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cleartomark %%EndFont %%BeginFont: TeX-cmex7 %!PS-AdobeFont-1.0: TeX-cmex7 001.001 % Filtered by type1fix.pl 0.05 %%EndComments 13 dict dup begin /FontInfo 16 dict dup begin /Copyright (see\040copyright\040of\040original\040TeX\040font) def /FamilyName (TeX\040cmex7) def /FullName (TeX\040cmex7\040Regular) def /ItalicAngle 0 def /Notice (converted\040after\040April\0402001) def /UnderlinePosition -100 def /UnderlineThickness 50 def /Weight (Regular) def /isFixedPitch false def /version (001.001) def end readonly def /FontName /TeX-cmex7 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 12 /ogonek put dup 16 /quotedblleft put dup 17 /quotedblright put dup 80 /P put dup 101 /e put dup 102 /f put readonly def /FontBBox {-14 -2954 1627 771} readonly def currentdict end currentfile eexec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cleartomark %%EndFont %%BeginFont: CMMI12 %!PS-AdobeFont-1.1: CMMI12 1.100 %%CreationDate: 1996 Jul 27 08:57:55 % Copyright (C) 1997 American Mathematical Society. All Rights Reserved. 11 dict begin /FontInfo 7 dict dup begin /version (1.100) readonly def /Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def /FullName (CMMI12) readonly def /FamilyName (Computer Modern) readonly def /Weight (Medium) readonly def /ItalicAngle -14.04 def /isFixedPitch false def end readonly def /FontName /CMMI12 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 14 /delta put dup 34 /epsilon put readonly def /FontBBox{-30 -250 1026 750}readonly 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 readonly def /FontBBox{-4 -948 1329 786}readonly def currentdict end currentfile eexec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cleartomark %%EndFont %%BeginFont: CMSY9 %!PS-AdobeFont-1.1: CMSY9 1.0 %%CreationDate: 1991 Aug 15 07:22:27 % Copyright (C) 1997 American Mathematical Society. All Rights Reserved. 11 dict begin /FontInfo 7 dict dup begin /version (1.0) readonly def /Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def /FullName (CMSY9) readonly def /FamilyName (Computer Modern) readonly def /Weight (Medium) readonly def /ItalicAngle -14.035 def /isFixedPitch false def end readonly def /FontName /CMSY9 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 0 /minus put dup 1 /periodcentered put dup 24 /similar put dup 25 /approxequal put dup 32 /arrowleft put dup 47 /proportional put dup 106 /bar put readonly def /FontBBox{-30 -958 1146 777}readonly def currentdict end currentfile eexec D9D66F633B846A97B686A97E45A3D0AA052F09F9C8ADE9D907C058B87E9B6964 7D53359E51216774A4EAA1E2B58EC3176BD1184A633B951372B4198D4E8C5EF4 A213ACB58AA0A658908035BF2ED8531779838A960DFE2B27EA49C37156989C85 E21B3ABF72E39A89232CD9F4237FC80C9E64E8425AA3BEF7DED60B122A52922A 221A37D9A807DD01161779DDE7D31FF2B87F97C73D63EECDDA4C49501773468A 27D1663E0B62F461F6E40A5D6676D0037D33F24E2FAC2B0009AD3C8350CDF8CC 65BCA87979C36D14CB552E9A985E48BE4E88ECA16DF418749AF04FDD2B0E1380 D281BB2476BB45FF30946B247DFD7F57305FA87E50CA338121C71CDFDF927A9C 77FF14CB4A1D6D80356FB1171ED38C37702350497B44E42CE31DB2F493807DAA 15B887C671199A54C4C1294BC520F5538C15556BC43C9F62342B121C6DCD6C5F 491DA47FF360201EE21C08A781ED0589A6DF91B99FE118B9B29E4F068672E52F 1A06C514D91C4C937D4E642503392B1CD1B4BC9CF0AF85959A1BCE4E139BB4EA 7049BF7D21ACA6B9F82DD7460CF829652FB82029F93487489F828149F9FCF693 DD2E7241D43631E78179299E32A2C347247F1440F6C3A57ECAEB0082297DF57A CFA50AB335FEF49FEC0503D21E97CE8A715937513596FCB0907198203954087E 2AD0C7EDA1BF2A0D843B58DF67F7BF6F1ACC677809CC39B5C786C9FCA5C22927 7CB4C6CA6C7A6E1B99F3F24774B30BC9E0579BD83C5FE660132D02673BBC8AEA F7D39CFC6B4B8226A917D41BEADD7C39CBD4314D33FF0C097F772B777E6DBF3F 55F339AA48E9F8B8C2EF25154DD39FF9C46F834B8D2AEDB26E88290ACB4CDB00 8937A72B0997C84DAD45B6D13FAC0FC24F151828EF12841197D7AB68C5D1E6EE 4D10282F6B89FDDD32C6F98C145A431E16F34E4EF05B2017B200D2A33CAE224E 0D3DE189E41555CF07814F7A0F8CD50943A28CA2F9C486F94856CF74FACB2CD9 DAFCB4A505C7EE674421F38CD5284E0378B4AA184235D88ADFF61CB249DAE202 CE0DEEB9CFEF6606AB29BAA3478E8969D576C2332109F8BAB96092D8A9312717 1E3C6B8266307F7BA6B66435FF47ACF8AFB5BE7E292980E3C1BDF27AEC980458 EDB05D9D4523A9347FABC0351FD7104C92DB243B48C662FE6E4E38BB47EDC4D4 C1A60C342AB56E7B080456CD24A6607AB9B962FE42CCAE125C2578CF38625048 43F828FA876AAB4187BE056024E293667A2D0204F376D266F3D57F35DC217703 284B4BC182671847CAB0F5FE15656FEDED1722FC55C2159E6CA22FADCE977558 393F46A406D87BF4BE25420623714D3078BF44139509C7ABBA0DD606BE5654AC 666CC8A1393582BFF6F85DB3DCD7C77FEA52E40005C1C5B4D9926EADFFCB9329 EF24CDF4B8F17973F0A5C397D44B0E85EE5CE75347498E5F33F5263F90F7D6C1 E69A27E0CF0A71179E3FC18C89C4445A4029AA04EFE52F3101B98E49736B0067 575D3A7A641D136C5100EA4E1E17F6A6D67493DC677721D99CD7373D5DC41E56 47399D99B778ADC390F7F0B72330750A45C29FEA50950C7AAAD262AB40257931 19DC36E309A978C062F622754941C15D26648E9BAD5A8B99FC7F905D1192BDF4 004A438B61877D3E2759C715B8F50CCC21D12198E86127983147B3CAE12AB84C F50E33583CDB03526559EC164018B904AC9DA8EAE6B65D87FE85EECE822DAD5B 1DA17B497CE788646F43E206A21AFCAE073797297D161C812B538D1519477D13 5FDCF5481CE248FF1F0D85159CDF839527EBC1E8F9E19892EF70DCDA5055406F C735698D5C69EEBFFB0835C8855198276EFCB16A02C9F04D69A2591624526A74 9B3B2EB3A0E75A284395BA822C2B7B0BA77553F8FBFB797178E5FB2453B1064B C1E8EBE8D46BCB3272E30ED3B7EB0D303361B1321523F3F2BB59E73E20C7A60A 76AEB194D98E9BF086DEFA0AB5554E3F70F3498AF54480DC145BE85AE8 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 cleartomark %%EndFont %%BeginFont: TeX-cmex9 %!PS-AdobeFont-1.0: TeX-cmex9 001.001 % Filtered by type1fix.pl 0.05 %%EndComments 13 dict dup begin /FontInfo 16 dict dup begin /Copyright (see\040copyright\040of\040original\040TeX\040font) def /FamilyName (TeX\040cmex9) def /FullName (TeX\040cmex9\040Regular) def /ItalicAngle 0 def /Notice (converted\040after\040April\0402001) def /UnderlinePosition -100 def /UnderlineThickness 50 def /Weight (Regular) def /isFixedPitch false def /version (001.001) def end readonly def /FontName /TeX-cmex9 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 16 /quotedblleft put dup 17 /quotedblright put dup 18 /quotedblbase put dup 19 /guillemotleft put dup 82 /R put dup 88 /X put dup 90 /Z put dup 101 /e put dup 102 /f put dup 104 /h put dup 105 /i put readonly def /FontBBox {-26 -2961 1503 773} readonly 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 22 /mu put dup 25 /pi put dup 26 /rho put dup 39 /phi1 put dup 59 /comma put dup 65 /A put dup 70 /F put dup 73 /I put dup 75 /K put dup 76 /L put dup 80 /P put dup 82 /R put dup 83 /S put dup 87 /W put dup 88 /X put dup 105 /i put dup 107 /k put dup 116 /t put readonly def /FontBBox{11 -250 1241 750}readonly def currentdict end currentfile eexec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All Rights Reserved) readonly def /FullName (CMR6) readonly def /FamilyName (Computer Modern) readonly def /Weight (Medium) readonly def /ItalicAngle 0 def /isFixedPitch false def end readonly def /FontName /CMR6 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 40 /parenleft put dup 41 /parenright put dup 43 /plus put dup 49 /one put dup 50 /two put dup 58 /colon put dup 61 /equal put readonly def /FontBBox{-20 -250 1193 750}readonly 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 14 /delta put dup 22 /mu put dup 25 /pi put dup 26 /rho put dup 27 /sigma put dup 28 /tau put dup 34 /epsilon put dup 39 /phi1 put dup 58 /period put dup 59 /comma put dup 75 /K put dup 76 /L put dup 78 /N put dup 86 /V put dup 87 /W put dup 88 /X put dup 100 /d put dup 105 /i put dup 112 /p put dup 113 /q put dup 116 /t put dup 120 /x put dup 121 /y put readonly def /FontBBox{-29 -250 1075 750}readonly def currentdict end currentfile eexec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DDD33A20D0BBA721F37D2AB528E8F54F55A1E7B57FDFE971378E790C8B1B159E 0D393E6F711CB12674F621A32311A3F465247C990050095B3EAF8F3A90B76215 5BDFA354AFAD4FAFACF13F2E8BEAB72E4EAFD3426667FD71C4E54AB39D86B65F 5EB949F957D55EEE98F37DCF86F19DF32DA7C8FA3E02847E72F4B46666162956 A93557C0EC073F2C66A03EB8B24EEB7242128D58A9D64743D6D9C6AC659B57AB 22FD398319600A07F01C77475DFA5CE785920C166931E554E479BD0763FDDCD5 0081F5C22C9F8316611A1DACF3F44977F77DF3CFCAC3FBBD9FFE8B4C131FD6C4 E5899F9B92C3D019A465E5AFB5158F9CD580ED4C2FB65A97A3C93A378F53F7D8 4BE91EA78A3E7875720822FB67C5E7AB31B627579D9F2EE42ABCB5135511351E 3353D705E7C9B59C83944FAFC27DE7FE0D9FF0DB499F6E57CBB3940F237EF2FA AA41090FE147346A6B3796EC45D5F5EA98A1DB53C61C55905C79B4E16E96324C 9677FFE93656A175135492EE3A7080EB4E0CB16425BA42A4A92DC35F90E0A806 FC5C6DE1AC8726B1C7FD29A11E74DC18B10A261AEED469826E3FF4D89B58CA96 A2084B0498A5252062224252B2031F0620527A93EE54731290733A9469383953 A7CAFAF92DD98822633FB36429A61D8A5E5F537FD3B4DBA1D62DCC9F69AF8023 B11FFD1CE5D3FAA80068BFFEBE74FDE10BBEF19D9E642D443B374D8F99365DAB 43CF134263AA1E872B2873EB93FC43B77EF87D2918B1911AA3573EB829D0C0F8 7B7F8A25EC16DCEA7916F925864C7457256A495B1408DBA295461356A1497718 EB5E2CBB08780E85581B5AA40947BE6B04DA47085C9FB45DB9E4864A158B313F 7CED3054728FE6F4F31158B0F859485EBFA9D93689DEECB0F565624EF50C53F1 96BE28071CBB448A8F0481EBB65B8D82E73B9F85E966D3542209D3CEC7920D55 A1BA5DD2F8D12CF801E9BF7754B200B61B54C89F2E582C8B0CAB0533472ED78A CD76EBB91211ABC5AA19383336DF2790631B6B86D8CD8E1EBA81400F3F55BAA0 062F997EDED163E77B9725F733E6B61873363F2C1707E3B9949F2A9D83AC1AEE 1F27F242DF0F8E1409923F8198D1A177D9930684A9BFA87A15B3929F7AFB8630 87E9A8DB7780A0D8B0B59B774D1952C529D5F49FE6D1A61A166EEB436B3E69A5 37373C 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 cleartomark %%EndFont %%BeginFont: CMSY5 %!PS-AdobeFont-1.1: CMSY5 1.0 %%CreationDate: 1991 Aug 15 07:21:16 % Copyright (C) 1997 American Mathematical Society. All Rights Reserved. 11 dict begin /FontInfo 7 dict dup begin /version (1.0) readonly def /Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def /FullName (CMSY5) readonly def /FamilyName (Computer Modern) readonly def /Weight (Medium) readonly def /ItalicAngle -14.035 def /isFixedPitch false def end readonly def /FontName /CMSY5 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 0 /minus put readonly def /FontBBox{21 -944 1448 791}readonly def currentdict end currentfile eexec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cleartomark %%EndFont %%BeginFont: CMMI5 %!PS-AdobeFont-1.1: CMMI5 1.100 %%CreationDate: 1996 Aug 02 08:21:10 % Copyright (C) 1997 American Mathematical Society. All Rights Reserved. 11 dict begin /FontInfo 7 dict dup begin /version (1.100) readonly def /Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def /FullName (CMMI5) readonly def /FamilyName (Computer Modern) readonly def /Weight (Medium) readonly def /ItalicAngle -14.04 def /isFixedPitch false def end readonly def /FontName /CMMI5 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 59 /comma put dup 78 /N put dup 105 /i put dup 106 /j put dup 107 /k put dup 116 /t put readonly def /FontBBox{37 -250 1349 750}readonly def currentdict end currentfile eexec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cleartomark %%EndFont %%BeginFont: CMR5 %!PS-AdobeFont-1.1: CMR5 1.00B %%CreationDate: 1992 Feb 19 19:55:02 % Copyright (C) 1997 American Mathematical Society. All Rights Reserved. 11 dict begin /FontInfo 7 dict dup begin /version (1.00B) readonly def /Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def /FullName (CMR5) readonly def /FamilyName (Computer Modern) readonly def /Weight (Medium) readonly def /ItalicAngle 0 def /isFixedPitch false def end readonly def /FontName /CMR5 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 40 /parenleft put dup 41 /parenright put dup 43 /plus put dup 49 /one put dup 50 /two put dup 51 /three put dup 58 /colon put dup 61 /equal put readonly def /FontBBox{-341 -250 1304 965}readonly def currentdict end currentfile eexec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cleartomark %%EndFont %%BeginFont: CMSS10 %!PS-AdobeFont-1.1: CMSS10 1.0 %%CreationDate: 1991 Aug 20 17:33:34 % 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 (CMSS10) readonly def /FamilyName (Computer Modern) readonly def /Weight (Medium) readonly def /ItalicAngle 0 def /isFixedPitch false def end readonly def /FontName /CMSS10 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 44 /comma put dup 46 /period put dup 70 /F put dup 86 /V put dup 97 /a put dup 99 /c put dup 100 /d put dup 101 /e 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 readonly def /FontBBox{-61 -250 999 759}readonly 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 49 /one put dup 50 /two put dup 51 /three put dup 52 /four put dup 58 /colon put dup 65 /A put dup 67 /C put dup 68 /D put dup 70 /F put dup 71 /G put dup 73 /I put dup 76 /L put dup 77 /M put dup 78 /N put dup 80 /P put dup 82 /R put dup 83 /S put dup 84 /T put dup 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 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 123 /endash put readonly def /FontBBox{-301 -250 1164 946}readonly def currentdict end currentfile eexec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0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 cleartomark %%EndFont %%BeginFont: CMTI10 %!PS-AdobeFont-1.1: CMTI10 1.00B %%CreationDate: 1992 Feb 19 19:56:16 % Copyright (C) 1997 American Mathematical Society. All Rights Reserved. 