz 0 Tt %_0 0 100 100 Xu %AI55J_GlyphSubst: GlyphSubstNone 0 TA %_ 0 XL 0 TY 1 TV 43.1999 0 Xb XB 0 0 5 TC 100 100 200 TW 25 TG 0 0 0 Ti 0 Ta 0 0 2 2 3 Th 0 Tq 3 Tg 0 0 Tl 0 Tc 0 Tw (Time) Tx (\r) TX TO 0 To 1 0 0 1 517.8524 284.25 0 Tp 0 Tv TP 0 Tr (Space) Tx (\r) TX TO 0 To 1 0 0 1 294.0209 258.4959 0 Tp 0 Tv TP 0 Tr /_Times-Italic 14.4 13.391 -3.6281 Tf (O) Tx (\r) TX TO 0 R 0 G 7 w 299.25 358.8333 m 299.25 275.5 l B 1 Ap 1 g 1 w 299.25 354.5814 m 301.5983 354.5814 303.502 356.4851 303.502 358.8334 c 303.502 361.1816 301.5983 363.0853 299.25 363.0853 c 296.9017 363.0853 294.998 361.1816 294.998 358.8334 c 294.998 356.4851 296.9017 354.5814 299.25 354.5814 c b 0 Ap 0 g 7 w 356.25 458.1718 m 356.25 290.1718 l B 1 Ap 1 g 1 w 356.25 453.9199 m 358.5983 453.9199 360.502 455.8236 360.502 458.1719 c 360.502 460.5201 358.5983 462.4238 356.25 462.4238 c 353.9017 462.4238 351.998 460.5201 351.998 458.1719 c 351.998 455.8236 353.9017 453.9199 356.25 453.9199 c b 0 Ap 0 g 7 w 129.25 471.5 m 129.25 531 l B 186.25 373.1718 m 186.25 500.1718 l B 1 Ap 1 g 1 w 186.25 495.9199 m 188.5983 495.9199 190.502 497.8236 190.502 500.1719 c 190.502 502.5201 188.5983 504.4238 186.25 504.4238 c 183.9017 504.4238 181.998 502.5201 181.998 500.1719 c 181.998 497.8236 183.9017 495.9199 186.25 495.9199 c b 0 Ap 0 g 7 w 243.25 318.5 m 243.25 531 l B 299.25 530.5 m 299.25 430.5 l B 413.25 531 m 413.25 346 l B 470.25 485.5 m 470.25 531 l B 1 Ap 1 g 1 G 1 w 490.5886 523.4134 m 490.5886 537.5866 L 107.9114 537.5866 L 107.9114 523.4134 L 490.5886 523.4134 L b LB %AI5_EndLayer-- %%PageTrailer gsave annotatepage grestore showpage %%Trailer Adobe_IllustratorA_AI5 /terminate get exec Adobe_typography_AI5 /terminate get exec Adobe_level2_AI5 /terminate get exec Adobe_cshow /terminate get exec %%EOF %%EndDocument @endspecial 28099 w @beginspecial 56 @llx 244 @lly 555 @urx 543 @ury 2245 @rwi @setspecial %%BeginDocument: discr.eps %!PS-Adobe-3.0 EPSF-3.0 %%Creator: Adobe Illustrator(TM) 5.5J 95.01.01 %%For: (\226k\214\264\214\264\214\244) (\223\214\215H\221\345\201E\211\236\227p\225\250\227\235\212w\211\310) %%Title: (discr.eps) %%CreationDate: (2000.6.21) (17:28) %%BoundingBox: 56 244 555 543 %%HiResBoundingBox: 56.1906 244.7821 554.5594 542.9227 %%DocumentProcessColors: Black %%DocumentFonts: Times-Italic %%+ Times-Roman %%DocumentSuppliedResources: procset Adobe_level2_AI5 1.0 0 %%+ procset Adobe_typography_AI5 1.0 0 %%+ procset Adobe_IllustratorA_AI5 1.0 0 %%+ procset Adobe_cshow 2.0 8 %AI5_FileFormat 2.5 %AI3_ColorUsage: Black&White %AI3_TemplateBox: 306 396 306 396 %AI3_TileBox: 36 6 574 787 %AI3_DocumentPreview: Macintosh_ColorPic %AI5_ArtSize: 595.2756 841.8898 %AI5_RulerUnits: 1 %AI5_ArtFlags: 1 0 0 1 0 0 1 1 0 %AI5_TargetResolution: 800 %AI5_NumLayers: 1 %AI5_OpenToView: 2 588 1.5 914 670 18 0 1 213 69 %AI5_OpenViewLayers: 7 %%EndComments %%BeginProlog %%BeginResource: procset Adobe_level2_AI5 1.0 0 %%Title: (Adobe Illustrator (R) Version 5.0 Level 2 Emulation) %%Version: 1.0 %%CreationDate: (04/10/93) () %%Copyright: ((C) 1987-1993 Adobe Systems Incorporated All Rights Reserved) userdict /Adobe_level2_AI5 21 dict dup begin put /packedarray where not { userdict begin /packedarray { array astore readonly } bind def /setpacking /pop load def /currentpacking false def end 0 } if pop userdict /defaultpacking currentpacking put true setpacking /initialize { Adobe_level2_AI5 begin } bind def /terminate { currentdict Adobe_level2_AI5 eq { end } if } bind def mark /setcustomcolor where not { /findcmykcustomcolor { 5 packedarray } bind def /setcustomcolor { exch aload pop pop 4 { 4 index mul 4 1 roll } repeat 5 -1 roll pop setcmykcolor } def } if /gt38? mark {version cvx exec} stopped {cleartomark true} {38 gt exch pop} ifelse def userdict /deviceDPI 72 0 matrix defaultmatrix dtransform dup mul exch dup mul add sqrt put userdict /level2? systemdict /languagelevel known dup { pop systemdict /languagelevel get 2 ge } if put level2? not { /setcmykcolor where not { /setcmykcolor { exch .11 mul add exch .59 mul add exch .3 mul add 1 exch sub setgray } def } if /currentcmykcolor where not { /currentcmykcolor { 0 0 0 1 currentgray sub } def } if /setoverprint where not { /setoverprint /pop load def } if /selectfont where not { /selectfont { exch findfont exch dup type /arraytype eq { makefont } { scalefont } ifelse setfont } bind def } if /cshow where not { /cshow { [ 0 0 5 -1 roll aload pop ] cvx bind forall } bind def } if } if cleartomark /anyColor? { add add add 0 ne } bind def /testColor { gsave setcmykcolor currentcmykcolor grestore } bind def /testCMYKColorThrough { testColor anyColor? } bind def userdict /composite? level2? { gsave 1 1 1 1 setcmykcolor currentcmykcolor grestore add add add 4 eq } { 1 0 0 0 testCMYKColorThrough 0 1 0 0 testCMYKColorThrough 0 0 1 0 testCMYKColorThrough 0 0 0 1 testCMYKColorThrough and and and } ifelse put composite? not { userdict begin gsave /cyan? 1 0 0 0 testCMYKColorThrough def /magenta? 0 1 0 0 testCMYKColorThrough def /yellow? 0 0 1 0 testCMYKColorThrough def /black? 0 0 0 1 testCMYKColorThrough def grestore /isCMYKSep? cyan? magenta? yellow? black? or or or def /customColor? isCMYKSep? not def end } if end defaultpacking setpacking %%EndResource %%BeginResource: procset Adobe_typography_AI5 1.0 1 %%Title: (Typography Operators) %%Version: 1.0 %%CreationDate:(03/26/93) () %%Copyright: ((C) 1987-1993 Adobe Systems Incorporated All Rights Reserved) currentpacking true setpacking userdict /Adobe_typography_AI5 64 dict dup begin put /initialize { begin begin Adobe_typography_AI5 begin Adobe_typography_AI5 { dup xcheck { bind } if pop pop } forall end end end Adobe_typography_AI5 begin } def /terminate { currentdict Adobe_typography_AI5 eq { end } if } def /modifyEncoding { /_tempEncode exch ddef /_pntr 0 ddef { counttomark -1 roll dup type dup /marktype eq { pop pop exit } { /nametype eq { _tempEncode /_pntr dup load dup 3 1 roll 1 add ddef 3 -1 roll put } { /_pntr exch ddef } ifelse } ifelse } loop _tempEncode } def /havefont { systemdict /languagelevel known { /Font resourcestatus dup { exch pop exch pop } if } { systemdict /FontDirectory get 1 index known { pop true } { systemdict /fileposition known { dup length 6 add exch Ss 6 250 getinterval cvs pop Ss exch 0 exch getinterval status { pop pop pop pop true } { false } ifelse } { pop false } ifelse } ifelse } ifelse } def /TE { StandardEncoding 256 array copy modifyEncoding /_nativeEncoding exch def } def % /TZ { dup type /arraytype eq { /_wv exch def } { /_wv 0 def } ifelse /_useNativeEncoding exch def 2 index havefont { 2 index findfont } { dup 1 eq { 2 index 64 string cvs dup dup length 11 sub dup 0 le { pop pop pop true } { 11 getinterval dup (90pv-RKSJ-H) eq { 0 (83pv-RKSJ-H) putinterval cvn dup havefont { findfont false } { pop true } ifelse } { pop pop true } ifelse } ifelse { /Ryumin-Light-83pv-RKSJ-H havefont {/Ryumin-Light-83pv-RKSJ-H} {/Courier} ifelse findfont [1 0 0.5 1 0 0] makefont } if } { /Courier findfont } ifelse } ifelse _wv type /arraytype eq { _wv makeblendedfont } if dup length 10 add dict begin mark exch { 1 index /FID ne { def } if cleartomark mark } forall pop /FontScript exch def /FontDirection exch def /FontRequest exch def /FontName exch def counttomark 0 eq { 1 _useNativeEncoding eq { /Encoding _nativeEncoding def } if cleartomark } { /Encoding load 256 array copy modifyEncoding /Encoding exch def } ifelse FontName currentdict end definefont pop } def /tr { _ax _ay 3 2 roll } def /trj { _cx _cy _sp _ax _ay 6 5 roll } def /a0 { /Tx { dup currentpoint 3 2 roll tr _psf newpath moveto tr _ctm _pss } ddef /Tj { dup currentpoint 3 2 roll trj _pjsf newpath moveto trj _ctm _pjss } ddef } def /a1 { W B } def /e0 { /Tx { tr _psf } ddef /Tj { trj _pjsf } ddef } def /e1 { W F } def /i0 { /Tx { tr sp } ddef /Tj { trj jsp } ddef } def /i1 { W N } def /o0 { /Tx { tr sw rmoveto } ddef /Tj { trj swj rmoveto } ddef } def /r0 { /Tx { tr _ctm _pss } ddef /Tj { trj _ctm _pjss } ddef } def /r1 { W S } def /To { pop _ctm currentmatrix pop } def /TO { iTe _ctm setmatrix newpath } def /Tp { pop _tm astore pop _ctm setmatrix _tDict begin /W { } def /h { } def } def /TP { end iTm 0 0 moveto } def /Tr { _render 3 le { currentpoint newpath moveto } if dup 8 eq { pop 0 } { dup 9 eq { pop 1 } if } ifelse dup /_render exch ddef _renderStart exch get load exec } def /iTm { _ctm setmatrix _tm concat _shift aload pop _lineorientation 1 eq { exch } if translate _scale aload pop _lineorientation 1 eq _yokoorientation 1 eq or { exch } if scale } def /Tm { _tm astore pop iTm 0 0 moveto } def /Td { _mtx translate _tm _tm concatmatrix pop iTm 0 0 moveto } def /iTe { _render -1 eq { } { _renderEnd _render get dup null ne { load exec } { pop } ifelse } ifelse /_render -1 ddef } def /Ta { pop } def /Tf { 1 index type /nametype eq { dup 0.75 mul 1 index 0.25 mul neg } if /_fontDescent exch ddef /_fontAscent exch ddef /_fontSize exch ddef /_fontRotateAdjust _fontAscent _fontDescent add 2 div neg ddef /_fontHeight _fontSize ddef findfont _fontSize scalefont setfont } def /Tl { pop neg 0 exch _leading astore pop } def /Tt { pop } def /TW { 3 npop } def /Tw { /_cx exch ddef } def /TC { 3 npop } def /Tc { /_ax exch ddef } def /Ts { 0 exch _shift astore pop currentpoint iTm moveto } def /Ti { 3 npop } def /Tz { 100 div exch 100 div exch _scale astore pop iTm } def /TA { pop } def /Tq { pop } def /Tg { pop } def /TG { pop } def /Tv { /_lineorientation exch ddef } def /TV { /_charorientation exch ddef } def /Ty { dup /_yokoorientation exch ddef 1 sub neg Tv } def /TY { pop } def /T~ { Tx } def /Th { pop pop pop pop pop } def /TX { pop } def /Tk { _fontSize mul 1000 div _lineorientation 0 eq { neg 0 } { 0 exch } ifelse rmoveto pop } def /TK { 2 npop } def /T* { _leading aload pop _lineorientation 0 ne { exch } if Td } def /T*- { _leading aload pop _lineorientation 0 ne { exch } if exch neg exch neg Td } def /T- { _lineorientation 1 eq _charorientation 0 eq and { 1 TV _hyphen Tx 0 TV } { _hyphen Tx } ifelse } def /T+ { } def /TR { _ctm currentmatrix pop _tm astore pop iTm 0 0 moveto } def /TS { currentfont 3 1 roll /_Symbol_ findfont _fontSize scalefont setfont 0 eq { Tx } { Tj } ifelse setfont } def /Xb { pop pop } def /Tb /Xb load def /Xe { pop pop pop pop } def /Te /Xe load def /XB { } def /TB /XB load def currentdict readonly pop end setpacking % /X^ { currentfont 5 1 roll dup havefont { findfont _fontSize scalefont setfont } { pop exch } ifelse 2 index 0 eq { Tx } { Tj } ifelse pop pop setfont } def /T^ /X^ load def %%EndResource %%BeginResource: procset Adobe_IllustratorA_AI5 1.1 0 %%Title: (Adobe Illustrator (R) Version 5.0 Abbreviated Prolog) %%Version: 1.1 %%CreationDate: (3/7/1994) () %%Copyright: ((C) 1987-1994 Adobe Systems Incorporated All Rights Reserved) currentpacking true setpacking userdict /Adobe_IllustratorA_AI5_vars 92 dict dup begin put /_lp /none def /_pf { } def /_ps { } def /_psf { } def /_pss { } def /_pjsf { } def /_pjss { } def /_pola 0 def /_doClip 0 def /cf currentflat def /_lineorientation 0 def /_charorientation 0 def /_yokoorientation 0 def /_tm matrix def /_renderStart [ /e0 /r0 /a0 /o0 /e1 /r1 /a1 /i0 ] def /_renderEnd [ null null null null /i1 /i1 /i1 /i1 ] def /_render -1 def /_shift [0 0] def /_ax 0 def /_ay 0 def /_cx 0 def /_cy 0 def /_leading [ 0 0 ] def /_ctm matrix def /_mtx matrix def /_sp 16#020 def /_hyphen (-) def /_fontSize 0 def /_fontAscent 0 def /_fontDescent 0 def /_fontHeight 0 def /_fontRotateAdjust 0 def /Ss 256 string def Ss 0 (fonts/) putinterval /_scale [1 1] def /_nativeEncoding 0 def /_useNativeEncoding 0 def /_tempEncode 0 def /_pntr 0 def /_tDict 2 dict def /_wv 0 def /Tx { } def /Tj { } def /CRender { } def /_AI3_savepage { } def /_gf null def /_cf 4 array def /_if null def /_of false def /_fc { } def /_gs null def /_cs 4 array def /_is null def /_os false def /_sc { } def /_lobyte 0 def /_hibyte 0 def /_cproc null def /_cscript 0 def /_hvax 0 def /_hvay 0 def /_hvwb 0 def /_hvcx 0 def /_hvcy 0 def /_bitfont null def /_bitlobyte 0 def /_bithibyte 0 def /_bitkey null def /_bitdata null def /_bitindex 0 def /discardSave null def /buffer 256 string def /beginString null def /endString null def /endStringLength null def /layerCnt 1 def /layerCount 1 def /perCent (%) 0 get def /perCentSeen? false def /newBuff null def /newBuffButFirst null def /newBuffLast null def /clipForward? false def end userdict /Adobe_IllustratorA_AI5 80 dict dup begin put /initialize { Adobe_IllustratorA_AI5 dup begin Adobe_IllustratorA_AI5_vars begin discardDict { bind pop pop } forall dup /nc get begin { dup xcheck 1 index type /operatortype ne and { bind } if pop pop } forall end newpath } def /terminate { end end } def /_ null def /ddef { Adobe_IllustratorA_AI5_vars 3 1 roll put } def /xput { dup load dup length exch maxlength eq { dup dup load dup length 2 mul dict copy def } if load begin def end } def /npop { { pop } repeat } def /hswj { dup stringwidth 3 2 roll { _hvwb eq { exch _hvcx add exch _hvcy add } if exch _hvax add exch _hvay add } cforall } def /vswj { 0 0 3 -1 roll { dup 255 le _charorientation 1 eq and { dup cstring stringwidth 5 2 roll _hvwb eq { exch _hvcy sub exch _hvcx sub } if exch _hvay sub exch _hvax sub 4 -1 roll sub exch 3 -1 roll sub exch } { _hvwb eq { exch _hvcy sub exch _hvcx sub } if exch _hvay sub exch _hvax sub _fontHeight sub } ifelse } cforall } def /swj { 6 1 roll /_hvay exch ddef /_hvax exch ddef /_hvwb exch ddef /_hvcy exch ddef /_hvcx exch ddef _lineorientation 0 eq { hswj } { vswj } ifelse } def /sw { 0 0 0 6 3 roll swj } def /vjss { 4 1 roll { dup cstring dup length 1 eq _charorientation 1 eq and { -90 rotate currentpoint _fontRotateAdjust add moveto gsave false charpath currentpoint 5 index setmatrix stroke grestore _fontRotateAdjust sub moveto _sp eq { 5 index 5 index rmoveto } if 2 copy rmoveto 90 rotate } { currentpoint _fontHeight sub 5 index sub 3 index _sp eq { 9 index sub } if currentpoint exch 4 index stringwidth pop 2 div sub exch _fontAscent sub moveto gsave 2 index false charpath 6 index setmatrix stroke grestore moveto pop pop } ifelse } cforall 6 npop } def /hjss { 4 1 roll { dup cstring gsave false charpath currentpoint 5 index setmatrix stroke grestore moveto _sp eq { 5 index 5 index rmoveto } if 2 copy rmoveto } cforall 6 npop } def /jss { _lineorientation 0 eq { hjss } { vjss } ifelse } def /ss { 0 0 0 7 3 roll jss } def /vjsp { 4 1 roll { dup cstring dup length 1 eq _charorientation 1 eq and { -90 rotate currentpoint _fontRotateAdjust add moveto false charpath currentpoint _fontRotateAdjust sub moveto _sp eq { 5 index 5 index rmoveto } if 2 copy rmoveto 90 rotate } { currentpoint _fontHeight sub 5 index sub 3 index _sp eq { 9 index sub } if currentpoint exch 4 index stringwidth pop 2 div sub exch _fontAscent sub moveto 2 index false charpath moveto pop pop } ifelse } cforall 6 npop } def /hjsp { 4 1 roll { dup cstring false charpath _sp eq { 5 index 5 index rmoveto } if 2 copy rmoveto } cforall 6 npop } def /jsp { matrix currentmatrix _lineorientation 0 eq {hjsp} {vjsp} ifelse } def /sp { matrix currentmatrix 0 0 0 7 3 roll _lineorientation 0 eq {hjsp} {vjsp} ifelse } def /pl { transform 0.25 sub round 0.25 add exch 0.25 sub round 0.25 add exch itransform } def /setstrokeadjust where { pop true setstrokeadjust /c { curveto } def /C /c load def /v { currentpoint 6 2 roll curveto } def /V /v load def /y { 2 copy curveto } def /Y /y load def /l { lineto } def /L /l load def /m { moveto } def } { /c { pl curveto } def /C /c load def /v { currentpoint 6 2 roll pl curveto } def /V /v load def /y { pl 2 copy curveto } def /Y /y load def /l { pl