158 Pages

lab03

Course: MATH 250, Fall 2008
School: Rutgers
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Word Count: 130318

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%%Creator: %!PS-Adobe-2.0 dvips 5.528 Copyright 1986, 1994 Radical Eye Software %%Title: lab03.dvi %%CreationDate: Wed Dec 12 19:41:45 2001 %%Pages: 4 %%PageOrder: Ascend %%BoundingBox: 0 0 612 792 %%DocumentFonts: CMBXSL10 CMR10 CMBX12 CMSY10 CMTI12 CMBX10 CMTI10 %%+ CMTT10 CMR7 CMMI10 CMSY7 %%EndComments %DVIPSCommandLine: dvips lab03.dvi -o lab03.ps %DVIPSParameters: dpi=300, comments removed %DVIPSSource: TeX...

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%%Creator: %!PS-Adobe-2.0 dvips 5.528 Copyright 1986, 1994 Radical Eye Software %%Title: lab03.dvi %%CreationDate: Wed Dec 12 19:41:45 2001 %%Pages: 4 %%PageOrder: Ascend %%BoundingBox: 0 0 612 792 %%DocumentFonts: CMBXSL10 CMR10 CMBX12 CMSY10 CMTI12 CMBX10 CMTI10 %%+ CMTT10 CMR7 CMMI10 CMSY7 %%EndComments %DVIPSCommandLine: dvips lab03.dvi -o lab03.ps %DVIPSParameters: dpi=300, comments removed %DVIPSSource: TeX output 2001.12.12:1148 %%BeginProcSet: tex.pro /TeXDict 250 dict def TeXDict begin /N{def}def /B{bind def}N /S{exch}N /X{S N}B /TR{translate}N /isls false N /vsize 11 72 mul N /hsize 8.5 72 mul N /landplus90{false}def /@rigin{isls{[0 landplus90{1 -1}{-1 1} ifelse 0 0 0]concat}if 72 Resolution div 72 VResolution div neg scale isls{landplus90{VResolution 72 div vsize mul 0 exch}{Resolution -72 div hsize mul 0}ifelse TR}if Resolution VResolution vsize -72 div 1 add mul TR matrix currentmatrix dup dup 4 get round 4 exch put dup dup 5 get round 5 exch put setmatrix}N /@landscape{/isls true N}B /@manualfeed{ statusdict /manualfeed true put}B /@copies{/#copies X}B /FMat[1 0 0 -1 0 0]N /FBB[0 0 0 0]N /nn 0 N /IE 0 N /ctr 0 N /df-tail{/nn 8 dict N nn begin /FontType 3 N /FontMatrix fntrx N /FontBBox FBB N string /base X array /BitMaps X /BuildChar{CharBuilder}N /Encoding IE N end dup{/foo setfont}2 array copy cvx N load 0 nn put /ctr 0 N[}B /df{/sf 1 N /fntrx FMat N df-tail}B /dfs{div /sf X /fntrx[sf 0 0 sf neg 0 0]N df-tail}B /E{ pop nn dup definefont setfont}B /ch-width{ch-data dup length 5 sub get} B /ch-height{ch-data dup length 4 sub get}B /ch-xoff{128 ch-data dup length 3 sub get sub}B /ch-yoff{ch-data dup length 2 sub get 127 sub}B /ch-dx{ch-data dup length 1 sub get}B /ch-image{ch-data dup type /stringtype ne{ctr get /ctr ctr 1 add N}if}B /id 0 N /rw 0 N /rc 0 N /gp 0 N /cp 0 N /G 0 N /sf 0 N /CharBuilder{save 3 1 roll S dup /base get 2 index get S /BitMaps get S get /ch-data X pop /ctr 0 N ch-dx 0 ch-xoff ch-yoff ch-height sub ch-xoff ch-width add ch-yoff setcachedevice ch-width ch-height true[1 0 0 -1 -.1 ch-xoff sub ch-yoff .1 add]{ ch-image}imagemask restore}B /D{/cc X dup type /stringtype ne{]}if nn /base get cc ctr put nn /BitMaps get S ctr S sf 1 ne{dup dup length 1 sub dup 2 index S get sf div put}if put /ctr ctr 1 add N}B /I{cc 1 add D }B /bop{userdict /bop-hook known{bop-hook}if /SI save N @rigin 0 0 moveto /V matrix currentmatrix dup 1 get dup mul exch 0 get dup mul add .99 lt{/QV}{/RV}ifelse load def pop pop}N /eop{SI restore showpage userdict /eop-hook known{eop-hook}if}N /@start{userdict /start-hook known{start-hook}if pop /VResolution X /Resolution X 1000 div /DVImag X /IE 256 array N 0 1 255{IE S 1 string dup 0 3 index put cvn put}for 65781.76 div /vsize X 65781.76 div /hsize X}N /p{show}N /RMat[1 0 0 -1 0 0]N /BDot 260 string N /rulex 0 N /ruley 0 N /v{/ruley X /rulex X V}B /V {}B /RV statusdict begin /product where{pop product dup length 7 ge{0 7 getinterval dup(Display)eq exch 0 4 getinterval(NeXT)eq or}{pop false} ifelse}{false}ifelse end{{gsave TR -.1 -.1 TR 1 1 scale rulex ruley false RMat{BDot}imagemask grestore}}{{gsave TR -.1 -.1 TR rulex ruley scale 1 1 false RMat{BDot}imagemask grestore}}ifelse B /QV{gsave transform round exch round exch itransform moveto rulex 0 rlineto 0 ruley neg rlineto rulex neg 0 rlineto fill grestore}B /a{moveto}B /delta 0 N /tail{dup /delta X 0 rmoveto}B /M{S p delta add tail}B /b{S p tail} B /c{-4 M}B /d{-3 M}B /e{-2 M}B /f{-1 M}B /g{0 M}B /h{1 M}B /i{2 M}B /j{ 3 M}B /k{4 M}B /w{0 rmoveto}B /l{p -4 w}B /m{p -3 w}B /n{p -2 w}B /o{p -1 w}B /q{p 1 w}B /r{p 2 w}B /s{p 3 w}B /t{p 4 w}B /x{0 S rmoveto}B /y{ 3 2 roll p a}B /bos{/SS save N}B /eos{SS restore}B end %%EndProcSet %%BeginFont: CMBXSL10 %!PS-AdobeFont-1.1: CMBXSL10 1.0 %%CreationDate: 1991 Aug 20 16:36:44 % 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 (CMBXSL10) readonly def /FamilyName (Computer Modern) readonly def /Weight (Bold) readonly def /ItalicAngle -9.46 def /isFixedPitch false def end readonly def /FontName /CMBXSL10 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 161 /Gamma put dup 162 /Delta put dup 163 /Theta put dup 164 /Lambda put dup 165 /Xi put dup 166 /Pi put dup 167 /Sigma put dup 168 /Upsilon put dup 169 /Phi put dup 170 /Psi put dup 173 /Omega put dup 174 /ff put dup 175 /fi put dup 176 /fl put dup 177 /ffi put dup 178 /ffl put dup 179 /dotlessi put dup 180 /dotlessj put dup 181 /grave put dup 182 /acute put dup 183 /caron put dup 184 /breve put dup 185 /macron put dup 186 /ring put dup 187 /cedilla put dup 188 /germandbls put dup 189 /ae put dup 190 /oe put dup 191 /oslash put dup 192 /AE put dup 193 /OE put dup 194 /Oslash put dup 195 /suppress put dup 196 /dieresis 