11 dict begin /FontInfo 7 dict dup begin /version (1.00B) readonly def /Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def /FullName (CMTI10) readonly def /FamilyName (Computer Modern) readonly def /Weight (Medium) readonly def /ItalicAngle -14.04 def /isFixedPitch false def end readonly def /FontName /CMTI10 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 12 /fi put dup 34 /quotedblright put dup 39 /quoteright put dup 40 /parenleft put dup 41 /parenright put dup 44 /comma put dup 45 /hyphen put dup 46 /period put dup 48 /zero put dup 49 /one put dup 50 /two put dup 51 /three put dup 52 /four put dup 54 /six put dup 56 /eight put dup 57 /nine put dup 58 /colon put dup 65 /A put dup 66 /B put dup 67 /C put dup 69 /E put dup 70 /F put dup 71 /G put dup 73 /I put dup 74 /J put dup 75 /K put dup 76 /L put dup 77 /M put dup 78 /N put dup 80 /P put dup 82 /R put dup 83 /S put dup 84 /T put dup 85 /U put dup 86 /V put dup 87 /W put dup 91 /bracketleft put dup 92 /quotedblleft put dup 93 /bracketright put dup 96 /quoteleft 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 /y put dup 122 /z put readonly def /FontBBox{-163 -250 1146 969}readonly def currentdict end currentfile eexec D9D66F633B846A97B686A97E45A3D0AA0529731C99A784CCBE85B4993B2EEBDE 3B12D472B7CF54651EF21185116A69AB1096ED4BAD2F646635E019B6417CC77B 532F85D811C70D1429A19A5307EF63EB5C5E02C89FC6C20F6D9D89E7D91FE470 B72BEFDA23F5DF76BE05AF4CE93137A219ED8A04A9D7D6FDF37E6B7FCDE0D90B 986423E5960A5D9FBB4C956556E8DF90CBFAEC476FA36FD9A5C8175C9AF513FE D919C2DDD26BDC0D99398B9F4D03D5993DFC0930297866E1CD0A319B6B1FD958 9E3948FFB0B4E70F212EC976D65099D84E0D37A7A771C3101D6AD26A0513378F 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%%BeginFont: CMEX10 %!PS-AdobeFont-1.1: CMEX10 1.00 %%CreationDate: 1992 Jul 23 21:22:48 % Copyright (C) 1997 American Mathematical Society. All Rights Reserved. 11 dict begin /FontInfo 7 dict dup begin /version (1.00) readonly def /Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def /FullName (CMEX10) readonly def /FamilyName (Computer Modern) readonly def /Weight (Medium) readonly def /ItalicAngle 0 def /isFixedPitch false def end readonly def /FontName /CMEX10 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 0 /parenleftbig put dup 1 /parenrightbig put dup 2 /bracketleftbig put dup 3 /bracketrightbig put dup 8 /braceleftbig put dup 9 /bracerightbig put dup 16 /parenleftBig put dup 17 /parenrightBig put dup 18 /parenleftbigg put dup 19 /parenrightbigg put dup 20 /bracketleftbigg put dup 21 /bracketrightbigg put dup 32 /parenleftBigg put dup 33 /parenrightBigg put dup 80 /summationtext put dup 82 /integraltext put dup 88 /summationdisplay put dup 89 /productdisplay put dup 90 /integraldisplay put dup 98 /hatwide put dup 101 /tildewide put dup 102 /tildewider put dup 104 /bracketleftBig put dup 105 /bracketrightBig put readonly def /FontBBox{-24 -2960 1454 772}readonly 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 (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 20 /caron put dup 40 /parenleft put dup 41 /parenright put dup 43 /plus put dup 49 /one put dup 50 /two put dup 51 /three put dup 58 /colon put dup 61 /equal put dup 73 /I put dup 82 /R put dup 83 /S put readonly def /FontBBox{-27 -250 1122 750}readonly def currentdict end currentfile eexec D9D66F633B846A97B686A97E45A3D0AA052A014267B7904EB3C0D3BD0B83D891 016CA6CA4B712ADEB258FAAB9A130EE605E61F77FC1B738ABC7C51CD46EF8171 9098D5FEE67660E69A7AB91B58F29A4D79E57022F783EB0FBBB6D4F4EC35014F D2DECBA99459A4C59DF0C6EBA150284454E707DC2100C15B76B4C19B84363758 469A6C558785B226332152109871A9883487DD7710949204DDCF837E6A8708B8 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cleartomark %%EndFont %%BeginFont: CMSY7 %!PS-AdobeFont-1.1: CMSY7 1.0 %%CreationDate: 1991 Aug 15 07:21:52 % Copyright (C) 1997 American Mathematical Society. All Rights Reserved. 11 dict begin /FontInfo 7 dict dup begin /version (1.0) readonly def /Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def /FullName (CMSY7) readonly def /FamilyName (Computer Modern) readonly def /Weight (Medium) readonly def /ItalicAngle -14.035 def /isFixedPitch false def end readonly def /FontName /CMSY7 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 0 /minus put dup 1 /periodcentered put dup 10 /circlemultiply put dup 21 /greaterequal put dup 33 /arrowright put dup 48 /prime put dup 49 /infinity put dup 106 /bar put readonly def /FontBBox{-15 -951 1252 782}readonly 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 11 /alpha put dup 22 /mu put dup 25 /pi put dup 26 /rho put dup 58 /period put dup 59 /comma put dup 65 /A put dup 67 /C put dup 70 /F put dup 73 /I put dup 75 /K put dup 77 /M put dup 78 /N put dup 80 /P put dup 82 /R put dup 83 /S put dup 88 /X put dup 97 /a put dup 100 /d put dup 105 /i put dup 106 /j put dup 107 /k put dup 110 /n put dup 111 /o put dup 112 /p put dup 113 /q put dup 115 /s put dup 116 /t put dup 119 /w put dup 120 /x put readonly def /FontBBox{0 -250 1171 750}readonly def currentdict end currentfile eexec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%%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 10 /circlemultiply put dup 14 /openbullet put dup 20 /lessequal put dup 21 /greaterequal put dup 24 /similar put dup 32 /arrowleft put dup 33 /arrowright put dup 47 /proportional put dup 49 /infinity put dup 50 /element put dup 56 /universal put dup 69 /E put dup 70 /F put dup 78 /N put dup 88 /X put dup 102 /braceleft put dup 103 /braceright put dup 106 /bar put dup 112 /radical put readonly def /FontBBox{-29 -960 1116 775}readonly 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 14 /delta put dup 15 /epsilon1 put dup 22 /mu put dup 25 /pi put dup 26 /rho put dup 27 /sigma put dup 28 /tau put dup 32 /psi put dup 34 /epsilon put dup 39 /phi1 put dup 58 /period put dup 59 /comma put dup 60 /less put dup 61 /slash put dup 62 /greater put dup 69 /E put dup 75 /K put dup 76 /L put dup 78 /N put dup 81 /Q put dup 83 /S put dup 86 /V put dup 87 /W put dup 88 /X put dup 89 /Y put dup 100 /d put dup 102 /f put dup 103 /g put dup 105 /i put dup 112 /p put dup 113 /q put dup 116 /t put dup 119 /w put dup 120 /x put dup 121 /y put dup 122 /z put readonly def /FontBBox{-32 -250 1048 750}readonly def currentdict end currentfile eexec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Aug 20 16:34:54 % Copyright (C) 1997 American Mathematical Society. All Rights Reserved. 11 dict begin /FontInfo 7 dict dup begin /version (1.0) readonly def /Notice (Copyright (C) 1997 American Mathematical Society. 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0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 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 11 /ff put dup 12 /fi put dup 13 /fl put dup 14 /ffi put dup 20 /caron put dup 22 /macron put dup 34 /quotedblright put dup 38 /ampersand put dup 39 /quoteright put dup 40 /parenleft put dup 41 /parenright put dup 43 /plus put dup 44 /comma put dup 45 /hyphen put dup 46 /period put dup 47 /slash put dup 48 /zero put dup 49 /one put dup 50 /two put dup 51 /three put dup 52 /four put dup 53 /five put dup 54 /six put dup 55 /seven put dup 56 /eight put dup 57 /nine put dup 58 /colon put dup 59 /semicolon put dup 61 /equal put dup 65 /A put dup 66 /B put dup 67 /C put dup 68 /D put 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 90 /Z put dup 91 /bracketleft put dup 92 /quotedblleft put dup 93 /bracketright put dup 94 /circumflex put dup 96 /quoteleft 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 readonly def /FontBBox{-251 -250 1009 969}readonly def currentdict end currentfile eexec D9D66F633B846A97B686A97E45A3D0AA052A014267B7904EB3C0D3BD0B83D891 016CA6CA4B712ADEB258FAAB9A130EE605E61F77FC1B738ABC7C51CD46EF8171 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0000000000000000000000000000000000000000000000000000000000000000 cleartomark %%EndFont %%BeginFont: CMR17 %!PS-AdobeFont-1.1: CMR17 1.0 %%CreationDate: 1991 Aug 20 16:38:24 % Copyright (C) 1997 American Mathematical Society. All Rights Reserved. 11 dict begin /FontInfo 7 dict dup begin /version (1.0) readonly def /Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def /FullName (CMR17) readonly def /FamilyName (Computer Modern) readonly def /Weight (Medium) readonly def /ItalicAngle 0 def /isFixedPitch false def end readonly def /FontName /CMR17 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 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 55 /seven put dup 57 /nine put dup 58 /colon put dup 65 /A put dup 66 /B put dup 67 /C put dup 68 /D put dup 70 /F put dup 71 /G put dup 73 /I put dup 74 /J put dup 75 /K put dup 77 /M put dup 80 /P put dup 82 /R put dup 83 /S put dup 84 /T put dup 85 /U put dup 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 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 120 /x put dup 121 /y put readonly def /FontBBox{-33 -250 945 749}readonly def currentdict end currentfile eexec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0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 cleartomark %%EndFont %%BeginFont: CMTI9 %!PS-AdobeFont-1.1: CMTI9 1.0 %%CreationDate: 1991 Aug 18 21:08:07 % Copyright (C) 1997 American Mathematical Society. All Rights Reserved. 11 dict begin /FontInfo 7 dict dup begin /version (1.0) readonly def /Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def /FullName (CMTI9) readonly def /FamilyName (Computer Modern) readonly def /Weight (Medium) readonly def /ItalicAngle -14.04 def /isFixedPitch false def end readonly def /FontName /CMTI9 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 75 /K put dup 97 /a put dup 100 /d put dup 101 /e put dup 105 /i put dup 108 /l put dup 109 /m put dup 110 /n put dup 111 /o put dup 114 /r put dup 115 /s put dup 117 /u put dup 119 /w put dup 121 /y put readonly def /FontBBox{-35 -250 1148 750}readonly def currentdict end currentfile eexec D9D66F633B846A97B686A97E45A3D0AA0529731C99A784CCBE85B4993B2EEBDE 3B12D472B7CF54651EF21185116A69AB1096ED4BAD2F646635E019B6417CC77B 532F85D811C70D1429A19A5307EF63EB5C5E02C89FC6C20F6D9D89E7D91FE470 B72BEFDA23F5DF76BE05AF4CE93137A219ED8A04A9D7D6FDF37E6B7FCDE0D90B 986423E5960A5D9FBB4C956556E8DF90CBFAEC476FA36FD9A5C8175C9AF513FE 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0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 cleartomark %%EndFont %%BeginFont: CMBX9 %!PS-AdobeFont-1.1: CMBX9 1.0 %%CreationDate: 1991 Aug 20 16:36:25 % Copyright (C) 1997 American Mathematical Society. All Rights Reserved. 11 dict begin /FontInfo 7 dict dup begin /version (1.0) readonly def /Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def /FullName (CMBX9) readonly def /FamilyName (Computer Modern) readonly def /Weight (Bold) readonly def /ItalicAngle 0 def /isFixedPitch false def end readonly def /FontName /CMBX9 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 46 /period put dup 49 /one put dup 50 /two put dup 70 /F put dup 83 /S put dup 97 /a put dup 100 /d put dup 101 /e put dup 102 /f put dup 103 /g put dup 105 /i put dup 109 /m put dup 110 /n put dup 111 /o put dup 114 /r put dup 117 /u put dup 121 /y put readonly def /FontBBox{-58 -250 1195 750}readonly def currentdict end currentfile eexec D9D66F633B846A97B686A97E45A3D0AA052A014267B7904EB3C0D3BD0B83D891 016CA6CA4B712ADEB258FAAB9A130EE605E61F77FC1B738ABC7C51CD46EF8171 9098D5FEE67660E69A7AB91B58F29A4D79E57022F783EB0FBBB6D4F4EC35014F D2DECBA99459A4C59DF0C6EBA150284454E707DC2100C15B76B4C19B84363758 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0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 cleartomark %%EndFont %%BeginFont: CMR9 %!PS-AdobeFont-1.1: CMR9 1.0 %%CreationDate: 1991 Aug 20 16:39:59 % Copyright (C) 1997 American Mathematical Society. All Rights Reserved. 