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All Rights Reserved. 11 dict begin /FontInfo 7 dict dup begin /version (1.0) readonly def /Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def /FullName (CMBX12) readonly def /FamilyName (Computer Modern) readonly def /Weight (Bold) readonly def /ItalicAngle 0 def /isFixedPitch false def end readonly def /FontName /CMBX12 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 11 /ff put dup 12 /fi put dup 39 /quoteright put dup 49 /one put dup 50 /two put dup 51 /three put dup 52 /four put dup 53 /five put dup 54 /six put dup 65 /A put dup 66 /B put dup 67 /C put dup 68 /D put dup 69 /E put dup 71 /G put dup 73 /I 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 87 /W put dup 97 /a put dup 98 /b put dup 99 /c put dup 100 /d put dup 101 /e 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 readonly def /FontBBox{-53 -251 1139 750}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 33 /arrowright put dup 48 /prime put readonly def /FontBBox{-15 -951 1252 782}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 39 /quoteright put dup 44 /comma put dup 45 /hyphen put dup 46 /period 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 76 /L put dup 78 /N put dup 82 /R put dup 83 /S put dup 84 /T put dup 87 /W put dup 97 /a put dup 99 /c put dup 100 /d put dup 101 /e put dup 102 /f put dup 103 /g put dup 104 /h put dup 105 /i put dup 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 121 /y put readonly def /FontBBox{-301 -250 1164 946}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 (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 15 /bullet put dup 24 /similar put dup 29 /greatermuch put dup 33 /arrowright put dup 47 /proportional put dup 106 /bar put dup 114 /nabla put readonly def /FontBBox{-29 -960 1116 775}readonly def currentdict end currentfile eexec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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 48 /zero put dup 49 /one put dup 50 /two put dup 51 /three put dup 56 /eight put dup 61 /equal put readonly def /FontBBox{-27 -250 1122 750}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 12 /vextendsingle put dup 18 /parenleftbigg put dup 19 /parenrightbigg put dup 32 /parenleftBigg put dup 33 /parenrightBigg put dup 48 /parenlefttp put dup 49 /parenrighttp put dup 64 /parenleftbt put dup 65 /parenrightbt put dup 66 /parenleftex put dup 67 /parenrightex put dup 80 /summationtext put dup 112 /radicalbig 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. 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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 3 /asteriskmath put dup 121 /dagger put readonly def /FontBBox{-4 -948 1329 786}readonly def currentdict end currentfile eexec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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 11 /ff put dup 12 /fi put dup 39 /quoteright put dup 44 /comma put dup 45 /hyphen put dup 58 /colon put dup 65 /A put dup 66 /B put dup 67 /C put dup 68 /D put dup 69 /E put dup 70 /F put dup 71 /G put dup 72 /H put dup 73 /I put dup 75 /K put dup 76 /L put dup 77 /M put dup 78 /N put dup 79 /O put dup 80 /P put dup 81 /Q 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 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 readonly def /FontBBox{-163 -250 1146 969}readonly def currentdict end currentfile eexec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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. 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%%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 14 /delta put dup 15 /epsilon1 put dup 25 /pi put dup 26 /rho put dup 58 /period put dup 59 /comma put dup 61 /slash put dup 62 /greater put dup 66 /B put dup 69 /E put dup 71 /G put dup 77 /M put dup 79 /O put dup 80 /P put dup 82 /R put dup 83 /S put dup 84 /T put dup 86 /V put dup 97 /a put dup 99 /c put dup 103 /g put dup 106 /j put dup 107 /k put dup 109 /m put dup 112 /p put dup 113 /q 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 121 /y put dup 122 /z put readonly def /FontBBox{-32 -250 1048 750}readonly def currentdict end 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All Rights Reserved. 11 dict begin /FontInfo 7 dict dup begin /version (1.00B) readonly def /Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def /FullName (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 3 /Lambda put dup 11 /ff put dup 12 /fi put dup 13 /fl put dup 14 /ffi put dup 18 /grave put dup 33 /exclam put dup 34 /quotedblright put dup 39 /quoteright put dup 40 /parenleft put dup 41 /parenright put dup 43 /plus put dup 44 /comma put dup 45 /hyphen put dup 46 /period put dup 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 63 /question 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 87 /W put dup 89 /Y put dup 90 /Z put dup 92 /quotedblleft put dup 95 /dotaccent 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 dup 124 /emdash put dup 127 /dieresis put readonly def /FontBBox{-251 -250 1009 969}readonly def currentdict end currentfile eexec D9D66F633B846A97B686A97E45A3D0AA052A014267B7904EB3C0D3BD0B83D891 016CA6CA4B712ADEB258FAAB9A130EE605E61F77FC1B738ABC7C51CD46EF8171 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0000000000000000000000000000000000000000000000000000000000000000 cleartomark %%EndFont %%BeginFont: CMR9 %!PS-AdobeFont-1.1: CMR9 1.0 %%CreationDate: 1991 Aug 20 16:39:59 % Copyright (C) 1997 American Mathematical Society. All Rights Reserved. 