dbacl - digramic Bayesian classifier Git

9705 lines (9687 with data), 527.2 kB

%!PS-Adobe-2.0
%%Creator: dvips(k) 5.92b Copyright 2002 Radical Eye Software
%%Title: dbacl.dvi
%%Pages: 30
%%PageOrder: Ascend
%%BoundingBox: 0 0 596 842
%%DocumentFonts: CMBX10 CMR8 CMCSC10 CMBX8 CMMI8 CMR10 CMTI10 CMMI10
%%+ CMTI8 CMR7 MSBM10 CMMI7 CMR5 CMMI5 CMSY10 CMEX10 CMSY7 CMTT10 CMMI6
%%+ MSBM7 CMSY5 TeX-cmex7 CMTT8
%%EndComments
%DVIPSWebPage: (www.radicaleye.com)
%DVIPSCommandLine: dvips dbacl.dvi -o
%DVIPSParameters: dpi=600, compressed
%DVIPSSource:  TeX output 2004.07.29:1619
%%BeginProcSet: texc.pro
%!
/TeXDict 300 dict def TeXDict begin/N{def}def/B{bind def}N/S{exch}N/X{S
N}B/A{dup}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{A A 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/IEn 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 IEn N end A{/foo setfont}2
array copy cvx N load 0 nn put/ctr 0 N[}B/sf 0 N/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 A
definefont setfont}B/Cw{Cd A length 5 sub get}B/Ch{Cd A length 4 sub get
}B/Cx{128 Cd A length 3 sub get sub}B/Cy{Cd A length 2 sub get 127 sub}
B/Cdx{Cd A length 1 sub get}B/Ci{Cd A 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/CharBuilder{save 3
1 roll S A/base get 2 index get S/BitMaps get S get/Cd X pop/ctr 0 N Cdx
0 Cx Cy Ch sub Cx Cw add Cy setcachedevice Cw Ch true[1 0 0 -1 -.1 Cx
sub Cy .1 sub]/id Ci N/rw Cw 7 add 8 idiv string N/rc 0 N/gp 0 N/cp 0 N{
rc 0 ne{rc 1 sub/rc X rw}{G}ifelse}imagemask restore}B/G{{id gp get/gp
gp 1 add N A 18 mod S 18 idiv pl S get exec}loop}B/adv{cp add/cp X}B
/chg{rw cp id gp 4 index getinterval putinterval A gp add/gp X adv}B/nd{
/cp 0 N rw exit}B/lsh{rw cp 2 copy get A 0 eq{pop 1}{A 255 eq{pop 254}{
A A add 255 and S 1 and or}ifelse}ifelse put 1 adv}B/rsh{rw cp 2 copy
get A 0 eq{pop 128}{A 255 eq{pop 127}{A 2 idiv S 128 and or}ifelse}
ifelse put 1 adv}B/clr{rw cp 2 index string putinterval adv}B/set{rw cp
fillstr 0 4 index getinterval putinterval adv}B/fillstr 18 string 0 1 17
{2 copy 255 put pop}for N/pl[{adv 1 chg}{adv 1 chg nd}{1 add chg}{1 add
chg nd}{adv lsh}{adv lsh nd}{adv rsh}{adv rsh nd}{1 add adv}{/rc X nd}{
1 add set}{1 add clr}{adv 2 chg}{adv 2 chg nd}{pop nd}]A{bind pop}
forall N/D{/cc X A type/stringtype ne{]}if nn/base get cc ctr put nn
/BitMaps get S ctr S sf 1 ne{A A length 1 sub A 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 A 1 get A
mul exch 0 get A 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/IEn 256 array N 2 string 0 1 255{IEn S A 360 add 36 4
index cvrs cvn put}for pop 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/Rx 0 N/Ry 0 N/V{}B/RV/v{
/Ry X/Rx X V}B statusdict begin/product where{pop false[(Display)(NeXT)
(LaserWriter 16/600)]{A length product length le{A length product exch 0
exch getinterval eq{pop true exit}if}{pop}ifelse}forall}{false}ifelse
end{{gsave TR -.1 .1 TR 1 1 scale Rx Ry false RMat{BDot}imagemask
grestore}}{{gsave TR -.1 .1 TR Rx Ry scale 1 1 false RMat{BDot}
imagemask grestore}}ifelse B/QV{gsave newpath transform round exch round
exch itransform moveto Rx 0 rlineto 0 Ry neg rlineto Rx neg 0 rlineto
fill grestore}B/a{moveto}B/delta 0 N/tail{A/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
%%BeginProcSet: f7b6d320.enc
% Thomas Esser, Dec 2002. public domain
%
% Encoding for:
%     cmb10 cmbx10 cmbx12 cmbx5 cmbx6 cmbx7 cmbx8 cmbx9 cmbxsl10
%     cmdunh10 cmr10 cmr12 cmr17cmr6 cmr7 cmr8 cmr9 cmsl10 cmsl12 cmsl8
%     cmsl9 cmss10cmss12 cmss17 cmss8 cmss9 cmssbx10 cmssdc10 cmssi10
%     cmssi12 cmssi17 cmssi8cmssi9 cmssq8 cmssqi8 cmvtt10
%
/TeXf7b6d320Encoding [
/Gamma /Delta /Theta /Lambda /Xi /Pi /Sigma /Upsilon /Phi /Psi /Omega
/ff /fi /fl /ffi /ffl /dotlessi /dotlessj /grave /acute /caron /breve
/macron /ring /cedilla /germandbls /ae /oe /oslash /AE /OE /Oslash
/suppress /exclam /quotedblright /numbersign /dollar /percent /ampersand
/quoteright /parenleft /parenright /asterisk /plus /comma /hyphen
/period /slash /zero /one /two /three /four /five /six /seven /eight
/nine /colon /semicolon /exclamdown /equal /questiondown /question /at
/A /B /C /D /E /F /G /H /I /J /K /L /M /N /O /P /Q /R /S /T /U /V /W /X
/Y /Z /bracketleft /quotedblleft /bracketright /circumflex /dotaccent
/quoteleft /a /b /c /d /e /f /g /h /i /j /k /l /m /n /o /p /q /r /s /t /u
/v /w /x /y /z /endash /emdash /hungarumlaut /tilde /dieresis /suppress
/.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef
/.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef
/.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef
/.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /space
/Gamma /Delta /Theta /Lambda /Xi /Pi /Sigma /Upsilon /Phi /Psi /.notdef
/.notdef /Omega /ff /fi /fl /ffi /ffl /dotlessi /dotlessj /grave /acute
/caron /breve /macron /ring /cedilla /germandbls /ae /oe /oslash /AE
/OE /Oslash /suppress /dieresis /.notdef /.notdef /.notdef /.notdef
/.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef
/.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef
/.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef
/.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef
/.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef
/.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef
/.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef
] def

%%EndProcSet
%%BeginProcSet: 0ef0afca.enc
% Thomas Esser, Dec 2002. public domain
%
% Encoding for:
%     cmr5
%
/TeX0ef0afcaEncoding [
/Gamma /Delta /Theta /Lambda /Xi /Pi /Sigma /Upsilon /Phi /Psi /Omega
/arrowup /arrowdown /quotesingle /exclamdown /questiondown /dotlessi
/dotlessj /grave /acute /caron /breve /macron /ring /cedilla /germandbls
/ae /oe /oslash /AE /OE /Oslash /suppress /exclam /quotedblright
/numbersign /dollar /percent /ampersand /quoteright /parenleft
/parenright /asterisk /plus /comma /hyphen /period /slash /zero /one
/two /three /four /five /six /seven /eight /nine /colon /semicolon
/less /equal /greater /question /at /A /B /C /D /E /F /G /H /I /J /K
/L /M /N /O /P /Q /R /S /T /U /V /W /X /Y /Z /bracketleft /quotedblleft
/bracketright /circumflex /dotaccent /quoteleft /a /b /c /d /e /f /g /h
/i /j /k /l /m /n /o /p /q /r /s /t /u /v /w /x /y /z /endash /emdash
/hungarumlaut /tilde /dieresis /suppress /.notdef /.notdef /.notdef
/.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef
/.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef
/.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef
/.notdef /.notdef /.notdef /.notdef /space /Gamma /Delta /Theta /Lambda
/Xi /Pi /Sigma /Upsilon /Phi /Psi /.notdef /.notdef /Omega /arrowup
/arrowdown /quotesingle /exclamdown /questiondown /dotlessi /dotlessj
/grave /acute /caron /breve /macron /ring /cedilla /germandbls /ae /oe
/oslash /AE /OE /Oslash /suppress /dieresis /.notdef /.notdef /.notdef
/.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef
/.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef
/.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef
/.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef
/.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef
/.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef
/.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef
] def

%%EndProcSet
%%BeginProcSet: aae443f0.enc
% Thomas Esser, Dec 2002. public domain
%
% Encoding for:
%     cmmi10 cmmi12 cmmi5 cmmi6 cmmi7 cmmi8 cmmi9 cmmib10
%
/TeXaae443f0Encoding [
/Gamma /Delta /Theta /Lambda /Xi /Pi /Sigma /Upsilon /Phi /Psi /Omega
/alpha /beta /gamma /delta /epsilon1 /zeta /eta /theta /iota /kappa
/lambda /mu /nu /xi /pi /rho /sigma /tau /upsilon /phi /chi /psi
/omega /epsilon /theta1 /pi1 /rho1 /sigma1 /phi1 /arrowlefttophalf
/arrowleftbothalf /arrowrighttophalf /arrowrightbothalf /arrowhookleft
/arrowhookright /triangleright /triangleleft /zerooldstyle /oneoldstyle
/twooldstyle /threeoldstyle /fouroldstyle /fiveoldstyle /sixoldstyle
/sevenoldstyle /eightoldstyle /nineoldstyle /period /comma /less /slash
/greater /star /partialdiff /A /B /C /D /E /F /G /H /I /J /K /L /M /N
/O /P /Q /R /S /T /U /V /W /X /Y /Z /flat /natural /sharp /slurbelow
/slurabove /lscript /a /b /c /d /e /f /g /h /i /j /k /l /m /n /o /p
/q /r /s /t /u /v /w /x /y /z /dotlessi /dotlessj /weierstrass /vector
/tie /psi /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef
/.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef
/.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef
/.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef
/space /Gamma /Delta /Theta /Lambda /Xi /Pi /Sigma /Upsilon /Phi /Psi
/.notdef /.notdef /Omega /alpha /beta /gamma /delta /epsilon1 /zeta /eta
/theta /iota /kappa /lambda /mu /nu /xi /pi /rho /sigma /tau /upsilon
/phi /chi /psi /tie /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef
/.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef
/.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef
/.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef
/.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef
/.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef
/.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef
/.notdef /.notdef /.notdef /.notdef /.notdef
] def

%%EndProcSet
%%BeginProcSet: 74afc74c.enc
% Thomas Esser, Dec 2002. public domain
%
% Encoding for:
%     cmbxti10 cmff10 cmfi10 cmfib8 cmti10 cmti12 cmti7 cmti8cmti9 cmu10
%
/TeX74afc74cEncoding [
/Gamma /Delta /Theta /Lambda /Xi /Pi /Sigma /Upsilon /Phi /Psi /Omega
/ff /fi /fl /ffi /ffl /dotlessi /dotlessj /grave /acute /caron /breve
/macron /ring /cedilla /germandbls /ae /oe /oslash /AE /OE /Oslash
/suppress /exclam /quotedblright /numbersign /sterling /percent
/ampersand /quoteright /parenleft /parenright /asterisk /plus /comma
/hyphen /period /slash /zero /one /two /three /four /five /six /seven
/eight /nine /colon /semicolon /exclamdown /equal /questiondown /question
/at /A /B /C /D /E /F /G /H /I /J /K /L /M /N /O /P /Q /R /S /T /U /V /W
/X /Y /Z /bracketleft /quotedblleft /bracketright /circumflex /dotaccent
/quoteleft /a /b /c /d /e /f /g /h /i /j /k /l /m /n /o /p /q /r /s /t /u
/v /w /x /y /z /endash /emdash /hungarumlaut /tilde /dieresis /suppress
/.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef
/.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef
/.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef
/.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /space
/Gamma /Delta /Theta /Lambda /Xi /Pi /Sigma /Upsilon /Phi /Psi /.notdef
/.notdef /Omega /ff /fi /fl /ffi /ffl /dotlessi /dotlessj /grave /acute
/caron /breve /macron /ring /cedilla /germandbls /ae /oe /oslash /AE
/OE /Oslash /suppress /dieresis /.notdef /.notdef /.notdef /.notdef
/.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef
/.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef
/.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef
/.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef
/.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef
/.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef
/.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef
] def

%%EndProcSet
%%BeginProcSet: bbad153f.enc
% Thomas Esser, Dec 2002. public domain
%
% Encoding for:
%     cmsy10 cmsy5 cmsy6 cmsy7 cmsy8 cmsy9
%
/TeXbbad153fEncoding [
/minus /periodcentered /multiply /asteriskmath /divide /diamondmath
/plusminus /minusplus /circleplus /circleminus /circlemultiply
/circledivide /circledot /circlecopyrt /openbullet /bullet
/equivasymptotic /equivalence /reflexsubset /reflexsuperset /lessequal
/greaterequal /precedesequal /followsequal /similar /approxequal
/propersubset /propersuperset /lessmuch /greatermuch /precedes /follows
/arrowleft /arrowright /arrowup /arrowdown /arrowboth /arrownortheast
/arrowsoutheast /similarequal /arrowdblleft /arrowdblright /arrowdblup
/arrowdbldown /arrowdblboth /arrownorthwest /arrowsouthwest /proportional
/prime /infinity /element /owner /triangle /triangleinv /negationslash
/mapsto /universal /existential /logicalnot /emptyset /Rfractur /Ifractur
/latticetop /perpendicular /aleph /A /B /C /D /E /F /G /H /I /J /K
/L /M /N /O /P /Q /R /S /T /U /V /W /X /Y /Z /union /intersection
/unionmulti /logicaland /logicalor /turnstileleft /turnstileright
/floorleft /floorright /ceilingleft /ceilingright /braceleft /braceright
/angbracketleft /angbracketright /bar /bardbl /arrowbothv /arrowdblbothv
/backslash /wreathproduct /radical /coproduct /nabla /integral
/unionsq /intersectionsq /subsetsqequal /supersetsqequal /section
/dagger /daggerdbl /paragraph /club /diamond /heart /spade /arrowleft
/.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef
/.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef
/.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef
/.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef
/minus /periodcentered /multiply /asteriskmath /divide /diamondmath
/plusminus /minusplus /circleplus /circleminus /.notdef /.notdef
/circlemultiply /circledivide /circledot /circlecopyrt /openbullet
/bullet /equivasymptotic /equivalence /reflexsubset /reflexsuperset
/lessequal /greaterequal /precedesequal /followsequal /similar
/approxequal /propersubset /propersuperset /lessmuch /greatermuch
/precedes /follows /arrowleft /spade /.notdef /.notdef /.notdef /.notdef
/.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef
/.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef
/.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef
/.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef
/.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef
/.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef
/.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef
] def

%%EndProcSet
%%BeginProcSet: 09fbbfac.enc
% Thomas Esser, Dec 2002. public domain
%
% Encoding for:
%     cmsltt10 cmtt10 cmtt12 cmtt8 cmtt9
/TeX09fbbfacEncoding [
/Gamma /Delta /Theta /Lambda /Xi /Pi /Sigma /Upsilon /Phi /Psi
/Omega /arrowup /arrowdown /quotesingle /exclamdown /questiondown
/dotlessi /dotlessj /grave /acute /caron /breve /macron /ring /cedilla
/germandbls /ae /oe /oslash /AE /OE /Oslash /visiblespace /exclam
/quotedbl /numbersign /dollar /percent /ampersand /quoteright /parenleft
/parenright /asterisk /plus /comma /hyphen /period /slash /zero /one
/two /three /four /five /six /seven /eight /nine /colon /semicolon /less
/equal /greater /question /at /A /B /C /D /E /F /G /H /I /J /K /L /M /N
/O /P /Q /R /S /T /U /V /W /X /Y /Z /bracketleft /backslash /bracketright
/asciicircum /underscore /quoteleft /a /b /c /d /e /f /g /h /i /j /k /l
/m /n /o /p /q /r /s /t /u /v /w /x /y /z /braceleft /bar /braceright
/asciitilde /dieresis /visiblespace /.notdef /.notdef /.notdef /.notdef
/.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef
/.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef
/.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef
/.notdef /.notdef /.notdef /space /Gamma /Delta /Theta /Lambda /Xi /Pi
/Sigma /Upsilon /Phi /Psi /.notdef /.notdef /Omega /arrowup /arrowdown
/quotesingle /exclamdown /questiondown /dotlessi /dotlessj /grave /acute
/caron /breve /macron /ring /cedilla /germandbls /ae /oe /oslash /AE
/OE /Oslash /visiblespace /dieresis /.notdef /.notdef /.notdef /.notdef
/.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef
/.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef
/.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef
/.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef
/.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef
/.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef
/.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef
] def

%%EndProcSet
%%BeginProcSet: texps.pro
%!