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 0 /Gamma put 1 /Delta put 2 /Theta put 3 /Lambda put 4 /Xi put 5 /Pi put 6 /Sigma put 7 /Upsilon put 8 /Phi put 9 /Psi put 10 /Omega put 11 /ff put 12 /fi put 13 /fl put 14 /ffi put 15 /ffl put 16 /dotlessi put 17 /dotlessj put 18 /grave put 19 /acute put 20 /caron put 21 /breve put 22 /macron put 23 /ring put 24 /cedilla put 25 /germandbls put 26 /ae put 27 /oe put 28 /oslash put 29 /AE put 30 /OE put 31 /Oslash put 32 /suppress put 33 /exclam put 34 /quotedblright put 35 /numbersign put 36 /dollar put 37 /percent put 38 /ampersand put 39 /quoteright put 40 /parenleft put 41 /parenright put 42 /asterisk put 43 /plus put 44 /comma put 45 /hyphen put 46 /period put 47 /slash 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 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 59 /semicolon put 60 /exclamdown put 61 /equal put 62 /questiondown put 63 /question put 64 /at put 65 /A put 66 /B put 67 /C put 68 /D put 69 /E put 70 /F put 71 /G put 72 /H put 73 /I put 74 /J put 75 /K put 76 /L put 77 /M put 78 /N put 79 /O put 80 /P put 81 /Q put 82 /R put 83 /S put 84 /T put 85 /U put 86 /V put 87 /W put 88 /X put 89 /Y put 90 /Z put 91 /bracketleft put 92 /quotedblleft put 93 /bracketright put 94 /circumflex put 95 /dotaccent put 96 /quoteleft put 97 /a put 98 /b put 99 /c put 100 /d put 101 /e put 102 /f put 103 /g put 104 /h put 105 /i put 106 /j put 107 /k put 108 /l put 109 /m put 110 /n put 111 /o put 112 /p put 113 /q put 114 /r put 115 /s put 116 /t put 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 125 /hungarumlaut put dup 126 /tilde put dup 127 /dieresis put dup 128 /suppress put dup 160 /space put readonly def /FontBBox{-75 -250 1278 750}readonly def /UniqueID 5000770 def currentdict end currentfile eexec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%%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 161 /Gamma put dup 162 /Delta put dup 163 /Theta put dup 164 /Lambda put dup 165 /Xi put dup 166 /Pi put dup 167 /Sigma put dup 168 /Upsilon put dup 169 /Phi put dup 170 /Psi put dup 173 /Omega put dup 174 /ff put dup 175 /fi put dup 176 /fl put dup 177 /ffi put dup 178 /ffl put dup 179 /dotlessi put dup 180 /dotlessj put dup 181 /grave put dup 182 /acute put dup 183 /caron put dup 184 /breve put dup 185 /macron put dup 186 /ring put dup 187 /cedilla put dup 188 /germandbls put dup 189 /ae put dup 190 /oe put dup 191 /oslash put dup 192 /AE put dup 193 /OE put dup 194 /Oslash put dup 195 /suppress put dup 196 /dieresis put dup 0 /Gamma put dup 1 /Delta 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 2 /Theta put 3 /Lambda put 4 /Xi put 5 /Pi put 6 /Sigma put 7 /Upsilon put 8 /Phi put 9 /Psi put 10 /Omega put 11 /ff put 12 /fi put 13 /fl put 14 /ffi put 15 /ffl put 16 /dotlessi put 17 /dotlessj put 18 /grave put 19 /acute put 20 /caron put 21 /breve put 22 /macron put 23 /ring put 24 /cedilla put 25 /germandbls put 26 /ae put 27 /oe put 28 /oslash put 29 /AE put 30 /OE put 31 /Oslash put 32 /suppress put 33 /exclam put 34 /quotedblright put 35 /numbersign put 36 /dollar put 37 /percent put 38 /ampersand put 39 /quoteright put 40 /parenleft put 41 /parenright put 42 /asterisk put 43 /plus put 44 /comma put 45 /hyphen put 46 /period put 47 /slash 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 60 /exclamdown 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 61 /equal put 62 /questiondown put 63 /question put 64 /at put 65 /A put 66 /B put 67 /C put 68 /D put 69 /E put 70 /F put 71 /G put 72 /H put 73 /I put 74 /J put 75 /K put 76 /L put 77 /M put 78 /N put 79 /O put 80 /P put 81 /Q put 82 /R put 83 /S put 84 /T put 85 /U put 86 /V put 87 /W put 88 /X put 89 /Y put 90 /Z put 91 /bracketleft put 92 /quotedblleft put 93 /bracketright put 94 /circumflex put 95 /dotaccent put 96 /quoteleft put 97 /a put 98 /b put 99 /c put 100 /d put 101 /e put 102 /f put 103 /g put 104 /h put 105 /i put 106 /j put 107 /k put 108 /l put 109 /m put 110 /n put 111 /o put 112 /p put 113 /q put 114 /r put 115 /s put 116 /t put 117 /u put 118 /v put 119 /w put dup 120 /x put dup 121 /y put dup 122 /z put dup 123 /endash put dup 124 /emdash put dup 125 /hungarumlaut put dup 126 /tilde put dup 127 /dieresis put dup 128 /suppress put dup 160 /space put readonly def /FontBBox{-251 -250 1009 969}readonly def /UniqueID 5000793 def currentdict end currentfile eexec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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 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 161 /Gamma put 162 /Delta put 163 /Theta put 164 /Lambda put 165 /Xi put 166 /Pi put 167 /Sigma put 168 /Upsilon put 169 /Phi put 170 /Psi put 173 /Omega put 174 /ff put 175 /fi put 176 /fl put 177 /ffi put 178 /ffl put 179 /dotlessi put 180 /dotlessj put 181 /grave put 182 /acute put 183 /caron put 184 /breve put 185 /macron put 186 /ring put 187 /cedilla put 188 /germandbls put 189 /ae put 190 /oe put 191 /oslash put 192 /AE put 193 /OE put 194 /Oslash put 195 /suppress put 196 /dieresis put 0 /Gamma put 1 /Delta put 2 /Theta put 3 /Lambda put 4 /Xi put 5 /Pi put 6 /Sigma put 7 /Upsilon put 8 /Phi put 9 /Psi put 10 /Omega put 11 /ff put 12 /fi put 13 /fl put 14 /ffi put 15 /ffl put 16 /dotlessi put 17 /dotlessj put 18 /grave put 19 /acute put 20 /caron put 21 /breve put 22 /macron put 