collisions
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collisions

Course Number: PHYSICS 542, Fall 2009

College/University: BU

Word Count: 156338

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All Rights Reserved) readonly def /FullName (CMMI8) readonly def /FamilyName (Computer Modern) readonly def /Weight (Medium) readonly def /ItalicAngle -14.04 def /isFixedPitch false def end readonly def /FontName /CMMI8 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 20 /kappa put dup 101 /e put dup 107 /k put dup 122 /z put readonly def /FontBBox{-24 -250 1110 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 dup 33 /arrowright put dup 49 /infinity put readonly def /FontBBox{-4 -948 1329 786}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 11 /alpha put dup 12 /beta put dup 13 /gamma put dup 15 /epsilon1 put dup 20 /kappa put dup 22 /mu put dup 25 /pi put dup 27 /sigma put dup 28 /tau put dup 59 /comma put dup 61 /slash put dup 66 /B put dup 100 /d put dup 101 /e put dup 107 /k put dup 108 /l put dup 109 /m put dup 110 /n put dup 112 /p put dup 116 /t put dup 118 /v put dup 119 /w put dup 122 /z put readonly def /FontBBox{11 -250 1241 750}readonly def currentdict end currentfile eexec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40869B713C400275D374B7A15761DECB3AD8B85EA9972047616AD322D31BB6EF F8FAD7AD14D0727B483A175307E3B8A602BC9F37D0762BB7D0BEDB8323356355 AB5633345B4F3FA60A66A7F089896B388C32DB9B2C4151D43F76F5B20BC28F47 DD519F6B3BE6A94DA4531602A83B1A2A4BD20D1FE4908F9624521786ADD6581C 2AD59BABCB85A15FE6E3A2E54578AFA651745470C5F9265D348B1904EFC0B9C9 09DB8C3FF60AE90FFDABA49F92419DE883B46A69C7078E8FBCB03BE0E79DB2F8 6DFD36B1E961DA127ECDDA0F1CC1F3C1044EF17C38943D341B71E1BB5017D112 C777E01147413E3428A7E673D8A8EF26E53349CAF43FA1A51DB830A5FBEDCCF2 2DE82F189D3F115D15FBB259C208A5C7267F46BA94F510C76C2358EB6DC236C1 B3FE7A963ACF6D961FF307A346CB1AFDB00650E601DA1D9ABD54390763D1981E 91F9558E22FD6D3DC1154178D5825934CF5DE44E55268573A24DA128D8B7ADA0 9CD36B9D2B35F684BE165812329AC5F7A9EAE1704C2F78E76163AE6437CDD59F 396D0D0FF8F9D6377DA06065CBF7CE700758709BB84FC7FA74BC301F12ABD70F 2045330185DFA9D9AFBFA759DDE881CFE1FB60D94F2D8981C28D8FF5794496BB 3DEC594180FA7EED9C8BDE30D652097619B1AAF4EE09709D62A2E419AD18F4D1 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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 6 /plusminus put dup 17 /equivalence put dup 24 /similar put dup 33 /arrowright put dup 39 /similarequal put dup 49 /infinity put dup 104 /angbracketleft put dup 105 /angbracketright put dup 112 /radical put readonly def /FontBBox{-30 -958 1146 777}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 13 /gamma put dup 15 /epsilon1 put dup 17 /eta put dup 21 /lambda put dup 22 /mu put dup 27 /sigma put dup 28 /tau put dup 58 /period put dup 59 /comma put dup 60 /less put dup 61 /slash put dup 67 /C put dup 70 /F put dup 71 /G put dup 74 /J put dup 77 /M put dup 80 /P put dup 81 /Q put dup 82 /R 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 107 /k put dup 109 /m put dup 110 /n put dup 112 /p put dup 116 /t put dup 118 /v put dup 122 /z put readonly def /FontBBox{-29 -250 1075 750}readonly def currentdict end currentfile eexec 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89E3A756E2379445F06B2F649B6665CB973CEC2075058EA87F4B44D9C8D67492 54AA8F6A9B2429F00A387E2135 0000000000000000000000000000000000000000000000000000000000000000 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 0 /Gamma put dup 8 /Phi put dup 12 /fi put dup 13 /fl put dup 14 /ffi put dup 40 /parenleft put dup 41 /parenright put dup 43 /plus put dup 44 /comma put dup 45 /hyphen put dup 46 /period put dup 48 /zero put dup 49 /one put dup 50 /two put dup 51 /three put dup 52 /four put dup 53 /five put dup 54 /six put dup 56 /eight put dup 57 /nine put dup 61 /equal put dup 63 /question put dup 65 /A 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 76 /L put dup 77 /M put dup 79 /O put dup 83 /S put dup 84 /T put dup 85 /U put dup 86 /V put dup 87 /W put dup 91 /bracketleft put dup 93 /bracketright put dup 97 /a put dup 98 /b put dup 99 /c put dup 100 /d put dup 101 /e put dup 102 /f put dup 103 /g put dup 104 /h put dup 105 /i put dup 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{-39 -250 1036 750}readonly def currentdict end currentfile eexec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% 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 (CMBX7) readonly def /FamilyName (Computer Modern) readonly def /Weight (Bold) readonly def /ItalicAngle 0 def /isFixedPitch false def end readonly def /FontName /CMBX7 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 118 /v put readonly def /FontBBox{-55 -250 1289 751}readonly def currentdict end currentfile eexec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cleartomark %%EndFont %%BeginFont: CMSY5 %!PS-AdobeFont-1.1: CMSY5 1.0 %%CreationDate: 1991 Aug 15 07:21:16 % Copyright (C) 1997 American Mathematical Society. All Rights Reserved. 11 dict begin /FontInfo 7 dict dup begin /version (1.0) readonly def /Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def /FullName (CMSY5) readonly def /FamilyName (Computer Modern) readonly def /Weight (Medium) readonly def /ItalicAngle -14.035 def /isFixedPitch false def end readonly def /FontName /CMSY5 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 0 /minus put dup 3 /asteriskmath put 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 61 /slash put dup 108 /l put dup 109 /m put dup 110 /n 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: CMR8 %!PS-AdobeFont-1.1: CMR8 1.0 %%CreationDate: 1991 Aug 20 16:39:40 % Copyright (C) 1997 American Mathematical Society. All Rights Reserved. 