TeXDict begin/rf{findfont dup length 1 add dict begin{1 index/FID ne 2
index/UniqueID ne and{def}{pop pop}ifelse}forall[1 index 0 6 -1 roll
exec 0 exch 5 -1 roll VResolution Resolution div mul neg 0 0]FontType 0
ne{/Metrics exch def dict begin Encoding{exch dup type/integertype ne{
pop pop 1 sub dup 0 le{pop}{[}ifelse}{FontMatrix 0 get div Metrics 0 get
div def}ifelse}forall Metrics/Metrics currentdict end def}{{1 index type
/nametype eq{exit}if exch pop}loop}ifelse[2 index currentdict end
definefont 3 -1 roll makefont/setfont cvx]cvx def}def/ObliqueSlant{dup
sin S cos div neg}B/SlantFont{4 index mul add}def/ExtendFont{3 -1 roll
mul exch}def/ReEncodeFont{CharStrings rcheck{/Encoding false def dup[
exch{dup CharStrings exch known not{pop/.notdef/Encoding true def}if}
forall Encoding{]exch pop}{cleartomark}ifelse}if/Encoding exch def}def
end

%%EndProcSet
%%BeginProcSet: special.pro
%!
TeXDict begin/SDict 200 dict N SDict begin/@SpecialDefaults{/hs 612 N
/vs 792 N/ho 0 N/vo 0 N/hsc 1 N/vsc 1 N/ang 0 N/CLIP 0 N/rwiSeen false N
/rhiSeen false N/letter{}N/note{}N/a4{}N/legal{}N}B/@scaleunit 100 N
/@hscale{@scaleunit div/hsc X}B/@vscale{@scaleunit div/vsc X}B/@hsize{
/hs X/CLIP 1 N}B/@vsize{/vs X/CLIP 1 N}B/@clip{/CLIP 2 N}B/@hoffset{/ho
X}B/@voffset{/vo X}B/@angle{/ang X}B/@rwi{10 div/rwi X/rwiSeen true N}B
/@rhi{10 div/rhi X/rhiSeen true N}B/@llx{/llx X}B/@lly{/lly X}B/@urx{
/urx X}B/@ury{/ury X}B/magscale true def end/@MacSetUp{userdict/md known
{userdict/md get type/dicttype eq{userdict begin md length 10 add md
maxlength ge{/md md dup length 20 add dict copy def}if end md begin
/letter{}N/note{}N/legal{}N/od{txpose 1 0 mtx defaultmatrix dtransform S
atan/pa X newpath clippath mark{transform{itransform moveto}}{transform{
itransform lineto}}{6 -2 roll transform 6 -2 roll transform 6 -2 roll
transform{itransform 6 2 roll itransform 6 2 roll itransform 6 2 roll
curveto}}{{closepath}}pathforall newpath counttomark array astore/gc xdf
pop ct 39 0 put 10 fz 0 fs 2 F/|______Courier fnt invertflag{PaintBlack}
if}N/txpose{pxs pys scale ppr aload pop por{noflips{pop S neg S TR pop 1
-1 scale}if xflip yflip and{pop S neg S TR 180 rotate 1 -1 scale ppr 3
get ppr 1 get neg sub neg ppr 2 get ppr 0 get neg sub neg TR}if xflip
yflip not and{pop S neg S TR pop 180 rotate ppr 3 get ppr 1 get neg sub
neg 0 TR}if yflip xflip not and{ppr 1 get neg ppr 0 get neg TR}if}{
noflips{TR pop pop 270 rotate 1 -1 scale}if xflip yflip and{TR pop pop
90 rotate 1 -1 scale ppr 3 get ppr 1 get neg sub neg ppr 2 get ppr 0 get
neg sub neg TR}if xflip yflip not and{TR pop pop 90 rotate ppr 3 get ppr
1 get neg sub neg 0 TR}if yflip xflip not and{TR pop pop 270 rotate ppr
2 get ppr 0 get neg sub neg 0 S TR}if}ifelse scaleby96{ppr aload pop 4
-1 roll add 2 div 3 1 roll add 2 div 2 copy TR .96 dup scale neg S neg S
TR}if}N/cp{pop pop showpage pm restore}N end}if}if}N/normalscale{
Resolution 72 div VResolution 72 div neg scale magscale{DVImag dup scale
}if 0 setgray}N/psfts{S 65781.76 div N}N/startTexFig{/psf$SavedState
save N userdict maxlength dict begin/magscale true def normalscale
currentpoint TR/psf$ury psfts/psf$urx psfts/psf$lly psfts/psf$llx psfts
/psf$y psfts/psf$x psfts currentpoint/psf$cy X/psf$cx X/psf$sx psf$x
psf$urx psf$llx sub div N/psf$sy psf$y psf$ury psf$lly sub div N psf$sx
psf$sy scale psf$cx psf$sx div psf$llx sub psf$cy psf$sy div psf$ury sub
TR/showpage{}N/erasepage{}N/setpagedevice{pop}N/copypage{}N/p 3 def
@MacSetUp}N/doclip{psf$llx psf$lly psf$urx psf$ury currentpoint 6 2 roll
newpath 4 copy 4 2 roll moveto 6 -1 roll S lineto S lineto S lineto
closepath clip newpath moveto}N/endTexFig{end psf$SavedState restore}N
/@beginspecial{SDict begin/SpecialSave save N gsave normalscale
currentpoint TR @SpecialDefaults count/ocount X/dcount countdictstack N}
N/@setspecial{CLIP 1 eq{newpath 0 0 moveto hs 0 rlineto 0 vs rlineto hs
neg 0 rlineto closepath clip}if ho vo TR hsc vsc scale ang rotate
rwiSeen{rwi urx llx sub div rhiSeen{rhi ury lly sub div}{dup}ifelse
scale llx neg lly neg TR}{rhiSeen{rhi ury lly sub div dup scale llx neg
lly neg TR}if}ifelse CLIP 2 eq{newpath llx lly moveto urx lly lineto urx
ury lineto llx ury lineto closepath clip}if/showpage{}N/erasepage{}N
/setpagedevice{pop}N/copypage{}N newpath}N/@endspecial{count ocount sub{
pop}repeat countdictstack dcount sub{end}repeat grestore SpecialSave
restore end}N/@defspecial{SDict begin}N/@fedspecial{end}B/li{lineto}B
/rl{rlineto}B/rc{rcurveto}B/np{/SaveX currentpoint/SaveY X N 1
setlinecap newpath}N/st{stroke SaveX SaveY moveto}N/fil{fill SaveX SaveY
moveto}N/ellipse{/endangle X/startangle X/yrad X/xrad X/savematrix
matrix currentmatrix N TR xrad yrad scale 0 0 1 startangle endangle arc
savematrix setmatrix}N end

%%EndProcSet
%%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 0 /.notdef put
readonly def
/FontBBox{-5 -232 545 699}readonly def
/UniqueID 5000830 def
currentdict end
currentfile eexec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0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
cleartomark
%%EndFont 
%%BeginFont: TeX-cmex7
%!PS-AdobeFont-1.0: TeX-cmex7 001.001
% Filtered by type1fix.pl 0.05
%%EndComments
13 dict dup begin
/FontInfo 16 dict dup begin
/Copyright (see\040copyright\040of\040original\040TeX\040font) def
/FamilyName (TeX\040cmex7) def
/FullName (TeX\040cmex7\040Regular) def
/ItalicAngle 0 def
/Notice (converted\040after\040April\0402001) def
/UnderlinePosition -100 def
/UnderlineThickness 50 def
/Weight (Regular) def
/isFixedPitch false def
/version (001.001) def
end readonly def
/FontName /TeX-cmex7 def
/PaintType 0 def
/FontType 1 def
/FontMatrix [0.001 0 0 0.001 0 0] readonly def
/Encoding 256 array
0 1 255 {1 index exch /.notdef put} for
dup 80 /P put
readonly def
/FontBBox {-14 -2954 1627 771} readonly def
/UniqueID 4314415 def
currentdict end
currentfile eexec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0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
cleartomark
%%EndFont 
%%BeginFont: CMSY5
%!PS-AdobeFont-1.1: CMSY5 1.0
%%CreationDate: 1991 Aug 15 07:21:16
% Copyright (C) 1997 American Mathematical Society. All Rights Reserved.
11 dict begin
/FontInfo 7 dict dup begin
/version (1.0) readonly def
/Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def
/FullName (CMSY5) readonly def
/FamilyName (Computer Modern) readonly def
/Weight (Medium) readonly def
/ItalicAngle -14.035 def
/isFixedPitch false def
end readonly def
/FontName /CMSY5 def
/PaintType 0 def
/FontType 1 def
/FontMatrix [0.001 0 0 0.001 0 0] readonly def
/Encoding 256 array
0 1 255 {1 index exch /.notdef put} for
dup 0 /.notdef put
readonly def
/FontBBox{21 -944 1448 791}readonly def
/UniqueID 5000815 def
currentdict end
currentfile eexec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0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
cleartomark
%%EndFont 
%%BeginFont: MSBM7
%!PS-AdobeFont-1.1: MSBM7 2.1
%%CreationDate: 1992 Oct 17 08:30:50
% Math Symbol fonts were designed by the American Mathematical Society.
% Copyright (C) 1997 American Mathematical Society. All Rights Reserved.
11 dict begin
/FontInfo 7 dict dup begin
/version (2.1) readonly def
/Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def
/FullName (MSBM7) readonly def
/FamilyName (Euler) readonly def
/Weight (Medium) readonly def
/ItalicAngle 0 def
/isFixedPitch false def
end readonly def
/FontName /MSBM7 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 81 /Q put
readonly def
/FontBBox{0 -504 2615 1004}readonly def
/UniqueID 5032014 def
currentdict end
currentfile eexec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0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
cleartomark
%%EndFont 
%%BeginFont: CMMI6
%!PS-AdobeFont-1.1: CMMI6 1.100
%%CreationDate: 1996 Jul 23 07:53:52
% Copyright (C) 1997 American Mathematical Society. All Rights Reserved.