lineto } def /L /l load def /m { pl moveto } def } ifelse /d { setdash } def /cf { } def /i { dup 0 eq { pop cf } if setflat } def /j { setlinejoin } def /J { setlinecap } def /M { setmiterlimit } def /w { setlinewidth } def /H { } def /h { closepath } def /N { _pola 0 eq { _doClip 1 eq { clip /_doClip 0 ddef } if newpath } { /CRender { N } ddef } ifelse } def /n { N } def /F { _pola 0 eq { _doClip 1 eq { gsave _pf grestore clip newpath /_lp /none ddef _fc /_doClip 0 ddef } { _pf } ifelse } { /CRender { F } ddef } ifelse } def /f { closepath F } def /S { _pola 0 eq { _doClip 1 eq { gsave _ps grestore clip newpath /_lp /none ddef _sc /_doClip 0 ddef } { _ps } ifelse } { /CRender { S } ddef } ifelse } def /s { closepath S } def /B { _pola 0 eq { _doClip 1 eq gsave F grestore { gsave S grestore clip newpath /_lp /none ddef _sc /_doClip 0 ddef } { S } ifelse } { /CRender { B } ddef } ifelse } def /b { closepath B } def /W { /_doClip 1 ddef } def /* { count 0 ne { dup type /stringtype eq { pop } if } if newpath } def /u { } def /U { } def /q { _pola 0 eq { gsave } if } def /Q { _pola 0 eq { grestore } if } def /*u { _pola 1 add /_pola exch ddef } def /*U { _pola 1 sub /_pola exch ddef _pola 0 eq { CRender } if } def /D { pop } def /*w { } def /*W { } def /` { /_i save ddef clipForward? { nulldevice } if 6 1 roll 4 npop concat pop userdict begin /showpage { } def 0 setgray 0 setlinecap 1 setlinewidth 0 setlinejoin 10 setmiterlimit [] 0 setdash /setstrokeadjust where {pop false setstrokeadjust} if newpath 0 setgray false setoverprint } def /~ { end _i restore } def /O { 0 ne /_of exch ddef /_lp /none ddef } def /R { 0 ne /_os exch ddef /_lp /none ddef } def /g { /_gf exch ddef /_fc { _lp /fill ne { _of setoverprint _gf setgray /_lp /fill ddef } if } ddef /_pf { _fc fill } ddef /_psf { _fc hvashow } ddef /_pjsf { _fc hvawidthshow } ddef /_lp /none ddef } def /G { /_gs exch ddef /_sc { _lp /stroke ne { _os setoverprint _gs setgray /_lp /stroke ddef } if } ddef /_ps { _sc stroke } ddef /_pss { _sc ss } ddef /_pjss { _sc jss } ddef /_lp /none ddef } def /k { _cf astore pop /_fc { _lp /fill ne { _of setoverprint _cf aload pop setcmykcolor /_lp /fill ddef } if } ddef /_pf { _fc fill } ddef /_psf { _fc hvashow } ddef /_pjsf { _fc hvawidthshow } ddef /_lp /none ddef } def /K { _cs astore pop /_sc { _lp /stroke ne { _os setoverprint _cs aload pop setcmykcolor /_lp /stroke ddef } if } ddef /_ps { _sc stroke } ddef /_pss { _sc ss } ddef /_pjss { _sc jss } ddef /_lp /none ddef } def /x { /_gf exch ddef findcmykcustomcolor /_if exch ddef /_fc { _lp /fill ne { _of setoverprint _if _gf 1 exch sub setcustomcolor /_lp /fill ddef } if } ddef /_pf { _fc fill } ddef /_psf { _fc hvashow } ddef /_pjsf { _fc hvawidthshow } ddef /_lp /none ddef } def /X { /_gs exch ddef findcmykcustomcolor /_is exch ddef /_sc { _lp /stroke ne { _os setoverprint _is _gs 1 exch sub setcustomcolor /_lp /stroke ddef } if } ddef /_ps { _sc stroke } ddef /_pss { _sc ss } ddef /_pjss { _sc jss } ddef /_lp /none ddef } def /A { pop } def /annotatepage { userdict /annotatepage 2 copy known {get exec} {pop pop} ifelse } def /discard { save /discardSave exch store discardDict begin /endString exch store gt38? { 2 add } if load stopped pop end discardSave restore } bind def userdict /discardDict 7 dict dup begin put /pre38Initialize { /endStringLength endString length store /newBuff buffer 0 endStringLength getinterval store /newBuffButFirst newBuff 1 endStringLength 1 sub getinterval store /newBuffLast newBuff endStringLength 1 sub 1 getinterval store } def /shiftBuffer { newBuff 0 newBuffButFirst putinterval newBuffLast 0 currentfile read not { stop } if put } def 0 { pre38Initialize mark currentfile newBuff readstring exch pop { { newBuff endString eq { cleartomark stop } if shiftBuffer } loop } { stop } ifelse } def 1 { pre38Initialize /beginString exch store mark currentfile newBuff readstring exch pop { { newBuff beginString eq { /layerCount dup load 1 add store } { newBuff endString eq { /layerCount dup load 1 sub store layerCount 0 eq { cleartomark stop } if } if } ifelse shiftBuffer } loop } { stop } ifelse } def 2 { mark { currentfile buffer readline not { stop } if endString eq { cleartomark stop } if } loop } def 3 { /beginString exch store /layerCnt 1 store mark { currentfile buffer readline not { stop } if dup beginString eq { pop /layerCnt dup load 1 add store } { endString eq { layerCnt 1 eq { cleartomark stop } { /layerCnt dup load 1 sub store } ifelse } if } ifelse } loop } def end userdict /clipRenderOff 15 dict dup begin put { /n /N /s /S /f /F /b /B } { { _doClip 1 eq { /_doClip 0 ddef clip } if newpath } def } forall /Tr /pop load def /Bb {} def /BB /pop load def /Bg {12 npop} def /Bm {6 npop} def /Bc /Bm load def /Bh {4 npop} def end /Lb { 4 npop 6 1 roll pop 4 1 roll pop pop pop 0 eq { 0 eq { (%AI5_BeginLayer) 1 (%AI5_EndLayer--) discard } { /clipForward? true def /Tx /pop load def /Tj /pop load def currentdict end clipRenderOff begin begin } ifelse } { 0 eq { save /discardSave exch store } if } ifelse } bind def /LB { discardSave dup null ne { restore } { pop clipForward? { currentdict end end begin /clipForward? false ddef } if } ifelse } bind def /Pb { pop pop 0 (%AI5_EndPalette) discard } bind def /Np { 0 (%AI5_End_NonPrinting--) discard } bind def /Ln /pop load def /Ap /pop load def /Ar { 72 exch div 0 dtransform dup mul exch dup mul add sqrt dup 1 lt { pop 1 } if setflat } def /Mb { q } def /Md { } def /MB { Q } def /nc 3 dict def nc begin /setgray { pop } bind def /setcmykcolor { 4 npop } bind def /setcustomcolor { 2 npop } bind def currentdict readonly pop end currentdict readonly pop end setpacking %%EndResource %%BeginResource: procset Adobe_cshow 2.0 8 %%Title: (Writing System Operators) %%Version: 2.0 %%CreationDate: (1/23/89) () %%Copyright: ((C) 1992 Adobe Systems Incorporated All Rights Reserved) currentpacking true setpacking userdict /Adobe_cshow 12 dict dup begin put /initialize { Adobe_cshow begin Adobe_cshow { dup xcheck { bind } if pop pop } forall end Adobe_cshow begin } def /terminate { currentdict Adobe_cshow eq { end } if } def /cforall { /_lobyte 0 ddef /_hibyte 0 ddef /_cproc exch ddef /_cscript currentfont /FontScript known { currentfont /FontScript get } { -1 } ifelse ddef { /_lobyte exch ddef _hibyte 0 eq _cscript 1 eq _lobyte 129 ge _lobyte 159 le and _lobyte 224 ge _lobyte 252 le and or and _cscript 2 eq _lobyte 161 ge _lobyte 254 le and and _cscript 3 eq _lobyte 161 ge _lobyte 254 le and and _cscript 25 eq _lobyte 161 ge _lobyte 254 le and and _cscript -1 eq or or or or and { /_hibyte _lobyte ddef } { _hibyte 256 mul _lobyte add _cproc /_hibyte 0 ddef } ifelse } forall } def /cstring { dup 256 lt { (s) dup 0 4 3 roll put } { dup 256 idiv exch 256 mod (hl) dup dup 0 6 5 roll put 1 4 3 roll put } ifelse } def /clength { 0 exch { 256 lt { 1 } { 2 } ifelse add } cforall } def /hawidthshow { { dup cstring show _hvax _hvay rmoveto _hvwb eq { _hvcx _hvcy rmoveto } if } cforall } def /vawidthshow { { dup 255 le _charorientation 1 eq and { -90 rotate 0 _fontRotateAdjust rmoveto cstring _hvcx _hvcy _hvwb _hvax _hvay 6 -1 roll awidthshow 0 _fontRotateAdjust neg rmoveto 90 rotate } { currentpoint _fontHeight sub exch _hvay sub exch _hvax sub 2 index _hvwb eq { exch _hvcy sub exch _hvcx sub } if 3 2 roll cstring dup stringwidth pop 2 div neg _fontAscent neg rmoveto show moveto } ifelse } cforall } def /hvawidthshow { 6 1 roll /_hvay exch ddef /_hvax exch ddef /_hvwb exch ddef /_hvcy exch ddef /_hvcx exch ddef _lineorientation 0 eq { hawidthshow } { vawidthshow } ifelse } def /hvwidthshow { 0 0 3 -1 roll hvawidthshow } def /hvashow { 0 0 0 6 -3 roll hvawidthshow } def /hvshow { 0 0 0 0 0 6 -1 roll hvawidthshow } def currentdict readonly pop end setpacking %%EndResource %%EndProlog %%BeginSetup %%IncludeFont: Times-Italic %%IncludeFont: Times-Roman Adobe_cshow /initialize get exec Adobe_level2_AI5 /initialize get exec Adobe_IllustratorA_AI5_vars Adobe_IllustratorA_AI5 Adobe_typography_AI5 /initialize get exec Adobe_IllustratorA_AI5 /initialize get exec [ 39/quotesingle 96/grave 128/Adieresis/Aring/Ccedilla/Eacute/Ntilde/Odieresis /Udieresis/aacute/agrave/acircumflex/adieresis/atilde/aring/ccedilla/eacute /egrave/ecircumflex/edieresis/iacute/igrave/icircumflex/idieresis/ntilde /oacute/ograve/ocircumflex/odieresis/otilde/uacute/ugrave/ucircumflex /udieresis/dagger/degree/cent/sterling/section/bullet/paragraph/germandbls /registered/copyright/trademark/acute/dieresis/.notdef/AE/Oslash /.notdef/plusminus/.notdef/.notdef/yen/mu/.notdef/.notdef /.notdef/.notdef/.notdef/ordfeminine/ordmasculine/.notdef/ae/oslash /questiondown/exclamdown/logicalnot/.notdef/florin/.notdef/.notdef /guillemotleft/guillemotright/ellipsis/.notdef/Agrave/Atilde/Otilde/OE/oe /endash/emdash/quotedblleft/quotedblright/quoteleft/quoteright/divide /.notdef/ydieresis/Ydieresis/fraction/currency/guilsinglleft/guilsinglright /fi/fl/daggerdbl/periodcentered/quotesinglbase/quotedblbase/perthousand /Acircumflex/Ecircumflex/Aacute/Edieresis/Egrave/Iacute/Icircumflex /Idieresis/Igrave/Oacute/Ocircumflex/.notdef/Ograve/Uacute/Ucircumflex /Ugrave/dotlessi/circumflex/tilde/macron/breve/dotaccent/ring/cedilla /hungarumlaut/ogonek/caron TE %AI55J_Tsume: None %AI3_BeginEncoding: _Times-Italic Times-Italic [/_Times-Italic /Times-Italic 0 0 1 TZ %AI3_EndEncoding TrueType %AI55J_Tsume: None %AI3_BeginEncoding: _Times-Roman Times-Roman [/_Times-Roman /Times-Roman 0 0 1 TZ %AI3_EndEncoding TrueType %AI5_Begin_NonPrinting Np %AI3_BeginPattern: (Yellow Stripe) (Yellow Stripe) 8.4499 4.6 80.4499 76.6 [ %AI3_Tile (0 O 0 R 0 0.4 1 0 k 0 0.4 1 0 K) @ ( 800 Ar 0 J 0 j 3.6 w 4 M []0 d %AI3_Note: 0 D 8.1999 8.1999 m 80.6999 8.1999 L S 8.1999 22.6 m 80.6999 22.6 L S 8.1999 37.0001 m 80.6999 37.0001 L S 8.1999 51.3999 m 80.6999 51.3999 L S 8.1999 65.8 m 80.6999 65.8 L S 8.1999 15.3999 m 80.6999 15.3999 L S 8.1999 29.8 m 80.6999 29.8 L S 8.1999 44.1999 m 80.6999 44.1999 L S 8.1999 58.6 m 80.6999 58.6 L S 8.1999 73.0001 m 80.6999 73.0001 L S ) & ] E %AI3_EndPattern %AI5_End_NonPrinting-- %AI5_Begin_NonPrinting Np 3 Bn %AI5_BeginGradient: (Black & White) (Black & White) 1 4 Bd [ < FFFEFDFCFBFAF9F7F6F5F4F3F2F1F0EFEEEDECEB > 0 %_Br < EBEAE9E8E7E6E5E4E3E2E1E0DFDEDDDCDBDAD9D8D7D6D5D4D3D2D1D0CFCECDCBCAC9C8C7C6C5C4C3 C2C1C0BFBEBDBCBBBAB9B8B7B6B5B4B3B2B1B0AFAEADACABAAA9A8A7A6A5A4A3A2A1A09F9E9D9C9B 9A999897969594939291908F8E8D8C8B8A898887868584838281807F7E7D7C7B7A79787776757473 7271706F6E6D6C6B6A696867666564636261605F5E5D5C5B5A595857565554535251504F4E4D4C4B 4A494847464544434241403F3E3D3C3B3A39383736353433 > 0 %_Br < 333231302F2E2D2C2B2A292827262524232221201F1E1D1C1B191817161514131211100F0E0D0C0B 0A09080706050403020100 > 0 %_Br [ 1 0 50 0 %_Bs 0.92 0 50 8 %_Bs 0.2 0 50 80 %_Bs 0 0 50 100 %_Bs BD %AI5_EndGradient %AI5_BeginGradient: (Red & Yellow) (Red & Yellow) 0 2 Bd [ 0 < 000102030405060708090A0B0C0D0E0F101112131415161718191A1B1C1D1E1F2021222324252627 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0 1 0 1 50 0 %_Bs BD %AI5_EndGradient %AI5_BeginGradient: (Yellow & Blue Radial) (Yellow & Blue Radial) 1 2 Bd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Pc 0.5 0 0 0 k Pc 0.75 0 0 0 k Pc 1 0 0 0 k Pc 0.25 0.25 0 0 k Pc 0.5 0.5 0 0 k Pc 0.75 0.75 0 0 k Pc 1 1 0 0 k Pc Bb 2 (Red & Yellow) -4014 4716 0 0 1 0 0 1 0 0 Bg 0 BB Pc 0 0.25 0 0 k Pc 0 0.5 0 0 k Pc 0 0.75 0 0 k Pc 0 1 0 0 k Pc 0 0.25 0.25 0 k Pc 0 0.5 0.5 0 k Pc 0 0.75 0.75 0 k Pc 0 1 1 0 k Pc Bb 0 0 0 0 Bh 2 (Yellow & Blue Radial) -4014 4716 0 0 1 0 0 1 0 0 Bg 0 BB Pc 0 0 0.25 0 k Pc 0 0 0.5 0 k Pc 0 0 0.75 0 k Pc 0 0 1 0 k Pc 0.25 0 0.25 0 k Pc 0.5 0 0.5 0 k Pc 0.75 0 0.75 0 k Pc 1 0 1 0 k Pc (Yellow Stripe) 0 0 1 1 0 0 0 0 0 [1 0 0 1 0 0] p Pc 0.25 0.125 0 0 k Pc 0.5 0.25 0 0 k Pc 0.75 0.375 0 0 k Pc 1 0.5 0 0 k Pc 0.125 0.25 0 0 k Pc 0.25 0.5 0 0 k Pc 0.375 0.75 0 0 k Pc 0.5 1 0 0 k Pc 0 0 0 0 k Pc 0 0.25 0.125 0 k Pc 0 0.5 0.25 0 k Pc 0 0.75 0.375 0 k Pc 0 1 0.5 0 k Pc 0 0.125 0.25 0 k Pc 0 0.25 0.5 0 k Pc 0 0.375 0.75 0 k Pc 0 0.5 1 0 k Pc 0 0 0 0 k Pc 0.125 0 0.25 0 k Pc 0.25 0 0.5 0 k Pc 0.375 0 0.75 0 k Pc 0.5 0 1 0 k Pc 0.25 0 0.125 0 k Pc 0.5 0 0.25 0 k Pc 0.75 0 0.375 0 k Pc 1 0 0.5 0 k Pc 0 0 0 0 k Pc 0.25 0.125 0.125 0 k Pc 0.5 0.25 0.25 0 k Pc 0.75 0.375 0.375 0 k Pc 1 0.5 0.5 0 k Pc 0.25 0.25 0.125 0 k Pc 0.5 0.5 0.25 0 k Pc 0.75 0.75 0.375 0 k Pc 1 1 0.5 0 k Pc 0 0 0 0 k Pc 0.125 0.25 0.125 0 k Pc 0.25 0.5 0.25 0 k Pc 0.375 0.75 0.375 0 k Pc 0.5 1 0.5 0 k Pc 0.125 0.25 0.25 0 k Pc 0.25 0.5 0.5 0 k Pc 0.375 0.75 0.75 0 k Pc 0.5 1 1 0 k Pc 0 0 0 0 k Pc 0.125 0.125 0.25 0 k Pc 0.25 0.25 0.5 0 k Pc 0.375 0.375 0.75 0 k Pc 0.5 0.5 1 0 k Pc 0.25 0.125 0.25 0 k Pc 0.5 0.25 0.5 0 k Pc 0.75 0.375 0.75 0 k Pc 1 0.5 1 0 k Pc PB %AI5_EndPalette %%EndSetup %AI5_BeginLayer 1 1 1 1 0 0 0 79 128 255 Lb (\203\214\203C\203\204\201| 1) Ln 0 A 1 O 0 g 0 R 0 G 800 Ar 0 J 0 j 1 w 4 M []0 d %AI3_Note: 0 D 304.4844 270.4303 m 337.1626 278.6448 337.1626 278.6448 y 304.4844 270.4303 l b 327.739 266.5758 m 344.125 278.1185 344.125 278.1185 y 327.739 266.5758 l b 0 O 1 g 344.125 278.1185 m 324.2286 280.5404 l 344.125 278.1185 344.125 278.1185 y B 1 O 0 g 305.6078 265.9616 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485.4537 528.2495 m 485.4537 542.4227 L 102.7765 542.4227 L 102.7765 528.2495 L 485.4537 528.2495 L b 0 Ap 0 G 67.1906 266.1393 m 529.9112 266.1393 l S LB %AI5_EndLayer-- %%PageTrailer gsave annotatepage grestore showpage %%Trailer Adobe_IllustratorA_AI5 /terminate get exec Adobe_typography_AI5 /terminate get exec Adobe_level2_AI5 /terminate get exec Adobe_cshow /terminate get exec %%EOF %%EndDocument @endspecial 312 15853 a FC(Figure)404 b(1:)538 b(Graphical)404 b(represen)-34 b(tation)405 b(of)g(the)f(con)-34 b(tact)405 b(pro)34 b(cess)404 b(and)h(the)f(discretized)g(con)-34 b(tact)405 b(pro)34 b(cess.)-638 20849 y(The)405 b(main)f(result)g(for) g(the)h(discretized)e(con)-34 b(tact)405 b(pro)34 b(cess)404 b(is)g(the)g(follo)-34 b(wing)405 b(theorem:)-2520 23350 y Fs(Prop)39 b(osition)489 b(2.1)f(\(Discretized)g(results\).)565 b Fx(L)-62 b(et)452 b FB(d)370 b(>)g FC(4)452 b Fx(and)g FB(\016)416 b Fy(2)371 b FC(\(0)p FB(;)202 b FC(1)283 b Fy(^)g FC(\001)g Fy(^)36753 22873 y Fz(d)p 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1051 V 42294 1038 V 42288 1025 V 42282 1013 V 42277 999 V 42271 987 V 42265 974 V 42259 962 V 42253 949 V 42247 937 V 42241 924 V 42235 912 V 42229 899 V 42223 887 V 42217 875 V 42211 862 V 42205 850 V 42199 838 V 42193 825 V 42186 813 V 42180 800 V 42173 788 V 42167 776 V 42161 764 V 42154 752 V 42148 740 V 42141 727 V 42135 715 V 42128 703 V 42122 691 V 42115 679 V 42109 667 V 42102 655 V 42095 643 V 42088 631 V 42081 619 V 42074 607 V 42067 595 V 42061 584 V 42054 572 V 42047 560 V 42040 548 V 42033 537 V 42026 525 V 42019 513 V 42012 501 V 42004 489 V 41997 478 V 41989 466 V 41982 455 V 41975 443 V 41968 432 V 41960 420 V 41953 409 V 41945 397 V 41938 386 V 41931 374 V 41923 363 V 41916 351 V 41908 340 V 41900 328 V 41892 317 V 41884 306 V 41877 295 V 41869 284 V 41861 272 V 41853 261 V 41845 250 V 41838 239 V 41830 228 V 41822 217 V 41814 206 V 40386 -1309 a FC(\()p FB(x;)g(t)p FC(\))40386 12494 y(\()p FB(o;)g FC(0\))10237 17452 y(Figure)404 b(4:)539 b(Graphical)404 b(represen)-34 b(tations)405 b(of)f FB(\031)31663 16868 y Fm(\(0\))31620 17773 y Fz(t)32764 17452 y FB(;)202 b(\031)34037 16868 y Fm(\(1\))33994 17773 y Fz(t)35542 17452 y FC(and)405 b FB(\031)38633 16868 y Fm(\(2\))38590 17773 y Fz(t)39735 17452 y FC(.)