11 dict begin /FontInfo 7 dict dup begin /version (1.0) readonly def /Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def /FullName (CMR8) readonly def /FamilyName (Computer Modern) readonly def /Weight (Medium) readonly def /ItalicAngle 0 def /isFixedPitch false def end readonly def /FontName /CMR8 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 11 /ff put dup 39 /quoteright put dup 44 /comma put dup 46 /period put dup 48 /zero put dup 49 /one put dup 59 /semicolon put dup 61 /equal put dup 66 /B put dup 70 /F put dup 73 /I put dup 84 /T put dup 87 /W put dup 97 /a put dup 98 /b put dup 99 /c put dup 100 /d put dup 101 /e put dup 102 /f put dup 103 /g put dup 104 /h put dup 105 /i put dup 108 /l put dup 109 /m put dup 110 /n put dup 111 /o put dup 112 /p put dup 114 /r put dup 115 /s put dup 116 /t put dup 117 /u put dup 118 /v put dup 119 /w put dup 121 /y put dup 122 /z put readonly def /FontBBox{-36 -250 1070 750}readonly def currentdict end currentfile eexec 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0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 cleartomark %%EndFont %%BeginFont: CMR6 %!PS-AdobeFont-1.1: CMR6 1.0 %%CreationDate: 1991 Aug 20 16:39:02 % Copyright (C) 1997 American Mathematical Society. All Rights Reserved. 11 dict begin /FontInfo 7 dict dup begin /version (1.0) readonly def /Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def /FullName (CMR6) readonly def /FamilyName (Computer Modern) readonly def /Weight (Medium) readonly def /ItalicAngle 0 def /isFixedPitch false def end readonly def /FontName /CMR6 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 33 /exclam put dup 40 /parenleft put dup 41 /parenright put dup 43 /plus put dup 48 /zero put dup 49 /one put dup 50 /two put dup 51 /three put dup 52 /four put dup 61 /equal put readonly def /FontBBox{-20 -250 1193 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 49 /one put dup 50 /two put dup 51 /three put dup 52 /four put dup 53 /five put readonly def /FontBBox{-341 -250 1304 965}readonly def currentdict end currentfile eexec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cleartomark %%EndFont %%BeginFont: CMSY7 %!PS-AdobeFont-1.1: CMSY7 1.0 %%CreationDate: 1991 Aug 15 07:21:52 % Copyright (C) 1997 American Mathematical Society. All Rights Reserved. 11 dict begin /FontInfo 7 dict dup begin /version (1.0) readonly def /Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def /FullName (CMSY7) readonly def /FamilyName (Computer Modern) readonly def /Weight (Medium) readonly def /ItalicAngle -14.035 def /isFixedPitch false def end readonly def /FontName /CMSY7 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 0 /minus put dup 3 /asteriskmath 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: 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 2 /bracketleftbig put dup 3 /bracketrightbig 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 34 /bracketleftBigg put dup 35 /bracketrightBigg put dup 40 /braceleftBigg put dup 48 /parenlefttp put dup 49 /parenrighttp put dup 64 /parenleftbt put dup 65 /parenrightbt put dup 82 /integraltext put dup 88 /summationdisplay put dup 89 /productdisplay put dup 90 /integraldisplay put dup 104 /bracketleftBig put dup 105 /bracketrightBig put dup 112 /radicalbig put readonly def /FontBBox{-24 -2960 1454 772}readonly def currentdict end currentfile eexec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cleartomark %%EndFont %%BeginFont: CMBX12 %!PS-AdobeFont-1.1: CMBX12 1.0 %%CreationDate: 1991 Aug 20 16:34:54 % Copyright (C) 1997 American Mathematical Society. All Rights Reserved. 11 dict begin /FontInfo 7 dict dup begin /version (1.0) readonly def /Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def /FullName (CMBX12) readonly def /FamilyName (Computer Modern) readonly def /Weight (Bold) readonly def /ItalicAngle 0 def /isFixedPitch false def end readonly def /FontName /CMBX12 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 11 /ff put dup 14 /ffi put dup 39 /quoteright put dup 40 /parenleft put dup 41 /parenright put dup 45 /hyphen put dup 46 /period put dup 49 /one put dup 50 /two put dup 51 /three put dup 52 /four put dup 53 /five put dup 65 /A put dup 66 /B put dup 67 /C put dup 68 /D put dup 69 /E put dup 70 /F put dup 71 /G put dup 72 /H put dup 73 /I put dup 74 /J put dup 76 /L put dup 77 /M put dup 78 /N put dup 79 /O put dup 83 /S put dup 84 /T put dup 97 /a put dup 98 /b put dup 99 /c put dup 100 /d put dup 101 /e put dup 102 /f put dup 103 /g put dup 104 /h put dup 105 /i put dup 107 /k 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 119 /w put dup 120 /x put dup 122 /z put readonly def /FontBBox{-53 -251 1139 750}readonly def currentdict end currentfile eexec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All Rights Reserved. 11 dict begin /FontInfo 7 dict dup begin /version (1.00B) readonly def /Notice (Copyright (C) 1997 American Mathematical Society. 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0000000000000000000000000000000000000000000000000000000000000000 cleartomark %%EndFont %%BeginFont: CMR7 %!PS-AdobeFont-1.1: CMR7 1.0 %%CreationDate: 1991 Aug 20 16:39:21 % Copyright (C) 1997 American Mathematical Society. All Rights Reserved. 11 dict begin /FontInfo 7 dict dup begin /version (1.0) readonly def /Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def /FullName (CMR7) readonly def /FamilyName (Computer Modern) readonly def /Weight (Medium) readonly def /ItalicAngle 0 def /isFixedPitch false def end readonly def /FontName /CMR7 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 1 /Delta put dup 40 /parenleft put dup 41 /parenright put dup 43 /plus put dup 48 /zero put dup 49 /one put dup 50 /two put dup 51 /three put dup 52 /four put dup 61 /equal put dup 104 /h put dup 116 /t put readonly def /FontBBox{-27 -250 1122 750}readonly def currentdict end currentfile eexec D9D66F633B846A97B686A97E45A3D0AA052A014267B7904EB3C0D3BD0B83D891 016CA6CA4B712ADEB258FAAB9A130EE605E61F77FC1B738ABC7C51CD46EF8171 9098D5FEE67660E69A7AB91B58F29A4D79E57022F783EB0FBBB6D4F4EC35014F D2DECBA99459A4C59DF0C6EBA150284454E707DC2100C15B76B4C19B84363758 469A6C558785B226332152109871A9883487DD7710949204DDCF837E6A8708B8 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70C48833F44511BA6ECD2E88FD812A64BB15501CF503ADCF3C4B847DE121397A CE5B642BD0D99AC1B9F85B37939788EA0A977F097D9D8AC0910C7628E9F7C3CE 167CD34F19415C71874281866EF3BB08BFBAB5D54998E45912CC0C89325E737C 8073FB9DBC14DB5A5DA346FEA195986DEFEA6558030E5BC245C6513FA4CF02AF E6E0BEF482259FC130851F5F537F25CBDEA4C0099D1F0E6345EE379D6D93E6A5 8C3FA8B6512C9483AFA8560AC88917F58380C78F22A5D39B84C7A7684DEFB163 B736F2A773F0C1E28BEDAF3C6E336C163321A76BC84283452D9B2B8717441C81 87E91FCDD189DD5C3C31B1C8557052E5FB606C31E58E2B67FD2F7706FACF4687 57E2815A9CC722DBB4E247FB9F4494C5C524EF7E54B27EB8A608885BF2F7FF70 3999FF9397438C14A784120EF82A3B4FD8C5F2F98C68BB1FCB0764D28AC0880A