11 dict begin
/FontInfo 7 dict dup begin
/version (1.100) readonly def
/Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def
/FullName (CMMI6) readonly def
/FamilyName (Computer Modern) readonly def
/Weight (Medium) readonly def
/ItalicAngle -14.04 def
/isFixedPitch false def
end readonly def
/FontName /CMMI6 def
/PaintType 0 def
/FontType 1 def
/FontMatrix [0.001 0 0 0.001 0 0] readonly def
/Encoding 256 array
0 1 255 {1 index exch /.notdef put} for
dup 0 /.notdef put
readonly def
/FontBBox{11 -250 1241 750}readonly def
/UniqueID 5087381 def
currentdict end
currentfile eexec
D9D66F633B846A97B686A97E45A3D0AA0529731C99A784CCBE85B4993B2EEBDE
3B12D472B7CF54651EF21185116A69AB1096ED4BAD2F646635E019B6417CC77B
532F85D811C70D1429A19A5307EF63EB5C5E02C89FC6C20F6D9D89E7D91FE470
B72BEFDA23F5DF76BE05AF4CE93137A219ED8A04A9D7D6FDF37E6B7FCDE0D90B
986423E5960A5D9FBB4C956556E8DF90CBFAEC476FA36FD9A5C8175C9AF513FE
D919C2DDD26BDC0D99398B9F4D03D6A8F05B47AF95EF28A9C561DBDC98C47CF5
5250011D19E9366EB6FD153D3A100CAA6212E3D5D93990737F8D326D347B7EDC
4391C9DF440285B8FC159D0E98D4258FC57892DDF0342CA1080743A076089583
6AD6FB2DC4C13F077F17789476E48402796E685107AF60A63FB0DE0266D55CF1
8D0AD65B9342CB686E564758C96164FFA711B11C1CE8C726F3C7BB1044BBD283
9AA4675747DF61E130A55E297CA5F0182A3F12F9085AF2F503481071724077A9
387E27879A9649AD5F186F33500FAC8F7FA26634BDCE1221EC0ED0E359E5EA5E
6166526FEB90C30D30099FBDC1BC2F9B62EFEEC48345160804AA98F8D0AA54B7
A480E715426651865C8E444EDB798C7E11040AF6E5A7ED1888653C6DBF5E6169
70BCD9C063B63B561EF165BF3AF11F8E519F37C6FDA2827685739DE2C48B5ADE
EE84F067D704D4511DBFA49E166D543CFD9ECD7417055D8A827F51E087CD2927
BAFC7E6CFBD70B0FE969F890A11149D3D44D422C3370495DA9951AEE7253A49F
3A9444C8CD9158D84117299F7F2332FEB0F94E6ED8BC7AA789A3219BC2F227D3
3B5BC75FB53B55D72AF4A6A7BB613FA235B11BB37D059FD87127CEF73D5B3FBF
9F91ABAD78BD9240BD9525EBA78095EA0BDB25D1A19E876F292882EAD5619D46
D20317A345D931F4FF4EAE6216C27044CBA525E3B917CEA25A04C120466C4B93
FC720E6BA832A06CCA0A3916CEF0968D49085AEBD243C41A448289A6F05CE3F5
79148DC112A3CC7E8FF810B8C1A09E05F496C0F1EBA334E42E05C376C98F5F69
C06C71BFC0A2F3AC9951CFBB143C66FB84F9C4ED27DF70869352D61BD5E11508
0797B87C709E3C151EB44E478CA576D257DF226C00BEC7E7C367F9F0CC740674
94669D512B172694846EFC49E854D31F779A25CA3DFD01989A3B85B4F487C3DA
2347DCC885FB17A5644325B36F6390D19E25711017E5E38CDB90927446190649
ED63C2EED047AC1C5C1F210F742D6C3F2E9CCA00B6F3E01A281DC72B05ED8E1D
7E3FCA1B208E567633C052AD4FB6A890C199AC991DAEB749B856B3AFEDC853F1
983DE86982126BAEE7E028A0880D3D9076104D892937BC47942DC64977DFF489
DE28CB2CDC0A20A8AA124471FED76DF58E1C76E5CBA320841B9A92153FBFCB47
EB2952D76AEA0027D2361264197E47D5C1E180EDD421AEE6055B2A351E520F97
A3CDBD2BF52EBC2763776205A44BBA0D2F9D5E32E7BB9DD06F4BB3189BA066E1
82B2799039ED171E512EC482164F23E9AA5CE8164C5822D2F72DE4A201C87E2C
2EF7974332FE505C48BB2D6D8D6CB774BBA6C784F803B69DA71464634D2BA45D
1DEBC3FF0300288F74FFF85FEA59F972E93114F651CF3A3AF93F45AFC9549A58
B0CB86E34601E065E1ED5E23FB4733EC2D3C79D2C18EAD9F35D340BCA8F131BB
330E1868A05303665580E8946C3D6A2E2ADC36A69530D971697DA8ED155818AC
16E3DEE6968891225D5E0DD0363A941D20B76CFC6A4531D02110290578D4D118
3475AC1644257BFA84AF546324F3AEA5043D7171D4C251CC8CFF
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
cleartomark
%%EndFont 
%%BeginFont: CMTT10
%!PS-AdobeFont-1.1: CMTT10 1.00B
%%CreationDate: 1992 Apr 26 10:42:42
% 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 (CMTT10) readonly def
/FamilyName (Computer Modern) readonly def
/Weight (Medium) readonly def
/ItalicAngle 0 def
/isFixedPitch true def
end readonly def
/FontName /CMTT10 def
/PaintType 0 def
/FontType 1 def
/FontMatrix [0.001 0 0 0.001 0 0] readonly def
/Encoding 256 array
0 1 255 {1 index exch /.notdef put} for
dup 0 /.notdef put
readonly def
/FontBBox{-4 -235 731 800}readonly def
/UniqueID 5000832 def
currentdict end
currentfile eexec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0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
cleartomark
%%EndFont 
%%BeginFont: CMSY7
%!PS-AdobeFont-1.1: CMSY7 1.0
%%CreationDate: 1991 Aug 15 07:21:52
% Copyright (C) 1997 American Mathematical Society. All Rights Reserved.
11 dict begin
/FontInfo 7 dict dup begin
/version (1.0) readonly def
/Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def
/FullName (CMSY7) readonly def
/FamilyName (Computer Modern) readonly def
/Weight (Medium) readonly def
/ItalicAngle -14.035 def
/isFixedPitch false def
end readonly def
/FontName /CMSY7 def
/PaintType 0 def
/FontType 1 def
/FontMatrix [0.001 0 0 0.001 0 0] readonly def
/Encoding 256 array
0 1 255 {1 index exch /.notdef put} for
dup 0 /.notdef put
readonly def
/FontBBox{-15 -951 1252 782}readonly def
/UniqueID 5000817 def
currentdict end
currentfile eexec
D9D66F633B846A97B686A97E45A3D0AA052F09F9C8ADE9D907C058B87E9B6964
7D53359E51216774A4EAA1E2B58EC3176BD1184A633B951372B4198D4E8C5EF4
A213ACB58AA0A658908035BF2ED8531779838A960DFE2B27EA49C37156989C85
E21B3ABF72E39A89232CD9F4237FC80C9E64E8425AA3BEF7DED60B122A52922A
221A37D9A807DD01161779DDE7D251491EBF65A98C9FE2B1CF8D725A70281949
8F4AFFE638BBA6B12386C7F32BA350D62EA218D5B24EE612C2C20F43CD3BFD0D
F02B185B692D7B27BEC7290EEFDCF92F95DDEB507068DE0B0B0351E3ECB8E443
E611BE0A41A1F8C89C3BC16B352C3443AB6F665EAC5E0CC4229DECFC58E15765
424C919C273E7FA240BE7B2E951AB789D127625BBCB7033E005050EB2E12B1C8
E5F3AD1F44A71957AD2CC53D917BFD09235601155886EE36D0C3DD6E7AA2EF9C
C402C77FF1549E609A711FC3C211E64E8F263D60A57E9F2B47E3480B978AAF63
868AEA25DA3D5413467B76D2F02F8097D2841D1AB6F1C3098739FC97CC45BD0C
78233B41CEDF70BDBE0991FCEF86726B5074C9E2F279E5BB5CAD3199FD60A7AB
5EAC8BC693564BFE10D24AA3B36473D6631F0CB4A2A1371578EC492127D41847
4BBC1173AC5549AE0B57BD65D982CB22F7AF277C8A9F7C0717555D3626E21407
177374183180ED1D4130019AE26000335947A3C4F18980DFBC41781388D651CD
F8BBBA4B5F971CD59ED3185F6487C12BA040FBF4EF09B294EF7A5CF2E14EA12C
F5314721E3F64F0B17EFF49A4883BFE08F3500377FC7531EB2649F4323FFC6E2
65CACA7D23B0148E390561F4270E12C90FC56663D690FC86178248A55A38B2A4
72A89ED8FE50341604060BC8E69A9798F3DFDC8CA27EC4B03601FCE62309436E
B3B815343EFEB12BED78FA27D88B98604AC9D0D5E4007072B85979F9DECDD951
331A92BDC6C6BBD80C1876C1E995B03DD5033BB820B598F7EA6567B3F0F3909E
257E3D007F430788D33C12B5B54FEB67AAE6D34B83549ADCB7B1056F35E146F3
5D596955BFC56B506C3ACBBAF078ADFC662007C42BB37AA06D18C08A2818AD08
3EEFD7065D841C43F12878BABCAE51E5DF033298C48566303AAD8B8FCA4679AC
5815D077A70D94A9BEB33D05461DD385E7049966F168EBEA2EC8364BC1623CC0
32F7B9DE0BE469224661F35385494328D035C6851484B96BBA39070FD378BC02
1940395B6E5EC2486EA5CF9025E8D82CF7975E6059306ED110E17C7103917C92
E4F8D45EC4024E89509144A0C2E42E30B8E4CE1B22E2109A0ED7F9CE2B64E66E
CE34A881AA547E4B6DE3DFF9B3992E99C711FDD8060A8990672833BFCEE6DAA9
B968E3D7F73249DF2A8B9BF90E101E4F49B98A5637E67306FB57CBF05A7AC209
9A7C72C6C1BD06679780CF9F2FF4AE0D38E4A2B4BFF1D5991D3D19CBEE25CF28
3323774B2189D18045E7EDC06E03F0B820D8334EBAF33E1F4200667D9A802A85
7626EC43E87EC4EC87F042F1291114895B5E3EBD918CD88D4B993D7283E1C862
CAE8C6629609C04E1637967FFD9CD920EBD8C991B2B8DD2F0BADE48B9C49E8A7
8FBE8EEADC42E4A0FC5EB3A0EDCDB50D3E1B300827E691525C14A7E4C206AD41
BF26B1221F4EA813DBEFDF03D6DF0AE3A6AAC7D36D52CD32A8C3387956B33DE4
DD77C80DCE784B8A6C06B5BD2D7021A8CD1CC9819056CD4F6E1C3A6269B2020F
708085485FB78E35BB9A5AC2292A9BD04C75EC33C6119A3DE57394ACDD06BDC1
B635F8217E87F9D969B93F455F3F8DDE181388E27920C9AC5EE23674D6EF3618
17814B4D55E0BB9FFE568323EDCBF473BF1E2B30398B9967A9685AA30A723F82
C948BB29FB15DFB8B657F2416FFE1D0245EC46B5CC8F4BA7771A18A87DD6AD18
B2A6B0267B199DBDBA0ED801B4E8C60DE54C0432CBFFE6894764A1FBD925BE1B
EE309482F27BA25B3F71727897A0254541A3BAD8E96912C99C4D1B51B3E2CC79
9CDF89E177D7D01598D0E389B6A8B8415891EB43989B21FBAE9FC54C0A2EF22A
6DD47096BE9A4ECF1DC4BDC2E1923FB390C02D8E194254D2E7B5A41137B4E963
C62F7E22A74799089EDF608A673A80A3C18EE4798A1D1DB74994BA9C3BC0FBAD
2488B27817CF0586EB08EB8BA13C270221CA39E119A5F61FC20C13EF0A467905
8B6E117463A7D326F3EF364C9B36622E3DB55A17540914E58BDC54E676C81EA0
2F04EB12FD42FB76763737A34E2C1E79EEEEDE734C478FBBEF66D7D8B561A69D
DF8E0FFF0AA3423B739EDE85F297E208FF0F6CF7B6F4B92F7EB2F225CC8389C2
0F2EC2E3DEB9885B23D1E029D228EC52A4931ABFD1CF01D8E4C696693A39B16D
051CFDB4D9429561D8B72AAFDBA2ABAE008C36E7709638F431B50CC85D11E27C
1EBDCF45A1AB76D6C46F16F9AF72CE18007504BFE2150A4EB8011CC6BD1EF4D5
DEF1353736491F9330ED8A837CC5E3F79E90D6C2576B974BF02EB0B63E749F65
DE833D69C6AD6BFE90CD6875287A7C4883CD425E60F5C9D456F1A1AD3C1B75E6
61BC09E98BF97253F65949D58445C67E05F6AB7BF5C2DD250A4A021C6FE0E52A
FF9C24845072B70600C21E96E10122D12F5A888FC4B7CF69E34F9D82F7637BC9
DF3499BCFF67B0CA1B208F23852C6F52CEEBBD3E0DCBE70F1E60A64D50F40B20
087F83678DFB09464D19AB6B9F0528E70FA9F783B08445A26DA67AEE01E8D374
95C87E78385F93B0A50761ED2CD84F33733AC33B41AFB5FAE4A10ED64FD4188E
6DB62EAE337D2F1FFA6CF207E15EC760D269D1AAF234C2F0DD0E91C9A2EEBB28
585EC1AC83A7C8D53D183EC3D8E29942F5663B142B8C4D637446B1E73C834DC3
49DD52B70E76DB79D0DF576F62540C3840CFBF3059537B1D6508632AF7446E36
B8E43AE2E1DD24DD0F3CE65FEC30206CC5B254B85BFE6CAD11315F9B329A288E
62D934F7BD3E18779C48B0A51E10227CC54DB029AAB89C6C55E18D9E995C565A
F9F2B2CAACD6808E10D944B1D728D1410DF513B52F8CC840C5EA932D3F11B365
0DD4691E9A3E33B0FF3319E7BDFC124C4BA8ACB89F165D4F8F2E674429F4C5AD
C87C1B6B1F4F43B738D884ECFCCC4A8C0CD1ED03AD92540044925FFFA607D9A9
2801AF94190B7D7F11D14160650B98C2B6B1CE233C95CFA3D091365252A89746
F126F134A015A9CC5586C8E98EB336C16B2CFC6D7FD5A4C7336B767CBBE815BF
EC85BFA6818713AED01E172D3DDBA6E51BC8E6B88F9F799E95C1BFEB257789B6
BA9D9CBA8A6E22A53BD72281576A1A98B94D3A29F9373393B5148407ACE18EBB
6C6C0A1C47C2D1ECB4EA516AB77F124DBB892A8330794F7D9F4CDF01865905C1
C25150BDE185023498904AE81177064F8BC82199C6F94191CDB9DAA14D1C1173
5968CF92EF62DE2D45C969B585830A6C3CD2957C849785FFF5970CED19492233
12D7D7F77A66EF4B0351ADF14908AE2D24E7D9E6DA1A2CDC497FC4FB3F96841A
6F224003F1D72B12D8B97905CDF3DDC1E916F5ED5605A80BB019EC138953D197
72D99A5CB1DDBB012672EA9EFD294653ED7DD06F87340B819988ADE18C6BAB27
0D05BF0942BC90C3D00D872F28F797C8F26D81FF2FDA57FAE55E8CC841867B8F
07B900950B09788DDFD27202A453EF0559A0A3C023754B45EB9EBA92A71E8608
70EE8AA5C57AD7008D1B622C81885DA6C8509CE53179FCFEA3F035686567346A
D2CC2DB9F0A5D4C5760D103189F2607FEC98258A03E6815873C55DAE1C483AD6
3B797A0B4356205F9BBAE90806E30BC03DE8F205287D58430887CD
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
cleartomark
%%EndFont 
%%BeginFont: CMEX10
%!PS-AdobeFont-1.1: CMEX10 1.00
%%CreationDate: 1992 Jul 23 21:22:48
% Copyright (C) 1997 American Mathematical Society. All Rights Reserved.