23 /ring put 24 /cedilla 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 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 /germandbls put /ae put /oe put /oslash put /AE put /OE put /Oslash put /suppress put /exclam put /quotedblright put /numbersign put /dollar put /percent put /ampersand put /quoteright put /parenleft put /parenright put /asterisk put /plus put /comma put /hyphen put /period put /slash put /zero put /one put /two put /three put /four put /five put /six put /seven put /eight put /nine put /colon put /semicolon put /exclamdown put /equal put /questiondown put /question put /at put /A put /B put /C put /D put /E put /F put /G put /H put /I put /J put /K put /L put /M put /N put /O put /P put /Q put /R put /S put dup 84 /T put dup 85 /U put dup 86 /V put dup 87 /W put dup 88 /X put dup 89 /Y put dup 90 /Z put dup 91 /bracketleft put dup 92 /quotedblleft put dup 93 /bracketright put dup 94 /circumflex put dup 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 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cleartomark %%EndFont %%BeginFont: CMSY10 %!PS-AdobeFont-1.1: CMSY10 1.0 %%CreationDate: 1991 Aug 15 07:20:57 % Copyright (C) 1997 American Mathematical Society. All Rights Reserved. 11 dict begin /FontInfo 7 dict dup begin /version (1.0) readonly def /Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def /FullName (CMSY10) readonly def /FamilyName (Computer Modern) readonly def /Weight (Medium) readonly def /ItalicAngle -14.035 def /isFixedPitch false def end readonly def /FontName /CMSY10 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 161 /minus put dup 162 /periodcentered put dup 163 /multiply put dup 164 /asteriskmath put dup 165 /divide put dup 166 /diamondmath put dup 167 /plusminus put dup 168 /minusplus put dup 169 /circleplus put dup 170 /circleminus put dup 173 /circlemultiply put dup 174 /circledivide put dup 175 /circledot put dup 176 /circlecopyrt put dup 177 /openbullet put dup 178 /bullet put dup 179 /equivasymptotic put dup 180 /equivalence put dup 181 /reflexsubset put dup 182 /reflexsuperset put dup 183 /lessequal put dup 184 /greaterequal put dup 185 /precedesequal put dup 186 /followsequal put dup 187 /similar put dup 188 /approxequal put dup 189 /propersubset put dup 190 /propersuperset put dup 191 /lessmuch put dup 192 /greatermuch put dup 193 /precedes put dup 194 /follows 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 195 /arrowleft put 196 /spade put 0 /minus put 1 /periodcentered put 2 /multiply put 3 /asteriskmath put 4 /divide put 5 /diamondmath put 6 /plusminus put 7 /minusplus put 8 /circleplus put 9 /circleminus put 10 /circlemultiply put 11 /circledivide put 12 /circledot put 13 /circlecopyrt put 14 /openbullet put 15 /bullet put 16 /equivasymptotic put 17 /equivalence put 18 /reflexsubset put 19 /reflexsuperset put 20 /lessequal put 21 /greaterequal put 22 /precedesequal put 23 /followsequal put 24 /similar put 25 /approxequal put 26 /propersubset put 27 /propersuperset put 28 /lessmuch put 29 /greatermuch put 30 /precedes put 31 /follows put 32 /arrowleft put 33 /arrowright put 34 /arrowup put 35 /arrowdown put 36 /arrowboth put 37 /arrownortheast put 38 /arrowsoutheast put 39 /similarequal put 40 /arrowdblleft put 41 /arrowdblright put 42 /arrowdblup put 43 /arrowdbldown put 44 /arrowdblboth put 45 /arrownorthwest put 46 /arrowsouthwest put 47 /proportional put 48 /prime put 49 /infinity put 50 /element put 51 /owner put 52 /triangle put 53 /triangleinv put 54 /negationslash put 55 /mapsto put 56 /universal 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 57 /existential put 58 /logicalnot put 59 /emptyset put 60 /Rfractur put 61 /Ifractur put 62 /latticetop put 63 /perpendicular put 64 /aleph put 65 /A put 66 /B put 67 /C put 68 /D put 69 /E put 70 /F put 71 /G put 72 /H put 73 /I put 74 /J put 75 /K put 76 /L put 77 /M put 78 /N put 79 /O put 80 /P put 81 /Q put 82 /R put 83 /S put 84 /T put 85 /U put 86 /V put 87 /W put 88 /X put 89 /Y put 90 /Z put 91 /union put 92 /intersection put 93 /unionmulti put 94 /logicaland put 95 /logicalor put 96 /turnstileleft put 97 /turnstileright put 98 /floorleft put 99 /floorright put 100 /ceilingleft put 101 /ceilingright put 102 /braceleft put 103 /braceright put 104 /angbracketleft put 105 /angbracketright put 106 /bar put 107 /bardbl put 108 /arrowbothv put 109 /arrowdblbothv put 110 /backslash put 111 /wreathproduct put 112 /radical put 113 /coproduct put 114 /nabla put 115 /integral put dup 116 /unionsq put dup 117 /intersectionsq put dup 118 /subsetsqequal put dup 119 /supersetsqequal put dup 120 /section put dup 121 /dagger put dup 122 /daggerdbl put dup 123 /paragraph put dup 124 /club put dup 125 /diamond put dup 126 /heart put dup 127 /spade put dup 128 /arrowleft put readonly def /FontBBox{-29 -960 1116 775}readonly def /UniqueID 5000820 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cleartomark %%EndFont %%BeginFont: CMTI12 %!PS-AdobeFont-1.1: CMTI12 1.0 %%CreationDate: 1991 Aug 18 21:06:53 % Copyright (C) 1997 American Mathematical Society. All Rights Reserved. 