%!PS-Adobe-2.0 %%Creator: dvipsk 5.58f Copyright 1986, 1994 Radical Eye Software %%Title: ker-eo.dvi %%Pages: 71 %%PageOrder: Ascend %%BoundingBox: 0 0 612 792 %%DocumentFonts: CMBX10 CMR10 CMTI8 CMR8 CMTT8 CMSY10 CMBX9 CMR9 CMBX12 %%+ CMR7 CMTI10 CMR6 CMBX8 LCIRCLEW10 LINEW10 CMSY8 CMBSY10 CMCSC10 %%+ CMMI10 CMSY9 CMMI9 CMSY6 CMTT9 CMTI9 %%DocumentPaperSizes: Letter %%EndComments %DVIPSCommandLine: dvips -f ker-eo.dvi %DVIPSParameters: dpi=600, comments removed %DVIPSSource: TeX output 1997.10.01:1910 %%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 round sub abs 0.00001 lt{round}if} forall round exch round exch]setmatrix}N /@landscape{/isls true N}B /@manualfeed{statusdict /manualfeed true put}B /@copies{/#copies X}B /FMat[1 0 0 -1 0 0]N /FBB[0 0 0 0]N /nn 0 N /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 sub]{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 userdict /eop-hook known{eop-hook}if showpage}N /@start{userdict /start-hook known{start-hook}if pop /VResolution X /Resolution X 1000 div /DVImag X /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 newpath 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: 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 4 /Xi put dup 5 /Pi put dup 6 /Sigma put dup 7 /Upsilon put dup 8 /Phi put dup 9 /Psi put dup 10 /Omega put dup 11 /ff put dup 12 /fi put dup 13 /fl put dup 14 /ffi put dup 15 /ffl put dup 16 /dotlessi put dup 17 /dotlessj put dup 18 /grave put dup 19 /acute put dup 20 /caron put dup 21 /breve put dup 22 /macron put dup 23 /ring put dup 24 /cedilla put dup 25 /germandbls put dup 26 /ae put dup 27 /oe put dup 28 /oslash put dup 29 /AE put dup 30 /OE put dup 31 /Oslash put dup 32 /suppress put dup 33 /exclam put dup 34 /quotedblright put dup 35 /numbersign put dup 36 /dollar put dup 37 /percent put dup 38 /ampersand put dup 39 /quoteright put dup 40 /parenleft put dup 41 /parenright put dup 42 /asterisk 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 60 /exclamdown put dup 61 /equal put dup 62 /questiondown put dup 63 /question put dup 64 /at 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 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 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 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{-301 -250 1164 946}readonly def /UniqueID 5000768 def currentdict end currentfile eexec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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 2 /Theta put dup 3 /Lambda put dup 4 /Xi put dup 5 /Pi put dup 6 /Sigma put dup 7 /Upsilon put dup 8 /Phi put dup 9 /Psi put dup 10 /Omega put dup 11 /ff put dup 12 /fi put dup 13 /fl put dup 14 /ffi put dup 15 /ffl put dup 16 /dotlessi put dup 17 /dotlessj put dup 18 /grave put dup 19 /acute put dup 20 /caron put dup 21 /breve put dup 22 /macron put dup 23 /ring put dup 24 /cedilla put dup 25 /germandbls put dup 26 /ae put dup 27 /oe put dup 28 /oslash put dup 29 /AE put dup 30 /OE put dup 31 /Oslash put dup 32 /suppress put dup 33 /exclam put dup 34 /quotedblright put dup 35 /numbersign put dup 36 /dollar put dup 37 /percent put dup 38 /ampersand put dup 39 /quoteright put dup 40 /parenleft put dup 41 /parenright put dup 42 /asterisk 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 60 /exclamdown put dup 61 /equal put dup 62 /questiondown put dup 63 /question put dup 64 /at 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 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 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 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{-251 -250 1009 969}readonly def /UniqueID 5000793 def currentdict end currentfile eexec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cleartomark %%EndFont %%BeginFont: CMTI8 %!PS-AdobeFont-1.1: CMTI8 1.0 %%CreationDate: 1991 Aug 18 21:07:42 % Copyright (C) 1997 American Mathematical Society. All Rights Reserved. 11 dict begin /FontInfo 7 dict dup begin /version (1.0) readonly def /Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def /FullName (CMTI8) readonly def /FamilyName (Computer Modern) readonly def /Weight (Medium) readonly def /ItalicAngle -14.04 def /isFixedPitch false def end readonly def /FontName /CMTI8 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 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 4 /Xi put dup 5 /Pi put dup 6 /Sigma put dup 7 /Upsilon put dup 8 /Phi put dup 9 /Psi put dup 10 /Omega put dup 11 /ff put dup 12 /fi put dup 13 /fl put dup 14 /ffi put dup 15 /ffl put dup 16 /dotlessi put dup 17 /dotlessj put dup 18 /grave put dup 19 /acute put dup 20 /caron put dup 21 /breve put dup 22 /macron put dup 23 /ring put dup 24 /cedilla put dup 25 /germandbls put dup 26 /ae put dup 27 /oe put dup 28 /oslash put dup 29 /AE put dup 30 /OE put dup 31 /Oslash put dup 32 /suppress put dup 33 /exclam put dup 34 /quotedblright put dup 35 /numbersign put dup 36 /sterling put dup 37 /percent put dup 38 /ampersand put dup 39 /quoteright put dup 40 /parenleft put dup 41 /parenright put dup 42 /asterisk 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 60 /exclamdown put dup 61 /equal put dup 62 /questiondown put dup 63 /question put dup 64 /at 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 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 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: CMR8 %!PS-AdobeFont-1.1: CMR8 1.0 %%CreationDate: 1991 Aug 20 16:39:40 % Copyright (C) 1997 American Mathematical Society. All Rights Reserved. 11 dict begin /FontInfo 7 dict dup begin /version (1.0) readonly def /Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def /FullName (CMR8) readonly def /FamilyName (Computer Modern) readonly def /Weight (Medium) readonly def /ItalicAngle 0 def /isFixedPitch false def end readonly def /FontName /CMR8 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 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 4 /Xi put dup 5 /Pi put dup 6 /Sigma put dup 7 /Upsilon put dup 8 /Phi put dup 9 /Psi put dup 10 /Omega put dup 11 /ff put dup 12 /fi put dup 13 /fl put dup 14 /ffi put dup 15 /ffl put dup 16 /dotlessi put dup 17 /dotlessj put dup 18 /grave put dup 19 /acute put dup 20 /caron put dup 21 /breve put dup 22 /macron put dup 23 /ring put dup 24 /cedilla put dup 25 /germandbls put dup 26 /ae put dup 27 /oe put dup 28 /oslash put dup 29 /AE put dup 30 /OE put dup 31 /Oslash put dup 32 /suppress put dup 33 /exclam put dup 34 /quotedblright put dup 35 /numbersign put dup 36 /dollar put dup 37 /percent put dup 38 /ampersand put dup 39 /quoteright put dup 40 /parenleft put dup 41 /parenright put dup 42 /asterisk 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 60 /exclamdown put dup 61 /equal put dup 62 /questiondown put dup 63 /question put dup 64 /at 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 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 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 117 /u 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0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 cleartomark %%EndFont %%BeginFont: CMTT8 %!PS-AdobeFont-1.1: CMTT8 1.0 %%CreationDate: 1991 Aug 20 16:46:05 % Copyright (C) 1997 American Mathematical Society. All Rights Reserved. 11 dict begin /FontInfo 7 dict dup begin /version (1.0) readonly def /Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def /FullName (CMTT8) readonly def /FamilyName (Computer Modern) readonly def /Weight (Medium) readonly def /ItalicAngle 0 def /isFixedPitch true def end readonly def /FontName /CMTT8 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 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 /visiblespace put dup 196 /dieresis put dup 0 /Gamma put dup 1 /Delta put dup 2 /Theta put dup 3 /Lambda put dup 4 /Xi put dup 5 /Pi put dup 6 /Sigma put dup 7 /Upsilon put dup 8 /Phi put dup 9 /Psi put dup 10 /Omega put dup 11 /arrowup put dup 12 /arrowdown put dup 13 /quotesingle put dup 14 /exclamdown put dup 15 /questiondown put dup 16 /dotlessi put dup 17 /dotlessj put dup 18 /grave put dup 19 /acute put dup 20 /caron put dup 21 /breve put dup 22 /macron put dup 23 /ring put dup 24 /cedilla put dup 25 /germandbls put dup 26 /ae put dup 27 /oe put dup 28 /oslash put dup 29 /AE put dup 30 /OE put dup 31 /Oslash put dup 32 /visiblespace put dup 33 /exclam put dup 34 /quotedbl put dup 35 /numbersign put dup 36 /dollar put dup 37 /percent put dup 38 /ampersand put dup 39 /quoteright put dup 40 /parenleft put dup 41 /parenright put dup 42 /asterisk 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 60 /less put dup 61 /equal put dup 62 /greater put dup 63 /question put dup 64 /at 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 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 88 /X put dup 89 /Y put dup 90 /Z put dup 91 /bracketleft put dup 92 /backslash put dup 93 /bracketright put dup 94 /asciicircum put dup 95 /underscore 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 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0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 cleartomark %%EndFont %%BeginFont: CMSY10 %!PS-AdobeFont-1.1: CMSY10 1.0 %%CreationDate: 1991 Aug 15 07:20:57 % Copyright (C) 1997 American Mathematical Society. All Rights Reserved. 11 dict begin /FontInfo 7 dict dup begin /version (1.0) readonly def /Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def /FullName (CMSY10) readonly def /FamilyName (Computer Modern) readonly def /Weight (Medium) readonly def /ItalicAngle -14.035 def /isFixedPitch false def end readonly def /FontName /CMSY10 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 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 195 /arrowleft put dup 196 /spade put dup 0 /minus put dup 1 /periodcentered put dup 2 /multiply put dup 3 /asteriskmath put dup 4 /divide put dup 5 /diamondmath put dup 6 /plusminus put dup 7 /minusplus put dup 8 /circleplus put dup 9 /circleminus put dup 10 /circlemultiply put dup 11 /circledivide put dup 12 /circledot put dup 13 /circlecopyrt put dup 14 /openbullet put dup 15 /bullet put dup 16 /equivasymptotic put dup 17 /equivalence put dup 18 /reflexsubset put dup 19 /reflexsuperset put dup 20 /lessequal put dup 21 /greaterequal put dup 22 /precedesequal put dup 23 /followsequal put dup 24 /similar put dup 25 /approxequal put dup 26 /propersubset put dup 27 /propersuperset put dup 28 /lessmuch put dup 29 /greatermuch put dup 30 /precedes put dup 31 /follows put dup 32 /arrowleft put dup 33 /arrowright put dup 34 /arrowup put dup 35 /arrowdown put dup 36 /arrowboth put dup 37 /arrownortheast put dup 38 /arrowsoutheast put dup 39 /similarequal put dup 40 /arrowdblleft put dup 41 /arrowdblright put dup 42 /arrowdblup put dup 43 /arrowdbldown put dup 44 /arrowdblboth put dup 45 /arrownorthwest put dup 46 /arrowsouthwest put dup 47 /proportional put dup 48 /prime put dup 49 /infinity put dup 50 /element put dup 51 /owner put dup 52 /triangle put dup 53 /triangleinv put dup 54 /negationslash put dup 55 /mapsto put dup 56 /universal put dup 57 /existential put dup 58 /logicalnot put dup 59 /emptyset put dup 60 /Rfractur put dup 61 /Ifractur put dup 62 /latticetop put dup 63 /perpendicular put dup 64 /aleph 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 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 88 /X put dup 89 /Y put dup 90 /Z put dup 91 /union put dup 92 /intersection put dup 93 /unionmulti put dup 94 /logicaland put dup 95 /logicalor put dup 96 /turnstileleft put dup 97 /turnstileright put dup 98 /floorleft put dup 99 /floorright put dup 100 /ceilingleft put dup 101 /ceilingright put dup 102 /braceleft put dup 103 /braceright put dup 104 /angbracketleft put dup 105 /angbracketright put dup 106 /bar put dup 107 /bardbl put dup 108 /arrowbothv put dup 109 /arrowdblbothv put dup 110 /backslash put dup 111 /wreathproduct put dup 112 /radical put dup 113 /coproduct put dup 114 /nabla put dup 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 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cleartomark %%EndFont %%BeginFont: CMBX9 %!PS-AdobeFont-1.1: CMBX9 1.0 %%CreationDate: 1991 Aug 20 16:36:25 % Copyright (C) 1997 American Mathematical Society. All Rights Reserved. 11 dict begin /FontInfo 7 dict dup begin /version (1.0) readonly def /Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def /FullName (CMBX9) readonly def /FamilyName (Computer Modern) readonly def /Weight (Bold) readonly def /ItalicAngle 0 def /isFixedPitch false def end readonly def /FontName /CMBX9 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 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 4 /Xi put dup 5 /Pi put dup 6 /Sigma put dup 7 /Upsilon put dup 8 /Phi put dup 9 /Psi put dup 10 /Omega put dup 11 /ff put dup 12 /fi put dup 13 /fl put dup 14 /ffi put dup 15 /ffl put dup 16 /dotlessi put dup 17 /dotlessj put dup 18 /grave put dup 19 /acute put dup 20 /caron put dup 21 /breve put dup 22 /macron put dup 23 /ring put dup 24 /cedilla put dup 25 /germandbls put dup 26 /ae put dup 27 /oe put dup 28 /oslash put dup 29 /AE put dup 30 /OE put dup 31 /Oslash put dup 32 /suppress put dup 33 /exclam put dup 34 /quotedblright put dup 35 /numbersign put dup 36 /dollar put dup 37 /percent put dup 38 /ampersand put dup 39 /quoteright put dup 40 /parenleft put dup 41 /parenright put dup 42 /asterisk 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 60 /exclamdown put dup 61 /equal put dup 62 /questiondown put dup 63 /question put dup 64 /at 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 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 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 117 /u 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271DB64DA625559B31C7D422EEF1ED5A35CBF1F37958EA0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 cleartomark %%EndFont %%BeginFont: CMR9 %!PS-AdobeFont-1.1: CMR9 1.0 %%CreationDate: 1991 Aug 20 16:39:59 % Copyright (C) 1997 American Mathematical Society. All Rights Reserved. 