11 dict begin /FontInfo 7 dict dup begin /version (1.0) readonly def /Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def /FullName (CMR9) readonly def /FamilyName (Computer Modern) readonly def /Weight (Medium) readonly def /ItalicAngle 0 def /isFixedPitch false def end readonly def /FontName /CMR9 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 11 /ff put dup 12 /fi put dup 22 /macron put dup 39 /quoteright put dup 40 /parenleft put dup 41 /parenright put dup 43 /plus put dup 44 /comma put dup 45 /hyphen put dup 46 /period put dup 47 /slash put dup 48 /zero put dup 49 /one put dup 50 /two put dup 51 /three put dup 52 /four put dup 53 /five put dup 54 /six put dup 55 /seven put dup 56 /eight put dup 57 /nine put dup 58 /colon put dup 61 /equal put dup 65 /A put dup 66 /B put dup 67 /C put dup 70 /F put dup 71 /G put dup 72 /H put dup 73 /I put dup 75 /K put dup 77 /M put dup 79 /O put dup 80 /P put dup 82 /R put dup 83 /S put dup 84 /T put dup 86 /V put dup 87 /W put dup 91 /bracketleft put dup 93 /bracketright put dup 94 /circumflex put dup 96 /quoteleft put dup 97 /a put dup 98 /b put dup 99 /c put dup 100 /d put dup 101 /e put dup 102 /f put dup 103 /g put dup 104 /h put dup 105 /i put dup 108 /l put dup 109 /m put dup 110 /n put dup 111 /o put dup 112 /p put dup 113 /q put dup 114 /r put dup 115 /s put dup 116 /t put dup 117 /u put dup 118 /v put dup 119 /w put dup 120 /x put dup 121 /y put dup 122 /z put dup 123 /endash put dup 126 /tilde put readonly def /FontBBox{-39 -250 1036 750}readonly def currentdict end currentfile eexec D9D66F633B846A97B686A97E45A3D0AA052A014267B7904EB3C0D3BD0B83D891 016CA6CA4B712ADEB258FAAB9A130EE605E61F77FC1B738ABC7C51CD46EF8171 9098D5FEE67660E69A7AB91B58F29A4D79E57022F783EB0FBBB6D4F4EC35014F D2DECBA99459A4C59DF0C6EBA150284454E707DC2100C15B76B4C19B84363758 469A6C558785B226332152109871A9883487DD7710949204DDCF837E6A8708B8 2BDBF16FBC7512FAA308A093FE5CF7158F1163BC1F3352E22A1452E73FECA8A4 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0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 cleartomark %%EndFont %%BeginFont: CMR12 %!PS-AdobeFont-1.1: CMR12 1.0 %%CreationDate: 1991 Aug 20 16:38:05 % Copyright (C) 1997 American Mathematical Society. All Rights Reserved. 11 dict begin /FontInfo 7 dict dup begin /version (1.0) readonly def /Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def /FullName (CMR12) readonly def /FamilyName (Computer Modern) readonly def /Weight (Medium) readonly def /ItalicAngle 0 def /isFixedPitch false def end readonly def /FontName /CMR12 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 38 /ampersand put dup 44 /comma put dup 46 /period put dup 48 /zero put dup 49 /one put dup 50 /two put dup 55 /seven put dup 65 /A put dup 66 /B put dup 67 /C put dup 68 /D put dup 74 /J put dup 75 /K put dup 77 /M put dup 83 /S put dup 85 /U 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 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 121 /y put readonly def /FontBBox{-34 -251 988 750}readonly def currentdict end currentfile eexec 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b(propagated)i(forw)-31 b(ard)411 b(according)h(to)f(the)g(prop)31 b(osal;)411 b(the)g(functions)g(b)31 b(eing)411 b(in)-31 b(tegrated)6606 76807 y(corresp)31 b(ond)396 b(to)h(propagating)i(the)e(system)g(forw)-31 b(ard)398 b(to)f(time)h Fx(t)e Fz(using)h(all)h(remaining)h(observ)-61 b(a-)6606 78600 y(tions)364 b(and)g(then)g(estimating)j(the)d(in)-31 b(tegral)365 b(of)g Fx(')27294 78766 y Fv(t)27683 78600 y Fz(.)f(Th)-31 b(us,)365 b(for)e(ergo)31 b(dic)365 b(systems)e(in)h (whic)-31 b(h)365 b(some)p eop end %%Page: 9 9 TeXDict begin 9 8 bop 28260 -2214 a FD(2.)554 b(Sequen)-28 b(tial)343 b(Mon)-28 b(te)342 b(Carlo)f(Filtering)3042 b(9)6606 221 y currentpoint currentpoint translate 0.51675 0.51675 scale neg exch neg exch translate 6606 221 a 6606 221 a gsave currentpoint currentpoint translate 270 neg rotate neg exch neg exch translate 6606 221 a 6606 221 a /PSfrag where{pop(e)[[0(Bl)1 0]](d)[[1(Bl)1 0]]( 0.05)[[28()1.5 0.0]]( 0.1)[[13()1.5 0.0]]( 0.15)[[4()1.5 0.0]]( 0.2)[[14()1.5 0.0]]( 0.25)[[6()1.5 0.0]]( 0.3)[[15()1.5 0.0]]( 0.35)[[8()1.5 0.0]]( 0.4)[[16()1.5 0.0]]( 0.45)[[10()1.5 0.0]]( 0.5)[[17()1.5 0.0]]( 0)[[27()1.5 0.0]]( 0.6)[[18()1.5 0.0]]( 0.7)[[19()1.5 0.0]]( 0.8)[[20()1.5 0.0]]( 0.9)[[21()1.5 0.0]]( 1)[[22()1.5 0.0]](-0.2)[[23()1.5 0.0]](-0.15)[[24()1.5 0.0]](-0.1)[[25()1.5 0.0]](-0.05)[[26()1.5 0.0]]22 0 -1/Begin PSfrag}{userdict /PSfrag{pop}put}ifelse 6606 221 a @beginspecial 50 @llx 50 @lly 554 @urx 770 @ury 5040 @rwi @setspecial %%BeginDocument: fig.eps %!PS-Adobe-2.0 %%Title: fig.eps %%Creator: gnuplot 4.0 patchlevel 0 %%CreationDate: Tue Jun 5 16:57:18 2007 %%DocumentFonts: (atend) %%BoundingBox: 50 50 554 770 %%Orientation: Landscape %%Pages: (atend) %%EndComments /gnudict 256 dict def gnudict begin /Color true def /Solid false def /gnulinewidth 3.500 def /userlinewidth gnulinewidth def /vshift -40 def /dl {10.0 mul} def /hpt_ 31.5 def /vpt_ 31.5 def /hpt hpt_ def /vpt vpt_ def /Rounded false def /M {moveto} bind def /L {lineto} bind def /R {rmoveto} bind def /V {rlineto} bind def /N {newpath moveto} bind def /C {setrgbcolor} bind def /f {rlineto fill} bind def /vpt2 vpt 2 mul def /hpt2 hpt 2 mul def /Lshow { currentpoint stroke M 0 vshift R show } def /Rshow { currentpoint stroke M dup stringwidth pop neg vshift R show } def /Cshow { currentpoint stroke M dup stringwidth pop -2 div vshift R show } def /UP { dup vpt_ mul /vpt exch def hpt_ mul /hpt exch def /hpt2 hpt 2 mul def /vpt2 vpt 2 mul def } def /DL { Color {setrgbcolor Solid {pop []} if 0 setdash } {pop pop pop 0 setgray Solid {pop []} if 0 setdash} ifelse } def /BL { stroke userlinewidth 2 mul setlinewidth Rounded { 1 setlinejoin 1 setlinecap } if } def /AL { stroke userlinewidth 2 div setlinewidth Rounded { 1 setlinejoin 1 setlinecap } if } def /UL { dup gnulinewidth mul /userlinewidth exch def dup 1 lt {pop 1} if 10 mul /udl exch def } def /PL { stroke userlinewidth setlinewidth Rounded { 1 setlinejoin 1 setlinecap } if } def /LTw { PL [] 1 setgray } def /LTb { BL [] 0 0 0 DL } def /LTa { AL [1 udl mul 2 udl mul] 0 setdash 0 0 0 setrgbcolor } def /LT0 { PL [] 1 0 0 DL } def /LT1 { PL [4 dl 2 dl] 0 1 0 DL } def /LT2 { PL [2 dl 3 dl] 0 0 1 DL } def /LT3 { PL [1 dl 1.5 dl] 1 0 1 DL } def /LT4 { PL [5 dl 2 dl 1 dl 2 dl] 0 1 1 DL } def /LT5 { PL [4 dl 3 dl 1 dl 3 dl] 1 1 0 DL } def /LT6 { PL [2 dl 2 dl 2 dl 4 dl] 0 0 0 DL } def /LT7 { PL [2 dl 2 dl 2 dl 2 dl 2 dl 4 dl] 1 0.3 0 DL } def /LT8 { PL [2 dl 2 dl 2 dl 2 dl 2 dl 2 dl 2 dl 4 dl] 0.5 0.5 0.5 DL } def /Pnt { stroke [] 0 setdash gsave 1 setlinecap M 0 0 V stroke grestore } def /Dia { stroke [] 0 setdash 2 copy vpt add M hpt neg vpt neg V hpt vpt neg V hpt vpt V hpt neg vpt V closepath stroke Pnt } def /Pls { stroke [] 0 setdash vpt sub M 0 vpt2 V currentpoint stroke M hpt neg vpt neg R hpt2 0 V stroke } def /Box { stroke [] 0 setdash 2 copy exch hpt sub exch vpt add M 0 vpt2 neg V hpt2 0 V 0 vpt2 V hpt2 neg 0 V closepath stroke Pnt } def /Crs { stroke [] 0 setdash exch hpt sub exch vpt add M hpt2 vpt2 neg V currentpoint stroke M hpt2 neg 0 R hpt2 vpt2 V stroke } def /TriU { stroke [] 0 setdash 2 copy vpt 1.12 mul add M hpt neg vpt -1.62 mul V hpt 2 mul 0 V hpt neg vpt 1.62 mul V closepath stroke Pnt } def /Star { 2 copy Pls Crs } def /BoxF { stroke [] 0 setdash exch hpt sub exch vpt add M 0 vpt2 neg V hpt2 0 V 0 vpt2 V hpt2 neg 0 V closepath fill } def /TriUF { stroke [] 0 setdash vpt 1.12 mul add M hpt neg vpt -1.62 mul V hpt 2 mul 0 V hpt neg vpt 1.62 mul V closepath fill } def /TriD { stroke [] 0 setdash 2 copy vpt 1.12 mul sub M hpt neg vpt 1.62 mul V hpt 2 mul 0 V hpt neg vpt -1.62 mul V closepath stroke Pnt } def /TriDF { stroke [] 0 setdash vpt 1.12 mul sub M hpt neg vpt 1.62 mul V hpt 2 mul 0 V hpt neg vpt -1.62 mul V closepath fill} def /DiaF { stroke [] 0 setdash vpt add M hpt neg vpt neg V hpt vpt neg V hpt vpt V hpt neg vpt V closepath fill } def /Pent { stroke [] 0 setdash 2 copy gsave translate 0 hpt M 4 {72 rotate 0 hpt L} repeat closepath stroke grestore Pnt } def /PentF { stroke [] 0 setdash gsave translate 0 hpt M 4 {72 rotate 0 hpt L} repeat closepath fill grestore } def /Circle { stroke [] 0 setdash 2 copy hpt 0 360 arc stroke Pnt } def /CircleF { stroke [] 0 setdash hpt 0 360 arc fill } def /C0 { BL [] 0 setdash 2 copy moveto vpt 90 450 arc } bind def /C1 { BL [] 0 setdash 2 copy moveto 2 copy vpt 0 90 arc closepath fill vpt 0 360 arc closepath } bind def /C2 { BL [] 0 setdash 2 copy moveto 2 copy vpt 90 180 arc closepath fill vpt 0 360 arc closepath } bind def /C3 { BL [] 0 setdash 2 copy moveto 2 copy vpt 0 180 arc closepath fill vpt 0 360 arc closepath } bind def /C4 { BL [] 0 setdash 2 copy moveto 2 copy vpt 180 270 arc closepath fill vpt 0 360 arc closepath } bind def /C5 { BL [] 0 setdash 2 copy moveto 2 copy vpt 0 90 arc 2 copy moveto 2 copy vpt 180 270 arc closepath fill vpt 0 360 arc } bind def /C6 { BL [] 0 setdash 2 copy moveto 2 copy vpt 90 270 arc closepath fill vpt 0 360 arc closepath } bind def /C7 { BL [] 0 setdash 2 copy moveto 2 copy vpt 0 270 arc closepath fill vpt 0 360 arc closepath } bind def /C8 { BL [] 0 setdash 2 copy moveto 2 copy vpt 270 360 arc closepath fill vpt 0 360 arc closepath } bind def /C9 { BL [] 0 setdash 2 copy moveto 2 copy vpt 270 450 arc closepath fill vpt 0 360 arc closepath } bind def /C10 { BL [] 0 setdash 2 copy 2 copy moveto vpt 270 360 arc closepath fill 2 copy moveto 2 copy vpt 90 180 arc closepath fill vpt 0 360 arc closepath } bind def /C11 { BL [] 0 setdash 2 copy moveto 2 copy vpt 0 180 arc closepath fill 2 copy moveto 2 copy vpt 270 360 arc closepath fill vpt 0 360 arc closepath } bind def /C12 { BL [] 0 setdash 2 copy moveto 2 copy vpt 180 360 arc closepath fill vpt 0 360 arc closepath } bind def /C13 { BL [] 0 setdash 2 copy moveto 2 copy vpt 0 90 arc closepath fill 2 copy moveto 2 copy vpt 180 360 arc closepath fill vpt 0 360 arc closepath } bind def /C14 { BL [] 0 setdash 2 copy moveto 2 copy vpt 90 360 arc closepath fill vpt 0 360 arc } bind def /C15 { BL [] 0 setdash 2 copy vpt 0 360 arc closepath fill vpt 0 360 arc closepath } bind def /Rec { newpath 4 2 roll moveto 1 index 0 rlineto 0 exch rlineto neg 0 rlineto closepath } bind def /Square { dup Rec } bind def /Bsquare { vpt sub exch vpt sub exch vpt2 Square } bind def /S0 { BL [] 0 setdash 2 copy moveto 0 vpt rlineto BL Bsquare } bind def /S1 { BL [] 0 setdash 2 copy vpt Square fill Bsquare } bind def /S2 { BL [] 0 setdash 2 copy exch vpt sub exch vpt Square fill Bsquare } bind def /S3 { BL [] 0 setdash 2 copy exch vpt sub exch vpt2 vpt Rec fill Bsquare } bind def /S4 { BL [] 0 setdash 2 copy exch vpt sub exch vpt sub vpt Square fill Bsquare } bind def /S5 { BL [] 0 setdash 2 copy 2 copy vpt Square fill exch vpt sub exch vpt sub vpt Square fill Bsquare } bind def /S6 { BL [] 0 setdash 2 copy exch vpt sub exch vpt sub vpt vpt2 Rec fill Bsquare } bind def /S7 { BL [] 0 setdash 2 copy exch vpt sub exch vpt sub vpt vpt2 Rec fill 2 copy vpt Square fill Bsquare } bind def /S8 { BL [] 0 setdash 2 copy vpt sub vpt Square fill Bsquare } bind def /S9 { BL [] 0 setdash 2 copy vpt sub vpt vpt2 Rec fill Bsquare } bind def /S10 { BL [] 0 setdash 2 copy vpt sub vpt Square fill 2 copy exch vpt sub exch vpt Square fill Bsquare } bind def /S11 { BL [] 0 setdash 2 copy vpt sub vpt Square fill 2 copy exch vpt sub exch vpt2 vpt Rec fill Bsquare } bind def /S12 { BL [] 0 setdash 2 copy exch vpt sub exch vpt sub vpt2 vpt Rec fill Bsquare } bind def /S13 { BL [] 0 setdash 2 copy exch vpt sub exch vpt sub vpt2 vpt Rec fill 2 copy vpt Square fill Bsquare } bind def /S14 { BL [] 0 setdash 2 copy exch vpt sub exch vpt sub vpt2 vpt Rec fill 2 copy exch vpt sub exch vpt Square fill Bsquare } bind def /S15 { BL [] 0 setdash 2 copy Bsquare fill Bsquare } bind def /D0 { gsave translate 45 rotate 0 0 S0 stroke grestore } bind def /D1 { gsave translate 45 rotate 0 0 S1 stroke grestore } bind def /D2 { gsave translate 45 rotate 0 0 S2 stroke grestore } bind def /D3 { gsave translate 45 rotate 0 0 S3 stroke grestore } bind def /D4 { gsave translate 45 rotate 0 0 S4 stroke grestore } bind def /D5 { gsave translate 45 rotate 0 0 S5 stroke grestore } bind def /D6 { gsave translate 45 rotate 0 0 S6 