-2520 20937 y Fx(wher)-62 b(e)433 b FB(\031)1594 21119 y Fz(t)1989 20937 y FC(\()p FB(x)p FC(\))337 b(=)5241 20028 y Fr(P)6520 20379 y FM(1)6520 21296 y Fz(N)94 b Fw(=0)8619 20937 y FC(\()p Fy(\000)p FC(1\))11110 20498 y Fz(N)12007 20937 y FB(\031)12741 20354 y Fm(\()p Fp(N)72 b Fm(\))12698 21259 y Fz(t)14151 20937 y FC(\()p FB(x)p FC(\))434 b Fx(with)17893 23496 y FB(\031)18627 22913 y Fm(\()p Fp(N)72 b Fm(\))18584 23817 y Fz(t)20037 23496 y FC(\()p FB(x)p FC(\))337 b(=)23288 22345 y Fr(X)23476 25000 y Fz(~)23578 25234 y(b)23981 25383 y Fp(N)25241 23496 y FA(P)25982 22514 y Fr(\000)26818 23190 y FC(~)26538 23496 y FB(E)27503 22913 y Fm(\()p Fp(N)72 b Fm(\))27331 23908 y Fz(~)27433 24141 y(b)27836 24290 y Fp(N)28911 23496 y FC(\()p FB(x;)202 b(t)p FC(\))31523 22514 y Fr(\001)32079 23496 y FB(:)17921 b FC(\(3.5\))-638 27340 y(Note)495 b(that)h(the)f(sum)h(o)-34 b(v)g(er)494 b FB(N)627 b FC(in)495 b(\(3.5\))g(is)g(a)g(\014nite)g(sum,)518 b(as)495 b(long)g(as)f FB(t=")h FC(is)g(\014nite,)517 b(since)495 b(eac)-34 b(h)495 b(of)g(the)g(b)34 b(onds)-2520 28846 y FB(b)-2000 29028 y Fw(1)-1474 28846 y FB(;)202 b(:)g(:)g(:)f(;)h(b)1740 29034 y Fz(N)3002 28846 y FC(eats)367 b(up)f(at)h(least)e(a)h(time)g(displacemen)-34 b(t)367 b FB(")p FC(,)373 b(so)366 b(that)h FB(\031)28365 28262 y Fm(\()p Fp(N)72 b Fm(\))28322 29167 y Fz(t)29775 28846 y FC(\()p FB(x)p FC(\))337 b(=)f(0)366 b(for)g FB(N)469 b(>)336 b(t=")p FC(.)526 b(The)366 b(ab)34 b(o)-34 b(v)g(e)367 b(prop)34 b(osition)-2520 30351 y(is)361 b(equiv)-67 b(alen)-34 b(t)360 b(to)h([24,)369 b(Prop)34 b(osition)361 b(4.1],)369 b(in)361 b(whic)-34 b(h)362 b(the)f(expansion)g(w)-34 b(as)362 b(p)34 b(erformed)361 b(a)g(\014nite)g(n)-34 b(um)g(b)34 b(er)362 b(of)f(times,)369 b(and)-2520 31857 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b(at)538 b(least)f(one)h(of)g(the)g (t)-34 b(w)g(o)539 b(nonzero)f(disjoin)-34 b(t)538 b(connections,)p 46689 69950 521 49 v 572 w FB(b)559 b Fy(!)g Fd(x)537 b FC(and)-2520 72442 y Fd(o)378 b Fy(!)f Fd(x)p FC(,)434 b(has)429 b(to)g(use)g(another)h(spatial)e(b)34 b(ond)430 b(at)f Fd(x)p FC(.)612 b(Therefore,)434 b(w)-34 b(e)429 b(can)g(b)34 b(ound)429 b(the)h(righ)-34 b(t-hand)430 b(side)e(of)524 b(\(4.21\))429 b(b)-34 b(y)24548 75763 y(24)p eop end %%Page: 25 25 TeXDict begin 25 24 bop -2520 -1931 a FB(\025"L)p FC(\()p Fd(o)q FB(;)202 b Fd(o)o FC(;)g Fd(x)p FC(\))468 b(using)g(the)g Fx(BK)492 b(ine)-62 b(quality)465 b FC([4,)i(7],)483 b(whic)-34 b(h)469 b(asserts)f(that)h FA(P)p FC(\()p FB(E)33294 -1749 y Fw(1)34131 -1931 y Fy(\016)312 b FB(E)35944 -1749 y Fw(2)36470 -1931 y FC(\))443 b Fy(\024)f FA(P)p FC(\()p FB(E)40876 -1749 y Fw(1)41402 -1931 y FC(\))202 b FA(P)p FC(\()p FB(E)44182 -1749 y Fw(2)44708 -1931 y FC(\))468 b(for)g(increasing)-2520 -425 y(ev)-34 b(en)g(ts)405 b FB(E)2052 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28073 y(b)34 b(ound)338 b(on)e(\005)3674 27633 y Fm(\()p Fp(N)72 b Fm(;)p Fp(n;)p Fm(1\))6486 28073 y FC(\()p Fd(x)q FC(\),)349 b(w)-34 b(e)337 b(obtain)g(\(4.20\))q (.)516 b(This)336 b(completes)h(the)f(pro)34 b(of)337 b(the)f(second)h(inequalit)-34 b(y)336 b(in)g(\(4.1\))q(,)349 b(and)337 b(hence)-2520 29578 y(the)405 b(pro)34 b(of)404 b(of)h(Lemma)e(4.1.)p 51949 29578 45 819 v 51994 28804 728 45 v 51994 29578 V 52721 29578 45 819 v -2520 32805 a FD(4.2)1495 b(Estimate)500 b(of)e(the)g(diagram)i(functions)g(ab)42 b(o)-42 b(v)g(e)499 b(four)f(dimensions)-2520 35093 y FC(In)456 b(this)g(section,)468 b(w)-34 b(e)456 b(pro)-34 b(v)g(e)456 b(Lemma)f(4.2\(i\))h(b)-34 b(y)456 b(using)g(the)g (inductiv)-34 b(e)456 b(construction)h(of)f FB(P)40506 34653 y Fm(\()p Fp(N)72 b Fm(\))41915 35093 y FC(\()p Fd(x)p FC(\))456 b(and)46792 34786 y(~)46521 35093 y FB(P)47467 34653 y Fm(\()p Fp(N)72 b Fm(;)p Fp(n)p Fm(\))49621 35093 y FC(\()p Fd(x)p FC(\))456 b(in)-2520 36598 y(\(4.19\))q ({\(4.20\))405 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b(4.5.)587 b Fx(Assume)577 b FC(\(2.24\))489 b Fx(for)f FB(s)435 b Fy(\024)h FB(t)p Fx(.)720 b(L)-62 b(et)488 b FB(f)22145 53602 y Fz(t)22541 53420 y FC(\()p FB(x)p FC(\))g Fx(b)-62 b(e)488 b(a)g(diagr)-62 b(am)486 b(function)h(that)g(satis\014es)43996 52511 y Fr(P)45275 53779 y Fz(x)46062 53420 y FB(f)46655 53602 y Fz(t)47051 53420 y FC(\()p FB(x)p FC(\))436 b Fy(\024)f FB(F)168 b FC(\()p FB(t)p FC(\))-2520 54926 y Fx(by)474 b(assigning)f FB(l)4770 55108 y Fw(1)5770 54926 y Fx(or)h FB(l)7737 55108 y FM(1)9207 54926 y Fx(norm)h(to)f(e)-62 b(ach)472 b(diagr)-62 b(am)473 b(line)h(and)g(using)581 b FC(\(2.24\))475 b Fx(to)e(estimate)f(those)h(norms.)679 b(Then)475 b(ther)-62 b(e)-2520 56431 y(exists)499 b FB(c)458 b(<)f Fy(1)501 b Fx(dep)-62 b(ending)499 b(only)h(on)g FB(d)h Fx(and)f FB(K)587 b Fx(in)594 b FC(\(2.24\))501 b Fx(such)e(that)30951 55522 y Fr(P)32231 56790 y Fz(x)33018 56431 y FB(f)33611 56613 y Fz(t)34006 56431 y FC(\()p FB(x;)202 b(B)36689 55991 y Fz(`)37129 56431 y FC(\()p 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bop -2520 -1931 a Fx(Pr)-62 b(o)g(of)433 b(of)g(L)-62 b(emma)434 b(4.2\(i\))d(assuming)h(L)-62 b(emmas)433 b(4.4{4.6.)603 b FC(F)-101 b(or)453 b(\(4.2\),)464 b(w)-34 b(e)453 b(only)g(consider)f FB(q)461 b FC(=)418 b(0;)476 b(the)453 b(other)g(cases)f(in)-2520 -425 y(\(4.2\))444 b(are)f(pro)-34 b(v)g(ed)443 b(along)h(the)f(same)h(argumen)-34 b(t)444 b(in)f(the)h(last)f(paragraph)h(of)g([18,)452 b(Section)444 b(4.2].)655 b(F)-101 b(or)443 b FB(s)45849 -865 y FM(0)46561 -425 y Fy(\024)402 b FB(s)g(<)g(t)p FC(,)452 b(w)-34 b(e)-2520 1080 y(use)405 b(Lemma)e(4.4)h(to)h(obtain) 12805 3593 y(sup)13069 4556 y Fz(u;v)14832 2441 y Fr(X)15442 4987 y Fz(x)16785 3593 y FB(L)p FC(\(\()p FB(u;)202 b(s)p FC(\))p FB(;)g FC(\()p FB(v)43 b(;)202 b(s)23572 3092 y FM(0)23883 3593 y FC(\);)g(\()p FB(x;)g(t)p FC(\)\))337 b Fy(\024)32460 2773 y FB(c\014)64 b(")p 29726 3314 7309 49 v 29726 4475 a FC(\(1)269 b(+)g FB(t)h Fy(\000)f FB(s)34772 4125 y FM(0)35082 4475 y FC(\))35553 4123 y Fz(d=)p Fw(2)37167 3593 y 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Fw(2)7940 64138 y FC(\()p FB(D)303 b Fy(\003)269 b FB(\034)11123 64320 y Fz(s)11883 64138 y Fy(\003)g FB(D)34 b FC(\)\()p FB(x)p FC(\))337 b Fy(\024)f FC(2)18326 62986 y Fr(X)18953 65532 y Fz(y)20077 64138 y FC(\()p Fy(j)p FB(y)43 b Fy(j)21859 63637 y Fw(2)22655 64138 y FC(+)269 b Fy(j)p FB(x)g Fy(\000)g FB(y)43 b Fy(j)27352 63637 y Fw(2)27878 64138 y FC(\))202 b(\()p FB(D)304 b Fy(\003)269 b FB(\034)31735 64384 y Fz(s=)p Fw(2)33166 64138 y FC(\)\()p FB(y)43 b FC(\))202 b(\()p FB(\034)36419 64384 y Fz(s=)p Fw(2)38122 64138 y Fy(\003)270 b FB(D)34 b FC(\)\()p FB(x)269 b Fy(\000)g FB(y)43 b FC(\))16239 67662 y Fy(\024)336 b FC(4)18124 66316 y Fr(h)18899 67662 y FC(sup)19546 68625 y Fz(x)20724 67662 y FC(\()p FB(\034)21725 67909 y Fz(s=)p Fw(2)23426 67662 y Fy(\003)269 b FB(D)34 b FC(\)\()p FB(x)p FC(\))27445 66316 y Fr(i)28220 66510 y(X)28830 69056 y Fz(x)30173 67662 y Fy(j)p FB(x)p Fy(j)31540 67161 y Fw(2)32064 67662 y FC(\()p FB(\034)33065 67909 y Fz(s=)p Fw(2)34766 67662 y Fy(\003)270 b FB(D)34 b FC(\)\()p FB(x)p FC(\))p FB(:)-2520 70937 y FC(W)-101 b(e)464 b(obtain)h(\(4.29\))q({\(4.30\))g(for)f FB(q)481 b FC(=)436 b(2)464 b(b)-34 b(y)465 b(applying)482 b(\(4.34\))464 b(to)h(\()p FB(\034)28986 71183 y Fz(s=)p Fw(2)30727 70937 y Fy(\003)310 b FB(D)34 b FC(\)\()p FB(x)p FC(\))464 b(and)h(using)482 b(\(2.24\),)d(as)465 b(ab)34 b(o)-34 b(v)g(e.)719 b(This)-2520 72442 y(completes)404 b(the)h(pro)34 b(of)404 b(of)h(Lemma)e(4.4.)p 51949 72442 45 819 v 51994 71668 728 45 v 51994 72442 V 52721 72442 45 819 v 24548 75763 a(27)p eop end %%Page: 28 28 TeXDict begin 28 27 bop -2520 -1931 a Fx(Pr)-62 b(o)g(of)433 b(of)g(L)-62 b(emma)434 b(4.5.)604 b FC(By)473 b(de\014nition,)491 b(the)474 b(case)f(of)h FB(s)452 b FC(=)g FB(t)473 b FC(is)g(trivial.)745 b(F)-101 b(or)474 b FB(s)452 b(<)g(t)p FC(,)490 b(Construction)475 b FB(B)46219 -2371 y Fz(`)46659 -1931 y FC(\()p FB(s)p FC(\))f(replaces)-2520 -425 y(the)405 b(diagram)f(line)g FB(`)p FC(,)f(sa)-34 b(y)405 b FB(\034)10445 -243 y 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FC(and)47176 15136 y Fr(P)48456 15487 y FM(\017)48456 16404 y Fz(t=)p Fw(2)p Fz()f FC(0)597 b(if)g FB(b)657 b FC(=)h(2,)644 b(otherwise)597 b FB(\024)658 b FC(=)f(0.)1117 b(Also,)644 b(the)597 b(sum)g(in)g(the)g(\014rst)g(term)g(of)691 b(\(4.36\))597 b(is)g(b)34 b(ounded)598 b(b)-34 b(y)-2520 33282 y FB(c=)p FC(\(1)270 b(+)f FB(t)p FC(\))2079 32842 y Fw(\()p Fz(a)p FM(\000)p Fw(2\))p FM(^)p Fw(0)p FM(\000)p Fz(\024)6940 33282 y FC(,)404 b(where)g FB(\024)337 b(>)f FC(0)404 b(if)h FB(a)336 b FC(=)g(2,)404 b(and)h(zero)e(otherwise.)-638 34787 y(Next,)364 b(w)-34 b(e)355 b(consider)g(the)g(case)f(that)i FB(a)e FC(or)g FB(b)h FC(is)f(negativ)-34 b(e.)522 b(Due)355 b(to)g(the)g(symmetry)f(of)h(the)g(left-hand)h(side)e(of)450 b(\(4.31\))-2520 36293 y(in)434 b(terms)f(of)h FB(s)4308 36475 y Fw(1)4834 36293 y FB(;)202 b(s)5941 36475 y Fw(2)6467 36293 y FC(,)440 b(w)-34 b(e)434 b(supp)34 b(ose)434 b FB(b)386 b(<)g(a)288 b Fy(^)h FC(0.)627 b(Then)434 b(w)-34 b(e)434 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52721 39304 45 819 v -2520 42483 a FD(4.3)1495 b(Estimate)500 b(of)e(the)g(diagram)i(functions)g(at)f(and)g(b)42 b(elo)-42 b(w)498 b(four)h(dimensions)-2520 44771 y FC(In)g(this)g (section,)523 b(w)-34 b(e)499 b(pro)-34 b(v)g(e)499 b(the)g(b)34 b(ounds)500 b(in)f(Lemma)f(4.2\(ii\))h(on)g(the)g(diagram)g(functions)h (for)f FB(d)494 b Fy(\024)h FC(4.)822 b(As)499 b(in)g(the)-2520 46276 y(pro)34 b(of)425 b(of)f(Lemma)g(4.2\(i\))g(in)g(Section)h(4.2,)j (w)-34 b(e)425 b(will)e(use)i(the)f(inductiv)-34 b(e)425 b(construction)g(of)f FB(P)40600 45837 y Fm(\()p Fp(N)72 b Fm(\))42010 46276 y FC(\()p Fd(x)p FC(\))424 b(and)46824 45970 y(~)46552 46276 y FB(P)47498 45837 y Fm(\()p Fp(N)72 b Fm(;)p Fp(n)p Fm(\))49653 46276 y FC(\()p Fd(x)p FC(\))424 b(in)-2520 47782 y(\(4.19\))q({\(4.20\))405 b(and)g(Lemmas)e(4.4{4.6,)h (with)h FB(\033)447 b FC(and)405 b FB(\014)467 b FC(in)405 b(Lemma)e(4.4)h(replaced)g(b)-34 b(y)404 b FB(\033)38558 47970 y Fz(T)39696 47782 y FC(and)g FB(\014)42738 47970 y Fz(T)43472 47782 y FC(,)g(resp)34 b(ectiv)-34 b(ely)-101 b(.)-2520 50213 y Fx(Pr)-62 b(o)g(of)433 b(of)g(L)-62 b(emma)434 b(4.2\(ii\).)603 b FC(The)339 b(pro)34 b(of)339 b(is)f(almost)h(the)g(same)f(as)h(that)g(of)g(Lemma)f(4.2\(i\).)517 b(The)339 b(only)f(di\013erence)g(arises)-2520 51718 y(when)467 b(w)-34 b(e)466 b(apply)g(Lemma)g(4.6.)723 b(Let)466 b FB(N)571 b Fy(\025)440 b FC(1)465 b(and)i(supp)34 b(ose)467 b(that)g(the)f(quan)-34 b(tit)g(y)467 b(in)f(the)g(\014rst)h (brac)-34 b(k)g(ets)466 b(in)g(\(4.33\))h(is)-2520 53223 y(b)34 b(ounded)445 b(b)-34 b(y)444 b FB(c")5282 52784 y Fw(3)5808 53223 y FB(C)87 b(\014)7447 53411 y Fz(T)8180 53223 y FC(\()p FB(C)9777 52904 y FC(^)9604 53223 y FB(\014)10290 53411 y Fz(T)11024 53223 y FC(\))11495 52784 y Fz(N)94 b FM(\000)p Fw(1)13594 53223 y FB(=)p FC(\(1)296 b(+)f FB(t)p FC(\))17720 52784 y Fz(d=)p Fw(2)19201 53223 y FC(,)453 b(where)23708 52904 y(^)23535 53223 y FB(\014)24221 53411 y Fz(T)25357 53223 y FC(=)402 b FB(\014)27388 53405 y Fw(1)27913 53223 y FB(T)28789 52784 y FM(\000)p Fz(\026)30586 53223 y FC(with)445 b FB(\026)402 b Fy(2)h FC(\(0)p FB(;)202 b(\013)t FC(\).)657 b(Then)445 b(b)-34 b(y)443 b(Lemma)g(4.6)g(and) -2520 54729 y(\(4.32\))405 b(with)g FB(\014)468 b FC(replaced)403 b(b)-34 b(y)405 b FB(\014)12051 54917 y Fz(T)12784 54729 y FC(,)f(the)g(righ)-34 b(t-hand)406 b(side)e(of)499 b(\(4.33\))405 b(for)f FB(d)337 b Fy(\024)f FC(4)404 b(is)g(b)34 b(ounded)405 b(b)-34 b(y)8583 57095 y FB(cC)87 b(\014)10811 56656 y Fw(2)10747 57455 y Fz(T)11480 57095 y FC(\()p FB(C)13077 56776 y FC(^)12904 57095 y FB(\014)13590 57283 y Fz(T)14324 57095 y FC(\))14795 56656 y Fz(N)94 b FM(\000)p Fw(1)16894 57095 y FB(")17459 56656 y Fw(2)p 8583 57649 9403 49 v 9016 59095 a FC(\(1)270 b(+)f FB(t)p FC(\))12617 58255 y Fp(d)p 12617 58416 427 40 v 12627 58965 a Fm(2)13176 58617 y FM(^)p Fw(\()p Fz(d)p FM(\000)p Fw(2\))p FM(\000)p Fz(\024)18454 57927 y FC(=)19867 57107 y FB(C)87 b(\014)21506 57295 y Fz(T)22239 57107 y FC(\()p 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49 v 38751 43553 a FC(\(1)270 b(+)f FB(m")p FC(\))43410 43201 y Fz(d=)p Fw(2)45477 42671 y FB(:)3917 b FC(\(5.13\))-638 45837 y(Instead)405 b(of)499 b(\(5.11\),)404 b(w)-34 b(e)405 b(can)f(write)g FB(f)16659 46019 y Fz(m)17547 45837 y FC(\()p FB(k)38 b FC(\))405 b(as)14496 48839 y FB(f)15089 49021 y Fz(m)15977 48839 y FC(\()p FB(k)38 b FC(\))337 b(=)g FB(f)19798 49021 y Fz(m)20686 48839 y FC(\(0\))22795 47324 y Fz(m)22437 47688 y Fr(Y)22464 50323 y Fz(l)11 b Fw(=1)23986 48839 y FC([1)269 b Fy(\000)g FB("v)27563 49036 y Fz(l)28111 48839 y FB(a)p FC(\()p FB(k)38 b FC(\))270 b(+)f FB(")202 b(s)33180 49036 y Fz(l)33528 48839 y FC(\()p FB(k)38 b FC(\)])p FB(;)13918 b FC(\(5.14\))-2520 51967 y(where)5120 54667 y FB(f)5713 54849 y Fz(m)6601 54667 y FC(\(0\))337 b(=)10124 53151 y Fz(m)9766 53515 y Fr(Y)9793 56150 y Fz(l)11 b Fw(=1)11314 54667 y FC([1)270 b(+)f FB(")202 b(r)15053 54864 y Fz(l)15399 54667 y FC(\(0\)])p FB(;)7640 b(s)25829 54864 y Fz(l)26176 54667 y FC(\()p FB(k)38 b FC(\))337 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FB(\033)29238 67241 y Fw(2)30033 67741 y FC(+)270 b Fy(r)32256 67241 y Fw(2)32781 67741 y FB(s)33349 67938 y Fz(l)33696 67741 y FC(\(0\))35244 66759 y Fr(\003)35750 67741 y FB(:)13644 b FC(\(5.17\))-638 70937 y(The)379 b(adv)-67 b(ancemen)-34 b(t)379 b(of)g(the)f(induction) i(h)-34 b(yp)34 b(otheses)379 b(is)f(a)h(small)f(mo)34 b(di\014cation)379 b(of)f(that)i(in)e([17],)383 b(whic)-34 b(h)379 b(w)-34 b(e)379 b(add)g(to)-2520 72442 y(k)-34 b(eep)404 b(this)h(pap)34 b(er)404 b(self-con)-34 b(tained.)539 b(The)405 b(adv)-67 b(ancemen)-34 b(t)405 b(is)f(deferred)g(to)g(App)34 b(endix)405 b(A.)24548 75763 y(31)p eop end %%Page: 32 32 TeXDict begin 32 31 bop -2520 -1931 a FD(5.2)1495 b(Consequences)500 b(of)e(the)g(induction)i(h)-42 b(yp)42 b(otheses)-2520 358 y FC(W)-101 b(e)452 b(assume)g FB(\014)480 b Fy(\034)416 b FC(1)452 b(and)h(use)f FB(c)g FC(to)g(denote)g(a)g(p)34 b(ositiv)-34 b(e)452 b(and)h(\014nite)f(constan)-34 b(t)454 b(that)f(ma)-34 b(y)452 b(dep)34 b(end)452 b(on)h FB(d;)202 b(\015)67 b(;)202 b(\016)-21 b(;)202 b(\032)p FC(,)461 b(but)-2520 1863 y(not)405 b(on)g FB(K)2348 2045 y Fz(i)2724 1863 y FB(;)202 b(k)38 b(;)202 b(n;)g(\014)64 b(;)202 b(")p FC(.)537 b(The)404 b(v)-67 b(alue)404 b(of)g FB(c)g FC(ma)-34 b(y)404 b(c)-34 b(hange)405 b(from)f(line)g(to)g(line.)-638 3369 y(The)461 b(follo)-34 b(wing)461 b(four)g(lemmas,)474 b(corresp)34 b(onding)461 b(resp)34 b(ectiv)-34 b(ely)459 b(to)i([17)o(,)475 b(Lemmas)460 b(2.1,)474 b(2.2,)g(2.4,)g(2.3],)f(are) 460 b(conse-)-2520 4874 y(quences)404 b(of)h(the)f(induction)h(h)-34 b(yp)34 b(otheses)405 b(\(H1\){\(H4\))h(for)f FB(d)336 b(>)h FC(4.)-2520 7376 y Fs(Lemma)464 b(5.1.)554 b Fx(Assume)432 b(\(H1\))h(for)g FB(m)336 b FC(=)h(1)p FB(;)202 b(:)g(:)g(:)f(;)h(n)p Fx(.)556 b(Then)434 b FB(I)25881 7558 y Fw(0)26743 7376 y Fy(\033)337 b FB(I)28556 7558 y Fw(1)29418 7376 y Fy(\033)g(\001)202 b(\001)g(\001)335 b(\033)i FB(I)34261 7558 y Fz(n)34887 7376 y Fx(.)