11 dict begin /FontInfo 7 dict dup begin /version (1.0) readonly def /Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def /FullName (CMR9) readonly def /FamilyName (Computer Modern) readonly def /Weight (Medium) readonly def /ItalicAngle 0 def /isFixedPitch false def end readonly def /FontName /CMR9 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 39 /quoteright put dup 44 /comma put dup 46 /period put dup 58 /colon put dup 69 /E put dup 70 /F put dup 72 /H 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 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 readonly def /FontBBox{-39 -250 1036 750}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 (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 65 /A put dup 97 /a put dup 98 /b put dup 99 /c put dup 114 /r put dup 115 /s put dup 116 /t put readonly def /FontBBox{-58 -250 1195 750}readonly def currentdict end currentfile eexec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cleartomark %%EndFont %%BeginFont: CMSY8 %!PS-AdobeFont-1.1: CMSY8 1.0 %%CreationDate: 1991 Aug 15 07:22:10 % Copyright (C) 1997 American Mathematical Society. All Rights Reserved. 11 dict begin /FontInfo 7 dict dup begin /version (1.0) readonly def /Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def /FullName (CMSY8) readonly def /FamilyName (Computer Modern) readonly def /Weight (Medium) readonly def /ItalicAngle -14.035 def /isFixedPitch false def end readonly def /FontName /CMSY8 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 3 /asteriskmath put dup 121 /dagger put readonly def /FontBBox{-30 -955 1185 779}readonly def currentdict end currentfile eexec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cleartomark %%EndFont %%BeginFont: CMR12 %!PS-AdobeFont-1.1: CMR12 1.0 %%CreationDate: 1991 Aug 20 16:38:05 % Copyright (C) 1997 American Mathematical Society. All Rights Reserved. 11 dict begin /FontInfo 7 dict dup begin /version (1.0) readonly def /Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def /FullName (CMR12) readonly def /FamilyName (Computer Modern) readonly def /Weight (Medium) readonly def /ItalicAngle 0 def /isFixedPitch false def end readonly def /FontName /CMR12 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 44 /comma put dup 46 /period put dup 48 /zero put dup 50 /two put dup 52 /four put dup 54 /six put dup 66 /B put dup 67 /C put dup 69 /E put dup 70 /F put dup 74 /J put dup 97 /a put dup 100 /d put dup 101 /e put dup 104 /h 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 dup 122 /z put readonly def /FontBBox{-34 -251 988 750}readonly def currentdict end currentfile eexec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11461 9036 M -1 10 R -1 9 R -3 9 R -3 10 R -4 8 R -5 8 R -6 8 R -7 7 R -7 6 R -8 6 R -8 5 R -9 4 R -9 3 R -9 2 R -10 1 R -9 0 R -10 0 R -9 -2 R -9 -3 R -9 -3 R -9 -5 R -8 -5 R -7 -6 R -7 -6 R -6 -8 R -6 -8 R -4 -8 R -4 -9 R -3 -9 R -2 -10 R -1 -9 R 0 -10 R 1 -9 R 2 -10 R 3 -9 R 4 -9 R 4 -8 R 6 -8 R 6 -7 R 7 -7 R 7 -6 R 8 -5 R 9 -5 R 9 -3 R 9 -3 R 9 -1 R 10 -1 R 9 0 R 10 1 R 9 2 R 9 4 R 9 3 R 8 5 R 8 6 R 7 6 R 7 7 R 6 8 R 5 8 R 4 9 R 3 9 R 3 9 R 1 10 R 1 9 R D 11653 9036 M 0 10 R -2 9 R -2 9 R -4 10 R -4 8 R -5 8 R -5 8 R -7 7 R -7 6 R -8 6 R -8 5 R -9 4 R -9 3 R -10 2 R -9 1 R -10 0 R -9 0 R -10 -2 R -9 -3 R -9 -3 R -8 -5 R -8 -5 R -8 -6 R -7 -6 R -6 -8 R -5 -8 R -5 -8 R -4 -9 R -2 -9 R -2 -10 R -1 -9 R 0 -10 R 1 -9 R 2 -10 R 2 -9 R 4 -9 R 5 -8 R 5 -8 R 6 -7 R 7 -7 R 8 -6 R 8 -5 R 8 -5 R 9 -3 R 9 -3 R 10 -1 R 9 -1 R 10 0 R 9 1 R 10 2 R 9 4 R 9 3 R 8 5 R 8 6 R 7 6 R 7 7 R 5 8 R 5 8 R 4 9 R 4 9 R 2 9 R 2 10 R 0 9 R D 3664 9203 M -1 9 R -1 10 R -2 9 R -4 9 R -4 9 R -5 8 R -6 8 R -6 7 R -7 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4530 9370 M 0 9 R -2 10 R -2 9 R -3 9 R -5 9 R -5 8 R -5 7 R -7 7 R -7 7 R -8 5 R -8 5 R -9 4 R -9 3 R -9 2 R -10 2 R -9 0 R -10 -1 R -9 -2 R -10 -2 R -9 -4 R -8 -4 R -8 -5 R -8 -6 R -7 -7 R -6 -7 R -5 -8 R -5 -9 R -4 -9 R -2 -9 R -2 -9 R -1 -10 R 0 -9 R 1 -10 R 2 -9 R 2 -9 R 4 -9 R 5 -9 R 5 -8 R 6 -7 R 7 -7 R 8 -6 R 8 -5 R 8 -4 R 9 -4 R 10 -2 R 9 -2 R 10 -1 R 9 1 R 10 1 R 9 2 R 9 3 R 9 4 R 8 5 R 8 5 R 7 7 R 7 7 R 5 7 R 5 9 R 5 8 R 3 9 R 2 9 R 2 10 R 0 10 R D 4723 9370 M -1 9 R -1 10 R -3 9 R -3 9 R -4 9 R -5 8 R -6 7 R -6 7 R -8 7 R -7 5 R -9 5 R -8 4 R -9 3 R -10 2 R -9 2 R -10 0 R -10 -1 R -9 -2 R -9 -2 R -9 -4 R -9 -4 R -8 -5 R -7 -6 R -7 -7 R -6 -7 R -6 -8 R -4 -9 R -4 -9 R -3 -9 R -2 -9 R -1 -10 R 0 -9 R 1 -10 R 2 -9 R 3 -9 R 4 -9 R 4 -9 R 6 -8 R 6 -7 R 7 -7 R 7 -6 R 8 -5 R 9 -4 R 9 -4 R 9 -2 