stroke grestore } bind def /D7 { gsave translate 45 rotate 0 0 S7 stroke grestore } bind def /D8 { gsave translate 45 rotate 0 0 S8 stroke grestore } bind def /D9 { gsave translate 45 rotate 0 0 S9 stroke grestore } bind def /D10 { gsave translate 45 rotate 0 0 S10 stroke grestore } bind def /D11 { gsave translate 45 rotate 0 0 S11 stroke grestore } bind def /D12 { gsave translate 45 rotate 0 0 S12 stroke grestore } bind def /D13 { gsave translate 45 rotate 0 0 S13 stroke grestore } bind def /D14 { gsave translate 45 rotate 0 0 S14 stroke grestore } bind def /D15 { gsave translate 45 rotate 0 0 S15 stroke grestore } bind def /DiaE { stroke [] 0 setdash vpt add M hpt neg vpt neg V hpt vpt neg V hpt vpt V hpt neg vpt V closepath stroke } def /BoxE { stroke [] 0 setdash exch hpt sub exch vpt add M 0 vpt2 neg V hpt2 0 V 0 vpt2 V hpt2 neg 0 V closepath stroke } def /TriUE { stroke [] 0 setdash vpt 1.12 mul add M hpt neg vpt -1.62 mul V hpt 2 mul 0 V hpt neg vpt 1.62 mul V closepath stroke } def /TriDE { stroke [] 0 setdash vpt 1.12 mul sub M hpt neg vpt 1.62 mul V hpt 2 mul 0 V hpt neg vpt -1.62 mul V closepath stroke } def /PentE { stroke [] 0 setdash gsave translate 0 hpt M 4 {72 rotate 0 hpt L} repeat closepath stroke grestore } def /CircE { stroke [] 0 setdash hpt 0 360 arc stroke } def /Opaque { gsave closepath 1 setgray fill grestore 0 setgray closepath } def /DiaW { stroke [] 0 setdash vpt add M hpt neg vpt neg V hpt vpt neg V hpt vpt V hpt neg vpt V Opaque stroke } def /BoxW { stroke [] 0 setdash exch hpt sub exch vpt add M 0 vpt2 neg V hpt2 0 V 0 vpt2 V hpt2 neg 0 V Opaque stroke } def /TriUW { stroke [] 0 setdash vpt 1.12 mul add M hpt neg vpt -1.62 mul V hpt 2 mul 0 V hpt neg vpt 1.62 mul V Opaque stroke } def /TriDW { stroke [] 0 setdash vpt 1.12 mul sub M hpt neg vpt 1.62 mul V hpt 2 mul 0 V hpt neg vpt -1.62 mul V Opaque stroke } def /PentW { stroke [] 0 setdash gsave translate 0 hpt M 4 {72 rotate 0 hpt L} repeat Opaque stroke grestore } def /CircW { stroke [] 0 setdash hpt 0 360 arc Opaque stroke } def /BoxFill { gsave Rec 1 setgray fill grestore } def /BoxColFill { gsave Rec /Fillden exch def currentrgbcolor /ColB exch def /ColG exch def /ColR exch def /ColR ColR Fillden mul Fillden sub 1 add def /ColG ColG Fillden mul Fillden sub 1 add def /ColB ColB Fillden mul Fillden sub 1 add def ColR ColG ColB setrgbcolor fill grestore } def % % PostScript Level 1 Pattern Fill routine % Usage: x y w h s a XX PatternFill % x,y = lower left corner of box to be filled % w,h = width and height of box % a = angle in degrees between lines and x-axis % XX = 0/1 for no/yes cross-hatch % /PatternFill { gsave /PFa [ 9 2 roll ] def PFa 0 get PFa 2 get 2 div add PFa 1 get PFa 3 get 2 div add translate PFa 2 get -2 div PFa 3 get -2 div PFa 2 get PFa 3 get Rec gsave 1 setgray fill grestore clip currentlinewidth 0.5 mul setlinewidth /PFs PFa 2 get dup mul PFa 3 get dup mul add sqrt def 0 0 M PFa 5 get rotate PFs -2 div dup translate 0 1 PFs PFa 4 get div 1 add floor cvi { PFa 4 get mul 0 M 0 PFs V } for 0 PFa 6 get ne { 0 1 PFs PFa 4 get div 1 add floor cvi { PFa 4 get mul 0 2 1 roll M PFs 0 V } for } if stroke grestore } def % /Symbol-Oblique /Symbol findfont [1 0 .167 1 0 0] makefont dup length dict begin {1 index /FID eq {pop pop} {def} ifelse} forall currentdict end definefont pop /MFshow { { dup 5 get 3 ge { 5 get 3 eq {gsave} {grestore} ifelse } {dup dup 0 get findfont exch 1 get scalefont setfont [ currentpoint ] exch dup 2 get 0 exch R dup 5 get 2 ne {dup dup 6 get exch 4 get {show} {stringwidth pop 0 R} ifelse }if dup 5 get 0 eq {dup 3 get {2 get neg 0 exch R pop} {pop aload pop M} ifelse} {dup 5 get 1 eq {dup 2 get exch dup 3 get exch 6 get stringwidth pop -2 div dup 0 R} {dup 6 get stringwidth pop -2 div 0 R 6 get show 2 index {aload pop M neg 3 -1 roll neg R pop pop} {pop pop pop pop aload pop M} ifelse }ifelse }ifelse } ifelse } forall} bind def /MFwidth {0 exch {dup 3 get{dup dup 0 get findfont exch 1 get scalefont setfont 6 get stringwidth pop add} {pop} ifelse} forall} bind def /MLshow { currentpoint stroke M 0 exch R MFshow } bind def /MRshow { currentpoint stroke M exch dup MFwidth neg 3 -1 roll R MFshow } def /MCshow { currentpoint stroke M exch dup MFwidth -2 div 3 -1 roll R MFshow } def end %%EndProlog %%Page: 1 1 gnudict begin gsave 50 50 translate 0.100 0.100 scale 90 rotate 0 -5040 translate 0 setgray newpath (Helvetica) findfont 120 scalefont setfont 1.000 UL LTb 1.000 UP 1.000 UL LT0 2758 4232 M 36 21 V 1.000 UL LT0 2863 4245 M -69 8 V 1.000 UL LT0 2827 4224 M 36 21 V 1.000 UL LT0 2931 4238 M -68 7 V 1.000 UL LT0 2723 4210 M 35 22 V 1.000 UL LT0 2827 4224 M -69 8 V 1.000 UL LT0 2895 4216 M 36 22 V 1.000 UL LT0 3000 4232 M -69 6 V 1.000 UL LT0 2791 4202 M 36 22 V 1.000 UL LT0 2895 4216 M -68 8 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b(er)p eop end %%Page: 10 10 TeXDict begin 10 9 bop 28260 -2214 a FD(2.)554 b(Sequen)-28 b(tial)343 b(Mon)-28 b(te)342 b(Carlo)f(Filtering)2531 b(10)6606 221 y currentpoint currentpoint translate 0.51675 0.51675 scale neg exch neg exch translate 6606 221 a 6606 221 a gsave currentpoint currentpoint translate 270 neg rotate neg exch neg exch translate 6606 221 a 6606 221 a /PSfrag where{pop( 0.1)[[8()1.5 0.0]]( 0.15)[[1()1.5 0.0]]( 0.2)[[9()1.5 0.0]]( 0.25)[[3()1.5 0.0]]( 0.3)[[10()1.5 0.0]]( 0.35)[[5()1.5 0.0]]( 0.4)[[11()1.5 0.0]]( 0.45)[[7()1.5 0.0]]( 0.5)[[12()1.5 0.0]]( 0.6)[[13()1.5 0.0]]( 0.7)[[14()1.5 0.0]]( 0.8)[[15()1.5 0.0]]( 0.9)[[16()1.5 0.0]](Variance)[[17()1.5 0.0]](delta)[[18()1.5 0.0]](Variance Comparison at epsilon = 0.25)[[19()1.5 0.0]](SISR)[[20()1.5 0.0]](APF)[[21()1.5 0.0]](SISR Asymptotic)[[22()1.5 0.0]](APF Asymptotic)[[23()1.5 0.0]]20 0 -1/Begin PSfrag}{userdict /PSfrag{pop}put}ifelse 6606 221 a @beginspecial 50 @llx 50 @lly 554 @urx 770 @ury 5040 @rwi 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mul def } def /DL { Color {setrgbcolor Solid {pop []} if 0 setdash } {pop pop pop 0 setgray Solid {pop []} if 0 setdash} ifelse } def /BL { stroke userlinewidth 2 mul setlinewidth Rounded { 1 setlinejoin 1 setlinecap } if } def /AL { stroke userlinewidth 2 div setlinewidth Rounded { 1 setlinejoin 1 setlinecap } if } def /UL { dup gnulinewidth mul /userlinewidth exch def dup 1 lt {pop 1} if 10 mul /udl exch def } def /PL { stroke userlinewidth setlinewidth Rounded { 1 setlinejoin 1 setlinecap } if } def /LTw { PL [] 1 setgray } def /LTb { BL [] 0 0 0 DL } def /LTa { AL [1 udl mul 2 udl mul] 0 setdash 0 0 0 setrgbcolor } def /LT0 { PL [] 1 0 0 DL } def /LT1 { PL [4 dl 2 dl] 0 1 0 DL } def /LT2 { PL [2 dl 3 dl] 0 0 1 DL } def /LT3 { PL [1 dl 1.5 dl] 1 0 1 DL } def /LT4 { PL [5 dl 2 dl 1 dl 2 dl] 0 1 1 DL } def /LT5 { PL [4 dl 3 dl 1 dl 3 dl] 1 1 0 DL } def /LT6 { PL [2 dl 2 dl 2 dl 4 dl] 0 0 0 DL } def /LT7 { PL [2 dl 2 dl 2 dl 2 dl 2 dl 4 dl] 1 0.3 0 DL } def /LT8 { PL [2 dl 2 dl 2 dl 2 dl 2 dl 2 dl 2 dl 4 dl] 0.5 0.5 0.5 DL } def /Pnt { stroke [] 0 setdash gsave 1 setlinecap M 0 0 V stroke grestore } def /Dia { stroke [] 0 setdash 2 copy vpt add M hpt neg vpt neg V hpt vpt neg V hpt vpt V hpt neg vpt V closepath stroke Pnt } def /Pls { stroke [] 0 setdash vpt sub M 0 vpt2 V currentpoint stroke M hpt neg vpt neg R hpt2 0 V stroke } def /Box { stroke [] 0 setdash 2 copy exch hpt sub exch vpt add M 0 vpt2 neg V hpt2 0 V 0 vpt2 V hpt2 neg 0 V closepath stroke Pnt } def /Crs { stroke [] 0 setdash exch hpt sub exch vpt add M hpt2 vpt2 neg V currentpoint stroke M hpt2 neg 0 R hpt2 vpt2 V stroke } def /TriU { stroke [] 0 setdash 2 copy vpt 1.12 mul add M hpt neg vpt -1.62 mul V hpt 2 mul 0 V hpt neg vpt 1.62 mul V closepath stroke Pnt } def /Star { 2 copy Pls Crs } def /BoxF { stroke [] 0 setdash exch hpt sub exch vpt add M 0 vpt2 neg V hpt2 0 V 0 vpt2 V hpt2 neg 0 V closepath fill } def /TriUF { stroke [] 0 setdash vpt 1.12 mul add M hpt neg vpt -1.62 mul V hpt 2 mul 0 V hpt neg vpt 1.62 mul V closepath fill } def /TriD { stroke [] 0 setdash 2 copy vpt 1.12 mul sub M hpt neg vpt 1.62 mul V hpt 2 mul 0 V hpt neg vpt -1.62 mul V closepath stroke Pnt } def /TriDF { stroke [] 0 setdash vpt 1.12 mul sub M hpt neg vpt 1.62 mul V hpt 2 mul 0 V hpt neg vpt -1.62 mul V closepath fill} def /DiaF { stroke [] 0 setdash vpt add M hpt neg vpt neg V hpt vpt neg V hpt vpt V hpt neg vpt V closepath fill } def /Pent { stroke [] 0 setdash 2 copy gsave translate 0 hpt M 4 {72 rotate 0 hpt L} repeat closepath stroke grestore Pnt } def /PentF { stroke [] 0 setdash gsave translate 0 hpt M 4 {72 rotate 0 hpt L} repeat closepath fill grestore } def /Circle { stroke [] 0 setdash 2 copy hpt 0 360 arc stroke Pnt } def /CircleF { stroke [] 0 setdash hpt 0 360 arc fill } def /C0 { BL [] 0 setdash 2 copy moveto vpt 90 450 arc } bind def /C1 { BL [] 0 setdash 2 copy moveto 2 copy vpt 0 90 arc closepath fill vpt 0 360 arc closepath } bind def /C2 { BL [] 0 setdash 2 copy moveto 2 copy vpt 90 180 arc closepath fill vpt 0 360 arc closepath } bind def /C3 { BL [] 0 setdash 2 copy moveto 2 copy vpt 0 180 arc closepath fill vpt 0 360 arc closepath } bind def /C4 { BL [] 0 setdash 2 copy moveto 2 copy vpt 180 270 arc closepath fill vpt 0 360 arc closepath } bind def /C5 { BL [] 0 setdash 2 copy moveto 2 copy vpt 0 90 arc 2 copy moveto 2 copy vpt 180 270 arc closepath fill vpt 0 360 arc } bind def /C6 { BL [] 0 setdash 2 copy moveto 2 copy vpt 90 270 arc closepath fill vpt 0 360 arc closepath } bind def /C7 { BL [] 0 setdash 2 copy moveto 2 copy vpt 0 270 arc closepath fill vpt 0 360 arc closepath } bind def /C8 { BL [] 0 setdash 2 copy moveto 2 copy vpt 270 360 arc closepath fill vpt 0 360 arc closepath } bind def /C9 { BL [] 0 setdash 2 copy moveto 2 copy vpt 270 450 arc closepath fill vpt 0 360 arc closepath } bind def /C10 { BL [] 0 setdash 2 copy 2 copy moveto vpt 270 360 arc closepath fill 2 copy moveto 2 copy vpt 90 180 arc closepath fill vpt 0 360 arc closepath } bind def /C11 { BL [] 0 setdash 2 copy moveto 2 copy vpt 0 180 arc closepath fill 2 copy moveto 2 copy vpt 270 360 arc closepath fill vpt 0 360 arc closepath } bind def /C12 { BL [] 0 setdash 2 copy moveto 2 copy vpt 180 360 arc closepath fill vpt 0 360 arc closepath } bind def /C13 { BL [] 0 setdash 2 copy moveto 2 copy vpt 0 90 arc closepath fill 2 copy moveto 2 copy vpt 180 360 arc closepath fill vpt 0 360 arc closepath } bind def /C14 { BL [] 0 setdash 2 copy moveto 2 copy vpt 90 360 arc closepath fill vpt 0 360 arc } bind def /C15 { BL [] 0 setdash 2 copy vpt 0 360 arc closepath fill vpt 0 360 arc closepath } bind def /Rec { newpath 4 2 roll moveto 1 index 0 rlineto 0 exch rlineto neg 0 rlineto closepath } bind def /Square { dup Rec } bind def /Bsquare { vpt sub exch vpt sub exch vpt2 Square } bind def /S0 { BL [] 0 setdash 2 copy moveto 0 vpt rlineto BL Bsquare } bind def /S1 { BL [] 0 setdash 2 copy vpt Square fill Bsquare } bind def /S2 { BL [] 0 setdash 2 copy exch vpt sub exch vpt Square fill Bsquare } bind def /S3 { BL [] 0 setdash 2 copy exch vpt sub exch vpt2 vpt Rec fill Bsquare } bind def /S4 { BL [] 0 setdash 2 copy exch vpt sub exch vpt sub vpt Square fill Bsquare } bind def /S5 { BL [] 0 setdash 2 copy 2 copy vpt Square fill exch vpt sub exch vpt sub vpt Square fill Bsquare } bind def /S6 { BL [] 0 setdash 2 copy exch vpt sub exch vpt sub vpt vpt2 Rec fill Bsquare } bind def /S7 { BL [] 0 setdash 2 copy exch vpt sub exch vpt sub vpt vpt2 Rec fill 2 copy vpt Square fill Bsquare } bind def /S8 { BL [] 0 setdash 2 copy vpt sub vpt Square fill Bsquare } bind def /S9 { BL [] 0 setdash 2 copy vpt sub vpt vpt2 Rec fill Bsquare } bind def /S10 { BL [] 0 setdash 2 copy vpt sub vpt Square fill 2 copy exch vpt sub exch vpt Square fill Bsquare } bind def /S11 { BL [] 0 setdash 2 copy vpt sub vpt Square fill 2 copy exch vpt sub exch vpt2 vpt Rec fill Bsquare } bind def /S12 { BL [] 0 setdash 2 copy exch vpt sub exch vpt sub vpt2 vpt Rec fill Bsquare } bind def /S13 { BL [] 0 setdash 2 copy exch vpt sub exch vpt sub vpt2 vpt Rec fill 2 copy vpt Square fill Bsquare } bind def /S14 { BL [] 0 setdash 2 copy exch vpt sub exch vpt sub vpt2 vpt Rec fill 2 copy exch vpt sub exch vpt Square fill Bsquare } bind def /S15 { BL [] 0 setdash 2 copy Bsquare fill Bsquare } bind def /D0 { gsave translate 45 rotate 0 0 S0 stroke grestore } bind def /D1 { gsave translate 45 rotate 0 0 S1 stroke grestore } bind def /D2 { gsave translate 45 rotate 0 0 S2 stroke grestore } bind def /D3 { gsave translate 45 rotate 0 0 S3 