11 dict begin /FontInfo 7 dict dup begin /version (1.0) readonly def /Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def /FullName (CMR9) readonly def /FamilyName (Computer Modern) readonly def /Weight (Medium) readonly def /ItalicAngle 0 def /isFixedPitch false def end readonly def /FontName /CMR9 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 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 4 /Xi put dup 5 /Pi put dup 6 /Sigma put dup 7 /Upsilon put dup 8 /Phi put dup 9 /Psi put dup 10 /Omega put dup 11 /ff put dup 12 /fi put dup 13 /fl put dup 14 /ffi put dup 15 /ffl put dup 16 /dotlessi put dup 17 /dotlessj put dup 18 /grave put dup 19 /acute put dup 20 /caron put dup 21 /breve put dup 22 /macron put dup 23 /ring put dup 24 /cedilla put dup 25 /germandbls put dup 26 /ae put dup 27 /oe put dup 28 /oslash put dup 29 /AE put dup 30 /OE put dup 31 /Oslash put dup 32 /suppress put dup 33 /exclam put dup 34 /quotedblright put dup 35 /numbersign put dup 36 /dollar put dup 37 /percent put dup 38 /ampersand put dup 39 /quoteright put dup 40 /parenleft put dup 41 /parenright put dup 42 /asterisk 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 60 /exclamdown put dup 61 /equal put dup 62 /questiondown put dup 63 /question put dup 64 /at 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 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 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 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{-39 -250 1036 750}readonly def /UniqueID 5000792 def currentdict end currentfile eexec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cleartomark %%EndFont %%BeginFont: CMBX12 %!PS-AdobeFont-1.1: CMBX12 1.0 %%CreationDate: 1991 Aug 20 16:34:54 % Copyright (C) 1997 American Mathematical Society. All Rights Reserved. 11 dict begin /FontInfo 7 dict dup begin /version (1.0) readonly def /Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def /FullName (CMBX12) readonly def /FamilyName (Computer Modern) readonly def /Weight (Bold) readonly def /ItalicAngle 0 def /isFixedPitch false def end readonly def /FontName /CMBX12 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 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 4 /Xi put dup 5 /Pi put dup 6 /Sigma put dup 7 /Upsilon put dup 8 /Phi put dup 9 /Psi put dup 10 /Omega put dup 11 /ff put dup 12 /fi put dup 13 /fl put dup 14 /ffi put dup 15 /ffl put dup 16 /dotlessi put dup 17 /dotlessj put dup 18 /grave put dup 19 /acute put dup 20 /caron put dup 21 /breve put dup 22 /macron put dup 23 /ring put dup 24 /cedilla put dup 25 /germandbls put dup 26 /ae put dup 27 /oe put dup 28 /oslash put dup 29 /AE put dup 30 /OE put dup 31 /Oslash put dup 32 /suppress put dup 33 /exclam put dup 34 /quotedblright put dup 35 /numbersign put dup 36 /dollar put dup 37 /percent put dup 38 /ampersand put dup 39 /quoteright put dup 40 /parenleft put dup 41 /parenright put dup 42 /asterisk 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 60 /exclamdown put dup 61 /equal put dup 62 /questiondown put dup 63 /question put dup 64 /at 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 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 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 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{-53 -251 1139 750}readonly def /UniqueID 5000769 def currentdict end currentfile eexec 9B9C1569015F2C1D2BF560F4C0D52257BACDD6500ABDA5ED9835F6A016CFC8F00B6C052ED76A 87856B50F4D80DFAEB508C97F8281F3F88B17E4D3B90C0F65EC379791AACDC162A66CBBC5BE2 F53AAD8DE72DD113B55A022FBFEE658CB95F5BB32BA0357B5E050FDDF264A07470BEF1C52119 B6FBD5C77EBED964AC5A2BBEC9D8B3E48AE5BB003A63D545774B922B9D5FF6B0066ECE43645A 131879B032137D6D823385FE55F3402D557FD3B4486BE79011D1F5BFAE5C1F476EE6F05EB1D2 CAEB269958B194521197B312FCCED4867F3C8FBD030BD715D8FFDA1DCD454B174E7A1A97B59F E770E67702519D9D9B23D61AC08424D555242A8CA08C49AEF300945D99B999A79CE74804AE6B FDE623F4463371442F6523A5F6CE19C839A708C025132E22C696C8CCADE45680E5197189D0F9 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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 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 4 /Xi put dup 5 /Pi put dup 6 /Sigma put dup 7 /Upsilon put dup 8 /Phi put dup 9 /Psi put dup 10 /Omega put dup 11 /ff put dup 12 /fi put dup 13 /fl put dup 14 /ffi put dup 15 /ffl put dup 16 /dotlessi put dup 17 /dotlessj put dup 18 /grave put dup 19 /acute put dup 20 /caron put dup 21 /breve put dup 22 /macron put dup 23 /ring put dup 24 /cedilla put dup 25 /germandbls put dup 26 /ae put dup 27 /oe put dup 28 /oslash put dup 29 /AE put dup 30 /OE put dup 31 /Oslash put dup 32 /suppress put dup 33 /exclam put dup 34 /quotedblright put dup 35 /numbersign put dup 36 /dollar put dup 37 /percent put dup 38 /ampersand put dup 39 /quoteright put dup 40 /parenleft put dup 41 /parenright put dup 42 /asterisk 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 60 /exclamdown put dup 61 /equal put dup 62 /questiondown put dup 63 /question put dup 64 /at 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 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 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 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{-27 -250 1122 750}readonly def /UniqueID 5000790 def currentdict end currentfile eexec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B5FBF780CF8754FA7422C3F57E62CCEEAD9AA3470000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 cleartomark %%EndFont %%BeginFont: CMTI10 %!PS-AdobeFont-1.1: CMTI10 1.00B %%CreationDate: 1992 Feb 19 19:56:16 % Copyright (C) 1997 American Mathematical Society. All Rights Reserved. 11 dict begin /FontInfo 7 dict dup begin /version (1.00B) readonly def /Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def /FullName (CMTI10) readonly def /FamilyName (Computer Modern) readonly def /Weight (Medium) readonly def /ItalicAngle -14.04 def /isFixedPitch false def end readonly def /FontName /CMTI10 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 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 4 /Xi put dup 5 /Pi put dup 6 /Sigma put dup 7 /Upsilon put dup 8 /Phi put dup 9 /Psi put dup 10 /Omega put dup 11 /ff put dup 12 /fi put dup 13 /fl put dup 14 /ffi put dup 15 /ffl put dup 16 /dotlessi put dup 17 /dotlessj put dup 18 /grave put dup 19 /acute put dup 20 /caron put dup 21 /breve put dup 22 /macron put dup 23 /ring put dup 24 /cedilla put dup 25 /germandbls put dup 26 /ae put dup 27 /oe put dup 28 /oslash put dup 29 /AE put dup 30 /OE put dup 31 /Oslash put dup 32 /suppress put dup 33 /exclam put dup 34 /quotedblright put dup 35 /numbersign put dup 36 /sterling put dup 37 /percent put dup 38 /ampersand put dup 39 /quoteright put dup 40 /parenleft put dup 41 /parenright put dup 42 /asterisk 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 60 /exclamdown put dup 61 /equal put dup 62 /questiondown put dup 63 /question put dup 64 /at 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 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 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 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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0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 cleartomark %%EndFont %%BeginFont: CMR6 %!PS-AdobeFont-1.1: CMR6 1.0 %%CreationDate: 1991 Aug 20 16:39:02 % Copyright (C) 1997 American Mathematical Society. All Rights Reserved. 11 dict begin /FontInfo 7 dict dup begin /version (1.0) readonly def /Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def /FullName (CMR6) readonly def /FamilyName (Computer Modern) readonly def /Weight (Medium) readonly def /ItalicAngle 0 def /isFixedPitch false def end readonly def /FontName /CMR6 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 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 4 /Xi put dup 5 /Pi put dup 6 /Sigma put dup 7 /Upsilon put dup 8 /Phi put dup 9 /Psi put dup 10 /Omega put dup 11 /ff put dup 12 /fi put dup 13 /fl put dup 14 /ffi put dup 15 /ffl put dup 16 /dotlessi put dup 17 /dotlessj put dup 18 /grave put dup 19 /acute put dup 20 /caron put dup 21 /breve put dup 22 /macron put dup 23 /ring put dup 24 /cedilla put dup 25 /germandbls put dup 26 /ae put dup 27 /oe put dup 28 /oslash put dup 29 /AE put dup 30 /OE put dup 31 /Oslash put dup 32 /suppress put dup 33 /exclam put dup 34 /quotedblright put dup 35 /numbersign put dup 36 /dollar put dup 37 /percent put dup 38 /ampersand put dup 39 /quoteright put dup 40 /parenleft put dup 41 /parenright put dup 42 /asterisk 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 60 /exclamdown put dup 61 /equal put dup 62 /questiondown put dup 63 /question put dup 64 /at 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 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 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 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{-20 -250 1193 750}readonly def /UniqueID 5000789 def currentdict end currentfile eexec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0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 cleartomark %%EndFont %%BeginFont: CMBX8 %!PS-AdobeFont-1.1: CMBX8 1.0 %%CreationDate: 1991 Aug 20 16:36:07 % Copyright (C) 1997 American Mathematical Society. All Rights Reserved. 11 dict begin /FontInfo 7 dict dup begin /version (1.0) readonly def /Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def /FullName (CMBX8) readonly def /FamilyName (Computer Modern) readonly def /Weight (Bold) readonly def /ItalicAngle 0 def /isFixedPitch false def end readonly def /FontName /CMBX8 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 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 4 /Xi put dup 5 /Pi put dup 6 /Sigma put dup 7 /Upsilon put dup 8 /Phi put dup 9 /Psi put dup 10 /Omega put dup 11 /ff put dup 12 /fi put dup 13 /fl put dup 14 /ffi put dup 15 /ffl put dup 16 /dotlessi put dup 17 /dotlessj put dup 18 /grave put dup 19 /acute put dup 20 /caron put dup 21 /breve put dup 22 /macron put dup 23 /ring put dup 24 /cedilla put dup 25 /germandbls put dup 26 /ae put dup 27 /oe put dup 28 /oslash put dup 29 /AE put dup 30 /OE put dup 31 /Oslash put dup 32 /suppress put dup 33 /exclam put dup 34 /quotedblright put dup 35 /numbersign put dup 36 /dollar put dup 37 /percent put dup 38 /ampersand put dup 39 /quoteright put dup 40 /parenleft put dup 41 /parenright put dup 42 /asterisk 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 60 /exclamdown put dup 61 /equal put dup 62 /questiondown put dup 63 /question put dup 64 /at 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 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 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 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{-59 -250 1235 750}readonly def /UniqueID 5000766 def currentdict end currentfile eexec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8042900000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 cleartomark %%EndFont %%BeginFont: LCIRCLEW10 %!PS-AdobeFont-1.1: LCIRCLEW10 1.00 %%CreationDate: 1992 Oct 23 20:22:00 % 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 (LCIRCLEW10) readonly def /FamilyName (LaTeX) readonly def /Weight (Bold) readonly def /ItalicAngle 0 def /isFixedPitch false def end readonly def /FontName /LCIRCLEW10 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 /a0 put dup 162 /a1 put dup 163 /a2 put dup 164 /a3 put dup 165 /a4 put dup 166 /a5 put dup 167 /a6 put dup 168 /a7 put dup 169 /a8 put dup 170 /a9 put dup 173 /a10 put dup 174 /a11 put dup 175 /a12 put dup 176 /a13 put dup 177 /a14 put dup 178 /a15 put dup 179 /a16 put dup 180 /a17 put dup 181 /a18 put dup 182 /a19 put dup 183 /a20 put dup 184 /a21 put dup 185 /a22 put dup 186 /a23 put dup 187 /a24 put dup 188 /a25 put dup 189 /a26 put dup 190 /a27 put dup 191 /a28 put dup 192 /a29 put dup 193 /a30 put dup 194 /a31 put dup 195 /a32 put dup 0 /a0 put dup 1 /a1 put dup 2 /a2 put dup 3 /a3 put dup 4 /a4 put dup 5 /a5 put dup 6 /a6 put dup 7 /a7 put dup 8 /a8 put dup 9 /a9 put dup 10 /a10 put dup 11 /a11 put dup 12 /a12 put dup 13 /a13 put dup 14 /a14 put dup 15 /a15 put dup 16 /a16 put dup 17 /a17 put dup 18 /a18 put dup 19 /a19 put dup 20 /a20 put dup 21 /a21 put dup 22 /a22 put dup 23 /a23 put dup 24 /a24 put dup 25 /a25 put dup 26 /a26 put dup 27 /a27 put dup 28 /a28 put dup 29 /a29 put dup 30 /a30 put dup 31 /a31 put dup 32 /a32 put dup 33 /a33 put dup 34 /a34 put dup 35 /a35 put dup 36 /a36 put dup 37 /a37 put dup 38 /a38 put dup 39 /a39 put dup 96 /a96 put dup 97 /a97 put dup 98 /a98 put dup 99 /a99 put dup 100 /a100 put dup 101 /a101 put dup 102 /a102 put dup 103 /a103 put dup 104 /a104 put dup 105 /a105 put dup 106 /a106 put dup 107 /a107 put dup 108 /a108 put dup 109 /a109 put dup 110 /a110 put dup 112 /a112 put dup 113 /a113 put dup 114 /a114 put dup 115 /a115 put dup 116 /a116 put dup 117 /a117 put dup 118 /a118 put dup 119 /a119 put dup 120 /a120 put dup 121 /a121 put dup 122 /a122 put dup 123 /a123 put dup 124 /a124 put dup 125 /a125 put dup 126 /a126 put dup 128 /a32 put dup 160 /space put readonly def /FontBBox{-2000 -2000 2080 2080}readonly def /UniqueID 5011943 def currentdict end currentfile eexec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cleartomark %%EndFont %%BeginFont: LINEW10 %!PS-AdobeFont-1.1: LINEW10 1.00 %%CreationDate: 1992 Oct 23 20:22:06 % 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 (LINEW10) readonly def /FamilyName (LaTeX) readonly def /Weight (Bold) readonly def /ItalicAngle 0 def /isFixedPitch false def end readonly def /FontName /LINEW10 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 /a0 put dup 162 /a1 put dup 163 /a2 put dup 164 /a3 put dup 165 /a4 put dup 166 /a5 put dup 169 /a8 put dup 170 /a9 put