R 9 -2 R 10 -1 R 10 1 R 9 1 R 10 2 R 9 3 R 8 4 R 9 5 R 7 5 R 8 7 R 6 7 R 6 7 R 5 9 R 4 8 R 3 9 R 3 9 R 1 10 R 1 10 R D 4915 9370 M 0 9 R -2 10 R -2 9 R -3 9 R -5 9 R -5 8 R -5 7 R -7 7 R -7 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10 1 R 9 3 R 9 3 R 9 4 R 8 4 R 8 6 R 7 6 R 7 7 R 6 8 R 5 8 R 4 9 R 3 9 R 2 9 R 2 10 R 0 9 R D 8573 10703 M -1 10 R -1 9 R -2 10 R -4 9 R -4 8 R -5 9 R -6 7 R -6 7 R -7 7 R -8 5 R -8 5 R -9 4 R -9 3 R -10 2 R -9 1 R -10 1 R -9 -1 R -10 -2 R -9 -2 R -9 -4 R -8 -4 R -9 -6 R -7 -6 R -7 -6 R -6 -8 R -5 -8 R -5 -8 R -4 -9 R -3 -9 R -2 -9 R -1 -10 R 0 -10 R 1 -9 R 2 -9 R 3 -10 R 4 -8 R 5 -9 R 5 -8 R 6 -7 R 7 -7 R 7 -6 R 9 -5 R 8 -4 R 9 -4 R 9 -3 R 10 -1 R 9 -1 R 10 0 R 9 1 R 10 3 R 9 3 R 9 4 R 8 4 R 8 6 R 7 6 R 6 7 R 6 8 R 5 8 R 4 9 R 4 9 R 2 9 R 1 10 R 1 9 R D 8765 10703 M 0 10 R -2 9 R -2 10 R -3 9 R -4 8 R -5 9 R -6 7 R -7 7 R -7 7 R -8 5 R -8 5 R -9 4 R -9 3 R -9 2 R -10 1 R -9 1 R -10 -1 R -9 -2 R -10 -2 R -8 -4 R -9 -4 R -8 -6 R -8 -6 R -6 -6 R -7 -8 R -5 -8 R -5 -8 R -3 -9 R -3 -9 R -2 -9 R -1 -10 R 0 -10 R 1 -9 R 2 -9 R 3 -10 R 3 -8 R 5 -9 R 5 -8 R 7 -7 R 6 -7 R 8 -6 R 8 -5 R 9 -4 R 8 -4 R 10 -3 R 9 -1 R 10 -1 R 9 0 R 10 1 R 9 3 R 9 3 R 9 4 R 8 4 R 8 6 R 7 6 R 7 7 R 6 8 R 5 8 R 4 9 R 3 9 R 2 9 R 2 10 R 0 9 R D 8958 10703 M -1 10 R -1 9 R -2 10 R -4 9 R -4 8 R -5 9 R -6 7 R -6 7 R -7 7 R -8 5 R -8 5 R -9 4 R -9 3 R -10 2 R -9 1 R -10 1 R -9 -1 R -10 -2 R -9 -2 R -9 -4 R -8 -4 R -9 -6 R -7 -6 R -7 -6 R -6 -8 R -5 -8 R -5 -8 R -4 -9 R -3 -9 R -2 -9 R 0 -10 R 0 -10 R 0 -9 R 2 -9 R 3 -10 R 4 -8 R 5 -9 R 5 -8 R 6 -7 R 7 -7 R 7 -6 R 9 -5 R 8 -4 R 9 -4 R 9 -3 R 10 -1 R 9 -1 R 10 0 R 9 1 R 10 3 R 9 3 R 9 4 R 8 4 R 8 6 R 7 6 R 6 7 R 6 8 R 5 8 R 4 9 R 4 9 R 2 9 R 1 10 R 1 9 R D 9150 10703 M 0 10 R -1 9 R -3 10 R -3 9 R -4 8 R -5 9 R -6 7 R -7 7 R -7 7 R -8 5 R -8 5 R -9 4 R -9 3 R -9 2 R -10 1 R -9 1 R -10 -1 R -9 -2 R -9 -2 R -9 -4 R -9 -4 R -8 -6 R -8 -6 R -6 -6 R -7 -8 R -5 -8 R -5 -8 R -3 -9 R -3 -9 R -2 -9 R -1 -10 R 0 -10 R 1 -9 R 2 -9 R 3 -10 R 3 -8 R 5 -9 R 5 -8 R 7 -7 R 6 -7 R 8 -6 R 8 -5 R 9 -4 R 9 -4 R 9 -3 R 9 -1 R 10 -1 R 9 0 R 10 1 R 9 3 R 9 3 R 9 4 R 8 4 R 8 6 R 7 6 R 7 7 R 6 8 R 5 8 R 4 9 R 3 9 R 3 9 R 1 10 R 0 9 R D 9343 10703 M -1 10 R -1 9 R -2 10 R -4 9 R 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10113 7035 M -1 10 R -1 10 R -2 9 R -4 9 R -4 9 R -5 8 R -6 7 R -6 7 R -7 7 R -8 5 R -8 5 R -9 4 R -9 3 R -10 2 R -9 1 R -10 1 R -9 -1 R -10 -2 R -9 -2 R -9 -4 R -8 -4 R -8 -5 R -8 -6 R -7 -7 R -6 -7 R -5 -8 R -5 -9 R -4 -9 R -3 -9 R -1 -9 R -1 -10 R 0 -9 R 1 -10 R 1 -9 R 3 -9 R 4 -9 R 5 -9 R 5 -8 R 6 -7 R 7 -7 R 8 -6 R 8 -5 R 8 -4 R 9 -4 R 9 -2 R 10 -2 R 9 -1 R 10 1 R 9 1 R 10 2 R 9 3 R 9 4 R 8 5 R 8 5 R 7 7 R 6 7 R 6 7 R 5 8 R 4 9 R 4 9 R 2 9 R 1 10 R 1 9 R D 10305 7035 M 0 10 R -1 10 R -3 9 R -3 9 R -4 9 R -5 8 R -6 7 R -7 7 R -7 7 R -8 5 R -8 5 R -9 4 R -9 3 R -9 2 R -10 1 R -9 1 R -10 -1 R -9 -2 R -9 -2 R -9 -4 R -9 -4 R -8 -5 R -7 -6 R -7 -7 R -7 -7 R -5 -8 R -5 -9 R -3 -9 R -3 -9 R -2 -9 R -1 -10 R 0 -9 R 1 -10 R 2 -9 R 3 -9 R 3 -9 R 5 -9 R 5 -8 R 7 -7 R 7 -7 R 7 -6 R 8 -5 R 9 -4 R 9 -4 R 9 -2 R 9 -2 R 10 -1 R 9 1 R 10 1 R 9 2 R 9 3 R 9 4 R 8 5 R 8 5 R 7 7 R 7 7 R 6 7 R 5 8 R 4 9 R 3 9 R 3 9 R 1 10 R 0 9 R D 10498 7035 M 0 10 R -2 10 R -2 9 R -4 9 R -4 9 R -5 8 R -6 7 R -6 7 R 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8669 7869 M 0 10 R -2 9 R -2 9 R -3 9 R -5 9 R -5 8 R -5 8 R -7 7 R -7 6 R -8 6 R -8 5 R -9 4 R -9 3 R -9 2 R -10 1 R -10 0 R -9 0 R -10 -2 R -9 -3 R -9 -3 R -8 -5 R -8 -5 R -8 -6 R -7 -6 R -6 -8 R -5 -8 R -5 -8 R -4 -9 R -2 -9 R -2 -10 R -1 -9 R 0 -10 R 1 -9 R 2 -10 R 2 -9 R 4 -9 R 5 -8 R 5 -8 R 6 -7 R 7 -7 R 8 -6 R 8 -5 R 8 -5 R 9 -3 R 9 -3 R 10 -1 R 9 -1 R 10 0 R 10 1 R 9 2 R 9 3 R 9 4 R 8 5 R 8 6 R 7 6 R 7 7 R 5 8 R 5 8 R 5 9 R 3 9 R 2 9 R 2 10 R 0 9 R D 8862 7869 M -1 10 R -1 9 R -3 9 R -3 9 R -4 9 R -5 8 R -6 8 R -6 7 R -8 6 R -7 6 R -9 5 R -8 4 R -10 3 R -9 2 R -9 1 R -10 0 R -10 0 R -9 -2 R -9 -3 R -9 -3 R -9 -5 R -8 -5 R -7 -6 R -7 -6 R -6 -8 R -6 -8 R -4 -8 R -4 -9 R -3 -9 R -2 -10 R -1 -9 R 0 -10 R 1 -9 R 2 -10 R 3 -9 R 4 -9 R 4 -8 R 6 -8 R 6 -7 R 7 -7 R 7 -6 R 8 -5 R 9 -5 R 9 -3 R 9 -3 R 9 -1 R 10 -1 R 10 0 R 9 1 R 9 2 R 10 3 R 8 4 R 9 5 R 7 6 R 8 6 R 6 7 R 6 8 R 5 8 R 4 9 R 3 9 R 3 9 R 1 10 R 1 9 R D 9054 7869 M 0 10 R -2 9 R -2 9 R -3 9 R -5 9 R -5 8 R -5 8 R -7 7 R -7 6 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10 3 R 9 3 R 10 5 R 9 5 R 9 6 R 8 6 R 7 8 R 7 7 R 6 9 R 5 8 R 4 9 R 3 9 R 2 9 R 2 9 R D 4040 8959 M -1 9 R -3 9 R -3 9 R -4 9 R -5 9 R -6 8 R -7 8 R -7 7 R -8 7 R -9 6 R -9 6 R -9 4 R -10 4 R -10 3 R -10 2 R -10 1 R -10 0 R -9 -1 R -10 -2 R -9 -2 R -8 -4 R -8 -4 R -7 -5 R -7 -6 R -6 -7 R -5 -7 R -4 -8 R -3 -8 R -2 -8 R -1 -9 R -1 -9 R 1 -10 R 2 -9 R 3 -9 R 3 -9 R 5 -9 R 6 -8 R 6 -8 R 7 -8 R 8 -7 R 8 -6 R 9 -6 R 9 -5 R 10 -4 R 10 -3 R 10 -3 R 10 -1 R 10 -1 R 9 1 R 10 1 R 9 2 R 9 3 R 8 4 R 8 5 R 7 5 R 6 6 R 5 7 R 5 7 R 3 8 R 3 9 R 2 8 R 0 9 R 0 10 R D 4240 8941 M -1 9 R -3 9 R -3 9 R -4 9 R -6 9 R -6 8 R -6 8 R -8 8 R -8 7 R -8 6 R -9 5 R -10 5 R -10 4 R -9 3 R -10 2 R -10 1 R -10 0 R -10 -1 R -9 -2 R -9 -2 R -9 -4 R -7 -4 R -8 -5 R -6 -6 R -6 -6 R -5 -7 R -4 -8 R -3 -8 R -2 -9 R -1 -9 R 0 -9 R 1 -9 R 1 -9 R 3 -10 R 4 -9 R 5 -8 R 5 -9 R 7 -8 R 7 -8 R 7 -7 R 9 -6 R 9 -6 R 9 -5 R 10 -4 R 9 -3 R 11 -3 R 10 -1 R 10 -1 R 9 0 R 10 1 R 9 3 R 9 2 R 8 4 R 8 5 R 7 5 R 6 6 R 5 7 R 4 7 R 4 8 R 2 9 R 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5 -6 R 6 -6 R 6 -6 R 7 -4 R 8 -3 R 8 -3 R 9 -1 R 9 -1 R 9 1 R 9 1 R 9 3 R 10 3 R 9 5 R 9 5 R 9 6 R 8 7 R 8 7 R 7 8 R 7 9 R 5 9 R 6 9 R 4 10 R 3 10 R 3 10 R 2 10 R D 9888 9493 M 1 9 R 0 10 R -1 9 R -3 9 R -3 8 R -4 8 R -4 7 R -6 7 R -6 5 R -7 5 R -8 4 R -8 3 R -8 2 R -9 1 R -9 0 R -10 0 R -9 -2 R -10 -3 R -9 -4 R -9 -4 R -9 -6 R -8 -6 R -8 -7 R -8 -8 R -6 -8 R -7 -9 R -5 -9 R -5 -10 R -4 -10 R -3 -10 R -2 -10 R -1 -9 R 0 -10 R 0 -10 R 2 -9 R 3 -8 R 3 -8 R 4 -8 R 5 -7 R 6 -6 R 7 -5 R 7 -4 R 8 -3 R 8 -3 R 9 -1 R 9 -1 R 9 1 R 9 1 R 10 2 R 9 4 R 10 4 R 9 5 R 9 6 R 8 7 R 8 7 R 7 8 R 7 8 R 5 9 R 6 10 R 4 9 R 3 10 R 3 10 R 1 10 R D 10078 9515 M 1 9 R -1 10 R -1 9 R -2 9 R -3 8 R -4 8 R -5 7 R -6 6 R -6 6 R -7 5 R -8 4 R -8 3 R -9 2 R -9 1 R -9 0 R -9 -1 R -10 -1 R -9 -3 R -10 -4 R -9 -4 R -9 -6 R -8 -6 R -8 -7 R -8 -8 R -7 -8 R -6 -9 R -5 -9 R -5 -9 R -4 -10 R -3 -10 R -2 -9 R -1 -10 R 0 -10 R 1 -9 R 1 -9 R 3 -9 R 3 -8 R 5 -7 R 5 -7 R 6 -6 R 7 -5 R 7 -4 R 8 -4 R 8 -2 R 9 -2 R 9 0 R 9 0 R 10 1 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-4 9 R -5 9 R -6 9 R -6 8 R -7 7 R -8 7 R -8 7 R -9 5 R -9 5 R -10 4 R -9 3 R -10 2 R -9 1 R -10 0 R -9 -1 R -9 -2 R -9 -2 R -8 -4 R -8 -5 R -7 -5 R -6 -6 R -6 -7 R -4 -7 R -4 -8 R -3 -9 R -2 -9 R -1 -9 R -1 -9 R 1 -10 R 2 -9 R 3 -10 R 3 -9 R 5 -9 R 5 -9 R 6 -8 R 7 -8 R 8 -8 R 8 -6 R 9 -6 R 8 -5 R 10 -4 R 9 -4 R 10 -2 R 10 -2 R 9 -1 R 10 1 R 9 1 R 9 2 R 8 3 R 8 4 R 8 5 R 6 6 R 6 6 R 5 7 R 4 8 R 4 8 R 2 9 R 2 9 R 0 9 R 0 10 R D 4646 9713 M -1 9 R -3 10 R -3 10 R -4 9 R -5 9 R -6 9 R -6 8 R -7 8 R -8 7 R -8 6 R -9 6 R -9 5 R -10 3 R -9 3 R -10 3 R -9 1 R -10 0 R -9 -1 R -9 -2 R -8 -2 R -9 -4 R -7 -5 R -7 -5 R -6 -6 R -6 -7 R -5 -7 R -3 -8 R -3 -9 R -2 -9 R -1 -9 R 0 -9 R 0 -10 R 2 -10 R 3 -9 R 4 -10 R 4 -9 R 6 -9 R 6 -8 R 7 -8 R 7 -7 R 8 -7 R 9 -6 R 9 -5 R 9 -4 R 10 -4 R 9 -2 R 10 -2 R 10 -1 R 9 0 R 9 2 R 9 2 R 8 3 R 8 4 R 7 5 R 7 5 R 6 7 R 5 7 R 4 8 R 3 8 R 3 9 R 1 9 R 1 9 R -1 10 R D 4837 9694 M -1 9 R -3 10 R -3 10 R -4 9 R -5 9 R -6 9 R -6 8 R -8 8 R -7 7 R -9 7 R -8 5 R -9 5 R -10 4 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9827 M -1 11 R -2 11 R -2 10 R -3 11 R -4 10 R -5 9 R -6 9 R -6 9 R -6 7 R -7 7 R -8 6 R -8 5 R -8 4 R -8 3 R -8 1 R -9 1 R -8 0 R -8 -1 R -8 -3 R -8 -3 R -7 -5 R -7 -5 R -6 -6 R -5 -8 R -5 -7 R -4 -9 R -4 -9 R -3 -10 R -2 -10 R -1 -11 R 0 -10 R 1 -11 R 1 -11 R 3 -11 R 3 -10 R 3 -11 R 5 -10 R 5 -9 R 6 -9 R 6 -8 R 7 -7 R 8 -6 R 7 -6 R 8 -5 R 8 -3 R 8 -3 R 9 -1 R 8 0 R 8 0 R 8 2 R 8 3 R 7 4 R 7 5 R 6 6 R 6 7 R 5 8 R 5 8 R 3 9 R 4 10 R 2 10 R 1 10 R 1 11 R 0 11 R D 7105 9818 M -1 11 R -1 11 R -3 11 R -3 10 R -4 10 R -4 10 R -5 9 R -6 8 R -7 7 R -7 7 R -7 6 R -8 5 R -8 4 R -8 2 R -8 2 R -9 1 R -8 -1 R -8 -1 R -8 -3 R -7 -3 R -7 -5 R -7 -5 R -6 -7 R -6 -7 R -5 -8 R -4 -9 R -4 -9 R -3 -10 R -2 -10 R -1 -11 R 0 -11 R 0 -11 R 2 -11 R 2 -10 R 3 -11 R 3 -10 R 5 -10 R 5 -10 R 6 -8 R 6 -8 R 7 -8 R 7 -6 R 7 -5 R 8 -5 R 8 -3 R 8 -3 R 8 -1 R 9 0 R 8 1 R 7 2 R 8 3 R 7 4 R 7 5 R 6 6 R 6 7 R 6 8 R 4 8 R 4 10 R 3 9 R 3 11 R 1 10 R 1 11 R 0 11 R D 7269 9812 M 0 11 R -2 11 R -2 11 R -3 10 R -4 10 R -4 10 R 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-1 R 8 1 R 8 1 R 7 1 R 7 3 R 7 3 R 7 4 R 6 4 R 6 5 R 5 6 R 5 6 R 4 7 R 3 7 R 3 7 R 2 7 R 1 8 R 0 7 R D 8592 8969 M 0 8 R -1 8 R -2 7 R -3 7 R -3 7 R -4 7 R -5 6 R -5 6 R -6 5 R -6 4 R -7 4 R -7 3 R -7 3 R -7 1 R -8 1 R -8 0 R -7 0 R -8 -2 R -7 -2 R -8 -2 R -6 -4 R -7 -4 R -6 -5 R -5 -5 R -5 -6 R -5 -6 R -3 -7 R -3 -7 R -2 -8 R -2 -7 R -1 -8 R 0 -7 R 1 -8 R 2 -8 R 2 -7 R 3 -7 R 3 -7 R 5 -6 R 5 -6 R 5 -5 R 6 -5 R 7 -4 R 6 -4 R 8 -3 R 7 -2 R 8 -1 R 7 -1 R 8 1 R 8 1 R 7 1 R 7 3 R 7 3 R 7 4 R 6 4 R 6 5 R 5 6 R 5 6 R 4 7 R 3 7 R 3 7 R 2 7 R 1 8 R 0 7 R D 8749 8975 M 2 11 R 0 10 R -1 10 R -1 10 R -3 9 R -3 8 R -4 7 R -4 7 R -6 6 R -6 5 R -6 4 R -8 3 R -7 2 R -8 1 R -8 0 R -9 -1 R -8 -2 R -9 -4 R -8 -4 R -9 -5 R -8 -7 R -8 -7 R -7 -8 R -7 -8 R -5 -6 R -5 -6 R -3 -7 R -3 -7 R -2 -8 R -2 -7 R -1 -8 R 0 -7 R 1 -8 R 2 -8 R 2 -7 R 3 -7 R 3 -7 R 5 -6 R 5 -6 R 5 -5 R 6 -5 R 7 -4 R 6 -4 R 8 -3 R 7 -2 R 8 -1 R 7 -1 R 8 1 R 8 1 R 7 1 R 7 3 R 7 3 R 7 4 R 6 4 R 6 5 R 5 6 R 5 6 R 4 7 R 3 7 R 3 7 R 2 7 R 2 11 R 2 10 R D 6821 9103 M 0 7 R -1 8 R -2 7 R -3 8 R -3 7 R -4 6 R -5 6 R -5 6 R -6 5 R -7 6 R -7 7 R -8 5 R -8 5 R -8 3 R -8 3 R -8 1 R -8 0 R -8 0 R -7 -2 R -7 -3 R -7 -4 R -6 -6 R -6 -6 R -5 -7 R -4 -7 R -4 -9 R -3 -9 R -2 -10 R -2 -8 R -1 -8 R -1 -7 R 0 -8 R 1 -8 R 1 -7 R 3 -8 R 3 -7 R 3 -6 R 5 -7 R 5 -6 R 5 -5 R 6 -5 R 7 -4 R 6 -3 R 8 -3 R 7 -2 R 7 -2 R 8 0 R 8 0 R 7 1 R 8 2 R 7 2 R 7 3 R 7 4 R 6 5 R 6 5 R 5 5 R 5 6 R 4 7 R 3 7 R 3 7 R 2 