-2520 9877 y Fs(Lemma)464 b(5.2.)554 b Fx(L)-62 b(et)433 b FB(\025)337 b Fy(2)g FB(I)9959 10059 y Fz(n)11018 9877 y Fx(and)434 b(assume)d(\(H2\){\(H3\))g(for)i FB(m)337 b FC(=)f(1)p FB(;)202 b(:)g(:)g(:)f(;)h(n)p Fx(.)557 b(F)-93 b(or)434 b FB(k)374 b Fy(2)337 b(A)38647 10059 y Fz(m)39535 9877 y Fx(,)14095 12601 y Fy(j)p FB(f)15025 12783 y Fz(m)15912 12601 y FC(\()p FB(k)38 b FC(\))p Fy(j)338 b(\024)e FB(e)20041 12100 y Fz(cK)21242 12223 y Fm(3)21704 12100 y Fz(\014)22535 12601 y FB(e)23099 12100 y FM(\000)p Fz(m")p Fw([1)p FM(\000)p Fz(c)158 b Fw(\()p Fz(K)28285 12223 y Fm(1)28746 12100 y Fw(+)p Fz(K)30271 12223 y Fm(2)30733 12100 y Fw(+)p Fz(K)32258 12223 y Fm(3)32719 12100 y Fw(\))p Fz(\014)46 b Fw(])157 b Fz(a)p Fw(\()p Fz(k)24 b Fw(\))35877 12601 y FB(:)-2520 15324 y Fs(Lemma)464 b(5.3.)554 b Fx(L)-62 b(et)433 b FB(\025)337 b Fy(2)g FB(I)9959 15506 y Fz(n)11018 15324 y Fx(and)434 b(assume)d(\(H2\){\(H3\))g(for)i FB(m)337 b FC(=)f(1)p FB(;)202 b(:)g(:)g(:)f(;)h(n)p Fx(.)557 b(Then)13708 18047 y Fy(jr)15055 17546 y Fw(2)15581 18047 y FB(f)16174 18229 y Fz(m)17062 18047 y FC(\(0\))p Fy(j)337 b(\024)g FC([1)269 b(+)g FB(c)202 b FC(\()p FB(K)25215 18229 y Fw(1)26010 18047 y FC(+)270 b FB(K)28252 18229 y Fw(2)29047 18047 y FC(+)f FB(K)31288 18229 y Fw(3)31815 18047 y FC(\))p FB(\014)64 b FC(])p FB(\033)34109 17546 y Fw(2)34634 18047 y FB(m":)-2520 20770 y Fs(Lemma)464 b(5.4.)554 b Fx(L)-62 b(et)433 b FB(\025)337 b Fy(2)g FB(I)9959 20952 y Fz(n)11018 20770 y Fx(and)434 b(assume)d (\(H2\){\(H4\))g(for)i FB(m)337 b FC(=)f(1)p FB(;)202 b(:)g(:)g(:)f(;)h(n)p Fx(.)557 b(Then)18584 24130 y Fy(k)19473 23824 y FC(^)19190 24130 y FB(D)20228 23630 y Fw(2)20753 24130 y FB(f)21346 24312 y Fz(m)22234 24130 y Fy(k)22840 24312 y Fw(1)23703 24130 y Fy(\024)25154 23310 y FB(c)202 b FC(\(1)270 b(+)f FB(K)29469 23492 y Fw(4)29995 23310 y FC(\))p FB(\014)p 25115 23852 6141 49 v 25115 25013 a FC(\(1)h(+)f FB(m")p FC(\))29774 24661 y Fz(d=)p Fw(2)31388 24130 y FB(:)-638 27554 y FC(The)405 b(b)34 b(ounds)405 b(\(2.24\))g(for)f FB(m)337 b FC(=)g(1)p FB(;)202 b(:)g(:)g(:)e(;)i(n) 404 b FC(follo)-34 b(w)404 b(from)h(Lemmas)f(5.2{5.4,)f(with)i FB(K)424 b Fy(\035)337 b FB(K)40946 27736 y Fw(4)41472 27554 y FC(.)-638 29059 y(By)404 b(Lemma)f(5.1,)h(if)g FB(\025)337 b Fy(2)f FB(I)11713 29241 y Fz(m)13005 29059 y FC(for)404 b(some)g FB(m)337 b Fy(\025)g FC(0,)403 b(then)i FB(\025)337 b Fy(2)g FB(I)27407 29241 y Fw(0)28336 29059 y FC(and)405 b(hence,)f(b)-34 b(y)421 b(\(5.7\))q(,)21291 31782 y Fy(j)p FB(\025)270 b Fy(\000)f FC(1)p Fy(j)336 b(\024)h FB(K)27405 31964 y Fw(1)27931 31782 y FB(\014)64 b(:)20713 b FC(\(5.18\))-2520 34505 y(It)548 b(also)f(follo)-34 b(ws)548 b(that)g FB(I)8936 34687 y FM(1)10508 34505 y FC(=)12026 33596 y Fr(T)13036 33947 y FM(1)13036 34864 y Fz(m)p Fw(=0)15328 34505 y FB(I)15861 34687 y Fz(m)17296 34505 y FC(is)f(a)g(singleton)h FB(\025)25786 34687 y FM(1)26782 34505 y FC(.)968 b(As)548 b(discussed)g(in)f([17,)583 b(Theorem)547 b(1.2],)583 b(w)-34 b(e)547 b(obtain)-2520 36011 y FB(\025)-1813 36193 y FM(1)-480 36011 y FC(=)337 b FB(\025)1507 35427 y Fm(\()p Fp(")p Fm(\))1507 36168 y Fw(c)2591 36011 y FC(.)539 b(Moreo)-34 b(v)g(er,)403 b(it)h(follo)-34 b(ws)405 b(from)f(the)h(second)f(inequalit)-34 b(y)404 b(of)499 b(\(5.10\))405 b(that,)g(for)f FB(\025)337 b Fy(2)g FB(I)41327 36193 y Fz(m)42214 36011 y FC(,)1941 39660 y Fy(j)p FB(v)2866 39842 y Fz(m)4023 39660 y Fy(\000)269 b FC(1)p Fy(j)336 b(\024)8253 38145 y Fz(m)7794 38508 y Fr(X)7922 41143 y Fz(l)11 b Fw(=1)9747 39660 y Fy(j)p FB(v)10672 39857 y Fz(l)11287 39660 y Fy(\000)269 b FB(v)13087 39857 y Fz(l)11 b FM(\000)p Fw(1)14636 39660 y Fy(j)269 b FC(+)g Fy(j)p FB(v)17379 39842 y Fw(0)18173 39660 y Fy(\000)g FC(1)p Fy(j)337 b(\024)22403 38145 y Fz(m)21944 38508 y Fr(X)22073 41143 y Fz(l)11 b Fw(=1)26293 38840 y FB("K)27887 39022 y Fw(2)28413 38840 y FB(\014)p 24030 39381 7396 49 v 24030 40543 a FC(\(1)270 b(+)f FB(l)24 b(")p FC(\))28011 40191 y Fw(\()p Fz(d)p FM(\000)p Fw(2\))p Fz(=)p Fw(2)31828 39660 y FC(+)269 b Fy(j)p 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409 w FB(b)16156 15370 y Fz(n)17191 15188 y FC(to)g FB(b)p 18677 15382 V 297 x Fz(n)p Fw(+1)21434 15188 y FC(\(see)g([20,)g(p.)g(61])f(for)h(the)g(de\014nition)h(of)f(a) g(piv)-34 b(otal)409 b(arro)-34 b(w\).)553 b(Apart)-2520 16693 y(from)506 b(this)f(minor)h(mo)34 b(di\014cation,)530 b(the)506 b(pro)34 b(of)505 b(remains)g(unc)-34 b(hanged.)844 b(The)506 b(b)34 b(ound)506 b(on)39049 15784 y Fr(P)40328 17051 y Fz(x)p FM(2)p Fo(Z)42075 16799 y Fp(d)42815 16693 y Fy(j)p FB(@)43796 16890 y Fz(\025)44399 16693 y FB(\031)45133 16253 y Fz(\025)45090 16993 y(t)45738 16693 y FC(\()p FB(x)p FC(\))p Fy(j)f FC(in)h(\(2.32\))-2520 18199 y(follo)-34 b(ws)412 b(immediately)f(from)g(the)h(p)34 b(oin)-34 b(t)g(wise)412 b(con)-34 b(v)g(ergence)411 b(of)27155 17721 y Fw(1)p 26942 17919 896 49 v 26942 18648 a Fz(")27376 18396 y Fm(2)27971 18199 y FB(@)28615 18396 y Fz(\025)29218 18199 y FB(\031)29952 17759 y Fz(\025)29909 18498 y(t)p Fw(;)p Fz(")31000 18199 y FC(\()p FB(x)p FC(\),)j(together)d(with)h 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b(\(5.2\),)398 b(w)-34 b(e)398 b(immediately)e(obtain)i(the)-2520 57873 y(follo)-34 b(wing)405 b(b)34 b(ounds)406 b(on)e FB(e)9061 58055 y Fz(m)9949 57873 y FC(\()p FB(k)38 b FC(\))405 b(and)g FB(g)14900 58055 y Fz(m)15788 57873 y FC(\()p FB(k)38 b FC(\):)539 b(there)404 b(exists)g FB(C)25474 58055 y Fz(g)26346 57873 y FB(<)336 b Fy(1)404 b FC(suc)-34 b(h)405 b(that)7325 60748 y Fy(j)p FB(e)8226 60930 y Fz(m)9113 60748 y FC(\()p FB(k)38 b FC(\))p Fy(j)338 b(\024)14318 59921 y FB(")14883 59482 y Fw(2)15409 59921 y FB(C)16160 60103 y Fz(g)16695 59921 y FB(\014)p 12811 60469 6141 49 v 12811 61631 a FC(\(1)270 b(+)f FB(m")p FC(\))17470 61279 y Fz(d=)p Fw(2)19084 60748 y FB(;)5050 b Fy(j)p FB(e)25372 60930 y Fz(m)26260 60748 y FC(\()p FB(k)38 b FC(\))270 b Fy(\000)f FB(e)29917 60930 y Fz(m)30806 60748 y FC(\(0\))p Fy(j)337 b(\024)35687 59921 y FB(")36252 59482 y Fw(2)36778 59921 y FB(C)37529 60103 y Fz(g)38064 59921 y FB(\014)265 b(a)p FC(\()p FB(k)38 b FC(\))p 34440 60469 8075 49 v 34440 61631 a(\(1)270 b(+)f FB(m")p FC(\))39099 61279 y Fw(\()p Fz(d)p FM(\000)p Fw(2\))p Fz(=)p Fw(2)42647 60748 y FB(;)7050 b FC(\(A.3\))8816 64214 y Fy(j)p FB(g)9731 64396 y Fz(m)10618 64214 y FC(\()p FB(k)38 b FC(\))p Fy(j)338 b(\024)15823 63387 y FB(")16388 62947 y Fw(2)16914 63387 y FB(C)17665 63569 y Fz(g)18200 63387 y FB(\014)p 14316 63935 6141 49 v 14316 65097 a FC(\(1)270 b(+)f FB(m")p FC(\))18975 64745 y Fz(d=)p Fw(2)20589 64214 y FB(;)5050 b Fy(jr)27323 63714 y Fw(2)27849 64214 y FB(g)28427 64396 y Fz(m)29315 64214 y FC(\(0\))p Fy(j)337 b(\024)34792 63387 y FB(")35357 62947 y Fw(2)35883 63387 y FB(C)36634 63569 y Fz(g)37169 63387 y FB(\033)37905 62947 y Fw(2)38431 63387 y FB(\014)p 32949 63935 8075 49 v 32949 65097 a FC(\(1)270 b(+)f FB(m")p FC(\))37608 64745 y Fw(\()p Fz(d)p FM(\000)p Fw(2\))p Fz(=)p Fw(2)41156 64214 y FB(;)8541 b FC(\(A.4\))10534 66397 y Fr(\014)10534 67124 y(\014)10534 67851 y(\014)10938 67791 y FB(g)11516 67973 y Fz(m)12403 67791 y FC(\()p FB(k)38 b FC(\))271 b Fy(\000)e FB(g)16075 67973 y Fz(m)16963 67791 y FC(\(0\))h Fy(\000)20126 66971 y FB(a)p FC(\()p FB(k)38 b FC(\))p 20126 67512 2253 49 v 20621 68622 a FB(\033)21357 68272 y Fw(2)22713 67791 y Fy(r)23723 67290 y Fw(2)24249 67791 y FB(g)24827 67973 y Fz(m)25715 67791 y FC(\(0\))27263 66397 y Fr(\014)27263 67124 y(\014)27263 67851 y(\014)28005 67791 y Fy(\024)30401 66964 y FB(")30966 66524 y Fw(2)31492 66964 y FB(C)32243 67146 y Fz(g)32777 66964 y FB(\014)266 b(a)p FC(\()p FB(k)38 b FC(\))35981 66524 y Fw(1+\001)37967 66212 y Fv(0)p 29417 67512 9889 49 v 29417 68673 a FC(\(1)270 b(+)f FB(m")p FC(\))34076 68321 y Fw(\()p Fz(d)p FM(\000)p Fw(2\))p Fz(=)p Fw(2)p FM(\000)p Fw(\001)38950 68069 y Fv(0)39438 67791 y FB(;)10259 b FC(\(A.5\))17540 71256 y Fy(j)p FB(@)18521 71453 y Fz(\025)19124 71256 y FB(g)19702 71438 y Fz(m)20590 71256 y FC(\(0\))p Fy(j)337 b(\024)26699 70430 y FB(")27264 69990 y Fw(2)27790 70430 y FB(C)28541 70612 y Fz(g)29076 70430 y FB(\014)p 24225 70978 8075 49 v 24225 72139 a FC(\(1)270 b(+)f FB(m")p FC(\))28884 71787 y Fw(\()p Fz(d)p FM(\000)p Fw(2\))p Fz(=)p Fw(2)32432 71256 y FB(:)17265 b FC(\(A.6\))24548 75763 y(42)p eop end %%Page: 43 43 TeXDict begin 43 42 bop -2520 -1931 a Fs(Adv)-77 b(ancemen)-39 b(t)464 b(of)h(\(H1\).)1212 b FC(By)420 b(\(5.6\))405 b(and)g(the)f(mean)h(v)-67 b(alue)403 b(theorem,)8889 1672 y FB(\025)9596 1854 y Fz(n)p Fw(+1)11694 1672 y Fy(\000)269 b FB(\025)13613 1854 y Fz(n)14576 1672 y FC(=)336 b Fy(\000)16931 852 y FC(1)p 16931 1393 607 49 v 16951 2504 a FB(")17872 1672 y(g)18450 1854 y Fz(n)p Fw(+1)20279 1672 y FC(\(0;)202 b FB(\025)22602 1854 y Fz(n)23228 1672 y FC(\))270 b Fy(\000)25314 852 y FC(1)p 25314 1393 V 25334 2504 a FB(")26987 157 y Fz(n)26397 521 y Fr(X)26255 3112 y Fz(m)p Fw(=2)28289 1672 y FC([)p FB(g)29204 1854 y Fz(m)30092 1672 y FC(\(0;)202 b FB(\025)32415 1854 y Fz(n)33041 1672 y FC(\))270 b Fy(\000)f FB(g)35572 1854 y Fz(m)36460 1672 y FC(\(0;)202 b FB(\025)38783 1854 y Fz(n)p FM(\000)p Fw(1)40612 1672 y FC(\)])14576 5693 y(=)336 b Fy(\000)16931 4873 y FC(1)p 16931 5415 V 16951 6525 a FB(")17872 5693 y(g)18450 5875 y Fz(n)p Fw(+1)20279 5693 y FC(\(0;)202 b FB(\025)22602 5875 y Fz(n)23228 5693 y FC(\))270 b Fy(\000)25314 4873 y FB(\025)26021 5055 y Fz(n)26917 4873 y Fy(\000)f FB(\025)28836 5055 y Fz(n)p FM(\000)p Fw(1)p 25314 5415 5351 49 v 27706 6525 a FB(")31731 4178 y Fz(n)31141 4542 y Fr(X)30999 7133 y Fz(m)p Fw(=2)33236 5693 y FB(@)33880 5890 y Fz(\025)34483 5693 y FB(g)35061 5875 y Fz(m)35949 5693 y FC(\(0;)202 b FB(\025)38272 5875 y FM(\003)38798 5693 y FC(\))p FB(;)10428 b FC(\(A.7\))-2520 9445 y(for)405 b(some)f FB(\025)3080 9627 y FM(\003)4010 9445 y FC(b)34 b(et)-34 b(w)g(een)405 b FB(\025)9397 9627 y Fz(n)10427 9445 y FC(and)g FB(\025)13491 9627 y Fz(n)p FM(\000)p Fw(1)15320 9445 y FC(.)538 b(By)420 b(\(5.7\))405 b(and)g(\(H1\),)f FB(\025)27272 9627 y FM(\003)28135 9445 y Fy(2)337 b FB(I)29813 9627 y Fz(n)30439 9445 y FC(.)538 b(By)420 b(\(A.4\))q(,)404 b(\(A.6\))g(and)h(\(H1\),) 2103 13048 y Fy(j)p FB(\025)3147 13230 y Fz(n)p Fw(+1)5245 13048 y Fy(\000)269 b FB(\025)7164 13230 y Fz(n)7790 13048 y Fy(j)337 b(\024)12858 12221 y FB("C)14174 12403 y Fz(g)14709 12221 y FB(\014)p 9876 12769 8565 49 v 9876 13931 a FC([1)269 b(+)g(\()p FB(n)h FC(+)f(1\))p FB(")p FC(])16960 13579 y Fz(d=)p Fw(2)18843 13048 y FC(+)g Fy(j)p FB(\025)21099 13230 y Fz(n)21994 13048 y Fy(\000)g FB(\025)23913 13230 y Fz(n)p FM(\000)p Fw(1)25742 13048 y Fy(j)p FB(")27578 11533 y Fz(n)26988 11897 y Fr(X)26846 14488 y Fz(m)p Fw(=2)32235 12221 y FB(C)32986 12403 y Fz(g)33521 12221 y FB(\014)p 29215 12769 8075 49 v 29215 13931 a FC(\(1)h(+)f FB(m")p FC(\))33874 13579 y Fw(\()p Fz(d)p FM(\000)p Fw(2\))p Fz(=)p Fw(2)37759 13048 y Fy(\024)39223 12221 y FB("C)40539 12403 y Fz(g)41075 12221 y FC(\(1)g(+)h FB(cK)45188 12403 y Fw(1)45713 12221 y FB(\014)64 b FC(\))p FB(\014)p 39171 12769 8565 49 v 39171 13931 a FC([1)270 b(+)f(\()p FB(n)g FC(+)g(1\))p FB(")p FC(])46255 13579 y Fz(d=)p Fw(2)47869 13048 y FB(:)-2520 16800 y FC(Therefore)404 b(\(H1\))h(holds)g(for)f FB(n)269 b FC(+)g(1,)404 b(if)g FB(\014)468 b FC(is)404 b(su\016cien)-34 b(tly)404 b(small)g(and)h FB(K)30529 16982 y Fw(1)31392 16800 y FB(>)336 b(C)33422 16982 y Fz(g)33957 16800 y FC(.)p 51949 16800 45 819 v 51994 16026 728 45 v 51994 16800 V 52721 16800 45 819 v -2520 19995 a Fs(Adv)-77 b(ancemen)-39 b(t)428 b(of)g(\(H2\).)1213 b FC(Let)372 b(1)206 b(+)g FB(M)17484 20177 y Fz(n)18483 19995 y FC(and)374 b FB(N)21783 20177 y Fz(n)22781 19995 y FC(b)34 b(e)373 b(the)g(denominator)g(and)h(the)f(n)-34 b(umerator)373 b(of)468 b(\(5.8\))373 b(for)g FB(n)336 b Fy(\025)g FC(2)-2520 21500 y(resp)34 b(ectiv)-34 b(ely)-101 b(.)537 b(Then)11571 24989 y FB(v)12159 25171 y Fz(n)p Fw(+1)14256 24989 y Fy(\000)270 b FB(v)16057 25171 y Fz(n)17019 24989 y FC(=)18696 23589 y FM(\000)p Fw(1)p 18564 23787 1466 49 v 18564 24516 a Fz(\033)19134 24264 y Fm(2)19595 24516 y Fz(")20162 24066 y Fy(r)21172 23626 y Fw(2)21698 24066 y FB(g)22276 24248 y Fz(n)p Fw(+1)24105 24066 y FC(\(0\))p 18431 24710 7223 49 v 19497 25820 a(1)f(+)g FB(M)22760 26002 y Fz(n)p Fw(+1)26056 24989 y Fy(\000)29491 24168 y FB(N)30465 24350 y Fz(n)31293 24168 y FB(n)202 b(g)32801 24350 y Fz(n)p Fw(+1)34629 24168 y FC(\(0\))p 27401 24710 10868 49 v 27401 25820 a(\(1)270 b(+)f FB(M)31136 26002 y Fz(n)p Fw(+1)32964 25820 y FC(\)\(1)h(+)g FB(M)37171 26002 y Fz(n)37797 25820 y FC(\))38401 24989 y FB(:)11296 b FC(\(A.8\))-2520 28314 y(By)421 b(\(A.4\),)404 b(w)-34 b(e)404 b(obtain)h(that,)g(for)g FB(m)337 b Fy(\024)f FB(n)269 b FC(+)g(1,)1964 31917 y Fy(j)p FB(M)3477 32099 y Fz(m)4364 31917 y Fy(j)337 b(\024)f FB(")7544 30402 y Fz(m)7084 30766 y Fr(X)7213 33401 y Fz(l)11 b Fw(=2)9170 31091 y FC(\()p FB(l)293 b Fy(\000)269 b FC(1\))p FB("C)13901 31273 y Fz(g)14437 31091 y FB(\014)p 9170 31639 6017 49 v 9448 32800 a FC(\(1)g(+)h FB(l)24 b(")p FC(\))13429 32448 y Fz(d=)p Fw(2)15656 31917 y Fy(\024)337 b FB(cC)18212 32099 y Fz(g)18746 31917 y FB(\014)64 b(;)4483 b Fy(j)p FB(N)25627 32099 y Fz(m)26784 31917 y Fy(\000)269 b FB(\025)p Fy(j)336 b(\024)h FB(")31882 30402 y Fz(m)31423 30766 y Fr(X)31552 33401 y Fz(l)11 b Fw(=2)36189 31091 y FB(C)36940 31273 y Fz(g)37475 31091 y FB(\014)p 33509 31639 7396 49 v 33509 32800 a FC(\(1)269 b(+)h FB(l)24 b(")p FC(\))37490 32448 y Fw(\()p Fz(d)p FM(\000)p Fw(2\))p Fz(=)p Fw(2)41374 31917 y Fy(\024)336 b FB(cC)43929 32099 y Fz(g)44464 31917 y FB(\014)64 b(;)4483 b FC(\(A.9\))-2520 35646 y(and)3379 37372 y Fr(\014)3379 38099 y(\014)3379 38826 y(\014)4055 37946 y Fy(\000)p FC(1)p 3916 38487 1828 49 v 3916 39597 a FB(\033)4652 39247 y Fw(2)5177 39597 y FB(")6078 38766 y Fy(r)7088 38265 y Fw(2)7613 38766 y FB(g)8191 38948 y Fz(n)p Fw(+1)10020 38766 y FC(\(0\))11568 37372 y Fr(\014)11568 38099 y(\014)11568 38826 y(\014)12310 38766 y Fy(\024)17671 37939 y FB("C)18987 38121 y Fz(g)19522 37939 y FB(\014)p 13722 38487 10499 49 v 13722 39648 a FC([1)269 b(+)g(\()p FB(n)h FC(+)f(1\))p FB(")p FC(])20806 39297 y Fw(\()p Fz(d)p FM(\000)p Fw(2\))p Fz(=)p Fw(2)24353 38766 y FB(;)5898 b Fy(j)p FB(n)202 b(g)32433 38948 y Fz(n)p Fw(+1)34261 38766 y FC(\(0\))p Fy(j)338 b(\024)40251 37939 y FB(n")41544 37499 y Fw(2)42070 37939 y FB(C)42821 38121 y Fz(g)43356 37939 y FB(\014)p 37896 38487 8565 49 v 37896 39648 a FC([1)269 b(+)g(\()p FB(n)h FC(+)f(1\))p FB(")p FC(])44980 39297 y Fz(d=)p Fw(2)46593 38766 y FB(:)-2520 42076 y FC(Therefore,)12611 44090 y Fy(j)p FB(v)13536 44272 y Fz(n)p Fw(+1)15634 44090 y Fy(\000)g FB(v)17434 44272 y Fz(n)18060 44090 y Fy(j)336 b(\024)21806 43270 y FC(1)269 b(+)h FB(\025)p 20145 43812 6117 49 v 20145 44922 a FC(\(1)g Fy(\000)f FB(cC)23980 45104 y Fz(g)24515 44922 y FB(\014)64 b FC(\))25736 44572 y Fw(2)30678 43264 y FB("C)31994 43446 y Fz(g)32529 43264 y FB(\014)p 26729 43812 10499 49 v 26729 44973 a FC([1)269 b(+)g(\()p FB(n)h FC(+)f(1\))p FB(")p FC(])33813 44621 y Fw(\()p Fz(d)p FM(\000)p Fw(2\))p Fz(=)p Fw(2)37360 44090 y FB(:)-2520 46992 y FC(Since)404 b FB(\025)337 b Fy(2)g FB(I)3367 47174 y Fz(n)p Fw(+1)5195 46992 y FC(,)404 b(\(H2\))h(holds)g(if)f FB(\014)467 b FC(is)404 b(su\016cien)-34 b(tly)405 b(small)e(and)i FB(K)28078 47174 y Fw(2)28941 46992 y FB(>)337 b FC(2)p FB(C)31578 47174 y Fz(g)32113 46992 y FC(.)p 51949 46992 45 819 v 51994 46218 728 45 v 51994 46992 V 52721 46992 45 819 v -2520 50187 a Fs(Adv)-77 b(ancemen)-39 b(t)537 b(of)h(\(H3\).)1212 b FC(First)468 b(w)-34 b(e)468 b(deriv)-34 b(e)467 b(expressions)g(for) h FB(r)29778 50369 y Fz(n)p Fw(+1)31606 50187 y FC(\(0\))g(and)h FB(r)36590 50369 y Fz(n)p Fw(+1)38418 50187 y FC(\()p FB(k)38 b FC(\))313 b Fy(\000)e FB(r)42143 50369 y Fz(n)p Fw(+1)43972 50187 y FC(\(0\).)729 b(By)467 b(dividing)-2520 51692 y(b)34 b(oth)405 b(sides)f(of)499 b(\(5.3\))405 b(b)-34 b(y)404 b FB(f)9898 51874 y Fz(n)10525 51692 y FC(\()p FB(k)38 b FC(\))405 b(and)g(using)g FB(g)18648 51874 y Fw(1)19174 51692 y FC(\()p FB(k)38 b FC(\))337 b(=)g(1)269 b Fy(\000)g FB(")h FC(+)f FB(\025")28091 51386 y FC(^)27808 51692 y FB(D)33 b FC(\()p FB(k)38 b FC(\),)1297 54475 y FB(f)1890 54657 y Fz(n)p Fw(+1)3719 54475 y FC(\()p FB(k)g FC(\))p 1297 55016 4034 49 v 1899 