stroke grestore } bind def /D4 { gsave translate 45 rotate 0 0 S4 stroke grestore } bind def /D5 { gsave translate 45 rotate 0 0 S5 stroke grestore } bind def /D6 { gsave translate 45 rotate 0 0 S6 stroke grestore } bind def /D7 { gsave translate 45 rotate 0 0 S7 stroke grestore } bind def /D8 { gsave translate 45 rotate 0 0 S8 stroke grestore } bind def /D9 { gsave translate 45 rotate 0 0 S9 stroke grestore } bind def /D10 { gsave translate 45 rotate 0 0 S10 stroke grestore } bind def /D11 { gsave translate 45 rotate 0 0 S11 stroke grestore } bind def /D12 { gsave translate 45 rotate 0 0 S12 stroke grestore } bind def /D13 { gsave translate 45 rotate 0 0 S13 stroke grestore } bind def /D14 { gsave translate 45 rotate 0 0 S14 stroke grestore } bind def /D15 { gsave translate 45 rotate 0 0 S15 stroke grestore } bind def /DiaE { stroke [] 0 setdash vpt add M hpt neg vpt neg V hpt vpt neg V hpt vpt V hpt neg vpt V closepath stroke } def /BoxE { stroke [] 0 setdash exch hpt sub exch vpt add M 0 vpt2 neg V hpt2 0 V 0 vpt2 V hpt2 neg 0 V closepath stroke } def /TriUE { stroke [] 0 setdash vpt 1.12 mul add M hpt neg vpt -1.62 mul V hpt 2 mul 0 V hpt neg vpt 1.62 mul V closepath stroke } def /TriDE { stroke [] 0 setdash vpt 1.12 mul sub M hpt neg vpt 1.62 mul V hpt 2 mul 0 V hpt neg vpt -1.62 mul V closepath stroke } def /PentE { stroke [] 0 setdash gsave translate 0 hpt M 4 {72 rotate 0 hpt L} repeat closepath stroke grestore } def /CircE { stroke [] 0 setdash hpt 0 360 arc stroke } def /Opaque { gsave closepath 1 setgray fill grestore 0 setgray closepath } def /DiaW { stroke [] 0 setdash vpt add M hpt neg vpt neg V hpt vpt neg V hpt vpt V hpt neg vpt V Opaque stroke } def /BoxW { stroke [] 0 setdash exch hpt sub exch vpt add M 0 vpt2 neg V hpt2 0 V 0 vpt2 V hpt2 neg 0 V Opaque stroke } def /TriUW { stroke [] 0 setdash vpt 1.12 mul add M hpt neg vpt -1.62 mul V hpt 2 mul 0 V hpt neg vpt 1.62 mul V Opaque stroke } def /TriDW { stroke [] 0 setdash vpt 1.12 mul sub M hpt neg vpt 1.62 mul V hpt 2 mul 0 V hpt neg vpt -1.62 mul V Opaque stroke } def /PentW { stroke [] 0 setdash gsave translate 0 hpt M 4 {72 rotate 0 hpt L} repeat Opaque stroke grestore } def /CircW { stroke [] 0 setdash hpt 0 360 arc Opaque stroke } def /BoxFill { gsave Rec 1 setgray fill grestore } def /BoxColFill { gsave Rec /Fillden exch def currentrgbcolor /ColB exch def /ColG exch def /ColR exch def /ColR ColR Fillden mul Fillden sub 1 add def /ColG ColG Fillden mul Fillden sub 1 add def /ColB ColB Fillden mul Fillden sub 1 add def ColR ColG ColB setrgbcolor fill grestore } def % % PostScript Level 1 Pattern Fill routine % Usage: x y w h s a XX PatternFill % x,y = lower left corner of box to be filled % w,h = width and height of box % a = angle in degrees between lines and x-axis % XX = 0/1 for no/yes cross-hatch % /PatternFill { gsave /PFa [ 9 2 roll ] def PFa 0 get PFa 2 get 2 div add PFa 1 get PFa 3 get 2 div add translate PFa 2 get -2 div PFa 3 get -2 div PFa 2 get PFa 3 get Rec gsave 1 setgray fill grestore clip currentlinewidth 0.5 mul setlinewidth /PFs PFa 2 get dup mul PFa 3 get dup mul add sqrt def 0 0 M PFa 5 get rotate PFs -2 div dup translate 0 1 PFs PFa 4 get div 1 add floor cvi { PFa 4 get mul 0 M 0 PFs V } for 0 PFa 6 get ne { 0 1 PFs PFa 4 get div 1 add floor cvi { PFa 4 get mul 0 2 1 roll M PFs 0 V } for } if stroke grestore } def % /Symbol-Oblique /Symbol findfont [1 0 .167 1 0 0] makefont dup length dict begin {1 index /FID eq {pop pop} {def} ifelse} forall currentdict end definefont pop /MFshow { { dup 5 get 3 ge { 5 get 3 eq {gsave} {grestore} ifelse } {dup dup 0 get findfont exch 1 get scalefont setfont [ currentpoint ] exch dup 2 get 0 exch R dup 5 get 2 ne {dup dup 6 get exch 4 get {show} {stringwidth pop 0 R} ifelse }if dup 5 get 0 eq {dup 3 get {2 get neg 0 exch R pop} {pop aload pop M} ifelse} {dup 5 get 1 eq {dup 2 get exch dup 3 get exch 6 get stringwidth pop -2 div dup 0 R} {dup 6 get stringwidth pop -2 div 0 R 6 get show 2 index {aload pop M neg 3 -1 roll neg R pop pop} {pop pop pop pop aload pop M} ifelse }ifelse }ifelse } ifelse } forall} bind def /MFwidth {0 exch {dup 3 get{dup dup 0 get findfont exch 1 get scalefont setfont 6 get stringwidth pop add} {pop} ifelse} forall} bind def /MLshow { currentpoint stroke M 0 exch R MFshow } bind def /MRshow { currentpoint stroke M exch dup MFwidth neg 3 -1 roll R MFshow } def /MCshow { currentpoint stroke M exch dup MFwidth -2 div 3 -1 roll R MFshow } def end %%EndProlog %%Page: 1 1 gnudict begin gsave 50 50 translate 0.100 0.100 scale 90 rotate 0 -5040 translate 0 setgray newpath (Helvetica) findfont 140 scalefont setfont 1.000 UL LTb 798 420 M 63 0 V 6101 0 R -63 0 V stroke 714 420 M [ [(Helvetica) 140.0 0.0 true true 0 ( 0.1)] ] -46.7 MRshow 1.000 UL LTb 798 1020 M 63 0 V 6101 0 R -63 0 V stroke 714 1020 M [ [(Helvetica) 140.0 0.0 true true 0 ( 0.15)] ] -46.7 MRshow 1.000 UL LTb 798 1620 M 63 0 V 6101 0 R -63 0 V stroke 714 1620 M [ [(Helvetica) 140.0 0.0 true true 0 ( 0.2)] ] -46.7 MRshow 1.000 UL LTb 798 2220 M 63 0 V 6101 0 R -63 0 V stroke 714 2220 M [ [(Helvetica) 140.0 0.0 true true 0 ( 0.25)] ] -46.7 MRshow 1.000 UL LTb 798 2820 M 63 0 V 6101 0 R -63 0 V stroke 714 2820 M [ [(Helvetica) 140.0 0.0 true true 0 ( 0.3)] ] -46.7 MRshow 1.000 UL LTb 798 3420 M 63 0 V 6101 0 R -63 0 V stroke 714 3420 M [ [(Helvetica) 140.0 0.0 true true 0 ( 0.35)] ] -46.7 MRshow 1.000 UL LTb 798 4020 M 63 0 V 6101 0 R -63 0 V stroke 714 4020 M [ [(Helvetica) 140.0 0.0 true true 0 ( 0.4)] ] -46.7 MRshow 1.000 UL LTb 798 4620 M 63 0 V 6101 0 R -63 0 V stroke 714 4620 M [ [(Helvetica) 140.0 0.0 true true 0 ( 0.45)] ] -46.7 MRshow 1.000 UL LTb 798 420 M 0 63 V 0 4137 R 0 -63 V stroke 798 280 M [ [(Helvetica) 140.0 0.0 true true 0 ( 0.1)] ] -46.7 MCshow 1.000 UL LTb 1569 420 M 0 63 V 0 4137 R 0 -63 V stroke 1569 280 M [ [(Helvetica) 140.0 0.0 true true 0 ( 0.2)] ] -46.7 MCshow 1.000 UL LTb 2339 420 M 0 63 V 0 4137 R 0 -63 V stroke 2339 280 M [ [(Helvetica) 140.0 0.0 true true 0 ( 0.3)] ] -46.7 MCshow 1.000 UL LTb 3110 420 M 0 63 V 0 4137 R 0 -63 V stroke 3110 280 M [ [(Helvetica) 140.0 0.0 true true 0 ( 0.4)] ] -46.7 MCshow 1.000 UL LTb 3880 420 M 0 63 V 0 4137 R 0 -63 V stroke 3880 280 M [ [(Helvetica) 140.0 0.0 true true 0 ( 0.5)] ] -46.7 MCshow 1.000 UL LTb 4651 420 M 0 63 V 0 4137 R 0 -63 V stroke 4651 280 M [ [(Helvetica) 140.0 0.0 true true 0 ( 0.6)] ] -46.7 MCshow 1.000 UL LTb 5421 420 M 0 63 V 0 4137 R 0 -63 V stroke 5421 280 M [ [(Helvetica) 140.0 0.0 true true 0 ( 0.7)] ] -46.7 MCshow 1.000 UL LTb 6191 420 M 0 63 V 0 4137 R 0 -63 V stroke 6191 280 M [ [(Helvetica) 140.0 0.0 true true 0 ( 0.8)] ] -46.7 MCshow 1.000 UL LTb 6962 420 M 0 63 V 0 4137 R 0 -63 V stroke 6962 280 M [ [(Helvetica) 140.0 0.0 true true 0 ( 0.9)] ] -46.7 MCshow 1.000 UL LTb 1.000 UL LTb 798 420 M 6164 0 V 0 4200 V -6164 0 V 798 420 L LTb 140 2520 M currentpoint gsave translate 90 rotate 0 0 moveto [ [(Helvetica) 140.0 0.0 true true 0 (Variance)] ] -46.7 MCshow grestore LTb 3880 70 M [ [(Helvetica) 140.0 0.0 true true 0 (delta)] ] -46.7 MCshow LTb 3880 4830 M [ [(Helvetica) 140.0 0.0 true true 0 (Variance Comparison at epsilon = 0.25)] ] -46.7 MCshow 1.000 UP 1.000 UP 1.000 UL LT0 LTb 6311 4487 M [ [(Helvetica) 140.0 0.0 true true 0 (SISR)] ] -46.7 MRshow LT0 798 4267 Pls 1569 3018 Pls 2339 2128 Pls 3110 1772 Pls 3880 1360 Pls 4651 965 Pls 5421 1050 Pls 6192 870 Pls 6962 651 Pls 6594 4487 Pls 1.000 UP 1.000 UL LT1 LTb 6311 4347 M [ [(Helvetica) 140.0 0.0 true true 0 (APF)] ] -46.7 MRshow LT1 798 4019 Circle 1569 3148 Circle 2339 1941 Circle 3110 1933 Circle 3880 1474 Circle 4651 1298 Circle 5421 1305 Circle 6192 1105 Circle 6962 859 Circle 6594 4347 Circle 1.000 UL LT0 LTb 6311 4207 M [ [(Helvetica) 140.0 0.0 true true 0 (SISR Asymptotic)] ] -46.7 MRshow LT0 6395 4207 M 399 0 V 798 4441 M 1569 2959 L 770 -788 V 771 -433 V 770 -268 V 771 -208 V 770 -203 V 6192 830 L 6962 564 L 1.000 UL LT1 LTb 6311 4067 M [ [(Helvetica) 140.0 0.0 true true 0 (APF Asymptotic)] ] -46.7 MRshow LT1 6395 4067 M 399 0 V 798 4151 M 1569 2927 L 770 -732 V 771 -445 V 770 -280 V 771 -188 V 770 -139 V 771 -114 V 6962 923 L 1.000 UL LTb 798 420 M 6164 0 V 0 4200 V -6164 0 V 798 420 L 1.000 UP stroke grestore end showpage %%Trailer %%DocumentFonts: Helvetica %%Pages: 1 %%EndDocument @endspecial 6606 221 a /End PSfrag 6606 221 a 6606 -36740 a /Hide PSfrag 6606 -36740 a -2521 -36048 a FD(PSfrag)340 b(replacemen)-28 b(ts)p -2521 -35686 9128 43 v 6606 -35644 a /Unhide PSfrag 6606 -35644 a 5781 -34471 a { 5781 -34471 a 5297 -34150 a FD(0.1)5781 -34471 y } 0/Place PSfrag 5781 -34471 a 5525 -32976 a { 5525 -32976 a 4785 -32655 a FD(0.15)5525 -32976 y } 1/Place PSfrag 5525 -32976 a 5781 -31482 a { 5781 -31482 a 5297 -31161 a FD(0.2)5781 -31482 y } 2/Place PSfrag 5781 -31482 a 5525 -29988 a { 5525 -29988 a 4785 -29667 a FD(0.25)5525 -29988 y } 3/Place PSfrag 5525 -29988 a 5781 -28493 a { 5781 -28493 a 5297 -28172 a FD(0.3)5781 -28493 y } 4/Place PSfrag 5781 -28493 a 5525 -26999 a { 5525 -26999 a 4785 -26678 a FD(0.35)5525 -26999 y } 5/Place PSfrag 5525 -26999 a 5781 -25504 a { 5781 -25504 a 5297 -25183 a FD(0.4)5781 -25504 y } 6/Place PSfrag 5781 -25504 a 5525 -24010 a { 5525 -24010 a 4785 -23689 a FD(0.45)5525 -24010 y } 7/Place PSfrag 5525 -24010 a 5781 -22516 a { 5781 -22516 a 5297 -22195 a FD(0.1)5781 -22516 y } 8/Place PSfrag 5781 -22516 a 5781 -21021 a { 5781 -21021 a 5297 -20700 a FD(0.2)5781 -21021 y } 9/Place PSfrag 5781 -21021 a 5781 -19527 a { 5781 -19527 a 5297 -19206 a FD(0.3)5781 -19527 y } 10/Place PSfrag 5781 -19527 a 5781 -18032 a { 5781 -18032 a 5297 -17711 a FD(0.4)5781 -18032 y } 11/Place PSfrag 5781 -18032 a 5781 -16538 a { 5781 -16538 a 5297 -16217 a FD(0.5)5781 -16538 y } 12/Place PSfrag 5781 -16538 a 5781 -15044 a { 5781 -15044 a 5297 -14723 a FD(0.6)5781 -15044 y } 13/Place PSfrag 5781 -15044 a 5781 -13549 a { 5781 -13549 a 5297 -13228 a FD(0.7)5781 -13549 y } 14/Place PSfrag 5781 -13549 a 5781 -12055 a { 5781 -12055 a 5297 -11734 a FD(0.8)5781 -12055 y } 15/Place PSfrag 5781 -12055 a 5781 -10560 a { 5781 -10560 a 5297 -10239 a FD(0.9)5781 -10560 y } 16/Place PSfrag 5781 -10560 a 4670 -9085 a { 4670 -9085 a 2735 -8745 a FD(V)-85 b(ariance)4670 -9085 y } 17/Place PSfrag 4670 -9085 a 6360 -7597 a { 6360 -7597 a 6114 -7251 a Fj(\016)6360 -7597 y } 18/Place PSfrag 6360 -7597 a -947 -6193 a { -947 -6193 a -8500 -5950 a FD(V)g(ariance)341 b(Comparison)g(at)g Fj(")285 b FD(=)g(0)p Fj(:)p FD(25.)-947 -6193 y } 19/Place PSfrag -947 -6193 a 5475 -4602 a { 5475 -4602 a 4345 -4262 a FD(SISR)5475 -4602 y } 20/Place PSfrag 5475 -4602 a 5539 -3108 a { 5539 -3108 a 4473 -2767 a FD(APF)5539 -3108 y } 21/Place PSfrag 5539 -3108 a 2714 -1710 a { 2714 -1710 a -1179 -1467 a FD(SISR)341 b(Asymptotic)2714 -1710 y } 22/Place PSfrag 2714 -1710 a 2778 -216 a { 2778 -216 a -1051 28 a FD(APF)h(Asymptotic) 2778 -216 y } 23/Place PSfrag 2778 -216 a 62606 221 a currentpoint grestore moveto 62606 221 a 6606 221 a currentpoint currentpoint translate 1 0.51675 div 1 0.51675 div scale neg exch neg exch translate 6606 221 a 30073 x FC(Fig.)394 b(2.2.)343 b FD(Comparativ)-28 b(e)342 b(v)-57 b(ariance)342 b(graph:)e(empirical)j(and)e(asymptotic)i (results)e(for)g(the)h(example.)6606 33809 y Fz(the)472 b(APF)f(outp)31 b(erforms)472 b(SISR)f(in)h(terms)g(of)g(the)g (asymptotic)i(v)-61 b(ariance)472 b(of)h(its)f(estimates.)h(A)6606 35602 y(n)-31 b(um)g(b)31 b(er)325 b(of)h(in)-31 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26251 y Fv(k)28119 26085 y Fz(\))28867 23765 y Fs(\024)29451 23819 y(Z)30743 25326 y Fx(')31467 25492 y Fv(t)31857 25326 y Fz(\()p Fx(x)32920 25492 y Fv(t)33310 25326 y Fz(\))28 b Fs(e)-643 b Fx(\031)34371 25526 y Fv(t)p Fu(j)p Fv(k)35513 25326 y Fz(\()p Fx(x)36576 25492 y Fv(t)36966 25326 y Fw(j)p Fx(x)37906 25492 y Fv(k)38451 25326 y Fz(\))p Fx(dx)40090 25492 y Fv(t)40726 25326 y Fw(\000)423 b Fz(\026)-730 b Fx(')42557 24834 y Fv(\031)43075 24945 y Fm(t)42557 25598 y Fv(t)43497 23765 y Fs(\025)44081 23994 y Ft(2)44763 25326 y Fx(dx)45972 25492 y Fv(k)19 b Fu(\000)p Ft(1:)p Fv(k)48389 25326 y Fx(;)13551 29015 y Fz(+)14658 27509 y Fs(Z)16204 28266 y Fz([)q Fx(\031)17143 28432 y Fv(t)17533 28266 y Fz(\()p Fx(x)18596 28432 y Fv(t)18985 28266 y Fz(\))p Fx(L)20168 28432 y Fv(t)p Fu(\000)p Ft(1)21692 28266 y Fz(\()p Fx(x)22755 28432 y Fv(t)23145 28266 y Fx(;)184 b(x)24269 28432 y Fv(t)p Fu(\000)p Ft(1)25793 28266 y Fz(\)])26530 27710 y Ft(2)p 