8 R 1 7 R 0 8 R D 6975 9103 M 0 7 R -1 8 R -2 7 R -3 8 R -3 7 R -4 6 R -5 6 R -5 6 R -6 5 R -6 4 R -7 4 R -7 3 R -7 3 R -8 2 R -7 1 R -8 0 R -8 -1 R -7 -1 R -7 -2 R -8 -3 R -6 -4 R -7 -4 R -6 -4 R -5 -6 R -5 -6 R -5 -6 R -3 -7 R -3 -7 R -3 -7 R -1 -8 R -1 -7 R 0 -8 R 1 -8 R 1 -7 R 3 -8 R 3 -7 R 3 -6 R 5 -7 R 5 -6 R 5 -5 R 6 -5 R 7 -4 R 6 -3 R 8 -3 R 7 -2 R 7 -2 R 8 0 R 8 0 R 7 1 R 8 2 R 7 2 R 7 3 R 7 4 R 6 5 R 6 5 R 5 5 R 5 6 R 4 7 R 3 7 R 3 7 R 2 8 R 1 7 R 0 8 R D 7129 9103 M 0 7 R -1 8 R -2 7 R -3 8 R -3 7 R -4 6 R -5 6 R -5 6 R -6 5 R -6 4 R -7 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-5 -6 R -5 -6 R -5 -6 R -3 -7 R -3 -7 R -3 -7 R -1 -8 R -1 -7 R 0 -8 R 1 -8 R 1 -7 R 3 -8 R 3 -7 R 3 -6 R 5 -7 R 5 -6 R 5 -5 R 6 -5 R 7 -4 R 6 -3 R 8 -3 R 7 -2 R 8 -2 R 7 0 R 8 0 R 7 1 R 8 2 R 7 2 R 7 3 R 7 4 R 6 5 R 6 5 R 5 5 R 5 6 R 4 7 R 3 7 R 3 7 R 2 8 R 1 7 R 0 8 R D 7591 9103 M 0 7 R -1 8 R -2 7 R -3 8 R -3 7 R -4 6 R -5 6 R -5 6 R -6 5 R -6 4 R -7 4 R -7 3 R -7 3 R -8 2 R -7 1 R -8 0 R -7 -1 R -8 -1 R -7 -2 R -8 -3 R -6 -4 R -7 -4 R -6 -4 R -5 -6 R -5 -6 R -5 -6 R -3 -7 R -3 -7 R -3 -7 R -1 -8 R -1 -7 R 0 -8 R 1 -8 R 1 -7 R 3 -8 R 3 -7 R 3 -6 R 5 -7 R 5 -6 R 5 -5 R 6 -5 R 7 -4 R 6 -3 R 8 -3 R 7 -2 R 8 -2 R 7 0 R 8 0 R 7 1 R 8 2 R 7 2 R 7 3 R 7 4 R 6 5 R 6 5 R 5 5 R 5 6 R 4 7 R 3 7 R 3 7 R 2 8 R 1 7 R 0 8 R D 7745 9103 M 0 7 R -1 8 R -2 7 R -3 8 R -3 7 R -4 6 R -5 6 R -5 6 R -6 5 R -6 4 R -7 4 R -7 3 R -7 3 R -8 2 R -7 1 R -8 0 R -7 -1 R -8 -1 R -7 -2 R -8 -3 R -6 -4 R -7 -4 R -6 -4 R -5 -6 R -5 -6 R -5 -6 R -3 -7 R -3 -7 R -3 -7 R -1 -8 R -1 -7 R 0 -8 R 1 -8 R 1 -7 R 3 -8 R 3 -7 R 3 -6 R 5 -7 R 5 -6 R 5 -5 R 6 -5 R 7 -4 R 6 -3 R 8 -3 R 7 -2 R 8 -2 R 7 0 R 8 0 R 7 1 R 8 2 R 7 2 R 7 3 R 7 4 R 6 5 R 6 5 R 5 5 R 5 6 R 4 7 R 3 7 R 3 7 R 2 8 R 1 7 R 0 8 R D 7899 9103 M 0 7 R -1 8 R -2 7 R -3 8 R -3 7 R -4 6 R -5 6 R -5 6 R -6 5 R -6 4 R -7 4 R -7 3 R -7 3 R -8 2 R -7 1 R -8 0 R -7 -1 R -8 -1 R -7 -2 R -8 -3 R -6 -4 R -7 -4 R -6 -4 R -5 -6 R -5 -6 R -5 -6 R -3 -7 R -3 -7 R -3 -7 R -1 -8 R -1 -7 R 0 -8 R 1 -8 R 1 -7 R 3 -8 R 3 -7 R 3 -6 R 5 -7 R 5 -6 R 5 -5 R 6 -5 R 7 -4 R 6 -3 R 8 -3 R 7 -2 R 8 -2 R 7 0 R 8 0 R 7 1 R 8 2 R 7 2 R 7 3 R 7 4 R 6 5 R 6 5 R 5 5 R 5 6 R 4 7 R 3 7 R 3 7 R 2 8 R 1 7 R 0 8 R D 8053 9103 M 0 7 R -1 8 R -2 7 R -3 8 R -3 7 R -4 6 R -5 6 R -5 6 R -6 5 R -6 4 R -7 4 R -7 3 R -7 3 R -8 2 R -7 1 R -8 0 R -7 -1 R -8 -1 R -7 -2 R -8 -3 R -6 -4 R -7 -4 R -6 -4 R -5 -6 R -5 -6 R -5 -6 R -3 -7 R -3 -7 R -3 -7 R -1 -8 R -1 -7 R 0 -8 R 1 -8 R 1 -7 R 3 -8 R 3 -7 R 3 -6 R 5 -7 R 5 -6 R 5 -5 R 6 -5 R 7 -4 R 6 -3 R 8 -3 R 7 -2 R 8 -2 R 7 0 R 8 0 R 7 1 R 8 2 R 7 2 R 7 3 R 7 4 R 6 5 R 6 5 R 5 5 R 5 6 R 4 7 R 3 7 R 3 7 R 2 8 R 1 7 R 0 8 R D 8207 9103 M 0 7 R -1 8 R -2 7 R -3 8 R -3 7 R -4 6 R -5 6 R -5 6 R -6 5 R -6 4 R -7 4 R -7 3 R -7 3 R -8 2 R -7 1 R -8 0 R -7 -1 R -8 -1 R -7 -2 R -8 -3 R -6 -4 R -7 -4 R -6 -4 R -5 -6 R -5 -6 R -5 -6 R -3 -7 R -3 -7 R -3 -7 R -1 -8 R -1 -7 R 0 -8 R 1 -8 R 1 -7 R 3 -8 R 3 -7 R 3 -6 R 5 -7 R 5 -6 R 5 -5 R 6 -5 R 7 -4 R 6 -3 R 8 -3 R 7 -2 R 8 -2 R 7 0 R 8 0 R 7 1 R 8 2 R 7 2 R 7 3 R 7 4 R 6 5 R 6 5 R 5 5 R 5 6 R 4 7 R 3 7 R 3 7 R 2 8 R 1 7 R 0 8 R D 8361 9103 M 0 7 R -1 8 R -2 7 R -2 10 R -3 10 R -3 9 R -4 8 R -4 7 R -6 7 R -6 5 R -6 5 R -7 3 R -7 3 R -8 1 R -8 1 R -8 -1 R -8 -2 R -8 -3 R -8 -4 R -8 -5 R -7 -6 R -8 -7 R -6 -5 R -5 -6 R -5 -6 R -5 -6 R -3 -7 R -3 -7 R -2 -7 R -2 -8 R -1 -7 R 0 -8 R 1 -8 R 2 -7 R 2 -8 R 3 -7 R 3 -6 R 5 -7 R 5 -6 R 5 -5 R 6 -5 R 7 -4 R 6 -3 R 8 -3 R 7 -2 R 8 -2 R 7 0 R 8 0 R 7 1 R 8 2 R 7 2 R 7 3 R 7 4 R 6 5 R 6 5 R 5 5 R 5 6 R 4 7 R 3 7 R 3 7 R 2 8 R 1 7 R 0 8 R D 7206 9236 M 0 8 R -2 8 R -2 11 R -3 11 R -4 11 R -4 10 R -5 9 R -6 9 R -6 8 R -7 7 R -7 6 R -7 5 R -8 4 R -7 3 R -8 2 R -8 1 R -8 -1 R -8 -1 R -7 -3 R -7 -3 R -7 -5 R -6 -6 R -6 -6 R -5 -8 R -5 -8 R -4 -9 R -3 -10 R -2 -10 R -2 -10 R -1 -11 R 0 -12 R 1 -11 R 1 -10 R 1 -8 R 3 -7 R 3 -7 R 3 -7 R 5 -6 R 5 -6 R 5 -6 R 6 -4 R 7 -5 R 6 -3 R 8 -3 R 7 -2 R 7 -1 R 8 -1 R 8 0 R 7 1 R 8 2 R 7 2 R 7 4 R 7 3 R 6 5 R 6 5 R 5 6 R 5 6 R 4 6 R 3 7 R 3 7 R 2 8 R 1 8 R 0 7 R D 7360 9236 M 0 8 R -1 7 R -2 8 R -3 8 R -4 11 R -4 10 R -5 9 R -5 8 R -6 8 R -7 7 R -6 6 R -8 5 R -7 4 R -8 3 R -7 1 R -8 1 R -8 0 R -8 -2 R -7 -3 R -7 -4 R -7 -5 R -6 -5 R -6 -7 R -5 -8 R -5 -8 R -4 -10 R -3 -9 R -3 -11 R -2 -11 R -1 -9 R -1 -8 R 0 -8 R 1 -7 R 1 -8 R 3 -7 R 3 -7 R 3 -7 R 5 -6 R 5 -6 R 5 -6 R 6 -4 R 7 -5 R 6 -3 R 8 -3 R 7 -2 R 8 -1 R 7 -1 R 8 0 R 7 1 R 8 2 R 7 2 R 7 4 R 7 3 R 6 5 R 6 5 R 5 6 R 5 6 R 4 6 R 3 7 R 3 7 R 2 8 R 1 8 R 0 7 R D 7514 9236 M 0 8 R -1 7 R -2 8 R -3 7 R -3 9 R -4 10 R -5 9 R -5 9 R -6 7 R -6 7 R -7 6 R -7 4 R -8 4 R -7 3 R -8 1 R -8 1 R -7 -1 R -8 -2 R -7 -3 R -7 -4 R -7 -5 R -7 -6 R -6 -7 R -5 -8 R -5 -9 R -4 -9 R -3 -10 R -3 -9 R -3 -8 R -1 -7 R -1 -8 R 0 -8 R 1 -7 R 1 -8 R 3 -7 R 3 -7 R 3 -7 R 5 -6 R 5 -6 R 5 -6 R 6 -4 R 7 -5 R 6 -3 R 8 -3 R 7 -2 R 8 -1 R 7 -1 R 8 0 R 7 1 R 8 2 R 7 2 R 7 4 R 7 3 R 6 5 R 6 5 R 5 6 R 5 6 R 4 6 R 3 7 R 3 7 R 2 8 R 1 8 R 0 7 R D 7668 9236 M 0 8 R -1 7 R -2 8 R -3 8 R -3 10 R -4 10 R -4 9 R -5 8 R -6 8 R -6 6 R -7 6 R -7 4 R -7 4 R -8 2 R -7 1 R -8 1 R -8 -1 R -8 -2 R -7 -4 R -7 -4 R -7 -5 R -7 -6 R -6 -8 R -5 -8 R -5 -8 R -5 -10 R -3 -10 R -3 -7 R -3 -8 R -1 -7 R -1 -8 R 0 -8 R 1 -7 R 1 -8 R 3 -7 R 3 -7 R 3 -7 R 5 -6 R 5 -6 R 5 -6 R 6 -4 R 7 -5 R 6 -3 R 8 -3 R 7 -2 R 8 -1 R 7 -1 R 8 0 R 7 1 R 8 2 R 7 2 R 7 4 R 7 3 R 6 5 R 6 5 R 5 6 R 5 6 R 4 6 R 3 7 R 3 7 R 2 8 R 1 8 R 0 7 R D 7822 9236 M 0 8 R -1 8 R -2 11 R -2 10 R -3 11 R -4 9 R -4 9 R -5 8 R -6 7 R -6 7 R -6 5 R -7 4 R -7 4 R -8 2 R -8 1 R -7 0 R -8 -1 R -8 -3 R -8 -3 R -7 -4 R -7 -6 R -7 -6 R -6 -8 R -5 -8 R -6 -9 R -4 -9 R -4 -11 R -3 -9 R -3 -8 R -1 -7 R -1 -8 R 0 -8 R 1 -7 R 1 -8 R 3 -7 R 3 -7 R 3 -7 R 5 -6 R 5 -6 R 5 -6 R 6 -4 R 7 -5 R 6 -3 R 8 -3 R 7 -2 R 8 -1 R 7 -1 R 8 0 R 7 1 R 8 2 R 7 2 R 7 4 R 7 3 R 6 5 R 6 5 R 5 6 R 5 6 R 4 6 R 3 7 R 3 7 R 2 8 R 1 8 R 0 7 R D 7977 9241 M 0 11 R 0 11 R -2 11 R -2 10 R -3 10 R -3 10 R -4 8 R -5 8 R -6 7 R -6 6 R -6 6 R -7 4 R -8 3 R -7 2 R -8 1 R -8 -1 R -8 -1 R -7 -2 R -8 -4 R -7 -5 R -8 -5 R -6 -7 R -7 -7 R -6 -9 R -5 -9 R -5 -9 R -4 -10 R -3 -11 R -3 -11 R -2 -10 R -1 -8 R 0 -8 R 1 -7 R 1 -8 R 3 -7 R 3 -7 R 3 -7 R 5 -6 R 5 -6 R 5 -6 R 6 -4 R 7 -5 R 6 -3 R 8 -3 R 7 -2 R 8 -1 R 7 -1 R 8 0 R 7 1 R 8 2 R 7 2 R 7 4 R 7 3 R 6 5 R 6 5 R 5 6 R 5 6 R 4 6 R 3 7 R 3 7 R 2 8 R 1 8 R 1 12 R D %%PageTrailer end %%PageResources: font Helvetica %%Trailer %%Pages: 1 %%DocumentNeededResources: font Helvetica %%EOF %%EndDocument @endspecial 639 2682 a Fm(Because)31 b(the)h(v)n(olume)f(o)r(ccupied)h (b)n(y)f(the)h(spheres)f(of)h(particles)f(within)h(the)g(planet)515 2782 y(w)n(en)n(t)d(do)n(wn,)g(the)h(whole)f(big)g(sphere)g(of)g(test)h (particles)e(had)h(to)h(shrink.)41 b(No)n(w)29 b(consider)515 2882 y(the)e(follo)n(wing)f(question:)36 b(what)26 b(is)h(the)g(c)n (hange)f(in)h(v)n(olume)f(of)h(the)g(large)e(sphere)h(of)h(test)515 2981 y(particles?)36 b(All)28 b(the)g(little)g(green)f(spheres)g (shrank)f(b)n(y)h(the)h(same)f(fractional)g(amoun)n(t:)1361 3178 y Fl(\016)s(V)p 1361 3215 107 4 v 1381 3291 a(V)1501 3234 y Fm(=)1599 3178 y(1)p 1599 3215 42 4 v 1599 3291 a(2)1664 3092 y Fg( )1752 3157 y Fm(\177)1740 3178 y Fl(V)p 1740 3215 67 4 v 1740 3291 a(V)1817 3092 y Fg(!)1896 3234 y Fm(\()p Fl(\016)s(t)p Fm(\))2030 3200 y Ff(2)2091 3234 y Fm(=)c Fe(\000)2254 3178 y Fm(1)p 2254 3215 42 4 v 2254 3291 a(4)2305 3234 y Fl(\032)p Fm(\()p Fl(\016)s(t)p Fm(\))2482 3200 y Ff(2)2519 3234 y Fl(;)515 3487 y Fm(to)32 b(leading)g(order)f(in)i Fl(\016)s(t)p Fm(,)g(while)g(all)f(the)h (little)g(red)f(spheres)g(underw)n(en)n(t)f(no)i(c)n(hange)e(in)515 3587 y(v)n(olume.)k(So,)24 b(if)f Fl(V)1086 3599 y Fk(P)1166 3587 y Fm(stands)g(for)f(the)i(v)n(olume)f(o)r(ccupied)g(b)n(y)g(the)h (test)g(particles)e(that)i(w)n(ere)515 3686 y(initially)34 b(inside)f(the)i(planet,)g(and)f Fl(V)1719 3698 y Fk(S)1801 3686 y Fm(stands)f(for)h(the)g(v)n(olume)f(of)g(the)i(big)e(sphere)g Fl(S)5 b Fm(,)515 3786 y(then)28 b(the)g(o)n(v)n(erall)d(c)n(hange)i (in)h(v)n(olume)f(is)1534 3968 y Fl(\016)s(V)1622 3980 y Fk(S)1754 3968 y Fm(=)82 b Fl(\016)s(V)1989 3980 y Fk(P)1754 4134 y Fm(=)1901 4017 y Fg(\022)1972 4078 y Fl(\016)s(V)p 1972 4115 107 4 v 1992 4191 a(V)2089 4017 y Fg(\023)2164 4134 y Fl(V)2212 4146 y Fk(P)1754 4356 y Fm(=)g Fe(\000)1976 4300 y Fm(1)p 1976 4337 42 4 v 1976 4413 a(4)2027 4356 y Fl(\032)p Fm(\()p Fl(\016)s(t)p Fm(\))2204 4322 y Ff(2)2256 4356 y Fl(V)2304 4368 y Fk(P)1754 4556 y Fm(=)g Fe(\000)1976 4500 y Fm(1)p 1976 4537 V 1976 4613 a(4)2027 4556 y Fl(M)9 b Fm(\()p Fl(\016)s(t)p Fm(\))2251 4522 y Ff(2)2289 4556 y Fl(:)639 4762 y Fm(W)-7 b(e)28 b(can)f(also)g(express)f Fl(\016)s(V)1478 4774 y Fk(S)1555 4762 y Fm(in)h(terms)h(of)f(the)h(c)n(hange)f(in)h(the)g (sphere's)e(radius,)h Fl(\016)s(r)r Fm(:)1690 4945 y Fl(\016)s(V)1778 4957 y Fk(S)1849 4945 y Fm(=)c(4)p Fl(\031)s(r)2068 4910 y Ff(2)2106 4945 y Fl(\016)s(r)n(:)1926 5255 y Fm(9)p eop end %%Page: 10 10 TeXDict begin 10 9 bop 515 523 a Fm(Setting)28 b(the)g(t)n(w)n(o)f (expressions)e(for)i Fl(\016)s(V)1748 535 y Fk(S)1825 523 y Fm(equal,)g(w)n(e)g(see)1607 743 y Fl(\016)s(r)f Fm(=)c Fe(\000)1932 687 y Fl(M)p 1872 724 211 4 v 1872 800 a Fm(16)p Fl(\031)s(r)2045 776 y Ff(2)2092 743 y Fm(\()p Fl(\016)s(t)p Fm(\))2226 709 y Ff(2)2264 743 y Fl(:)515 948 y Fm(But)27 b(the)h(c)n(hange)d(in)j(radius)e Fl(\016)s(r)k Fm(is)d(just)h(the)f(radial)f(displacemen)n(t)h(of)g(a)f (test)i(particle)e(on)515 1048 y(the)i(outer)f(edge)h(of)f(the)i (sphere,)e(so)g Fl(\016)s(r)f Fm(=)1888 1015 y Ff(1)p 1888 1029 34 4 v 1888 1076 a(2)1931 1048 y Fl(a)p Fm(\()p Fl(\016)s(t)p Fm(\))2109 1018 y Ff(2)2175 1048 y Fm(where)h Fl(a)h Fm(is)g(the)g(radial)f(acceleration)515 1147 y(of)g(this)h (particle.)37 b(Plugging)26 b(this)h(in)n(to)h(the)g(ab)r(o)n(v)n(e)e (equation,)h(w)n(e)g(obtain)1731 1367 y Fl(a)c Fm(=)g Fe(\000)2000 1311 y Fl(M)p 1961 1348 169 4 v 1961 1424 a Fm(8)p Fl(\031)s(r)2092 1400 y Ff(2)2139 1367 y Fl(:)515 1572 y Fm(W)-7 b(e'v)n(e)34 b(b)r(een)h(w)n(orking)d(all)i(along)f(in)i (units)g(in)f(whic)n(h)h(8)p Fl(\031)s(G)f