E03C5C96CF3651E0259A02DC6E117E7D0F82D6BFCF5CA797FA8F5447CE3B3C0B 1066C6A9D3E4536F879B366CFC79C3E79C16CED84501BDDFB5F5766EB53D06A5 2A134FA4AED09F7B1A4FBE7B6C2ED217932DBD096FA25118520BA87CD37F529F 9E2E708397079B513A637E055E94A9C88FBABBAE8031415D9087D4C757FC607A 330599DBC8D6406163A34E9B83FE9C288B413EC9951E0D3C8B9B6C3A6599A24E 833D6A86A0016E59E933D84B6B68DDD9F7387288F30CC288EED245BAFA56830A 08765CF4A9EB8C19C311871E83C73211449018A06B3AF9B40351D2400993CF6E A9C269F884F1692A1F7F4A7E3A2686A15FFAB424464A50FAF689A6692375FFEA 142D380BE480C8571FD8152B62C78ED64B5C57680FEA9754BF71D352F28781A5 80818FB3161F8F3C1946690F4E7079FAA2797F97B1770A84915410BA4BE99D11 289D9D507E9F7ED0E4DF67817D0F68E6EE05C9AC9ECB0458E49DDB6329EC2A67 86723ACFB3FDE55D527F4097969E8154B7BA434B0A6FDA4C17B6C21DBEDFB8E0 0154BB156843EB8CC80B38A3AE84BF97472ECA3846C1BE6C92FF28411BB206EC 1C8D0FDBDA09EF3719BA5D449859723CDD9C3691631B9B722670E437BCC2DB3E 14970FD58A87415E8D09BE2D27E1999FB536E2614985C35A36853A8E20CB56AD AF6B5C34EB539C0C6584D0D096E8AF1E66934BEEF3DD84070B122013EC695F33 80DD8EB78F7AF2AF21A5C8A1200003E83C5AB7563B1E56925D47D7A3FE3C0225 31F639E9EE05D46EAC75A22BE35168DC56E1B780B422E03DE19C58F6EEEEC131 39D23D05CDEC1EEBC45A46A7A2E1A8E5 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 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 12 /beta put dup 13 /gamma put dup 14 /delta put dup 22 /mu put dup 59 /comma put dup 60 /less put dup 61 /slash put dup 62 /greater put dup 65 /A put dup 69 /E put dup 84 /T put dup 97 /a put dup 98 /b put dup 99 /c put dup 100 /d put dup 102 /f put dup 105 /i put dup 106 /j put dup 107 /k put dup 108 /l put dup 109 /m put dup 110 /n put dup 114 /r put dup 116 /t put dup 118 /v put dup 119 /w put dup 120 /x put dup 121 /y put dup 122 /z put readonly def /FontBBox{0 -250 1171 750}readonly def currentdict end currentfile eexec D9D66F633B846A97B686A97E45A3D0AA0529731C99A784CCBE85B4993B2EEBDE 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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 2 /multiply put dup 6 /plusminus put dup 7 /minusplus put dup 17 /equivalence put dup 20 /lessequal put dup 21 /greaterequal put dup 24 /similar put dup 25 /approxequal put dup 28 /lessmuch put dup 29 /greatermuch put dup 33 /arrowright put dup 39 /similarequal put dup 47 /proportional put dup 49 /infinity put dup 80 /P put dup 102 /braceleft put dup 103 /braceright put dup 104 /angbracketleft put dup 105 /angbracketright 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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4962BC428320D924CB0D4BE15813333C6C1771F00F67 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 cleartomark %%EndFont %%BeginFont: CMMI10 %!PS-AdobeFont-1.1: CMMI10 1.100 %%CreationDate: 1996 Jul 23 07:53:57 % Copyright (C) 1997 American Mathematical Society. All Rights Reserved. 11 dict begin /FontInfo 7 dict dup begin /version (1.100) readonly def /Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def /FullName (CMMI10) readonly def /FamilyName (Computer Modern) readonly def /Weight (Medium) readonly def /ItalicAngle -14.04 def /isFixedPitch false def end readonly def /FontName /CMMI10 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 11 /alpha put dup 12 /beta put dup 13 /gamma put dup 14 /delta put dup 15 /epsilon1 put dup 21 /lambda put dup 22 /mu put dup 24 /xi put dup 25 /pi put dup 27 /sigma put dup 28 /tau put dup 58 /period put dup 59 /comma put dup 60 /less put dup 61 /slash put dup 62 /greater put dup 64 /partialdiff put dup 65 /A put dup 66 /B put dup 68 /D put dup 69 /E put dup 70 /F put dup 75 /K put dup 77 /M put dup 78 /N put dup 80 /P put dup 82 /R put dup 84 /T put dup 85 /U put dup 96 /lscript put dup 97 /a put dup 98 /b put dup 99 /c put dup 100 /d put dup 101 /e put dup 102 /f put dup 105 /i put dup 107 /k put dup 109 /m put dup 110 /n put dup 112 /p put dup 114 /r put dup 116 /t put dup 117 /u put dup 118 /v put dup 119 /w put dup 120 /x put dup 122 /z put readonly def /FontBBox{-32 -250 1048 750}readonly def currentdict end currentfile eexec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cleartomark %%EndFont %%BeginFont: CMSL10 %!PS-AdobeFont-1.1: CMSL10 1.0 %%CreationDate: 1991 Aug 20 16:40:20 % 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 (CMSL10) readonly def /FamilyName (Computer Modern) readonly def /Weight (Medium) readonly def /ItalicAngle -9.46 def /isFixedPitch false def end readonly def /FontName /CMSL10 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 51 /three put dup 52 /four put dup 53 /five 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 readonly def /FontBBox{-62 -250 1123 750}readonly def currentdict end currentfile eexec D9D66F633B846A97B686A97E45A3D0AA0529731C99A784CCBE85B4993B2EEBDE 3B12D472B7CF54651EF21185116A69AB1096ED4BAD2F646635E019B6417CC77B 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0000000000000000000000000000000000000000000000000000000000000000 cleartomark %%EndFont %%BeginFont: CMR10 %!PS-AdobeFont-1.1: CMR10 1.00B %%CreationDate: 1992 Feb 19 19:54:52 % Copyright (C) 1997 American Mathematical Society. All Rights Reserved. 11 dict begin /FontInfo 7 dict dup begin /version (1.00B) readonly def /Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def /FullName (CMR10) readonly def /FamilyName (Computer Modern) readonly def /Weight (Medium) readonly def /ItalicAngle 0 def /isFixedPitch false def end readonly def /FontName /CMR10 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 0 /Gamma put dup dup dup dup dup dup dup dup dup dup dup dup dup dup dup dup dup dup dup dup dup dup dup dup dup dup dup dup dup dup dup dup dup dup dup dup dup dup dup dup dup dup dup dup dup dup dup dup dup dup dup dup dup dup dup dup dup dup dup 1 /Delta put 8 /Phi put 10 /Omega put 11 /ff put 12 /fi put 13 /fl put 14 /ffi put 33 /exclam put 34 /quotedblright put 38 /ampersand put 39 /quoteright put 40 /parenleft put 41 /parenright put 43 /plus put 44 /comma put 45 /hyphen put 46 /period put 48 /zero put 49 /one put 50 /two put 51 /three put 52 /four put 53 /five put 54 /six put 55 /seven put 56 /eight put 57 /nine put 58 /colon put 59 /semicolon put 61 /equal put 63 /question put 65 /A put 66 /B put 67 /C put 69 /E put 70 /F put 71 /G put 72 /H put 73 /I put 76 /L put 77 /M put 78 /N put 79 /O put 80 /P put 82 /R put 83 /S put 84 /T put 85 /U put 87 /W put 91 /bracketleft put 92 /quotedblleft put 93 /bracketright put 95 /dotaccent put 97 /a put 98 /b put 99 /c put 100 /d put 101 /e put 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 124 /emdash put readonly def /FontBBox{-251 -250 1009 969}readonly def currentdict end currentfile eexec D9D66F633B846A97B686A97E45A3D0AA052A014267B7904EB3C0D3BD0B83D891 016CA6CA4B712ADEB258FAAB9A130EE605E61F77FC1B738ABC7C51CD46EF8171 9098D5FEE67660E69A7AB91B58F29A4D79E57022F783EB0FBBB6D4F4EC35014F 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0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 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 33 /exclam put dup 39 /quoteright put dup 45 /hyphen put dup 46 /period put dup 63 /question put dup 70 /F put dup 71 /G put dup 73 /I put dup 80 /P put dup 83 /S 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 114 /r put dup 115 /s put dup 116 /t put dup 117 /u put dup 118 /v put dup 119 /w put dup 120 /x put dup 121 /y put readonly def /FontBBox{-301 -250 1164 946}readonly def currentdict end currentfile eexec 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1966 1869 1 rf 250 255 r3 3421 1966 1869 1 @C , 4q3:`Pjg.7aQc9SfL+VLF#X?I_/_MCbVB4'TFVL<[,?6o#(]A!ct*e+.EK^QL,+rN)@Ar%_@]UD ,(hi[JHXr3Ho[Q]jEI7WTGrC~> K 3421 1967 1869 1 rf 250 255 r3 3421 1967 1869 1 @C , 4q3:`Pjg.7aQc9SfL+VLF#X?I_/_MCbVB4'TFVL<[,?6o#(]A!ct*e+.EK^QL,+rN)@Ar%_@]UD ,(hi[JHXr3Ho[Q]jEI7WTGrC~> K 3421 1965 1869 1 rf 250 255 r3 3421 1965 1869 1 @C , 4<$eAOO+q;69%HO*sKuLn5IDi)J9-p)bg>%<BEq\`PBh?b`78#76%3?0QM-/5\1KR7)4C/)1s(7 ']9T?%)XdN1CALsiQf^YBEmA~> K 3421 1964 1869 1 rf 250 255 r3 3421 1964 1869 1 @C , 3!tAU9[GZ>Z'us=:BlF1)DVj]$\go`RLubd1rt>LM!uSW1^8$]3W^:]Tb!Qq+S[QbSd`JtA5EOi 6uc"T+X#'^OhfcAAY0EQ0W2l;$:,QZ'H."^~> K 3421 1963 1869 1 rf 250 255 r3 3421 1963 1869 1 @C , /dI-)TPG6pClANU%:i-f6TLPV"2dZgaAC1f-NcUb1E"OZQOqN"j#A3dfR>^rUmRrS23%bf5Z2PP 1CU%ofObieV#Z1QM#iic%KH~> K 3421 1962 1869 1 rf 250 255 r3 3421 1962 1869 1 @C , ,D"gRBH"i4bQ`]-ejRD$1`mt#G\NE+KoGMAE&7`^5u*)<A3e9<cN@>>ef_km+?VFe!gA1DQt;`q kJIL4:(6=l9#a[FKu>kg?i~> K 3421 1961 1869 1 rf 250 255 r3 3421 1961 1869 1 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1869 1 rf 250 255 r3 3421 1932 1869 1 @C , -D5]A"?^44-!<;S6(IJ4"jMVW[Wi;lbQ^=G-ise[,&H0f)?rGD-Nh8&bR"^\BT*:G69rWEL7j=G o/%$*;Do[,+dd?7OCpg2AjiSYN4:AX#^d-c+Mo*&#iZI$Hnp]ji#@1~> K 3421 1931 1869 1 rf 250 255 r3 3421 1931 1869 1 @C , -D7_P-NlPfX@a?^%-Q=%kJ6S(4rGK9TJK20HTVYT@?;?pi-9+-!?pse-R/XfN.rc##^$^'T4WZn #XH6<_@qSdbo*GfSf&spn3"q1n3RO^5]^E\%/=BQ'\FB*~> K 3421 1930 1869 1 rf 250 255 r3 3421 1930 1869 1 @C , -D4CT"=aiDM,P^OT_ghkp`9mA@?M)B"#-*T5ZTZLJBL+]L=ng3&]'^ULuA[#TMh<l_Am1)''=R/ 5f#&_8-ifIq&V=oC(cZ$"3et)%Kbh7bYpd)`_\,R4;r_~> K 3421 1929 1869 1 rf 250 255 r3 3421 1929 1869 1 @C , -D4CT%TE^O4"qQ`RGarMGW(tE88KOU@5,uWY';]&T\(:m`di:l*sN%%Vc"oKCsNGSRINteJhS1! &Bm0)$^hPE7&4J2o.pQ&i9,i,.A0W#8.b83%6s~> K 3421 1928 1869 1 rf 250 255 r3 3421 1928 1869 1 @C , -D7YCLEQ^<Nm%M.A:,Pf*Y"uTOrF].QpF!]beu[ML/Ht`&<dT=),V91W/Us:"j"Kq+=Z59i8jD: )@96<!:quMKAi2B6f<a@coJm/J9YH~> K 3421 1926 1869 1 rf 250 255 r3 3421 1926 1869 1 @C , -D7Y["<dbt["3gK:B`oeK5$]`K5uLd,m`-@N6G3S=?$a9!ZA9\EZem`Lq+CTkMngJJAHbWbeU*1 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setlinewidth 9 setlinewidth 434 375 m 434 1775 l 2115 1775 l 2115 375 l 434 375 l s 1 setlinewidth end showpage %%Trailer %%EndDocument @endspecial 1768 w @beginspecial 26 @llx 38 @lly 516 @urx 426 @ury 1755 @rwi @setspecial %%BeginDocument: figs/coll-pv2dlog.eps %!PS-Adobe-2.0 EPSF-1.2 %%BoundingBox: 26 38 516 426 %%Title: c9-pv2dlog.eps %%Creator: xmgr %%CreationDate: Sun Mar 14 22:23:23 2004 %%EndComments 80 dict begin /languagelevel where {pop /gs_languagelevel languagelevel def} {/gs_languagelevel 1 def} ifelse gs_languagelevel 1 gt { <</PaintType 1 /PatternType 1 /TilingType 1 /BBox [0 0 12 12] /XStep 12 /YStep 12 /PaintProc{ begin 12 12 scale 16 16 1 [16 0 0 16 0 0] {<0000000000000000000000000000000000000000000000000000000000000000>} image end } >> matrix makepattern /Pat0 exch def <</PaintType 1 /PatternType 1 /TilingType 1 /BBox [0 0 12 12] /XStep 12 /YStep 12 /PaintProc{ begin 12 12 scale 16 16 1 [16 0 0 16 0 0] {<1111000044440000111100004444000011110000444400001111000044440000>} image end } >> matrix makepattern /Pat1 exch def <</PaintType 1 /PatternType 1 /TilingType 1 /BBox [0 0 12 12] /XStep 12 /YStep 12 /PaintProc{ begin 12 12 scale 16 16 1 [16 0 0 16 0 0] {<1111444411114444111144441111444411114444111144441111444411114444>} image end } >> matrix makepattern /Pat2 exch def <</PaintType 1 /PatternType 1 /TilingType 1 /BBox [0 0 12 12] /XStep 12 /YStep 12 /PaintProc{ begin 12 12 scale 16 16 1 [16 0 0 16 0 0] {<aaaa5555aaaa5555aaaa5555aaaa5555aaaa5555aaaa5555aaaa5555aaaa5555>} image >> matrix makepattern /Pat3 exch def <</PaintType 1 /PatternType 1 /TilingType 1 /BBox [0 0 12 12] /XStep 12 /YStep 12 /PaintProc{ begin 12 12 scale 16 16 1 [16 0 0 16 0 0] {<eeeebbbbeeeebbbbeeeebbbbeeeebbbbeeeebbbbeeeebbbbeeeebbbbeeeebbbb>} image >> matrix makepattern /Pat4 exch def <</PaintType 1 /PatternType 1 /TilingType 1 /BBox [0 0 12 12] /XStep 12 /YStep 12 /PaintProc{ begin 12 12 scale 16 16 1 [16 0 0 16 0 0] {<eeeeffffbbbbffffeeeeffffbbbbffffeeeeffffbbbbffffeeeeffffbbbbffff>} image >> matrix makepattern /Pat5 exch def <</PaintType 1 /PatternType 1 /TilingType 1 /BBox [0 0 12 12] /XStep 12 /YStep 12 /PaintProc{ begin 12 12 scale 16 16 1 [16 0 0 16 0 0] {<f77dffffbeeffffff77dffffbeeffffff77dffffbeeffffff77dffffbeefffff>} image >> matrix makepattern /Pat6 exch def <</PaintType 1 /PatternType 1 /TilingType 1 /BBox [0 0 12 12] /XStep 12 /YStep 12 /PaintProc{ begin 12 12 scale 16 16 1 [16 0 0 16 0 0] {<ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff>} image >> matrix makepattern /Pat7 exch def <</PaintType 1 /PatternType 1 /TilingType 1 /BBox [0 0 12 12] /XStep 12 /YStep 12 /PaintProc{ begin 12 12 scale 16 16 1 [16 0 0 16 0 0] {<e1e1f0f078783c3c1e1e0f0f8787c3c3e1e1f0f078783c3c1e1e0f0f8787c3c3>} image >> matrix makepattern /Pat8 exch def <</PaintType 1 /PatternType 1 /TilingType 1 /BBox [0 0 12 12] /XStep 12 /YStep 12 /PaintProc{ begin 12 12 scale 16 16 1 [16 0 0 16 0 0] {<87870f0f1e1e3c3c7878f0f0e1e1c3c387870f0f1e1e3c3c7878f0f0e1e1c3c3>} image >> matrix makepattern /Pat9 exch def <</PaintType 1 /PatternType 1 /TilingType 