11 dict begin /FontInfo 7 dict dup begin /version (1.0) readonly def /Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def /FullName (CMTI12) readonly def /FamilyName (Computer Modern) readonly def /Weight (Medium) readonly def /ItalicAngle -14.04 def /isFixedPitch false def end readonly def /FontName /CMTI12 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 161 /Gamma put dup 162 /Delta put dup 163 /Theta put dup 164 /Lambda put dup 165 /Xi put dup 166 /Pi put dup 167 /Sigma put dup 168 /Upsilon put dup 169 /Phi put dup 170 /Psi put dup 173 /Omega put dup 174 /ff put dup 175 /fi put dup 176 /fl put dup 177 /ffi put dup 178 /ffl put dup 179 /dotlessi put dup 180 /dotlessj put dup 181 /grave put dup 182 /acute put dup 183 /caron put dup 184 /breve 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 185 /macron put 186 /ring put 187 /cedilla put 188 /germandbls put 189 /ae put 190 /oe put 191 /oslash put 192 /AE put 193 /OE put 194 /Oslash put 195 /suppress put 196 /dieresis put 0 /Gamma put 1 /Delta put 2 /Theta put 3 /Lambda put 4 /Xi put 5 /Pi put 6 /Sigma put 7 /Upsilon put 8 /Phi put 9 /Psi put 10 /Omega put 11 /ff put 12 /fi put 13 /fl put 14 /ffi put 15 /ffl put 16 /dotlessi put 17 /dotlessj put 18 /grave put 19 /acute put 20 /caron put 21 /breve put 22 /macron put 23 /ring put 24 /cedilla put 25 /germandbls put 26 /ae put 27 /oe put 28 /oslash put 29 /AE put 30 /OE put 31 /Oslash put 32 /suppress put 33 /exclam put 34 /quotedblright put 35 /numbersign put 36 /sterling put 37 /percent put 38 /ampersand put 39 /quoteright put 40 /parenleft put 41 /parenright put 42 /asterisk put 43 /plus put 44 /comma put 45 /hyphen put 46 /period 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 47 /slash 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 60 /exclamdown put 61 /equal put 62 /questiondown put 63 /question put 64 /at put 65 /A put 66 /B put 67 /C put 68 /D put 69 /E put 70 /F put 71 /G put 72 /H put 73 /I put 74 /J put 75 /K put 76 /L put 77 /M put 78 /N put 79 /O put 80 /P put 81 /Q put 82 /R put 83 /S put 84 /T put 85 /U put 86 /V put 87 /W put 88 /X put 89 /Y put 90 /Z put 91 /bracketleft put 92 /quotedblleft put 93 /bracketright put 94 /circumflex put 95 /dotaccent put 96 /quoteleft put 97 /a put 98 /b put 99 /c put 100 /d put 101 /e put 102 /f put 103 /g put 104 /h put 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 125 /hungarumlaut put dup 126 /tilde put dup 127 /dieresis put dup 128 /suppress put dup 160 /space put readonly def /FontBBox{-36 -251 1103 750}readonly def /UniqueID 5000829 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 161 /Gamma put dup 162 /Delta put dup 163 /Theta put dup 164 /Lambda put dup 165 /Xi put dup 166 /Pi put dup 167 /Sigma put dup 168 /Upsilon put dup 169 /Phi put dup 170 /Psi put dup 173 /Omega put dup 174 /ff put dup 175 /fi put dup 176 /fl put dup 177 /ffi put dup 178 /ffl put dup 179 /dotlessi put dup 180 /dotlessj put dup 181 /grave put dup 182 /acute put dup 183 /caron put dup 184 /breve put dup 185 /macron put dup 186 /ring put dup 187 /cedilla put dup 188 /germandbls put dup 189 /ae put dup 190 /oe put dup 191 /oslash put dup 192 /AE put dup 193 /OE put dup 194 /Oslash put dup 195 /suppress put dup 196 /dieresis put dup 0 /Gamma put dup 1 /Delta put dup 2 /Theta put dup 3 /Lambda 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 4 /Xi put 5 /Pi put 6 /Sigma put 7 /Upsilon put 8 /Phi put 9 /Psi put 10 /Omega put 11 /ff put 12 /fi put 13 /fl put 14 /ffi put 15 /ffl put 16 /dotlessi put 17 /dotlessj put 18 /grave put 19 /acute put 20 /caron put 21 /breve put 22 /macron put 23 /ring put 24 /cedilla put 25 /germandbls put 26 /ae put 27 /oe put 28 /oslash put 29 /AE put 30 /OE put 31 /Oslash put 32 /suppress put 33 /exclam put 34 /quotedblright put 35 /numbersign put 36 /dollar put 37 /percent put 38 /ampersand put 39 /quoteright put 40 /parenleft put 41 /parenright put 42 /asterisk put 43 /plus put 44 /comma put 45 /hyphen put 46 /period put 47 /slash 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 60 /exclamdown put 61 /equal put 62 /questiondown 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 63 /question put 64 /at put 65 /A put 66 /B put 67 /C put 68 /D put 69 /E put 70 /F put 71 /G put 72 /H put 73 /I put 74 /J put 75 /K put 76 /L put 77 /M put 78 /N put 79 /O put 80 /P put 81 /Q put 82 /R put 83 /S put 84 /T put 85 /U put 86 /V put 87 /W put 88 /X put 89 /Y put 90 /Z put 91 /bracketleft put 92 /quotedblleft put 93 /bracketright put 94 /circumflex put 95 /dotaccent put 96 /quoteleft put 97 /a put 98 /b put 99 /c put 100 /d put 101 /e put 102 /f put 103 /g put 104 /h put 105 /i put 106 /j put 107 /k put 108 /l put 109 /m put 110 /n put 111 /o put 112 /p put 113 /q put 114 /r put 115 /s put 116 /t put 117 /u put 118 /v put 119 /w put 120 /x put 121 /y put dup 122 /z put dup 123 /endash put dup 124 /emdash put dup 125 /hungarumlaut put dup 126 /tilde put dup 127 /dieresis put dup 128 /suppress put dup 160 /space put readonly def /FontBBox{-301 -250 1164 946}readonly def /UniqueID 5000768 def currentdict end currentfile eexec 8053514D28EC28DA1630165FAB262882D3FCA78881823C5537FE6C3DDA8EE5B897E17CB027F5 C73FDBB56B0A7C25FC3512B55FE8F3ACFBFFCC7F4A382D8299CC8FD37D3CEA49DABDCA92847A F0560B404EF71134B0F3D99934FC9D0B4E602011B9CFB856C23F958F3C5A2FBE0EF8587D1F57 74879C324E51FCB22888B74F241550D7401EB990D4F3A7AF635198422283CAC1B6CD446DDBCB D915DB9BFF88844E784C6BF7389803D9450B0C21756A017306462C563D51ECE66FCC9C831843 ECAE1FEFC1A232E2724F7BAEE428AE03AADB95C3035345C15E9922FE49E1F2CFC98023731657 2DBC57064EDAC9B0DB8913A5E2D45E97E19A91435CCF8ADFC835B58548E74B291446D689C7F2 