Fm(=)g(1.)57 b(Switc)n(hing)34 b(bac)n(k)f(to)515 1672 y(con)n(v)n(en)n(tional)25 b(units,)j(w)n(e)g(obtain)1750 1809 y Fl(a)23 b Fm(=)f Fe(\000)1979 1753 y Fl(GM)p 1979 1790 155 4 v 2018 1866 a(r)2057 1842 y Ff(2)515 1982 y Fm(just)28 b(as)f(Newton)h(said.)515 2197 y Fd(The)k(Big)f(Bang)515 2351 y Fm(W)-7 b(e)39 b(can)g(also)f(deriv)n(e)g(some)g(basic)h(facts)f(ab)r(out)h(the)h(big) f(bang)f(cosmology)-7 b(.)69 b(Let)39 b(us)515 2450 y(assume)25 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Fm(,)i(L.)c(Hughston)g(and)g(K.)f (P)-7 b(.)41 b(T)-7 b(o)r(d)41 b(\(Cam)n(bridge)515 3586 y(Univ)n(ersit)n(y)26 b(Press,)h(Cam)n(bridge,)f(1991\).)515 3735 y Fj(A)d(First)g(Course)h(in)f(Gener)l(al)h(R)l(elativity)p Fm(,)f(B.)d(F.)h(Sc)n(h)n(utz)f(\(Cam)n(bridge)g(Univ)n(ersit)n(y)g (Press,)515 3835 y(Cam)n(bridge,)26 b(1985\).)515 3984 y Fj(Gener)l(al)g(R)l(elativity:)37 b(A)n(n)25 b(Intr)l(o)l(duction)g (to)h(the)g(The)l(ory)h(of)g(the)e(Gr)l(avitational)j(Field)p Fm(,)e(H.)515 4084 y(Stephani)i(\(Cam)n(bridge)e(Univ)n(ersit)n(y)h (Press,)f(Cam)n(bridge,)g(1990\).)515 4316 y Fb(More)37 b(Comprehensiv)m(e)i(T)-9 b(exts)515 4470 y Fm(T)i(o)33 b(b)r(ecome)h(a)f(exp)r(ert)h(on)f(general)g(relativit)n(y)-7 b(,)34 b(one)g(really)e(m)n(ust)i(tac)n(kle)f(these)h(classic)515 4569 y(texts:)515 4719 y Fj(Gr)l(avitation)p Fm(,)d(C.)e(W.)g(Misner,)h (K.)e(S.)i(Thorne,)f(and)g(J.)g(A.)g(Wheeler)g(\(W.)h(H.)g(F)-7 b(reeman,)515 4818 y(New)28 b(Y)-7 b(ork,)26 b(1973\).)515 4968 y Fj(Gener)l(al)k(R)l(elativity)p Fm(,)f(R.)e(M.)h(W)-7 b(ald)28 b(\(Univ)n(ersit)n(y)f(of)h(Chicago)e(Press,)g(Chicago,)g (1984\).)1905 5255 y(20)p eop end %%Page: 21 21 TeXDict begin 21 20 bop 515 523 a Fm(Along)27 b(with)i(these)f(textb)r (o)r(oks,)g(y)n(ou'll)g(w)n(an)n(t)f(to)h(do)g(lots)g(of)g(problems!)38 b(This)28 b(b)r(o)r(ok)f(is)h(a)515 623 y(useful)g(supplemen)n(t:)515 772 y Fj(Pr)l(oblem)45 b(Bo)l(ok)g(in)g(R)l(elativity)g(and)f(Gr)l (avitation)p Fm(,)49 b(A.)44 b(Ligh)n(tman)f(and)g(R.)g(H.)h(Price)515 872 y(\(Princeton)27 b(Univ)n(ersit)n(y)f(Press,)g(Princeton,)h (1975\).)515 1104 y Fb(Exp)s(erimen)m(tal)38 b(T)-9 b(ests)515 1257 y Fm(The)33 b(exp)r(erimen)n(tal)f(supp)r(ort)h(for)f(general)g (relativit)n(y)g(up)h(to)g(the)g(early)f(1990s)e(is)j(sum-)515 1357 y(marized)27 b(in:)515 1506 y Fj(The)l(ory)34 b(and)e(Exp)l (eriment)h(in)f(Gr)l(avitational)i(Physics)p Fm(,)f(Revised)d(Edition,) h(C.)g(M.)f(Will)515 1606 y(\(Cam)n(bridge)c(Univ)n(ersit)n(y)h(Press,) f(Cam)n(bridge,)g(1993\).)515 1756 y(A)i(more)e(up-to-date)h(treatmen)n (t)h(of)f(the)h(sub)5 b(ject)28 b(can)f(b)r(e)h(found)g(in:)515 1905 y(\\The)g(Confron)n(tation)f(b)r(et)n(w)n(een)h(General)g (Relativit)n(y)g(and)g(Exp)r(erimen)n(t,")g(C.)h(M.)f(Will,)515 2005 y Fj(Living)i(R)l(eviews)h(in)e(R)l(elativity)g Fm(4,)e(4)g(\(2001\).)36 b(Av)-5 b(ailable)27 b(online)h(at:)515 2104 y(h)n(ttp://www.livingreviews.org/lrr-200)o(1-)o(4)515 2337 y Fb(Di\013eren)m(tial)38 b(Geometry)515 2490 y Fm(The)j(serious)f(studen)n(t)h(of)h(general)d(relativit)n(y)i(will)g (exp)r(erience)g(a)f(constan)n(t)h(need)g(to)515 2589 y(learn)24 b(more)h(tensor)g(calculus)g(|)g(or)g(in)g(mo)r(dern)g (terminology)-7 b(,)25 b(`di\013eren)n(tial)g(geometry'.)515 2689 y(Some)j(of)h(this)f(can)g(b)r(e)h(found)g(in)g(the)g(texts)g (listed)f(ab)r(o)n(v)n(e,)g(but)h(it)g(is)f(also)g(go)r(o)r(d)g(to)g (read)515 2789 y(mathematics)f(texts.)37 b(Here)27 b(are)g(a)g(few:)515 2938 y Fj(Gauge)22 b(Fields,)j(Knots)c(and)h(Gr)l(avity)p Fm(,)g(J.)c(C.)h(Baez)f(and)g(J.)h(P)-7 b(.)18 b(Muniain)h(\(W)-7 b(orld)19 b(Scien)n(ti\014c,)515 3038 y(Singap)r(ore,)26 b(1994\).)515 3187 y Fj(A)n(n)i(Intr)l(o)l(duction)g(to)g(Di\013er)l (entiable)i(Manifolds)h(and)e(R)n(iemannian)g(Ge)l(ometry)p Fm(,)e(W.)g(M.)515 3287 y(Bo)r(oth)n(b)n(y)f(\(Academic)i(Press,)e(New) i(Y)-7 b(ork,)27 b(1986\).)515 3436 y Fj(Semi-R)n(iemannian)37 b(Ge)l(ometry)h(with)g(Applic)l(ations)h(to)e(R)l(elativity)p Fm(,)i(B.)d(O'Neill)f(\(Aca-)515 3536 y(demic)28 b(Press,)e(New)i(Y)-7 b(ork,)26 b(1983\).)515 3768 y Fb(Sp)s(eci\014c)38 b(T)-9 b(opics)515 3922 y Fm(The)35 b(references)f(ab)r(o)n(v)n(e)f(are)h(ab)r (out)h(general)f(relativit)n(y)g(as)g(a)g(whole.)59 b(Here)35 b(are)f(some)515 4021 y(suggested)f(starting)g(p)r(oin)n(ts)h(for)f (some)g(of)h(the)h(particular)d(topics)i(touc)n(hed)g(on)g(in)g(this) 515 4121 y(article.)515 4337 y Fd(The)d(meaning)e(of)i(Einstein's)d (equation.)83 b Fm(F)-7 b(eynman)26 b(giv)n(es)g(a)g(quite)h (di\013eren)n(t)g(ap-)515 4436 y(proac)n(h)f(to)h(this)h(in:)515 4586 y Fj(The)33 b(F)-6 b(eynman)32 b(L)l(e)l(ctur)l(es)e(on)i(Gr)l (avitation)p Fm(,)g(R.)f(P)-7 b(.)29 b(F)-7 b(eynman)30 b(et)g(al.)g(\(W)-7 b(estview)31 b(Press,)515 4685 y(Boulder,)c (Colorado,)e(2002\).)515 4835 y(His)36 b(approac)n(h)f(fo)r(cuses)h(on) h(the)f(curv)-5 b(ature)36 b(of)h(space)e(rather)h(than)h(the)f(curv)-5 b(ature)36 b(of)515 4934 y(spacetime.)1905 5255 y(21)p eop end %%Page: 22 22 TeXDict begin 22 21 bop 515 523 a Fd(The)45 b(Ra)m(yc)m(haudh)m(uri)j (equation.)83 b Fm(This)39 