16082 28761 11068 45 v 16082 29775 a Fx(\026)16749 29941 y Fv(t)p Fu(\000)p Ft(1)18272 29775 y Fz(\()p Fx(x)19335 29941 y Fv(t)p Fu(\000)p Ft(1)20858 29775 y Fz(\))p Fx(K)22228 29941 y Fv(t)22618 29775 y Fz(\()p Fx(x)23681 29941 y Fv(t)p Fu(\000)p Ft(1)25204 29775 y Fx(;)g(x)26328 29941 y Fv(t)26719 29775 y Fz(\))27467 29015 y([)p Fx(')28498 29181 y Fv(t)28888 29015 y Fz(\()p Fx(x)29951 29181 y Fv(t)30341 29015 y Fz(\))246 b Fw(\000)424 b Fz(\026)-731 b Fx(')32848 28523 y Fv(\031)33366 28634 y Fm(t)32848 29288 y Fv(t)33789 29015 y Fz(])34096 28459 y Ft(2)34777 29015 y Fx(dx)35986 29181 y Fv(t)p Fu(\000)p Ft(1:)p Fv(t)38094 29015 y Fx(:)7269 b Fz(\(3.3\))8266 31727 y Fr(wher)-57 b(e,)397 b(for)f(the)f(sake)h(of)g(de\014niteness:)17103 34843 y Fs(e)-643 b Fx(\031)17706 35009 y Fv(t)18096 34843 y Fz(\()p Fx(x)19159 35009 y Ft(1:)p Fv(t)20240 34843 y Fz(\))308 b(=)g Fx(\031)22778 35009 y Fv(t)23167 34843 y Fz(\()p Fx(x)24230 35009 y Fv(t)24620 34843 y Fz(\))25307 33459 y Fv(t)p Fu(\000)p Ft(1)25333 33791 y Fs(Y)25234 36174 y 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Ft(1)19123 4228 y Fz(\()q Fk(E)20292 4394 y Fv(\032)20751 4505 y Fm(t)21358 4228 y Fz([)q Fx(')22390 4394 y Fv(t)22964 4228 y Fw(j)q Fx(\033)40 b Fz(\()p Fx(X)25292 4394 y Ft(1:)p Fv(t)p Fu(\000)p Ft(1)27506 4228 y Fz(\))134 b(]\))247 b(+)e Fk(E)30898 4394 y Fv(\032)31357 4505 y Fm(t)31965 4228 y Fz([)p Fp(V)-31 b(a)g(r)33874 4394 y Fv(\032)34333 4505 y Fm(t)34941 4228 y Fz([)p Fx(')35972 4394 y Fv(t)36547 4228 y Fw(j)p Fx(\033)40 b Fz(\()p Fx(X)38874 4394 y Ft(1:)p Fv(t)p Fu(\000)p Ft(1)41089 4228 y Fz(\))133 b(])q(])12284 6353 y Fx(V)12930 6519 y Fv(t)13320 6353 y Fz(\()p Fx(')14474 6519 y Fv(t)14864 6353 y Fz(\))308 b(=)16909 6073 y Fs(e)16770 6353 y Fx(V)17416 6519 y Fv(t)17990 6353 y Fz(\()q Fx(W)19466 6519 y Fv(t)20041 6353 y Fz(\()p Fx(')21195 6519 y Fv(t)21831 6353 y Fw(\000)246 b Fk(E)23676 6519 y Fv(\031)24194 6630 y Fm(t)24801 6353 y Fz([)p Fx(')25832 6519 y Fv(t)26222 6353 y Fz(])q(\)\))12453 8199 y(^)12284 8478 y Fx(V)12930 8644 y Fv(t)13320 8478 y Fz(\()p Fx(')14474 8644 y Fv(t)14864 8478 y Fz(\))308 b(=)f Fx(V)17416 8644 y Fv(t)17806 8478 y Fz(\()p Fx(')18960 8644 y Fv(t)19350 8478 y Fz(\))247 b(+)f Fp(V)-31 b(a)g(r)22736 8644 y Fv(\031)23254 8755 y Fm(t)23861 8478 y Fz([)p Fx(')24892 8644 y Fv(t)25282 8478 y Fz(])185 b Fx(:)6606 11378 y Fq(Prop)35 b(osition)426 b(A.1.1.)554 b Fr(We)593 b(wil)57 b(l)593 b(show,)g(inductively,)j (that)33707 11098 y Fs(f)33661 11378 y Fx(W)34706 11544 y Fv(t)35096 11378 y Fz(\()p Fx(')36250 11544 y Fv(t)36640 11378 y Fz(\))e Fr(may)g(b)-57 b(e)595 b(written)e(in)i(a)6606 13171 y(close)-57 b(d)396 b(form)g(as:)15142 16597 y Fx(V)15788 16763 y Fv(t)16178 16597 y Fz(\()p Fx(')17332 16763 y Ft(3)17829 16597 y Fz(\))308 b(=)19684 15213 y Fv(t)p Fu(\000)p Ft(1)19618 15545 y Fs(X)19612 17928 y Fv(k)19 b Ft(=1)21407 16597 y Fp(V)-31 b(a)g(r)23009 16763 y Fv(\032)23468 16880 y Fm(k)24192 16597 y Fz([)q Fx(W)25545 16763 y Fv(k)26274 16597 y Fz(\()q Fk(E)27443 16763 y Fv(\031)27961 16874 y Fm(t)28567 16597 y Fz([)q Fx(')29599 16763 y Fv(t)30173 16597 y Fw(j)q Fx(\033)40 b Fz(\()p Fx(X)32501 16763 y Ft(1:)p Fv(k)33737 16597 y Fz(\))133 b(])247 b Fw(\000)423 b Fz(\026)-730 b Fx(')36685 16105 y Fv(\031)37203 16216 y Fm(t)36685 16869 y Fv(t)37625 16597 y Fz(\))q(])185 b(+)19428 19737 y Fp(V)-31 b(a)g(r)21030 19903 y Fv(\032)21489 20014 y Fm(t)22096 19737 y Fz([)q Fx(W)23449 19903 y Fv(t)23839 19737 y Fz(\()p Fx(')24993 19903 y Fv(t)25630 19737 y Fw(\000)423 b Fz(\026)-731 b Fx(')27460 19245 y Fv(\031)27978 19356 y Fm(t)27460 20010 y Fv(t)28401 19737 y Fz(\)])185 b Fx(:)15763 b Fz(\(A.1\))6606 22636 y Fr(wher)-57 b(e)358 b(it)g(has)g(b)-57 b(e)g(en)360 b(c)-57 b(onvenient)361 b(to)d(de\014ne)536 b Fz(\026)-730 b Fx(')25779 22144 y Fv(\031)26297 22255 y Fm(t)25779 22909 y Fv(t)27027 22636 y Fz(=)28195 21745 y Fs(R)29118 22636 y Fx(')29842 22802 y Fv(t)30231 22636 y Fz(\()p Fx(x)31294 22802 y Ft(1:)p Fv(t)32376 22636 y Fz(\))p Fx(\031)33437 22802 y Fv(t)33827 22636 y Fz(\()p Fx(dx)35466 22802 y Ft(1:)p Fv(t)36548 22636 y Fz(\))359 b Fr(\(we)f(wil)57 b(l)357 b(further)i(de\014ne)6783 24430 y Fz(\026)-730 b Fx(')7330 23898 y Fv(\032)7789 24009 y Fm(t)7330 24702 y Fv(t)8519 24430 y Fz(=)9688 23538 y Fs(R)10610 24430 y Fx(')11334 24596 y Fv(t)11724 24430 y Fz(\()p Fx(x)12787 24596 y Ft(1:)p Fv(t)13869 24430 y Fz(\))p Fx(\032)14871 24596 y Fv(t)15261 24430 y Fz(\()p Fx(dx)16900 24596 y Ft(1:)p Fv(t)17982 24430 y Fz(\))p Fr(\).)6606 27108 y(Pr)-57 b(o)g(of.)554 b Fz(W)-92 b(e)319 b(b)31 b(egin)320 b(b)-31 b(y)320 b(considering)g(the) g(initialisation.)325 b(A)-31 b(t)320 b(time)h(1,)f(w)-31 b(e)320 b(ha)-31 b(v)g(e)321 b(a)f(self-normalised)6606 28901 y(imp)31 b(ortance)370 b(sampling)h(estimator)g(and)f(so)f(\(see) g([10)q(]\):)19653 31801 y Fx(V)20299 31967 y Ft(1)20795 31801 y Fz(\()p Fx(')21949 31967 y Ft(1)22446 31801 y Fz(\))308 b(=)g Fp(V)-31 b(a)g(r)25955 31967 y Fv(\032)26414 32078 y Fo(1)27086 31801 y Fz([)p Fx(W)28438 31967 y Ft(1)28935 31801 y Fz(\()p Fx(')30089 31967 y Ft(1)30832 31801 y Fw(\000)424 b Fz(\026)-731 b Fx(')32663 31309 y Fv(\031)33181 31420 y Fo(1)32663 32096 y Ft(1)33669 31801 y Fz(\)])185 b Fx(;)6606 34700 y Fz(and)369 b(after)h(resampling) g(w)-31 b(e)370 b(ha)-31 b(v)g(e:)16832 37320 y(^)16663 37599 y Fx(V)17309 37765 y Ft(1)17805 37599 y Fz(\()p Fx(')18959 37765 y Ft(1)19456 37599 y Fz(\))308 b(=)f Fp(V)-31 b(a)g(r)22964 37765 y Fv(\032)23423 37876 y Fo(1)24096 37599 y Fz([)p Fx(W)25448 37765 y Ft(1)25945 37599 y Fz(\()p Fx(')27099 37765 y Ft(1)27842 37599 y Fw(\000)424 b Fz(\026)-731 b Fx(')29673 37107 y Fv(\031)30191 37218 y Fo(1)29673 37895 y Ft(1)30679 37599 y Fz(\)])246 b(+)g Fp(V)-31 b(a)g(r)34371 37765 y Fv(\031)34889 37876 y Fo(1)35561 37599 y Fz([)p Fx(')36592 37765 y Ft(1)37089 37599 y Fz(])185 b Fx(:)6606 40499 y Fz(A)-31 b(t)370 b(iteration)h(t)-31 b(w)g(o,)372 b(w)-31 b(e)369 b(obtain:)13887 43118 y Fs(e)13749 43398 y Fx(V)14395 43564 y Ft(2)14891 43398 y Fz(\()p Fx(')16045 43564 y Ft(2)16543 43398 y Fz(\))308 b(=)18311 43118 y(^)18141 43398 y Fx(V)18787 43564 y Ft(1)19468 43398 y Fz(\()q Fk(E)20637 43564 y Fv(\032)21096 43675 y Fo(2)21768 43398 y Fz([)p Fx(')22799 43564 y Ft(2)23481 43398 y Fw(j)p Fx(\033)40 b Fz(\()p Fx(X)25808 43564 y Ft(1)26305 43398 y Fz(\))133 b(]\))247 b(+)f Fk(E)29697 43564 y Fv(\032)30156 43675 y Fo(2)30828 43398 y Fz([)p Fp(V)-31 b(a)g(r)32737 43564 y Fv(\032)33196 43675 y Fo(2)33869 43398 y Fz([)p Fx(')34900 43564 y Ft(2)35581 43398 y Fw(j)q Fx(\033)40 b Fz(\()p Fx(X)37909 43564 y Ft(1)38405 43398 y Fz(\))133 b(])q(])17281 45524 y(=)o Fp(V)-31 b(a)g(r)19744 45690 y Fv(\032)20203 45801 y Fo(1)20875 45524 y Fz([)p Fx(W)22227 45690 y Ft(1)22909 45524 y Fz(\()p Fk(E)24077 45690 y Fv(\032)24536 45801 y Fo(2)25208 45524 y Fz([)q Fx(')26240 45690 y Ft(2)26921 45524 y Fw(j)p Fx(\033)40 b Fz(\()p Fx(X)29248 45690 y Ft(1)29745 45524 y Fz(\))133 b(])247 b Fw(\000)423 b Fz(\026)-730 b Fx(')32693 44992 y Fv(\032)33152 45103 y Fo(2)32693 45819 y Ft(2)33639 45524 y Fz(\))q(])185 b(+)18141 47649 y Fp(V)-31 b(a)g(r)19744 47815 y Fv(\031)20262 47926 y Fo(1)20933 47649 y Fz([)q Fk(E)21979 47815 y Fv(\032)22438 47926 y Fo(2)23110 47649 y Fz([)p Fx(')24141 47815 y Ft(2)24822 47649 y Fw(j)q Fx(\033)40 b Fz(\()p Fx(X)27150 47815 y Ft(1)27646 47649 y Fz(\))134 b(]])247 b(+)e Fk(E)30915 47815 y Fv(\032)31374 47926 y Fo(2)32047 47649 y Fz([)p Fp(V)-31 b(a)g(r)33956 47815 y Fv(\032)34415 47926 y Fo(2)35087 47649 y Fz([)q Fx(')36119 47815 y Ft(2)36800 47649 y Fw(j)p Fx(\033)40 b Fz(\()p Fx(X)39127 47815 y Ft(1)39624 47649 y Fz(\))133 b(])q(])17281 49774 y(=)o Fp(V)-31 b(a)g(r)19744 49940 y Fv(\032)20203 50051 y Fo(1)20875 49774 y Fz([)p Fx(W)22227 49940 y Ft(1)22909 49774 y Fz(\()p Fk(E)24077 49940 y Fv(\032)24536 50051 y Fo(2)25208 49774 y Fz([)q Fx(')26240 49940 y Ft(2)26921 49774 y Fw(j)p Fx(\033)40 b Fz(\()p Fx(X)29248 49940 y Ft(1)29745 49774 y Fz(\))133 b(])247 b Fw(\000)423 b Fz(\026)-730 b Fx(')32693 49242 y Fv(\032)33152 49353 y Fo(2)32693 50069 y Ft(2)33639 49774 y Fz(\))q(])246 b(+)g Fp(V)-31 b(a)g(r)37332 49940 y Fv(\032)37791 50051 y Fo(2)38464 49774 y Fz([)p Fx(')39495 49940 y Ft(2)39992 49774 y Fz(])6606 52674 y(where)369 b(the)g(\014nal)h(line)g(follo)-31 b(ws)371 b(from)f(t)-31 b(w)g(o)371 b(observ)-61 b(ations:)6606 55131 y Fq({)471 b Fz(The)348 b(marginal)j(distribution)f(of)e Fx(X)22733 55297 y Ft(1)23578 55131 y Fz(under)g(the)g(target)i (measure)e(at)h(time)g(1)g(and)f(the)g(uncor-)7713 56924 y(rected)369 b(measure)g(at)h(time)g(t)-31 b(w)g(o)371 b(are)e(iden)-31 b(tical:)372 b Fx(\032)28502 57090 y Ft(2)28999 56924 y Fz(\()p Fx(dx)30638 57090 y Ft(1)31135 56924 y Fz(\))308 b(=)f Fx(\031)33672 57090 y Ft(1)34169 56924 y Fz(\()p Fx(dx)35808 57090 y Ft(1)36305 56924 y Fz(\).)6606 58717 y Fq({)471 b Fz(As)g(is)h(w)-31 b(ell)474 b(kno)-31 b(wn,)474 b(giv)-31 b(en)473 b(an)-31 b(y)473 b Fx(\033)40 b Fz(-algebra,)473 b Fw(F)110 b Fz(,)472 b(and)g(an)-31 b(y)473 b(function)g Fx(')f Fz(one)h(has)f Fp(V)-31 b(a)g(r)255 b Fz([)q Fx(')p Fz(])479 b(=)7713 60511 y Fk(E)239 b Fz([)q Fp(V)-31 b(a)g(r)256 b Fz([)p Fx(')p Fw(jF)110 b Fz(])q(])246 b(+)g Fp(V)-31 b(a)g(r)256 b Fz([)q Fk(E)240 b Fz([)p Fx(')p Fw(jF)110 b Fz(])q(].)6606 62968 y(After)399 b(correction,)h(noting)h(that)f Fk(E)21678 63134 y Fv(\032)22137 63245 y Fo(2)22809 62968 y Fz([)q Fx(W)24162 63134 y Ft(2)24659 62968 y Fz(\()p Fx(')25813 63134 y Ft(2)26556 62968 y Fw(\000)424 b Fz(\026)-731 b Fx(')28387 62476 y Fv(\031)28905 62587 y Fo(2)28387 63263 y Ft(2)29392 62968 y Fz(\)])358 b(=)f(0,)400 b(w)-31 b(e)400 b(obtain)g(the)g(asymptotic)h(v)-61 b(ari-)6606 64761 y(ance)369 b(of)h(in)-31 b(terest)370 b(at)g Fx(t)307 b Fz(=)g(2:)10212 67660 y Fx(V)10858 67826 y Ft(2)11354 67660 y Fz(\()p Fx(')12508 67826 y Ft(2)13005 67660 y Fz(\))h(=)15050 67381 y Fs(e)14912 67660 y Fx(V)15558 67826 y Ft(2)16238 67660 y Fz(\()q Fx(W)17714 67826 y Ft(2)18396 67660 y Fz(\()p Fx(')19550 67826 y Ft(2)20293 67660 y Fw(\000)423 b Fz(\026)-730 b Fx(')22124 67168 y Fv(\031)22642 67279 y Fo(2)22124 67956 y Ft(2)23129 67660 y Fz(\)\))13743 69786 y(=)308 b Fp(V)-31 b(a)g(r)16514 69952 y Fv(\032)16973 70063 y Fo(1)17645 69786 y Fz([)p Fx(W)18997 69952 y Ft(1)19494 69786 y Fk(E)20232 69952 y Fv(\032)20691 70063 y Fo(2)21363 69786 y Fz([)q Fx(W)22716 69952 y Ft(2)23398 69786 y Fz(\()p Fx(')24552 69952 y Ft(2)25295 69786 y Fw(\000)423 b Fz(\026)-730 b Fx(')27126 69294 y Fv(\031)27644 69405 y Fo(2)27126 70081 y Ft(2)28131 69786 y Fz(\))185 b Fw(j)p Fx(\033)40 b Fz(\()p Fx(X)31073 69952 y Ft(1)31570 69786 y Fz(\))133 b(])q(])246 b(+)g Fp(V)-31 b(a)g(r)35703 69952 y Fv(\032)36162 70063 y Fo(2)36834 69786 y Fz([)q Fx(W)38187 69952 y Ft(2)38868 69786 y Fz(\()q Fx(')40023 69952 y Ft(2)40765 69786 y Fw(\000)424 b Fz(\026)-731 b Fx(')42596 69294 y Fv(\031)43114 69405 y Fo(2)42596 70081 y Ft(2)43601 69786 y Fz(\))q(])13743 71911 y(=)308 b Fp(V)-31 b(a)g(r)16514 72077 y Fv(\032)16973 72188 y Fo(1)17645 71911 y Fz([)p Fx(W)18997 72077 y Ft(1)19494 71911 y Fk(E)20232 72077 y Fv(\031)20750 72188 y Fo(2)21422 71911 y Fz([)p Fx(')22453 72077 y Ft(2)23196 71911 y Fw(\000)424 b Fz(\026)-731 b Fx(')25027 71419 y Fv(\031)25545 71530 y Fo(2)25027 72206 y Ft(2)26217 71911 y Fw(j)p Fx(\033)40 b Fz(\()p Fx(X)28544 72077 y Ft(1)29041 71911 y Fz(\))133 b(]])247 b(+)f Fp(V)-31 b(a)g(r)33174 72077 y Fv(\032)33633 72188 y Fo(2)34305 71911 y Fz([)p Fx(W)35657 72077 y Ft(2)36339 71911 y Fz(\()q Fx(')37494 72077 y Ft(2)38236 71911 y Fw(\000)424 b Fz(\026)-731 b Fx(')40067 71419 y Fv(\031)40585 71530 y Fo(2)40067 72206 y Ft(2)41072 71911 y Fz(\))q(])185 b Fx(:)6606 74810 y Fz(And,)369 b(after)h(resampling:)p 6606 75734 5248 45 v 7002 76450 a Fi(1)7805 76873 y FD(This)d(has)h(b) 28 b(een)369 b(written)f(in)g(a)g(sligh)-28 b(tly)369 b(di\013eren)-28 b(t)368 b(form)g(to)g(the)g(original)h(to)f(emphasize) h(the)f(r^)-512 b(ole)369 b(of)7805 78367 y Fj(\032)8332 78478 y Fh(t)9045 78367 y FD(for)341 b(reasons)g(whic)-28 b(h)340 b(will)j(b)28 b(ecome)342 b(apparen)-28 b(t.)p eop end %%Page: 23 23 TeXDict begin 23 22 bop 35397 -2214 a FD(A.)554 b(Inductiv)-28 b(e)342 b(Pro)28 b(ofs)2529 b(23)8409 1197 y Fz(^)8240 1477 y Fx(V)8886 1643 y Ft(2)9383 1477 y Fz(\()p Fx(')10537 1643 y Ft(2)11034 1477 y Fz(\))308 b(=)f Fp(V)-31 b(a)g(r)14542 1643 y Fv(\032)15001 1754 y Fo(1)15673 1477 y Fz([)q Fx(W)17026 1643 y Ft(1)17523 1477 y Fk(E)18261 1643 y Fv(\031)18779 1754 y