F8C4325E8356E974AE30C3E2977477BAEAA33D141FB780F59351E84BFC88C87B3A4A1D25E168 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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 161 /Gamma put dup 162 /Delta put dup 163 /Theta put dup 164 /Lambda put dup 165 /Xi put dup 166 /Pi put dup 167 /Sigma put dup 168 /Upsilon put dup 169 /Phi put dup 170 /Psi put dup 173 /Omega put dup 174 /ff put dup 175 /fi put dup 176 /fl 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 177 /ffi put 178 /ffl put 179 /dotlessi put 180 /dotlessj put 181 /grave put 182 /acute put 183 /caron put 184 /breve put 185 /macron put 186 /ring put 187 /cedilla put 188 /germandbls put 189 /ae put 190 /oe put 191 /oslash put 192 /AE put 193 /OE put 194 /Oslash put 195 /suppress put 196 /dieresis put 0 /Gamma put 1 /Delta put 2 /Theta put 3 /Lambda put 4 /Xi put 5 /Pi put 6 /Sigma put 7 /Upsilon put 8 /Phi put 9 /Psi put 10 /Omega put 11 /ff put 12 /fi put 13 /fl put 14 /ffi put 15 /ffl put 16 /dotlessi put 17 /dotlessj put 18 /grave put 19 /acute put 20 /caron put 21 /breve put 22 /macron put 23 /ring put 24 /cedilla put 25 /germandbls put 26 /ae put 27 /oe put 28 /oslash put 29 /AE put 30 /OE put 31 /Oslash put 32 /suppress put 33 /exclam put 34 /quotedblright put 35 /numbersign put 36 /sterling put 37 /percent put 38 /ampersand 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 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 /quoteright put /parenleft put /parenright put /asterisk put /plus put /comma put /hyphen put /period put /slash put /zero put /one put /two put /three put /four put /five put /six put /seven put /eight put /nine put /colon put /semicolon put /exclamdown put /equal put /questiondown put /question put /at put /A put /B put /C put /D put /E put /F put /G put /H put /I put /J put /K put /L put /M put /N put /O put /P put /Q put /R put /S put /T put /U put /V put /W put /X put /Y put /Z put /bracketleft put /quotedblleft put /bracketright put /circumflex put /dotaccent put /quoteleft put /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 125 /hungarumlaut put dup 126 /tilde put dup 127 /dieresis put dup 128 /suppress put dup 160 /space put readonly def /FontBBox{-163 -250 1146 969}readonly def /UniqueID 5000828 def currentdict end currentfile eexec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All Rights Reserved) readonly def /FullName (CMTT10) readonly def /FamilyName (Computer Modern) readonly def /Weight (Medium) readonly def /ItalicAngle 0 def /isFixedPitch true def end readonly def /FontName /CMTT10 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 161 /Gamma put dup 162 /Delta put dup 163 /Theta put dup 164 /Lambda put dup 165 /Xi put dup 166 /Pi put dup 167 /Sigma put dup 168 /Upsilon put dup 169 /Phi put dup 170 /Psi put dup 173 /Omega put dup 174 /arrowup put dup 175 /arrowdown put dup 176 /quotesingle put dup 177 /exclamdown put dup 178 /questiondown put dup 179 /dotlessi put dup 180 /dotlessj put dup 181 /grave put dup 182 /acute put dup 183 /caron put dup 184 /breve put dup 185 /macron put dup 186 /ring put dup 187 /cedilla put dup 188 /germandbls put dup 189 /ae put dup 190 /oe put dup 191 /oslash put dup 192 /AE put dup 193 /OE put dup 194 /Oslash put dup 195 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0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 cleartomark %%EndFont %%BeginFont: CMR7 %!PS-AdobeFont-1.1: CMR7 1.0 %%CreationDate: 1991 Aug 20 16:39:21 % Copyright (C) 1997 American Mathematical Society. All Rights Reserved. 11 dict begin /FontInfo 7 dict dup begin /version (1.0) readonly def /Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def /FullName (CMR7) readonly def /FamilyName (Computer Modern) readonly def /Weight (Medium) readonly def /ItalicAngle 0 def /isFixedPitch false def end readonly def /FontName /CMR7 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 161 /Gamma put dup 162 /Delta put dup 163 /Theta put dup 164 /Lambda put dup 165 /Xi put dup 166 /Pi put dup 167 /Sigma put dup 168 /Upsilon put dup 169 /Phi 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 170 /Psi put 173 /Omega put 174 /ff put 175 /fi put 176 /fl put 177 /ffi put 178 /ffl put 179 /dotlessi put 180 /dotlessj put 181 /grave put 182 /acute put 183 /caron put 184 /breve put 185 /macron put 186 /ring put 187 /cedilla put 188 /germandbls put 189 /ae put 190 /oe put 191 /oslash put 192 /AE put 193 /OE put 194 /Oslash put 195 /suppress put 196 /dieresis put 0 /Gamma put 1 /Delta put 2 /Theta put 3 /Lambda put 4 /Xi put 5 /Pi put 6 /Sigma put 7 /Upsilon put 8 /Phi put 9 /Psi put 10 /Omega put 11 /ff put 12 /fi put 13 /fl put 14 /ffi put 15 /ffl put 16 /dotlessi put 17 /dotlessj put 18 /grave put 19 /acute put 20 /caron put 21 /breve put 22 /macron put 23 /ring put 24 /cedilla put 25 /germandbls put 26 /ae put 27 /oe put 28 /oslash put 29 /AE put 30 /OE put 31 /Oslash put 32 /suppress put 33 /exclam 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 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 /quotedblright put /numbersign put /dollar put /percent put /ampersand put /quoteright put /parenleft put /parenright put /asterisk put /plus put /comma put /hyphen put /period put /slash put /zero put /one put /two put /three put /four put /five put /six put /seven put /eight put /nine put /colon put /semicolon put /exclamdown put /equal put /questiondown put /question put /at put /A put /B put /C put /D put /E put /F put /G put /H put /I put /J put /K put /L put /M put /N put /O put /P put /Q put /R put /S put /T put /U put /V put /W put /X put /Y put /Z put /bracketleft put /quotedblleft put dup 93 /bracketright put dup 94 /circumflex 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 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All Rights Reserved. 