dup 173 /a10 put dup 174 /a11 put dup 175 /a12 put dup 176 /a13 put dup 177 /a14 put dup 178 /a15 put dup 179 /a16 put dup 180 /a17 put dup 181 /a18 put dup 182 /a19 put dup 183 /a20 put dup 184 /a21 put dup 186 /a23 put dup 187 /a24 put dup 188 /a25 put dup 189 /a26 put dup 190 /a27 put dup 191 /a28 put dup 192 /a29 put dup 193 /a30 put dup 195 /a32 put dup 0 /a0 put dup 1 /a1 put dup 2 /a2 put dup 3 /a3 put dup 4 /a4 put dup 5 /a5 put dup 8 /a8 put dup 9 /a9 put dup 10 /a10 put dup 11 /a11 put dup 12 /a12 put dup 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0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 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 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 195 /arrowleft put dup 196 /spade put dup 0 /minus put dup 1 /periodcentered put dup 2 /multiply put dup 3 /asteriskmath put dup 4 /divide put dup 5 /diamondmath put dup 6 /plusminus put dup 7 /minusplus put dup 8 /circleplus put dup 9 /circleminus put dup 10 /circlemultiply put dup 11 /circledivide put dup 12 /circledot put dup 13 /circlecopyrt put dup 14 /openbullet put dup 15 /bullet put dup 16 /equivasymptotic put dup 17 /equivalence put dup 18 /reflexsubset put dup 19 /reflexsuperset put dup 20 /lessequal put dup 21 /greaterequal put dup 22 /precedesequal put dup 23 /followsequal put dup 24 /similar put dup 25 /approxequal put dup 26 /propersubset put dup 27 /propersuperset put dup 28 /lessmuch put dup 29 /greatermuch put dup 30 /precedes put dup 31 /follows put dup 32 /arrowleft put dup 33 /arrowright put dup 34 /arrowup put dup 35 /arrowdown put dup 36 /arrowboth put dup 37 /arrownortheast put dup 38 /arrowsoutheast put dup 39 /similarequal put dup 40 /arrowdblleft put dup 41 /arrowdblright put dup 42 /arrowdblup put dup 43 /arrowdbldown put dup 44 /arrowdblboth put dup 45 /arrownorthwest put dup 46 /arrowsouthwest put dup 47 /proportional put dup 48 /prime put dup 49 /infinity put dup 50 /element put dup 51 /owner put dup 52 /triangle put dup 53 /triangleinv put dup 54 /negationslash put dup 55 /mapsto put dup 56 /universal put dup 57 /existential put dup 58 /logicalnot put dup 59 /emptyset put dup 60 /Rfractur put dup 61 /Ifractur put dup 62 /latticetop put dup 63 /perpendicular put dup 64 /aleph 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 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 88 /X put dup 89 /Y put dup 90 /Z put dup 91 /union put dup 92 /intersection put dup 93 /unionmulti put dup 94 /logicaland put dup 95 /logicalor put dup 96 /turnstileleft put dup 97 /turnstileright put dup 98 /floorleft put dup 99 /floorright put dup 100 /ceilingleft put dup 101 /ceilingright put dup 102 /braceleft put dup 103 /braceright put dup 104 /angbracketleft put dup 105 /angbracketright put dup 106 /bar put dup 107 /bardbl put dup 108 /arrowbothv put dup 109 /arrowdblbothv put dup 110 /backslash put dup 111 /wreathproduct put dup 112 /radical put dup 113 /coproduct put dup 114 /nabla put dup 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{-30 -955 1185 779}readonly def /UniqueID 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0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 cleartomark %%EndFont %%BeginFont: CMBSY10 %!PS-AdobeFont-1.1: CMBSY10 1.00 %%CreationDate: 1992 Jul 23 21:21:18 % 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 (CMBSY10) readonly def /FamilyName (Computer Modern) readonly def /Weight (Bold) readonly def /ItalicAngle -14.035 def /isFixedPitch false def end readonly def /FontName /CMBSY10 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 195 /arrowleft put dup 196 /spade put dup 0 /minus put dup 1 /periodcentered put dup 2 /multiply put dup 3 /asteriskmath put dup 4 /divide put dup 5 /diamondmath put dup 6 /plusminus put dup 7 /minusplus put dup 8 /circleplus put dup 9 /circleminus put dup 10 /circlemultiply put dup 11 /circledivide put dup 12 /circledot put dup 13 /circlecopyrt put dup 14 /openbullet put dup 15 /bullet put dup 16 /equivasymptotic put dup 17 /equivalence put dup 18 /reflexsubset put dup 19 /reflexsuperset put dup 20 /lessequal put dup 21 /greaterequal put dup 22 /precedesequal put dup 23 /followsequal put dup 24 /similar put dup 25 /approxequal put dup 26 /propersubset put dup 27 /propersuperset put dup 28 /lessmuch put dup 29 /greatermuch put dup 30 /precedes put dup 31 /follows put dup 32 /arrowleft put dup 33 /arrowright put dup 34 /arrowup put dup 35 /arrowdown put dup 36 /arrowboth put dup 37 /arrownortheast put dup 38 /arrowsoutheast put dup 39 /similarequal put dup 40 /arrowdblleft put dup 41 /arrowdblright put dup 42 /arrowdblup put dup 43 /arrowdbldown put dup 44 /arrowdblboth put dup 45 /arrownorthwest put dup 46 /arrowsouthwest put dup 47 /proportional put dup 48 /prime put dup 49 /infinity put dup 50 /element put dup 51 /owner put dup 52 /triangle put dup 53 /triangleinv put dup 54 /negationslash put dup 55 /mapsto put dup 56 /universal put dup 57 /existential put dup 58 /logicalnot put dup 59 /emptyset put dup 60 /Rfractur put dup 61 /Ifractur put dup 62 /latticetop put dup 63 /perpendicular put dup 64 /aleph 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 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 88 /X put dup 89 /Y put dup 90 /Z put dup 91 /union put dup 92 /intersection put dup 93 /unionmulti put dup 94 /logicaland put dup 95 /logicalor put dup 96 /turnstileleft put dup 97 /turnstileright put dup 98 /floorleft put dup 99 /floorright put dup 100 /ceilingleft put dup 101 /ceilingright put dup 102 /braceleft put dup 103 /braceright put dup 104 /angbracketleft put dup 105 /angbracketright put dup 106 /bar put dup 107 /bardbl put dup 108 /arrowbothv put dup 109 /arrowdblbothv put dup 110 /backslash put dup 111 /wreathproduct put dup 112 /radical put dup 113 /coproduct put dup 114 /nabla put dup 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 dup 160 /space put readonly def /FontBBox{-27 -940 1332 825}readonly 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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 (CMCSC10) readonly def /FamilyName (Computer Modern) readonly def /Weight (Medium) readonly def /ItalicAngle 0 def /isFixedPitch false def end readonly def /FontName /CMCSC10 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 /suppress put dup 196 /dieresis put dup 0 /Gamma put dup 1 /Delta put dup 2 /Theta put dup 3 /Lambda put dup 4 /Xi put dup 5 /Pi put dup 6 /Sigma put dup 7 /Upsilon put dup 8 /Phi put dup 9 /Psi put dup 10 /Omega put dup 11 /arrowup put dup 12 /arrowdown put dup 13 /quotesingle put dup 14 /exclamdown put dup 15 /questiondown put dup 16 /dotlessi put dup 17 /dotlessj put dup 18 /grave put dup 19 /acute put dup 20 /caron put dup 21 /breve put dup 22 /macron put dup 23 /ring put dup 24 /cedilla put dup 25 /germandbls put dup 26 /ae put dup 27 /oe put dup 28 /oslash put dup 29 /AE put dup 30 /OE put dup 31 /Oslash put dup 32 /suppress put dup 33 /exclam put dup 34 /quotedblright put dup 35 /numbersign put dup 36 /dollar put dup 37 /percent put dup 38 /ampersand put dup 39 /quoteright put dup 40 /parenleft put dup 41 /parenright put dup 42 /asterisk 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 60 /less put dup 61 /equal put dup 62 /greater put dup 63 /question put dup 64 /at 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 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 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 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{14 -250 1077 750}readonly def /UniqueID 5000772 def currentdict end currentfile eexec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cleartomark %%EndFont %%BeginFont: CMMI10 %!PS-AdobeFont-1.1: CMMI10 1.100 %%CreationDate: 1996 Jul 23 07:53:57 % Copyright (C) 1997 American Mathematical Society. All Rights Reserved. 11 dict begin /FontInfo 7 dict dup begin /version (1.100) readonly def /Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def /FullName (CMMI10) readonly def /FamilyName (Computer Modern) readonly def /Weight (Medium) readonly def /ItalicAngle -14.04 def /isFixedPitch false def end readonly def /FontName /CMMI10 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 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 179 /zeta put dup 180 /eta put dup 181 /theta put dup 182 /iota put dup 183 /kappa put dup 184 /lambda put dup 185 /mu put dup 186 /nu put dup 187 /xi put dup 188 /pi put dup 189 /rho put dup 190 /sigma put dup 191 /tau put dup 192 /upsilon put dup 193 /phi put dup 194 /chi put dup 195 /psi put dup 196 /tie put dup 0 /Gamma put dup 1 /Delta put dup 2 /Theta put dup 3 /Lambda put dup 4 /Xi put dup 5 /Pi put dup 6 /Sigma put dup 7 /Upsilon put dup 8 /Phi put dup 9 /Psi put dup 10 /Omega put dup 11 /alpha put dup 12 /beta put dup 13 /gamma put dup 14 /delta put dup 15 /epsilon1 put dup 16 /zeta put dup 17 /eta put dup 18 /theta put dup 19 /iota put dup 20 /kappa put dup 21 /lambda put dup 22 /mu put dup 23 /nu put dup 24 /xi put dup 25 /pi put dup 26 /rho put dup 27 /sigma put dup 28 /tau put dup 29 /upsilon put dup 30 /phi put dup 31 /chi put dup 32 /psi put dup 33 /omega put dup 34 /epsilon put dup 35 /theta1 put dup 36 /pi1 put dup 37 /rho1 put dup 38 /sigma1 put dup 39 /phi1 put dup 40 /arrowlefttophalf put dup 41 /arrowleftbothalf put dup 42 /arrowrighttophalf put dup 43 /arrowrightbothalf put dup 44 /arrowhookleft put dup 45 /arrowhookright put dup 46 /triangleright put dup 47 /triangleleft put dup 48 /zerooldstyle put dup 49 /oneoldstyle put dup 50 /twooldstyle put dup 51 /threeoldstyle put dup 52 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cleartomark %%EndFont %%BeginFont: CMSY9 %!PS-AdobeFont-1.1: CMSY9 1.0 %%CreationDate: 1991 Aug 15 07:22:27 % Copyright (C) 1997 American Mathematical Society. All Rights Reserved. 11 dict begin /FontInfo 7 dict dup begin /version (1.0) readonly def /Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def /FullName (CMSY9) readonly def /FamilyName (Computer Modern) readonly def /Weight (Medium) readonly def /ItalicAngle -14.035 def /isFixedPitch false def end readonly def /FontName /CMSY9 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 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 195 /arrowleft put dup 196 /spade put dup 0 /minus put dup 1 /periodcentered put dup 2 /multiply put dup 3 /asteriskmath put dup 4 /divide put dup 5 /diamondmath put dup 6 /plusminus put dup 7 /minusplus put dup 8 /circleplus put dup 9 /circleminus put dup 10 /circlemultiply put dup 11 /circledivide put dup 12 /circledot put dup 13 /circlecopyrt put dup 14 /openbullet put dup 15 /bullet put dup 16 /equivasymptotic put dup 17 /equivalence put dup 18 /reflexsubset put dup 19 /reflexsuperset put dup 20 /lessequal put dup 21 /greaterequal put dup 22 /precedesequal put dup 23 /followsequal put dup 24 /similar put dup 25 /approxequal put dup 26 /propersubset put dup 27 /propersuperset put dup 28 /lessmuch put dup 29 /greatermuch put dup 30 /precedes put dup 31 /follows put dup 32 /arrowleft put dup 33 /arrowright put dup 34 /arrowup put dup 35 /arrowdown put dup 36 /arrowboth put dup 37 /arrownortheast put dup 38 /arrowsoutheast put dup 39 /similarequal put dup 40 /arrowdblleft put dup 41 /arrowdblright put dup 42 /arrowdblup put dup 43 /arrowdbldown put dup 44 /arrowdblboth put dup 45 /arrownorthwest put dup 46 /arrowsouthwest put dup 47 /proportional put dup 48 /prime put dup 49 /infinity put dup 50 /element put dup 51 /owner put dup 52 /triangle put dup 53 /triangleinv put dup 54 /negationslash put dup 55 /mapsto put dup 56 /universal put dup 57 /existential put dup 58 /logicalnot put dup 59 /emptyset put dup 60 /Rfractur put dup 61 /Ifractur put dup 62 /latticetop put dup 63 /perpendicular put dup 64 /aleph 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 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 88 /X put dup 89 /Y put dup 90 /Z put dup 91 /union put dup 92 /intersection put dup 93 /unionmulti put dup 94 /logicaland put dup 95 /logicalor put dup 96 /turnstileleft put dup 97 /turnstileright put dup 98 /floorleft put dup 99 /floorright put dup 100 /ceilingleft put dup 101 /ceilingright put dup 102 /braceleft put dup 103 /braceright put dup 104 /angbracketleft put dup 105 /angbracketright put dup 106 /bar put dup 107 /bardbl put dup 108 /arrowbothv put dup 109 /arrowdblbothv put dup 110 /backslash put dup 111 /wreathproduct put dup 112 /radical put dup 113 /coproduct put dup 114 /nabla put dup 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{-30 -958 1146 777}readonly def /UniqueID 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0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 cleartomark %%EndFont %%BeginFont: CMMI9 %!PS-AdobeFont-1.1: CMMI9 1.100 %%CreationDate: 1996 Jul 23 07:53:55 % Copyright (C) 1997 American Mathematical Society. All Rights Reserved. 