1 /BBox [0 0 12 12] /XStep 12 /YStep 12 /PaintProc{ begin 12 12 scale 16 16 1 [16 0 0 16 0 0] {<cccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccc>} image >> matrix makepattern /Pat10 exch def <</PaintType 1 /PatternType 1 /TilingType 1 /BBox [0 0 12 12] /XStep 12 /YStep 12 /PaintProc{ begin 12 12 scale 16 16 1 [16 0 0 16 0 0] {<00000000ffffffff00000000ffffffff00000000ffffffff00000000ffffffff>} image >> matrix makepattern /Pat11 exch def <</PaintType 1 /PatternType 1 /TilingType 1 /BBox [0 0 12 12] /XStep 12 /YStep 12 /PaintProc{ begin 12 12 scale 16 16 1 [16 0 0 16 0 0] {<7e7ebdbddbdbe7e7e7e7dbdbbdbd7e7e7e7ebdbddbdbe7e7e7e7dbdbbdbd7e7e>} image >> matrix makepattern /Pat12 exch def <</PaintType 1 /PatternType 1 /TilingType 1 /BBox [0 0 12 12] /XStep 12 /YStep 12 /PaintProc{ begin 12 12 scale 16 16 1 [16 0 0 16 0 0] {<fd7e7ebfbfdfdfefeff7f7fbfbfdfd7e7ebfbfdfdfefeff7f7fbfbfdfd7e7ebf>} image >> matrix makepattern /Pat13 exch def <</PaintType 1 /PatternType 1 /TilingType 1 /BBox [0 0 12 12] /XStep 12 /YStep 12 /PaintProc{ begin 12 12 scale 16 16 1 [16 0 0 16 0 0] end } end } end } end } end } end } end } end } end } end } end } {<7ebffd7efbfdf7fbeff7dfefbfdf7ebffd7efbfdf7fbeff7dfefbfdf7ebffd7e>} image end } >> matrix makepattern /Pat14 exch def <</PaintType 1 /PatternType 1 /TilingType 1 /BBox [0 0 12 12] /XStep 12 /YStep 12 /PaintProc{ begin 12 12 scale 16 16 1 [16 0 0 16 0 0] {<fffffbdff3dfebdfdbdfbbdf7bdffbdefbddfbdbfbd7fbcffbdfffffffffffff>} image end } >> matrix makepattern /Pat15 exch def }{ /Pat0 { 0.000000 setgray } def /Pat1 { 0.062500 setgray } def /Pat2 { 0.125000 setgray } def /Pat3 { 0.187500 setgray } def /Pat4 { 0.250000 setgray } def /Pat5 { 0.312500 setgray } def /Pat6 { 0.375000 setgray } def /Pat7 { 0.437500 setgray } def /Pat8 { 0.500000 setgray } def /Pat9 { 0.562500 setgray } def /Pat10 { 0.625000 setgray } def /Pat11 { 0.687500 setgray } def /Pat12 { 0.750000 setgray } def /Pat13 { 0.812500 setgray } def /Pat14 { 0.875000 setgray } def /Pat15 { 0.937500 setgray } def /setpattern { } def } ifelse /m {moveto} bind def /l {lineto} bind def /s {stroke} bind def % Symbol fill /f { gsave fill grestore stroke } bind def % Opaque symbol /o { gsave 1.000000 1.000000 1.000000 setrgbcolor fill grestore stroke } bind def % Circle symbol /a { 3 -1 roll 0 360 arc } bind def /da { a s } bind def /fa { a f } bind def /oa { a o } bind def % Square symbol /sq { moveto dup dup rmoveto 2 mul dup neg 0 rlineto dup neg 0 exch rlineto 0 rlineto closepath } bind def /dsq { sq s } bind def /fsq { sq f } bind def /osq { sq o } bind def % Triangle symbols /t1 { moveto dup 0 exch rmoveto dup neg dup 2 mul rlineto 2 mul 0 rlineto closepath } bind def /dt1 { t1 s } bind def /ft1 { t1 f } bind def /ot1 { t1 o } bind def /t2 { moveto dup neg 0 rmoveto dup dup 2 mul exch neg rlineto 2 mul 0 exch rlineto closepath } bind def /dt2 { t2 s } bind def /ft2 { t2 f } bind def /ot2 { t2 o } bind def /t3 { moveto dup neg 0 exch rmoveto dup dup 2 mul rlineto neg 2 mul 0 rlineto closepath } bind def /dt3 { t3 s } bind def /ft3 { t3 f } bind def /ot3 { t3 o } bind def /t4 { moveto dup 0 rmoveto dup dup -2 mul exch rlineto -2 mul 0 exch rlineto closepath } bind def /dt4 { t4 s } bind def /ft4 { t4 f } bind def /ot4 { t4 o } bind def % Diamond symbol /di { moveto dup 0 exch rmoveto dup neg dup rlineto dup dup neg rlineto dup dup rlineto closepath } bind def /ddi { di s } bind def /fdi { di f } bind def /odi { di o } bind def % Plus symbol /pl { dup 0 rmoveto dup -2 mul 0 rlineto dup dup rmoveto -2 mul 0 exch rlineto } bind def /dpl { m pl s } bind def % x symbol /x { dup dup rmoveto dup -2 mul dup rlineto 2 mul dup 0 rmoveto dup neg exch rlineto } bind def /dx { m x s } bind def % Splat symbol /dsp { m dup pl dup 0 exch rmoveto 0.707 mul x s } bind def /RJ { stringwidth neg exch neg exch rmoveto } bind def /CS { stringwidth 2 div neg exch 2 div neg exch rmoveto } bind def 0.24 0.24 scale 1 setlinecap mark /ISOLatin1Encoding 8#000 1 8#054 {StandardEncoding exch get} for /minus 8#056 1 8#217 {StandardEncoding exch get} for /dotlessi 8#301 1 8#317 {StandardEncoding exch get} for /space /exclamdown /cent /sterling /currency /yen /brokenbar /section /dieresis /copyright /ordfeminine /guillemotleft /logicalnot /hyphen /registered /macron /degree /plusminus /twosuperior /threesuperior /acute /mu /paragraph /periodcentered /cedilla /onesuperior /ordmasculine /guillemotright /onequarter /onehalf /threequarters /questiondown /Agrave /Aacute /Acircumflex /Atilde /Adieresis /Aring /AE /Ccedilla /Egrave /Eacute /Ecircumflex /Edieresis /Igrave /Iacute /Icircumflex /Idieresis /Eth /Ntilde /ntilde /Ograve /Oacute /Ocircumflex /Otilde /Odieresis /multiply /Oslash /Ugrave /Uacute /Ucircumflex /Udieresis /Yacute /Thorn /germandbls /agrave /aacute /acircumflex /atilde /adieresis /aring /ae /ccedilla /egrave /eacute /ecircumflex /edieresis /igrave /iacute /icircumflex /idieresis /eth /ograve /oacute /ocircumflex /otilde /odieresis /divide /oslash /ugrave /uacute /ucircumflex /udieresis /yacute /thorn /ydieresis /ISOLatin1Encoding where not {256 array astore def} if cleartomark /makeISOEncoded { findfont /curfont exch def /newfont curfont maxlength dict def /ISOLatin1 (-ISOLatin1) def /curfontname curfont /FontName get dup length string cvs def /newfontname curfontname length ISOLatin1 length add string dup 0 curfontname putinterval dup curfontname length ISOLatin1 putinterval def curfont { exch dup /FID ne { dup /Encoding eq { exch pop ISOLatin1Encoding exch } if dup /FontName eq { exch pop newfontname exch } if exch newfont 3 1 roll put } { pop pop } ifelse } forall newfontname newfont definefont } def /Times-Roman makeISOEncoded pop /Times-Bold makeISOEncoded pop /Times-Italic makeISOEncoded pop /Times-BoldItalic makeISOEncoded pop /Helvetica makeISOEncoded pop /Helvetica-Bold makeISOEncoded pop /Helvetica-Oblique makeISOEncoded pop /Helvetica-BoldOblique makeISOEncoded pop s 0.000000 0.000000 0.000000 setrgbcolor 1 setlinewidth /Times-Italic-ISOLatin1 findfont 60 scalefont setfont [] 0 setdash 9 setlinewidth 434 375 m 434 385 l 574 375 m 574 385 l 714 375 m 714 385 l 854 375 m 854 385 l 994 375 m 994 385 l 1134 375 m 1134 385 l 1275 375 m 1275 385 l 1415 375 m 1415 385 l 1555 375 m 1555 385 l 1695 375 m 1695 385 l 1835 375 m 1835 385 