b(equation,)j(whic)n(h)d(is)g(closely)f (related)h(to)515 623 y(our)30 b(form)n(ulation)f(of)i(Einstein's)g (equation,)g(is)f(treated)g(in)h(some)g(standard)e(textb)r(o)r(oks,)515 722 y(including)22 b(the)h(one)g(b)n(y)f(W)-7 b(ald)23 b(men)n(tioned)f(ab)r(o)n(v)n(e.)34 b(A)23 b(detailed)g(discussion)f (can)g(b)r(e)h(found)515 822 y(in)515 971 y Fj(Gr)l(avitation)37 b(and)f(Inertia)p Fm(,)g(I.)e(Ciufolini)h(and)e(J.)h(A.)h(Wheeler)f (\(Princeton)f(Univ)n(ersit)n(y)515 1071 y(Press,)26 b(Princeton,)h(1995\).)515 1287 y Fd(Gra)m(vitational)36 b(w)m(a)m(v)m(es.)84 b Fm(Here)31 b(are)f(t)n(w)n(o)g(non)n(tec)n (hnical)g(descriptions)g(of)h(the)h(binary)515 1386 y(pulsar)26 b(w)n(ork)h(for)g(whic)n(h)g(Hulse)h(and)f(T)-7 b(a)n(ylor)26 b(w)n(on)h(the)h(Nob)r(el)g(Prize:)515 1536 y(\\The)39 b(Binary)f(Pulsar:)59 b(Gra)n(vit)n(y)38 b(W)-7 b(a)n(v)n(es)38 b(Exist,")k(C.)d(M.)h(Will,)j Fj(Mer)l(cury)p Fm(,)g(No)n(v-Dec)515 1635 y(1987,)26 b(p.)h(162.)515 1785 y(\\Gra)n(vitational)f(W)-7 b(a)n(v)n(es)28 b(from)h(an)g(Orbiting)f(Pulsar,")g(J.)g(M.)i(W)-7 b(eisb)r(erg,)29 b(J.)f(H.)i(T)-7 b(a)n(ylor,)515 1885 y(and)27 b(L.)h(A.)g(F)-7 b(o)n(wler,)26 b Fj(Scienti\014c)k(A)n(meric) l(an)p Fm(,)e(Oct)g(1981,)d(p.)j(74.)515 2034 y(Here)33 b(is)g(a)f(review)h(article)f(on)h(the)h(ongoing)d(e\013orts)i(to)g (directly)g(detect)h(gra)n(vitational)515 2134 y(w)n(a)n(v)n(es:)515 2283 y(\\Detection)c(of)h(Gra)n(vitational)e(W)-7 b(a)n(v)n(es,")30 b(J.)h(Lu,)g(D.)h(G.)f(Blair,)f(and)h(C.)g(Zhao,)f Fj(R)l(ep)l(orts)515 2383 y(on)g(Pr)l(o)l(gr)l(ess)g(in)f(Physics)p Fm(,)h(63,)c(1317-1427)e (\(2000\).)515 2532 y(Some)31 b(presen)n(t)f(and)i(future)f(exp)r (erimen)n(ts)g(to)g(detect)h(gra)n(vitational)d(radiation)h(are)g(de-) 515 2632 y(scrib)r(ed)d(here:)515 2781 y Fj(LIGO)i(L)l(ab)l(or)l(atory) i(Home)f(Page)p Fm(,)f(h)n(ttp://www.ligo.caltec)n(h.edu/)515 2931 y Fj(The)h(Vir)l(go)h(Pr)l(oje)l(ct)p Fm(,)d(h)n (ttp://www.virgo.infn.it/)515 3080 y Fj(L)l(aser)i(Interfer)l(ometer)g (Sp)l(ac)l(e)g(A)n(ntenna)p Fm(,)c(h)n(ttp://lisa.jpl.nasa.go)n(v/)515 3296 y Fd(Blac)m(k)31 b(holes.)82 b Fm(Astroph)n(ysical)25 b(evidence)h(that)h(blac)n(k)e(holes)h(exist)h(is)f(summarized)g(in:) 515 3445 y(\\Evidence)g(for)h(Blac)n(k)g(Holes,")g(M.)g(C.)h(Begelman,) f Fj(Scienc)l(e)p Fm(,)h(300,)e(1898-1903)e(\(2003\).)515 3595 y(A)i(less)g(tec)n(hnical)g(discussion)f(of)i(the)f(particular)f (case)g(of)i(the)f(sup)r(ermassiv)n(e)f(blac)n(k)g(hole)515 3694 y(at)i(the)h(cen)n(ter)f(of)h(our)f(Milky)g(W)-7 b(a)n(y)27 b(Galaxy)g(can)g(b)r(e)h(found)g(here:)515 3844 y Fj(The)36 b(Black)h(Hole)f(at)g(the)g(Center)f(of)h(Our)f (Galaxy)p Fm(,)i(F.)d(Melia)g(\(Princeton)f(Univ)n(ersit)n(y)515 3943 y(Press,)26 b(Princeton,)h(2003\).)515 4159 y Fd(Cosmology)-8 b(.)80 b Fm(There)32 b(are)g(lots)g(of)g(go)r(o)r(d)g(p)r(opular)g(b)r (o)r(oks)g(on)g(cosmology)-7 b(.)49 b(Since)33 b(the)515 4259 y(sub)5 b(ject)35 b(is)g(c)n(hanging)f(rapidly)-7 b(,)37 b(pic)n(k)e(one)g(that)h(is)f(up)h(to)f(date.)60 b(A)n(t)36 b(the)g(time)f(of)h(this)515 4358 y(writing,)27 b(w)n(e)g(recommend:)515 4508 y Fj(The)i(Extr)l(avagant)f(Universe:)38 b(Explo)l(ding)29 b(Stars,)g(Dark)f(Ener)l(gy,)h(and)g(the)f(A)l(c)l(c) l(eler)l(ating)515 4608 y(Cosmos)p Fm(,)h(R.)e(P)-7 b(.)28 b(Kirshner)e(\(Princeton)h(Univ)n(ersit)n(y)f(Press,)h(Princeton,)f (2002\).)515 4757 y(A)i(go)r(o)r(d)f(online)g(source)f(of)i (cosmological)d(information)i(is:)515 4906 y Fj(Ne)l(d)j(Wright's)g (Cosmolo)l(gy)i(T)-6 b(utorial)p Fm(,)515 5006 y(h)n (ttp://www.astro.ucla.edu/)p Fe(\030)p Fm(wrigh)n(t/cosmolog)o(.h)n(tm) 1905 5255 y(22)p eop end %%Page: 23 23 TeXDict begin 23 22 bop 515 523 a Fm(The)23 b(follo)n(wing)g(cosmology) e(textb)r(o)r(oks)i(are)f(arranged)f(in)j(increasing)e(order)g(of)h (tec)n(hnical)515 623 y(di\016cult)n(y:)515 772 y Fj(Cosmolo)l(gy:)39 b(The)27 b(Scienc)l(e)g(of)h(the)f(Universe)p Fm(,)e(2nd)f(ed.,)h(E.)f (Harrison)f(\(Cam)n(bridge)g(Uni-)515 872 y(v)n(ersit)n(y)j(Press,)g (Cam)n(bridge,)g(2000\).)515 1021 y Fj(Cosmolo)l(gy:)68 b(a)44 b(First)g(Course)p Fm(,)j(M.)42 b(Lac)n(hi)n(\022)-39 b(eze-Rey)40 b(\(Cam)n(bridge)i(Univ)n(ersit)n(y)g(Press,)515 1121 y(Cam)n(bridge,)26 b(1995\).)515 1270 y Fj(Principles)31 b(of)e(Physic)l(al)i(Cosmolo)l(gy)p Fm(,)f(P)-7 b(.)26 b(J.)h(E.)f(P)n(eebles)g(\(Princeton)g(Univ)n(ersit)n(y)g(Press,)515 1370 y(Princeton,)g(1993\).)515 1519 y Fj(The)g(Early)h(Universe)p Fm(,)d(E.)e(W.)h(Kolb)g(and)f(M.)h(S.)g(T)-7 b(urner)22 b(\(Addison{W)-7 b(esley)g(,)24 b(New)f(Y)-7 b(ork,)515 1619 y(1990\).)515 1768 y Fj(The)43 b(L)l(ar)l(ge-Sc)l(ale)f(Structur)l (e)e(of)i(Sp)l(ac)l(etime)p Fm(,)j(S.)c(W.)g(Ha)n(wking)f(and)h(G.)g (F.)g(R.)g(Ellis)515 1868 y(\(Cam)n(bridge)26 b(Univ)n(ersit)n(y)h (Press,)f(Cam)n(bridge,)g(1975\).)515 2143 y Fn(Ac)l(kno)l(wledgmen)l (t)515 2324 y Fm(E.F.B.)h(is)h(supp)r(orted)f(b)n(y)g(National)g (Science)h(F)-7 b(oundation)27 b(gran)n(t)g(0233969.)1905 5255 y(23)p eop end %%Trailer userdict /end-hook known{end-hook}if %%EOF
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