11 dict begin /FontInfo 7 dict dup begin /version (1.100) readonly def /Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def /FullName (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 161 /Gamma put dup 162 /Delta put dup 163 /Theta put dup 164 /Lambda put dup 165 /Xi put dup 166 /Pi put dup 167 /Sigma put dup 168 /Upsilon put dup 169 /Phi put dup 170 /Psi put dup 173 /Omega put dup 174 /alpha put dup 175 /beta put dup 176 /gamma put dup 177 /delta put dup 178 /epsilon1 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 179 /zeta put 180 /eta put 181 /theta put 182 /iota put 183 /kappa put 184 /lambda put 185 /mu put 186 /nu put 187 /xi put 188 /pi put 189 /rho put 190 /sigma put 191 /tau put 192 /upsilon put 193 /phi put 194 /chi put 195 /psi put 196 /tie put 0 /Gamma put 1 /Delta put 2 /Theta put 3 /Lambda put 4 /Xi put 5 /Pi put 6 /Sigma put 7 /Upsilon put 8 /Phi put 9 /Psi put 10 /Omega put 11 /alpha put 12 /beta put 13 /gamma put 14 /delta put 15 /epsilon1 put 16 /zeta put 17 /eta put 18 /theta put 19 /iota put 20 /kappa put 21 /lambda put 22 /mu put 23 /nu put 24 /xi put 25 /pi put 26 /rho put 27 /sigma put 28 /tau put 29 /upsilon put 30 /phi put 31 /chi put 32 /psi put 33 /omega put 34 /epsilon put 35 /theta1 put 36 /pi1 put 37 /rho1 put 38 /sigma1 put 39 /phi1 put 40 /arrowlefttophalf 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 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 /arrowleftbothalf put /arrowrighttophalf put /arrowrightbothalf put /arrowhookleft put /arrowhookright put /triangleright put /triangleleft put /zerooldstyle put /oneoldstyle put /twooldstyle put /threeoldstyle put /fouroldstyle put /fiveoldstyle put /sixoldstyle put /sevenoldstyle put /eightoldstyle put /nineoldstyle put /period put /comma put /less put /slash put /greater put /star put /partialdiff put /A put /B put /C put /D put /E put /F put /G put /H put /I put /J put /K put /L put /M put /N put /O put /P put /Q put /R put /S put /T put /U put /V put /W put /X put /Y put /Z put /flat put /natural put /sharp put /slurbelow put /slurabove put /lscript put /a put /b put /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 /dotlessi put dup 124 /dotlessj put dup 125 /weierstrass put dup 126 /vector put dup 127 /tie put dup 128 /psi put dup 160 /space put readonly def /FontBBox{-32 -250 1048 750}readonly def /UniqueID 5087385 def currentdict end currentfile eexec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Rutgers - MATH - 250
Math 250-CMATLAB Assignment #41 Revised 12/11/01LAB 4: Vector Spaces and General Solution to Ax = bIn this lab you will use MATLAB to study the following topics: The subspace spanned by a set of vectors, and the fundamental concepts of indepe
Rutgers - MATH - 250
%!PS-Adobe-2.0 %Creator: dvips 5.528 Copyright 1986, 1994 Radical Eye Software %Title: lab04.dvi %CreationDate: Wed Dec 12 19:42:04 2001 %Pages: 4 %PageOrder: Ascend %BoundingBox: 0 0 612 792 %DocumentFonts: CMBXSL10 CMR10 CMBX12 CMMI12 CMR12 CMSY10
Rutgers - MATH - 250
Math 250-CMATLAB Assignment #51 Revised 12/12/01LAB 5: Orthogonal Subspaces, QR Factorization, and Inconsistent Linear SystemsIn this lab you will use MATLAB to study four topics: The Gram-Schmidt Algorithm that transforms a given set of basi
Rutgers - MATH - 250
%!PS-Adobe-2.0 %Creator: dvips 5.528 Copyright 1986, 1994 Radical Eye Software %Title: lab05.dvi %CreationDate: Wed Dec 12 19:42:14 2001 %Pages: 4 %PageOrder: Ascend %BoundingBox: 0 0 612 792 %DocumentFonts: CMBXSL10 CMR10 CMBX12 CMMI12 CMSY10 CMTI10
Rutgers - MATH - 250
Math 250-CMATLAB Assignment #61 Revised 12/12/01LAB 6: Eigenvalues and EigenvectorsIn this lab you will use MATLAB to study three topics: The geometric meaning of eigenvalues and eigenvectors of a matrix Determination of eigenvalues and eige
Rutgers - MATH - 250
%!PS-Adobe-2.0 %Creator: dvips 5.528 Copyright 1986, 1994 Radical Eye Software %Title: lab06.dvi %CreationDate: Wed Dec 12 19:42:24 2001 %Pages: 4 %PageOrder: Ascend %BoundingBox: 0 0 612 792 %DocumentFonts: CMBXSL10 CMR10 CMBX12 CMSY10 CMBX10 CMTT10
Rutgers - MATH - 250
revised 1/10/05Spring, 2005640:250C Introduction to Linear Algebra General Information(MATLAB Sections)Text: Spence, Insel & Friedberg Elementary Linear algebra: A Matrix Approach ISBN # 0-13-716722-9, Prentice-Hall, Upper Saddle River, NJ 07
Rutgers - MATH - 250
%!PS-Adobe-2.0 %Creator: dvips(k) 5.86 Copyright 1999 Radical Eye Software %Title: geninfo.dvi %Pages: 1 %PageOrder: Ascend %BoundingBox: 0 0 612 792 %DocumentFonts: CMR10 CMBX10 CMSL10 CMTT10 CMTI10 %EndComments %DVIPSWebPage: (www.radicaleye.com) %
Rutgers - MATH - 250
revised 1/26/05Spring, 2005640:250 Introduction to Linear Algebra(MATLAB Sections)Text: Spence, Insel & Friedberg Elementary Linear Algebra: A Matrix Approach ISBN # 0-13-716722-9, Prentice-Hall, Upper Saddle River, NJ 07458SyllabusLecture
Rutgers - MATH - 250