11 dict begin /FontInfo 7 dict dup begin /version (1.100) readonly def /Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def /FullName (CMMI9) readonly def /FamilyName (Computer Modern) readonly def /Weight (Medium) readonly def /ItalicAngle -14.04 def /isFixedPitch false def end readonly def /FontName /CMMI9 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 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 179 /zeta put dup 180 /eta put dup 181 /theta put dup 182 /iota put dup 183 /kappa put dup 184 /lambda put dup 185 /mu put dup 186 /nu put dup 187 /xi put dup 188 /pi put dup 189 /rho put dup 190 /sigma put dup 191 /tau put dup 192 /upsilon put dup 193 /phi put dup 194 /chi put dup 195 /psi put dup 196 /tie put dup 0 /Gamma put dup 1 /Delta put dup 2 /Theta put dup 3 /Lambda put dup 4 /Xi put dup 5 /Pi put dup 6 /Sigma put dup 7 /Upsilon put dup 8 /Phi put dup 9 /Psi put dup 10 /Omega put dup 11 /alpha put dup 12 /beta put dup 13 /gamma put dup 14 /delta put dup 15 /epsilon1 put dup 16 /zeta put dup 17 /eta put dup 18 /theta put dup 19 /iota put dup 20 /kappa put dup 21 /lambda put dup 22 /mu put dup 23 /nu put dup 24 /xi put dup 25 /pi put dup 26 /rho put dup 27 /sigma put dup 28 /tau put dup 29 /upsilon put dup 30 /phi put dup 31 /chi put dup 32 /psi put dup 33 /omega put dup 34 /epsilon put dup 35 /theta1 put dup 36 /pi1 put dup 37 /rho1 put dup 38 /sigma1 put dup 39 /phi1 put dup 40 /arrowlefttophalf put dup 41 /arrowleftbothalf put dup 42 /arrowrighttophalf put dup 43 /arrowrightbothalf put dup 44 /arrowhookleft put dup 45 /arrowhookright put dup 46 /triangleright put dup 47 /triangleleft put dup 48 /zerooldstyle put dup 49 /oneoldstyle put dup 50 /twooldstyle put dup 51 /threeoldstyle put dup 52 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0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 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 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 195 /arrowleft put dup 196 /spade put dup 0 /minus put dup 1 /periodcentered put dup 2 /multiply put dup 3 /asteriskmath put dup 4 /divide put dup 5 /diamondmath put dup 6 /plusminus put dup 7 /minusplus put dup 8 /circleplus put dup 9 /circleminus put dup 10 /circlemultiply put dup 11 /circledivide put dup 12 /circledot put dup 13 /circlecopyrt put dup 14 /openbullet put dup 15 /bullet put dup 16 /equivasymptotic put dup 17 /equivalence put dup 18 /reflexsubset put dup 19 /reflexsuperset put dup 20 /lessequal put dup 21 /greaterequal put dup 22 /precedesequal put dup 23 /followsequal put dup 24 /similar put dup 25 /approxequal put dup 26 /propersubset put dup 27 /propersuperset put dup 28 /lessmuch put dup 29 /greatermuch put dup 30 /precedes put dup 31 /follows put dup 32 /arrowleft put dup 33 /arrowright put dup 34 /arrowup put dup 35 /arrowdown put dup 36 /arrowboth put dup 37 /arrownortheast put dup 38 /arrowsoutheast put dup 39 /similarequal put dup 40 /arrowdblleft put dup 41 /arrowdblright put dup 42 /arrowdblup put dup 43 /arrowdbldown put dup 44 /arrowdblboth put dup 45 /arrownorthwest put dup 46 /arrowsouthwest put dup 47 /proportional put dup 48 /prime put dup 49 /infinity put dup 50 /element put dup 51 /owner put dup 52 /triangle put dup 53 /triangleinv put dup 54 /negationslash put dup 55 /mapsto put dup 56 /universal put dup 57 /existential put dup 58 /logicalnot put dup 59 /emptyset put dup 60 /Rfractur put dup 61 /Ifractur put dup 62 /latticetop put dup 63 /perpendicular put dup 64 /aleph 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 81 /Q put dup 82 /R put dup 83 /S put dup 84 /T put dup 85 /U put dup 86 /V put dup 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0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 cleartomark %%EndFont %%BeginFont: CMTT9 %!PS-AdobeFont-1.1: CMTT9 1.0 %%CreationDate: 1991 Aug 20 16:46:24 % Copyright (C) 1997 American Mathematical Society. All Rights Reserved. 11 dict begin /FontInfo 7 dict dup begin /version (1.0) readonly def /Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def /FullName (CMTT9) readonly def /FamilyName (Computer Modern) readonly def /Weight (Medium) readonly def /ItalicAngle 0 def /isFixedPitch true def end readonly def /FontName /CMTT9 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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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 60 /less put dup 61 /equal put dup 62 /greater put dup 63 /question put dup 64 /at 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 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 88 /X put dup 89 /Y put dup 90 /Z put dup 91 /bracketleft put dup 92 /backslash put dup 93 /bracketright put dup 94 /asciicircum put dup 95 /underscore 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 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Copyright (C) 1997 American Mathematical Society. All Rights Reserved. 11 dict begin /FontInfo 7 dict dup begin /version (1.0) readonly def /Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def /FullName (CMTI9) readonly def /FamilyName (Computer Modern) readonly def /Weight (Medium) readonly def /ItalicAngle -14.04 def /isFixedPitch false def end readonly def /FontName /CMTI9 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 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 4 /Xi put dup 5 /Pi put dup 6 /Sigma put dup 7 /Upsilon put dup 8 /Phi put dup 9 /Psi put dup 10 /Omega put dup 11 /ff put dup 12 /fi put dup 13 /fl put dup 14 /ffi put dup 15 /ffl put dup 16 /dotlessi put dup 17 /dotlessj put dup 18 /grave put dup 19 /acute put dup 20 /caron put dup 21 /breve put dup 22 /macron put dup 23 /ring put dup 24 /cedilla put dup 25 /germandbls put dup 26 /ae put dup 27 /oe put dup 28 /oslash put dup 29 /AE put dup 30 /OE put dup 31 /Oslash put dup 32 /suppress put dup 33 /exclam put dup 34 /quotedblright put dup 35 /numbersign put dup 36 /sterling put dup 37 /percent put dup 38 /ampersand put dup 39 /quoteright put dup 40 /parenleft put dup 41 /parenright put dup 42 /asterisk 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 60 /exclamdown put dup 61 /equal put dup 62 /questiondown put dup 63 /question put dup 64 /at 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 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 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 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{-35 -250 1148 750}readonly def /UniqueID 5000827 def currentdict end currentfile eexec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y Fp(Examples:)597 2604 y Fz({)42 b Fy(Bill)27 b(and)h(Hillary)f(Clin)n(ton)g(are)g(in)h (a)f(Marriage)e(relationship.)597 2704 y Fz({)42 b Fy(Einstein)d(w)n (as)g(in)g(a)h(Ha)n(v)n(e-Capabilit)n(y)d(relationship)i(with)h(the)g (Activit)n(y)f(of)h(dev)n(eloping)e(a)687 2804 y(general)26 b(theory)h(of)g(relativit)n(y)-7 b(.)390 2934 y(F)g(urther)30 b(distinctions)g(can)g(b)r(e)g(made)g(re\015ecting)f(the)i(use)e(of)h (the)h(mathematical)e(concept)h(of)g(a)f(tuple.)390 3034 y(F)-7 b(or)25 b(example,)g(in)g(mathematics,)g(the)h(set)f(of)f(all)h (tuples)g(related)g(in)g(a)f(certain)h(w)n(a)n(y)f(is)g(a)h(useful)g (concept)390 3134 y(\(e.g.)37 b(the)28 b(set)g(of)f(all)g(married)g (couples\).)390 3249 y(As)38 b(for)g(ENTITY,)g(to)g(conform)f(with)i (common)e(English)g(usage,)j(and)e(to)g(a)n(v)n(oid)e(complicating)i (the)390 3348 y(text)29 b(of)f(the)g(de\014nitions)h(in)f(the)h (Informal)e(EO,)h(w)n(e)f(will)i(use)f(the)g(w)n(ord)f(`Relationship')h (fairly)g(lo)r(osely)-7 b(,)390 3448 y(including)23 b(v)-5 b(arious)21 b(of)i(the)g(ab)r(o)n(v)n(e)e(meanings.)34 b(In)23 b Fu(x)f Fy(8)h(w)n(e)f(explain)g(ho)n(w)g(these)g(concepts)g (are)g(formalised.)0 3612 y Fz(R)m(OLE:)41 b Fy(the)28 b(w)n(a)n(y)e(in)i(whic)n(h)g(an)f(ENTITY)h(participates)e(in)i(a)f (RELA)-7 b(TIONSHIP)g(.)208 3743 y Fp(Examples:)307 3875 y Fu(\017)41 b Fy(V)-7 b(endor)27 b(is)h(a)f(R)n(OLE)g(pla)n(y)n(ed)f (b)n(y)h(an)h(ENTITY)f(in)h(a)f(Sale)h(RELA)-7 b(TIONSHIP)27 b(\(see)g Fu(x)h Fy(7\).)208 4039 y Fp(Notes:)284 4171 y Fy(1.)41 b(A)28 b(participating)f(ENTITY)h(is)f(said)g(to)h(b)r(e)g Fp(playing)h Fy(the)f(R)n(OLE.)284 4286 y(2.)41 b(Strictly)28 b(sp)r(eaking,)f(the)h(correct)e(w)n(a)n(y)h(to)g(refer)g(to)h(an)f(En) n(tit)n(y)g(pla)n(ying)g(a)g(particular)g(R)n(OLE,)f(is)i(to)f(use)390 4385 y(a)j(phrase)g(lik)n(e)g(`the)h(En)n(tit)n(y)f(pla)n(ying)g(the)g (V)-7 b(endor)31 b(R)n(OLE'.)e(This)i(is)f(a)n(wkw)n(ard,)f(and)i (instead,)g(w)n(e)f(will)390 4485 y(often)e(use)g(the)f(shorter)g 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b(of)h(the)h(On)n(tology)d(who)h(de\014ne)h(RELA)-7 b(TIONSHIPS)27 b(should)g(indicate)g(whic)n(h)g(R)n(OLES)e(are)h(A)n (C-)390 3973 y(TOR)i(R)n(OLES.)0 4137 y Fz(A)m(CTOR:)41 b Fy(an)28 b(ENTITY)f(that)h Fp(actual)t(ly)j(plays)e Fy(an)e(A)n(CTOR)h(R)n(OLE)e(in)i(a)f(RELA)-7 b(TIONSHIP)g(.)208 4268 y Fp(Notes:)284 4400 y Fy(1.)41 b(Whether)28 b(or)f(not)g(a)h(giv) n(en)e(ENTITY)i(is)g(an)f(A)n(CTOR)g(or)g(not)g(dep)r(ends)h(on)g(what) f(RELA)-7 b(TIONSHIPS)390 4500 y(it)31 b(is)g(participating)e(in)i(at)g (a)f(giv)n(en)f(p)r(oin)n(t)i(in)g(time.)46 b(The)31 b(same)f(ENTITY)g(migh)n(t)h(b)r(e)g(an)f(A)n(CTOR)g(at)390 4599 y(one)d(time)i(but)f(not)f(at)h(another)e(time.)0 4763 y Fz(POTENTIAL)33 b(A)m(CTOR:)41 b Fy(an)33 b(ENTITY)h(that)g Fp(c)l(an)h(play)g Fy(an)e(A)n(CTOR)h(R)n(OLE)e(in)i(a)f(RELA)-7 b(TIONSHIP)g(,)33 b Fp(i.e.)208 4863 y Fy(an)27 b(ENTITY)g(for)h(whic)n (h)f(some)g(notion)g(of)h(doing)f(or)g(cognition)f(is)i(p)r(ossible.) 208 4994 y Fp(Notes:)284 5126 y Fy(1.)41 b(An)28 b(ENTITY)g(is)g (either)f(alw)n(a)n(ys)f(a)h(POTENTIAL)g(A)n(CTOR,)g(or)g(nev)n(er)f (one.)37 b(It)28 b(do)r(es)f(not)h(dep)r(end)g(on)390 5226 y(what)g(RELA)-7 b(TIONSHIPS)27 b(it)h(is)g(participating)e(in)i (\(unlik)n(e)g(A)n(CTOR\).)284 5341 y(2.)41 b(The)31 b(set)h(of)f(POTENTIAL)f(A)n(CTORS)h(curren)n(tly)f(includes,)i(but)g (is)f(not)g(necessarily)f(limited)i(to)f(the)390 5440 y(follo)n(wing:)462 5571 y Fu(\017)41 b Fy(P)n(erson)462 5670 y Fu(\017)g Fy(Organisational)25 b(Unit)p eop %%Page: 17 19 17 18 bop 0 100 a Fw(KER:)23 b(Revised)h(Completed)h(Draft)447 b Fy(The)28 b(En)n(terprise)e(On)n(tology)1115 b(P)n(age)26 b(17)462 390 y Fu(\017)41 b Fy(Mac)n(hine)284 523 y(3.)g(If)35 b(users)e(of)g(the)i(On)n(tology)d(require)g(other)i(ENTITIES)f(to)h(b) r(e)g(A)n(CTORS,)g(they)g(should)g(review)f(the)390 623 y(On)n(tology)i(RELA)-7 b(TIONSHIPS)36 b(using)h(the)g(A)n(CTOR)f(R)n (OLE)f(to)i(ensure)f(the)h(addition)f(is)h(v)-5 b(alid)37 b(for)390 722 y(them.)f(If)22 b(it)h(is,)g(then)g(the)f(new)g(kind)h (of)f(ENTITY)g(m)n(ust)g(b)r(e)h(added)e(to)h(the)h(ab)r(o)n(v)n(e)e (list)h(of)g(POTENTIAL)390 822 y(A)n(CTORS.)284 938 y(4.)41 b(A)29 b(more)f(elab)r(orate)f(classi\014cation)g(of)h(POTENTIAL)g(A)n (CTORS)g(migh)n(t)h(consist)e(of)i(t)n(w)n(o)f(main)g(t)n(yp)r(es:)390 1038 y Fp(Natur)l(al)22 b Fy(and)g Fp(A)n(rti\014cial)p Fy(,)i(the)f(latter)f(b)r(eing)g(synon)n(ymous)f(with)i(Mac)n(hines.)34 b Fp(A)n(nimals)p Fy(,)24 b(of)e(whic)n(h)g(P)n(erson)390 1137 y(could)d(b)r(e)h(a)f(sp)r(ecial)g(t)n(yp)r(e)h(w)n(ould)f(come)g (under)g(the)h(former)e(category)f(as)i(w)n(ould)g Fp(Gr)l(avity)i Fy(whic)n(h)e(is)g(rather)390 1237 y(di\013eren)n(t,)j(and)e(migh)n(t)g (b)r(e)g(classi\014ed)f(separately)g(as)g Fp(In-A)n(nimate)p Fy(.)34 b Fp(A)n(rti\014cial)20 b Fy(POTENTIAL)f(A)n(CTORS)390 1337 y(migh)n(t)28 b(b)r(e)g(further)f(classi\014ed,)g Fp(e.g.)38 b Fy(in)n(to)28 b(ph)n(ysical)e(and)i(conceptual)f(Mac)n (hines.)284 1453 y(5.)41 b(Some)33 b(A)n(CTOR)g(R)n(OLES)f(can)h(b)r(e) h(pla)n(y)n(ed)e(b)n(y)h(only)g Fp(some)g Fy(of)h(the)f(ab)r(o)n(v)n(e) f(POTENTIAL)g(A)n(CTORS.)390 1553 y(F)-7 b(or)31 b(example,)g(it)h(ma)n (y)f(not)g(b)r(e)g(allo)n(w)n(ed)f(for)h(a)f(MA)n(CHINE)i(to)f(o)n(wn)f (something.)47 b(Where)31 b(agreemen)n(t)390 1652 y(exists,)36 b(suc)n(h)e(restrictions)e(ma)n(y)i(b)r(e)g(sp)r(eci\014ed)h(in)f(the)h (On)n(tology)d(itself;)38 b(alternativ)n(ely)33 b(they)h(ma)n(y)g(b)r (e)390 1752 y(sp)r(eci\014ed)28 b(later)f(b)n(y)g(individual)h(users.)0 2059 y Fo(3.3)112 b(Time)0 2287 y Fy(The)24 b(concept)h(of)f(time)h(is) f(not)h(sp)r(eci\014c)f(to)g(En)n(terprises,)g(but)h(is)f(used)g(b)n(y) g(them.)37 b(Rather)24 b(than)g(to)h(re-think)e(existing)0 2386 y(w)n(ork)i(on)g(represen)n(ting)g(time,)i(w)n(e)e(imp)r(orted)i (terms)e(and)h(de\014nitions)g(from)g(KRSL)g([13)o(])g(whic)n(h)g(in)g (turn)h(w)n(as)e(based)0 2486 y(on)i(Allen's)h(w)n(ork)e([1].)0 2660 y(An)37 b(A)n(CTIVITY)f(is)g(p)r(erformed)g(o)n(v)n(er)e(a)i(TIME) g(INTER)-9 b(V)g(AL,)36 b(whic)n(h)g(is)g(comprised)f(of)i(TIME)e (POINTS.)h(The)0 2760 y(latter)28 b(comprise)g(a)g(TIME)g(LINE.)g(W)-7 b(e)29 b(de\014ne)g(just)g(these)g(three)f(terms)2329 2730 y Fq(5)2366 2760 y Fy(.)40 b(W)-7 b(e)29 b(an)n(ticipate)f(that)g (additional)g(terms)0 2860 y(for)35 b(represen)n(ting)e(time)j(will)f (b)r(e)h(required)e Fp(e.g.)60 b Fy(a)35 b(`b)r(efore')g(relationship)f (for)h(sp)r(ecifying)g(temp)r(oral)f(constrain)n(ts)0 2959 y(b)r(et)n(w)n(een)26 b(SUB-A)n(CTIVITIES)f(in)h(a)g(PLAN.)f(They) h(are)f(already)f(formally)h(enco)r(ded)h(in)g(On)n(tolingua)e(and)i (publicly)0 3059 y(a)n(v)-5 b(ailable.)39 b(An)29 b(on)n(tology)e (called)h(`Simple-Time')h(from)g(the)g(KSL)f(Library)f(of)i(On)n (tologies)e([4)o(])i(is)g(imp)r(orted)g(in)g(the)0 3159 y(F)-7 b(ormal)27 b(EO.)0 3416 y Fz(TIME)32 b(LINE:)41 b Fy(an)27 b(ordered,)g(con)n(tin)n(uous,)f(in\014nite)j(sequence)e(of) g(TIME)g(POINTS.)0 3582 y Fz(TIME)32 b(POINT:)41 b Fy(a)27 b(particular,)g(instan)n(taneous)f(p)r(oin)n(t)i(in)g(time;)208 3715 y Fp(Notes:)284 3848 y Fy(1.)41 b(a)28 b(TIME)g(POINT)g(can)g (exist)g(indep)r(enden)n(tly)i(from)e(kno)n(wing)f(where)h(it)h(is)f (on)g(the)h(TIME)f(LINE)g(\()p Fp(e.g.)390 3947 y Fy(`when)38 b(the)g(next)f(big)g(earthquak)n(e)f(hits)i(California'\).)65 b(Y)-7 b(ou)37 b(can)g(still)h(talk)f(ab)r(out)h(it)f(and)h(p)r(erhaps) 390 4047 y(constrain)27 b(it)h(to)f(some)g(exten)n(t.)0 4213 y Fz(TIME)32 b(INTER)-11 b(V)g(AL:)42 b Fy(an)27 b(in)n(terv)-5 b(al)26 b(of)i(time)f(sp)r(eci\014ed)h(as)e(t)n(w)n(o)g (TIME)h(POINTS)g(and)g(b)r(ounds)g(on)g(the)g(distance)208 4313 y(b)r(et)n(w)n(een)g(the)h(t)n(w)n(o)f(time)h(p)r(oin)n(ts.)208 4445 y Fp(Notes:)284 4578 y Fy(1.)41 b(The)33 b(b)r(ounds)g(imply)g (that)g(the)g(in)n(terv)-5 b(al)32 b(is)g(in)h(a)f(sense)g(fuzzy;)k(y)n (ou)c(do)g(not)h(kno)n(w)e(ho)n(w)h(long)g(it)h(is)g(or)390 4678 y(necessarily)26 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(this)h(is)g(what)f(A)n(CTIVITY)h(is)g(for.)0 3855 y(W)-7 b(e)30 b(also)f(presen)n(t)g(v)-5 b(arious)29 b(imp)r(ortan)n(t)g (Relationships)g(b)r(et)n(w)n(een)h(A)n(CTIVITIES)g(and)f(other)g (ENTITIES.)h(Imp)r(or-)0 3955 y(tan)n(t)39 b(related)g(concepts)f(are:) 59 b(PLAN,)39 b(whic)n(h)g(is)g(an)g(A)n(CTIVITY)h(SPECIFICA)-7 b(TION)38 b(with)i(an)f(INTENDED)0 4054 y(PURPOSE;)24 b(CAP)-7 b(ABILITY)26 