56127 a FB(f)2492 56309 y Fz(n)3118 56127 y FC(\()p FB(k)g FC(\))5801 55295 y(=)336 b FB(g)7658 55477 y Fw(1)8184 55295 y FC(\()p FB(k)38 b FC(\))271 b(+)12010 53780 y Fz(n)11420 54144 y Fr(X)11278 56735 y Fz(m)p Fw(=1)13514 55295 y FB(g)14092 55477 y Fz(m)p Fw(+1)16182 55295 y FC(\()p FB(k)38 b FC(\))17926 54475 y FB(f)18519 54657 y Fz(n)p FM(\000)p Fz(m)20711 54475 y FC(\()p FB(k)g FC(\))p 17926 55016 4396 49 v 18709 56127 a FB(f)19302 56309 y Fz(n)19929 56127 y FC(\()p FB(k)g FC(\))22725 55295 y(+)24070 54475 y FB(e)24634 54657 y Fz(n)p Fw(+1)26463 54475 y FC(\()p FB(k)g FC(\))p 24070 55016 4005 49 v 24657 56127 a FB(f)25250 56309 y Fz(n)25876 56127 y FC(\()p FB(k)g FC(\))5801 59316 y(=)336 b(1)270 b Fy(\000)f FB("v)10321 59498 y Fz(n)p Fw(+1)12149 59316 y FB(a)p FC(\()p FB(k)38 b FC(\))270 b(+)f FB(")16448 57607 y Fr(\024)17088 59316 y FB(v)17676 59498 y Fz(n)p Fw(+1)19504 59316 y FB(a)p FC(\()p FB(k)38 b FC(\))270 b Fy(\000)g FC(1)f(+)g FB(\025)26316 59010 y FC(^)26033 59316 y FB(D)33 b FC(\()p FB(k)38 b FC(\))271 b(+)30297 58496 y(1)p 30297 59037 607 49 v 30317 60148 a FB(")31969 57801 y Fz(n)31379 58165 y Fr(X)31238 60756 y Fz(m)p Fw(=1)33474 59316 y FB(g)34052 59498 y Fz(m)p Fw(+1)36142 59316 y FC(\()p FB(k)38 b FC(\))37886 58496 y FB(f)38479 58678 y Fz(n)p FM(\000)p Fz(m)40671 58496 y FC(\()p FB(k)g FC(\))p 37886 59037 4396 49 v 38669 60148 a FB(f)39262 60330 y Fz(n)39889 60148 y FC(\()p FB(k)g FC(\))42685 59316 y(+)44030 58496 y FB(e)44594 58678 y Fz(n)p Fw(+1)46423 58496 y FC(\()p FB(k)g FC(\))p 44030 59037 4005 49 v 44334 60148 a FB("f)45492 60330 y Fz(n)46119 60148 y FC(\()p FB(k)g FC(\))48168 57607 y Fr(\025)48807 59316 y FB(:)-2520 63068 y FC(Therefore)404 b FB(r)3522 63250 y Fz(n)p Fw(+1)5351 63068 y FC(\()p FB(k)38 b FC(\))405 b(equals)e(the)i(quan)-34 b(tit)g(y)405 b(in)g(the)f(brac)-34 b(k)g(ets.)539 b(In)404 b(particular,)4944 66671 y FB(r)5491 66853 y Fz(n)p Fw(+1)7319 66671 y FC(\(0\))338 b(=)e Fy(\000)p FC(1)270 b(+)f FB(\025)g FC(+)15836 65851 y(1)p 15836 66392 607 49 v 15856 67503 a FB(")17509 65156 y Fz(n)16919 65520 y Fr(X)16777 68111 y Fz(m)p Fw(=1)19014 66671 y FB(g)19592 66853 y Fz(m)p Fw(+1)21682 66671 y FC(\(0\))23363 65851 y FB(f)23956 66033 y Fz(n)p FM(\000)p Fz(m)26147 65851 y FC(\(0\))p 23363 66392 4333 49 v 24145 67503 a FB(f)24738 67685 y Fz(n)25365 67503 y FC(\(0\))28098 66671 y(+)29443 65851 y FB(e)30007 66033 y Fz(n)p Fw(+1)31836 65851 y FC(\(0\))p 29443 66392 3942 49 v 29747 67503 a FB("f)30905 67685 y Fz(n)31532 67503 y FC(\(0\))9205 70882 y(=)10484 69172 y Fr(\024)11124 70882 y FB(\025)h Fy(\000)f FC(1)g(+)15533 70062 y(1)p 15533 70603 607 49 v 15553 71713 a FB(")16605 69366 y Fz(n)p Fw(+1)16616 69730 y Fr(X)16474 72321 y Fz(m)p Fw(=2)18711 70882 y FB(g)19289 71064 y Fz(m)20176 70882 y FC(\(0\))21724 69172 y Fr(\025)22634 70882 y FC(+)23979 70062 y(1)p 23979 70603 V 23999 71713 a FB(")25051 69366 y Fz(n)p Fw(+1)25062 69730 y Fr(X)24920 72321 y Fz(m)p Fw(=2)27157 70882 y FB(g)27735 71064 y Fz(m)28623 70882 y FC(\(0\))30171 69172 y Fr(\024)30944 70062 y FB(f)31537 70244 y Fz(n)p Fw(+1)p FM(\000)p Fz(m)34930 70062 y FC(\(0\))p 30944 70603 5535 49 v 32327 71713 a FB(f)32920 71895 y Fz(n)33547 71713 y FC(\(0\))36881 70882 y Fy(\000)g FC(1)38699 69172 y Fr(\025)39608 70882 y FC(+)40953 70062 y FB(e)41517 70244 y Fz(n)p Fw(+1)43346 70062 y FC(\(0\))p 40953 70603 3942 49 v 41257 71713 a FB("f)42415 71895 y Fz(n)43042 71713 y FC(\(0\))45028 70882 y FB(:)4063 b FC(\(A.10\))24548 75763 y(43)p eop end %%Page: 44 44 TeXDict begin 44 43 bop -2520 -1931 a FC(Let)404 b FB(r)233 -2514 y Fm(\(1\))199 -1584 y Fz(n)p Fw(+1)2027 -1931 y FC(\(0\),)h FB(r)4898 -2514 y Fm(\(2\))4864 -1584 y Fz(n)p Fw(+1)6692 -1931 y FC(\(0\))g(and)g FB(r)11583 -2514 y Fm(\(3\))11549 -1584 y Fz(n)p Fw(+1)13378 -1931 y FC(\(0\))f(denote)h(the)g(\014rst,)f(second)h(and)g(third)f(terms,)g (resp)34 b(ectiv)-34 b(ely)-101 b(.)537 b(Similarly)-101 b(,)37 1836 y FB(r)584 2018 y Fz(n)p Fw(+1)2413 1836 y FC(\()p FB(k)38 b FC(\))270 b Fy(\000)f FB(r)6053 2018 y Fz(n)p Fw(+1)7882 1836 y FC(\(0\))337 b(=\()p FB(v)11769 2018 y Fz(n)p Fw(+1)13867 1836 y Fy(\000)269 b FB(\025)p FC(\))202 b FB(a)p FC(\()p FB(k)38 b FC(\))270 b(+)20326 1016 y(1)p 20326 1557 607 49 v 20346 2668 a FB(")21398 321 y Fz(n)p Fw(+1)21409 685 y Fr(X)21267 3276 y Fz(m)p Fw(=2)23302 1836 y FC([)p FB(g)24217 2018 y Fz(m)25104 1836 y FC(\()p FB(k)38 b FC(\))271 b Fy(\000)e FB(g)28776 2018 y Fz(m)29664 1836 y FC(\(0\)])31682 1016 y FB(f)32275 1198 y Fz(n)p Fw(+1)p FM(\000)p Fz(m)35668 1016 y FC(\()p FB(k)38 b FC(\))p 31682 1557 5599 49 v 33065 2668 a FB(f)33658 2850 y Fz(n)34285 2668 y FC(\()p FB(k)g FC(\))10979 6047 y(+)12324 5227 y(1)p 12324 5768 607 49 v 12344 6878 a FB(")13396 4531 y Fz(n)p Fw(+1)13407 4895 y Fr(X)13265 7486 y Fz(m)p Fw(=2)15502 6047 y FB(g)16080 6229 y Fz(m)16968 6047 y FC(\(0\))18516 4337 y Fr(\024)19289 5227 y FB(f)19882 5409 y Fz(n)p Fw(+1)p FM(\000)p Fz(m)23275 5227 y FC(\()p FB(k)g FC(\))p 19289 5768 5599 49 v 20672 6878 a FB(f)21265 7060 y Fz(n)21892 6878 y FC(\()p FB(k)g FC(\))25289 6047 y Fy(\000)26634 5227 y FB(f)27227 5409 y Fz(n)p Fw(+1)p FM(\000)p Fz(m)30620 5227 y FC(\(0\))p 26634 5768 5535 49 v 28017 6878 a FB(f)28610 7060 y Fz(n)29237 6878 y FC(\(0\))32302 4337 y Fr(\025)33211 6047 y FC(+)34556 5227 y(1)p 34556 5768 607 49 v 34576 6878 a FB(")35295 4337 y Fr(\024)36067 5227 y FB(e)36631 5409 y Fz(n)p Fw(+1)38460 5227 y FC(\()p FB(k)g FC(\))p 36067 5768 4005 49 v 36654 6878 a FB(f)37247 7060 y Fz(n)37874 6878 y FC(\()p FB(k)g FC(\))40475 6047 y Fy(\000)41819 5227 y FB(e)42383 5409 y Fz(n)p Fw(+1)44212 5227 y FC(\(0\))p 41819 5768 3942 49 v 42406 6878 a FB(f)42999 7060 y Fz(n)43626 6878 y FC(\(0\))45894 4337 y Fr(\025)46534 6047 y FB(:)2557 b FC(\(A.11\))-2520 9637 y(By)421 b(\(5.8\),)404 b(w)-34 b(e)404 b(can)h(rewrite)e FB(v)11341 9819 y Fz(n)p Fw(+1)13573 9637 y FC(as)10612 13267 y FB(v)11200 13449 y Fz(n)p Fw(+1)13365 13267 y FC(=)336 b FB(\025)270 b Fy(\000)17576 12447 y FC(1)p 16966 12988 1828 49 v 16966 14099 a FB(\033)17702 13748 y Fw(2)18227 14099 y FB(")19258 11752 y Fz(n)p Fw(+1)19269 12116 y Fr(X)19128 14707 y Fz(m)p Fw(=2)21364 13267 y Fy(r)22374 12767 y Fw(2)22900 13267 y FB(g)23478 13449 y Fz(m)24366 13267 y FC(\(0\))g Fy(\000)f FB(v)27984 13449 y Fz(n)p Fw(+1)30145 11752 y Fz(n)p Fw(+1)30156 12116 y Fr(X)30014 14707 y Fz(m)p Fw(=2)32049 13267 y FC(\()p FB(m)h Fy(\000)f FC(1\))202 b FB(g)36923 13449 y Fz(m)37811 13267 y FC(\(0\))p FB(:)-2520 16857 y FC(Substituting)407 b(the)e(ab)34 b(o)-34 b(v)g(e)404 b(iden)-34 b(tit)g(y)405 b(in)-34 b(to)405 b(\(A.11\))q(,)e(w)-34 b(e)405 b(obtain)3095 20488 y FB(r)3642 20670 y Fz(n)p Fw(+1)5471 20488 y FC(\()p FB(k)38 b FC(\))270 b Fy(\000)f FB(r)9111 20670 y Fz(n)p Fw(+1)10939 20488 y FC(\(0\))338 b(=)13901 19668 y(1)p 13901 20209 607 49 v 13921 21319 a FB(")14972 18973 y Fz(n)p Fw(+1)14983 19336 y Fr(X)14841 21927 y Fz(m)p Fw(=2)17078 18779 y Fr(\024)17718 20488 y FC([)p FB(g)18633 20670 y Fz(m)19520 20488 y FC(\()p FB(k)38 b FC(\))271 b Fy(\000)e FB(g)23192 20670 y Fz(m)24079 20488 y FC(\(0\)])26300 19668 y FB(f)26893 19850 y Fz(n)p Fw(+1)p FM(\000)p Fz(m)30286 19668 y FC(\()p FB(k)38 b FC(\))p 26300 20209 5599 49 v 27683 21319 a FB(f)28276 21501 y Fz(n)28903 21319 y FC(\()p FB(k)g FC(\))32300 20488 y Fy(\000)33645 19668 y FB(a)p FC(\()p FB(k)g FC(\))p 33645 20209 2253 49 v 34140 21319 a FB(\033)34876 20969 y Fw(2)36233 20488 y Fy(r)37243 19987 y Fw(2)37768 20488 y FB(g)38346 20670 y Fz(m)39234 20488 y FC(\(0\))40782 18779 y Fr(\025)14037 24698 y FC(+)15382 23878 y(1)p 15382 24419 607 49 v 15402 25530 a FB(")16454 23183 y Fz(n)p Fw(+1)16465 23547 y Fr(X)16323 26138 y Fz(m)p Fw(=2)18560 24698 y FB(g)19138 24880 y Fz(m)20025 24698 y FC(\(0\))21573 22989 y Fr(\024)22347 23878 y FB(f)22940 24060 y Fz(n)p Fw(+1)p FM(\000)p Fz(m)26333 23878 y FC(\()p FB(k)g FC(\))p 22347 24419 5599 49 v 23730 25530 a FB(f)24323 25712 y Fz(n)24950 25530 y FC(\()p FB(k)g FC(\))28347 24698 y Fy(\000)29692 23878 y FB(f)30285 24060 y Fz(n)p Fw(+1)p FM(\000)p Fz(m)33678 23878 y FC(\(0\))p 29692 24419 5535 49 v 31075 25530 a FB(f)31668 25712 y Fz(n)32295 25530 y FC(\(0\))35629 24698 y Fy(\000)269 b FB("v)37994 24880 y Fz(n)p Fw(+1)40024 24698 y FC(\()p FB(m)h Fy(\000)g FC(1\))202 b FB(a)p FC(\()p FB(k)38 b FC(\))46573 22989 y Fr(\025)14037 28459 y FC(+)15382 27639 y(1)p 15382 28180 607 49 v 15402 29291 a FB(")16323 26750 y Fr(\024)17095 27639 y FB(e)17659 27821 y Fz(n)p Fw(+1)19488 27639 y FC(\()p FB(k)g FC(\))p 17095 28180 4005 49 v 17682 29291 a FB(f)18275 29473 y Fz(n)18902 29291 y FC(\()p FB(k)g FC(\))21503 28459 y Fy(\000)22848 27639 y FB(e)23412 27821 y Fz(n)p Fw(+1)25241 27639 y FC(\(0\))p 22848 28180 3942 49 v 23434 29291 a FB(f)24027 29473 y Fz(n)24654 29291 y FC(\(0\))26922 26750 y Fr(\025)27562 28459 y FB(:)21529 b FC(\(A.12\))-2520 31813 y(Let)404 b(\001)p FB(r)1243 31229 y Fm(\(1\))1209 32160 y Fz(n)p Fw(+1)3038 31813 y FC(\()p FB(k)38 b FC(\),)404 b(\001)p FB(r)6981 31229 y Fm(\(2\))6947 32160 y Fz(n)p Fw(+1)8776 31813 y FC(\()p FB(k)38 b FC(\))405 b(and)g(\001)p FB(r)14740 31229 y Fm(\(3\))14706 32160 y Fz(n)p Fw(+1)16534 31813 y FC(\()p FB(k)38 b FC(\))405 b(denote)g(the)f(\014rst,)h(second)f(and) h(third)g(terms,)f(resp)34 b(ectiv)-34 b(ely)-101 b(.)-638 33445 y(Th)-34 b(us,)406 b(to)e(adv)-67 b(ance)404 b(\(H3\),)g(w)-34 b(e)405 b(are)f(left)g(to)g(b)34 b(ound)406 b FB(r)23792 32861 y Fm(\()p Fp(i)p Fm(\))23758 33792 y Fz(n)p Fw(+1)25586 33445 y FC(\(0\))f(and)g(\001)p FB(r)31487 32861 y Fm(\()p Fp(i)p Fm(\))31453 33792 y Fz(n)p Fw(+1)33281 33445 y FC(\()p FB(k)38 b FC(\))405 b(for)g FB(i)336 b FC(=)g(1)p FB(;)202 b FC(2)p FB(;)g FC(3.)-2520 36038 y Fx(A)-62 b(dvanc)g(ement)432 b(of)h(the)g(\014rst)g(ine)-62 b(quality)431 b(in)527 b FC(\(5.12\))p Fx(.)606 b FC(Note)536 b(that)h FB(r)28418 35454 y Fm(\(1\))28384 36385 y Fz(n)p Fw(+1)30212 36038 y FC(\(0;)202 b FB(\025)32535 36220 y Fz(n)33162 36038 y FC(\))556 b(=)g FB(\025)36395 36220 y Fz(n)37378 36038 y Fy(\000)357 b FB(\025)39385 36220 y Fz(n)p Fw(+1)41214 36038 y FC(.)933 b(By)535 b(the)h(mean)g(v)-67 b(alue)-2520 37543 y(theorem,)7220 40076 y Fr(\014)7220 40804 y(\014)7624 41107 y FB(r)8205 40523 y Fm(\(1\))8171 41454 y Fz(n)p Fw(+1)10000 41107 y FC(\(0\))11548 40076 y Fr(\014)11548 40804 y(\014)12289 41107 y Fy(\024)337 b(j)p FB(\025)269 b Fy(\000)g FB(\025)16801 41289 y Fz(n)17427 41107 y Fy(j)g FC(+)g Fy(j)p FB(\025)20289 41289 y Fz(n)21185 41107 y Fy(\000)g FB(\025)23104 41289 y Fz(n)p Fw(+1)24933 41107 y Fy(j)g FC(+)26751 39349 y Fr(\014)26751 40076 y(\014)26751 40804 y(\014)26751 41531 y(\014)27155 41107 y FB(\025)27862 41289 y Fz(n)p Fw(+1)29960 41107 y Fy(\000)g FC(1)g(+)33392 40287 y(1)p 33392 40828 607 49 v 33412 41938 a FB(")34464 39591 y Fz(n)p Fw(+1)34475 39955 y Fr(X)34333 42546 y Fz(m)p Fw(=2)36570 41107 y FB(g)37148 41289 y Fz(m)38036 41107 y FC(\(0;)202 b FB(\025)p FC(\))40830 39349 y Fr(\014)40830 40076 y(\014)40830 40804 y(\014)40830 41531 y(\014)12289 45317 y FC(=)337 b Fy(j)p FB(\025)269 b Fy(\000)g FB(\025)16801 45499 y Fz(n)17427 45317 y Fy(j)g FC(+)19245 44287 y Fr(\014)19245 45014 y(\014)19650 45317 y FB(r)20231 44733 y Fm(\(1\))20197 45664 y Fz(n)p Fw(+1)22025 45317 y FC(\(0;)202 b FB(\025)24348 45499 y Fz(n)24974 45317 y FC(\))25445 44287 y Fr(\014)25445 45014 y(\014)26119 45317 y FC(+)27331 43559 y Fr(\014)27331 44287 y(\014)27331 45014 y(\014)27331 45741 y(\014)27868 44497 y FC(1)p 27868 45038 V 27888 46148 a FB(")28940 43802 y Fz(n)p Fw(+1)28951 44165 y Fr(X)28809 46756 y Fz(m)p Fw(=2)31046 44335 y Fr(\002)31551 45317 y FB(g)32129 45499 y Fz(m)33017 45317 y FC(\(0;)g FB(\025)p FC(\))270 b Fy(\000)f FB(g)37871 45499 y Fz(m)38758 45317 y FC(\(0;)202 b FB(\025)41081 45499 y Fz(n)41708 45317 y FC(\))42179 44335 y Fr(\003)42684 43559 y(\014)42684 44287 y(\014)42684 45014 y(\014)42684 45741 y(\014)12289 49527 y Fy(\024)13569 48497 y Fr(\014)13569 49224 y(\014)13973 49527 y FB(r)14554 48944 y Fm(\(1\))14520 49875 y Fz(n)p Fw(+1)16348 49527 y FC(\(0;)g FB(\025)18671 49709 y Fz(n)19298 49527 y FC(\))19769 48497 y Fr(\014)19769 49224 y(\014)20442 49527 y FC(+)270 b Fy(j)p FB(\025)f Fy(\000)g FB(\025)24887 49709 y Fz(n)25513 49527 y Fy(j)25850 47818 y Fr(\024)26490 49527 y FC(1)g(+)28710 48707 y(1)p 28710 49249 V 28730 50359 a FB(")29782 48012 y Fz(n)p Fw(+1)29793 48376 y Fr(X)29651 50967 y Fz(m)p Fw(=2)31887 48497 y Fr(\014)31887 49224 y(\014)32292 49527 y FB(@)32936 49724 y Fz(\025)33539 49527 y FB(g)34117 49709 y Fz(m)35005 49527 y FC(\(0;)202 b FB(\025)37328 49709 y FM(\003)37854 49527 y FC(\))38325 48497 y Fr(\014)38325 49224 y(\014)38729 47818 y(\025)39369 49527 y FB(;)-2520 53118 y FC(for)399 b(some)f FB(\025)3068 53300 y FM(\003)3931 53118 y Fy(2)337 b FB(I)5609 53300 y Fz(n)6633 53118 y FC(b)34 b(et)-34 b(w)g(een)399 b FB(\025)g FC(and)g FB(\025)15471 53300 y Fz(n)16097 53118 y FC(,)h(b)34 b(ecause)398 b FB(\025)336 b Fy(2)h FB(I)24034 53300 y Fz(n)p Fw(+1)26261 53118 y FC(and)399 b FB(\025)29319 53300 y Fz(n)30282 53118 y Fy(2)337 b FB(I)31960 53300 y Fz(n)32586 53118 y FC(.)537 b(By)397 b(using)416 b(\(A.6\))q(,)399 b(\(5.7\))g(and)g(\(5.10\))q(,)g(the)-2520 54623 y(righ)-34 b(t-hand)406 b(side)e(is)g(b)34 b(ounded)406 b(b)-34 b(y)3495 57366 y FB("K)5089 57548 y Fw(1)5616 57366 y FB(\014)p 648 57907 8565 49 v 648 59069 a FC([1)269 b(+)g(\()p FB(n)h FC(+)f(1\))p FB(")p FC(])7732 58717 y Fz(d=)p Fw(2)9615 58186 y FC(+)13676 57366 y FB(K)14705 57548 y Fw(1)15231 57366 y FB(\014)p 10960 57907 7738 49 v 10960 59069 a FC(\(1)g(+)h FB(n")p FC(\))15283 58717 y Fw(\()p Fz(d)p FM(\000)p Fw(2\))p Fz(=)p Fw(2)18830 56113 y Fr(")19537 58186 y FC(1)g(+)f FB(")22523 56671 y Fz(n)p Fw(+1)22534 57035 y Fr(X)22392 59626 y Fz(m)p Fw(=2)27781 57359 y FB(C)28532 57541 y Fz(g)29067 57359 y FB(\014)p 24761 57907 8075 49 v 24761 59069 a FC(\(1)h(+)f FB(m")p FC(\))29420 58717 y Fw(\()p Fz(d)p FM(\000)p Fw(2\))p Fz(=)p Fw(2)32969 56113 y Fr(#)34012 58186 y Fy(\024)39259 57366 y FB(cK)40813 57548 y Fw(1)41339 57366 y FB(\014)p 35425 57907 10499 49 v 35425 59069 a FC([1)g(+)g(\()p FB(n)g FC(+)g(1\))p FB(")p FC(])42508 58717 y Fw(\()p Fz(d)p FM(\000)p Fw(2\))p Fz(=)p Fw(2)46056 58186 y FB(:)3035 b FC(\(A.13\))-638 61949 y(Next)438 b(w)-34 b(e)438 b(in)-34 b(v)g(estigate)439 b FB(r)10826 61365 y Fm(\(2\))10792 62296 y Fz(n)p Fw(+1)12620 61949 y FC(\(0\).)640 b(By)454 b(\(A.4\))439 b(and)f(\(5.15\))q(,)446 b(together)438 b(with)h(T)-101 b(a)-34 b(ylor's)437 b(theorem)h (applied)h(to)f FB(h)p FC(\()p FB(t)p FC(\))394 b(=)-2520 62545 y Fr(Q)-1375 63813 y Fz(i)-999 63454 y FC(\(1)270 b(+)f FB(c)2085 63636 y Fz(i)2460 63454 y FB(t)p FC(\))3369 63014 y FM(\000)p Fw(1)4627 63454 y FC(:)7569 66871 y Fy(j)p FB(h)p FC(\(1\))h Fy(\000)f FB(h)p FC(\(0\))p Fy(j)338 b(\024)875 b FC(sup)15835 67973 y Fz(t)p FM(2)p Fw(\(0)p Fz(;)p Fw(1\))18938 66871 y Fy(j)p FB(h)19973 66370 y FM(0)20283 66871 y FC(\()p FB(t)p FC(\))p Fy(j)337 b(\024)23617 65719 y Fr(X)24332 68325 y Fz(i)26746 66051 y Fy(j)p FB(c)27608 66233 y Fz(i)27983 66051 y Fy(j)p 25702 66592 3662 49 v 25702 67702 a FC(1)270 b Fy(\000)f(j)p FB(c)28652 67884 y Fz(i)29027 67702 y Fy(j)29698 66871 y FB(e)30262 65389 y Fa(P)31256 66330 y Fp(j)32502 65431 y Fv(j)p Fp(c)33125 65642 y(j)33559 65431 y Fv(j)p 31979 65851 2355 40 v 31979 66400 a Fm(1)p Fv(\000j)p Fp(c)33648 66611 y(j)34082 66400 y Fv(j)34522 66871 y FB(;)14569 b FC(\(A.14\))7569 70867 y Fy(j)p FB(h)p FC(\(1\))270 b Fy(\000)f FB(h)p FC(\(0\))i Fy(\000)e FB(h)16061 70366 y FM(0)16372 70867 y FC(\(0\))p Fy(j)337 b(\024)20007 70047 y FC(1)p 20007 70588 607 49 v 20007 71698 a(2)21486 70867 y(sup)20948 71969 y Fz(t)p FM(2)p Fw(\(0)p Fz(;)p Fw(1\))24051 70867 y Fy(j)p FB(h)25086 