%!PS-Adobe-2.0 %Creator: dvips(k) 5.86 Copyright 1999 Radical Eye Software %Title: syllabus.dvi %Pages: 1 %PageOrder: Ascend %BoundingBox: 0 0 612 792 %DocumentFonts: CMR10 CMBX10 CMSL10 CMMI10 %EndComments %DVIPSWebPage: (www.radicaleye.com) %DVIPSC
Rutgers - MATH - 250
revised 1/10/05Spring, 2005Math 250C Linear Algebra with MATLABText: Spence, Insel & Friedberg Elementary Linear Algebra: A Matrix Approach ISBN # 0-13-716722-9, Prentice-Hall, Upper Saddle River, NJ 07458 Section 1.1 1.2 1.3 1.4 1.6 1.7 2.1 2.3
Rutgers - MATH - 250
%!PS-Adobe-2.0 %Creator: dvips(k) 5.86 Copyright 1999 Radical Eye Software %Title: homework.dvi %Pages: 1 %PageOrder: Ascend %BoundingBox: 0 0 612 792 %DocumentFonts: CMR10 CMBX10 CMSL10 %EndComments %DVIPSWebPage: (www.radicaleye.com) %DVIPSCommandL
Rutgers - MATH - 250
Math 250-CMATLAB Assignment #11 Revised 1/26/05LAB 1: Matrix and Vector Computations in MATLABIn this lab you will use MATLAB to study the following topics: How to create matrices and vectors in MATLAB. The commands to do this are short and e
Rutgers - MATH - 250
%!PS-Adobe-2.0 %Creator: dvips(k) 5.86 Copyright 1999 Radical Eye Software %Title: lab1.dvi %Pages: 5 %PageOrder: Ascend %BoundingBox: 0 0 612 792 %DocumentFonts: CMBXSL10 CMR10 CMBX12 CMSY10 CMTI12 CMBX10 CMTT10 %+ CMTI10 CMMI10 CMEX10 CMMI7 CMSY7 %
Rutgers - MATH - 250
revised 1/9/06Spring, 2006640:250C Introduction to Linear Algebra General Information(MATLAB Sections)Text: Spence, Insel & Friedberg Elementary Linear algebra: A Matrix Approach ISBN # 0-13-716722-9, Prentice-Hall, Upper Saddle River, NJ 074
Rutgers - MATH - 250
%!PS-Adobe-2.0 %Creator: dvips(k) 5.86 Copyright 1999 Radical Eye Software %Title: geninfo.dvi %Pages: 1 %PageOrder: Ascend %BoundingBox: 0 0 612 792 %DocumentFonts: CMR10 CMBX10 CMSL10 CMTT10 CMTI10 %EndComments %DVIPSWebPage: (www.radicaleye.com) %
Rutgers - MATH - 250
revised 1/9/06Spring, 2006640:250 Introduction to Linear Algebra(MATLAB Sections)Text: Spence, Insel & Friedberg Elementary Linear Algebra: A Matrix Approach ISBN # 0-13-716722-9, Prentice-Hall, Upper Saddle River, NJ 07458SyllabusLecture
Rutgers - MATH - 250
%!PS-Adobe-2.0 %Creator: dvips(k) 5.86 Copyright 1999 Radical Eye Software %Title: syllabus.dvi %Pages: 1 %PageOrder: Ascend %BoundingBox: 0 0 612 792 %DocumentFonts: CMR10 CMBX10 CMSL10 CMMI10 %EndComments %DVIPSWebPage: (www.radicaleye.com) %DVIPSC
Rutgers - MATH - 250
revised 1/18/06Spring, 2006Math 250-C Introduction to Linear Algebra with MATLABText: Spence, Insel & Friedberg Elementary Linear Algebra: A Matrix Approach ISBN # 0-13-716722-9, Prentice-Hall, Upper Saddle River, NJ 07458 Section 1.1 1.2 1.3 1.
Rutgers - MATH - 250
%!PS-Adobe-2.0 %Creator: dvips(k) 5.86 Copyright 1999 Radical Eye Software %Title: homework.dvi %Pages: 1 %PageOrder: Ascend %BoundingBox: 0 0 612 792 %DocumentFonts: CMR10 CMBX10 CMSL10 %EndComments %DVIPSWebPage: (www.radicaleye.com) %DVIPSCommandL
Rutgers - MATH - 250
Math 250-CMATLAB Assignment #11 Revised 8/23/05LAB 1: Matrix and Vector Computations in MATLABIn this lab you will use MATLAB to study the following topics: How to create matrices and vectors in MATLAB. How to manipulate matrices in MATLAB a
Rutgers - MATH - 250
%!PS-Adobe-2.0 %Creator: dvips(k) 5.86 Copyright 1999 Radical Eye Software %Title: f05lab1.dvi %Pages: 5 %PageOrder: Ascend %BoundingBox: 0 0 612 792 %DocumentFonts: CMBXSL10 CMR10 CMBX12 CMSY10 CMTI12 CMBX10 CMTT10 %+ CMTI10 CMMI10 CMEX10 CMMI7 CMSY
Rutgers - MATH - 250
Math 250-CMATLAB Assignment #21 Revised 8/24/05LAB 2: Linear Equations and Matrix AlgebraIn this lab you will use MATLAB to study the following topics: Solving a system of linear equations by using the reduced row echelon form of the augmente
Rutgers - MATH - 250
%!PS-Adobe-2.0 %Creator: dvips(k) 5.86 Copyright 1999 Radical Eye Software %Title: f05lab2.dvi %Pages: 5 %PageOrder: Ascend %BoundingBox: 0 0 612 792 %DocumentFonts: CMBXSL10 CMR10 CMBX12 CMSY10 CMTI10 CMTI12 CMBX10 %+ CMTT10 CMR7 CMMI10 CMMI12 CMR12
Rutgers - MATH - 250
Math 250-CMATLAB Assignment #31 Revised 8/24/05LAB 3: LU Decomposition and DeterminantsIn this lab you will use MATLAB to study the following topics: The LU decomposition of an invertible square matrix A. How to use the LU decomposition to s
Rutgers - MATH - 250
%!PS-Adobe-2.0 %Creator: dvips(k) 5.86 Copyright 1999 Radical Eye Software %Title: f05lab3.dvi %Pages: 6 %PageOrder: Ascend %BoundingBox: 0 0 612 792 %DocumentFonts: CMBXSL10 CMR10 CMBX12 CMMI12 CMSY10 CMMI10 CMBX10 %+ CMTI12 CMTI10 CMTT10 CMR7 CMSY7
Rutgers - MATH - 250
Math 250-CMATLAB Assignment #41 Revised 3/22/06LAB 4: General Solution to Ax = bIn this lab you will use MATLAB to study the following topics: The column space Col(A) of a matrix A The null space Null(A) of a matrix A. Particular solutions
Rutgers - MATH - 250
%!PS-Adobe-2.0 %Creator: dvips(k) 5.86 Copyright 1999 Radical Eye Software %Title: s06lab4.dvi %Pages: 4 %PageOrder: Ascend %BoundingBox: 0 0 612 792 %DocumentFonts: CMBXSL10 CMR10 CMBX12 CMMI12 CMR12 CMSY10 CMTI10 CMMI10 %+ CMBX10 CMTI12 CMTT10 CMR7
Rutgers - MATH - 250
Math 250-CMATLAB Assignment #51 Revised 8/24/05LAB 5: Eigenvalues and EigenvectorsIn this lab you will use MATLAB to study these topics: The geometric meaning of eigenvalues and eigenvectors of a matrix Determination of eigenvalues and eigen
Rutgers - MATH - 250