l 1975 375 m 1975 385 l 2115 375 m 2115 385 l 434 1775 m 434 1765 l 574 1775 m 574 1765 l 714 1775 m 714 1765 l 854 1775 m 854 1765 l 994 1775 m 994 1765 l 1134 1775 m 1134 1765 l 1275 1775 m 1275 1765 l 1415 1775 m 1415 1765 l 1555 1775 m 1555 1765 l 1695 1775 m 1695 1765 l 1835 1775 m 1835 1765 l 1975 1775 m 1975 1765 l 2115 1775 m 2115 1765 l s 434 375 m 434 395 l 714 375 m 714 395 l 994 375 m 994 395 l 1275 375 m 1275 395 l 1555 375 m 1555 395 l 1835 375 m 1835 395 l 2115 375 m 2115 395 l 434 1775 m 434 1755 l 714 1775 m 714 1755 l 994 1775 m 994 1755 l 1275 1775 m 1275 1755 l 1555 1775 m 1555 1755 l 1835 1775 m 1835 1755 l 2115 1775 m 2115 1755 l /Times-Italic-ISOLatin1 findfont 120 scalefont setfont /Helvetica-ISOLatin1 findfont 120 scalefont setfont s 434 275 m gsave 434 275 translate 0 rotate 0 -40 m (-6) CS (-6) show grestore newpath 714 275 m gsave 714 275 translate 0 rotate 0 -40 m (-4) CS (-4) show grestore newpath 994 275 m gsave 994 275 translate 0 rotate 0 -40 m (-2) CS (-2) show grestore newpath 1275 275 m gsave 1275 275 translate 0 rotate 0 -40 m (0) CS (0) show grestore newpath 1555 275 m gsave 1555 275 translate 0 rotate 0 -40 m (2) CS (2) show grestore newpath 1835 275 m gsave 1835 275 translate 0 rotate 0 -40 m (4) CS (4) show grestore newpath 2115 275 m gsave 2115 275 translate 0 rotate 0 -40 m (6) CS (6) show grestore newpath /Helvetica-ISOLatin1 findfont 120 scalefont setfont 1274 75 m gsave 1274 75 translate 0 rotate 0 0 m (v) CS (v) show grestore newpath 434 375 m 454 375 l 434 655 m 454 655 l 434 935 m 454 935 l 434 1215 m 454 1215 l 434 1495 m 454 1495 l 2115 375 m 2095 375 l 2115 655 m 2095 655 l 2115 935 m 2095 935 l 2115 1215 m 2095 1215 l 2115 1495 m 2095 1495 l /Helvetica-ISOLatin1 findfont 120 scalefont setfont s 357 375 m gsave 357 375 translate 0 rotate 0 -40 m (10-5) RJ (10) show /Helvetica-ISOLatin1 0 71 rmoveto (-5) show /Helvetica-ISOLatin1 0 -71 rmoveto () show grestore newpath 357 655 m gsave 357 655 translate 0 rotate 0 -40 m (10-4) RJ (10) show /Helvetica-ISOLatin1 0 71 rmoveto (-4) show /Helvetica-ISOLatin1 0 -71 rmoveto () show grestore newpath 357 935 m gsave 357 935 translate 0 rotate 0 -40 m (10-3) RJ (10) show /Helvetica-ISOLatin1 0 71 rmoveto (-3) show /Helvetica-ISOLatin1 0 -71 rmoveto () show grestore newpath 357 1215 m gsave 357 1215 translate 0 rotate 0 -40 m (10-2) RJ (10) show /Helvetica-ISOLatin1 0 71 rmoveto (-2) show /Helvetica-ISOLatin1 0 -71 rmoveto () show grestore newpath 357 1495 m gsave 357 1495 translate 0 rotate 0 -40 m findfont 71 scalefont setfont findfont 120 scalefont setfont findfont 71 scalefont setfont findfont 120 scalefont setfont findfont 71 scalefont setfont findfont 120 scalefont setfont findfont 71 scalefont setfont findfont 120 scalefont setfont (10-1) RJ (10) show /Helvetica-ISOLatin1 findfont 71 scalefont setfont 0 71 rmoveto (-1) show /Helvetica-ISOLatin1 findfont 120 scalefont setfont 0 -71 rmoveto () show grestore newpath /Helvetica-ISOLatin1 findfont 119 scalefont setfont 20 1075 m gsave 20 1075 translate 90 rotate 0 0 m (P\(v\)) CS (P\(v\)) show grestore newpath 5 setlinewidth [40 20] 0 setdash -125 -4419 m 630 375 m 631 379 l 634 391 l 637 402 l 640 413 l 642 424 l 645 435 l 648 446 l 651 457 l 654 467 l 656 478 l 659 489 l 662 500 l 665 510 l 668 521 l 670 531 l 673 542 l 676 552 l 679 563 l 682 573 l 685 583 l 687 593 l 690 604 l 693 614 l 696 624 l 699 634 l 701 644 l 704 654 l 707 664 l 710 674 l 713 683 l 715 693 l 718 703 l 721 713 l 724 722 l 727 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Ff(Q)2975 4268 y Fd(m)3034 4260 y Fg(\()p Ff(v)s(;)13 b(t)p Fg(\))35 b(for)j(the)d(sp)r(ecial)j(case)208 4351 y Ff(P)257 4359 y Fl(0)291 4351 y Fg(\()p Ff(v)s Fg(\))21 b(=)g Ff(e)529 4320 y Fc(\000)p Fd(v)614 4351 y Fg(.)34 b(Sho)n(w)26 b(that)g(the)f(result)h(is)g(consisten)n(t)g(with)g(the)f (general)i(scaling)g(b)r(eha)n(vior.)106 4483 y(3.)43 b(Uniform)28 b(\014nal)h(distribution.)43 b(Obtain)28 b(the)g(initial)i(sp)r(eed)e(distribution)g Ff(P)2451 4491 y Fl(0)2486 4483 y Fg(\()p Ff(v)s Fg(\))g(and)g(the)g(\015ux)g (for)h(the)f(\014nal)g(sp)r(eed)h(distri-)208 4575 y(bution)c Ff(P)11 b Fg(\()p Ff(v)s Fg(\))20 b(=)i Ff(c)j Fg(for)i(0)22 b Ff(<)f(v)j(<)d Fg(1.)35 b(What)25 b(is)i(the)e(corresp)r(onding)h Ff(\026)p Fg(?)106 4707 y(4.)43 b(What)25 b(is)i(the)e(scaling)j (distribution)d(in)h(the)g(ballistic)h(aggregation)i(mo)r(del.)35 b(Ev)l(aluate)27 b(the)e(tail)i(of)f(the)g(sp)r(eed)g(distribution)208 4798 y(using)g(the)f(Lifshitz)h(tail)h(argumen)n(t.)0 5021 y Fz(Solutions)106 5167 y Fg(1.)43 b(The)27 b(limit)i Ff(z)e Fe(!)d Fg(0)k(is)g(discussed)g(in)g(the)f(text,)h Ff(P)11 b Fg(\()p Ff(v)s(;)h(t)p Fg(\))24 b Fe(')h Ff(P)1987 5175 y Fl(0)2021 5167 y Fg(\()p Ff(v)s Fg(\).)40 b(The)28 b(limit)g Ff(z)g Fe(!)c(1)j Fg(is)h(obtained)g(from)g(the)g(Lifshitz)g (tail)208 5258 y(argumen)n(t)g(\(see)i(matters)f(of)h(tec)n(hnique)d (and)i(freely)g(co)r(oling)i(inelastic)f(gases\))g(b)n(y)e(noting)h (that)g Ff(P)11 b Fg(\()p Ff(v)s(;)h(t)p Fg(\))26 b Fe(\030)h Fg(exp)o(\()p Fe(\000)p Ff(C)5 b(t)p Fg(\))28 b(for)208 5350 y(fast)e(particles.)36 b(An)25 b(in)n(terv)l(al)g(of)i(the)e (length)h Ff(t)f Fg(has)h(to)g(b)r(e)f(empt)n(y)g(ahead)h(in)f(the)h (initial)h(con\014guration.)p eop end %%Page: 40 14 TeXDict begin 40 13 bop 0 -200 a Fy(40)2733 b Fx(CHAPTER)27 b(3.)65 b(COLLISIONS)106 33 y Fg(2.)43 b(The)25 b(cluster)i(size)f (distribution)g(is)g Ff(P)11 b Fg(\()p Ff(v)s(;)i(t)p Fg(\))21 b(=)g(exp)o([)p Fe(\000)p Ff(v)f Fe(\000)d Ff(t)p Fg(\()p Ff(e)2005 1 y Fc(\000)p Fd(v)2106 33 y Fg(+)g Ff(v)j Fe(\000)d Fg(1\)].)35 b(The)26 b(cum)n(ulativ)n(e)f (distribution)h(is)1357 235 y Ff(Q)1418 243 y Fd(m)1477 235 y Fg(\()p Ff(v)s(;)13 b(t)p Fg(\))20 b(=)h Ff(P)11 b Fg(\()p Ff(v)s(;)i(t)p Fg(\))p Ff(e)1998 199 y Fc(\000)p Fl(\()p Fd(m)p Fc(\000)p Fl(1\))p Fd(v)2263 235 y Ff(t)2291 199 y Fd(n)p Fc(\000)p Fl(1)2437 186 y Fg(\000\()p Ff(t)j Fg(+)h(1\))p 2422 218 297 4 v 2422 285 a(\000\()p Ff(t)g Fg(+)f Ff(m)p Fg(\))2729 235 y Ff(:)208 435 y Fg(These)26 b(solutions)h(are)f(consisten)n(t)g(with)g(the)f(scaling)i(b)r(eha)n (vior)f(for)h(the)e(case)i Ff(a)21 b Fg(=)g(1)26 b(and)f Ff(\026)d Fg(=)f(1.)106 559 y(3.)43 b(The)25 b(initial)h(sp)r(eed)f (distribution)h(is)f Ff(P)1341 567 y Fl(0)1376 559 y Fg(\()p Ff(v)s Fg(\))c(=)g Ff(R)1637 