11 dict begin
/FontInfo 7 dict dup begin
/version (1.00) readonly def
/Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def
/FullName (CMEX10) readonly def
/FamilyName (Computer Modern) readonly def
/Weight (Medium) readonly def
/ItalicAngle 0 def
/isFixedPitch false def
end readonly def
/FontName /CMEX10 def
/PaintType 0 def
/FontType 1 def
/FontMatrix [0.001 0 0 0.001 0 0] readonly def
/Encoding 256 array
0 1 255 {1 index exch /.notdef put} for
dup 0 /parenleftbig put
dup 1 /parenrightbig put
dup 2 /bracketleftbig put
dup 3 /bracketrightbig put
dup 8 /braceleftbig put
dup 9 /bracerightbig put
dup 16 /parenleftBig put
dup 17 /parenrightBig put
dup 19 /parenrightbigg put
dup 20 /bracketleftbigg put
dup 21 /bracketrightbigg put
dup 32 /parenleftBigg put
dup 33 /parenrightBigg put
dup 34 /bracketleftBigg put
dup 35 /bracketrightBigg put
dup 56 /bracelefttp put
dup 58 /braceleftbt put
dup 60 /braceleftmid put
dup 62 /braceex put
dup 80 /summationtext put
dup 81 /producttext put
dup 82 /integraltext put
dup 88 /summationdisplay put
dup 89 /productdisplay put
dup 90 /integraldisplay put
dup 101 /tildewide put
dup 104 /bracketleftBig put
dup 105 /bracketrightBig put
readonly def
/FontBBox{-24 -2960 1454 772}readonly def
/UniqueID 5000774 def
currentdict end
currentfile eexec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0000000000000000000000000000000000000000000000000000000000000000
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 0 /.notdef put
readonly def
/FontBBox{-29 -960 1116 775}readonly def
/UniqueID 5000820 def
currentdict end
currentfile eexec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0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
cleartomark
%%EndFont 
%%BeginFont: CMMI5
%!PS-AdobeFont-1.1: CMMI5 1.100
%%CreationDate: 1996 Aug 02 08:21:10
% Copyright (C) 1997 American Mathematical Society. All Rights Reserved.
11 dict begin
/FontInfo 7 dict dup begin
/version (1.100) readonly def
/Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def
/FullName (CMMI5) readonly def
/FamilyName (Computer Modern) readonly def
/Weight (Medium) readonly def
/ItalicAngle -14.04 def
/isFixedPitch false def
end readonly def
/FontName /CMMI5 def
/PaintType 0 def
/FontType 1 def
/FontMatrix [0.001 0 0 0.001 0 0] readonly def
/Encoding 256 array
0 1 255 {1 index exch /.notdef put} for
dup 0 /.notdef put
readonly def
/FontBBox{37 -250 1349 750}readonly def
/UniqueID 5087380 def
currentdict end
currentfile eexec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0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
cleartomark
%%EndFont 
%%BeginFont: CMR5
%!PS-AdobeFont-1.1: CMR5 1.00B
%%CreationDate: 1992 Feb 19 19:55:02
% Copyright (C) 1997 American Mathematical Society. All Rights Reserved.
11 dict begin
/FontInfo 7 dict dup begin
/version (1.00B) readonly def
/Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def
/FullName (CMR5) readonly def
/FamilyName (Computer Modern) readonly def
/Weight (Medium) readonly def
/ItalicAngle 0 def
/isFixedPitch false def
end readonly def
/FontName /CMR5 def
/PaintType 0 def
/FontType 1 def
/FontMatrix [0.001 0 0 0.001 0 0] readonly def
/Encoding 256 array
0 1 255 {1 index exch /.notdef put} for
dup 0 /.notdef put
readonly def
/FontBBox{-341 -250 1304 965}readonly def
/UniqueID 5000788 def
currentdict end
currentfile eexec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0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
cleartomark
%%EndFont 
%%BeginFont: CMMI7
%!PS-AdobeFont-1.1: CMMI7 1.100
%%CreationDate: 1996 Jul 23 07:53:53
% Copyright (C) 1997 American Mathematical Society. All Rights Reserved.
11 dict begin
/FontInfo 7 dict dup begin
/version (1.100) readonly def
/Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def
/FullName (CMMI7) readonly def
/FamilyName (Computer Modern) readonly def
/Weight (Medium) readonly def
/ItalicAngle -14.04 def
/isFixedPitch false def
end readonly def
/FontName /CMMI7 def
/PaintType 0 def
/FontType 1 def
/FontMatrix [0.001 0 0 0.001 0 0] readonly def
/Encoding 256 array
0 1 255 {1 index exch /.notdef put} for
dup 0 /.notdef put
readonly def
/FontBBox{0 -250 1171 750}readonly def
/UniqueID 5087382 def
currentdict end
currentfile eexec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0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
cleartomark
%%EndFont 
%%BeginFont: MSBM10
%!PS-AdobeFont-1.1: MSBM10 2.1
%%CreationDate: 1993 Sep 17 11:10:37
% Math Symbol fonts were designed by the American Mathematical Society.
% Copyright (C) 1997 American Mathematical Society. All Rights Reserved.
11 dict begin
/FontInfo 7 dict dup begin
/version (2.1) readonly def
/Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def
/FullName (MSBM10) readonly def
/FamilyName (Euler) readonly def
/Weight (Medium) readonly def
/ItalicAngle 0 def
/isFixedPitch false def
end readonly def
/FontName /MSBM10 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 80 /P put
dup 81 /Q put
dup 82 /R put
readonly def
/FontBBox{-55 -420 2343 920}readonly def
/UniqueID 5031982 def
currentdict end
currentfile eexec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0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
cleartomark
%%EndFont 
%%BeginFont: CMR7
%!PS-AdobeFont-1.1: CMR7 1.0
%%CreationDate: 1991 Aug 20 16:39:21
% Copyright (C) 1997 American Mathematical Society. All Rights Reserved.
11 dict begin
/FontInfo 7 dict dup begin
/version (1.0) readonly def
/Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def
/FullName (CMR7) readonly def
/FamilyName (Computer Modern) readonly def
/Weight (Medium) readonly def
/ItalicAngle 0 def
/isFixedPitch false def
end readonly def
/FontName /CMR7 def
/PaintType 0 def
/FontType 1 def
/FontMatrix [0.001 0 0 0.001 0 0] readonly def
/Encoding 256 array
0 1 255 {1 index exch /.notdef put} for
dup 0 /.notdef put
readonly def
/FontBBox{-27 -250 1122 750}readonly def
/UniqueID 5000790 def
currentdict end
currentfile eexec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0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
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 0 /.notdef put
readonly def
/FontBBox{-35 -250 1190 750}readonly def
/UniqueID 5000826 def
currentdict end
currentfile eexec
D9D66F633B846A97B686A97E45A3D0AA0529731C99A784CCBE85B4993B2EEBDE
3B12D472B7CF54651EF21185116A69AB1096ED4BAD2F646635E019B6417CC77B
532F85D811C70D1429A19A5307EF63EB5C5E02C89FC6C20F6D9D89E7D91FE470
B72BEFDA23F5DF76BE05AF4CE93137A219ED8A04A9D7D6FDF37E6B7FCDE0D90B
986423E5960A5D9FBB4C956556E8DF90CBFAEC476FA36FD9A5C8175C9AF513FE
D919C2DDD26BDC0D99398B9F4D03D6A8F05B47AF95EF28A9C561DBDC98C47CF5
525003F3DAD7933EB57E7DB1462E9D906F6D8F5BF740206C1EC5F36E00AAFF68
F3EF6F3A2540E5F9564D1C215BC1E7E69C7D04DA5DB1CF195613C9CBF4BAA360
84AEF3E10E24877FBE36AD731DC97305BDE6DB1F934909FAF60B8E28561FBC57
0F5B6225425BFDE8F0C71CD4507B82FF803E9A301397975E38A259DE1E1B4FC0
06BB1DC2D45B987A2268A77CE8DC025CB0D1B39788BBEE149103950650171C94
5FED1063050A90BD38605BD9365D1C2AE42A7DA3DDB9A263FE10BD487F63D908
D4F02758BD9D7BE53E6353A25BEFA29E42B50C1D078A8B3A746EEDB381CCE36C
93FC4BD1A8D1D6ACD0D355E948CFE397B74D243EB51597D251D0BAE6884D70E8
FEE119462E1939A9783414DF59EEA5FF1529F13869D1FF0A44935C5198CC5DAA
E1FD2A17AEEBF4974052D06734A409E26C457C06700C55896C90BB33E044A737
46590D9FA242819B9527FD59818D8829D4EB2D26A34CC05A2CC063E66F2DF193
8E4F9670014BC243180E45B51DDB05AD1E6A7F619EE1CE09CFC1A4F02CB7270E
4482FEDF673EDED38EF3173C475C34BFB3F6623C5E942A7797FEDDD0EF1D54E9
1D90D7076C0A9687E334907C22F2E7C603388D8D626B0E5A62B7543DCBB575D7
9B3AF95BEA0DC284A53FB40DA68D22E0D0DDA4D06897AA6D0C822190D6AC890C
BE4D5A361119B81C6191E2BC6A5BCB6EDB448EFF624A39B084282AA774EBD006
978CBDECE14A9709A6474CFDFA08AD4C76ABC85B16EA7CEB75BD87EC9BA26352
397C0CBA4112C39DFE9A7B2952D41647E886D869E8740C7822CC5C5753BBA2B1
22D756EC9562EACD19CA523D47DBC02C6830F26E441BEC7CA9E4469EE899070B
59620BC5F575C81CA2AF33B23C4C5C62F9E7F4F8BC95FD12C7CEEF855BE1C04B
9145042A5DEFBC9A67AA32005769E67A81650257F937CF9C70F367EDCE0565FC
55B64B8D6ECFC43CDEDB50640C26701B90458DA68F0BE1A88CC5C1ABD3EDD526
9B40081EC2870E89552AC14E7C00FEAFE5373BB0D14AD6F5EBF0819F3AB5C4AE
AE95FA6DF3AC4D566FABDF7246B41B8B611FF927005232D537DAE51D50056EEA
BD5FD99E96FF4B942944796F937FCB19DED12151487375E05494565459C4F9A9
1E73B665966A3F4FD7DF6152B1C6B5773AD7319BC9F404F87587F30D231CF5A2
5CB5920C067A9A783EC7D1D1CEEF98ACE53403918F9F1DF929B82044CBEBF070
10C5968718751B9F0375A324C2581F1FA5C997F8BE3862265947119C1024CE63
12A1C56DD1C34BFFDB86D9E29AD610A7F646FB11B98424F29D898EDBEFE288C6
821AE6DD01B14F189FE707573F4E4FF9555F821D5CD25768396D61869753B194
B172EBD0FAC1A43A5695C78CB12196D2FED50C7B68FD28B8523FA1290F4B0490