b(to)f(p)r(erform)g(A)n(CTIVITIES,)h(and)f (RESOUR)n(CE)g(whic)n(h)g(is)h(something)f(that)g(can)h(b)r(e)0 4154 y(used)i(or)e(consumed)i(during)f(an)g(A)n(CTIVITY.)0 4461 y Fo(4.1)112 b(Activities)0 4689 y Fz(A)m(CTIVITY:)43 b Fy(something)26 b(done)g(o)n(v)n(er)e(a)i(particular)f Fh(TIME)30 b(INTER)-10 b(V)g(AL)p Fy(.)25 b(The)h(follo)n(wing)g(ma)n (y)f(p)r(ertain)h(to)g(an)208 4789 y Fh(A)n(CTIVITY)p Fy(:)307 4955 y Fu(\017)41 b Fy(has)27 b(PRE-CONDITION\(S\);)307 5088 y Fu(\017)41 b Fy(has)27 b(EFFECT\(S\);)307 5220 y Fu(\017)41 b Fy(is)28 b(p)r(erformed)f(b)n(y)g(one)g(or)g(more)g 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y(men)n(tal)28 b(activities,)f(for)g(example.)284 1320 y(3.)41 b(W)-7 b(e)28 b(wish)f(to)f(allo)n(w)g(PURPOSE-free)f(A)n (CTIVITY,)j(suc)n(h)f(as)f(w)n(ater)g(\015o)n(wing)g(do)n(wn)g(a)h (hill.)37 b(An)28 b(asso)r(ci-)390 1420 y(ation)h(b)r(et)n(w)n(een)g (an)g(A)n(CTIVITY)h(and)f(a)g(PURPOSE)f(can)h(b)r(e)h(made)f(b)n(y)g (matc)n(hing)g(the)h(INTENDED)390 1519 y(PURPOSE)c(of)i(a)f(PLAN)h(to)f (the)h(EFFECT\(S\))g(of)f(A)n(CTIVITIES)h(sp)r(eci\014ed)g(in)g(the)g (PLAN.)284 1652 y(4.)41 b(A)n(CTIVITIES)34 b(ma)n(y)f(b)r(e)h (informally)g(classi\014ed)f(as)g(`strategic',)i(`tactical')e(or)g(`op) r(erational')g(dep)r(end-)390 1752 y(ing)h(on)f(the)h(`lev)n(el')f(of)h (an)f(asso)r(ciated)f Fh(PURPOSE)h Fy(as)g(c)n(haracterised)e(b)n(y)i (the)h Fh(HELP)j(A)n(CHIEVE)390 1851 y Fy(Relationship)28 b(b)r(et)n(w)n(een)f Fh(PURPOSES)p Fy(.)0 2017 y Fz(A)m(CTIVITY)34 b(SPECIFICA)-8 b(TION:)42 b Fy(a)27 b(c)n(haracterisation)e(of)i (something)g(to)h(do;)f(a)g(sp)r(eci\014cation)h(of)f(activit)n(y)-7 b(.)208 2150 y Fp(Notes:)284 2283 y Fy(1.)41 b(an)25 b(A)n(CTIVITY)h(SPECIFICA)-7 b(TION)25 b(can)g(b)r(e)h(though)n(t)g(of) f(as)g(a)g(constrain)n(t)f(functioning)i(as)f(a)g(selector)390 2383 y(iden)n(tifying)j(a)f(restricted)g(range)f(of)i(A)n(CTIVITIES)f (in)h(the)g(univ)n(erse;)284 2499 y(2.)41 b(insofar)23 b(as)g(an)g(A)n(CTIVITY)h(SPECIFICA)-7 b(TION)23 b(will)h(b)r(e)g (built)g(up)g(from)f(v)-5 b(arious)22 b(comp)r(onen)n(ts)h(\(state-)390 2599 y(men)n(ts)f(in)g(some)g(language\),)g(eac)n(h)f(constraining)f (the)i(sp)r(eci\014cation)g(in)g(di\013eren)n(t)g(w)n(a)n(ys,)g(an)g(A) n(CTIVITY)390 2698 y(SPECIFICA)-7 b(TION)27 b(can)g(b)r(e)h(though)n(t) g(of)f(a)g(collection)g(of)h(constrain)n(ts.)284 2814 y(3.)41 b(The)32 b(language)f(for)g(expressing)g(A)n(CTIVITY)h (SPECIFICA)-7 b(TIONS)32 b(will)g(include)g(statemen)n(ts)g(ab)r(out) 390 2914 y(ho)n(w)42 b(A)n(CTIVITIES)h(are)f(decomp)r(osed)g(in)n(to)g (SUB-A)n(CTIVITIES;)h(temp)r(oral)f(ordering)f(of)i(\(SUB-)390 3014 y(\)A)n(CTIVITIES;)28 b(RESOUR)n(CE)e(usage,)h(and)g(m)n(uc)n(h)h (more.)284 3130 y(4.)41 b(An)32 b(A)n(CTIVITY)g(SPECIFICA)-7 b(TION)30 b(is)i(delib)r(erately)f(in)n(tended)g(to)g(include)h(an)n(y) f(degree)f(of)h(sp)r(eci\014-)390 3230 y(cation)c(of)h(A)n(CTIVITIES;)f (for)g(example:)462 3362 y Fu(\017)41 b Fy(a)28 b(trivial)f(lev)n(el)g (of)g(sp)r(eci\014cation:)37 b(`go)27 b(to)g(Edin)n(burgh')462 3479 y Fu(\017)41 b Fy(comprehensiv)n(e)27 b(and)g(detailed)h(set)f(of) h(instructions)f(in)n(v)n(olving)f(man)n(y)h(A)n(CTIVITIES.)284 3611 y(5.)41 b(An)28 b(A)n(CTIVITY)g(SPECIFICA)-7 b(TION)27 b(need)h(not)g(b)r(e)g(EXECUT)-7 b(ABLE;)26 b(p)r(ossible)i(reasons)d (are:)462 3744 y Fu(\017)41 b Fy(it)26 b(con)n(tains)e(constrain)n(ts)g (that)h(cannot)g(b)r(e)h(met)f(\()p Fp(e.g.)38 b Fy(regarding)23 b(RESOUR)n(CE)h(usage)g(or)g(timing\))462 3861 y Fu(\017)41 b Fy(it)27 b(is)f(undersp)r(eci\014ed)h(and/or)d(am)n(biguous,)i(so)f (the)i(DOER)f(has)g(insu\016cien)n(t)g(information)g(to)g(pro-)545 3960 y(ceed)i(with)g(execution;)0 4126 y Fz(EXECUTE:)41 b Fy(a)30 b(Relationship)h(b)r(et)n(w)n(een)f(one)g(or)g(more)f(P)n (oten)n(tial)h(Actors)f(and)i(an)f(A)n(CTIVITY)h(SPECIFICA-)208 4226 y(TION)c(whereb)n(y)g(the)h(one)f(or)g(more)f(P)n(oten)n(tial)h (Actors)g(p)r(erform)g(the)h(sp)r(eci\014ed)g(A)n(CTIVITIES.)208 4359 y Fp(Notes:)284 4491 y Fy(1.)41 b(Because)25 b(a)g(PLAN)g(is)g(an) g(A)n(CTIVITY)h(SPECIFICA)-7 b(TION,)25 b(it)h(is)f(also)f(correct)g (to)i(sp)r(eak)e(of)i(EXECU-)390 4591 y(TION)i(of)f(a)g(PLAN.)284 4707 y(2.)41 b(The)35 b(EXECUTION)f(of)g(a)g(PLAN)h(should)f(result)g (in)h(the)g Fh(A)n(CHIEVEMENT)c Fy(of)k(its)g(INTENDED)390 4807 y(PURPOSE.)0 4973 y Fz(EXECUTED)d(A)m(CTIVITY)i(SPECIFICA)-8 b(TION:)42 b Fy(A)26 b(Relationship)f(b)r(et)n(w)n(een)g(an)g(A)n (CTIVITY)h(SPECIFI-)208 5073 y(CA)-7 b(TION)28 b(and)h(an)f(A)n (CTIVITY)h(whereb)n(y)f(the)h(A)n(CTIVITY)g(is)g(the)g(result)f(of)h ([one])f(EXECUTION)g(of)h(the)208 5172 y(A)n(CTIVITY)f(SPECIFICA)-7 b(TION.)208 5305 y Fp(Notes:)284 5438 y Fy(1.)41 b(An)36 b(A)n(CTIVITY)f(SPECIFICA)-7 b(TION)34 b(has)g(b)r(een)i(executed)e (when)h(all)g(the)g(sp)r(eci\014ed)g(A)n(CTIVITIES)390 5538 y(ha)n(v)n(e)22 b(b)r(een)h(p)r(erformed;)g(if)h(the)f(A)n (CTIVITY)g(SPECIFICA)-7 b(TION)22 b(is)g(a)g(PLAN,)h(then)g(execution)f (should)390 5637 y(result)28 b(in)f(the)h(A)n(CHIEVEMENT)f(of)h(the)g (PLAN'S)g(INTENDED)g(PURPOSE.)p eop %%Page: 20 22 20 21 bop 0 100 a Fw(KER:)23 b(Revised)h(Completed)h(Draft)447 b Fy(The)28 b(En)n(terprise)e(On)n(tology)1115 b(P)n(age)26 b(20)284 390 y(2.)41 b(This)22 b(is)g(a)g(one-to-man)n(y)e (Relationship)i(b)r(ecause)g(an)g(A)n(CTIVITY)g(SPECIFICA)-7 b(TION)22 b(ma)n(y)f(in)h(general)390 490 y(b)r(e)28 b(executed)g(man)n(y)f(times.)0 656 y Fz(T-BEGIN)32 b(and)g(T-END:)41 b Fy(the)33 b(t)n(w)n(o)g(TIME)f(POINTS)h(that)g(de\014ne)g(the)h(TIME) e(INTER)-9 b(V)g(AL)33 b(o)n(v)n(er)e(whic)n(h)i(an)208 756 y(A)n(CTIVITY)28 b(is)f(done;)0 922 y Fz(PRE-CONDITION:)40 b Fy(a)33 b(State)g(Of)g(A\013airs)f(required)g(to)h(b)r(e)g(true)g(in) g(order)f(for)g(the)h(A)n(CTIVITY)g(to)g(b)r(e)g(p)r(er-)208 1021 y(formed.)208 1154 y Fp(Notes:)284 1287 y Fy(1.)41 b(The)25 b(requiremen)n(t)g(ma)n(y)f(b)r(e)h(sp)r(eci\014ed)h(to)f (hold)g(immediately)g(b)r(efore)g(T-BEGIN,)f(immediately)h(b)r(efore) 390 1386 y(T-END,)j(or)e(throughout)h(the)h(whole)f(TIME)h(INTER)-9 b(V)g(AL.)0 1553 y Fz(EFFECT:)41 b Fy(State)28 b(Of)f(A\013airs)h(that) f(is)h(brough)n(t)f(ab)r(out)g([i.e.)37 b(made)28 b(true])f(b)n(y)g (the)h(A)n(CTIVITY.)208 1685 y Fp(Notes:)284 1818 y Fy(1.)41 b(The)33 b(EFFECT)e(ma)n(y)h(b)r(e)g(sp)r(eci\014ed)h(to)f(hold)g (immediately)g(after)g(T-BEGIN,)g(immediately)g(after)g(T-)390 1918 y(END,)c(or)f(throughout)g(the)h(whole)f(TIME)g(INTER)-9 b(V)g(AL.)390 2017 y(F)i(or)31 b(example,)g(ringing)f(a)h(do)r(or)f (buzzer)g(has)h(EFFECT)f(of)h(pro)r(ducing)g(noise)f(during)h(but)g (not)g(b)r(efore)390 2117 y(or)c(after)g(the)h(TIME)f(INTER)-9 b(V)g(AL)28 b(of)f(the)h(A)n(CTIVITY.)0 2283 y Fz(DOER:)40 b Fy(the)31 b(Role)f(of)g(an)g(Actor)f(in)i(a)e(Relationship)h(with)h (an)f(A)n(CTIVITY)g(whereb)n(y)f(the)i(Actor)f(p)r(erforms)f(\(all)208 2383 y(or)d(part)h(of)6 b(\))29 b(the)f(A)n(CTIVITY.)208 2516 y Fp(Notes:)284 2648 y Fy(1.)41 b(There)27 b(ma)n(y)g(b)r(e)h (more)f(than)h(one)f(DOER)g(for)g(a)g(giv)n(en)g(A)n(CTIVITY.)284 2765 y(2.)41 b(Not)28 b(all)f(A)n(CTIVITIES)g(need)h(ha)n(v)n(e)e(an)h (explicit)h(DOER;)f Fp(e.g.)38 b Fy(\015o)n(wing)26 b(w)n(ater;)h(In)g (suc)n(h)h(cases,)e(it)i(ma)n(y)390 2864 y(b)r(e)j(more)f(natural)g(to) g(think)h(of)f(the)h(DOER)g(as)e(the)i(supplier)g(of)f(force)g(b)r (ehind)h(an)f(A)n(CTIVITY)h(\()p Fp(e.g.)390 2964 y Fy(the)d(en)n (vironmen)n(t,)f(gra)n(vit)n(y\).)0 3130 y Fz(SUB-A)m(CTIVITY:)43 b Fy(The)28 b(Role)f(of)g(an)h(A)n(CTIVITY)f(in)h(a)f(Relationship)g (with)h(another)f(A)n(CTIVITY)h(suc)n(h)f(that)208 3230 y(p)r(erformance)37 b(of)i(the)g(\014rst)g(A)n(CTIVITY)g(is)f (considered)g(to)h(b)r(e)g(part)f(of)h(the)g(p)r(erformance)f(of)h(the) g(other)208 3329 y(A)n(CTIVITY.)208 3462 y Fp(Examples:)307 3595 y Fu(\017)i Fy(p)r(erforming)34 b(eac)n(h)g(of)h(the)h(follo)n (wing)d(SUB-A)n(CTIVITIES)i(ma)n(y)f(b)r(e)h(considered)f(to)h(b)r(e)g (part)g(of)f(p)r(er-)390 3694 y(forming)27 b(the)h(A)n(CTIVITY)g(\\go)e (to)i(Edin)n(burgh")456 3811 y Fz({)41 b Fy(go)27 b(to)h(Heathro)n(w) 456 3910 y Fz({)41 b Fy(\015y)28 b(to)g(Edin)n(burgh)e(airp)r(ort)456 4010 y Fz({)41 b Fy(go)27 b(to)h(Edin)n(burgh)e(cit)n(y)i(cen)n(tre)208 4176 y Fp(Notes:)284 4309 y Fy(1.)41 b(T)n(ypically)27 b(an)g(A)n(CTIVITY)h(is)g(decomp)r(osed)f(in)n(to)g(SUB-A)n(CTIVITIES)g (to)h(pro)n(vide)e(more)h(detail.)284 4425 y(2.)41 b(There)33 b(is)h(m)n(uc)n(h)g(more)e(structure)i(in)g(an)f(activit)n(y)g(decomp)r (osition)h(than)f(a)h(simple)g(the)g(set)f(of)h(SUB-)390 4525 y(A)n(CTIVITIES;)28 b Fp(e.g.)38 b Fy(temp)r(oral)27 b(constrain)n(ts)f(ma)n(y)h(de\014ne)h(a)f(partial)g(order.)0 4691 y Fz(A)m(UTHORITY:)42 b Fy(the)34 b(righ)n(t)f(of)h(an)f(Actor)g (to)h(EXECUTE)e(an)i(A)n(CTIVITY)g(SPECIFICA)-7 b(TION.)33 b(Informally)-7 b(,)208 4790 y(this)27 b(is)h(equiv)-5 b(alen)n(t)27 b(to)h(the)g(righ)n(t)f(to)g(p)r(erform)g(one)g(or)g (more)g(A)n(CTIVITIES.)208 4923 y Fp(Notes:)284 5056 y Fy(1.)41 b(The)25 b(holder)g(of)g(A)n(UTHORITY)g(need)h(not)f(ha)n(v) n(e)f(the)h(CAP)-7 b(ABILITY)25 b(to)g(p)r(erform)g(the)g(A)n (CTIVITIES;)284 5172 y(2.)41 b(The)26 b(A)n(CTIVITY)g(that)g(the)h (Actor)e(has)g(the)h(righ)n(t)f(to)h(p)r(erform)f(ma)n(y)g(itself)i(b)r (e)f(the)g(gran)n(ting)e(of)i(suc)n(h)f(a)390 5272 y(righ)n(t,)i (normally)g(to)g(another)g(Actor)g({)g(this)h(is)f(a)h(kind)f(of)h (DELEGA)-7 b(TION.)284 5388 y(3.)41 b(The)28 b(holder)f(of)g(A)n (UTHORITY)h(ma)n(y)f(b)r(e)h(self-authorised;)284 5504 y(4.)41 b(This)28 b(de\014nition)g(allo)n(ws)e(for)h(the)h(case)f(of)g (a)h(MA)n(CHINE)f(ha)n(ving)g(A)n(UTHORITY.)284 5621 y(5.)41 b(The)28 b(idea)f(of)h(CAP)-7 b(ABILITY)27 b(vs)h(A)n(UTHORITY) g(is)f(analogous)e(to)j(that)g(of)f(`can')h(vs)f(`ma)n(y'.)p eop %%Page: 21 23 21 22 bop 0 100 a Fw(KER:)23 b(Revised)h(Completed)h(Draft)447 b Fy(The)28 b(En)n(terprise)e(On)n(tology)1115 b(P)n(age)26 b(21)0 390 y Fz(A)m(CTIVITY)34 b(O)m(WNER:)40 b Fy(Actor)27 b(resp)r(onsible)g(for)g(an)g Fh(A)n(CTIVITY)p Fy(.)208 523 y Fp(Notes:)284 656 y Fy(1.)41 b(Ma)n(y)21 b(b)r(e)i(iden)n (ti\014ed)g(indirectly)f(via)f(Role)h(\(e.g.)35 b(pro)5 b(ject)21 b(manager\))g(or)g(directly)h(as)f(a)h(named)g(PERSON.)284 772 y(2.)41 b(This)28 b(will)g(normally)e(b)r(e)i(NON-LEGAL)f(O)n (WNERSHIP)0 1029 y(Dep)r(ending)f(on)f(their)g(requiremen)n(ts,)f (users)h(of)g(the)g(On)n(tology)f(ma)n(y)g(\014nd)i(the)f(need)g(to)g (de\014ne)h(a)f(v)-5 b(ariet)n(y)24 b(of)h(sp)r(eci\014c)0 1129 y(kind)38 b(of)f(A)n(CTIVITIES.)g(W)-7 b(e)38 b(in)n(tro)r(duce)f (EVENT)g(as)f(one)h(kind)h(of)f(A)n(CTIVITY,)h(but)g(giv)n(e)e(no)h (details.)66 b(This)0 1229 y(allo)n(ws)26 b(users)g(of)h(the)h(On)n (tology)d(to)i(distinguish)g(EVENT)g(from)g(an)f(arbitrary)g(A)n (CTIVITY,)h(while)g(ensuring)g(that)0 1328 y(it)h(inherits)g(all)f(the) h(prop)r(erties)e(of)i(A)n(CTIVITY)g(as)f(de\014ned)h(in)g(the)g(On)n (tology)-7 b(.)0 1586 y Fz(EVENT:)41 b Fy(a)27 b(kind)h(of)f(A)n (CTIVITY)208 1719 y Fp(Notes:)284 1851 y Fy(1.)41 b(V)-7 b(arious)21 b(formalisms)h(for)g(mo)r(delling)g(activities)g (distinguish)g(b)r(et)n(w)n(een)h(EVENT)f(and)g(A)n(CTIVITY;)h(the)390 1951 y(former)28 b(b)r(eing)h(is)f(seen)g(as)g(outside)h(the)g(scop)r (e)f(of)g(in)n(terest)h(of)f(the)h(mo)r(del)g(apart)e(from)i(its)f (EFFECTS.)390 2051 y(In)f(particular,)f(the)i(mo)r(del)f(will)g(not)g (recognise)e(the)j(DOER,)f(the)g(DURA)-7 b(TION,)28 b(or)e(c)n(hoice)g (or)g(con)n(trol)390 2150 y(o)n(v)n(er)g(its)i(o)r(ccurrence)e(\()p Fp(e.g.)39 b Fy(a)27 b(h)n(urricane)f(whic)n(h)h(is)h(p)r(erformed)f(b) n(y)g(the)h(`en)n(vironmen)n(t'\).)284 2267 y(2.)41 b(Another)28 b(common)g(distinction)h(b)r(et)n(w)n(een)f(EVENT)f(and)i(A)n(CTIVITY)f (is)g(that)h(the)f(former)g(is)g(seen)g(as)390 2366 y(instan)n(taneous) 18 b(and)h(the)h(latter)f(as)g(ha)n(ving)f(duration.)33 b(In)20 b(fact,)h(it)e(is)h(arguable)d(that)j(an)n(y)e(ev)n(en)n(t)h (has)g(some)390 2466 y(duration)26 b(ev)n(en)h(if)g(it)h(is)f(not)g (measured,)f(and)h(the)g(duration)f(of)h(A)n(CTIVITY)g(can)g(b)r(e)g (made)g(arbitrarily)390 2565 y(small.)37 b(Therefore,)26 b(this)i(is)g(not)f(considered)g(a)g(v)-5 b(alid)28 b(distinction)f(to) h(include)g(in)g(the)g(On)n(tology)-7 b(.)0 2873 y Fo(4.2)112 b(Plans)0 3100 y Fz(PLAN:)42 b Fy(an)27 b(A)n(CTIVITY)h(SPECIFICA)-7 b(TION)27 b(with)h(an)f(INTENDED)h(PURPOSE.)208 3233 y Fp(Notes:)284 3366 y Fy(1.)41 b(See)28 b(notes)f(under)g(A)n(CTIVITY) i(SPECIFICA)-7 b(TION.)0 3532 y Fz(SUB-PLAN:)42 b Fy(a)18 b(PLAN)h(whose)f(INTENDED)h(PURPOSE)37 b(HELPS)18 b(A)n(CHIEVE)g(the)h (INTENDED)g(PURPOSE)208 3632 y(of)27 b(another)g(PLAN.)0 3798 y Fz(PLANNING:)41 b Fy(an)28 b(A)n(CTIVITY)g(whose)f(INTENDED)h (PURPOSE)e(is)h(to)h(pro)r(duce)f(a)g(PLAN.)0 3964 y Fz(PR)m(OCESS)32 b(SPECIFICA)-8 b(TION:)41 b Fy(a)22 b Fh(PLAN)f Fy(that)i(is)f(in)n(tended)h(to)f(b)r(e)h(or)f(is)g (capable)g(of)g(b)r(eing)h Fh(EXECUTED)208 4064 y Fy(more)j(than)i (once.)208 4196 y Fp(Notes:)284 4329 y Fy(1.)41 b(W)-7 b(e)34 b(in)n(ten)n(tionally)f(do)h(not)g(de\014ne)g(the)g(term)f(`pro) r(cess',)i(as)e(it)h(means)f(so)g(man)n(y)g(things)h(to)g(so)f(man)n(y) 390 4429 y(p)r(eople.)k(The)27 b(terms)g(in)h(this)g(On)n(tology)d (should)i(b)r(e)h(su\016cien)n(t)g(to)f(de\014ne)g(whatev)n(er)g(sp)r (eci\014c)g(notion)g(of)390 4528 y(`pro)r(cess')g(is)g(required.)284 4645 y(2.)41 b(T)n(ypically)-7 b(,)25 b(a)g(PR)n(OCESS)f(SPECIFICA)-7 b(TION)25 b(will)g(b)r(e)h(parameterised)d(to)i(enable)g(reusabilit)n (y)g(in)g(v)-5 b(ar-)390 4744 y(ious)27 b(forms)g(at)h(di\013eren)n(t)g (times.)37 b(As)27 b(suc)n(h,)h(it)g(ma)n(y)f(b)r(e)h(view)n(ed)f(as)g (a)g(PLAN)g(sc)n(hema.)0 5051 y Fo(4.3)112 b(Capabilities)0 5238 y Fz(CAP)-8 b(ABILITY:)43 b Fy(a)27 b(Relationship)g(b)r(et)n(w)n (een)h(a)f(P)n(oten)n(tial)f(Actor)h(and)g(an)h(A)n(CTIVITY)f (SPECIFICA)-7 b(TION)27 b(de-)208 5338 y(noting)g(the)h(abilit)n(y)f (of)h(the)g(P)n(oten)n(tial)e(Actor)h(to)h(p)r(erform)f(the)h(sp)r (eci\014ed)g Fh(A)n(CTIVITIES)p Fy(.)208 5470 y Fp(Notes:)284 