528 y Fc(\000)p Fl(1)1735 559 y Fg(+)1821 529 y Fl(1)p 1821 543 31 4 v 1821 585 a(2)1862 559 y Ff(cv)1935 528 y Fl(2)1969 559 y Fg(.)35 b(The)25 b(\015ux)f(is)i Ff(J)i Fg(=)22 b([\(3)16 b(+)g Ff(\025)p Fg(\))2818 496 y Fe(p)p 2882 496 45 4 v 63 x Ff(\025)c Fg(tan)3050 528 y Fc(\000)p Fl(1)3146 496 y Fe(p)p 3210 496 V 63 x Ff(\025)j Fg(+)h Ff(\025)g Fe(\000)g Fg(ln\(1)g(+)g Ff(\025)p Fg(\)])p Ff(=R)208 663 y Fg(with)25 b Ff(\025)d Fg(=)540 633 y Fl(1)p 540 647 31 4 v 540 689 a(2)580 663 y Ff(R)q(c)f Fg(=)784 633 y Fl(3)p 784 647 V 784 689 a(2)825 663 y Fg([)846 599 y Fa(p)p 923 599 307 4 v 64 x Fg(1)c(+)g(2)p Ff(R)q(=)p Fg(2)h Fe(\000)f Fg(1].)35 b(The)26 b(corresp)r(onding)g Ff(\026)c Fg(=)f(2)26 b(and)f Ff(J)k Fe(\030)21 b Ff(R)2662 631 y Fc(\000)p Fl(1)p Fd(=)p Fl(4)2807 663 y Fg(.)106 796 y(4.)43 b(The)34 b(sp)r(eed)g(distribution)h(has)f(the)g(scaling)i (form)f Ff(P)11 b Fg(\()p Ff(v)s(;)h(t)p Fg(\))36 b Fe(')f Ff(t)2139 765 y Fc(\000)p Fd(\013)p Fl(+)p Fd(d\014)2347 796 y Fg(\010\()p Ff(v)s(t)2500 765 y Fd(\014)2541 796 y Fg(\).)60 b(The)35 b(tail)g(of)g(the)f(sp)r(eed)g(distributing)g(is) 208 888 y(\010\()p Ff(z)s Fg(\))21 b Fe(\030)g Fg(exp)o(\()p Fe(\000)p Ff(z)710 856 y Fd(\015)750 888 y Fg(\))k(with)h Ff(\015)f Fg(=)1137 857 y Fd(d)p Fl(+2)p 1137 871 110 4 v 1175 913 a Fd(d)1255 888 y Fg(.)p eop end %%Trailer userdict /end-hook known{end-hook}if %%EOF

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BU - PHYSICS - 542
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BU - PHYSICS - 542
Chapter 5FRAGMENTATIONIn fragmentation, an object continuously breaks into an increasing number of smaller pieces by external driving. Fragmentation is ubiquitous in nature. At geological scales, fragmentation is responsible for sand grains on bea
BU - PHYSICS - 542
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BU - PHYSICS - 542
Chapter 6ADSORPTIONThis chapter is concerned with the kinetics of adsorption in which gas molecules impinge upon and then adsorb on a surface, or substrate. What is the rate at which adsorbed molecules fill the substrate? If the incident molecules
BU - PHYSICS - 542
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BU - PHYSICS - 542
Chapter 7SPIN DYNAMICSKinetic spin systems play a crucial role in the development of non-equilibrium statistical physics. The prototypical example is the appealing-simple kinetic Ising model, in which the conventional Ising model of equilibrium st
BU - PHYSICS - 542
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BU - PHYSICS - 542
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BU - PHYSICS - 542
Chapter 9REACTION KINETICSIn this chapter, we will discuss the time evolution of simple diffusion-limited reactions where one (or more) reactant species are converted into a product. There are two rates that control the overall reaction. The first
BU - PHYSICS - 542
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BU - PHYSICS - 542
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BU - PHYSICS - 542
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BU - PHYSICS - 542
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BU - PY - 502
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BU - PY - 502
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BU - PY - 502
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BU - PY - 502
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BU - PY - 502
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BU - PY - 105
Schedule for PY105 - Summer 1 - 2007Day Date Lecture on T W R F 22 23 24 25 Ch 1 Ch 2 Ch 2-3 Ch 3 Discussion Sec Topic Ch 1 Ch 2 Lab Section Topic - Remember to do prelab at home first NO LABS Forces Between Carts - MBL &quot; &quot; &quot; &quot; &quot; Homework Due Covers
BU - PY - 105
Schedule for PY105 - Summer 1 - 2007Day Date Lecture on T W R F 22 23 24 25 Ch 1 Ch 2 Ch 2-3 Ch 3 Discussion Sec Topic Ch 1 Ch 2 Lab Section Topic - Remember to do prelab at home first NO LABS Forces Between Carts - MBL &quot; &quot; &quot; &quot; &quot; Homework Due Covers
BU - PY - 105
x= i =x i e y = j=j=y e z =k=k=z e Table 1: Unit Vector Dictionary1
BU - PY - 105
Heres a linear world to rotational world dictionary. Please note that it is not 100% accurate (like all translations). For example, while it is true that for a spinning object L = I the most general expression for angular momentum is L = r p. Note a
BU - PY - 105
June 17, 2007 We have:Figure 1: Some Silly ClownNTTClown fWFigure 2: FBD Newton's 2nd law in xdirection: T - f = max Newton's 2nd law in ydirection: T + N - mg = may We want the clown to just start moving, so let a = 0: T -f =0 T + N - m
BU - PY - 105
BU - PY - 105
BU - PY - 105
Conceptual Exercise 3 PY105S Summer 1, 2007 - SolutionsName _ Day/Time _ Score _(1+0.5 ea)In Figure A, a 20 N ball is supported by a string. It hangs over a beaker of fluid that sits on a scale. The scale reading is 12 N. In Figure B the ball is
BU - PY - 212
BU - PY - 211
Spring 2007 SyllabusWeek1 2 3 4 Tuesday Jan. 16 Thursday Jan. 18 Tuesday Jan. 23 Thursday Jan. 25 Tuesday Jan. 30 Thursday Feb. 1 Tuesday Feb. 6 Thursday Feb. 8 Monday Feb. 12 Tuesday Feb. 13 Thursday Feb. 15 Tuesday Feb. 20 Thursday Feb. 22 Tuesda
BU - PY - 211
PY 211 Mid Term Exam IFebruary 13, 2007The Formulae SheetProblem 1Three forces are applied to a circular ring in such a way that the ring remains in equilibrium. If the forces, in Newtons, are applied to the ring as shown below, find the magni
BU - PY - 211
A Heuristic Derivation of the Ideal Gas LawC. A. Serino May 3, 2007Pressure, P , is dened as:F (1) A where F is the force exerted on the material and A is the cross-sectional area of that material. Thus the average pressure P is given by: P =
BU - PY - 211
Challenge Problem Set 1 PY 211C. A. Serino February 2007 1.1) A string of total mass, M, and length, , is situated on a table such that, initially, a small amount, , hangs over the edge as shown in Figure 1. At what time, t, does the string slide a
BU - PY - 211
BU - PY - 211
PY211 Spring 2007Conceptual Exercises 2Consider a person standing in an elevator that is accelerating upward. 1. Draw a free-body diagram of the person.2. The upward normal force n exerted by the elevator floor on the person is: a) larger than t
BU - PY - 211
BU - PY - 211
1.2.3.4.