C8B011359140F42287903C058518ACE5952F7F5BF962A04C63AB9399C6890463
EE89D7166162AB2319DD6BAB3D2A6074A9376AED7049C5BAAB39C06879FEBEB3
815AF6C79FBDAF93D34D6565938DE8C42D9E96EEB0A1EB3F99E7DB92402F28D3
8546BCBD22BEC028DF3818CFA1BF62F68F5B9A51052A672C46FF6E01E55D928F
BF2FA905E6937C900E079683A4BD79CE192E4C6F6BE54FD78CABBE51EB17FF16
78E463733267A7D7D44257AE7A264A0AE57CC2F16B66E7CE70CAF8CDA4F7A4C6
E19CDCE45650FF8E162FCE41F354A1A5E378F7B0B49959C4CA7C03F0EC449ED7
21F8CD0CEB5B3D567EC2DB098CFA41D2B879B75420DA4B36EE0886F6FFAAD2AF
03CD655CE28BEAFAEA72F023E4A5BD09184BECBCF0CCF81EA839654236A4299D
3D1EDF3903441F5E88C358715EA10B212EDC9CC140F7AEA09C97A835916312E8
A80938B7DC25BC13A3303E40EAA9DA73FF1F75C76DC9D380B6A95C2A9A06266F
90628D2F179542972E1E6B99D8BDB6D446ABEBCDFC368468D1524D9DFCC12DE0
5DA98A355B59E72D045EF804FF06A15FEACB45AE8021DFA17B15FA61D0DFEB3B
539697134502C919156BE2C3D7DA28B37A7CA198DF3506162793E58E1EA075D0
C850B87B7BDFBDDD7CFE766A7E404926EDB5FEBA083F7058E312777F3565F4B5
F1D0492AE0BF697EE64B4D44EC99AB4DFD5F12406825A8AA63262421CD5B1164
27E5FBDA24CB85411C6A87E6380330E53BFBF89308468D94D7C0171D112FCA96
1375A7A9BB5FB01DA6EF6C818F72AD706975C56447D3BB5A982A55B1D2F32C20
FA3B744F5DC2D2758DF1BC6AA95080CC7ACC76C8866847ED167853923F4921B2
C123956DA548A66E4D5B82D7F27AC721A7FCAC1CD483A9898E9A36CAE8A271AD
51215339AD4ECA50BBF739E4E5682789BE0B9D2DBDE5C2DDFA065B070DDA55AC
1179A124D861BF304D057A07772764A75F032888261A5A947DBAF0DD5247A455
ECD97420726A18612FFCD66D60EA3C5363D2B079B8471BC4F7B01F19883881F8
C86240C386C70AD91FAE709445B817C36101D0B21157FBAF54E999A396C9956E
D497579182B93F41C4283B423A242476917A24C5CF253029B1005ABF5F8C1A0E
EE489DE064CD63D1ACE18FAD8A202280763417D0AB0D4329F11C7B889E6244E8
D5345135BEE03756EA6CF5941C8A3987C3D4B440E6BE9CF5C18414B574569334
33B2CF3D613C039E0B1763C5A93907D94EA6F5EFF1083E3B3F6F9E1EF1CE8CAE
E27CC02AA225E1F9CCDCFF7494F2E488CDC462E62C7175A465FA90B6793CA4AA
5D6BE21974324DEE30C29D44E80260DACF357C8189A82775CEA252D92A280DAD
E7F5172E65FCDEC9B3478035685E0B9E745AAF1AE230FD827096FBC22200F74A
D1242B8D9F41753408F69A1D5BECDA4ACE7CC15F0EE92CB78BCD6769D59A6BED
5EDB5DF571CEF7E350D5C095EB48A1D55FE6C246B4EE6A5591166EA1BC397F8E
18B1616903268660EADE0C83A6E7C62387ECF428C0EF14D5277D1FAEF1B4DED0
91F561B7ED2A06934345D5F47D920988849D15A3FC90109F7D5DE5CB2DCD8664
8081C681CE96EF8BD985E44C2F7529805703913118038E8045E4F4FD4160372B
35E6717F941009FA6FE1F8F5C016D79F608AD19723E4421BC498E9FFFDA3DCFA
D6C4241FC9CBF08E172275E3611B1A2DF7B12E969FEA7BD6D936E2F1FC074CA7
7956D7B6206EEEC8D8A8B80745CAC01414E10539C4EB1E81B532DA98C21B99FA
6C1235D1DC342898A78A4A36CA6A56FEC94C727CB91C5050850F8B83F93E4FA0
5CF2A5A69CAC563DD02B9CB6400C1917A4F80DE31BD057E7DECCB5750049047B
5D0415191B3B84A6D0EB7B8010810CDAD40D1B42E1A12AEB2DDC2CCDC0A7BDF6
C5B5361F09A150644B8E9C660595F03C68D50CBA90A3ED098745E6FA80FF43E6
1934004F0A783BDB85D23F86723248341905DDE53E8CBDFD894824340F450F2D
CC3DF1E0C671DBD99A13AA981226703DD9DD0E2AA738A1DEE8D2CA2B16ADCB41
A98CCD134CD72532C01F7C955A1DCBC3AFF6098A3BD0FA56CB78ABE2A978D721
1E6B687DC977650FAB941C26152E86784465802A36C9CD8772DB8E74B042762C
5AE38409EBAE769684274A63375FE41D78ECA795EE0C2CD02A1F032A5100D6A8
1AB5C78C7BB91FDC6572F40DF2C6CCD3DAFEF12C0A5BC17980915CD6306E3E7F
7A4A082268BBAD540C8934EABFF8C59F4CD1624854FC2713C9BFA9A3FC8E81B2
7EFA924A9D6F060C07052A04330BC84152CB6D2EBF19AF842451CAD0BB9F17A0
FC8694AB9588B377AA33ED035312342021F8AD0A81B04F694ACE9F847FA8AEC0
28628719DAC66A7DF03FB8337AD3A401B180FD0F57251FC4451B3864332998AD
7316A2B89311BB017C832B2C6598D5BA719B916DDABC7D9349EDAB8828A89DC0
EB87277192C6CCE85D1644EE68D91377C86C16B77128C006D7141431F46A55F4
D3628911A79B95E5B595D578009145F34981B04A4BAE1988372C733B73188E04
3A39C4C7951336F78C5DC1178809AB90C50979C77568E954AAA9E892DC6E5E92
A137CF2960FD4D4EF4C2AEBCBC8BBFAAA5FC5E419899E67492E980D23D911BCE
73B9D6320D1C83DE47FD8B7EC5B37AEF601DDC4E6936F0BCA5104538052F74BE
FE0607AAF31133024671A920E1B2DDFE1051777880073E2EB33B7CEA16B5874F
59F5D20CDEC0BA3CD69531ECD3906213005F408042E62CF8136A5E7BD5CD9B29
74BAF0B128249370E212A9494A7B94292E74C22B770A3297DE4B4F0D487E4DE3
C17D57A72777C9C2DA115BF34E12EC28367028FC43D60B473ECF35AFCC3D597F
5A588467E65AB69D23672A9EBE0FA6B28F68C032C5444068BE051C9BA3504822
B2B8F0F252FF8F868DB08F7C92B1EDAF23D7C131C955C7F5CE946ED7132C31C0
8A93C781ACAF2BA69CCA823229B916F7D4C6392D167860A7EB5436CE23856B66
8FB7177E7CA666055F1E28D4F592CFE64FF47530D0DA848B36BE5C5CDF70D3A0
67AE620A0EF6D982BF39421CE999E39EA76566BFBBF879607227E3A5BA74FD59
4C33F0B49AA35658E05208EC8759919D19DE44A92AB79A2EC4B557D3341185AD
8A7B5159031802362A9B89896884120964CB513A75C64BE7CF5B056A9FE1D401
AB69B7A2001315B41FCE6EFF62DD25634FB1892323AAB684CD9313FBA3AD70E2
AE80CC12906C30D42380C5CAB7EF49247B95C52D664E5C36E1763F5D4F4DE807
387A020699007F4E446965339804E70C38B49F71D8BB7DBB0B93C457BDF69B56
55C70313653B72310D249CDF9CEA049363752C49D9E10F23348E1F45333CD0C7
284E2FE94B9A90C239BE46D9C7E80C47D1709DF20BD87D8A1D111EB418DF67C4
3E6147D436C762E2ACE847D16D08229E29266DB1B581B81EED21DA4B04B97ABA
1AB0BF9C21CF08F60FD564C79C678B208A7AD1BCF15E3177443C54F2103D1CC6
08ACC5E4813E5D264F7BEB5A311D8B8F9BD7C745AFBF5721146EC199F492C4FB
27E7F008797C093E257889FE235D1E4794F83C4EE6D132DE73F66BEC86229139
14CE7D8D368872979E57CD68AA22C039B638A4C18501E173151ED64C41ABE42C
424414500A11E7437196C1764F12B8A4CA14DF1048EA198DE0229EE771BB6AD7
E795E198EF6628964549B01FA8D75921F09F3218766A46DCDAFF6F4D23A768BE
A155BA60C3C58933923ED3D179B08FAC5F7678506C36983818694E6EDDF36EC5
1B637627C97882E7DCE3B07FAFB633F03251E4B5F477EBFFC95B05832B4D8913
B85658F83DA887B05D64306ED99D1166AAABA7DC809FBC0F5C1B8802E2A8CBE4
9AD3DC7ABAB15624B9D39CE650A7D29AAD3830A7579EAFECCA7027D8A3811E4C
CA69D11F2E799EF9CEB4389BE7CF2CB6EB7F83EF1D46CB89AAE5B63045EBC27F
1DC52900262E6F7AB0C4DD304C3141F662C9A0E5422C68DA17F1192F90F8FABA
8A696E9A6E74BC8840F9A1A29908D906FD20B1C94DD3492F048E0CF47D040864
EA1DB44F8EDDAEC49D9539894BC308C6FC160AC3E9D78BFF62AE0D19C4CE9570
54CA66FA733072A3A745DE6A76A71C4128BEC080750756892D4536F881F768E1
6FA23E41B9B72DC41970F9E8E13A78FEBDE7D9D2BD87B2C3DC4542841772F129
E6237AA93985FF875C75D257C98C1BEF0F4C8A3D1AF3C099B51B5AB09BC8E90D
CD30E00FAAE31ADF045EE8E12BB7DD941342FDE567EC5324B124AB98C5088F38
0D5DB74A3A4536A465DABB918F79005AE4A6DC384C29526CF0EBED62D40C9E2B
0517D9AE34DDCFDEF65DEB7E482583C82EFC45C9A0146691222BFAEED6F5A9A6
CC153FFD3B4AED87E82A33F1994DF37AE541D4AD67F648BF02A4E37B1BAC8057
14A8211D682D2D513F510FD60543FBC692DAE4CD9A759CAF9E550E7D99F372BE
C40FF9AE29A2671504842AA3306F309B3EE5B08B1B6333C389CDDBF7BC5A34B3
E0628EB4A6E3C15AB484426EDB6F8E3598BE261CBBBCC5BAB119EA9EEE0F68A6
4AC2C282986B1266DCB3407755C6D9E4CFC8B3C41260E7AC8D289CB7C75E637B
7CF333247147494ABD0B85E48450819A9A7B1BC7498180312B9DF608F2D315B5
720CBE15C308F96DDB56ABEDD6625C614E2F79B675E9E0E6BA38C954DBAF021C
8A0AD3BD21847D370268FF41AB6CA000F48447982FDACBB02855BADC49C902AC
A1E34E6F32B6ED66BA4B3D23ACCAC41B81104B91B94BF3CA943A997A68634350
7AA4D24CF80E82A0BDB4DAACE4094C0F74AE01C16CE884F65C5F2B7CCBDD623A
B22692480A24995E33679450C3F8B21869E0FDFB7AC83150486B8ACA30C773C7
A71F22D2C7BB5CE794C8792D940ACAA1D40B7E492CF827D87F3486A7F3BD3359
55988C48F2E31995AF500F4431DFEA58FFAE79EC39007C702D2852CAF9BB5D40
3E148C98ADC35765886A9AC84C1245E08DD5A7E0C630EA23DB8E9A32438B0D07
893639233C3F64DB42B8F40C35366E5E736A288BA6554976B93D0DC7F4B66D23
88C099DDAA0C538CE00FB3101650A8F2EA4FC57CDFB28184DB2F4F86B17BE4C5
01F9FF0384145271EB43137784EBA87E59DF334C0989D210B5CBDE206EBB46D8
6D2BDED70962BC2457AC4521B5BB8A9DB23904E332B0D9FC480C32EFC2F6FE32
D7F974C6934C7740E7D0961BF45D3F3C194DC66E713E121E66FD473F4EA13B66
D2B8451C2C9EF6958114AA0FCC5760FEE79C0CEF12D7FC95CD6D0E920BDBFDE3
D4F40FEF7BBADA9344D7D19DEFD5D9914BEDB63773ADE228C38EA51888D72A2A
DB9289F10D9073E3914CB70C5462E1B62FC1A189E8D203FAD9E5E8492EFE38CE
FA487E459B625BDBEFDA4C342956754B9BC82BA4C53D6B9D19CD5DDE6CA5F1BD
D471C2D07358AEB56755F783ECF59FC40AF9DCDDE8FB135F385D16A940885C32
E574C0C6F798EBEEDC401375B7BD82CB08FBD81103C813B89B64AC656EA54E21
6DD9AB9FB94CD941079349BDA99E2A972E3DCB7E3A5C2AB6B585344052FDF290
A3374B07C8B7A2BBF04512D38F22B08BCA9714BDB1E1F4452476F36BC0CB71B3
DB78FCD012EF43168687C797E7F2A45799C51F09320BAD086C78681582D3E00D
9C7FCBBFE620A3849FB0A7ED8578C8E35892D00F025E39BD7191EB1DECC27C0A
4D3FB14D2FB1557762D9F5AA73B4C9E75120F0B662F844BC04602A26B124067C
46D1522AF395989023746613B06B960C1D22FEE9C775DC6D4F81185DB199AA65
BC43969BFA041687A3427BF76A580CEEB52258B1627DE23A0F0CDCA0985A50D2
FA6C1580FE1D626B62198B09D06972642691447406887D93EED6A4362CF70B50
4DF9F5E6539B6A2F395900A64C91BB957F9F79C4B4E923A69FA97290500071D7
09C0236D05B5B01FE2E2AA0BA6EB757B2F6115000C5F75C5D36EABC61621212D
A01C1DB85144DBBAED059C6C7A6BADB453A7F9B5D73FA07BCA1FE2B8F6243889
1A4F615E7EA83485B7B409361AE2A113FD7D48D76285DF79726F61CD17ACAB51
742D47662F5CB0449C3F2C925152BAA2ED427E0B9C87483456A65C491E163165