70366 y FM(00)25652 70867 y FC(\()p FB(t)p FC(\))p Fy(j)f(\024)28985 69158 y Fr(\022)30079 69715 y(X)30794 72321 y Fz(i)33209 70047 y Fy(j)p FB(c)34071 70229 y Fz(i)34446 70047 y Fy(j)p 32165 70588 3662 49 v 32165 71698 a FC(1)269 b Fy(\000)g(j)p FB(c)35114 71880 y Fz(i)35489 71698 y Fy(j)35959 69158 y Fr(\023)36851 69460 y Fw(2)37579 70867 y FB(e)38143 69384 y Fa(P)39137 70325 y Fp(j)40383 69427 y Fv(j)p Fp(c)41006 69638 y(j)41440 69427 y Fv(j)p 39860 69847 2355 40 v 39860 70396 a Fm(1)p Fv(\000j)p Fp(c)41529 70607 y(j)41962 70396 y Fv(j)42403 70867 y FB(;)6688 b FC(\(A.15\))24548 75763 y(44)p eop end %%Page: 45 45 TeXDict begin 45 44 bop -2520 -1931 a FC(w)-34 b(e)405 b(can)f(b)34 b(ound)5224 -2961 y Fr(\014)5224 -2234 y(\014)5628 -1931 y FB(r)6209 -2514 y Fm(\(2\))6175 -1584 y Fz(n)p Fw(+1)8004 -1931 y FC(\(0\))9552 -2961 y Fr(\014)9552 -2234 y(\014)10361 -1931 y FC(as)1355 771 y Fr(\014)1355 1498 y(\014)1759 1801 y FB(r)2340 1218 y Fm(\(2\))2306 2149 y Fz(n)p Fw(+1)4134 1801 y FC(\(0\))5682 771 y Fr(\014)5682 1498 y(\014)6424 1801 y Fy(\024)7836 981 y FC(1)p 7836 1523 607 49 v 7856 2633 a FB(")8907 286 y Fz(n)p Fw(+1)8919 650 y Fr(X)8777 3241 y Fz(m)p Fw(=2)11013 1801 y Fy(j)p FB(g)11928 1983 y Fz(m)12816 1801 y FC(\(0\))p Fy(j)14701 44 y Fr(\014)14701 771 y(\014)14701 1498 y(\014)14701 2226 y(\014)17202 286 y Fz(n)16713 650 y Fr(Y)15307 3285 y Fz(l)11 b Fw(=)p Fz(n)p Fw(+2)p FM(\000)p Fz(m)19668 1801 y FC([1)269 b(+)g FB(")202 b(r)23406 1998 y Fz(l)23753 1801 y FC(\(0\)])25638 1301 y FM(\000)p Fw(1)27165 1801 y Fy(\000)270 b FC(1)28984 44 y Fr(\014)28984 771 y(\014)28984 1498 y(\014)28984 2226 y(\014)29724 1801 y Fy(\024)31135 286 y Fz(n)p Fw(+1)31146 650 y Fr(X)31004 3241 y Fz(m)p Fw(=2)35143 975 y FB("C)36459 1157 y Fz(g)36994 975 y FB(\014)p 33373 1523 6141 49 v 33373 2684 a FC(\(1)g(+)f FB(m")p FC(\))38032 2332 y Fz(d=)p Fw(2)39848 1801 y FB(\036)40570 1983 y Fz(m;n)42493 1801 y FB(e)43057 1301 y Fz(\036)43616 1412 y Fp(m;n)45217 1801 y FB(;)3874 b FC(\(A.16\))-2520 5493 y(where,)404 b(b)-34 b(y)421 b(\(5.12\))q(,)10355 8900 y FB(\036)11077 9082 y Fz(m;n)13134 8900 y FC(=)16308 7384 y Fz(n)15718 7748 y Fr(X)14413 10383 y Fz(l)11 b Fw(=)p Fz(n)p Fw(+2)p FM(\000)p Fz(m)20152 8080 y FB(")p Fy(j)p FB(r)21601 8277 y Fz(l)21948 8080 y FC(\(0\))p Fy(j)p 19108 8621 5769 49 v 19108 9731 a FC(1)270 b Fy(\000)f FB(")p Fy(j)p FB(r)22645 9928 y Fz(l)22992 9731 y FC(\(0\))p Fy(j)25347 8900 y(\024)336 b FB(")29288 7384 y Fz(n)28698 7748 y Fr(X)27393 10383 y Fz(l)11 b Fw(=)p Fz(n)p Fw(+2)p FM(\000)p Fz(m)34372 8080 y FB(cK)35926 8262 y Fw(3)36452 8080 y FB(\014)p 32089 8621 7396 49 v 32089 9782 a FC(\(1)269 b(+)h FB(l)24 b(")p FC(\))36070 9430 y Fw(\()p Fz(d)p FM(\000)p Fw(2\))p Fz(=)p Fw(2)39617 8900 y FB(;)9474 b FC(\(A.17\))-2520 12775 y(and)395 b FB(e)391 12335 y Fz(\036)950 12446 y Fp(m;n)2888 12775 y Fy(\024)336 b FB(e)4731 12335 y Fz(cK)5932 12458 y Fm(3)6394 12335 y Fz(\014)7416 12775 y FC(for)394 b(all)f FB(m)337 b Fy(\024)g FB(n)248 b FC(+)g(1.)535 b(Moreo)-34 b(v)g(er,)395 b(b)-34 b(y)394 b(Lemma)f(4.6)h(with)g(\()p FB(a;)202 b(b)p FC(\))337 b(=)g(\()38460 12297 y Fz(d)p 38460 12495 485 49 v 38467 13193 a Fw(2)39077 12775 y FB(;)39749 12297 y Fz(d)p FM(\000)p Fw(2)p 39749 12495 1687 49 v 40357 13193 a(2)41568 12775 y FC(\),)396 b(the)e(righ)-34 b(t-hand)395 b(side)-2520 14407 y(of)499 b(\(A.16\))405 b(is)f(b)34 b(ounded)405 b(b)-34 b(y)405 b FB(cC)11888 14589 y Fz(g)12422 14407 y FB(K)13451 14589 y Fw(3)13977 14407 y FB(\014)14727 13968 y Fw(2)15253 14407 y FC([1)269 b(+)g(\()p FB(n)g FC(+)g(1\))p FB(")p FC(])22336 13968 y FM(\000)p Fw(\()p Fz(d)p FM(\000)p Fw(2\))p Fz(=)p Fw(2)26483 14407 y FC(.)-638 15913 y(Finally)-101 b(,)403 b(w)-34 b(e)405 b(in)-34 b(v)g(estigate)405 b FB(r)12122 15329 y Fm(\(3\))12088 16260 y Fz(n)p Fw(+1)13916 15913 y FC(\(0\).)539 b(As)405 b(in)f(\(A.16\),)g Fy(j)p FB(f)24617 16095 y Fz(n)25243 15913 y FC(\(0\))26791 15473 y FM(\000)p Fw(1)28319 15913 y Fy(\000)269 b FC(1)p Fy(j)404 b FC(is)g(b)34 b(ounded)406 b(b)-34 b(y)12558 17698 y Fr(\014)12558 18425 y(\014)12558 19153 y(\014)12558 19880 y(\014)13653 17940 y Fz(n)13164 18304 y Fr(Y)13192 20939 y Fz(l)11 b Fw(=1)14713 19456 y FC([1)269 b(+)g FB("r)18249 19653 y Fz(l)18596 19456 y FC(\(0\)])20481 18955 y FM(\000)p Fw(1)22009 19456 y Fy(\000)g FC(1)23827 17698 y Fr(\014)23827 18425 y(\014)23827 19153 y(\014)23827 19880 y(\014)24568 19456 y Fy(\024)336 b FB(\036)26569 19638 y Fz(n)p Fw(+1)p Fz(;n)29432 19456 y FB(e)29996 18955 y Fz(\036)30555 19078 y Fp(n)p Fm(+1)p Fp(;n)33305 19456 y Fy(\024)g FB(cK)36138 19638 y Fw(3)36664 19456 y FB(\014)64 b(:)11677 b FC(\(A.18\))-2520 23055 y(T)-101 b(ogether)405 b(with)g(\(A.3\),)17397 25149 y Fr(\014)17397 25877 y(\014)17801 26180 y FB(r)18382 25596 y Fm(\(3\))18348 26527 y Fz(n)p Fw(+1)20176 26180 y FC(\(0\))21724 25149 y Fr(\014)21724 25877 y(\014)22466 26180 y Fy(\024)23930 25353 y FB("C)25246 25535 y Fz(g)25781 25353 y FC(\(1)270 b(+)f FB(cK)29894 25535 y Fw(3)30420 25353 y FB(\014)64 b FC(\))p FB(\014)p 23878 25901 8565 49 v 23878 27062 a FC([1)269 b(+)g(\()p FB(n)h FC(+)f(1\))p FB(")p FC(])30962 26711 y Fz(d=)p Fw(2)32575 26180 y FB(:)16516 b FC(\(A.19\))-638 29360 y(Assem)-34 b(bling)401 b(\(A.13\),)387 b(the)d(statemen)-34 b(t)385 b(b)34 b(elo)-34 b(w)400 b(\(A.17\))q(,)387 b(and)d(\(A.19\),)j(w)-34 b(e)384 b(obtain)g(the)g(\014rst)f(inequalit)-34 b(y)383 b(in)g(\(5.12\))h(if)-2520 30866 y FB(\014)468 b FC(is)404 b(su\016cien)-34 b(tly)404 b(small)g(and)h FB(K)12478 31048 y Fw(3)13341 30866 y Fy(\035)337 b FB(K)15919 31048 y Fw(1)16714 30866 y Fy(_)270 b FB(C)18543 31048 y Fz(g)19078 30866 y FC(.)p 51949 30866 45 819 v 51994 30092 728 45 v 51994 30866 V 52721 30866 45 819 v -2520 33327 a Fx(A)-62 b(dvanc)g(ement)432 b(of)h(the)g(se)-62 b(c)g(ond)432 b(ine)-62 b(quality)430 b(in)527 b FC(\(5.12\))q Fx(.)606 b FC(Let)403 b FB(k)375 b Fy(2)337 b(A)28625 33509 y Fz(n)p Fw(+1)30454 33327 y FC(.)538 b(First)404 b(w)-34 b(e)405 b(b)34 b(ound)39807 32297 y Fr(\014)39807 33024 y(\014)40211 33327 y FC(\001)p FB(r)41802 32743 y Fm(\(1\))41768 33674 y Fz(n)p Fw(+1)43597 33327 y FC(\()p FB(k)k FC(\))45208 32297 y Fr(\014)45208 33024 y(\014)46017 33327 y FC(b)-34 b(y)4197 36239 y(1)p 4197 36780 607 49 v 4217 37890 a FB(")5269 35544 y Fz(n)p Fw(+1)5280 35907 y Fr(X)5138 38498 y Fz(m)p Fw(=2)7375 35301 y Fr(\014)7375 36029 y(\014)7375 36756 y(\014)7375 37483 y(\014)7779 37059 y FB(g)8357 37241 y Fz(m)9245 37059 y FC(\()p FB(k)38 b FC(\))270 b Fy(\000)f FB(g)12916 37241 y Fz(m)13804 37059 y FC(\(0\))h Fy(\000)16967 36239 y FB(a)p FC(\()p FB(k)38 b FC(\))p 16967 36780 2253 49 v 17462 37890 a FB(\033)18198 37540 y Fw(2)19554 37059 y Fy(r)20564 36559 y Fw(2)21090 37059 y FB(g)21668 37241 y Fz(m)22556 37059 y FC(\(0\))24104 35301 y Fr(\014)24104 36029 y(\014)24104 36756 y(\014)24104 37483 y(\014)24778 37059 y FC(+)26123 36239 y(1)p 26123 36780 607 49 v 26143 37890 a FB(")27195 35544 y Fz(n)p Fw(+1)27206 35907 y Fr(X)27064 38498 y Fz(m)p Fw(=2)29301 37059 y Fy(j)p FB(g)30216 37241 y Fz(m)31103 37059 y FC(\()p FB(k)g FC(\))271 b Fy(\000)e FB(g)34775 37241 y Fz(m)35662 37059 y FC(\(0\))p Fy(j)37547 35301 y Fr(\014)37547 36029 y(\014)37547 36756 y(\014)37547 37483 y(\014)38085 36239 y FB(f)38678 36421 y Fz(n)p Fw(+1)p FM(\000)p Fz(m)42071 36239 y FC(\(0\))p 38085 36780 5535 49 v 39468 37890 a FB(f)40061 38072 y Fz(n)40688 37890 y FC(\(0\))44022 37059 y Fy(\000)g FC(1)45840 35301 y Fr(\014)45840 36029 y(\014)45840 36756 y(\014)45840 37483 y(\014)11759 41269 y FC(+)12835 40449 y(1)p 12835 40991 607 49 v 12855 42101 a FB(")13906 39754 y Fz(n)p Fw(+1)13917 40118 y Fr(X)13775 42709 y Fz(m)p Fw(=2)16012 41269 y Fy(j)p FB(g)16927 41451 y Fz(m)17814 41269 y FC(\()p FB(k)38 b FC(\))271 b Fy(\000)e FB(g)21486 41451 y Fz(m)22374 41269 y FC(\(0\))p Fy(j)24259 39512 y Fr(\014)24259 40239 y(\014)24259 40966 y(\014)24259 41694 y(\014)24796 40449 y FB(f)25389 40631 y Fz(n)p Fw(+1)p FM(\000)p Fz(m)28782 40449 y FC(\()p FB(k)38 b FC(\))p 24796 40991 5599 49 v 26179 42101 a FB(f)26772 42283 y Fz(n)27399 42101 y FC(\()p FB(k)g FC(\))30796 41269 y Fy(\000)32141 40449 y FB(f)32734 40631 y Fz(n)p Fw(+1)p FM(\000)p Fz(m)36127 40449 y FC(\(0\))p 32141 40991 5535 49 v 33524 42101 a FB(f)34117 42283 y Fz(n)34744 42101 y FC(\(0\))37809 39512 y Fr(\014)37809 40239 y(\014)37809 40966 y(\014)37809 41694 y(\014)38213 41269 y FB(:)10878 b FC(\(A.20\))-2520 45008 y(By)421 b(\(A.5\))404 b(with)h FB(\016)382 b(<)337 b FC(\001)8570 44568 y FM(0)9217 45008 y FB(<)10630 44531 y Fz(d)p FM(\000)p Fw(4)p 10630 44729 1687 49 v 11238 45426 a(2)12449 45008 y FC(,)404 b(the)g(\014rst)h(sum)f(is)g(b)34 b(ounded)406 b(b)-34 b(y)4690 48719 y FB(")5588 47203 y Fz(n)p Fw(+1)5599 47567 y Fr(X)5457 50158 y Fz(m)p Fw(=2)9356 47892 y FB(C)10107 48074 y Fz(g)10642 47892 y FB(\014)265 b(a)p FC(\()p FB(k)38 b FC(\))13845 47452 y Fw(1+\001)15831 47140 y Fv(0)p 7827 48440 9889 49 v 7827 49601 a FC(\(1)269 b(+)g FB(m")p FC(\))12485 49249 y Fw(\()p Fz(d)p FM(\000)p Fw(2\))p Fz(=)p Fw(2)p FM(\000)p Fw(\001)17359 48997 y Fv(0)18185 48719 y Fy(\024)336 b FB(cC)20740 48901 y Fz(g)21275 48719 y FB(\014)265 b(a)p FC(\()p FB(k)38 b FC(\))24478 47010 y Fr(\024)25251 47899 y FC(log)17 b([2)269 b(+)g(\()p FB(n)h FC(+)f(1\))p FB(")p FC(])p 25251 48440 8650 49 v 26034 49550 a([1)g(+)g(\()p FB(n)h FC(+)f(1\))p FB(")p FC(])34034 47010 y Fr(\025)34674 47312 y Fw(\001)35458 46999 y Fv(0)36148 48719 y Fy(\024)38847 47892 y FB(cC)40123 48074 y Fz(g)40658 47892 y FB(\014)c(a)p FC(\()p FB(k)38 b FC(\))p 37560 48440 7589 49 v 37560 49550 a([1)269 b(+)h(\()p FB(n)f FC(+)g(1\))p FB(")p FC(])44644 49200 y Fz(\016)45282 48719 y FB(:)3809 b FC(\(A.21\))-2520 52457 y(Using)438 b(Lemma)e(4.6)h(with)h FB(a)391 b FC(=)h FB(b)f FC(=)14805 51980 y Fz(d)p FM(\000)p Fw(2)p 14805 52178 1687 49 v 15413 52875 a(2)16625 52457 y FC(,)445 b(\(5.12\),)g(\(A.5\))438 b(with)g(\001)28322 52017 y FM(0)29024 52457 y FC(=)391 b(0,)445 b(\(A.6\))438 b(and)g(\(A.16\){\(A.17\))q(,)445 b(w)-34 b(e)437 b(b)34 b(ound)439 b(the)-2520 53963 y(second)405 b(sum)f(of)499 b(\(A.20\))405 b(b)-34 b(y)5801 56043 y Fz(n)p Fw(+1)5813 56407 y Fr(X)5671 58998 y Fz(m)p Fw(=2)9247 56732 y FC(2)p FB("C)11169 56914 y Fz(g)11704 56732 y FB(\014)265 b(a)p FC(\()p FB(k)38 b FC(\))p 8040 57280 8075 49 v 8040 58441 a(\(1)270 b(+)f FB(m")p FC(\))12699 58089 y Fw(\()p Fz(d)p FM(\000)p Fw(2\))p Fz(=)p Fw(2)18546 56043 y Fz(n)17956 56407 y Fr(X)16651 59042 y Fz(l)11 b Fw(=)p Fz(n)p Fw(+2)p FM(\000)p Fz(m)23347 56738 y FB("cK)25466 56920 y Fw(3)25992 56738 y FB(\014)p 21347 57280 7396 49 v 21347 58441 a FC(\(1)270 b(+)f FB(l)24 b(")p FC(\))25328 58089 y Fw(\()p Fz(d)p FM(\000)p Fw(2\))p Fz(=)p Fw(2)29212 57558 y Fy(\024)33949 56732 y FB(cC)35225 56914 y Fz(g)35760 56732 y FB(K)36789 56914 y Fw(3)37315 56732 y FB(\014)38065 56292 y Fw(2)38590 56732 y FB(a)p FC(\()p FB(k)38 b FC(\))p 30624 57280 13545 49 v 30624 58441 a([1)269 b(+)g(\()p FB(n)h FC(+)f(1\))p FB(")p FC(])37708 58089 y Fw(\()p Fz(d)p FM(\000)p Fw(2\))p Fz(=)p Fw(2)p FM(^)p Fw(\()p Fz(d)p FM(\000)p Fw(4\))44301 57558 y FB(;)4790 b FC(\(A.22\))-2520 61433 y(where)1093 60956 y Fz(d)p FM(\000)p Fw(2)p 1093 61154 1687 49 v 1701 61851 a(2)3131 61433 y Fy(^)219 b FC(\()p FB(d)g Fy(\000)g FC(4\))337 b(=)9467 60956 y Fz(d)p FM(\000)p Fw(4)p 9467 61154 V 10075 61851 a(2)11505 61433 y FC(+)219 b(1)g Fy(^)14652 60956 y Fz(d)p FM(\000)p Fw(4)p 14652 61154 V 15260 61851 a(2)16808 61433 y Fy(\025)336 b FC(2)p FB(\016)46 b FC(.)530 b(By)395 b(\(A.14\))379 b(and)h(the)f(same)g (argumen)-34 b(t)380 b(as)f(in)g(\(A.16\),)384 b(the)379 b(third)h(sum)-2520 62939 y(of)499 b(\(A.20\))405 b(is)f(b)34 b(ounded)405 b(b)-34 b(y)6488 65019 y Fz(n)p Fw(+1)6499 65383 y Fr(X)6357 67974 y Fz(m)p Fw(=2)9933 65708 y FC(2)p FB("C)11855 65890 y Fz(g)12391 65708 y FB(\014)265 b(a)p FC(\()p FB(k)38 b FC(\))p 8727 66256 8075 49 v 8727 67417 a(\(1)270 b(+)f FB(m")p FC(\))13386 67065 y Fw(\()p Fz(d)p FM(\000)p Fw(2\))p Fz(=)p Fw(2)17136 64777 y Fr(\014)17136 65504 y(\014)17136 66232 y(\014)17136 66959 y(\014)17673 65715 y FB(f)18266 65897 y Fz(n)p Fw(+1)p FM(\000)p Fz(m)21659 65715 y FC(\(0\))p 17673 66256 5535 49 v 19056 67366 a FB(f)19649 67548 y Fz(n)20276 67366 y FC(\(0\))23341 64777 y Fr(\014)23341 65504 y(\014)23341 66232 y(\014)23341 66959 y(\014)23947 64777 y(\014)23947 65504 y(\014)23947 66232 y(\014)23947 66959 y(\014)26448 65019 y Fz(n)25959 65383 y Fr(Y)24553 68018 y Fz(l)11 b Fw(=)p Fz(n)p Fw(+2)p FM(\000)p Fz(m)28913 66535 y FC([1)269 b Fy(\000)h FB("v)32491 66732 y Fz(l)33039 66535 y FB(a)p FC(\()p FB(k)38 b FC(\))270 b(+)f FB("s)37906 66732 y Fz(l)38253 66535 y FC(\()p FB(k)38 b FC(\)])40201 66034 y FM(\000)p Fw(1)41729 66535 y Fy(\000)269 b FC(1)43547 64777 y Fr(\014)43547 65504 y(\014)43547 66232 y(\014)43547 66959 y(\014)10398 70882 y Fy(\024)11808 69366 y Fz(n)p Fw(+1)11819 69730 y Fr(X)11678 72321 y Fz(m)p Fw(=2)15253 70055 y FC(2)p FB("C)17175 70237 y Fz(g)17711 70055 y FB(\014)c(a)p FC(\()p FB(k)38 b FC(\))p 14047 70603 8075 49 v 14047 71764 a(\(1)270 b(+)f FB(m")p FC(\))18706 71412 y Fw(\()p Fz(d)p FM(\000)p Fw(2\))p Fz(=)p Fw(2)22456 69900 y Fr(\000)23012 70882 y FC(1)g(+)g FB(\036)25821 71064 y Fz(m;n)27743 70882 y FB(e)28307 70381 y Fz(\036)28866 70492 y Fp(m;n)30468 69900 y Fr(\001)31225 70882 y FB( )32015 71064 y Fz(m;n)33735 70882 y FC(\()p FB(k)38 b FC(\))202 b FB(e)36112 70381 y Fz( )36727 70492 y Fp(m;n)38273 70381 y Fw(\()p Fz(k)24 b Fw(\))39574 70882 y FB(;)9517 b FC(\(A.23\))24548 75763 y(45)p eop end %%Page: 46 46 TeXDict begin 46 45 bop -2520 -1931 a FC(where)14160 1382 y FB( )14950 1564 y Fz(m;n)16669 1382 y FC(\()p FB(k)38 b FC(\))338 b(=)21792 -134 y Fz(n)21202 230 y Fr(X)19897 2865 y Fz(l)11 b Fw(=)p Fz(n)p Fw(+2)p FM(\000)p Fz(m)25636 562 y FB("v)26789 759 y Fz(l)27136 562 y FB(a)p FC(\()p FB(k)38 b FC(\))270 b(+)f FB(")p Fy(j)p FB(s)32340 759 y Fz(l)32687 562 y FC(\()p FB(k)38 b FC(\))p Fy(j)p 24593 1103 11087 49 v 24593 2213 a FC(1)269 b Fy(\000)g FB("v)27833 2410 y Fz(l)28180 2213 y FB(a)p FC(\()p FB(k)38 b FC(\))270 b Fy(\000)f FB(")p Fy(j)p FB(s)33384 2410 y Fz(l)33731 2213 y FC(\()p FB(k)38 b FC(\))p Fy(j)35812 1382 y FB(:)13279 b FC(\(A.24\))-2520 5428 y(As)405 b(discussed)f(b)34 b(elo)-34 b(w)421 b(\(A.17\))q(,)404 b FB(\036)12859 5610 y Fz(m;n)14781 5428 y FB(e)15345 4988 y Fz(\036)15904 5099 y Fp(m;n)17842 5428 y Fy(\024)336 b FB(cK)20675 5610 y Fw(3)21201 5428 y FB(\014)64 b FC(.)538 b(By)420 b(\(5.19\))405 b(and)g(\(5.16\))q(,)1966 8835 y FB(v)2554 9032 y Fz(l)3103 8835 y FB(a)p FC(\()p FB(k)38 b FC(\))270 b(+)f Fy(j)p FB(s)7742 9032 y Fz(l)8088 8835 y FC(\()p FB(k)38 b FC(\))p Fy(j)338 b(\024)11653 7125 y Fr(\024)12293 8835 y FB(v)12881 9032 y Fz(l)13496 8835 y FC(+)270 b(\(1)f(+)g FB("cK)19386 9017 y Fw(3)19913 8835 y FB(\014)64 b FC(\))21267 8014 y(\(1)269 b(+)g FB("v)24978 8211 y Fz(l)25325 8014 y FC(\))p FB(K)26825 8196 y Fw(3)27351 8014 y FB(\014)p 21267 8556 6835 49 v 22441 9666 a FC(\(1)g(+)h FB(l)24 b(")p FC(\))26422 9316 y Fz(\016)28234 7125 y Fr(\025)28874 8835 y FB(a)p FC(\()p FB(k)38 b FC(\))337 b Fy(\024)f FC([1)269 b(+)h FB(c)202 b FC(\()p FB(K)37394 9017 y Fw(1)38189 8835 y FC(+)269 b FB(K)40430 9017 y Fw(2)41226 8835 y FC(+)g FB(K)43467 9017 y Fw(3)43993 8835 y FC(\))p FB(\014)64 b FC(])202 b FB(a)p FC(\()p FB(k)38 b FC(\))p FB(:)-2520 12190 y FC(Let)404 b FB(q)380 b FC(=)337 b(1)269 b(+)g FB(c)202 b FC(\()p FB(K)6167 12372 y Fw(1)6963 12190 y FC(+)269 b FB(K)9204 12372 y Fw(2)10000 12190 y FC(+)g FB(K)12241 12372 y Fw(3)12767 12190 y FC(\))p FB(\014)64 b FC(.)538 b(Then)10324 15517 y FB( )11114 15699 y Fz(m;n)12834 15517 y FC(\()p FB(k)38 b FC(\))338 b Fy(\024)16195 14697 y FC(\()p