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Rutgers - MATH - 250
Math 250-CMATLAB Assignment #61 Revised 8/24/05LAB 6: Orthonormal Bases, Orthogonal Projections, and Least SquaresIn this lab you will use MATLAB to study the following topics: Geometric aspects of vectors -norm, dot product, and orthogonal p
Rutgers - MATH - 250
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Rutgers - MATH - 250
revised 7/26/02Fall, 2002640:250C Introduction to Linear Algebra General Information(MATLAB Sections)Text: Spence, Insel & Friedberg Elementary Linear algebra: A Matrix Approach ISBN # 0-13-716722-9, Prentice-Hall, Upper Saddle River, NJ 0745
Rutgers - MATH - 250
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Rutgers - MATH - 250
revised 7/26/02Fall, 2002640:250C Introduction to Linear Algebra(MATLAB Sections)Text: Spence, Insel & Friedberg Elementary linear algebra: a matrix approach ISBN # 0-13-716722-9, Prentice-Hall, Upper Saddle River, NJ 07458SyllabusLecture
Rutgers - MATH - 250
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Rutgers - MATH - 250
revised 9/02/02Fall, 2002Math 250C Linear Algebra with MATLABText: Spence, Insel & Friedberg Elementary Linear Algebra: A Matrix Approach ISBN # 0-13-716722-9, Prentice-Hall, Upper Saddle River, NJ 07458 Section 1.1 1.2 1.3 1.4 1.6 1.7 2.1 2.2 2
Rutgers - MATH - 250
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Rutgers - MATH - 250
revised 12/20/02Spring, 2003640:250C Introduction to Linear Algebra General Information(MATLAB Sections)Text: Spence, Insel & Friedberg Elementary Linear algebra: A Matrix Approach ISBN # 0-13-716722-9, Prentice-Hall, Upper Saddle River, NJ 0
Rutgers - MATH - 250
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Rutgers - MATH - 250
revised 12/13/02Spring, 2003640:250 Introduction to Linear Algebra(MATLAB Sections)Text: Spence, Insel & Friedberg Elementary Linear Algebra: A Matrix Approach ISBN # 0-13-716722-9, Prentice-Hall, Upper Saddle River, NJ 07458SyllabusLectur
Rutgers - MATH - 250
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Rutgers - MATH - 250
revised 12/13/02Spring, 2003Math 250C Linear Algebra with MATLABText: Spence, Insel & Friedberg Elementary Linear Algebra: A Matrix Approach ISBN # 0-13-716722-9, Prentice-Hall, Upper Saddle River, NJ 07458 Section 1.1 1.2 1.3 1.4 1.6 1.7 2.1 2.
Rutgers - MATH - 250
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Rutgers - MATH - 250
revised 7/26/02Fall, 2002640:250 Introduction to Linear AlgebraText: Spence, Insel & Friedberg Elementary Linear Algebra: A Matrix Approach ISBN # 0-13-716722-9, Prentice-Hall, Upper Saddle River, NJ 07458SyllabusLecture 1 2 3 4 5 6 7 8 9 10
Rutgers - MATH - 250
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Rutgers - MATH - 250
revised 9/02/02Fall, 2002Math 250 Linear AlgebraText: Spence, Insel & Friedberg Elementary Linear Algebra: A Matrix Approach ISBN # 0-13-716722-9, Prentice-Hall, Upper Saddle River, NJ 07458 Section 1.1 1.2 1.3 1.4 1.6 1.7 2.1 2.2 2.3 2.4 2.5 3.
Rutgers - MATH - 250
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Rutgers - MATH - 250
revised 8/21/06Fall, 2006640:250C Introduction to Linear Algebra General Information(MATLAB Sections)Text: Spence, Insel & Friedberg Elementary Linear algebra: A Matrix Approach ISBN # 0-13-716722-9, Prentice-Hall, Upper Saddle River, NJ 0745
Rutgers - MATH - 250
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Rutgers - MATH - 250
revised 8/21/06Fall, 2006640:250 Introduction to Linear Algebra(MATLAB Sections)Text: Spence, Insel & Friedberg Elementary Linear Algebra: A Matrix Approach ISBN # 0-13-716722-9, Prentice-Hall, Upper Saddle River, NJ 07458SyllabusLecture 1
Rutgers - MATH - 250
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Rutgers - MATH - 250
revised 8/21/06Fall, 2006Math 250-C Introduction to Linear Algebra with MATLABText: Spence, Insel & Friedberg Elementary Linear Algebra: A Matrix Approach ISBN # 0-13-716722-9, Prentice-Hall, Upper Saddle River, NJ 07458 Section 1.1 1.2 1.3 1.4
Rutgers - MATH - 250
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Rutgers - MATH - 250
Math 250-CMATLAB Assignment #11 Revised 8/23/05LAB 1: Matrix and Vector Computations in MATLABIn this lab you will use MATLAB to study the following topics: How to create matrices and vectors in MATLAB. How to manipulate matrices in MATLAB a
Rutgers - MATH - 250
Math 250-CMATLAB Assignment #21 Revised 8/24/05LAB 2: Linear Equations and Matrix AlgebraIn this lab you will use MATLAB to study the following topics: Solving a system of linear equations by using the reduced row echelon form of the augmente
Rutgers - MATH - 250
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Rutgers - MATH - 250
Math 250-CMATLAB Assignment #31 Revised 8/24/05LAB 3: LU Decomposition and DeterminantsIn this lab you will use MATLAB to study the following topics: The LU decomposition of an invertible square matrix A. How to use the LU decomposition to s
Rutgers - MATH - 250
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Rutgers - MATH - 250
Math 250-CMATLAB Assignment #41 Revised 3/22/06LAB 4: General Solution to Ax = bIn this lab you will use MATLAB to study the following topics: The column space Col(A) of a matrix A The null space Null(A) of a matrix A. Particular solutions
Rutgers - MATH - 250
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