E08F71F985364AE875F0FD4444766B731FBAF6E54D30D5CE27C0C054C1B5B4F5
4D4C966A0D480F30828FD5091DF0CA0A2696D70B31F802131BE315E31ADF3F19
13E5D9A91F664873EE0787A273A46900D8AEDCDEA58A475588DA10DA11F23F8F
703A3E315CB804481F32EC5CE408C95CA84E51EA91955EF6029F19185B69CB12
BEE7E85CAA23B57980CA0CBE395BB393D07D25CBFD6EFA25F39D1C76D24F3711
713BD6AEBBB79C10605A49E7F3160E28F5331C2344A2A6D4E10ED30D8A6FEC6D
DB556352227FF40B044B05E37D5AF701C58DD0B1A8A5A568C71C186A2DE0942C
3CADB0A41C04909ACFF2776E8713D917916900C72D92AEF4F609DAD22D55B693
D56E4DA5805459640B2C400B08ECDF4FAEED5464B88D26793F7E1D768181F6BE
15CEAB2AB5E5DCDD3B8CB05C157CC43E160CEE3D1F3C26DFF2CBE64805159CAE
F5BB7055945E4A2C873E1EF54F93FA377F137D17DA23A7F2CC96FA2B280FD366
72F6B69AD14D7F7D206DF30A38986CBDBA75A3ACCB870C792E2BD2429C3DB6C5
C5A1C5FDD1AA85A20CF32BC8A1287824D90F76E913BEB7B5242219E2697307D7
AE02ED4AB5B61641B3FAB6CB0A0366698CDD0215AB1F137332A743FBA3BA35E7
A36C80F91CEF4B1FCBCCACD082D0A826B88187EB14E2841A655A9A378EA3DCF7
5B984FAB62C52503EBDB1911ED10149C87E7A43D8F24187C3015A2EAB3A7288D
8DB0971E769299F9014A1EEEB1EDFF5CDAFD109E5C0BD850747E7C14ADFA4C98
D76979627A8B1796A3536D324177D406E420B20A5AC4D96011BCD5E2E2434575
1A95B5898A55F71452EA4296040331D8DEEA2E05D3C5DBD36E7CB6A6C4014B60
DED826A011A82971D6661B3B9F7004BD134D6523EF780F0E08F51E06BF14F4C9
47FAAF314465D5AC4EE9BB267D67BC733456BE0B2ED6A226774A0A352F53A2C5
9128B13921643D9C61616631E308EE8789C860EEFCC073BCC465F87B2B280E34
2ED7C5E92CB4093C203FF6E4BFA002C7C6EE66B54E3CCCE798B598DCC45B8561
07FE19E1F439B1840567ACC60FB584262BE220F8307F4D863C6FBBDE9C672728
63BC5F021F61CAE985D2FEF03311352DDD29C3BF1F3922C15FFD186420C0B7E5
A9D74CE7B57613A404B089159A66971CA7DF3F0A7FF592C11704A1B7E183464D
992ADD31D550C7D01A630F6BE392515199DC960F07F7C085EABAC70DDDEE8A54
A8DDFF00A428217E07A47C3DDE09D11BF24D6EC1A2A8236CCFAAF88F38EF3DCB
D3481CEEFA7A6650858174B2FF7F397B5D6AD131667222B339EFB32055C58EFD
54D9105F558830D1DE47978B4F3CFB3A6C4369A39040EDF7D48083B30698F7E1
C7ACEFD3CCF162CE582B4A1454631F38EE90F2F76117D90798FF8F9E1F478BCF
AF7D9C61A86F9A182B14536C053E67BFD3DBDBBBD708B4F652EF4F76E8C495FC
EA50F159C0339C45B49A667644DCA14DD8FAF2AFDD59E87099859BC61BDA7A2A
0EEE12C1B29E03103B35D3F37FA7BC94999661612935607BB25FC77656B51758
EFC100F6B0129B831459D72ED6B8917DF1740C184DAE88DA011D9C0B2C99F45F
870FDDEED020912A07FAE394FDBB5A77EFC79246F332047EC582C5F41BE8B059
6906BE2CF36D311E3B52123638C77AEB186C507D1F1739ADBC63843EE3872EDB
B2FB075480CAFCE863984625BE2B041AB16AD2588F733C029389951105B49125
5FA11677FEF4740A8F4BD8B68038B70DDFDB10A712FB0C1BAB75021FAFB00220
6E47EB5B9E1A063AAC2EDC7D496C48D868DD20834C429064DE11A437A2A7936B
6E8D2F67FFD1F5E79738B2C5CC8FDADC979A22AB484A33D132992B9B3B7A1397
F9CB19BA5BFF6B2EE1FF3C59B794EDA3CA702887ED6495ADA9C90DB62FD6ABF4
E3231A54B9B00EB740588ED284043CA44E5FB49FA6F6D9192171367A86A3A9EC
ED0A722AB88F07B1F0E7249B13002DF29AB031EBD71EC00DDFAE48DA79E5160C
D6E7BF8A72F83F19C85A8B74E4F87AAE59577BF79D4525D7E98C852F81CC5333
60F077013CB14ACC2DAD8A0432BF0888059672991CC4CFC28D023AA8F7E2AF92
91E695D90401059C730D96577EDD159CE27184C6F0083D73BCD798AFD71DFD74
0F2B8B27F6C82DE6FFF8828733ECFE3BA21E6CDBE715F00AE36FE19A614781CD
3044F566CC21C3531D60AA1C653245C0B74834DD15DB095CB0A2DA9762C66A9C
F691EE93DEB9CB9854D9B004FD7F748FCA0CA336A03EE3867E2DB9CBC511D569
099A47917193AAC9760E9AA1ADC610C09D09E139FB1DFC32C4DA1BC33EFA46E1
7229EEC6520F6141F4ACCF08C5367898B3A97011F6A1B741E1CF90E12FFA97B5
4185B3AFC66506E9302E5EF63CCA54FBE30633B20CE8D446FEA25B10F1960392
33B02B37DE401B68DC3E96D82B0EAD8A9E9D197BF5F00325F9D8B415A2B2B0A9
3EA6A85745A9C0A837323F395F44642A423DD2C9FF77803B1F51573125A15C29
7C36AA77212BCDAB3DF487FA53F935F69A111A8D749EAF122065DA475BA61623
498F4B33574C47332C15A6707564A8C189D00B9D380A9902D939A497CE652B62
603EF57D4BC8D6493517B48BC78C31AAE6F3185F8AFC0434FE6FB69B7525A73E
D10C1C96ABB51A0850632748470EA0D2CC7D75E334D986C15F7999338581F8D0
99539BF9EDC2BC5A5DFDE4661D672839FD5F515313C8CBF171AA272BD745C8C6
CE4391D11C8C91E4F34D7E813B75377D1E9CBF13BB703DB371C286C51FEFEBF2
9075014E6D9137BBD359732B45585405030ACA06EFBC7ADC7F3018D9E8AB4487
B611DA8E44812BDEA12B5A5CE6135696B4416CCDF2022A1B14417F867517677F
C08D97728FAB09CD6AA8FA8E55EF02FF060643D0B2224FC5E7EE5DAB0DFE3872
D18A23D6A27F98EC2C0637166F8FA9EC1310D01F735E1A729CCA6D5307AF2F51
C59936C2D6ED3B0238647E4980B004DC0F20E411688BF9A349C007B5C9A7ED95
D34DC2C9586A3CD94449652749B41866DA2661C848344437D534384D0F4D2D2B
A6267C2420E0652E68F08D5321C77D1E5698AA4044B1267DD9E017523DB4EFA7
A848E4480B37230DD298F82F77C7DB14986AB58D4EC5B93D478AA80AFAB6784B
D6719F1557BCA4EC3D5270CD7F172021F72C2621E64ACB2ECDEAD8A5DAEC8BC8
CFE02D7E9AAF4CC3528E37DFCF5FD4FD35E7936D2C2D12B2BC9FAFB1CB67C74B
0132C78A6E5C89969B6FDDC13D63AEDAC4B2C261A38155E7F8FFC6DE4421786C
5089F0E151F16D375C599EE2EE0B64B39A5127784EC1AE9C6F6D36AFB7D1F406
23E28F37DC49E43A15DF71D9B382BBA2855FA733A3F908D608FAB62F14124794
B339AF75EBD0D6DD858791371A4306CA6457156AB46FAC6C99E99A09FE8B638C
CF50605C728AEF2AB0B2681AF5328A17C52AEAED9B6C47265E4C0DDA20BB8319
55D51B499F9598D22D312E667CB46C41AE72C76C72F11959E7B0AD4F1E5AE546
D12FAD175BC19B19E22871A25BB16BCCD76448390C84EC7E1FD8CCCD630CD479
5290CC203B64926BB7FFDA72DF7A39EF0AE843F222B21CB20D7E285D512A55F2
19F2FDF3B34C83D5FD831A8150590342868330A19F10132FD7B8781982A702B4
185715CF2A9AD16A71D3C848024D6AE46FE7B27B1D73616E07DAAC31BF2697B3
1513C60615F034BBAE513D0DB979CEF231928D39CF236AB3D29AE98328711205
0ED62B6996900E7591F2F5DB385D2E3468490282860F42A267B55D7AE3CC3943
09930666EF171DCDEA01F018FD5424DF925F854ED79106EC7E4B1D5EB2EA6D26
AF528F860EF8E4BD05EB9B3572FBA4C4238A79C7AAC0962FD74E93B4B5CE9A53
8C769482DE6AB9E2624CB830972E4C6B1DA1568DEDBA9F7F769EBA28F460B050
AAF2734BCD021B1A8AEC6EA551D55571CC58B97D71B58A4A706FD969B555F9FC
6FCED6E62132CD50FC332ECA7435D86B11DA3F6A66BFB5476FAD24CE1AC3414D
78B61EE01A0732E3D138D017F1A4D8181F89031664DFFD2249A15540DDE4701A
1D7AA6388D50E519C3817E27327A24ECF5AA93D69970341CC0B1A7F615A41704
40A480C393206660E90ADE9E3F63CC52F524298D47B52AACD60ECEC9BC33A795
4C59DACF1A9A055EF082FD7A00546A070621C7A4CA802217583F0813CC8A9DC4
24610044FD974269974BD702540A480FB5712B21FCAFE9A70E0EE834AF1A388B
AA338D155CE961535184907D1B5142D2C34979E502233C4DF79090F5B683F78A
B341D3FCCC82C588882323ED6A1CD9BDEB5802900EA5665D29BAB64E745E720C
970EFB2A75851061C0FBFFB32D9681CE3EC4079F3C2B6436DCBAFAD891AD2EF7
CF59704A5FA1A84C789067DF86C55436A266563C4C71990BC57E2517C71D604D
32C623014115BDC4C3F0FF17C0D0CB09D7135D2E48A6BD81CC2F8A9A6B358D60
9A44B71A96185F0244FE8CA8DD23C7A7995B1BA04A9F22C0C1B12D7DA518FDED
54D19B51CFF66703A3BADD87B395A126E7BE50E7119B4D0B93408B35AE531562
0BC942FF37249672F2FAECDB75689C8F64E2D3ADDC51CD2E9E2EAEEC38087698
1B6D6D5EC6A19FC79E1313B66C209947DF73B76FA5D214EFC08037EBC238D0CD
8E486C24DD7FE0563B920A07B4398D20FF7EC995FEEE68D906CCE3DD1F03811B
3EECA063D01C31273554DDAF03CCEDEC41CAB59A06014C3E02978DE7E28F4154
FF573358A98CEB9D140E4AABEEB64E6B6435D089A19917025243E1089614633C
46AD985898035EFE5D88D3A04CEB20EB897ABF3C776FBB4F070DCAB301A31372
ACB63D1516017215DD0E2BC75767EC2673
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
cleartomark
%%EndFont 
%%BeginFont: CMMI10
%!PS-AdobeFont-1.1: CMMI10 1.100
%%CreationDate: 1996 Jul 23 07:53:57
% Copyright (C) 1997 American Mathematical Society. All Rights Reserved.
11 dict begin
/FontInfo 7 dict dup begin
/version (1.100) readonly def
/Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def
/FullName (CMMI10) readonly def
/FamilyName (Computer Modern) readonly def
/Weight (Medium) readonly def
/ItalicAngle -14.04 def
/isFixedPitch false def
end readonly def
/FontName /CMMI10 def
/PaintType 0 def
/FontType 1 def
/FontMatrix [0.001 0 0 0.001 0 0] readonly def
/Encoding 256 array
0 1 255 {1 index exch /.notdef put} for
dup 0 /.notdef put
readonly def
/FontBBox{-32 -250 1048 750}readonly def
/UniqueID 5087385 def
currentdict end
currentfile eexec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%%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 0 /.notdef 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
0000000000000000000000000000000000000000000000000000000000000000
cleartomark
%%EndFont 
%%BeginFont: CMCSC10
%!PS-AdobeFont-1.1: CMCSC10 1.0
%%CreationDate: 1991 Aug 18 17:46:49
% 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 (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 0 /.notdef put
readonly def
/FontBBox{14 -250 1077 750}readonly def
/UniqueID 5000772 def
currentdict end
currentfile eexec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0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
cleartomark
%%EndFont 
%%BeginFont: CMR10
%!PS-AdobeFont-1.1: CMR10 1.00B
%%CreationDate: 1992 Feb 19 19:54:52
% Copyright (C) 1997 American Mathematical Society. All Rights Reserved.