Fo(2)19450 1477 y Fz([)q Fx(')20482 1643 y Ft(2)21225 1477 y Fw(\000)423 b Fz(\026)-730 b Fx(')23056 985 y Fv(\031)23574 1096 y Fo(2)23056 1772 y Ft(2)24245 1477 y Fw(j)q Fx(\033)40 b Fz(\()p Fx(X)26573 1643 y Ft(1)27069 1477 y Fz(\))133 b(])q(])246 b(+)g Fp(V)-31 b(a)g(r)31202 1643 y Fv(\032)31661 1754 y Fo(2)32333 1477 y Fz([)q Fx(W)33686 1643 y Ft(2)34368 1477 y Fz(\()p Fx(')35522 1643 y Ft(2)36265 1477 y Fw(\000)423 b Fz(\026)-730 b Fx(')38096 985 y Fv(\031)38614 1096 y Fo(2)38096 1772 y Ft(2)39101 1477 y Fz(\)])247 b(+)f Fp(V)-31 b(a)g(r)42794 1643 y Fv(\031)43312 1754 y Fo(2)43983 1477 y Fz([)q Fx(')45015 1643 y Ft(2)45512 1477 y Fz(])184 b Fx(:)6606 3828 y Fz(As)366 b(a)h(\014nal)g(preliminary)h(w)-31 b(e)367 b(will)i(obtain)f(the)f(v)-61 b(ariance)367 b(expression)f(for) h Fx(t)307 b Fz(=)h(3)367 b(directly)g(as)g(this)6606 5621 y(will)k(simplify)g(the)e(induction)i(pro)31 b(cess.)13196 7692 y Fs(e)13057 7972 y Fx(V)13703 8138 y Ft(3)14199 7972 y Fz(\()p Fx(')15353 8138 y Ft(3)15851 7972 y Fz(\))308 b(=)17619 7692 y(^)17450 7972 y Fx(V)18096 8138 y Ft(2)18776 7972 y Fz(\()q Fk(E)19945 8138 y Fv(\032)20404 8249 y Fo(3)21076 7972 y Fz([)q Fx(')22108 8138 y Ft(3)22789 7972 y Fw(j)p Fx(\033)40 b Fz(\()p Fx(X)25116 8138 y Ft(1:2)26305 7972 y Fz(\))133 b(]\))247 b(+)f Fk(E)29697 8138 y Fv(\032)30156 8249 y Fo(3)30828 7972 y Fz([)p Fp(V)-31 b(a)g(r)32737 8138 y Fv(\032)33196 8249 y Fo(3)33869 7972 y Fz([)p Fx(')34900 8138 y Ft(3)35581 7972 y Fw(j)q Fx(\033)40 b Fz(\()p Fx(X)37909 8138 y Ft(1:2)39097 7972 y Fz(\))133 b(])q(])16589 10097 y(=)p Fp(V)-31 b(a)g(r)19052 10263 y Fv(\032)19511 10374 y Fo(1)20183 10097 y Fz([)p Fx(W)21535 10263 y Ft(1)22032 10097 y Fk(E)22770 10263 y Fv(\031)23288 10374 y Fo(2)23960 10097 y Fz([)p Fk(E)25005 10263 y Fv(\032)25464 10374 y Fo(3)26136 10097 y Fz([)q Fx(')27168 10263 y Ft(3)27849 10097 y Fw(j)q Fx(\033)40 b Fz(\()p Fx(X)30177 10263 y Ft(1:2)31365 10097 y Fz(\))133 b(])247 b Fw(\000)423 b Fz(\026)-730 b Fx(')34313 9565 y Fv(\032)34772 9676 y Fo(3)34313 10392 y Ft(3)35444 10097 y Fw(j)p Fx(\033)40 b Fz(\()p Fx(X)37771 10263 y Ft(1)38268 10097 y Fz(\))133 b(])q(])185 b(+)17450 12223 y Fp(V)-31 b(a)g(r)19052 12389 y Fv(\032)19511 12500 y Fo(2)20183 12223 y Fz([)p Fx(W)21535 12389 y Ft(2)22217 12223 y Fz(\()p Fk(E)23385 12389 y Fv(\032)23844 12500 y Fo(3)24516 12223 y Fz([)q Fx(')25548 12389 y Ft(3)26229 12223 y Fw(j)q Fx(\033)40 b Fz(\()p Fx(X)28557 12389 y Ft(1:2)29745 12223 y Fz(\))133 b(])247 b Fw(\000)423 b Fz(\026)-730 b Fx(')32693 11691 y Fv(\032)33152 11802 y Fo(3)32693 12518 y Ft(3)33639 12223 y Fz(\))q(])185 b(+)17450 14348 y Fp(V)-31 b(a)g(r)19052 14514 y Fv(\031)19570 14625 y Fo(2)20241 14348 y Fz([)q Fk(E)21287 14514 y Fv(\032)21746 14625 y Fo(3)22418 14348 y Fz([)p Fx(')23449 14514 y Ft(3)24130 14348 y Fw(j)q Fx(\033)40 b Fz(\()p Fx(X)26458 14514 y Ft(1:2)27646 14348 y Fz(\))134 b(]])247 b(+)e Fk(E)30915 14514 y Fv(\032)31374 14625 y Fo(3)32047 14348 y Fz([)p Fp(V)-31 b(a)g(r)33956 14514 y Fv(\032)34415 14625 y Fo(3)35087 14348 y Fz([)q Fx(')36119 14514 y Ft(3)36800 14348 y Fw(j)p Fx(\033)40 b Fz(\()p Fx(X)39127 14514 y Ft(1:2)40316 14348 y Fz(\))133 b(])q(])16589 16473 y(=)p Fp(V)-31 b(a)g(r)19052 16639 y Fv(\032)19511 16750 y Fo(1)20183 16473 y Fz([)p Fx(W)21535 16639 y Ft(1)22217 16473 y Fz(\()p Fk(E)23385 16639 y Fv(\032)23844 16750 y Fo(3)24516 16473 y Fz([)q Fx(')25548 16639 y Ft(3)26229 16473 y Fw(j)q Fx(\033)40 b Fz(\()p Fx(X)28557 16639 y Ft(1)29053 16473 y Fz(\))133 b(])247 b Fw(\000)423 b Fz(\026)-730 b Fx(')32001 15941 y Fv(\032)32460 16052 y Fo(3)32001 16769 y Ft(3)32948 16473 y Fz(\)])185 b(+)17450 18599 y Fp(V)-31 b(a)g(r)19052 18765 y Fv(\032)19511 18876 y Fo(2)20183 18599 y Fz([)p Fx(W)21535 18765 y Ft(2)22217 18599 y Fz(\()p Fk(E)23385 18765 y Fv(\032)23844 18876 y Fo(3)24516 18599 y Fz([)q Fx(')25548 18765 y Ft(3)26229 18599 y Fw(j)q Fx(\033)40 b Fz(\()p Fx(X)28557 18765 y Ft(1:2)29745 18599 y Fz(\))133 b(])247 b Fw(\000)423 b Fz(\026)-730 b Fx(')32693 18067 y Fv(\032)33152 18178 y Fo(3)32693 18894 y Ft(3)33639 18599 y Fz(\))q(])185 b(+)17450 20724 y Fp(V)-31 b(a)g(r)19052 20890 y Fv(\032)19511 21001 y Fo(3)20183 20724 y Fz([)p Fx(')21214 20890 y Ft(3)21711 20724 y Fz(])185 b Fx(;)6606 23075 y Fz(whic)-31 b(h)370 b(just)f(lea)-31 b(v)g(es)370 b(the)g(correction)g(step)f (\(noting)i(that)g Fk(E)31568 23241 y Fv(\032)32027 23352 y Fo(3)32699 23075 y Fz([)p Fx(W)34051 23241 y Ft(3)34548 23075 y Fz(\()p Fx(')35702 23241 y Ft(3)36446 23075 y Fw(\000)423 b Fz(\026)-730 b Fx(')38277 22583 y Fv(\031)38795 22694 y Fo(3)38277 23370 y Ft(3)39282 23075 y Fz(\)])308 b(=)g(0\):)16034 25426 y Fx(V)16680 25592 y Ft(3)17177 25426 y Fz(\()p Fx(')18331 25592 y Ft(3)18828 25426 y Fz(\))g(=)20565 25146 y Fs(e)20427 25426 y Fx(V)21073 25592 y Ft(3)21754 25426 y Fz(\()p Fx(W)23229 25592 y Ft(3)23911 25426 y Fz(\()p Fx(')25065 25592 y Ft(3)25808 25426 y Fw(\000)423 b Fz(\026)-730 b Fx(')27639 24934 y Fv(\031)28157 25045 y Fo(3)27639 25721 y Ft(3)28644 25426 y Fz(\)\))19566 27551 y(=)p Fp(V)-31 b(a)g(r)22029 27717 y Fv(\032)22488 27828 y Fo(1)23160 27551 y Fz([)p Fx(W)24512 27717 y Ft(1)25194 27551 y Fz(\()q Fk(E)26363 27717 y Fv(\031)26881 27828 y Fo(3)27552 27551 y Fz([)p Fx(')28583 27717 y Ft(3)29265 27551 y Fw(j)p Fx(\033)40 b Fz(\()p Fx(X)31592 27717 y Ft(1)32089 27551 y Fz(\))133 b(])246 b Fw(\000)424 b Fz(\026)-731 b Fx(')35036 27059 y Fv(\031)35554 27170 y Fo(3)35036 27847 y Ft(3)36042 27551 y Fz(\)])185 b(+)20427 29677 y Fp(V)-31 b(a)g(r)22029 29843 y Fv(\032)22488 29954 y Fo(2)23160 29677 y Fz([)p Fx(W)24512 29843 y Ft(2)25194 29677 y Fz(\()q Fk(E)26363 29843 y Fv(\031)26881 29954 y Fo(3)27552 29677 y Fz([)p Fx(')28583 29843 y Ft(3)29265 29677 y Fw(j)p Fx(\033)40 b Fz(\()p Fx(X)31592 29843 y Ft(1:2)32780 29677 y Fz(\))134 b(])246 b Fw(\000)424 b Fz(\026)-731 b Fx(')35728 29185 y Fv(\031)36246 29296 y Fo(3)35728 29972 y Ft(3)36733 29677 y Fz(\))q(])185 b(+)20427 31802 y Fp(V)-31 b(a)g(r)22029 31968 y Fv(\032)22488 32079 y Fo(3)23160 31802 y Fz([)p Fx(W)24512 31968 y Ft(3)25010 31802 y Fz(\()p Fx(')26164 31968 y Ft(3)26907 31802 y Fw(\000)423 b Fz(\026)-730 b Fx(')28738 31310 y Fv(\031)29256 31421 y Fo(3)28738 32097 y Ft(3)29743 31802 y Fz(\)])185 b Fx(:)8266 34153 y Fz(No)-31 b(w,)371 b(assume)e(that)i(equation)g(\(A.1\))g(holds)e(at) h Fx(t)p Fz(,)g(then:)15365 36812 y(^)15196 37092 y Fx(V)15842 37258 y Fv(t)16231 37092 y Fz(\()p Fx(')17385 37258 y Fv(t)17776 37092 y Fz(\))308 b(=)19630 35708 y Fv(t)p Fu(\000)p Ft(1)19565 36040 y Fs(X)19559 38423 y Fv(k)19 b Ft(=1)21354 37092 y Fp(V)-31 b(a)g(r)22956 37258 y Fv(\032)23415 37375 y Fm(k)24139 37092 y Fz([)p Fx(W)25491 37258 y Fv(k)26221 37092 y Fz(\()p Fk(E)27389 37258 y Fv(\031)27907 37369 y Fm(t)28514 37092 y Fz([)q Fx(')29546 37258 y Fv(t)30120 37092 y Fw(j)p Fx(\033)40 b Fz(\()p Fx(X)32447 37258 y Ft(1:)p Fv(k)33684 37092 y Fz(\))133 b(])247 b Fw(\000)423 b Fz(\026)-731 b Fx(')36631 36600 y Fv(\031)37149 36711 y Fm(t)36631 37364 y Fv(t)37572 37092 y Fz(\)])185 b(+)19375 40232 y Fp(V)-31 b(a)g(r)20977 40398 y Fv(\032)21436 40509 y Fm(t)22043 40232 y Fz([)q Fx(W)23396 40398 y Fv(t)23786 40232 y Fz(\()p Fx(')24940 40398 y Fv(t)25576 40232 y Fw(\000)424 b Fz(\026)-731 b Fx(')27407 39740 y Fv(\031)27925 39851 y Fm(t)27407 40505 y Fv(t)28347 40232 y Fz(\)])247 b(+)f Fp(V)-31 b(a)g(r)32040 40398 y Fv(\031)32558 40509 y Fm(t)33165 40232 y Fz([)q Fx(')34197 40398 y Fv(t)34587 40232 y Fz(])6606 42583 y(and)369 b(after)h(the)f(prop)31 b(osal)370 b(step)f(at)h(time)h Fx(t)245 b Fz(+)h(1,)370 b(w)-31 b(e)370 b(obtain:)9064 44654 y Fs(e)8926 44934 y Fx(V)9572 45100 y Fv(t)p Ft(+1)11082 44934 y Fz(\()p Fx(')12236 45100 y Fv(t)p Ft(+1)13747 44934 y Fz(\))308 b(=)15515 44654 y(^)15346 44934 y Fx(V)15992 45100 y Fv(t)16566 44038 y Fs(\000)17074 44934 y Fk(E)17812 45100 y Fv(\032)18271 45211 y Fm(t)p Fo(+1)19823 44934 y Fz([)q Fx(')20855 45100 y Fv(t)p Ft(+1)22550 44934 y Fw(j)q Fx(\033)40 b Fz(\()p Fx(X)24878 45100 y Ft(1:)p Fv(t)25959 44934 y Fz(\))133 b(])26830 44038 y Fs(\001)27583 44934 y Fz(+)246 b Fk(E)29428 45100 y Fv(\032)29887 45211 y Fm(t)p Fo(+1)31440 44038 y Fs(\002)31901 44934 y Fp(V)-31 b(a)g(r)33503 45100 y Fv(\032)33962 45211 y Fm(t)p Fo(+1)35515 44934 y Fz([)q Fx(')36547 45100 y Fv(t)p Ft(+1)38242 44934 y Fw(j)p Fx(\033)40 b Fz(\()p Fx(X)40569 45100 y Ft(1:)p Fv(t)41651 44934 y Fz(\))133 b(])42522 44038 y Fs(\003)14485 47909 y Fz(=)15602 46525 y Fv(t)p Fu(\000)p Ft(1)15536 46857 y Fs(X)15531 49240 y Fv(k)19 b Ft(=1)17325 47909 y Fp(V)-31 b(a)g(r)18927 48075 y Fv(\032)19386 48192 y Fm(k)20110 47012 y Fs(\002)20572 47909 y Fx(W)21617 48075 y Fv(k)22346 47012 y Fs(\000)22854 47909 y Fk(E)23592 48075 y Fv(\031)24110 48186 y Fm(t)24716 47012 y Fs(\002)25178 47909 y Fk(E)25916 48075 y Fv(\032)26375 48186 y Fm(t)p Fo(+1)27927 47909 y Fz([)q Fx(')28959 48075 y Fv(t)p Ft(+1)30654 47909 y Fw(j)q Fx(\033)40 b Fz(\()p Fx(X)32982 48075 y Ft(1:)p Fv(t)34063 47909 y Fz(\))133 b(])185 b Fw(j)q Fx(\033)40 b Fz(\()p Fx(X)37446 48075 y Ft(1:)p Fv(k)38682 47909 y Fz(\))39245 47012 y Fs(\003)39953 47909 y Fw(\000)423 b Fz(\026)-730 b Fx(')41784 47324 y Fv(\032)42243 47435 y Fm(t)p Fo(+1)41784 48204 y Fv(t)p Ft(+1)43611 47012 y Fs(\001)q(\003)44764 47909 y Fz(+)15346 51049 y Fp(V)-31 b(a)g(r)16948 51215 y Fv(\032)17407 51326 y Fm(t)18015 50152 y Fs(\002)18476 51049 y Fx(W)19521 51215 y Fv(t)20096 50152 y Fs(\000)20603 51049 y Fk(E)21341 51215 y Fv(\032)21800 51326 y Fm(t)p Fo(+1)23353 51049 y Fz([)p Fx(')24384 51215 y Fv(t)p Ft(+1)26080 51049 y Fw(j)p Fx(\033)40 b Fz(\()p Fx(X)28407 51215 y Ft(1:)p Fv(t)29488 51049 y Fz(\))134 b(])246 b Fw(\000)424 b Fz(\026)-731 b Fx(')32436 50465 y Fv(\032)32895 50576 y Fm(t)p Fo(+1)32436 51344 y Fv(t)p Ft(+1)34264 50152 y Fs(\001\003)35417 51049 y Fz(+)15346 53174 y Fp(V)-31 b(a)g(r)16948 53340 y Fv(\031)17466 53451 y Fm(t)18073 52278 y Fs(\002)18534 53174 y Fk(E)19272 53340 y Fv(\032)19731 53451 y Fm(t)p Fo(+1)21284 53174 y Fz([)q Fx(')22316 53340 y Fv(t)p Ft(+1)24011 53174 y Fw(j)p Fx(\033)40 b Fz(\()p Fx(X)26338 53340 y Ft(1:)p Fv(t)27420 53174 y Fz(\))133 b(])28291 52278 y Fs(\003)28998 53174 y Fz(+)246 b Fk(E)30843 53340 y Fv(\032)31302 53451 y Fm(t)p Fo(+1)32855 52278 y Fs(\002)33316 53174 y Fp(V)-31 b(a)g(r)34918 53340 y Fv(\032)35377 53451 y Fm(t)p Fo(+1)36930 53174 y Fz([)p Fx(')37961 53340 y Fv(t)p Ft(+1)39657 53174 y Fw(j)p Fx(\033)40 b Fz(\()p Fx(X)41984 53340 y Ft(1:)p Fv(t)43066 53174 y Fz(\))133 b(])43936 52278 y Fs(\003)14485 56126 y Fz(=)16169 54742 y Fv(t)15536 55074 y Fs(X)15531 57458 y Fv(k)19 b Ft(=1)17325 56126 y Fp(V)-31 b(a)g(r)18927 56292 y Fv(\032)19386 56409 y Fm(k)20110 55229 y Fs(\002)20572 56126 y Fx(W)21617 56292 y Fv(k)22346 55229 y Fs(\000)22854 56126 y Fk(E)23592 56292 y Fv(\032)24051 56403 y Fm(t)p Fo(+1)25603 56126 y Fz([)q Fx(')26635 56292 y Fv(t)p Ft(+1)28330 56126 y Fw(j)q Fx(\033)40 b Fz(\()p Fx(X)30658 56292 y Ft(1:)p Fv(k)31894 56126 y Fz(\))133 b(])247 b Fw(\000)423 b Fz(\026)-730 b Fx(')34842 55542 y Fv(\032)35301 55653 y Fm(t)p Fo(+1)34842 56421 y Fv(t)p Ft(+1)36669 55229 y Fs(\001)q(\003)37822 56126 y Fz(+)15346 59266 y Fp(V)-31 b(a)g(r)16948 59432 y Fv(\032)17407 59543 y Fm(t)p Fo(+1)18960 59266 y Fz([)q Fx(')19992 59432 y Fv(t)p Ft(+1)21502 59266 y Fz(])6606 61617 y(all)370 b(that)h(remains)e(no)-31 b(w)370 b(is)f(the)h(correction)g(step:)11520 63968 y Fx(V)12166 64134 y Fv(t)p Ft(+1)13676 63968 y Fz(\()p Fx(')14830 64134 y Fv(t)p Ft(+1)16342 63968 y Fz(\))308 b(=)18386 63688 y Fs(e)18248 63968 y Fx(V)18894 64134 y Fv(t)p Ft(+1)20589 63072 y Fs(\000)21096 63968 y Fx(W)22141 64134 y Fv(t)p Ft(+1)23837 63072 y Fs(\000)24344 63968 y Fx(')25068 64134 y Fv(t)p Ft(+1)26825 63968 y Fw(\000)423 b Fz(\026)-730 b Fx(')28656 63384 y Fv(\031)29174 63495 y Fm(t)p Fo(+1)28656 64263 y Fv(t)p Ft(+1)30542 63072 y Fs(\001\001)15911 66920 y Fz(=)17594 65536 y Fv(t)16962 65868 y Fs(X)16957 68251 y Fv(k)19 b Ft(=1)18751 66920 y Fp(V)-31 b(a)g(r)20353 67086 y Fv(\032)20812 67203 y Fm(k)21536 66023 y Fs(\002)21997 66920 y Fx(W)23042 67086 y Fv(k)23587 66920 y Fk(E)24325 67086 y Fv(\032)24784 67197 y Fm(t)p Fo(+1)26337 66023 y Fs(\002)26799 66920 y Fx(W)27844 67086 y Fv(t)p Ft(+1)29539 66023 y Fs(\000)30047 66920 y Fx(')30771 67086 y Fv(t)p Ft(+1)32527 66920 y Fw(\000)424 b Fz(\026)-731 b Fx(')34358 66336 y Fv(\031)34876 66447 y Fm(t)p Fo(+1)34358 67215 y Fv(t)p Ft(+1)36244 66023 y Fs(\001)36936 66920 y Fw(j)p Fx(\033)40 b Fz(\()p Fx(X)39263 67086 y Ft(1:)p