5603 y Fy(1.)41 b(The)28 b(idea)f(of)h(CAP)-7 b(ABILITY)27 b(vs)h(A)n(UTHORITY)g(is)f(analogous)e(to)j(that)g(of)f(`can')h(vs)f (`ma)n(y'.)p eop %%Page: 22 24 22 23 bop 0 100 a Fw(KER:)23 b(Revised)h(Completed)h(Draft)447 b Fy(The)28 b(En)n(terprise)e(On)n(tology)1115 b(P)n(age)26 b(22)0 390 y Fz(SKILL:)42 b Fy(a)27 b Fh(CAP)-7 b(ABILITY)25 b Fy(suc)n(h)j(that:)307 556 y Fu(\017)41 b Fy(the)28 b(P)n(oten)n(tial)e(Actor)i(is)f(a)g Fh(PERSON)p Fy(;)307 689 y Fu(\017)41 b Fy(the)28 b(abilit)n(y)f(m)n(ust)h(b)r(e)g (practised/demonstrated)e(to)h(some)g(measurable)f(degree.)0 996 y Fo(4.4)112 b(Resources)0 1183 y Fz(RESOUR)m(CE:)40 b Fy(the)c(Role)f(of)g(an)g(En)n(tit)n(y)g(in)h(a)f(Relationship)g (with)g(an)g(A)n(CTIVITY)h(or)f(A)n(CTIVITY)g(SPECI-)208 1282 y(FICA)-7 b(TION)37 b(whereb)n(y)f(the)h(En)n(tit)n(y)g(is)g(or)f (can)g(b)r(e)h(used)g(or)f(consumed)h(during)g(the)g(p)r(erformance)f (of)h(the)208 1382 y(A)n(CTIVITY)28 b(or)e(the)i(A)n(CTIVITIES)g(as)f (sp)r(eci\014ed)g(in)h(the)g(A)n(CTIVITY)g(SPECIFICA)-7 b(TION.)208 1515 y Fp(Notes:)284 1648 y Fy(1.)41 b(a)32 b(RESOUR)n(CE)f(ma)n(y)h(ha)n(v)n(e)f(a)h(quan)n(ti\014able)g(measure)f (denoting)h(ho)n(w)g(m)n(uc)n(h)g(is)h(a)n(v)-5 b(ailable)31 b(for)h(use)g(in)390 1747 y(A)n(CTIVITIES)390 1847 y Fp(e.g.)38 b Fy(amoun)n(t)28 b(of)f(fuel;)h(n)n(um)n(b)r(er)g(of)f(t)n (yp)r(ewriters)462 1963 y Fu(\017)41 b Fy(If)27 b(the)f(RESOUR)n(CE)e (is)i(used)f(but)i(not)e(consumed,)h(the)g(quan)n(tit)n(y)g(a)n(v)-5 b(ailable)24 b(will)i(decrease)e(at)i(the)545 2063 y(b)r(eginning)35 b(and)g(return)f(to)g(the)i(original)d(lev)n(el)h(at)g(the)h(end)g(of)g (the)g(TIME)f(INTER)-9 b(V)g(AL)35 b(of)g(the)545 2162 y(A)n(CTIVITY.)462 2262 y Fu(\017)41 b Fy(If)f(the)f(RESOUR)n(CE)e(is)i (consumed,)i(the)e(quan)n(tit)n(y)g(a)n(v)-5 b(ailable)37 b(will)i(decrease)e(o)n(v)n(er)g(the)i(TIME)545 2362 y(INTER)-9 b(V)g(AL)28 b(of)f(the)h(A)n(CTIVITY.)284 2494 y(2.)41 b(a)27 b(RESOUR)n(CE)g(ma)n(y)g(b)r(e)h(shared)e(b)n(y)i (more)e(than)i(one)f(A)n(CTIVITY)284 2611 y(3.)41 b(An)31 b(En)n(tit)n(y)f(pro)r(duced)g(b)n(y)g(an)g(A)n(CTIVITY)g(ma)n(y)g(b)r (e)h(view)n(ed)f(as)f(a)h(RESOUR)n(CE)f(in)i(that)f Fp(other)h Fy(A)n(C-)390 2710 y(TIVITIES)26 b(ma)n(y)f(use/consume)g(it;)i(ho)n(w) n(ev)n(er)c(suc)n(h)j(outputs)g(are)f(not)g(RESOUR)n(CES)g(with)i(resp) r(ect)e(to)390 2810 y(the)j(pro)r(ducing)f(A)n(CTIVITY.)0 2976 y Fz(RESOUR)m(CE)k(ALLOCA)-8 b(TION:)42 b Fy(the)28 b(allo)r(cation)f(of)g(RESOUR)n(CES)g(to)g(A)n(CTIVITIES.)208 3109 y Fp(Notes:)284 3242 y Fy(1.)41 b(RESOUR)n(CE)d(ALLOCA)-7 b(TION)39 b(is)h(itself)f(an)g(A)n(CTIVITY,)h(though)f(it)h(ma)n(y)f (not)g(b)r(e)h(necessary)d(to)390 3341 y(mo)r(del)e(it)g(explicitly)g (as)f(suc)n(h.)58 b(Indeed,)37 b(the)e(A)n(CTIVITY)h(of)e(RESOUR)n(CE)g (ALLOCA)-7 b(TION)35 b(itself)390 3441 y(ma)n(y)27 b(ha)n(v)n(e)f (RESOUR)n(CES)h(allo)r(cated)g(to)g(it)h(\(e.g.)37 b(p)r(ersonnel\).) 284 3557 y(2.)k(RESOUR)n(CE)27 b(ALLOCA)-7 b(TION)27 b(is)h(the)g(resp)r(onsibilit)n(y)e(of)i(OUs)284 3673 y(3.)41 b(an)28 b(OU)f(resp)r(onsible)g(for)g(RESOUR)n(CE)f(ALLOCA)-7 b(TION)28 b(ma)n(y)f(DELEGA)-7 b(TE)27 b(it)h(to)f(another)g(OU.)0 3839 y Fz(RESOUR)m(CE)k(SUBSTITUTE:)43 b Fy(a)36 b Fh(RESOUR)n(CE)f Fy(that)h(can)g(b)r(e)h(used)f(or)f(consumed)g(in)i(an)f Fh(A)n(CTIVITY)208 3939 y Fy(instead)27 b(of)h(another)e Fh(RESOUR)n(CE)p Fy(.)0 4246 y Fo(4.5)112 b(Related)38 b(T)-9 b(erms)0 4474 y Fz(4.5.1)94 b(Synon)m(yms)125 4661 y Fu(\017)41 b Fp(Behaviour)p Fy(:)e(A)n(CTIVITY)125 4827 y Fu(\017)i Fp(T)-6 b(ask)p Fy(:)37 b(A)n(CTIVITY)125 4993 y Fu(\017)k Fp(A)l(ction)p Fy(:)36 b(A)n(CTIVITY)0 5283 y Fz(4.5.2)94 b(Borderline)30 b(T)-8 b(erms)101 5470 y Fy(1.)42 b Fp(Personal)30 b(Skil)t(l)p Fy(:)38 b(the)28 b(degree)f(of)g(SKILL)h(recognised)e(for)h(a)g(PERSON)p eop %%Page: 23 25 23 24 bop 0 100 a Fw(KER:)23 b(Revised)h(Completed)h(Draft)447 b Fy(The)28 b(En)n(terprise)e(On)n(tology)1115 b(P)n(age)26 b(23)0 390 y Fz(4.5.3)94 b(Other)32 b(Commonly)e(Used)i(T)-8 b(erms)101 577 y Fy(1.)42 b Fp(Pr)l(o)l(c)l(ess:)37 b Fy(see)27 b(note)h(1)f(under)h(de\014nition)g(of)f(PR)n(OCESS)f (SPECIFICA)-7 b(TION.)0 926 y Fr(5)135 b(Organisation)0 1182 y Fy(The)21 b(cen)n(tral)e(concept)i(in)g(this)g(section)f(is)g (that)h(of)g(an)f(OR)n(GANISA)-7 b(TIONAL)21 b(UNIT,)h(the)f(main)f (structural)g(elemen)n(t)0 1282 y(of)k(an)g(organisation.)33 b(Complex)23 b(OR)n(GANISA)-7 b(TIONAL)25 b(STR)n(UCTURE)f(is)g (captured)f(b)n(y)h(the)g(v)-5 b(arious)23 b(MANA)n(GE)0 1382 y(relationships)j(b)r(et)n(w)n(een)i(OUs.)0 1556 y(First,)h(ho)n(w)n(ev)n(er,)f(w)n(e)h(de\014ne)g(the)g(notions)g(of)g (a)g(LEGAL)g(ENTITY)g(\(whic)n(h)g(includes)g(a)g(PERSON,)f(CORPORA-)0 1656 y(TION)f(etc.\))38 b(and)27 b(a)g(MA)n(CHINE,)h(all)f(of)h(whic)n (h)g(themselv)n(es)f(ma)n(y)f(corresp)r(ond)g(to)i(a)f(single)g(OU.)0 1830 y(Other)c(imp)r(ortan)n(t)g(concepts)g(de\014ned)h(in)f(this)h (section)f(are)g(DELEGA)-7 b(TION,)23 b(O)n(WNERSHIP)-7 b(,)23 b(ST)-7 b(AKEHOLDER,)0 1930 y(SHARE,)28 b(SHAREHOLDER)g(and)f (ASSET.)0 2237 y Fo(5.1)112 b(Legal)39 b(En)m(tities)e(and)h(Mac)m (hines)0 2423 y Fz(PERSON:)i Fy(a)27 b(h)n(uman)h(b)r(eing)208 2556 y Fp(Notes:)284 2689 y Fy(1.)41 b(F)-7 b(or)23 b(the)g(purp)r (oses)f(of)h(this)h(On)n(tology)-7 b(,)22 b(PERSONS)h(are)f(of)h(in)n (terest)f(for)h(their)g(capacit)n(y)f(to)h(pla)n(y)f(v)-5 b(arious)390 2789 y(Actor)27 b(Roles)g(in)h(an)g(en)n(terprise)e(\()p Fp(e.g.)38 b Fy(p)r(erform)28 b(A)n(CTIVITIES\).)284 2905 y(2.)41 b(The)29 b(concepts)g(of)g(sole)f(trader)g(and)h(a)f (registered)g(business)h(are)f(included)h(here.)41 b(F)-7 b(or)28 b(most)h(purp)r(oses,)390 3004 y(the)23 b(la)n(w)f(mak)n(es)f (no)h(distinction)h(b)r(et)n(w)n(een)g(these)f(things)h(and)f(the)h (PERSON)f(o)n(wning/op)r(erating)d(them.)0 3170 y Fz(MA)m(CHINE:)41 b Fy(a)30 b(non-h)n(uman)f(En)n(tit)n(y)h(whic)n(h)h(has)e(the)i (capacit)n(y)f(to)g(carry)f(out)h(functions)h(and/or)e(pla)n(y)g(v)-5 b(arious)208 3270 y(roles)26 b(in)i(an)f(en)n(terprise.)208 3403 y Fp(Notes:)284 3536 y Fy(1.)41 b(a)31 b(MA)n(CHINE)h(is)g (similar)f(to)g(a)h(PERSON)e(in)i(that)g(man)n(y)f(functions)h(and)g (roles)e(ma)n(y)h(b)r(e)i(p)r(erformed)390 3635 y(b)n(y)25 b(either.)36 b(Ho)n(w)n(ev)n(er,)23 b(it)j(is)e(an)n(ticipated)h(that)g (some)f(functions)i(and)e(roles)g(will)h(b)r(e)h(exclusiv)n(e)e(to)g (one)h(or)390 3735 y(the)j(other.)36 b(F)-7 b(or)27 b(example,)h(a)f (MA)n(CHINE)h(ma)n(y)e(not)i(b)r(e)g(held)g(resp)r(onsible)f(for)g(an)n (ything.)0 3901 y Fz(CORPORA)-8 b(TION:)40 b Fy(A)33 b(group)f(of)g(PERSONS)g(recognised)f(in)i(la)n(w)f(as)g(ha)n(ving)g (existence,)h(righ)n(ts,)g(and)g(duties)208 4001 y(distinct)28 b(from)f(those)g(of)h(the)g(individual)g(PERSONS)e(who)i(from)f(time)h (to)g(time)g(comprise)e(the)i(group.)208 4134 y Fp(Notes:)284 4266 y Fy(1.)41 b(Historically)-7 b(,)24 b(in)g(la)n(w,)g(righ)n(ts)f (and)h(duties)g(apply)g(to)g(individual)g(h)n(umans;)h(righ)n(ts)e(and) g(duties)i(of)e(groups)390 4366 y(are)k(inherited)h(from)f(this.)0 4532 y Fz(P)-8 b(AR)g(TNERSHIP:)41 b Fy(A)28 b(group)e(of)i(PERSONS)f (carrying)e(on)j(business)f(in)h(common.)208 4665 y Fp(Notes:)37 b Fy(The)27 b(follo)n(wing)g(is)g(true)h(in)g(English)f(la)n(w,)g(but)h (not)f(necessarily)f(in)i(other)f(legal)g(systems:)284 4798 y(1.)41 b(there)28 b(is)f(a)g(distinction)h(b)r(et)n(w)n(een)g(P) -7 b(AR)g(TNERSHIP)27 b(and)h(CORPORA)-7 b(TION;)284 4914 y(2.)41 b(eac)n(h)29 b(P)-7 b(AR)g(TNER)30 b(ma)n(y)f(ha)n(v)n(e)f (unlimited)j(liabilit)n(y)f(for)f(the)h(debts)g(of)f(the)i(P)-7 b(AR)g(TNERSHIP)29 b(to)h(other)390 5014 y(LEGAL)e(ENTITIES;)284 5130 y(3.)41 b(the)c(P)-7 b(AR)g(TNERSHIP)35 b(do)r(es)h(not)g(ha)n(v)n (e)f(a)g(legal)g(iden)n(tit)n(y)i(separate)d(from)i(its)g(P)-7 b(AR)g(TNERS;)36 b(e.g.)62 b(if)390 5229 y(P)-7 b(AR)g(TNERSHIP)28 b(is)f(sued,)h(this)g(means)f(all)g(P)-7 b(AR)g(TNERS)28 b(are)e(sued.)0 5395 y Fz(P)-8 b(AR)g(TNER:)41 b Fy(a)27 b(PERSON)g(who)g(forms)g(part)g(of)h(a)f(P)-7 b(AR)g(TNERSHIP;)0 5561 y Fz(LEGAL)33 b(ENTITY:)41 b Fy(the)28 b(union)g(of)g(PERSON,)e (CORPORA)-7 b(TION,)27 b(and)g(P)-7 b(AR)g(TNERSHIP)208 5694 y Fp(Notes:)p eop %%Page: 24 26 24 25 bop 0 100 a Fw(KER:)23 b(Revised)h(Completed)h(Draft)447 b Fy(The)28 b(En)n(terprise)e(On)n(tology)1115 b(P)n(age)26 b(24)284 390 y(1.)41 b(F)-7 b(or)26 b(the)g(purp)r(oses)g(of)g(the)g (On)n(tology)-7 b(,)25 b(this)i(is)f(equiv)-5 b(alen)n(t)26 b(to)g(the)g(more)g(commonly)f(used)i(de\014nition)f(of)390 490 y(a)h(LEGAL)h(ENTITY:)f(`that)h(whic)n(h)g(can)f(en)n(ter)g(in)n (to)h(a)f(legal)f(con)n(tract'.)0 797 y Fo(5.2)112 b(The)38 b(Structure)f(of)g(Organisations)0 983 y Fz(OR)m(GANISA)-8 b(TIONAL)33 b(UNIT)f(\(OU\):)42 b Fy(an)32 b(En)n(tit)n(y)g([with)h(a)f (de\014ned)h(iden)n(tit)n(y])f(for)g(MANA)n(GING)i(the)e(p)r(er-)208 1083 y(formance)c(of)h(A)n(CTIVITIES)f(to)h(A)n(CHIEVE)g(one)f(or)g (more)g(PURPOSES.)g(An)i(OU)f(ma)n(y)f(b)r(e)h(c)n(haracterised)208 1183 y(b)n(y:)307 1349 y Fu(\017)41 b Fy(the)28 b(nature)f(of)h(its)g (PURPOSE\(S\);)307 1482 y Fu(\017)41 b Fy(one)27 b(or)g(more)g(PERSONS) g(w)n(orking)f(for)h(the)h(OU;)307 1614 y Fu(\017)41 b Fy(RESOUR)n(CES)27 b(allo)r(cated)g(to)g(the)h(OU;)307 1747 y Fu(\017)41 b Fy(other)27 b(OUs)g(that)h(MANA)n(GE)g(or)f(are)g (MANA)n(GED-BY)h(the)g(OU;)307 1880 y Fu(\017)41 b Fy(its)28 b(ASSETS;)307 2013 y Fu(\017)41 b Fy(its)28 b(ST)-7 b(AKEHOLDERS;)307 2146 y Fu(\017)41 b Fy(b)r(eing)28 b(LEGALL)-7 b(Y)28 b(O)n(WNED;)307 2279 y Fu(\017)41 b Fy(its)28 b(MARKET)f(\(if)i(it)f (is)f(a)g(VENDOR\).)208 2445 y Fp(Notes:)284 2577 y Fy(1.)41 b(The)36 b(term)f(OU)h(is)f(delib)r(erately)h(de\014ned)g(with)g(no)f (constrain)n(t)f(on)i(its)g(size)f(or)g(place)g(within)h(an)f(or-)390 2677 y(ganisation.)57 b(F)-7 b(urthermore,)35 b(no)f(sp)r(ecial)h (terms)f(for)g(OUs)g(of)h(an)n(y)f(particular)f(size)i(are)e(de\014ned) i(\(e.g.)390 2777 y(division,)c(departmen)n(t\).)47 b(This)31 b(is)f(b)r(ecause)h(no)f(consisten)n(t)g(use)h(of)g(suc)n(h)f(terms)g (can)h(b)r(e)g(found)g(across)390 2876 y(di\013eren)n(t)k(en)n (terprises,)h(or)e(ev)n(en)h(within)g(a)g(single)f(en)n(terprise)g(o)n (v)n(er)f(time.)60 b(Therefore)34 b(the)h(existence)390 2976 y(of)29 b(a)g(v)n(ery)f(small)h(and)g(simple)g(unit,)h(ev)n(en)f (corresp)r(onding)e(with)j(a)f(single)f(PERSON,)h(or)f(a)h(v)n(ery)e (large)390 3076 y(and)j(complex)g(structure)g(\(e.g.)45 b(a)30 b(m)n(ulti-national)g(CORPORA)-7 b(TION\))30 b(can)g(equally)f (b)r(e)i(represen)n(ted)390 3175 y(as)38 b(an)f(OU.)h(The)g(structure)g (of)f(an)h(OU)g(is)g(represen)n(ted)f(b)n(y)g(the)i(set)f(of)g(as)f (man)n(y)g(other)h(OUs)f(and)390 3275 y(MANA)n(GEMENT)28 b(LINKS)f(\(see)h(b)r(elo)n(w\))f(as)g(required.)284 3391 y(2.)41 b(The)32 b(term)g(MANA)n(GEMENT)h(LINK)e(leads)h(to)g(the) g(concept)g(of)g(higher-lev)n(el)f(and)h(lo)n(w)n(er-lev)n(el)d(OUs)390 3491 y(dep)r(ending)f(on)f(whic)n(h)h(MANA)n(GE)g(and)f(whic)n(h)h(are) f(MANA)n(GED.)284 3607 y(3.)41 b(The)31 b(terms)f(`en)n(terprise')f (and)h(`organisation')e(are)i(not)g(de\014ned)h(in)f(the)h(On)n(tology) -7 b(,)30 b(but)h(a)f(user)f(of)i(the)390 3707 y(On)n(tology)23 b(ma)n(y)h(wish)h(to)g(de\014ne)g(one)f(or)g(other)g(of)h(them)g(as)f (a)g(high-lev)n(el)g(OU,)h(p)r(erhaps)f(corresp)r(onding)390 3806 y(with)k(highest)g(OU)f(in)h(the)g(scop)r(e)f(of)h(in)n(terest.) 284 3922 y(4.)41 b(An)32 b(individual)f(PERSON)g(ma)n(y)f(corresp)r (ond)g(to,)i(or)e(b)r(elong)h(to,)h(more)f(than)g(one)g(OU,)g(one)g (for)g(eac)n(h)390 4022 y(di\013eren)n(t)d(role)f(or)f(function.)284 4138 y(5.)41 b(An)26 b(essen)n(tial)e(PURPOSE)f(of)i(most)g(OUs)g(is)f (to)h(maximise)g(p)r(erformance)f(against)f(\014nancial)i(and)g(other) 390 4238 y(organisational)g(OBJECTIVES.)0 4404 y Fz(MANA)m(GE:)41 b Fy(the)28 b(A)n(CTIVITY)g(of)f(assigning)g(PURPOSES)f(and)h (monitoring)g(their)g(A)n(CHIEVEMENT)208 4537 y Fp(Notes:)284 4670 y Fy(1.)41 b(This)28 b(includes)f(RESOUR)n(CE)g(ALLOCA)-7 b(TION)27 b(and)h(the)g(p)r(o)n(w)n(er)e(to)i(giv)n(e)e(A)n(UTHORITY;) 284 4786 y(2.)41 b(This)32 b(includes)h(managing)e(of)h(p)r(eople,)i (\()p Fp(e.g.)52 b Fy(skill)32 b(base,)h(career)e(dev)n(elopmen)n(t\),) i(and)f(of)g(OUs.)51 b(This)390 4885 y(is)29 b(re\015ected)g(b)n(y)f (the)i(nature)e(of)h(the)g(PURPOSES)f(that)h(are)f(set)h(and)g (monitored;)f(e.g.)41 b(time)29 b(horizon,)390 4985 y(deliv)n(erables.) 