11 dict begin
/FontInfo 7 dict dup begin
/version (1.00B) readonly def
/Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def
/FullName (CMR10) readonly def
/FamilyName (Computer Modern) readonly def
/Weight (Medium) readonly def
/ItalicAngle 0 def
/isFixedPitch false def
end readonly def
/FontName /CMR10 def
/PaintType 0 def
/FontType 1 def
/FontMatrix [0.001 0 0 0.001 0 0] readonly def
/Encoding 256 array
0 1 255 {1 index exch /.notdef put} for
dup 0 /.notdef put
readonly def
/FontBBox{-251 -250 1009 969}readonly def
/UniqueID 5000793 def
currentdict end
currentfile eexec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0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
cleartomark
%%EndFont 
%%BeginFont: CMMI8
%!PS-AdobeFont-1.1: CMMI8 1.100
%%CreationDate: 1996 Jul 23 07:53:54
% 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 (CMMI8) readonly def
/FamilyName (Computer Modern) readonly def
/Weight (Medium) readonly def
/ItalicAngle -14.04 def
/isFixedPitch false def
end readonly def
/FontName /CMMI8 def
/PaintType 0 def
/FontType 1 def
/FontMatrix [0.001 0 0 0.001 0 0] readonly def
/Encoding 256 array
0 1 255 {1 index exch /.notdef put} for
dup 0 /.notdef put
readonly def
/FontBBox{-24 -250 1110 750}readonly def
/UniqueID 5087383 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 0 /.notdef put
readonly def
/FontBBox{-59 -250 1235 750}readonly def
/UniqueID 5000766 def
currentdict end
currentfile eexec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0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
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 0 /.notdef put
readonly def
/FontBBox{-36 -250 1070 750}readonly def
/UniqueID 5000791 def
currentdict end
currentfile eexec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0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
cleartomark
%%EndFont 
%%BeginFont: CMBX10
%!PS-AdobeFont-1.1: CMBX10 1.00B
%%CreationDate: 1992 Feb 19 19:54:06
% Copyright (C) 1997 American Mathematical Society. All Rights Reserved.
11 dict begin
/FontInfo 7 dict dup begin
/version (1.00B) readonly def
/Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def
/FullName (CMBX10) readonly def
/FamilyName (Computer Modern) readonly def
/Weight (Bold) readonly def
/ItalicAngle 0 def
/isFixedPitch false def
end readonly def
/FontName /CMBX10 def
/PaintType 0 def
/FontType 1 def
/FontMatrix [0.001 0 0 0.001 0 0] readonly def
/Encoding 256 array
0 1 255 {1 index exch /.notdef put} for
dup 0 /.notdef put
readonly def
/FontBBox{-301 -250 1164 946}readonly def
/UniqueID 5000768 def
currentdict end
currentfile eexec
D9D66F633B846A97B686A97E45A3D0AA052A014267B7904EB3C0D3BD0B83D891
016CA6CA4B712ADEB258FAAB9A130EE605E61F77FC1B738ABC7C51CD46EF8171
9098D5FEE67660E69A7AB91B58F29A4D79E57022F783EB0FBBB6D4F4EC35014F
D2DECBA99459A4C59DF0C6EBA150284454E707DC2100C15B76B4C19B84363758
469A6C558785B226332152109871A9883487DD7710949204DDCF837E6A8708B8
2BDBF16FBC7512FAA308A093FE5F00F963068B8B731A88D7740B0DDAED1B3F82
7DB9DFB4372D3935C286E39EE7AC9FB6A9B5CE4D2FAE1BC0E55AE02BFC464378
77B9F65C23E3BAB41EFAE344DDC9AB1B3CCBC0618290D83DC756F9D5BEFECB18
2DB0E39997F264D408BD076F65A50E7E94C9C88D849AB2E92005CFA316ACCD91
FF524AAD7262B10351C50EBAD08FB4CD55D2E369F6E836C82C591606E1E5C73F
DE3FA3CAD272C67C6CBF43B66FE4B8677DAFEEA19288428D07FEB1F4001BAA68
7AAD6DDBE432714E799CFA49D8A1A128F32E8B280524BC8041F1E64ECE4053C4
9F0AEC699A75B827002E9F95826DB3F643338F858011008E338A899020962176
CF66A62E3AEF046D91C88C87DEB03CE6CCDF4FB651990F0E86D17409F121773D
6877DF0085DFB269A3C07AA6660419BD0F0EF3C53DA2318BA1860AB34E28BAC6
E82DDB1C43E5203AC9DF9277098F2E42C0F7BD03C6D90B629DE97730245B8E8E
8903B9225098079C55A37E4E59AE2A9E36B6349FA2C09BB1F5F4433E4EEFC75E
3F9830EB085E7E6FBE2666AC5A398C2DF228062ACF9FCA5656390A15837C4A99
EC3740D873CFEF2E248B44CA134693A782594DD0692B4DBF1F16C4CDECA692C4
0E44FDBEF704101118BC53575BF22731E7F7717934AD715AC33B5D3679B784C9
4046E6CD3C0AD80ED1F65626B14E33CFDA6EB2825DC444FA6209615BC08173FF
1805BDFCCA4B11F50D6BD483FD8639F9E8D0245B463D65A0F12C26C8A8EE2910
757696C3F13144D8EA5649816AAD61A949C3A723ABB585990593F20A35CD6B7E
0FA0AD8551CEE41F61924DC36A464A10A1B14C33FAFB04862E30C66C1BC55665
6D07D93B8C0D596E109EE2B1AAB479F7FAA35279ADB468A624BE26D527BFF5ED
E067598E1B8B78188FA4BCFB0B51692D07B0BEBB930C6F0997B437E2C51B876B
61A563A2673932C2045833FAA35DB22ADE12102335D5DC734AE3AC5EEE6658D7
92EB62131E1DFBA441F53EFF9021D9D4C491F26BE8F54C61165CAD778CE8695C
EEAF70E3B20C64D4C2B34A084B5770BAB2A974E898F62BFE90F132A37E2DCA4F
43E13DB13C94DFA8ECE2B7374827AE168634FA007F8981ADA046CED3448BF453
FCD9A4F194FA648F9FC0971734BB69CB73439CB0DD021D44A7C11BF295E81733
4DFBA460FF3D654F9FB337E99E6D66FBA87A817EB9CA1536C84833870E3626DA
55D48DE850D3E6F6B29DA0E7C9D681283586F208DB8D58042E3A7CE55BE84822
C98237911453E479EAB0B483D222394299B2E316A364801A09F2A1A3B0A8AA8B
DBFA82BD9A0A1E60FC5F7F3EFA1DBEB4DA5200E2F29D25BC8614D6C29F336C5E
9F60656D2F7CC4631005135EF22BFCDD25E2C8CEFD0151FF96E6C9AA83556F53
7B440CDA14BC161005456ECA6F07040973D7B75AD2F840CD8E54FB8436165E85
D442D6F6CE706E77C30D1036B2DDC7B421B9DC4FB5F46FF553E1BC2B5216575B
62167F2C7307EE45EF3C791B051653E24FAA0C1916817F941E6CC1EBD3FC64E3
6904F30D21F88309FCCBD2CCC4A797DA8B43408003FA7386312D6ACB7347D643
E711A27B7A11B892011AA4897527EAE3DF4FA7A938555F390C04FA7BB9CC2F53
D054AAF95DC58EE4F87B18B5F7B07DFB6A1723D41C7DC651D115457F264D28F6
C7AC79A0877D1A660D5056FFD5C14AF62EAF7947EACB24C61A1B305CB312121B
A9CC21C956B5867A716446F438B83452AAAE1AF13B492C53C6262FF91B3D0D1A
101E3B4F10898849502B8C8B045ABF751FE6CFDFC3A3615343DA91D2701CB7A4
A99F7FD2C27A7220FD61AD504EE98181624F9A8AEB246B85D8ABE6566507C141
6A073D347430A1B8925506A4AAB5337B999E290BB4078ED610795231E3FE9BE2
CCB2F5D135D2BE120E8CCFBD4A66FC50B2F25BEB8E7E09E14BECF00C9C6AB50C
F9AA2FA4A6B60F45D16C05A65DF6F4383F779695C9A969DE58BEC9A6FBC5BF37
9F84C22EA5CAB183E02C5FF40E4C175FDDCB3ECF9288F67E73A4020AD8558D11
7CA119BCF0331A96F1638DF4851784EB30CA1C58CB167D5481A1CAAC5B47606E
93CBC94250BDA24B3BF20A2F8CD7F70F94A70D9EE2FACCC4FFC8DF9C2D5213C8
4B8D69AAB8C78E9EACDB504D11555D065FE9AD4FC8FB42E513FD732ED1B3743F
F479F706AD6E682791271BF9945DB9BC53656E7F141386F27E8CB9F10B095DD4
04E8C303DDEE791E4DAAE3B96B8C7AE393ABC1A7A81AD20EE0F62BFC341F3201
14A2D93EDBF2AEC78CADD87015E131FB4B6444812DC01679D8FA6F0FCCDFCE30
8852FF44E8587891F80D7139500F6CF5D0E8C9333C506C1CD81137CA05E017F6
EA82A483E8B474DD26FB86BF3A86166258817EB7DE5778EF5CFC1A874540A8D1
0AB4A50A79A9C3DFF0D44DACCD7A7EA6FE095FA0E81EBC597AEB71BF11DD328C
9C15150CD3FE4E217103A3A34AF3165402E6474FE57777AF63D9752D718D9253
C53A3D5FB2E99B9F5D98C7F1EDCABA0F20993B789F6E23D3760153F8A9F70EC1
720F45381359C2A8A8C5DE961D16772BD10C721D134F80726FCF5C4A74BE35F8
CC74155056022469B8A24AADFC7298BEE0404458401194FA26539669C81804C7
95179095F980A6280B39D9846A541574D35ED87BA829B1AD7046D39F6918887E
F1AE10677C2AA0A995FF26D308F38D3D1326C915F7E3406F9A68B4241B958417
C7BAF557D3845FE02905F9BB41CA23A69699CD7EAD6342581940017C1B889956
CA33B6CFDFC125580802A51DD643ADF3EE84F41D8A8DD0F9F26FF9ADA154AA15
F8F524D7513EBE5C2BD85164F88AA96862BC8E2CDC4443316EBE7894133E685C
B8C50EDC1273772B47E27BB9425F1AC4582432A7EC3FE66842019352FF262D0D
F9023057DF892C7D3DDA16D059833BA8A3BC11621E386551F00D022A14D85DC2
65A9700BD3EA9A0697F79068A7427FB022D0FD39CBD380E5FF7E47A4F7DF2438
2C212A3D033B9F67B1658777DB3BCEC9CBE6C4AAE5EC678ACA19CE697076AD97
33E87C4EF582CE980E0CA7AD3C81C0DBA0D89EB52F2153C1397581B702963FD6
70B5C57D3FF8A556DFEC0F748EE3FCBCDC4428F9F96C8EE3BB73C4B5D3CEC911
DE1C35D13BE9F70713F4916C7B6D4799CC6ECFAA613C036C0AC1FF4BA674C6FB
8D81D8D45F4DFB95AC48C7D901A2D4E8E488D608C3219349872790AC009B68D4
B98D7DD99A7BCDDDC7E610953B8735397478830D8A54C3993F41701E21383875
37743444E3678BFBBD046DB04F360E29D54C1B9BCFB4BD38A1ADF98A0820C2FD
A0FE4ED1B85548B7B647321330238D6730508CC3B9705524B6B470050941877F
F847CAD75E5BC0293BF70A7FC114652B5969D5BCA3B4ED7A650185CAC631362E
62A281E22DD8760BE3ED58A2A874A7267C97CD82C7C2BC7C9D625C1E198A58BD
076CD96C312B2F183DEC38A68DD60FFE596518EEA974BCCBE41F4AB7CACED310
3A79736760F1C6FA69B770760BF3ACC84AB500EAD03F84EAF1CE44AD11809A88
B4313E592164A00AB59784F62CB51209576C33BCEF370F7E8461C1C057739BBC
491AABEA9E7A9F51D18EC3C821DF1AD6D9FED2C22371F23565486C3DB759FE39
B0824197C29C8C4AC90623DC60799BF81DAB8215C1771F808DB7920FE55486E7
038C3C5BBBCDAB31BBFA8D00E774CC6223D5E2F8D7DB4C04A26AF335C948B0D4
BD871F7FD9356F0994C623EC505BB4700E0ADD4910D8F6DB8278925F25DBAA79
39BAD4C0E376D605AFF0EC0D131993288CA127CDF461905A75D9E7DE50E4A7E1
50190546741732B6BF355820DF8A737E421F9CEB1CD8328CC3AC246623977AF7
D678720129E0E8E82006FB66A7CB2653EA77D6E211DE1E6D590CBA852A1C08C9
184F2CC60D379CDF539194A42987DC54E87578BFF39B6BF39C52B16EC10531EA
BDACB73A0C7CD92EE731A4B6F8F6551540915CE5A4C0C68FCEAEBE59435F3E78
9B044FA84252ECBFDD7486BDD081F54B196FA80323BF0AE8CA3BC57F75DA135B