FB(m)270 b Fy(\000)f FC(1\))p FB("q)246 b(a)p FC(\()p FB(k)38 b FC(\))p 16195 15238 7700 49 v 17198 16348 a(1)270 b Fy(\000)f FB("q)246 b(a)p FC(\()p FB(k)38 b FC(\))24364 15517 y Fy(\024)336 b FC([1)269 b(+)g FB(c")202 b(a)p FC(\()p FB(k)38 b FC(\)]\()p FB(m)270 b Fy(\000)f FC(1\))p FB("q)247 b(a)p FC(\()p FB(k)38 b FC(\))p FB(;)9444 b FC(\(A.25\))-2520 19207 y(whic)-34 b(h)405 b(is)f(b)34 b(ounded)406 b(b)-34 b(y)404 b FB(\015)67 b(q)10079 18225 y Fr(\002)10585 19207 y FC(1)269 b(+)g FB(c")13895 18610 y Fw(log)14 b([2+\()p Fz(n)p Fw(+1\))p Fz(")p Fw(])p 13895 18928 5880 49 v 14764 19641 a(1+\()p Fz(n)p Fw(+1\))p Fz(")19908 18225 y Fr(\003)20615 19207 y FC(log)i([2)269 b(+)h(\()p FB(n)f FC(+)g(1\))p FB(")p FC(],)404 b(and)h(th)-34 b(us)12744 22322 y FB(e)13308 21821 y Fz( )13923 21932 y Fp(m;n)15468 21821 y Fw(\()p Fz(k)24 b Fw(\))17106 22322 y Fy(\024)336 b FB(c)202 b(e)19676 21821 y Fz(\015)52 b(q)189 b Fw(log)14 b([2+\()p Fz(n)p Fw(+1\))p Fz(")p Fw(])27094 22322 y Fy(\024)336 b FB(c)202 b FC([1)269 b(+)g(\()p FB(n)g FC(+)h(1\))p FB(")p FC(])36184 21821 y Fz(\015)52 b(q)37228 22322 y FB(:)11863 b FC(\(A.26\))-2520 25160 y(Since)404 b FB(\016)383 b(<)336 b FC(1)269 b Fy(^)4932 24683 y Fz(d)p FM(\000)p Fw(4)p 4932 24881 1687 49 v 5540 25578 a(2)7020 25160 y Fy(\000)g FB(\015)67 b FC(,)404 b(w)-34 b(e)405 b(tak)-34 b(e)404 b FB(q)448 b FC(to)404 b(b)34 b(e)404 b(close)f(to)i(1,)e(b)-34 b(y)405 b(letting)f FB(\014)468 b FC(b)34 b(e)404 b(small,)f(to)i(b)34 b(ound)405 b(\(A.23\))g(b)-34 b(y)7556 29080 y FB(cC)8832 29262 y Fz(g)9366 29080 y FB(\014)266 b(a)p FC(\()p FB(k)38 b FC(\))13044 28260 y(log)16 b([2)270 b(+)f(\()p FB(n)g FC(+)g(1\))p FB(")p FC(])p 12703 28801 9331 49 v 12703 29911 a([1)h(+)f(\()p FB(n)g FC(+)g(1\))p FB(")p FC(])19787 29561 y Fw(1)p FM(\000)p Fz(\015)52 b(q)22499 27565 y(n)p Fw(+1)22511 27928 y Fr(X)22369 30519 y Fz(m)p Fw(=2)28493 28260 y FB(")p 24738 28801 8075 49 v 24738 29963 a FC(\(1)270 b(+)f FB(m")p FC(\))29397 29611 y Fw(\()p Fz(d)p FM(\000)p Fw(4\))p Fz(=)p Fw(2)33282 29080 y Fy(\024)35981 28253 y FB(cC)37257 28435 y Fz(g)37792 28253 y FB(\014)c(a)p FC(\()p FB(k)38 b FC(\))p 34694 28801 7589 49 v 34694 29912 a([1)269 b(+)h(\()p FB(n)f FC(+)g(1\))p FB(")p FC(])41778 29561 y Fz(\016)42416 29080 y FB(:)6675 b FC(\(A.27\))-2520 33017 y(By)494 b(\(A.20\))q({\(A.22\))478 b(and)h(\(A.27\))q(,)14022 31986 y Fr(\014)14022 32714 y(\014)14426 33017 y FC(\001)p FB(r)16017 32433 y Fm(\(1\))15983 33364 y Fz(n)p Fw(+1)17812 33017 y FC(\()p FB(k)38 b FC(\))19423 31986 y Fr(\014)19423 32714 y(\014)20306 33017 y FC(is)477 b(b)34 b(ounded)479 b(b)-34 b(y)478 b(the)h(second)f(b)34 b(ound)479 b(of)572 b(\(5.12\))478 b(if)g FB(\014)542 b FC(is)477 b(su\016cien)-34 b(tly)-2520 34522 y(small)404 b(and)h FB(K)4038 34704 y Fw(3)4901 34522 y Fy(\035)337 b FB(C)7201 34704 y Fz(g)7736 34522 y FC(.)-638 36028 y(Next)404 b(w)-34 b(e)405 b(use)f(\(A.4\))h(and)f (\(A.16\))q({\(A.17\))h(to)f(b)34 b(ound)24790 34997 y Fr(\014)24790 35725 y(\014)25194 36028 y FC(\001)p FB(r)26785 35444 y Fm(\(2\))26751 36375 y Fz(n)p Fw(+1)28579 36028 y FC(\()p FB(k)k FC(\))30190 34997 y Fr(\014)30190 35725 y(\014)30999 36028 y FC(b)-34 b(y)1917 39149 y(1)p 1917 39690 607 49 v 1937 40800 a FB(")2989 38454 y Fz(n)p Fw(+1)3000 38817 y Fr(X)2858 41408 y Fz(m)p Fw(=2)5095 39969 y Fy(j)p FB(g)6010 40151 y Fz(m)6897 39969 y FC(\(0\))p Fy(j)8984 38211 y Fr(\014)8984 38939 y(\014)8984 39666 y(\014)8984 40393 y(\014)9521 39149 y FB(f)10114 39331 y Fz(n)p Fw(+1)p FM(\000)p Fz(m)13508 39149 y FC(\(0\))p 9521 39690 5535 49 v 10905 40800 a FB(f)11498 40982 y Fz(n)12124 40800 y FC(\(0\))15189 38211 y Fr(\014)15189 38939 y(\014)15189 39666 y(\014)15189 40393 y(\014)15795 38211 y(\014)15795 38939 y(\014)15795 39666 y(\014)15795 40393 y(\014)18296 38454 y Fz(n)17807 38817 y Fr(Y)16401 41452 y Fz(l)11 b Fw(=)p Fz(n)p Fw(+2)p FM(\000)p Fz(m)20762 39969 y FC([1)269 b Fy(\000)g FB("v)24339 40166 y Fz(l)24888 39969 y FB(a)p FC(\()p FB(k)38 b FC(\))270 b(+)f FB(")202 b(s)29957 40166 y Fz(l)30304 39969 y FC(\()p FB(k)38 b FC(\)])32252 39468 y FM(\000)p Fw(1)33779 39969 y Fy(\000)270 b FC(1)f Fy(\000)g FC(\()p FB(m)h Fy(\000)f FC(1\))p FB("v)42326 40151 y Fz(n)p Fw(+1)44357 39969 y FB(a)p FC(\()p FB(k)38 b FC(\))46609 38211 y Fr(\014)46609 38939 y(\014)46609 39666 y(\014)46609 40393 y(\014)6902 44316 y FC(+)8247 43496 y(1)p 8247 44037 607 49 v 8267 45147 a FB(")9319 42801 y Fz(n)p Fw(+1)9330 43164 y Fr(X)9188 45755 y Fz(m)p Fw(=2)11424 44316 y Fy(j)p FB(g)12339 44498 y Fz(m)13227 44316 y FC(\(0\))p Fy(j)15314 42558 y Fr(\014)15314 43286 y(\014)15314 44013 y(\014)15314 44740 y(\014)15851 43496 y FB(f)16444 43678 y Fz(n)p Fw(+1)p FM(\000)p Fz(m)19837 43496 y FC(\(0\))p 15851 44037 5535 49 v 17235 45147 a FB(f)17828 45329 y Fz(n)18454 45147 y FC(\(0\))21788 44316 y Fy(\000)270 b FC(1)23607 42558 y Fr(\014)23607 43286 y(\014)23607 44013 y(\014)23607 44740 y(\014)24213 44316 y FC(\()p FB(m)g Fy(\000)f FC(1\))p FB("v)29460 44498 y Fz(n)p Fw(+1)31491 44316 y FB(a)p FC(\()p FB(k)38 b FC(\))2121 48526 y Fy(\024)3531 47011 y Fz(n)p Fw(+1)3542 47375 y Fr(X)3400 49966 y Fz(m)p Fw(=2)5770 47700 y FB("C)7086 47882 y Fz(g)7621 47700 y FB(\014)265 b FC(\(1)270 b(+)f FB(\036)11853 47882 y Fz(m;n)13776 47700 y FB(e)14340 47260 y Fz(\036)14899 47371 y Fp(m;n)16500 47700 y FC(\))p 5770 48247 11202 49 v 8300 49409 a(\(1)h(+)f FB(m")p FC(\))12959 49057 y Fz(d=)p Fw(2)17306 46769 y Fr(\014)17306 47496 y(\014)17306 48223 y(\014)17306 48951 y(\014)19807 47011 y Fz(n)19318 47375 y Fr(Y)17912 50010 y Fz(l)11 b Fw(=)p Fz(n)p Fw(+2)p FM(\000)p Fz(m)22273 48526 y FC([1)269 b Fy(\000)g FB("v)25850 48723 y Fz(l)26398 48526 y FB(a)p FC(\()p FB(k)38 b FC(\))270 b(+)f FB(")202 b(s)31467 48723 y Fz(l)31815 48526 y FC(\()p FB(k)38 b FC(\)])33763 48026 y FM(\000)p Fw(1)35290 48526 y Fy(\000)269 b FC(1)h Fy(\000)f FC(\()p FB(m)h Fy(\000)f FC(1\))p FB("v)43837 48708 y Fz(n)p Fw(+1)45868 48526 y FB(a)p FC(\()p FB(k)38 b FC(\))48120 46769 y Fr(\014)48120 47496 y(\014)48120 48223 y(\014)48120 48951 y(\014)6902 52873 y FC(+)8245 51358 y Fz(n)p Fw(+1)8256 51722 y Fr(X)8114 54313 y Fz(m)p Fw(=2)10785 52047 y FB("C)12101 52229 y Fz(g)12636 52047 y FB(\014)64 b(v)13974 52229 y Fz(n)p Fw(+1)16004 52047 y FB(a)p FC(\()p FB(k)38 b FC(\))p 10484 52594 8075 49 v 10484 53756 a(\(1)269 b(+)g FB(m")p FC(\))15142 53404 y Fw(\()p Fz(d)p FM(\000)p Fw(2\))p Fz(=)p Fw(2)18893 52873 y FB(\036)19615 53055 y Fz(m;n)21537 52873 y FB(e)22101 52373 y Fz(\036)22660 52484 y Fp(m;n)24261 52873 y FB(:)24830 b FC(\(A.28\))-2520 56638 y(By)419 b(\(5.12\))q(,)403 b(\(5.19\))g(and)h(Lemma)e(4.6,)h(the)g(second)h (sum)f(in)g(\(A.28\))g(is)g(b)34 b(ounded)404 b(b)-34 b(y)404 b(the)f(same)g(b)34 b(ound)404 b(as)f(in)g(\(A.22\))q(.)-2520 58143 y(W)-101 b(e)404 b(use)g(\(A.15\))h(to)f(b)34 b(ound)406 b(the)e(\014rst)h(sum)g(in)f(\(A.28\))g(b)-34 b(y)5204 60433 y Fz(n)p Fw(+1)5216 60796 y Fr(X)5074 63387 y Fz(m)p Fw(=2)8951 61121 y FB(c"C)10792 61303 y Fz(g)11326 61121 y FB(\014)p 7443 61669 6141 49 v 7443 62831 a FC(\(1)270 b(+)f FB(m")p FC(\))12102 62479 y Fz(d=)p Fw(2)13918 60239 y Fr(\024)14558 61948 y FB( )15348 62130 y Fz(m;n)17067 61948 y FC(\()p FB(k)38 b FC(\))18678 61447 y Fw(2)19407 61948 y FB(e)19971 61447 y Fz( )20586 61558 y Fp(m;n)22132 61447 y Fw(\()p Fz(k)24 b Fw(\))23702 61948 y FC(+)26809 60433 y Fz(n)26219 60796 y Fr(X)24914 63432 y Fz(l)11 b Fw(=)p Fz(n)p Fw(+2)p FM(\000)p Fz(m)29476 60966 y Fr(\002)29981 61948 y FB(")p Fy(j)p FB(v)31471 62145 y Fz(l)32087 61948 y Fy(\000)269 b FB(v)33887 62130 y Fz(n)p Fw(+1)35715 61948 y Fy(j)202 b FB(a)p FC(\()p FB(k)38 b FC(\))270 b(+)f FB(")p Fy(j)p FB(s)41458 62145 y Fz(l)41805 61948 y FC(\()p FB(k)38 b FC(\))p Fy(j)43753 60966 y Fr(\003)44259 60239 y(\025)44898 61948 y FB(:)-2520 66044 y FC(By)435 b(\(A.25\))q({\(A.26\))q(,)422 b(the)d(con)-34 b(tribution)421 b(from)e FB( )20274 66226 y Fz(m;n)21994 66044 y FC(\()p FB(k)38 b FC(\))23605 65604 y Fw(2)24333 66044 y FB(e)24897 65604 y Fz( )25512 65715 y Fp(m;n)27058 65604 y Fw(\()p Fz(k)24 b Fw(\))28778 66044 y FC(is)418 b(b)34 b(ounded)421 b(b)-34 b(y)419 b(the)g(same)g(b)34 b(ound)420 b(in)f(\(A.27\))q(.)583 b(By)-2520 67549 y(\(5.10\))q(,)404 b(\(5.16\))g(and)h(Lemma)f(4.6,)f(the)i(other)f(con)-34 b(tribution)406 b(is)e(b)34 b(ounded)405 b(b)-34 b(y)3666 69839 y Fz(n)p Fw(+1)3677 70202 y Fr(X)3535 72793 y Fz(m)p Fw(=2)7412 70527 y FB(c"C)9253 70709 y Fz(g)9788 70527 y FB(\014)p 5905 71075 V 5905 72237 a FC(\(1)270 b(+)f FB(m")p FC(\))10564 71885 y Fz(d=)p Fw(2)14275 69839 y Fz(n)13685 70202 y Fr(X)12380 72838 y Fz(l)11 b Fw(=)p Fz(n)p Fw(+2)p FM(\000)p Fz(m)16942 69645 y Fr(\024)18488 70534 y FB(c"K)20607 70716 y Fw(2)21133 70534 y FB(\014)266 b(a)p FC(\()p FB(k)38 b FC(\))p 17715 71075 7396 49 v 17715 72237 a(\(1)270 b(+)f FB(l)24 b(")p FC(\))21696 71885 y Fw(\()p Fz(d)p FM(\000)p Fw(4\))p Fz(=)p Fw(2)25513 71354 y FC(+)26858 70534 y FB(c"K)28977 70716 y Fw(3)29503 70534 y FB(\014)265 b(a)p FC(\()p FB(k)38 b FC(\))p 26858 71075 5850 49 v 27539 72186 a(\(1)270 b(+)f FB(l)24 b(")p FC(\))31520 71836 y Fz(\016)32840 69645 y Fr(\025)33816 71354 y Fy(\024)35229 70527 y FB(cC)36505 70709 y Fz(g)37241 70527 y FC(\()p FB(K)38741 70709 y Fw(2)39537 70527 y FC(+)269 b FB(K)41778 70709 y Fw(3)42304 70527 y FC(\))p FB(\014)43525 70087 y Fw(2)44051 70527 y FB(a)p FC(\()p FB(k)38 b FC(\))p 35229 71075 11076 49 v 36972 72186 a([1)269 b(+)g(\()p FB(n)g FC(+)g(1\))p FB(")p FC(])44055 71836 y Fz(\016)46437 71354 y FB(:)24548 75763 y FC(46)p eop end %%Page: 47 47 TeXDict begin 47 46 bop -2520 -1931 a FC(Therefore)2975 -2961 y Fr(\014)2975 -2234 y(\014)3379 -1931 y FC(\001)p FB(r)4970 -2514 y Fm(\(2\))4936 -1584 y Fz(n)p Fw(+1)6765 -1931 y FC(\()p FB(k)38 b FC(\))8376 -2961 y Fr(\014)8376 -2234 y(\014)9185 -1931 y FC(is)404 b(also)g(b)34 b(ounded)405 b(b)-34 b(y)405 b(the)f(second)h(b)34 b(ound)405 b(of)499 b(\(5.12\))405 b(if)f FB(\014)467 b FC(is)404 b(su\016cien)-34 b(tly)404 b(small.)-638 -299 y(Finally)-101 b(,)403 b(w)-34 b(e)405 b(b)34 b(ound)9244 -1329 y Fr(\014)9244 -602 y(\014)9648 -299 y FC(\001)p FB(r)11239 -882 y Fm(\(3\))11205 48 y Fz(n)p Fw(+1)13034 -299 y FC(\()p FB(k)k FC(\))14645 -1329 y Fr(\014)14645 -602 y(\014)15454 -299 y FC(b)-34 b(y)13357 1343 y Fr(\014)13357 2071 y(\014)13357 2798 y(\014)13357 3525 y(\014)13894 2281 y FB(e)14458 2463 y Fz(n)p Fw(+1)16287 2281 y FC(\()p FB(k)38 b FC(\))p 13894 2822 4005 49 v 14230 3932 a FB("f)15388 4114 y Fz(n)16015 3932 y FC(\(0\))18032 1343 y Fr(\014)18032 2071 y(\014)18032 2798 y(\014)18032 3525 y(\014)18638 1343 y(\014)18638 2071 y(\014)18638 2798 y(\014)18638 3525 y(\014)19207 2281 y FB(f)19800 2463 y Fz(n)20426 2281 y FC(\(0\))p 19175 2822 2832 49 v 19175 3932 a FB(f)19768 4114 y Fz(n)20395 3932 y FC(\()p FB(k)g FC(\))22409 3101 y Fy(\000)269 b FC(1)24227 1343 y Fr(\014)24227 2071 y(\014)24227 2798 y(\014)24227 3525 y(\014)24900 3101 y FC(+)26113 1343 y Fr(\014)26113 2071 y(\014)26113 2798 y(\014)26113 3525 y(\014)26649 2281 y FB(e)27213 2463 y Fz(n)p Fw(+1)29042 2281 y FC(\()p FB(k)38 b FC(\))271 b Fy(\000)e FB(e)32700 2463 y Fz(n)p Fw(+1)34529 2281 y FC(\(0\))p 26649 2822 9429 49 v 29697 3932 a FB("f)30855 4114 y Fz(n)31482 3932 y FC(\(0\))36210 1343 y Fr(\014)36210 2071 y(\014)36210 2798 y(\014)36210 3525 y(\014)36614 3101 y FB(:)12477 b FC(\(A.29\))-2520 6717 y(By)593 b(\(A.18\))q(,)619 b Fy(j)p FB(f)4859 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FB(\014)265 b(a)p FC(\()p FB(k)38 b FC(\))p 18876 11456 12220 49 v 18876 12618 a([1)269 b(+)h(\()p FB(n)f FC(+)g(1\))p FB(")p FC(])25960 12266 y Fw(\()p Fz(d)p FM(\000)p Fw(2\))p Fz(=)p Fw(2)p FM(\000)p Fz(\015)52 b(q)31228 11735 y FB(:)17863 b FC(\(A.30\))-2520 15216 y(Supp)34 b(ose)364 b(that)g FB(q)406 b FC(is)363 b(su\016cien)-34 b(tly)363 b(close)f(to)h(1.)525 b(Since)363 b FB(\015)253 b FC(+)187 b FB(\016)382 b(<)336 b FC(1)187 b Fy(^)27954 14738 y Fz(d)p FM(\000)p Fw(4)p 27954 14936 1687 49 v 28562 15634 a(2)29773 15216 y FC(,)371 b(this)363 b(implies)f(the)i (desired)e(b)34 b(ound)364 b(if)f FB(K)48794 15398 y Fw(3)49657 15216 y Fy(\035)337 b FB(C)51957 15398 y Fz(g)52492 15216 y FC(.)-2520 16721 y(This)314 b(completes)f(the)h(adv)-67 b(ancemen)-34 b(t)314 b(of)f(the)h(second)f(inequalit)-34 b(y)313 b(in)g(\(5.12\))q(,)331 b(and)314 b(th)-34 b(us)315 b(the)e(adv)-67 b(ancemen)-34 b(t)314 b(of)g(\(H3\).)p 51949 16721 45 819 v 51994 15947 728 45 v 51994 16721 V 52721 16721 45 819 v -2520 19903 a Fs(Adv)-77 b(ancemen)-39 b(t)464 b(of)h(\(H4\).)1212 b FC(Let)404 b FB(k)509 b(=)-740 b Fy(2)336 b(A)17569 20085 y Fz(n)p Fw(+1)19398 19903 y FC(.)538 b(T)-101 b(o)405 b(adv)-67 b(ance)404 b(\(H4\),)g(w)-34 b(e)405 b(rewrite)e(\(5.3\))i(as)9573 23616 y FB(f)10166 23798 y Fz(n)p Fw(+1)11995 23616 y FC(\()p FB(k)38 b FC(\))338 b(=)15223 21907 y Fr(\024)15863 23616 y FB(g)16441 23798 y Fw(1)16967 23616 y FC(\()p FB(k)38 b FC(\))270 b(+)20191 22101 y Fz(n)p Fw(+1)20202 22464 y Fr(X)20060 25055 y Fz(m)p Fw(=2)22297 23616 y FB(g)22875 23798 y Fz(m)23763 23616 y FC(\()p FB(k)38 b FC(\))25374 21907 y Fr(\025)26014 23616 y FB(f)26607 23798 y Fz(n)27234 23616 y FC(\()p FB(k)g FC(\))270 b(+)f FB(W)31472 23798 y Fz(n)p Fw(+1)33301 23616 y FC(\()p FB(k)38 b FC(\))270 b(+)f FB(e)36958 23798 y Fz(n)p Fw(+1)38787 23616 y FC(\()p FB(k)38 b FC(\))p FB(;)-2520 27221 y FC(where)1686 30631 y FB(W)2831 30813 y Fz(n)p Fw(+1)4659 30631 y FC(\()p FB(k)g FC(\))338 b(=)8018 29116 y Fz(n)p Fw(+1)8029 29479 y Fr(X)7887 32070 y Fz(m)p Fw(=2)10124 30631 y FB(g)10702 30813 y Fz(m)11590 30631 y FC(\()p FB(k)38 b FC(\))202 b([)p Fy(\000)p FB(f)15276 30813 y Fz(n)15903 30631 y FC(\()p FB(k)38 b FC(\))270 b(+)f FB(f)19589 30813 y Fz(n)p Fw(+1)p FM(\000)p Fz(m)22982 30631 y FC(\()p FB(k)38 b FC(\)])338 b(=)26678 29116 y Fz(n)p Fw(+1)26689 29479 y Fr(X)26547 32070 y Fz(m)p Fw(=2)28784 30631 y FB(g)29362 30813 y Fz(m)30250 30631 y FC(\()p FB(k)38 b FC(\))33958 29116 y Fz(n)33368 29479 y Fr(X)32063 32115 y Fz(l)11 b Fw(=)p Fz(n)p Fw(+2)p FM(\000)p Fz(m)36424 30631 y FC([)p FB(f)37354 30828 y Fz(l)g FM(\000)p Fw(1)38903 30631 y FC(\()p FB(k)38 b FC(\))270 b Fy(\000)g FB(f)42590 30828 y Fz(l)42937 30631 y FC(\()p FB(k)38 b FC(\)])p FB(:)4206 b FC(\(A.31\))-2520 34373 y(F)-101 b(urthermore,)4032 38018 y FB(g)4610 38200 y Fw(1)5136 38018 y FC(\()p FB(k)38 b FC(\))270 b(+)8360 36503 y Fz(n)p Fw(+1)8371 36867 y Fr(X)8229 39458 y Fz(m)p Fw(=2)10466 38018 y FB(g)11044 38200 y Fz(m)11932 38018 y FC(\()p FB(k)38 b FC(\))337 b(=1)270 b Fy(\000)16911 36309 y Fr(\024)17550 38018 y FB(\025)g Fy(\000)20482 37198 y FC(1)p 19872 37740 1828 49 v 19872 38850 a FB(\033)20608 38500 y Fw(2)21134 38850 y FB(")22164 36503 y Fz(n)p Fw(+1)22176 36867 y Fr(X)22034 39458 y Fz(m)p Fw(=2)24270 38018 y Fy(r)25280 37518 y Fw(2)25806 38018 y FB(g)26384 38200 y Fz(m)27272 38018 y FC(\(0\))28820 36309 y Fr(\025)29461 38018 y FB(")202 b(a)p FC(\()p FB(k)38 b FC(\))270 b(+)33962 36309 y Fr(\024)34602 38018 y FC(\()p FB(\025)g Fy(\000)f FC(1\))p FB(")h FC(+)40516 36503 y Fz(n)p Fw(+1)40528 36867 y Fr(X)40386 39458 y Fz(m)p Fw(=2)42622 38018 y FB(g)43200 38200 y Fz(m)44088 38018 y FC(\(0\))45636 36309 y Fr(\025)16305 42229 y FC(+)17647 40714 y Fz(n)p Fw(+1)17659 41077 y Fr(X)17517 43668 y Fz(m)p Fw(=2)19753 40520 y Fr(\024)20393 42229 y FB(g)20971 42411 y Fz(m)21859 42229 y FC(\()p FB(k)38 b FC(\))270 b Fy(\000)f FB(g)25530 42411 y Fz(m)26418 42229 y FC(\(0\))h Fy(\000)29581 41409 y FB(a)p FC(\()p 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y FB(g)23981 48412 y Fz(m)24868 48230 y FC(\(0\))26416 47248 y Fr(\003)26922 48230 y FC(,)375 b(and)369 b(w)-34 b(e)369 b(recall)e(that)j FB(N)38469 48412 y Fz(n)39463 48230 y FC(is)e(the)h(n)-34 b(umerator)369 b(of)463 b(\(5.8\))q(.)