284 5101 y(3.)41 b(This)29 b(giv)n(es)f(rise)h(to)g(an)f(asymmetric)h (Relationship)g(b)r(et)n(w)n(een)g(the)g(managing)f(and)h(managed)f(en) n(tities.)390 5201 y(See)g(MANA)n(GEMENT)g(LINK.)284 5317 y(4.)41 b(Although)29 b(the)f(visible)g(activit)n(y)g(of)g (managemen)n(t)g(in)g(an)g(en)n(terprise)f(ma)n(y)h(tak)n(e)f(place)h (b)r(et)n(w)n(een)g(PER-)390 5417 y(SONS)20 b(\(or)e(p)r(ossibly)h(MA)n (CHINES\),)h(where)e(the)i(PURPOSE)e(assigned)g(and)h(monitored)f (clearly)g(relates)390 5516 y(to)34 b(the)g(activities)f(of)h(the)g (OU,)g(it)g(will)g(frequen)n(tly)f(b)r(e)i(natural)d(to)i(mo)r(del)g (it)g(as)f(b)r(eing)h(b)r(et)n(w)n(een)g(the)390 5616 y(OUs.)p eop %%Page: 25 27 25 26 bop 0 100 a Fw(KER:)23 b(Revised)h(Completed)h(Draft)447 b Fy(The)28 b(En)n(terprise)e(On)n(tology)1115 b(P)n(age)26 b(25)0 390 y Fz(DELEGA)-8 b(TE:)42 b Fy(a)26 b(kind)h(of)f(MANA)n(GING) i(A)n(CTIVITY)f(whereb)n(y)f(there)h(is)f(a)g(transfer)g(of)h (something)f(to)h(a)f(\(nor-)208 490 y(mally)h(lo)n(w)n(er-lev)n(el\))e (Actor.)208 623 y Fp(Notes:)284 756 y Fy(1.)41 b(W)-7 b(e)41 b(do)e(not)h(formally)f(c)n(haracterise)f(DELEGA)-7 b(TION,)39 b(this)h(is)g(left)h(to)f(the)g(users.)73 b(Details)40 b(to)g(b)r(e)390 855 y(considered)27 b(include)h(what)f (ma)n(y)g(b)r(e)h(delegated,)f(\()p Fp(e.g.)39 b Fy(task,)27 b(authorit)n(y)-7 b(,)27 b(resp)r(onsibilit)n(y\).)0 1021 y Fz(MANA)m(GEMENT)k(LINK:)41 b Fy(a)28 b(Relationship)f(whereb)n (y)g(one)g(Actor)g(directly)g(MANA)n(GES)h(another)f(Actor.)208 1154 y Fp(Notes:)284 1287 y Fy(1.)41 b(The)34 b(particular)e (arrangemen)n(t)g(of)h(MANA)n(GEMENT)h(LINKS)f(determines)h(what)f(is)h (commonly)f(re-)390 1386 y(ferred)27 b(to)h(as)f(Organisational)d (Structure,)k(Con)n(trol)e(Structure,)i(or)e(Managemen)n(t)h (Structure.)462 1519 y Fu(\017)41 b Fy(Examples)24 b(of)h(common)f (Organisational)e(Structures)i(are)g(hierarc)n(hical)f(\(e.g.)36 b(line)25 b(managemen)n(t\),)545 1619 y(matrix)j(\(for)f(pro)5 b(ject/programme)24 b(managemen)n(t\))j(and)h(\015at.)462 1735 y Fu(\017)41 b Fy(Co-managemen)n(t)26 b(is)i(a)f(situation)g (where)g(an)h(OU)f(is)h(MANA)n(GED)g(b)n(y)f(more)g(than)h(one)f(OU.) 284 1868 y(2.)41 b(A)28 b(single)f(sequence)g(of)g(Actors)g(directly)g (connected)h(via)e(MANA)n(GEMENT)i(LINKS)f(can)g(b)r(e)h(though)n(t)390 1968 y(of)g(as)f(a)g(managemen)n(t)f(c)n(hain.)37 b(More)27 b(precisely)-7 b(,)26 b(all)i(managemen)n(t)e(c)n(hains)h(ha)n(v)n(e:) 462 2100 y Fu(\017)41 b Fy(Only)28 b(one)f(Actor)g(\(lo)n(w)n(est)g (lev)n(el\))g(that)h(do)r(es)f(not)h(MANA)n(GE)g(another)f(Actor;)462 2217 y Fu(\017)41 b Fy(Only)28 b(one)f(Actor)g(\(highest)h(lev)n(el\))f (that)h(is)g(not)f(MANA)n(GED)h(b)n(y)g(another)e(Actor;)462 2333 y Fu(\017)41 b Fy(No)e(branc)n(hing)f(\()p Fp(i.e.)72 b Fy(no)39 b(Actor)f(MANA)n(GES)h(or)f(is)h(MANA)n(GED)h(b)n(y)e(more)g (than)h(one)g(other)545 2433 y(Actor\).)284 2565 y(3.)i(An)23 b(OU)f(at)g(the)h(lo)n(w)n(er)d(end)i(of)h(a)e(Managemen)n(t)g(Chain)h (ma)n(y)g(corresp)r(ond)e(directly)i(with)h(one)f(PERSON.)390 2665 y(The)k(PURPOSES)f(of)h(suc)n(h)g(a)g(PERSON)f(ma)n(y)g(b)r(e)i(v) n(ery)e(similar)g(to)h(the)h(PURPOSES)e(of)h(the)g(OU)g(and)390 2765 y(therefore)c(the)g(PURPOSES)g(ma)n(y)f(not)i(need)f(to)h(b)r(e)f (separately)f(mo)r(delled.)36 b(Higher)21 b(up)i(a)f(Managemen)n(t)390 2864 y(Chain,)g(the)f(PURPOSES)f(of)g(an)h(OU)f(are)g(lik)n(ely)g(to)h (b)r(e)g(dissimilar)f(to)g(the)h(PURPOSES)f(of)h(a)f(PERSON.)284 2980 y(4.)41 b(By)34 b(virtue)h(of)f(b)r(eing)h(MANA)n(GED)g(b)n(y)f (an)g(OU,)h(an)f(OU)g(ma)n(y)g(informally)g(b)r(e)h(though)n(t)f(of)g (as)g(b)r(eing)390 3080 y(`part)27 b(of)6 b(')28 b(the)g(MANA)n(GING)h (OU.)284 3196 y(5.)41 b(Insofar)26 b(as)f(a)h(MA)n(CHINE)h(can)f(b)r(e) h(view)n(ed)f(as)g(a)g(MANA)n(GED)h(and/or)e(MANA)n(GING)j(En)n(tit)n (y)-7 b(,)26 b(it)h(ma)n(y)390 3296 y(b)r(e)h(considered)f(to)g(b)r(e)h (an)g(OU.)0 3462 y Fz(LEGAL)33 b(O)m(WNERSHIP:)40 b Fy(a)e (Relationship)h(b)r(et)n(w)n(een)g(a)g(LEGAL)f(ENTITY)h(and)g(an)g(En)n (tit)n(y)g(whereb)n(y)f(the)208 3562 y(LEGAL)27 b(ENTITY)h(has)f (certain)g(righ)n(ts)f(with)i(resp)r(ect)g(to)f(the)h(En)n(tit)n(y)-7 b(.)208 3694 y Fp(Notes:)307 3827 y Fu(\017)41 b Fy(the)28 b(En)n(tit)n(y)f(in)h(suc)n(h)f(a)h(Relationship)f(will)h(b)r(e)g(said) f(to)g(b)r(e)h(`LEGALL)-7 b(Y)28 b(O)n(WNED')0 3993 y Fz(NON-LEGAL)k(O)m(WNERSHIP:)40 b Fy(a)29 b(Relationship)h(b)r(et)n(w)n (een)g(an)f(Actor)h(and)f(an)h(En)n(tit)n(y)f(whereb)n(y)g(the)i(Actor) 208 4093 y(is)c(recognised)f(within)i(a)f(LEGAL)h(ENTITY)f(as)g(ha)n (ving)g(certain)g(righ)n(ts)f(with)j(resp)r(ect)e(to)g(the)h(En)n(tit)n (y)-7 b(.)208 4226 y Fp(Examples:)307 4359 y Fu(\017)41 b Fy(the)28 b(Relationship)f(b)r(et)n(w)n(een)h(an)f(OU)h(and)f(the)h (RESOUR)n(CES)f(allo)r(cated)g(to)g(it.)208 4525 y Fp(Notes:)284 4658 y Fy(1.)41 b(In)24 b(the)g(ey)n(es)e(of)i(the)g(la)n(w,)f(O)n (WNERSHIP)g(can)g(only)h(b)r(e)f(v)n(ested)h(in)f(a)g(LEGAL)h(ENTITY.)f (F)-7 b(or)23 b(practical)390 4757 y(purp)r(oses)36 b(within)i(an)f (organisation,)g(righ)n(ts)f(of)h(an)g(Actor)g(with)h(resp)r(ect)e(to)h (an)g(En)n(tit)n(y)g(within)h(the)390 4857 y(organisation)25 b(will)j(b)r(e)g(imp)r(ortan)n(t)f(to)h(mo)r(del.)0 5023 y Fz(O)m(WNERSHIP:)40 b Fy(the)28 b(union)g(of)f(LEGAL)h(O)n(WNERSHIP)f (and)g(NON-LEGAL)g(O)n(WNERSHIP)-7 b(.)208 5156 y Fp(Notes:)284 5289 y Fy(1.)41 b(This)29 b(is)g(equiv)-5 b(alen)n(t)29 b(to:)40 b(a)28 b(Relationship)h(b)r(et)n(w)n(een)g(an)g(Actor)g(and)g (some)f(En)n(tit)n(y)h(whereb)n(y)f(the)i(Actor)390 5388 y(has)d(certain)g(righ)n(ts)g(with)h(resp)r(ect)f(to)h(the)g(En)n(tit)n (y)-7 b(.)284 5504 y(2.)41 b(It)31 b(is)f Fp(rights)i Fy(that)f(are)e(O)n(WNED,)h(not)h(the)g(En)n(tit)n(y)f(itself;)j Fp(e.g.)47 b Fy(one)30 b(who)g(leases)f(a)h(car)g(do)r(es)g(not)h(o)n (wn)390 5604 y(the)d(car,)f(but)h(they)g(ha)n(v)n(e)e(legal)h(righ)n (ts)g(with)h(resp)r(ect)f(to)h(it.)p eop %%Page: 26 28 26 27 bop 0 100 a Fw(KER:)23 b(Revised)h(Completed)h(Draft)447 b Fy(The)28 b(En)n(terprise)e(On)n(tology)1115 b(P)n(age)26 b(26)0 390 y Fz(O)m(WNER:)40 b Fy(the)28 b(Role)f(of)h(the)g(Actor)f (in)h(an)f(O)n(WNERSHIP)g(Relationship)0 556 y Fz(ASSET:)41 b Fy(an)28 b(En)n(tit)n(y)f(LEGALL)-7 b(Y)27 b(O)n(WNED)h(that)g(has)f (MONET)-7 b(AR)g(Y)28 b(V)-9 b(ALUE.)208 689 y Fp(Examples:)307 822 y Fu(\017)41 b Fy(MA)n(CHINE,)28 b(equipmen)n(t,)g(land,)f (building,)h(material,)307 938 y Fu(\017)41 b Fy(idea,)28 b(design,)f(paten)n(t,)g(information.)208 1104 y Fp(Notes:)284 1237 y Fy(1.)41 b(`ha)n(ving)27 b(monetary)f(v)-5 b(alue')28 b(is)f(not)h(the)g(same)f(as)g(`can)g(app)r(ear)g(on)g(a)g(balance)g (sheet')284 1353 y(2.)41 b(capital)26 b(asset,)g(\014xed)g(asset)g(and) g(liquid)h(asset)f(are)f(sp)r(ecialisations)g(of)i(ASSET)f(but)h(are)e (not)i(cen)n(tral)e(to)390 1453 y(our)i(concerns.)36 b(The)27 b(di\013erences)h(b)r(et)n(w)n(een)f(these)h(are)e(determined) i(b)n(y)g(accoun)n(ting)e(standards.)284 1569 y(3.)41 b(An)g(En)n(tit)n(y)f(ma)n(y)f(b)r(e)i(b)r(oth)f(an)g(ASSET)h(and)f(a)f (RESOUR)n(CE)g(but)i(some)f(ASSETS)g(are)f(not)i(RE-)390 1669 y(SOUR)n(CES)27 b(and)h(some)f(RESOUR)n(CES)f(are)h(not)h(ASSETS.) 0 1934 y Fz(ST)-8 b(AKEHOLDER:)41 b Fy(a)28 b(Role)h(of)g(a)g(LEGAL)g (ENTITY)g(or)f(OU)i(in)f(a)g(Relationship)g(with)g(an)g(OU)g(whereb)n (y)f(one)208 2034 y(or)g(more)h(PURPOSES)g(of)h(the)g(OU)f(are)g (included)h(in)g(the)g(scop)r(e)g(of)g(in)n(terest)f(of)h(the)g(LEGAL)f (ENTITY)h(or)208 2134 y(OU.)208 2267 y Fp(Notes:)284 2399 y Fy(1.)41 b(the)19 b(ST)-7 b(AKEHOLDER)18 b(is)g(usually)g(one)g (of:)32 b(O)n(WNER,)18 b(P)-7 b(AR)g(TNER,)18 b(SHAREHOLDER,)h(EMPLO)n (YEE.)0 2565 y Fz(EMPLO)m(YMENT)32 b(CONTRA)m(CT:)41 b Fy(An)31 b(agreemen)n(t)f([Relationship])h(b)r(et)n(w)n(een)g(a)g (LEGAL)f(ENTITY)h(in)h(the)208 2665 y(Role)27 b(of)g(EMPLO)n(YER)f(and) i(a)f(PERSON)g(in)g(the)h(Role)g(of)f(EMPLO)n(YEE.)0 2831 y Fz(SHARE:)40 b Fy(A)33 b(sub)r(division)f(of)g(the)h(righ)n(ts)e (of)i(O)n(WNERSHIP)e(of)i(a)f(CORPORA)-7 b(TION)31 b(recognised)g(b)n (y)h(la)n(w)f(and)208 2931 y(the)d(CORPORA)-7 b(TION.)0 3097 y Fz(SHAREHOLDER:)40 b Fy(A)28 b(LEGAL)f(ENTITY)h(O)n(WNING)g(one) f(or)f(more)h(SHARES)h(in)g(a)f(CORPORA)-7 b(TION.)0 3404 y Fo(5.3)112 b(Related)38 b(T)-9 b(erms)0 3632 y Fz(5.3.1)94 b(Synon)m(yms)42 3818 y Fp(Party)p Fy(:)37 b(LEGAL)27 b(ENTITY)0 4109 y Fz(5.3.2)94 b(Borderline)30 b(T)-8 b(erms)42 4295 y Fp(Comp)l(any)p Fy(:)34 b(roughly)20 b(synon)n(ymous)f(with)j(CORPORA)-7 b(TION;)20 b(the)h(minor)f(legal)g (di\013erences)h(b)r(et)n(w)n(een)g(a)f(Compan)n(y)208 4395 y(and)27 b(CORPORA)-7 b(TION)27 b(are)f(ignored)h(in)h(this)f(On)n (tology)-7 b(.)42 4561 y Fp(R)l(e)l(gister)l(e)l(d)29 b(Business)h(that)g(is)g(not)f(a)h(CORPORA)-6 b(TION)p Fy(:)26 b(encompassed)h(b)n(y)g(PERSON)42 4727 y Fp(Sole)j(T)-6 b(r)l(ader)p Fy(:)38 b(encompassed)26 b(b)n(y)h(PERSON)42 4893 y Fp(Business)p Fy(:)37 b(CORPORA)-7 b(TION,)26 b(or)h(Sole)g(T)-7 b(rader)27 b(or)f(Registered)h(Business)g(that)h(is) f(not)h(a)f(CORPORA)-7 b(TION.)p eop %%Page: 27 29 27 28 bop 0 100 a Fw(KER:)23 b(Revised)h(Completed)h(Draft)447 b Fy(The)28 b(En)n(terprise)e(On)n(tology)1115 b(P)n(age)26 b(27)0 390 y Fr(6)135 b(Strategy)0 647 y Fy(The)40 b(cen)n(tral)g (concept)g(in)h(this)g(section)f(is)g(PURPOSE)f(whic)n(h)h(is)h(either) f(something)g(that)h(an)f(Actor)g(has,)j(or)0 746 y(is)d(the)g(main)g (reason)e(for)i(executing)f(a)h(PLAN.)g(PURPOSES)e(ma)n(y)h(b)r(e)i (decomp)r(osed)e(in)n(to)h(higher)f(and)h(lo)n(w)n(er)0 846 y(lev)n(el)31 b(PURPOSES)f(via)h(the)h(HELP)e(A)n(CHIEVE)h (relationship.)48 b(Sp)r(ecial)31 b(kinds)h(of)f(PURPOSE)f(are:)44 b(MISSION,)0 946 y(VISION,)29 b(GO)n(AL,)f(OBJECTIVE)f(and)h(STRA)-7 b(TEGIC)29 b(PURPOSE.)f(A)g(STRA)-7 b(TEGY)30 b(is)e(a)g(PLAN)h(to)f (ac)n(hiev)n(e)f(a)0 1045 y(STRA)-7 b(TEGIC)28 b(PURPOSE.)0 1220 y(Other)d(imp)r(ortan)n(t)h(concepts)f(in)n(tro)r(duced)g(include) i(STRA)-7 b(TEGIC)25 b(PLANNING,)i(STRA)-7 b(TEGIC)26 b(A)n(CTION,)f(DE-)0 1319 y(CISION,)h(ASSUMPTION,)f(\(CRITICAL\))i (INFLUENCE)e(F)-9 b(A)n(CTOR,)26 b(CRITICAL)f(SUCCESS)h(F)-9 b(A)n(CTOR)25 b(and)0 1419 y(RISK.)0 1721 y Fo(6.1)112 b(Purp)s(ose)38 b(and)g(Strategy)0 1902 y Fz(PURPOSE:)j Fy(a)27 b(Role)h(of)f(a)g(State)h(Of)g(A\013airs)f(in)h(one)f(of)h(the) f(follo)n(wing)g(Relationships:)307 2056 y Fu(\017)41 b Fz(HOLD)35 b(PURPOSE)p Fy(:)29 b(a)h(Relationship)f(b)r(et)n(w)n(een) h(an)f(Actor)g(and)h(a)f(State)h(Of)g(A\013airs)f(whereb)n(y)g(the)390 2156 y(Actor)i(w)n(an)n(ts,)g(in)n(tends,)g(or)f(is)h(resp)r(onsible)f (for)h(the)g(full)g(or)f(partial)h(A)n(CHIEVEMENT)f(of)h(the)g(State) 390 2256 y(Of)d(A\013airs;)390 2366 y Fp(Notes:)456 2476 y Fz({)41 b Fy(The)28 b(Actor)f(will)h(usually)f(b)r(e)h(a)f(PERSON)g (or)g(OU,)g(ho)n(w)n(ev)n(er)f(MA)n(CHINE)i(is)f(not)h(excluded.)390 2598 y Fp(Example:)456 2708 y Fz({)41 b Fy(Some)28 b(PERSON)f(w)n(an)n (ts)f(to)i(b)r(e)g(in)g(Edin)n(burgh)e(on)i(some)f(date;)307 2830 y Fu(\017)41 b Fz(INTENDED)34 b(PURPOSE)p Fy(:)29 b(a)f(Relationship)h(b)r(et)n(w)n(een)g(an)g(A)n(CTIVITY)g(SPECIFICA)-7 b(TION)28 b(and)390 2929 y(a)f(State)h(Of)g(A\013airs)f(whereb)n(y:)456 3040 y Fz({)41 b Fy(EXECUTION)18 b(of)g(the)h(A)n(CTIVITY)g(SPECIFICA) -7 b(TION)18 b(will)g(result)g(in)h(fully)g(or)e(partially)h(A)n (CHIEV-)545 3139 y(ING)29 b(the)f(State)f(Of)h(A\013airs;)545 3239 y Fp(and)456 3339 y Fz({)41 b Fy(The)27 b(State)h(Of)f(A\013airs)f (en)n(tails)h(one)f(or)g(more)h(of)g(the)g(EFFECTS)f(of)h(the)h(A)n (CTIVITY)f(SPECIFI-)545 3438 y(CA)-7 b(TION)25 b(whose)e(A)n (CHIEVEMENT)h(is)g(declared)f(to)h(b)r(e)h(the)f(primary)f(reason\(s\)) g(for)h(EXECUT-)545 3538 y(ING)29 b(the)f(A)n(CTIVITY)g(SPECIFICA)-7 b(TION.)390 3659 y Fp(Notes:)439 3770 y Fy(1.)41 b(An)d(A)n(CTIVITY)f (SPECIFICA)-7 b(TION)36 b(with)h(an)f(INTENDED)h(PURPOSE)e(is)i Fp(by)h(de\014nition)f Fy(a)545 3869 y(PLAN.)390 3991 y Fp(Example:)456 4101 y Fz({)k Fy(The)28 b(PURPOSE)e(of)i(a)f(PLAN)h (is)f(to)h(b)r(e)g(in)g(some)f(particular)f(lo)r(cation)h(on)g(some)g (date.)208 4250 y Fp(Notes:)284 4377 y Fy(1.)41 b(a)26 b(PURPOSE)f(ma)n(y)g(b)r(e)h(e\013ectiv)n(ely)g(decomp)r(osed)g(in)n (to)g(more)f(detailed)h(PURPOSES)f(via)g(the)i(HELPS)390 4477 y(A)n(CHIEVE)g(Relationship.)284 4587 y(2.)41 b(A)23 b(Resp)r(onsibilit)n(y)g(ma)n(y)f(b)r(e)h(view)n(ed)f(as)g(a)g(sp)r (ecial)h(kind)g(of)f(PURPOSE.)g(Being)g(resp)r(onsible)g(for)g(implies) 390 4687 y(the)g(PURPOSE)f(is)h(DELEGA)-7 b(TED)21 b(b)n(y)h(another)f (Actor.)34 b(This)22 b(con)n(trasts)e(with)i(the)h(more)e(general)f (case)390 4786 y(where)27 b(an)h(Actor)f(w)n(an)n(ts)f(or)h(in)n(tends) h(a)f(PURPOSE)f(of)i(their)f(o)n(wn)g(v)n(olition.)284 4897 y(3.)41 b(A)28 b Fh(PURPOSE)e Fy(is)i(c)n(haracterised)d(b)n(y)j (one)f(or)f(more)h(of)h(the)g(follo)n(wing:)462 5007 y Fu(\017)41 b Fp(Me)l(asur)l(ability)p Fy(:)36 b(exten)n(t)22 b(to)f(whic)n(h)g(it)h(is)g(p)r(ossible)f(to)g(ob)5 b(jectiv)n(ely)21 b(determine)g(whether)h(A)n(CHIEVE-)545 5107 y(MENT)28 b(has)f(o)r(ccurred)462 5207 y Fu(\017)41 b Fp(Time)31 b(Horizon)d(e.g.)39 b Fy(short,)27 b(medium,)h(or)f(long)f(term)462 5306 y Fu(\017)41 b Fp(Sp)l(e)l(ci\014city)p Fy(:)36 b(ho)n(w)24 b(detailed)g(the)h(PURPOSE)d(is;)k(related)d(to)h (measurabilit)n(y)f(in)i(that)f(v)n(ery)f(detailed)545 5406 y(PURPOSES)k(will)h(tend)g(to)f(b)r(e)h(measurable.)462 5505 y Fu(\017)41 b Fp(R)l(elative)31 b(Priority)p Fy(:)38 b(degree)27 b(of)g(desirabilit)n(y)g(with)h(resp)r(ect)f(to)h(some)f (Actor)0 5654 y Fz(PURPOSE-HOLDER:)40 b Fy(the)28 b(Role)g(of)f(the)h (Actor)f(in)h(the)g(HOLD)g(PURPOSE)e(Relationship.)p eop %%Page: 28 30 28 29 bop 0 100 a Fw(KER:)23 b(Revised)h(Completed)h(Draft)447 b Fy(The)28 b(En)n(terprise)e(On)n(tology)1115 b(P)n(age)26 b(28)0 390 y Fo(Kinds)38 b(of)g(Purp)s(oses)0 618 y Fy(W)-7 b(e)27 b(in)n(tro)r(duce)g(v)-5 b(arious)26 b(di\013eren)n(t)h(kinds)g (or)f(lev)n(els)g(of)h Fh(PURPOSE)p Fy(:)f(STRA)-7 b(TEGIC)27 b(PURPOSE,)f(OBJECTIVE,)0 718 y(GO)n(AL,)e(MISSION)g(and)f(VISION.)i(W) -7 b(e)24 b(de\014ne)g(the)g(\014rst)g(t)n(w)n(o)f(only)-7 b(,)25 b(b)r(ecause)e(the)h(rest)g(are)f(used)g(in)i(man)n(y)e (di\013eren)n(t)0 817 y(w)n(a)n(ys.)35 b(It)28 b(is)g(up)g(to)f(the)h (On)n(tology)e(user)h(to)g(sp)r(ecify)h(what)g(these)f(ma)n(y)g(mean)h (in)g(a)f(giv)n(en)g(situation.)0 1075 y Fz(STRA)-8 b(TEGIC)32 b(PURPOSE:)42 b Fy(A)34 b(PURPOSE)e(held)i(b)n(y)g(an)f(A)n(CTOR)h (that)g(is)f(declared)g(to)h(b)r(e)g(of)g('Strategic')208 1174 y(imp)r(ortance.)208 1307 y Fp(Notes:)284 1440 y Fy(1.)41 b(Suc)n(h)31 b(a)f(declaration)f(is)h(arbitrary;)g(there)g(is) h(no)f(w)n(a)n(y)f(to)h(otherwise)g(infer)g(whether)h(PURPOSE)e(is)h (of)390 1540 y(strategic)d(imp)r(ortance)g(or)f(not.)284 1656 y(2.)41 b(F)-7 b(requen)n(tly)g(,)27 b(a)g(STRA)-7 b(TEGIC)27 b(PURPOSE)f(will)i(b)r(e)f(fairly)g(`high-lev)n(el')f(with)i (resp)r(ect)f(to)g(the)h(HELPS)390 1756 y(A)n(CHIEVE)f(Relationship)h (\()p Fp(e.g.)38 b Fy(it)28 b(ma)n(y)f(corresp)r(ond)f(to)h(a)h (MISSION\))0 1922 y Fz(OBJECTIVE:)41 b Fy(a)27 b(PURPOSE)g(with)h(a)f (de\014ned)h(measure.)208 2054 y Fp(Notes:)284 2187 y Fy(1.)41 b(The)28 b(idea)f(is)h(that)f(it)i(is)e(p)r(ossible)g(to)h (detect)g(the)g(A)n(CHIEVEMENT)f(of)g(an)h(OBJECTIVE.)0 2353 y Fz(VISION,)j(MISSION,)g(and)i(GO)m(AL:)41 b Fy(kinds)28 b(of)g(PURPOSES)208 2486 y Fp(Notes:)284 2619 y Fy(1.)41 b(They)28 b(ma)n(y)f(or)f(ma)n(y)h(not)h(b)r(e)g(OBJECTIVES.)284 2735 y(2.)41 b(Belo)n(w)27 b(w)n(e)g(indicate)h(some)f(w)n(a)n(ys)f (that)i(these)f(terms)h(ma)n(y)e(b)r(e)i(sp)r(ecialised:)462 2851 y Fu(\017)41 b Fy(Insofar)31 b(as)f(the)i(HELPS)f(A)n(CHIEVE)g (Relationship)g(orders)f(PURPOSES,)g(the)i(order)e(will)i(tend)545 2951 y(to)c(b)r(e)g(\(from)f(lo)n(w)n(est-lev)n(el\):)36 b(OBJECTIVE,)26 b(GO)n(AL,)h(MISSION,)h(VISION.)462 3051 y Fu(\017)41 b Fy(With)33 b(resp)r(ect)e(to)g(measurabilit)n(y)-7 b(,)31 b(the)h(order)e(will)i(tend)g(to)f(b)r(e)h(\(from)f(most)g (measurable\):)44 b(OB-)545 3150 y(JECTIVE,)27 b(GO)n(AL,)g(MISSION,)h (VISION.)462 3250 y Fu(\017)41 b Fy(With)20 b(resp)r(ect)f(to)g(to)f (time)i(horizon,)f(the)g(the)h(order)d(will)i(tend)h(to)e(b)r(e)i (\(from)e(shortest)h(time)g(horizon\):)545 3350 y(OBJECTIVE,)26 b(GO)n(AL,)i(MISSION,)g(VISION.)0 3516 y Fz(HELP)k(A)m(CHIEVE:)41 b Fy(a)30 b(Relationship)g(b)r(et)n(w)n(een)g(t)n(w)n(o)f(States)h(Of)h (A\013airs)e(whereb)n(y)h(one)f(State)i(Of)f(A\013airs)g(con-)208 3615 y(tributes)d(to)h(or)e(facilitates)i(the)g(A)n(CHIEVEMENT)f(of)g (the)h(other)f(State)h(Of)g(A\013airs.)208 3748 y Fp(Notes:)284 3881 y Fy(1.)41 b(The)27 b(HELP)f(A)n(CHIEVE)h(Relationship)f(is)h (particularly)f(imp)r(ortan)n(t)g(when)h(the)h(States)f(Of)g(A\013airs) f(are)390 3981 y(PURPOSES.)k(In)g(this)h(case,)g(the)g(HELP)f(A)n (CHIEVE)g(Relationship)g(ma)n(y)g(de\014ne)h(a)f(directed)h(acyclic)390 4080 y(net)n(w)n(ork)26 b(of)i(PURPOSES)e(whic)n(h)i(giv)n(es)e(rise)h (to)h(a)f(notion)g(of)h(higher-)e(and)i(lo)n(w)n(er-lev)n(el)d (PURPOSES.)284 4196 y(2.)41 b(Users)31 b(of)h(the)g(On)n(tology)d(ma)n (y)i(wish)h(to)f(constrain)f(the)i(meaning)f(of)h(HELPS)f(A)n(CHIEVE)g (more)g(pre-)390 4296 y(cisely)-7 b(,)30 b(or)f(ev)n(en)g(de\014ne)h (more)f(than)h(one)f(\015a)n(v)n(our.)41 b(It)30 b(is)g(delib)r(erate)f (that)h(the)g(On)n(tology)e(p)r(ermits)i(this)390 4396 y(while)e(pro)n(viding)e(a)h(basic)g(structure)g(that)h(can)g(b)r(e)g (shared.)0 4562 y Fz(STRA)-8 b(TEGY:)42 b Fy(a)27 b(PLAN)g(to)h(A)n (CHIEVE)f(a)g(STRA)-7 b(TEGIC)28 b(PURPOSE)0 4728 y Fz(STRA)-8 b(TEGIC)32 b(PLANNING:)42 b Fy(a)27 b([PLANNING])i(A)n(CTIVITY)f(whose) g(INTENDED)g(PURPOSE)f(is)g(to)h(pro-)208 4827 y(duce)f(a)g(STRA)-7 b(TEGY)0 4993 y Fz(STRA)f(TEGIC)32 b(A)m(CTION:)42 b Fy(a)27 b(SUB-PLAN)h(of)f(a)g(STRA)-7 b(TEGY)208 5126 y Fp(Notes:)284 5259 y Fy(1.)41 b(Strictly)27 b(sp)r(eaking,)f(this)h (is)g(a)f(mis-nomer)g(in)h(that)g(it)g(is)g(not)g(an)f(A)n(CTIVITY,)h (but)h(a)e(PLAN.)h(It)g(is)f(left)390 5359 y(as)h(suc)n(h)g(to)h (conform)f(with)h(common)f(usage.)p eop %%Page: 29 31 29 30 bop 0 100 a Fw(KER:)23 b(Revised)h(Completed)h(Draft)447 b Fy(The)28 b(En)n(terprise)e(On)n(tology)1115 b(P)n(age)26 b(29)0 390 y Fo(6.2)112 b(Decisions,)39 b(F)-9 b(actors,)37 b(Assumptions)0 577 y Fz(DECISION:)k Fy(commitmen)n(t)28 b(b)n(y)f(an)g Fh(A)n(ctor)g Fy(to)h(p)r(erform)f(an)g Fh(A)n(CTIVITY)p Fy(.)208 709 y Fp(Notes:)284 842 y Fy(1.)41 b(this)32 b(is)f(roughly)g(equiv)-5 b(alen)n(t)31 b(to)g(the)h (traditional)f(de\014nition:)45 b(`commitmen)n(t)32 b(to)g(a)f(course)f (of)h(action'.)390 942 y(The)20 b(notion)f(of)g(commitmen)n(t)g(app)r (ears)f(synon)n(ymous)g(with)i(`in)n(ten)n(tion')f(as)g(distinct)h (from)f(`w)n(an)n(t/desire')0 1108 y Fz(ASSUMPTION:)42 b Fy(a)21 b(Role)h(of)g(a)g(State)g(Of)g(A\013airs)g(in)g(a)g (Relationship)g(with)g(an)g(Actor)g(whereb)n(y)f(the)h(Actor)g(tak)n (es)208 1208 y(the)28 b(State)f(Of)h(A\013airs)f(to)h(b)r(e)g(true)f (without)h(kno)n(wing)f(whether)g(it)h(is)g(true)f(or)g(not.)208 1340 y Fp(Notes:)284 1473 y Fy(1.)41 b(An)28 b(ASSUMPTION)g(ma)n(y)f (or)g(ma)n(y)g(not)g(b)r(e)h(critical)284 1590 y(2.)41 b(ASSUMPTIONS)24 b(are)e(t)n(ypically)h(used)h(during)f(PLANNING)h(and) f(ma)n(y)g(b)r(e)h(asso)r(ciated)e(with)i(PLANS.)0 1756 y Fz(CRITICAL)33 b(ASSUMPTION:)41 b Fy(an)35 b(ASSUMPTION)f(that)h(is)g (asso)r(ciated)e(with)i(or)f(used)g(in)h(STRA)-7 b(TEGIC)208 1855 y(PLANNING.)0 2021 y Fz(NON-CRITICAL)32 b(ASSUMPTION:)41 b Fy(an)19 b(ASSUMPTION)f(that)h(is)f(not)g(asso)r(ciated)f(with)i(or)f (used)g(in)h(STRA)-7 b(TE-)208 2121 y(GIC)27 b(PLANNING.)0 2287 y Fz(INFLUENCE)32 b(F)-11 b(A)m(CTOR:)42 b Fy(a)29 b(State)h(Of)g(A\013airs)f(kno)n(wn)g(to)h(b)r(e)g(true)g(whic)n(h)g (is)g(within)g(the)g(scop)r(e)g(of)f(in)n(terest)208 2387 y(of)e(an)g(Actor.)208 2519 y Fp(Example:)307 2652 y Fu(\017)41 b Fy(curren)n(t)27 b(rate)g(of)g(in\015ation)0 2818 y Fz(CRITICAL)33 b(INFLUENCE)f(F)-11 b(A)m(CTOR:)41 b Fy(an)31 b(INFLUENCE)g(F)-9 b(A)n(CTOR)31 b(that)h(is)f(asso)r (ciated)f(with)i(or)e(used)208 2918 y(in)d(STRA)-7 b(TEGIC)28 b(PLANNING.)0 3084 y Fz(NON-CRITICAL)k(INFLUENCE)g(F)-11 b(A)m(CTOR:)41 b Fy(an)18 b(INFLUENCE)h(F)-9 b(A)n(CTOR)18 b(that)g(is)h Fp(not)f Fy(asso)r(ciated)f(with)208 3184 y(or)26 b(used)i(in)g(STRA)-7 b(TEGIC)27 b(PLANNING.)0 3350 y Fz(CRITICAL)33 b(SUCCESS)f(F)-11 b(A)m(CTOR)32 b(\(CSF\):)42 b Fy(A)26 b(PURPOSE)f(declared)h(b)n(y)f(an)h(Actor)g(to) g(b)r(e)h(critical)f(to)g(the)208 3449 y(success)g(of)i(one)f(or)g (more)g(higher-lev)n(el)f Fh(PURPOSES)p Fy(.)208 3582 y Fp(Notes:)284 3748 y Fy(1.)41 b(the)e(practical)e(signi\014cance)g (of)h(this)g(is)g(that)g(CSFs)g(pro)n(vide)f(the)h(cen)n(tral)f(fo)r (cus)h(for)g(STRA)-7 b(TEGIC)390 3848 y(PLANNING.)284 3981 y(2.)41 b(it)32 b(is)g(imp)r(ortan)n(t)f(to)g(note)h(that)g(the)g (declaration)e(is)h(arbitrary)f(in)i(the)g(sense)f(that)g(there)h(is)f (no)h(set)f(of)390 4080 y(A)n(ttributes)d(that)g(can)f(ob)5 b(jectiv)n(ely)27 b(determine)h(whether)f(a)g Fh(PURPOSE)g Fy(is)g(a)g Fh(CSF)h Fy(or)f(not.)0 4246 y Fz(RISK:)41 b Fy(the)30 b(Role)f(of)h(a)f(State)h(Of)g(A\013airs)g(in)g(a)f (Relationship)g(with)i(an)e(Actor)h(whereb)n(y)e(the)j(Actor)e(regards) f(the)208 4346 y(State)f(Of)h(A\013airs)f(as)g(a)g(p)r(oten)n(tial)h (hindrance)f(to)g(the)h(A)n(CHIEVEMENT)f(of)h(one)f(or)g(more)g (PURPOSES.)0 4653 y Fo(6.3)112 b(Related)38 b(T)-9 b(erms)0 4881 y Fz(6.3.1)94 b(Synon)m(yms)42 5067 y Fp(Thr)l(e)l(at)p Fy(:)37 b(RISK)42 5233 y Fp(Pr)l(o)l(gr)l(amme)p Fy(:)g(STRA)-7 b(TEGY)42 5399 y Fp(T)h(ar)l(get)p Fy(:)37 b(PURPOSE,)26 b(GO)n(AL)42 5566 y Fp(Me)l(asur)l(able)k(T)-6 b(ar)l(get)p Fy(:)37 b(OBJECTIVE)p eop %%Page: 30 32 30 31 bop 0 100 a Fw(KER:)23 b(Revised)h(Completed)h(Draft)447 b Fy(The)28 b(En)n(terprise)e(On)n(tology)1115 b(P)n(age)26 b(30)0 390 y Fz(6.3.2)94 b(Borderline)30 b(T)-8 b(erms)42 570 y Fp(Contingency)30 b(Plan)p Fy(:)38 b(a)27 b(PLAN)g(whic)n(h)h(is) f(used)h(when)g(a)f(sp)r(eci\014ed)h(State)g(Of)f(A\013airs)g(o)r (ccurs.)208 697 y Fp(Notes:)284 824 y Fy(1.)41 b(usually)27 b(asso)r(ciated)g(with)h(a)f(RISK)0 1168 y Fr(7)135 b(Mark)l(eting)0 1424 y Fy(The)22 b(cen)n(tral)f(concept)g(in)h(this)g(section)g(is)g (the)g(SALE)f(relationship,)h(whic)n(h)g(is)g(an)f(agreemen)n(t)g(b)r (et)n(w)n(een)g(a)h(VENDOR)0 1524 y(and)33 b(CUSTOMER)f(to)h(exc)n (hange)e(a)h(PR)n(ODUCT)g(for)h(a)f(SALE)h(PRICE.)f(The)g(MARKET)h(is)f (de\014ned)h(in)g(terms)0 1624 y(of)i(all)f(SALES)h(and)f(POTENTIAL)g (SALES,)g(and)h(ma)n(y)f(b)r(e)h(sub)r(divided)g(in)n(to)g(MARKET)f (SEGMENTS)g(using)0 1723 y(SEGMENT)-7 b(A)g(TION)27 b(V)-9 b(ARIABLES.)0 1898 y(Other)22 b(imp)r(ortan)n(t)g(concepts)g(related)g (to)g(a)g(MARKET)g(include:)35 b(BRAND,)23 b(IMA)n(GE,)g(PR)n(OMOTION)d (and)j(COM-)0 1997 y(PETITOR.)0 2299 y Fo(7.1)112 b(Sales)0 2479 y Fz(SALE:)41 b Fy(an)26 b(agreemen)n(t)e([Relationship])i(b)r(et) n(w)n(een)g(t)n(w)n(o)f(LEGAL)h(ENTITIES)f(to)h(exc)n(hange)e(one)i(go) r(o)r(d,)f(service)g(or)208 2579 y(quan)n(tit)n(y)i(of)g(money)g(for)g (another)g(go)r(o)r(d,)g(service)g(or)f(quan)n(tit)n(y)h(of)h(money)-7 b(.)208 2705 y Fp(Notes:)284 2832 y Fy(1.)41 b(The)28 b(exc)n(hange)e(in)i(a)f(SALE)h(en)n(tails)f(transfer)f(of)i(O)n (WNERSHIP)284 2942 y(2.)41 b(A)28 b(SALE)g(ma)n(y)e(ha)n(v)n(e)h(as)g (asso)r(ciated)f(TIME-POINT)g(indicating)i(when)f(the)h(agreemen)n(t)f (w)n(as)f(made.)284 3052 y(3.)41 b(A)28 b(SALE)g(ma)n(y)e(b)r(e)i(c)n (haracterised)e(b)n(y)h(a)g(n)n(um)n(b)r(er)h(of)f(things,)h (including:)37 b(sales)27 b(t)n(yp)r(e,)g(v)n(olume,)g(v)-5 b(alue)0 3206 y Fz(POTENTIAL)33 b(SALE:)41 b Fy(a)27 b(p)r(ossible)h(future)g(SALE.)0 3360 y Fz(F)m(OR)k(SALE:)41 b Fy(a)23 b(situation)g(whereb)n(y)g(one)g Fh(LEGAL)j(ENTITY)c Fy(o\013ers)h(to)h(en)n(ter)f(in)n(to)g(a)g(SALE.)h(Asso)r(ciated)f (with)208 3459 y(ev)n(ery)j(suc)n(h)h(situation)h(is)f(a)g(PR)n(ODUCT)g (\(b)r(eing)h(o\013ered)f(F)n(OR)h(SALE\))f(and)h(an)f(ASKING)h(PRICE.) 208 3586 y Fp(Notes:)284 3712 y Fy(1.)41 b(The)29 b(de\014nition)f(for) g(F)n(OR)g(SALE)g(en)n(tails)g(a)g(necessary)f(distinction)i(b)r(et)n (w)n(een)f(the)h(seller)e(\(VENDOR\))390 3812 y(and)h(the)g(buy)n(er)e (\(POTENTIAL)h(CUSTOMER\),)h(in)g(that)g(only)f(the)h(former)f(is)g (o\013ering)g(something.)284 3922 y(2.)41 b(It)26 b(is)g(correct)f(to)h (sa)n(y)e(that)j(the)f(PR)n(ODUCT)f(\(the)i(item)f(b)r(eing)g (o\013ered)g(for)f(exc)n(hange\))g(is)h(F)n(OR)f(SALE;)284 4032 y(3.)41 b(Informally)-7 b(,)29 b(w)n(e)f(ma)n(y)h(refer)f(to)g (the)i(F)n(OR)e(SALE)h(situation)g(as)f(a)h(Relationship)f(b)r(et)n(w)n (een)h(the)g(v)-5 b(arious)390 4132 y(parties)27 b(and)g(things)h(exc)n (hanged.)0 4286 y Fz(SALE)k(OFFER:)40 b Fy(A)e(F)n(OR)g(SALE)f (situation)g(where)g(a)g(particular)g(LEGAL)g(ENTITY)h(is)f(b)r(eing)h (o\013ered)f(the)208 4385 y(PR)n(ODUCT.)0 4670 y Fz(7.1.1)94 b(Roles)30 b(in)h(Sales)g(Relationships)0 4898 y Fy(The)18 b(notions)g(of)h(customer,)g(v)n(endor,)g(pro)r(duct)g(and)f(price)g (are)f(usually)h(asso)r(ciated)g(with)g(sales.)33 b(They)19 b(are)e(essen)n(tially)0 4998 y(roles)28 b(that)h(distinguish)f(b)r(et) n(w)n(een)h(the)g(en)n(tities)g(exc)n(hanged)e(and)i(the)g(LEGAL)f (ENTITIES)g(in)n(v)n(olv)n(ed.)39 b(W)-7 b(e)29 b(re\015ect)0 5098 y(this)34 b(in)g(the)h(On)n(tology)d(b)n(y)h(formally)g (de\014ning)h(A)n(CTUAL)g(CUSTOMER,)g(VENDOR,)g(PR)n(ODUCT,)g(ASKING)0 5197 y(PRICE,)27 b(and)g(SALE)h(PRICE)e(as)h(Roles)g(in)h(the)g(SALE)g (and)f(F)n(OR)g(SALE)h(Relationships.)0 5372 y(The)20 b(On)n(tology)e(caters)i(for)f(exceptional)h(cases,)g(where)g(b)r(oth)g (things)g(are)g(go)r(o)r(ds)f(\(barter\))g(or)h(b)r(oth)g(money)g (\(currency)0 5471 y(exc)n(hange\).)40 b(Ho)n(w)n(ev)n(er,)27 b(in)j(these)f(cases)f(the)h(SALES)g(Relationship)g(is)g(symmetric)f (and)h(there)g(is)g(no)g(ob)n(vious)e(w)n(a)n(y)0 5571 y(to)f(distinguish)g(b)r(et)n(w)n(een)f(the)i(Roles.)35 b(Because)25 b(of)h(this,)g(sp)r(ecial)g(care)f(ma)n(y)g(b)r(e)h (required)f(in)h(de\014ning)g(suc)n(h)f(SALES)0 5670 y(Relationships.)p eop %%Page: 31 33 31 32 bop 0 100 a Fw(KER:)23 b(Revised)h(Completed)h(Draft)447 b Fy(The)28 b(En)n(terprise)e(On)n(tology)1115 b(P)n(age)26 b(31)0 390 y Fz(VENDOR:)40 b Fy(the)28 b(Role)f(of)h(the)g Fh(LEGAL)i(ENTITY)c Fy(who)307 553 y Fu(\017)41 b Fy(o\013ers)27 b(a)g(PR)n(ODUCT,)g(F)n(OR)h(SALE)f(for)g(an)g(ASKING)i(PRICE)d({or{) 307 682 y Fu(\017)41 b Fy(agrees)26 b(to)h(exc)n(hange)g(a)g(PR)n (ODUCT)g(for)g(a)g(SALE)h(PRICE)e(in)i(a)f(SALE.)208 845 y Fp(Notes:)284 976 y Fy(1.)41 b(F)-7 b(rom)27 b(the)h(VENDOR's)g (p)r(ersp)r(ectiv)n(e,)f(the)h(exc)n(hange)e(is)i(referred)e(to)i(as)f (`selling'.)0 1139 y Fz(A)m(CTUAL)34 b(CUSTOMER:)40 b Fy(the)29 b(Role)e(of)h(the)g Fh(LEGAL)i(ENTITY)d Fy(agreeing)f(to)i (exc)n(hange)f(a)g(SALE)h(PRICE)208 1239 y(for)f(a)g(PR)n(ODUCT)g(in)h (a)f(SALE.)208 1370 y Fp(Notes:)284 1501 y Fy(1.)41 b(F)-7 b(rom)27 b(the)h(A)n(CTUAL)g(CUSTOMER's)f(p)r(ersp)r(ectiv)n(e,)h(the)g (exc)n(hange)e(is)h(referred)g(to)g(as)g(`buying'.)0 1664 y Fz(POTENTIAL)33 b(CUSTOMER:)40 b Fy(an)n(y)21 b Fh(LEGAL)j(ENTITY)d Fy(who)g(ma)n(y)g(b)r(ecome)h(an)f(A)n(CTUAL)h (CUSTOMER.)208 1795 y Fp(Notes:)284 1926 y Fy(1.)41 b(This)c (de\014nition)f(includes)h(b)r(oth)g(LEGAL)f(ENTITIES)f(to)i(whom)f(PR) n(ODUCTS)g Fp(ar)l(e)h Fy(o\013ered)e(F)n(OR)390 2026 y(SALE,)g(and)f(LEGAL)g(ENTITIES)g(who)h(migh)n(t)f(purc)n(hase)f (something)i(whic)n(h)f(is)h(not)f(but)h(could)g(b)r(e)390 2125 y(F)n(OR)27 b(SALE.)284 2240 y(2.)41 b(Since)35 b Fp(any)h Fy(LEGAL)f(ENTITY)g(can)g(p)r(oten)n(tially)g(participate)f (in)h(a)g(SALE,)g(the)g(set)g(of)h(all)e(LEGAL)390 2340 y(ENTITIES)g(seems)g(iden)n(tical)g(to)g(the)g(set)h(of)f(all)g (POTENTIAL)f(CUSTOMERS.)h(Th)n(us,)i(this)e(term)390 2439 y(ma)n(y)27 b(b)r(e)h(redundan)n(t)f(and)h(unnecessary)-7 b(.)284 2554 y(3.)41 b(V)-7 b(arious)30 b(conditions)h(are)g(p)r (ossible)g(an)n(y)f(of)i(whic)n(h,)g(singly)f(or)f(in)i(com)n (bination,)f(ma)n(y)g(or)g(ma)n(y)f(not)i(b)r(e)390 2653 y(true)c(in)g(a)f(particular)f(case:)462 2783 y Fu(\017)41 b Fy(the)20 b(actual)f(o\013er)g(of)h(a)f(PR)n(ODUCT)g(to)g(the)h (LEGAL)f(ENTITY)g([i.e.)35 b(a)19 b(F)n(OR)g(SALE)g(Relationship];)462 2883 y Fu(\017)41 b Fy(the)28 b(abilit)n(y)g(of)f(POTENTIAL)g (CUSTOMERS)g(to)h(a\013ord)e(the)i(ASKING)h(PRICE;)462 2982 y Fu(\017)41 b Fy(the)28 b(LEGAL)g(ENTITY)f(ha)n(ving)g(a)g(NEED;) 462 3082 y Fu(\017)41 b Fy(the)28 b(existence)g(of)f(a)g(PR)n(ODUCT)h (ha)n(ving)e(a)h(FEA)-7 b(TURE)28 b(capable)f(of)g(satisfying)g(a)g (NEED;)462 3181 y Fu(\017)41 b Fy(the)28 b(existence)g(of)f(a)g(mark)n (eting)g(PR)n(OMOTION)f(aimed)h(at)h(POTENTIAL)e(CUSTOMERS.)0 3342 y Fz(CUSTOMER:)41 b Fy(The)27 b(union)h(of)f(POTENTIAL)g(CUSTOMER) g(and)h(A)n(CTUAL)g(CUSTOMER.)208 3474 y(One)f(sp)r(ecial)g(kind)h(of)f (CUSTOMER)h(is)f(describ)r(ed)h(b)r(elo)n(w:)0 3636 y Fz(RESELLER:)40 b Fy(CUSTOMER)29 b(who)f(en)n(ters)g(in)n(to)h(a)f (SALE)h(agreemen)n(t)e(for)i(the)g(PURPOSE)e(of)i(making)f(further)208 3736 y(SALES)f(of)h(the)g(PR)n(ODUCT)f(\(or)g(a)g(deriv)-5 b(ativ)n(e)27 b(of)g(it\).)208 3867 y Fp(Notes:)284 3998 y Fy(1.)41 b(A)28 b(RESELLER)e(is)i(a)f(CUSTOMER)g(in)h(one)f(SALE)h (and)f(a)h(VENDOR)f(in)h(another.)0 4161 y Fz(PR)m(ODUCT:)42 b Fy(the)28 b(Role)f(of)h(the)g(go)r(o)r(d,)f(service,)f(or)h(quan)n (tit)n(y)g(of)h(money)f(that)h(is:)307 4324 y Fu(\017)41 b Fy(o\013ered)27 b(F)n(OR)h(SALE)f(b)n(y)g(a)g(VENDOR)h({or{)307 4453 y Fu(\017)41 b Fy(agreed)26 b(to)i(b)r(e)g(exc)n(hanged)e(b)n(y)h (the)h(VENDOR)g(with)g(the)g(A)n(CTUAL)g(CUSTOMER)g(in)f(a)h(SALE.)208 4616 y Fp(Notes:)284 4747 y Fy(1.)41 b(There)31 b(is)g(p)r(ossible)g 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