Fv(k)40500 66920 y Fz(\))41063 66023 y Fs(\003\003)42170 66920 y Fz(+)16772 70060 y Fp(V)-31 b(a)g(r)18374 70226 y Fv(\032)18833 70337 y Fm(t)p Fo(+1)20386 69164 y Fs(\002)20847 70060 y Fx(W)21892 70226 y Fv(t)p Ft(+1)23403 70060 y Fz(\()p Fx(')24557 70226 y Fv(t)p Ft(+1)26314 70060 y Fw(\000)424 b Fz(\026)-731 b Fx(')28145 69476 y Fv(\031)28663 69587 y Fm(t)p Fo(+1)28145 70355 y Fv(t)p Ft(+1)30031 70060 y Fz(\))30461 69164 y Fs(\003)15911 73012 y Fz(=)17594 71628 y Fv(t)16962 71960 y Fs(X)16957 74343 y Fv(k)19 b Ft(=1)18751 73012 y Fp(V)-31 b(a)g(r)20353 73178 y Fv(\032)20812 73295 y Fm(k)21536 72115 y Fs(\002)21997 73012 y Fx(W)23042 73178 y Fv(k)23772 72115 y Fs(\000)24279 73012 y Fk(E)25017 73178 y Fv(\031)25535 73289 y Fm(t)p Fo(+1)27088 73012 y Fz([)p Fx(')28119 73178 y Fv(t)p Ft(+1)29814 73012 y Fw(j)q Fx(\033)40 b Fz(\()p Fx(X)32142 73178 y Ft(1:)p Fv(k)33378 73012 y Fz(\))133 b(])247 b Fw(\000)423 b Fz(\026)-730 b Fx(')36326 72428 y Fv(\031)36844 72539 y Fm(t)p Fo(+1)36326 73307 y Fv(t)p Ft(+1)38212 72115 y Fs(\001\003)39365 73012 y Fz(+)16772 76152 y Fp(V)-31 b(a)g(r)18374 76318 y Fv(\032)18833 76429 y Fm(t)p Fo(+1)20386 75256 y Fs(\002)20847 76152 y Fx(W)21892 76318 y Fv(t)p Ft(+1)23403 76152 y Fz(\()p Fx(')24557 76318 y Fv(t)p Ft(+1)26314 76152 y Fw(\000)424 b Fz(\026)-731 b Fx(')28145 75568 y Fv(\031)28663 75679 y Fm(t)p Fo(+1)28145 76447 y Fv(t)p Ft(+1)30031 76152 y Fz(\))30461 75256 y Fs(\003)31108 76152 y Fx(:)p eop end %%Page: 24 24 TeXDict begin 24 23 bop 35397 -2214 a FD(A.)554 b(Inductiv)-28 b(e)342 b(Pro)28 b(ofs)2529 b(24)6606 1328 y Fz(This)369 b(completes)i(the)e(induction)i(argumen)-31 b(t.)6606 4857 y Fq(A.1.1)554 b(Standard)425 b(SIR)6606 7612 y Fz(Note)392 b(that)g(the)g(estimator)h(used)e(in)g(the)h(standard)f (SIR)g(algorithm)j(is)d(precisely)g(that)i(studied)6606 9405 y(in)369 b(prop)31 b(osition)371 b(A.1.1)g(in)f(whic)-31 b(h:)17770 12123 y Fx(\031)18401 12289 y Fv(t)18791 12123 y Fz(\()p Fx(dx)20430 12289 y Ft(1:)p Fv(t)21512 12123 y Fz(\))308 b(=)f Fx(p)p Fz(\()p Fx(dx)25614 12289 y Ft(1:)p Fv(t)26696 12123 y Fw(j)p Fx(y)27546 12289 y Ft(1:)p Fv(t)28628 12123 y Fz(\))17829 14248 y Fx(\032)18401 14414 y Fv(t)18791 14248 y Fz(\()p Fx(dx)20430 14414 y Ft(1:)p Fv(t)21512 14248 y Fz(\))h(=)f Fx(p)p Fz(\()p Fx(dx)25614 14414 y Ft(1:)p Fv(t)p Fu(\000)p Ft(1)27829 14248 y Fw(j)p Fx(y)28679 14414 y Ft(1:)p Fv(t)p Fu(\000)p Ft(1)30894 14248 y Fz(\))p Fx(q)40 b Fz(\()p Fx(dx)33497 14414 y Fv(t)33887 14248 y Fw(j)p Fx(x)34827 14414 y Fv(t)p Fu(\000)p Ft(1)36350 14248 y Fz(\))6606 16813 y(and,)544 b(as)g(alw)-31 b(a)g(ys,)546 b Fx(W)15843 16979 y Fv(t)16233 16813 y Fz(\()p Fx(x)17296 16979 y Ft(1:)p Fv(t)18378 16813 y Fz(\))599 b(=)20999 16359 y Fv(d\031)21978 16470 y Fm(t)p 20999 16558 1346 45 v 21028 17195 a Fv(d\032)21948 17306 y Fm(t)22478 16813 y Fz(\()p Fx(x)23541 16979 y Ft(1:)p Fv(t)24623 16813 y Fz(\).)544 b(Substituting)i(these)e(expressions)f(in)-31 b(to)545 b(equation)6606 18308 y(\(A.1\),)371 b(and)f(noting)h(that)f (all)h(of)e(the)h(v)-61 b(ariances)369 b(are)g(of)h(cen)-31 b(tred)369 b(quan)-31 b(tities,)372 b(w)-31 b(e)370 b(obtain:)8286 20597 y Fj(\033)8907 20118 y Fi(2)8871 20772 y Fh(S)35 b(I)51 b(S)35 b(R)11032 20597 y FD(\()p Fj(')12099 20708 y Fh(t)12471 20597 y FD(\))285 b(=)f Fj(V)14831 20708 y Fh(t)15204 20597 y FD(\()p Fj(')16271 20708 y Fh(t)16642 20597 y FD(\))7489 23276 y(=)8515 22027 y Fh(t)p Fe(\000)p Fi(1)8457 22329 y Fg(X)8456 24451 y Fh(k)14 b Fi(=1)10107 23276 y Fb(V)-28 b(a)g(r)11590 23387 y Fh(\032)12014 23543 y Fm(k)12724 23276 y FD([)q Fj(W)13976 23394 y Fh(k)14654 23276 y FD(\()q Fa(E)15717 23387 y Fh(\031)16200 23499 y Fm(t)16793 23276 y FD([)p Fj(')17746 23387 y Fh(t)18289 23276 y Ff(j)p Fj(\033)36 b FD(\()p Fj(X)20438 23394 y Fi(1:)p Fh(k)21586 23276 y FD(\))133 b(])228 b Ff(\000)391 b FD(\026)-675 b Fj(')24322 22797 y Fh(\031)24805 22909 y Fm(t)24322 23486 y Fh(t)25227 23276 y FD(\)])228 b(+)g Fb(V)-28 b(a)g(r)28644 23387 y Fh(\032)29068 23499 y Fm(t)29662 23276 y FD([)p Fj(W)30913 23387 y Fh(t)31285 23276 y FD(\()p Fj(')32352 23387 y Fh(t)32952 23276 y Ff(\000)391 b FD(\026)-675 b Fj(')34645 22797 y Fh(\031)35128 22909 y Fm(t)34645 23486 y Fh(t)35550 23276 y FD(\)])171 b Fj(:)7489 26501 y FD(=)8456 25145 y Fg(Z)9784 25856 y Fj(p)p FD(\()p Fj(x)11276 25967 y Fi(1)11738 25856 y Ff(j)p Fj(y)12526 25967 y Fi(1:)p Fh(t)13538 25856 y FD(\))13936 25432 y Fi(2)p 9784 26273 4614 43 v 10925 27177 a Fj(q)36 b FD(\()p Fj(x)12397 27288 y Fi(1)12858 27177 y FD(\))14701 25145 y Fg(Z)15895 26501 y FD(\()q Fj(')16963 26612 y Fh(t)17334 26501 y FD(\()p Fj(x)18312 26612 y Fi(1:)p Fh(t)19324 26501 y FD(\))228 b Ff(\000)392 b FD(\026)-676 b Fj(')21643 26612 y Fh(t)22015 26501 y FD(\))22413 26022 y Fi(2)23045 26501 y Fj(p)p FD(\()p Fj(x)24537 26612 y Fi(2:)p Fh(t)25549 26501 y Ff(j)p Fj(y)26337 26612 y Fi(2:)p Fh(t)27349 26501 y Fj(;)171 b(x)28384 26612 y Fi(1)28846 26501 y FD(\))p Fj(dx)30355 26612 y Fi(2:)p Fh(t)31367 26501 y Fj(dx)32478 26612 y Fi(1)32939 26501 y FD(+)8515 28407 y Fh(t)p Fe(\000)p Fi(1)8457 28710 y Fg(X)8456 30832 y Fh(k)14 b Fi(=2)10107 28300 y Fg(Z)14951 29011 y Fj(p)p FD(\()p Fj(x)16443 29129 y Fi(1:)p Fh(k)17592 29011 y Ff(j)p Fj(y)18380 29122 y Fi(1:)p Fh(t)19392 29011 y FD(\))19790 28588 y Fi(2)p 11434 29428 12335 43 v 11434 30332 a Fj(p)p FD(\()p Fj(x)12926 30450 y Fi(1:)p Fh(k)g Fe(\000)p Fi(1)15120 30332 y Ff(j)p Fj(y)15908 30450 y Fi(1:)p Fh(k)g Fe(\000)p Fi(1)18102 30332 y FD(\))p Fj(q)18958 30450 y Fh(k)19466 30332 y FD(\()p Fj(x)20444 30450 y Fh(k)20952 30332 y Ff(j)p Fj(x)21816 30450 y Fh(k)g Fe(\000)p Fi(1)23371 30332 y FD(\))24072 28300 y Fg(Z)25267 29656 y FD(\()p Fj(')26334 29767 y Fh(t)26706 29656 y FD(\()p Fj(x)27684 29767 y Fi(1:)p Fh(t)28696 29656 y FD(\))228 b Ff(\000)391 b FD(\026)-675 b Fj(')31015 29767 y Fh(t)31386 29656 y FD(\))31785 29178 y Fi(2)32416 29656 y Fj(p)p FD(\()p Fj(x)33908 29774 y Fh(k)14 b Fi(+1:)p Fh(t)35994 29656 y Ff(j)p Fj(y)36782 29774 y Fh(k)g Fi(+1:)p Fh(t)38869 29656 y Fj(;)171 b(x)39904 29774 y Fh(k)40412 29656 y FD(\))p Fj(dx)41921 29774 y Fh(k)14 b Fi(+1:)p Fh(t)44007 29656 y Fj(dx)45118 29774 y Fi(1:)p Fh(k)46266 29656 y FD(+)8456 31526 y Fg(Z)13029 32236 y Fj(p)p FD(\()p Fj(x)14521 32347 y Fi(1:)p Fh(t)15533 32236 y Ff(j)p Fj(y)16321 32347 y Fi(1:)p Fh(t)17333 32236 y FD(\))17731 31813 y Fi(2)p 9784 32654 11655 43 v 9784 33557 a Fj(p)p FD(\()p Fj(x)11276 33668 y Fi(1:)p Fh(t)p Fe(\000)p Fi(1)13333 33557 y Ff(j)p Fj(y)14121 33668 y Fi(1:)p Fh(t)p Fe(\000)p Fi(1)16179 33557 y FD(\))p Fj(q)17035 33668 y Fh(t)17407 33557 y FD(\()p Fj(x)18385 33668 y Fh(t)18758 33557 y Ff(j)p Fj(x)19622 33668 y Fh(t)p Fe(\000)p Fi(1)21040 33557 y FD(\))21742 32882 y(\()p Fj(')22809 32993 y Fh(t)23180 32882 y FD(\()p Fj(x)24158 32993 y Fi(1:)p Fh(t)25398 32882 y Ff(\000)392 b FD(\026)-676 b Fj(')27091 32993 y Fh(t)27463 32882 y FD(\))27861 32403 y Fi(2)28493 32882 y Fj(dx)29604 32993 y Fi(1:)p Fh(t)30615 32882 y Fj(;)6975 35470 y Fz(whic)-31 b(h)370 b(is)f(the)g(\014rst)g(part)h(of)f(prop)31 b(osition)371 b(2.2.1)6606 38999 y Fq(A.1.2)554 b(APF)425 b(via)e(SIR)6606 41753 y Fz(In)368 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Ft(1:)p Fv(k)19727 55135 y Fw(j)p Fx(y)20577 55301 y Ft(1:)p Fv(t)p Ft(+1)22780 55135 y Fz(\))23210 54733 y Ft(2)p 14188 55629 12202 45 v 14282 56643 a Fz(^)g Fx(p)p Fz(\()p Fx(x)15808 56809 y Ft(1:)p Fv(k)19 b Fu(\000)p Ft(1)18178 56643 y Fw(j)p Fx(y)19028 56809 y Ft(1:)p Fv(k)20264 56643 y Fz(\))p Fx(q)21188 56809 y Fv(k)21734 56643 y Fz(\()p Fx(x)22797 56809 y Fv(k)23341 56643 y Fw(j)p Fx(x)24281 56809 y Fv(k)g Fu(\000)p Ft(1)25959 56643 y Fz(\))26707 54323 y Fs(\022)27522 54377 y(Z)28813 55883 y Fx(')29537 56049 y Fv(t)29927 55883 y Fz(\()p Fx(x)30990 56049 y Ft(1:)p Fv(t)32072 55883 y Fz(\))94 b(^)-647 b Fx(p)p Fz(\()p Fx(x)34122 56049 y Fv(k)19 b Ft(+1:)p Fv(t)36373 55883 y Fw(j)p Fx(y)37223 56049 y Fv(k)g Ft(+1:)p Fv(t)p Ft(+1)40594 55883 y Fx(;)184 b(x)41718 56049 y Fv(k)42264 55883 y Fz(\))p Fx(dx)43903 56049 y Fv(k)19 b Ft(+1:)p Fv(t)46399 55883 y Fw(\000)424 b Fz(^)-731 b Fx(')48230 56049 y Fv(t)48620 54323 y Fs(\023)49435 54552 y Ft(2)50116 55883 y Fx(dx)51325 56049 y Ft(1:)p Fv(k)9862 59418 y Fz(+)10969 57912 y Fs(Z)14860 58669 y Fz(^)-647 b Fx(p)p Fz(\()p Fx(x)16386 58835 y Ft(1:)p Fv(t)17468 58669 y Fw(j)p Fx(y)18318 58835 y Ft(1:)p Fv(t)p Ft(+1)20521 58669 y Fz(\))20951 58268 y Ft(2)p 12393 59164 11428 45 v 12487 60178 a Fz(^)g Fx(p)p Fz(\()p Fx(x)14013 60344 y Ft(1:)p Fv(t)p Fu(\000)p Ft(1)16228 60178 y Fw(j)p Fx(y)17078 60344 y Ft(1:)p Fv(t)18160 60178 y Fz(\))p Fx(q)19084 60344 y Fv(t)19474 60178 y Fz(\()p Fx(x)20537 60344 y Fv(t)20927 60178 y Fw(j)p Fx(x)21867 60344 y Fv(t)p Fu(\000)p Ft(1)23390 60178 y Fz(\))24138 59418 y(\()p Fx(')25292 59584 y Fv(t)25682 59418 y Fz(\()p Fx(x)26745 59584 y Ft(1:)p Fv(t)27827 59418 y Fz(\))247 b Fw(\000)423 b Fz(^)-731 b Fx(')30334 59584 y Fv(t)30724 59418 y Fz(\))31155 58862 y Ft(2)31836 59418 y Fx(dx)33045 59584 y Ft(1:)p Fv(t)34126 59418 y Fx(:)6606 62258 y Fz(W)-92 b(e)486 b(can)h(obtain)i(the)e(corresp)31 b(onding)487 b(asymptotic)j(v)-61 b(ariance)488 b(for)f(the)g(imp)31 b(ortance)488 b(sampling)6606 64051 y(estimate)420 b(under)f Fx(p)f Fz(b)-31 b(y)420 b(an)f(additional)j(application)g(of)d (Chopin's)i(correction)e(lemma)i(\(A2\))f(as)6606 65845 y(this)425 b(imp)31 b(ortance)426 b(sampling)g(step)f(tak)-31 b(es)425 b(precisely)g(the)g(same)g(form)g(as)f(the)h(standard)g(one.)g (If)6606 67638 y(w)-31 b(e)368 b(do)f(this,)i(noting)g(that)g(in)f(our) f(case)g(this)h(imp)31 b(ortance)369 b(w)-31 b(eigh)g(t)370 b(function)f(is)e(prop)31 b(ortional)369 b(to)6652 69151 y Fs(f)6606 69431 y Fx(W)7651 69597 y Fv(t)8041 69431 y Fz(\()p Fx(x)9104 69597 y Ft(1:)p Fv(t)10186 69431 y Fz(\))308 b(=)f Fx(p)p Fz(\()p Fx(x)13712 69597 y Ft(1:)p Fv(t)14794 69431 y Fw(j)p Fx(y)15644 69597 y Ft(1:)p Fv(t)16726 69431 y Fz(\))p Fx(=)94 b Fz(^)-647 b Fx(p)p Fz(\()p Fx(x)19329 69597 y Ft(1:)p Fv(t)20411 69431 y Fw(j)p Fx(y)21261 69597 y Ft(1:)p Fv(t)p Ft(+1)23464 69431 y Fz(\),)370 b(w)-31 b(e)369 b(note)h(that:)19859 72149 y Fx(\033)20532 71692 y Ft(2)20492 72423 y Fv(AP)119 b(F)22576 72149 y Fz(\()p 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14576 y Fi(2)p 10228 15417 10270 43 v 10228 16321 a Fj(\026)10845 16432 y Fh(t)p Fe(\000)p Fi(1)12262 16321 y FD(\()p Fj(x)13240 16432 y Fh(t)p Fe(\000)p Fi(1)14658 16321 y FD(\))p Fj(K)15923 16432 y Fh(t)16296 16321 y FD(\()p Fj(x)17274 16432 y Fh(t)p Fe(\000)p Fi(1)18692 16321 y Fj(;)g(x)19727 16432 y Fh(t)20099 16321 y FD(\))20801 14541 y Fg(\020)21455 15393 y(f)21413 15645 y Fj(W)22380 15756 y Fh(t)22752 15645 y FD(\()p Fj(x)23730 15756 y Fh(t)24102 15645 y FD(\))p Fj(')25169 15756 y Fh(t)25541 15645 y FD(\()p Fj(x)26519 15756 y Fh(t)26892 15645 y FD(\))228 b Ff(\000)f Fa(E)29205 15756 y Fh(\026)29703 15868 y Fm(t)30297 14541 y Fg(h)31079 15393 y FD(~)30781 15645 y Fj(W)31748 15756 y Fh(t)32120 15645 y Fj(')32789 15756 y Fh(t)33160 14541 y Fg(i\021)34255 14773 y Fi(2)34887 15645 y Fj(dx)35998 15763 y Fh(k)14 b Fe(\000)p Fi(1:)p Fh(k)6853 18611 y FD(=)228 b(+)8901 17255 y Fg(Z)10254 17966 y(e)-595 b Fj(\031)10814 18077 y Fh(t)11186 17966 y FD(\()p Fj(x)12164 18077 y Fi(1)12626 17966 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y Fh(k)14 b Fe(\000)p Fi(1:)p Fh(k)7877 25014 y FD(+)8901 23658 y Fg(Z)10390 24368 y Fj(\031)10976 24479 y Fh(t)11348 24368 y FD(\()p Fj(x)12326 24479 y Fh(t)12699 24368 y FD(\))13097 23945 y Fi(2)13558 24368 y Fj(L)14255 24479 y Fh(t)p Fe(\000)p Fi(1)15673 24368 y FD(\()p Fj(x)16651 24479 y Fh(t)17023 24368 y Fj(;)171 b(x)18058 24479 y Fh(t)p Fe(\000)p Fi(1)19476 24368 y FD(\))19874 23945 y Fi(2)p 10228 24786 10270 43 v 10228 25689 a Fj(\026)10845 25800 y Fh(t)p Fe(\000)p Fi(1)12262 25689 y FD(\()p Fj(x)13240 25800 y Fh(t)p Fe(\000)p Fi(1)14658 25689 y FD(\))p Fj(K)15923 25800 y Fh(t)16296 25689 y FD(\()p Fj(x)17274 25800 y Fh(t)p Fe(\000)p Fi(1)18692 25689 y Fj(;)g(x)19727 25800 y Fh(t)20099 25689 y FD(\))20801 25014 y(\()p Fj(')21868 25125 y Fh(t)22240 25014 y FD(\()p Fj(x)23218 25125 y Fh(t)23591 25014 y FD(\))227 b Ff(\000)392 b FD(\026)-676 b Fj(')25909 24535 y Fh(\031)26392 24647 y Fm(t)25909 25223 y Fh(t)26814 25014 y FD(\))27213 24523 y Fi(2)27844 25014 y Fj(dx)28955 25132 y Fh(k)14 b Fe(\000)p Fi(1:)p Fh(k)31195 25014 y Fj(;)6975 27748 y Fz(whic)-31 b(h)370 b(is)f(precisely)g(the)h(result.)p eop end %%Trailer userdict /end-hook known{end-hook}if %%EOF