-2520 49735 y(Therefore,)4358 52333 y FB(f)4951 52515 y Fz(n)p Fw(+1)6780 52333 y FC(\()p FB(k)38 b FC(\))338 b(=)e FB(f)10601 52515 y Fz(n)11228 52333 y FC(\()p FB(k)38 b FC(\))13041 51351 y Fr(\002)13547 52333 y FC(1)269 b Fy(\000)g FB(N)16608 52515 y Fz(n)p Fw(+1)18639 52333 y FB(")202 b(a)p FC(\()p FB(k)38 b FC(\))270 b(+)f FB("r)24286 51749 y Fm(\(1\))24252 52680 y Fz(n)p Fw(+1)26081 52333 y FC(\(0\))h(+)f FB(X)30115 52515 y Fz(n)p Fw(+1)31944 52333 y FC(\()p FB(k)38 b FC(\))33555 51351 y Fr(\003)34330 52333 y FC(+)269 b FB(W)36687 52515 y Fz(n)p Fw(+1)38516 52333 y FC(\()p FB(k)38 b FC(\))270 b(+)f FB(e)42173 52515 y Fz(n)p Fw(+1)44002 52333 y FC(\()p FB(k)38 b FC(\))p FB(:)3478 b FC(\(A.32\))-2520 55091 y(By)513 b(\(A.9\),)519 b Fy(j)p FB(N)4453 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46991 57181 a(2)48660 56763 y FC(\(see)g(the)-2520 58268 y(left-hand)406 b(side)e(of)499 b(\(A.21\)\).)539 b(W)-101 b(e)404 b(pro)-34 b(v)g(e)404 b(b)34 b(elo)-34 b(w)13204 61611 y Fy(j)p FB(W)14686 61793 y Fz(n)p Fw(+1)16514 61611 y FC(\()p FB(k)38 b FC(\))p Fy(j)338 b(\024)20212 60785 y FB(c"C)22053 60967 y Fz(g)22587 60785 y FC(\(1)270 b(+)f FB(K)26175 60967 y Fw(3)26702 60785 y FB(\014)333 b FC(+)269 b FB(K)29962 60967 y Fw(5)30488 60785 y FC(\))p FB(\014)d(a)p FC(\()p FB(k)38 b FC(\))34163 60345 y FM(\000)p Fw(1)p FM(\000)p Fz(\032)p 20212 61333 16424 49 v 24141 62494 a FC([1)269 b(+)g(\()p FB(n)h FC(+)f(1\))p FB(")p FC(])31225 62142 y Fz(d=)p Fw(2)36768 61611 y FB(:)12323 b FC(\(A.33\))-638 64909 y(W)-101 b(e)421 b(adv)-67 b(ance)422 b(\(H4\))g(assuming)439 b(\(A.33\))q(.)591 b(By)421 b(the)h(same)f(reason)h(as)g(in)g([17)o(,)k (Section)c(3.4],)j(it)d(su\016ces)f(to)h(consider)-2520 66415 y(only)404 b FB(n")337 b(>)f(T)573 b FC(for)404 b(some)g(large)g FB(T)168 b FC(.)-638 67920 y(First)404 b(w)-34 b(e)405 b(claim)e(that)i(the)g(\014rst)g(inequalit)-34 b(y)404 b(in)g(\(5.13\))g(with)h FB(m)337 b FC(=)g FB(n)p FC(,)403 b(i.e.,)19220 71256 y Fy(j)p FB(f)20150 71438 y Fz(n)20777 71256 y FC(\()p FB(k)38 b FC(\))p Fy(j)337 b(\024)24474 70436 y FB(K)25503 70618 y Fw(4)26232 70436 y FB(a)p FC(\()p FB(k)38 b FC(\))28484 69997 y FM(\000)p Fw(2)p FM(\000)p Fz(\032)p 24474 70978 6482 49 v 24813 72139 a FC(\(1)270 b(+)f FB(n")p FC(\))29136 71787 y Fz(d=)p Fw(2)49428 71256 y FC(\(A.34\))24548 75763 y(47)p eop end %%Page: 48 48 TeXDict begin 48 47 bop -2520 -1931 a FC(holds)454 b(not)h(only)e(for)g FB(k)592 b(=)-741 b Fy(2)419 b(A)10802 -1749 y Fz(n)11882 -1931 y FC(but)454 b(also)g(for)f FB(k)k Fy(2)419 b(A)21821 -1749 y Fz(n)22749 -1931 y Fy(n)303 b(A)24626 -1749 y Fz(n)p Fw(+1)26454 -1931 y FC(:)637 b(\(A.34\))454 b(holds)g(for)g(all) e FB(k)592 b(=)-741 b Fy(2)419 b(A)41423 -1749 y Fz(n)p Fw(+1)43252 -1931 y FC(.)686 b(T)-101 b(o)454 b(pro)-34 b(v)g(e)454 b(\(A.34\))-2520 -256 y(when)405 b FB(k)375 b Fy(2)337 b(A)3764 -74 y Fz(n)4659 -256 y Fy(n)270 b(A)6503 -74 y Fz(n)p Fw(+1)8735 -256 y FC(\(so)405 b(that)g FB(\015)14149 -853 y Fw(log)14 b([2+\()p Fz(n)p Fw(+1\))p Fz(")p Fw(])p 14149 -534 5880 49 v 15018 178 a(1+\()p Fz(n)p Fw(+1\))p Fz(")20498 -256 y FB(<)337 b(a)p FC(\()p FB(k)38 b FC(\))337 b Fy(\024)g FB(\015)26475 -853 y Fw(log)14 b(\(2+)p Fz(n")p Fw(\))p 26474 -534 4155 49 v 27448 162 a(1+)p Fz(n")30762 -256 y FC(\),)404 b(w)-34 b(e)405 b(use)f(Lemma)g(5.2)f(to)i(obtain) 8569 2705 y Fy(j)p FB(f)9499 2887 y Fz(n)10125 2705 y FC(\()p FB(k)38 b FC(\))p Fy(j)338 b(\024)e FB(ce)14779 2204 y FM(\000)p Fz(n"q)189 b(a)p Fw(\()p Fz(k)24 b Fw(\))19262 2705 y Fy(\024)337 b FB(c)202 b FC([1)268 b(+)i(\()p FB(n)f FC(+)g(1\))p FB(")p FC(])28352 2061 y FM(\000)30124 1650 y Fp(n"q)24 b(\015)p 29217 1859 3595 40 v 29217 2408 a Fm(1+\()p Fp(n)p Fm(+1\))p Fp(")33336 2705 y Fy(\024)337 b FB(c)202 b FC(\(1)269 b(+)g FB(n")p FC(\))39665 2204 y 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Fr(X)15925 10841 y Fz(m)p Fw(=2)19802 8575 y FB(")20367 8135 y Fw(2)20893 8575 y FB(C)21644 8757 y Fz(g)22179 8575 y FB(\014)p 18295 9123 V 18295 10285 a FC(\(1)270 b(+)f FB(m")p FC(\))22954 9933 y Fz(d=)p Fw(2)28229 7887 y Fz(n)27639 8250 y Fr(X)24770 10935 y Fz(l)11 b Fw(=)p Fz(\026)p FM(_)p Fw(\()p Fz(n)p Fw(+1)p FM(\000)p Fz(m)p Fw(\)+1)32460 9402 y Fy(j)p FB(f)33390 9599 y Fz(l)g FM(\000)p Fw(1)34939 9402 y FC(\()p FB(k)38 b FC(\))270 b Fy(\000)g FB(f)38626 9599 y Fz(l)38973 9402 y FC(\()p FB(k)38 b FC(\))p Fy(j)p FB(:)8170 b FC(\(A.40\))-2520 13479 y(By)404 b(\(H4\))h(and)g(Lemma)e (4.6,)5445 17282 y Fy(j)p FB(W)7095 16782 y Fz(>)6927 17602 y(n)p Fw(+1)8755 17282 y FC(\()p FB(k)38 b FC(\))p Fy(j)337 b(\024)12450 15767 y Fz(n)p Fw(+1)12461 16130 y Fr(X)12320 18721 y Fz(m)p Fw(=2)16196 16455 y FB(")16761 16015 y Fw(2)17287 16455 y FB(C)18038 16637 y Fz(g)18573 16455 y FB(\014)p 14689 17003 V 14689 18165 a FC(\(1)270 b(+)f FB(m")p FC(\))19348 17813 y Fz(d=)p Fw(2)23059 15767 y Fz(n)22469 16130 y Fr(X)21164 18766 y Fz(l)11 b Fw(=)p Fz(n)p Fw(+2)p FM(\000)p Fz(m)25859 16462 y FB("K)27453 16644 y Fw(5)28182 16462 y FB(a)p FC(\()p FB(k)38 b FC(\))30434 16022 y FM(\000)p Fw(1)p FM(\000)p Fz(\032)p 25859 17003 7047 49 v 26652 18165 a FC(\(1)270 b(+)f FB(l)24 b(")p FC(\))30633 17813 y Fz(d=)p Fw(2)33376 17282 y Fy(\024)34788 16455 y FB(c"C)36629 16637 y Fz(g)37163 16455 y FB(K)38192 16637 y Fw(5)38719 16455 y FB(\014)265 b(a)p FC(\()p FB(k)38 b FC(\))41922 16015 y FM(\000)p Fw(1)p FM(\000)p Fz(\032)p 34788 17003 9607 49 v 35309 18165 a FC([1)269 b(+)g(\()p FB(n)g FC(+)g(1\))p FB(")p FC(])42392 17813 y Fz(d=)p Fw(2)44527 17282 y FB(:)4564 b FC(\(A.41\))-2520 21431 y(F)-101 b(or)404 b FB(W)968 20864 y FM(\024)800 21778 y Fz(n)p Fw(+1)2629 21431 y FC(\()p FB(k)38 b FC(\),)404 b(w)-34 b(e)405 b(apply)f(\(H3\))h(to)g (obtain)5812 24557 y Fy(j)p FB(f)6742 24754 y Fz(l)11 b FM(\000)p Fw(1)8291 24557 y FC(\()p FB(k)38 b FC(\))270 b Fy(\000)f FB(f)11977 24754 y Fz(l)12324 24557 y FC(\()p FB(k)38 b FC(\))p Fy(j)338 b FC(=)e Fy(j)p FB(f)16819 24754 y Fz(l)17166 24557 y FC(\()p FB(k)38 b FC(\))p Fy(j)19451 23163 y Fr(\014)19451 23890 y(\014)19451 24617 y(\014)19855 23575 y(\002)20360 24557 y FC(1)270 b Fy(\000)f FB("v)23601 24754 y Fz(l)24149 24557 y FB(a)p FC(\()p FB(k)38 b FC(\))270 b(+)g FB(")p FC([)p FB(r)29333 24754 y Fz(l)29679 24557 y FC(\()p FB(k)38 b FC(\))270 b Fy(\000)g FB(r)33320 24754 y Fz(l)33666 24557 y FC(\(0\)])g(+)f FB(")202 b(r)38347 24754 y Fz(l)38694 24557 y FC(\(0\))40242 23575 y Fr(\003)40748 23877 y FM(\000)p Fw(1)42275 24557 y Fy(\000)269 b FC(1)44093 23163 y Fr(\014)44093 23890 y(\014)44093 24617 y(\014)14610 27545 y Fy(\024)336 b FB(c"e)17543 27045 y FM(\000)p Fz(l)11 b("q)189 b(a)p Fw(\()p Fz(k)24 b Fw(\))21410 25836 y Fr(\024)22050 27545 y FB(a)p FC(\()p FB(k)38 b FC(\))270 b(+)28462 26725 y FB(K)29491 26907 y Fw(3)30018 26725 y FB(\014)p 25917 27266 7396 49 v 25917 28428 a FC(\(1)g(+)f FB(l)24 b(")p FC(\))29898 28076 y Fw(\()p Fz(d)p FM(\000)p Fw(2\))p Fz(=)p Fw(2)33445 25836 y Fr(\025)34085 27545 y FB(;)15006 b FC(\(A.42\))-2520 30932 y(with)362 b FB(q)380 b FC(=)336 b(1)182 b Fy(\000)g FB(O)34 b FC(\()p FB(\014)64 b FC(\).)523 b(W)-101 b(e)360 b(\014x)g(a)h(small)f FB(r)370 b(>)336 b FC(0)361 b(and)g(separate)25857 30023 y Fr(P)27137 31291 y Fz(m)28385 30932 y FC(in)f(\(A.39\))h(in)-34 b(to)35930 30023 y Fr(P)37210 31291 y Fz(m>r)26 b Fw(\()p Fz(n)p Fw(+1\))42145 30932 y FC(and)44458 30023 y Fr(P)45738 31291 y Fz(m)p FM(\024)p Fz(r)g Fw(\()p Fz(n)p Fw(+1\))50673 30932 y FC(\(the)-2520 32438 y(latter)404 b(range)g(ma)-34 b(y)405 b(b)34 b(e)403 b(empt)-34 b(y)405 b(dep)34 b(ending)405 b(on)g FB(\026)p FC(\).)539 b(The)404 b(con)-34 b(tribution)406 b(due)f(to)34820 31529 y Fr(P)36100 32796 y Fz(m>r)26 b Fw(\()p Fz(n)p Fw(+1\))41079 32438 y FC(is)404 b(b)34 b(ounded)405 b(b)-34 b(y)8499 35691 y FB(c")9589 35251 y Fw(2)10115 35691 y FB(C)10866 35873 y Fz(g)11401 35691 y FB(\014)p 6042 36239 8565 49 v 6042 37400 a FC([1)269 b(+)h(\()p FB(n)f FC(+)g(1\))p FB(")p FC(])13126 37048 y Fz(d=)p Fw(2)16916 35002 y Fz(n)p Fw(+1)16927 35366 y Fr(X)14942 38050 y Fz(m)p Fw(=)p Fz(r)26 b Fw(\()p Fz(n)p Fw(+1\)+1)20866 36517 y FB(e)21430 36017 y FM(\000)p Fw(\()p Fz(n)p Fw(+2)p FM(\000)p Fz(m)p Fw(\))p Fz("q)189 b(a)p Fw(\()p Fz(k)24 b Fw(\))29277 36517 y FC(\(1)270 b(+)f FB(K)32865 36699 y Fw(3)33391 36517 y FB(\014)64 b FC(\))15076 40673 y Fy(\024)16489 39846 y FB(c"C)18330 40028 y Fz(g)18864 39846 y FB(\014)g FC(\(1)270 b(+)f FB(K)23202 40028 y Fw(3)23728 39846 y FB(\014)64 b FC(\))202 b FB(a)p FC(\()p FB(k)38 b FC(\))27403 39406 y FM(\000)p Fw(1)p 16489 40394 12173 49 v 18293 41556 a FC([1)269 b(+)g(\()p FB(n)g FC(+)g(1\))p FB(")p FC(])25376 41204 y Fz(d=)p Fw(2)29131 40673 y Fy(\024)30543 39846 y FB(c"C)32384 40028 y Fz(g)32919 39846 y FB(\014)64 b FC(\(1)269 b(+)g FB(K)37256 40028 y Fw(3)37783 39846 y FB(\014)64 b FC(\))202 b FB(a)p FC(\()p FB(k)38 b FC(\))41458 39406 y FM(\000)p Fw(1)p FM(\000)p 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FM(\000)p Fz(\032)p Fw(\))31777 51476 y Fy(\024)33194 50656 y FB(c)202 b(a)p FC(\()p FB(k)38 b FC(\))36173 50216 y FM(\000)p Fw(2)p FM(\000)p Fz(\032)p 33189 51197 5462 49 v 33189 52359 a FC(\(1)270 b(+)f FB(l)24 b(")p FC(\))37170 52007 y Fz(d=)p Fw(2)-2520 55512 y FC(where)335 b FB(q)1500 55072 y FM(0)2147 55512 y FC(=)3560 54915 y Fw(\(1)p FM(\000)p Fz(r)26 b Fw(\)\()p Fz(n)p Fw(+1\))p Fz("q)p 3560 55233 5777 49 v 4377 55946 a Fw(1+\()p Fz(n)p Fw(+1\))p Fz(")9803 55512 y FC(w)-34 b(as)335 b(tak)-34 b(en)335 b(to)g(b)34 b(e)334 b(close)f(to)i(1)f(suc)-34 b(h)335 b(that)p FB(q)28938 55072 y FM(0)29251 55512 y FB(\015)403 b(>)31694 55035 y Fz(d)p FM(\000)p Fw(4)p 31694 55233 1687 49 v 32302 55930 a(2)33643 55512 y Fy(\000)130 b FB(\032)334 b FC(holds.)516 b(Therefore,)347 b(b)-34 b(y)335 b(Lemma)f(4.6,)-2520 57187 y(the)405 b(con)-34 b(tribution)406 b(from)9339 56278 y Fr(P)10618 57545 y Fz(m)p FM(\024)p Fz(r)26 b Fw(\()p Fz(n)p Fw(+1\))15598 57187 y FC(is)404 b(b)34 b(ounded)405 b(b)-34 b(y)2679 59845 y Fz(r)26 b Fw(\()p Fz(n)p Fw(+1\))3282 60322 y Fr(X)1839 62913 y Fz(m)p Fw(=)p Fz(n)p Fw(+2)p FM(\000)p Fz(\026)8316 60647 y FB(")8881 60207 y Fw(2)9407 60647 y FB(C)10158 60829 y Fz(g)10693 60647 y FB(\014)p 6809 61195 6141 49 v 6809 62356 a FC(\(1)270 b(+)f FB(m")p FC(\))11468 62004 y Fz(d=)p Fw(2)15182 59894 y Fz(\026)14589 60322 y Fr(X)13284 62957 y Fz(l)11 b Fw(=)p Fz(n)p Fw(+2)p FM(\000)p Fz(m)17980 60654 y FB(c")p FC(\(1)269 b(+)h FB(K)22658 60836 y Fw(3)23184 60654 y FB(\014)64 b FC(\))202 b FB(a)p FC(\()p FB(k)38 b FC(\))26859 60214 y FM(\000)p Fw(1)p FM(\000)p Fz(\032)p 17980 61195 11351 49 v 20925 62356 a FC(\(1)269 b(+)h FB(l)24 b(")p FC(\))24906 62004 y Fz(d=)p Fw(2)29800 61474 y Fy(\024)31213 60647 y FB(c"C)33054 60829 y Fz(g)33588 60647 y FB(\014)64 b FC(\(1)270 b(+)f FB(K)37926 60829 y Fw(3)38452 60647 y FB(\014)64 b FC(\))202 b FB(a)p FC(\()p FB(k)38 b FC(\))42127 60207 y FM(\000)p Fw(1)p FM(\000)p Fz(\032)p 31213 61195 13387 49 v 33624 62356 a FC([1)269 b(+)g(\()p FB(n)g FC(+)g(1\))p FB(")p FC(])40707 62004 y Fz(d=)p Fw(2)44732 61474 y FB(:)4359 b FC(\(A.44\))-638 65408 y(By)420 b(\(A.41\))405 b(and)g(\(A.43\))q ({\(A.44\),)f(w)-34 b(e)405 b(obtain)g(the)f(inequalit)-34 b(y)421 b(\(A.33\))q(.)p 51949 65408 45 819 v 51994 64634 728 45 v 51994 65408 V 52721 65408 45 819 v -2520 68648 a FD(A.2)1496 b(Adv)-83 b(ancemen)-42 b(t)500 b(b)42 b(elo)-42 b(w)499 b(and)g(at)f(four)h(dimensions)-2520 70937 y FC(The)372 b(pro)34 b(ofs)371 b(of)h(Lemmas)f(5.1{5.4)f(and)i (the)g(adv)-67 b(ancemen)-34 b(t)371 b(of)h(the)f(induction)i(h)-34 b(yp)34 b(otheses)372 b(for)f FB(d)337 b Fy(\024)f FC(4)371 b(remain)g(almost)-2520 72442 y(unc)-34 b(hanged,)382 b(except)373 b(for)h(the)g(factors)g FB(\014)16081 72630 y Fz(T)17188 72442 y FC(and)19687 72122 y(^)19514 72442 y FB(\014)20264 72002 y FM(0)20200 72801 y Fz(T)21307 72442 y FC(in)g(\(4.4\){\(4.5\))h(and)f(\(5.25\))q({\(5.27\).)529 b(W)-101 b(e)373 b(simply)g(replace)g FB(\014)437 b FC(b)-34 b(y)51582 72122 y(^)51409 72442 y FB(\014)52159 72002 y FM(0)52095 72801 y Fz(T)24548 75763 y FC(49)p eop end %%Page: 50 50 TeXDict begin 50 49 bop -2520 -1931 a FC(in)420 b(the)g(pro)34 b(ofs)420 b(of)g(Lemmas)f(5.1{5.3,)j(and)f(b)-34 b(y)420 b FB(\014)20112 -1743 y Fz(T)21265 -1931 y FC(in)f(the)h(pro)34 b(of)420 b(of)g(Lemma)f(5.4)g(\(w)-34 b(e)420 b(also)g(replace)e FB(d=)p FC(2)i(b)-34 b(y)420 b(2)279 b(+)h FB(!)463 b FC(in)-2520 -425 y(the)379 b(pro)34 b(of)378 b(of)g(Lemma)f(5.1\).)530 b(In)378 b(the)g(adv)-67 b(ancemen)-34 b(t)379 b(of)f(the)g(\014rst)h (inequalit)-34 b(y)377 b(in)h(\(5.26\))q(,)383 b(w)-34 b(e)378 b(use)g(\(A.7\))g(together)g(with)-2520 1080 y(\(A.4\))405 b(and)g(\(A.6\))g(with)f FB(\014)468 b FC(replaced)404 b(b)-34 b(y)404 b FB(\014)17303 1268 y Fz(T)18037 1080 y FC(.)538 b(Since)404 b FB(n")336 b Fy(\024)h FB(T)371 b FC(log)218 b FB(T)168 b FC(,)405 b(w)-34 b(e)404 b(obtain)537 4729 y Fy(j)p FB(\025)1581 4911 y Fz(n)p Fw(+1)3679 4729 y Fy(\000)269 b 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b(similar)g(argumen)-34 b(t)326 b(applies)f(to)h(the)g(adv)-67 b(ancemen)-34 b(t)326 b(of)f(the)h(inequalities)f(in)g(\(5.13\))q(.)512 b(Ho)-34 b(w)g(ev)g(er,)341 b(since)325 b FB(\032)336 b(<)h Fy(\000)50673 27024 y Fw(4)p FM(\000)p Fz(d)p 50673 27222 1687 49 v 51280 27919 a Fw(2)52492 27501 y FC(,)-2520 29006 y(w)-34 b(e)503 b(cannot)g(use)f(the)h(trivial)e(inequalit)-34 b(y)502 b FB(a)p FC(\()p FB(k)38 b FC(\))501 b Fy(\024)f FC(2)i(to)g(obtain,)528 b(for)502 b(example,)526 b(the)502 b(lo)-34 b(w)g(er-dimensional)503 b(v)-34 b(ersion)502 b(of)-2520 30512 y(\(A.43\))q(.)538 b(T)-101 b(o)405 b(o)-34 b(v)g(ercome)403 b(this)i(di\016cult)-34 b(y)-101 b(,)404 b(w)-34 b(e)405 b(use)f(the)h(factor)f FB(\014)26604 30700 y Fz(T)27742 30512 y FC(in)g(the)g(b)34 b(ound)406 b(on)e FB(g)37242 30694 y Fz(m)38130 30512 y FC(\()p FB(k)38 b FC(\))405 b(to)f(obtain)6326 34288 y FB(\014)7012 34476 y Fz(T)8082 34288 y Fy(\024)9494 33468 y FB(\014)10180 33650 y Fw(1)10705 33468 y FB(T)11581 33028 y FM(\000)p Fz(bd)p 9494 34009 3762 49 v 9980 35119 a FB(a)p FC(\()p FB(k)38 b FC(\))12232 34769 y Fz(\032)13389 32578 y Fr(\024)15729 33468 y FC(1)270 b(+)f(\()p FB(n)g FC(+)g(1\))p FB(")p 14161 34009 9547 49 v 14161 35119 a(\015)g FC(log)17 b([2)269 b(+)g(\()p FB(n)g FC(+)h(1\))p FB(")p FC(])23841 32578 y Fr(\025)24480 32881 y FM(\000)p Fz(\032)26086 34288 y Fy(\024)27498 33456 y FB(c)28196 33136 y FC(^)28023 33456 y FB(\014)28773 33016 y FM(0)28709 33815 y Fz(T)29442 33456 y FB(T)30318 32978 y FM(\000)p Fz(!)32 b Fw(+)32532 32604 y Fp(d)p Fv(\000)p Fm(4)p 32532 32776 1473 40 v 33066 33325 a(2)34137 32978 y FM(\000)p Fz(\032)p 27498 34009 7909 49 v 30058 35119 a FB(a)p FC(\()p FB(k)38 b FC(\))32310 34769 y Fz(\032)35876 34288 y Fy(\024)37288 33456 y FB(c)37986 33136 y FC(^)37813 33456 y FB(\014)38563 33016 y FM(0)38499 33815 y Fz(T)39232 33456 y FB(T)40108 33016 y FM(\000)p Fw(\()p Fz(!)32 b FM(\000)p Fz(\015)52 b Fw(\))p 37288 34009 6226 49 v 39006 35119 a FB(a)p FC(\()p FB(k)38 b FC(\))41258 34769 y Fz(\032)43646 34288 y FB(;)-2520 37860 y FC(where)516 b(w)-34 b(e)516 b(used)h FB(\026)6603 37420 y FM(0)7436 37860 y FB(<)523 b(\013)348 b Fy(\000)c FB(!)560 b FC(and)15227 37382 y Fz(d)p FM(\000)p Fw(4)p 15227 37580 1687 49 v 15835 38278 a(2)17390 37860 y Fy(\000)344 b FB(\032)522 b(<)h(\015)589 b(<)523 b(!)43 b FC(.)874 b(This)517 b(completes)e(the)h(adv)-67 b(ancemen)-34 b(t)517 b(of)f(the)g(induction)-2520 39365 y(h)-34 b(yp)34 b(otheses)405 b(for)g FB(d)336 b Fy(\024)h FC(4.)p 51949 39365 45 819 v 51994 38591 728 45 v 51994 39365 V 52721 39365 45 819 v 24548 75763 a(50)p eop end %%Trailer userdict /end-hook known{end-hook}if %%EOF ---------------0308150729482--