BU - PY - 211
1.2.3.4.2 &gt;1= 4 &gt; 3!
BU - PY - 211
PY211 Spring 2007Conceptual Exercises 71. Consider the situation shown below left. A puck of mass m, moving with speed v hits an identical puck that is fastened to a pivot using a string of length r. After the elastic collision, the puck attached
BU - PY - 211
BU - PY - 105
Schedule for PY105 - Summer 2 - 2007Day Date Lecture on M T W R F=W M T W R F M T W R F M T W R F M T W R F M T W R F 2 3 4 5 6 9 10 11 12 13 16 17 18 19 20 23 24 25 26 27 30 31 1 2 3 6 7 8 9 10 Ch 1 Ch 2 Holiday Ch 2-3 Ch 3 Discussion Sec Topic Ch
BU - PY - 105
Exam II3.5Average = 8632.5&quot; Range= 11 = [60,98]Number / 2%2!1.510.50 56 58 60 62 64 66 68 70 72 74 76 78 80 82 84 86 88 90 92 94 96 98 100 Score (%)
BU - PY - 212
CAS PY212 A1/B1/C1 General Physics (Fall 2006) - WebCT 4.010/05/2006 12:35 PMDistribution for Exam 1Statistics: Exam 1 Graded out of: 100.0 Number of records: 246 Score Range [ 0, 10 ) [ 10, 20 ) [ 20, 30 ) [ 30, 40 ) [ 40, 50 ) [ 50, 60 ) [ 60,
Bucknell - CS - 315
CSCI 315 Lab 1 Prelab ExerciseThe fork command is fundamental to the use and operation of the UNIX operating system. It is used by UNIX, when you login, to create your execution environment, i.e., shell process, and by the shell when you execute a s
Bucknell - CS - 315
CSCI 315 Lab 1 ExerciseJanuary 23, 2008The fork command is fundamental to the use and operation of the UNIX operating system. It is used by UNIX when you login to create your execution environment, i.e., shell process, and by the shell when you e
Bucknell - CS - 315
CSCI 315 Lab 3 Prelab ExerciseFebruary 1, 2008 Objectives: In this lab you will work with the Java language and its threads class. A thread is similar in concept to a process and in this lab you will learn about some of the differences. Reference
Bucknell - CS - 315
CSCI 315 Lab 3 ExerciseFebruary 5, 2008Objectives: In this lab you will work with the Java language and its threads class. A thread is similar in concept to a process and in this lab you will learn about some of the dierences. References: Suns Jav
Bucknell - CS - 315
CSCI 315 Lab 4 Prelab ExerciseFebruary 10, 2008Objectives: In this lab you will study the behavior of algorithms associated with scheduling Java threads. References: Sun's Java Tutorial on threads; Operating System Concepts with Java - Chapter 5,
Bucknell - CS - 315
CSCI 315 Lab 4 ExerciseFebruary 13, 2008Objectives: In this lab you will study the behavior of algorithms associated with scheduling Java threads. References: Sun's Java Tutorial on threads; Operating System Concepts with Java - Chapter 5, Section
Bucknell - CS - 315
CSCI 315 Lab 5 Prelab ExerciseFebruary 18, 2008Objectives: This lab gives you the chance to experiment with semaphores and monitors in the context of classic concurrent programming problems such as Bounded Buffer and Readers and Writers. Reference
Bucknell - CS - 315
CSCI 315 Lab 6 Prelab ExerciseMarch 2, 2008Objectives: In this lab you will work again with semaphores and monitors. In particular, you will use semaphores to develop two solutions to the dining philosopher's problem and thus gain a better underst
BU - PY - 105
[1 pt] Name _Disc Section _Conceptual Exercise 2 PY105 June 5-6, 2007Question 1. [2 pts] You are upside-down on an roller coaster traveling very fast at the top of the loop-the-loop, but instead of having to be held up by your seatbelt, you ac
BU - PY - 105
June 26, 2007Figure 1: Some Contrived Set Up to Ask a Homework Question OK, so, we were on the right track in class. Well done Michael. We have Fick's Law: DACt Q= L (1) mL t= DAC where m is the mass of H2 O to be evaporated, L is the length of the
Cal Poly Pomona - CS - 525
CS525 Homework #3 Spring 2008Due Date: Wednesday, May 28, 2008. 1. To increase cache performance, some of strategies are: (1) reducing the hit time; and (2) reducing the miss penalty. For each of these two strategies, please describe two hardware o
Cal Poly Pomona - CS - 299
Cascading Style Sheet (CSS)Spring 2007 Instructor: Dr. Fang (Daisy) TangCS 299 Web Programming and DesignWhat is CSS? CSS stands for Cascading Style Sheets Styles define how to display HTML elements Styles are normally stored in Style Sh
Cal Poly Pomona - CS - 499
!&quot;#&quot;$&quot;%&amp;&amp;!')(# *'+ &quot; ) &quot;)&quot; &quot; &amp;,) ) .&amp;1/0* */0)2)25 6 53/4)35 ( &quot; &quot; 7/)7 5 &quot;8!2 ! &quot;!#&quot;#&quot;#&quot;!9 1 :&quot;#1 &quot; ! ; &lt; #72 4 ) 5 ! &quot; &quot;# * &quot;?))3 8 # ! &quot;)3!&amp;/4)#) &quot; !
Cal Poly Pomona - CS - 525
! &quot; # $ % !!&amp;! ' &quot;( )! *+&quot;*,#/! # / % ! 1 3 # % ! ! ! *&quot;- ! 1% ! / ./ .# 2.0/0##% ! &quot; # #! *! !* &quot;( 2 # 2* 2 * 56 4 70 &amp; # * 4 ! ! ! * 48 7 &quot; * * #! ( ! &quot;4 4 ! &quot;4#888 88!9'' ! : * 2 #' * 289 8 8