4C0938F5C41B4BEFDE0208455A41A63D9D527700DC716138D704E16EEDBC2492
95638C693B6EF561D8B93EB0FA439869FF7B1A571FDDB0B6FAE0FB9BCF559949
A9B961EF942FF7CE9AC75316D6D233EBE552D6581FA5109C88343C4201CCEF86
26CEFF54E1AA1BDF98442A15B63963807075BDDD50902B7A3B7D110BC90DC3D2
0D33EB8CFB541B67F751B10E957CC2741A2A63E1FC31550C6F1851774D1DD9C1
5D9A00FC60DC326265AFBAAFD1BFB12EFE3D20C17A201E63071D96F8BB2580C0
8592F1ACB4220991FE316E4A18D4C031354D7D6A0053107CEA6B31F322B05B74
1C5B84DA7A2017555C9567369261594CB396D978E1DC9FCD2DC7A9AB92B163B4
3511F87C9C329A57850ED00ED4446B2B84113190ACC39BC13992A434A4DCAE10
0200F993DB59C80C3359B330426C48AAA2AEB66B29E8B41B8A8AB0C3D55070A8
9D00250D503CAA4547F962C5D6A9D1C311D01ED59A3DF54F7A90C0720CB26006
B5E026E87A7C6EBD82B261F4422AE00DBC557A7BE00DFAFAFE250D656B2E0FEA
8D4B237192DB9A5357335120340B919B94EA6F9789A2CFD71DA030E2B375F263
90114CE73C269828B07158876024FBD1100105256E3516D44AAFDF4653A29D87
17FF0F3E8E05B6197E48C42AA48C266781D91CD0AF1D92B9A18D47EB9B685971
C3FB95C9212F02208F0FB37E99E9E172F10921D7F23031A935B84B10930B9602
D52DCC2232B33CE68CF3C8DC3619B581C8D066BA9C795C1D30C28D7B20C5DCE7
1D972689EA3E2201731659DF004525A89F74C2FB8A50838561C4E7D3DD385B91
8151D94F6DA975B81B7BDED9FE6E2D9D65285CDA683269FCF656DE28CC46DA36
C4314D6CF59FF2466EEEB9F0A98AF3C043F4D658BFB73EB3B5DAC24E5754876E
D740E6B128E179ECC0FD8BBF6B7D78A4C9A5E3729C9DA92581F847C22160CE6B
949CDE0AA1CAF2D2D07E0AFD4AD5FEE22FCAEE0170E3A14F4B5B682976635151
1BD9A79C572A7FC93391B512DAF5A65273056206DE4041E73F908CA190429ECC
3457881760B6D41AED11094A13881ED3575B380D831487BB2E708AFEF1D623B7
E721CDB010A772F8E8B41C92F5B860AC343D770D5AB453D5444E7F113A8EA0D7
9E3C035CAA4B0B06475BBD1E06FC7BCB122BED656E13A7315F0A6CCA7952E867
21EB8934826CBE77C7F610D7EDCB7D9065B15BB2FAA76453EB286833B4A872CC
7B931BD99BB4E31141FDB8E6DDAD24AE10AA3620CACDD462E671CD6FE69791DE
5D5C9089243087A051DC214744ABA85ABDA5C680A50DB8CADA19223A2BBF27EF
E19D0E45293AC8F344CEE8FEF57FF7F4AAA60633895B04226C8227F744CE7F55
AC9EE7BA8949027D4E07D5B34C3AA968634EB5AA1CD9F2F35DB5C3D3E3E6D280
74D1C22B35DC4188C6F7709BB5AAEB05AF1644EFE4F6997366D361D8C881D00D
4DD596F96760DBD01499E5845FD8478EAC7D6BEB0319D80D7668D6E5E62E51E4
95AD8DB3BE50F5A7EEC2952DC4FF40A78E6CF90D6CF67096BD60F6AEBA633728
68AF95C9B58CD8A3257960681246423522DC9C8F9B8ED1264E910B545BAE44E1
3CD408C74D35991DECA3C7626E499BFCEC74551E637BAFBED3248077B8B60DFA
F5A82DCB0FC370DC628F9AA5023609ACD047022D8871D27B57A856F8CB1FE4BE
33E52703EFA64485C39A1CAB4C3BCB266FF29C81508557CBE0F9845398F84091
7154A04CCF5506755B863F42459FB2EA5A9E64EDC098DE62625E3E5337259497
00006602C4FA078FE1EACE844DF813DCB634551E5A225BC94D9AC5A9B58D4936
9D9457C79E93115303095F1D3235F6327F00C315114EB0389D0FB7A3E54CE282
51D1A57A660CC69EA8085F829BCB5490432C21654F8081C57173F66529AF2752
83810C41FC0C7A28FEDF398761C87E8ADBD81DBC8E071633E131883FAFC692CC
A08BCEE5AB692FF941885D51824D70B347FE57949C9D3EAE086A42F4E085BF4A
BF68FF62ED8B7F1DF2BA5928E4839AE6787A39B5A12D69198F3D12B30AC3BDC7
E6A9F529B56181800E4BA3CEC9505C383A1CF0365B88AC1365FE8C2D18098915
BB8A2E76450D78319B8DBC05654BCD2BBAD864F8320AC2A2C6AF14A272A541D8
14313BB565C40F5A9B853799907D3581D3CAD989B2830677E5595EF5B3943C05
5B2FE6CA66835315F59AAE9B85C14ED48C4FAFDDC7745DDDA3CFB26706D41BDD
0C5B8FCE4F9028C1B420D04507D46241A44281FE3FBA4E2FC8740EF65A409595
F4E0EBD89B545D707C96BE0F48F1C340C742AF9B576F9AC02A527A168B9A4936
5992AD894599064F775A9EB250778D6FD0698EC47124117F5104958A732F7238
76A19B5E0EE8BBD212ED2A30E55B907245B967A5B213ECEB5A8AFB59327BFBF8
A97C9988317E702838CBA7EA03BAB9064F3A27375B258E1902E675DC77BF9BC0
D5B88F23B532112F40C13AB1CACF6AAD0FBED9E2A6EF8C899C61682BCC4BABD0
8AD4ED90F6B8137861482D6F458331C93E88F302C38ACE013877EB42B177F8A4
F1ECB0370829265E8FC0B8E81075F70A9443055CE9274B841CE6137BE424A73F
6F9EF12DA7B31D343E8B3548881C3AB49C7A2F4201C17D893DF68DD17D1F5F7E
3DEB9B289D38475B19193EB98439A3038077346377B7FCDA71AD64BEF0B9948F
2AF6AC529509592BD76FD54146CE5A2CA8ADB88D3ADA9D4A23A0DA39ED1D3885
D9E632BA0298AE10D8763EC87F483E0BBCB486C30AEB72558EC3BC21464A8A8D
44C79761C90BA9799F7D1047BF54573A68DED04304E54C51ABD2AF91E9B7CDB2
6D640DDFD6BF490789464BA2231AFE048FE7532BD1ADB787C1825C5F8C55412B
02CC6C2C6AC3B48EBEA4A5833D68394977675F668B731445E1166848C4B65B14
1CFEB20193A7FF2C11398BBB10863045206CF39D65279E0F0EB581B2A083794A
C9CBD6F40FCD376ED1D9BDB04F154FA482E0F169843200EF27594A1DD85D3123
0BBD29CE6726564D1A326F8DF07342193CF72DDDD93CD27582F12B179C617BFD
F6046781F87FC336D7B683F1E4AAB9AFD21421569302EB8B52FC312660584FC4
CE3357BA52EDB9838EE7740099FA52B8E7745342AEEE3FF319A774DCD52E5B00
F31D597BE6DEDE724CE109416982B1C00698560C94503ED32D62A1E2BE52F9AC
AA6B4C9F229B29A44CFC8705A26BF4A42960DCA1C4A5013DAF4477278495ABCB
31339FEBBF09F3E568F1BF199E2599DBEDB8FF1F9698CCBFEE56282FBCD254F4
4CA01A51B626909E44B8BC8F1E5EDAC79C72601651C9010CF3BC450E7D918382
2BACA93F490FD08B6B95C367963E810CD148C5961A4CF016944F1A5C91D87641
750BE190263CC11A31CCDDF482087E485F145A845DFF439A1E11DBF108335DFC
D9654A59E031603D1B5311CAA32F2777E445D490E04F6517FD772292FAB41C92
22015D7BF7935A453B45800AB21B2045E3594B8BDA7D159E07CE098744481D0E
1F7CF570B42A0B2A5FDE2E8C18B07916BD56AD29FFB6975CFD757F9867F55986
7DBE7870DC2674C4E0FAB1EC3CB51C10B20D3E6941EF217169EF99B7F6739DE4
9CD3A6A369914EFECF38BF7BA77BB5E8F986EDC4445D1CB41BC088A3442A39D2
ECBB7E395A7A7BDF30EFF2FD762EC36EB0679D50B2D3A5BE6ABF29F78817712A
3369A3E1B3483348B2566E43E855186B3C4D14D59AE3F8017D3D6E1AED8B7FD4
8D963FE37AC222E66441A13E296DA863E831640F43590F9DD086874E232CABD3
136253E68C42BA5D31F6A978A16AF437D6FC037E089F98F9382CEBB710A38A33
88593FD63E7B8A63C379DE86A615AA416021F9AFDD6666949569FD038E7B15A3
46E20589266F944F0F847119B18F7555DCDDB1CF22D2B133974D610080DF1C06
3A201691D9E40E8D334428FA4BB8F6B4B195185FBA1CD8E7CE1CDA34DB5BB5B2
DB6E8B51413C3C21079AC6C635BE8F9A64130422AE11551AAB8C8A74E1EBF1DA
C11CD5B85CC17FF20D78B56FED5005B4163367C5726E187C6B02A966F11AB5DD
F2654692AA32E05AFBF23F90F06B95FF57F23ED9D94CDB8A01FDDC7287B113C0
49D19C3AE480A75B5741693CA2FF40E1BC1382F2CA45409DAA39766FC01E3C07
BB0C44693BD73EDCDD68E69FF9F7908637C881DC8CEE69AE6D47F399442C7A16
3042F5BCC211502F32D1F1A4E9D2852F734B9191358519FD4B289260BAE8739D
12EB21EE18303742508E09BFE0FB648900B5B1C2C2672F73157A3B70A4A36C20
B477ECAA34EA9F010828B17EB82A501BA9BE2E5994A63B82B5689A7456667767
85F6D543DEF015D0F18E64519014C950BB5638E3E15EB648202437F818042705
0DC9380F44503B0498DC86910C5670DC45C7974A93DCD9375E501217430776A0
C025D967828B95460E3AF5E6D738AFC9B43E3C0DFDD33BDD01C6845B79584700
5C05E39D0185A9AA41F16DE7A81EEC10A20887E6BF8C93D03775B8E9FC457AC3
0194513445E4B34D28880D5ED610E5A08712F9C5B978C47A59549D7FCA366EED
E52B3353C2D240C2258C00B9FEBB5C7CA00D1836D11E2719568C2EB845C27A9F
75B85B7D1CBE9CBE1459C2242ED1D0B8DE16F033A1D581CB7EC53333DAD61996
C67AD7C6883EDB7C1B60E0A8DCCF1A0CC1D8B0583BA4914889A16AEAE9E9B967
E252B4124CF981BF65F15C8DBC62827B7EC7632FDB52FEA97B3BE1DD516C3520
99D5B01395DAE3F8A5CD1E065A2927DEF563B5CFA19F02ACE4D7BA92297E1C45
4837423EF7D998AA852D2C85F75EB414AD56A5E9E15330F360DF2D69126633AA
605ED53092A66D98951BADB030CD5ABC16973364CA1823248B71CADA2001707D
7A433EC30F7E937A725DF24C1E84DD48B2EACA8922A63273557CBAE755A32CD1
999836969869F9BD97248ABBA2F848E1B676F0AC9049CA481617A82E63C4AFBC
68B1BA03C1FE6F6367F75AD3D0A8E982E5D492227A5AAEFC6BE9C61F0F725969
B3E205E214D9D876F8089FE59C03E1E78B5EAE0BEE631411F15BD62D18899413
16F6B34F2F53E8EE5E6DC0CBF18AA1D11341C0CC8BE9EFBBEF5A37580B8C116A
031FD86557F29AED111D5C25D7A71B1F4DCBDCDE642854533AD9411E03A13BE2
A741CB22882A0BCAFF4F8E61ACAC240D1751990675FA45E7C0E987A2F897A384
001EEA59E41A4842750FB9F259C4BB699C0C621A01B74562A894D885A18E1674
4CC4AC716E06462B6BBACBDB1D35936B357A006AF60D909E2CC628D885CD25CC
AA2C8AB565F80866B22CF531E2E7C895E8720482C7EBB86558699725512E7889
66E8E04E51D496320FDA902D162E6EF6437D65352966C61E13229D4210EDB549
E03011339EE54BE245B603CC6A308368D045CB5968E8EDE5842729AAD3EAA46C
A7426B7831EECEEE60B65A89ED0E9C677A58E4268639016D00846E9AC5E735F0
08C1362AF3801CACFC6201D4EED80A44B4A543E03A51E31A4DA2A3FC2D860ECA
A1B35EA816F33B054814A48712D996A357C05CCB08EEE6ACB2747FEF2264F902
05770F20CACA3B58569E1C40C929B2446E6114C8D86E08DEC79782E3454BBB9D
F9B6F44DAB10D07E524932DC05232D62BD337C9C1969520C1D36B4D4FC6C8F3E
110BC28533B8D7AC1CCA2215284C581FA45CC898E75F93A4A32263F9C0AFA2F8
1EE0CF3CE43E804B55DA02B04595E9DE6C0E173A69FE14B37A2B779F00B8D15F
49DD16260761A65E351C99B8EF71609CEBE786F93ECCC18E3DFA2C1B38B1A725
472AD0CFA7D7764DDEB4BC06B0BF1653CA2E0F926125777F9C3A2AB5909A3323
FD937836427AC8B6E59F63262FE0D4A2CE5EAF927BDDCC3F366705D3549F0B64
21EA0B14C6BE4344BDA53144E8E918B55B37C8A20B58F398CE2C1462492E17D4
C890C6076EEACFEAFEEABAC4C270D08D4A8BC0D5B79E9B5E2D2AF3C4D7013A5C
04D29057353B4C9E70593336D2F56AC5A615A6264FBE1FF26D77A221C203026F
1CF70E779150059DCE81327034F1570AAC658EEB6122AE9786991D036BD019DB
D2FBEDE983415F17979E883E5D271670D43551827FE88C681DAAF2B88B54061A
232FB48C6E5823427D34B27F999324CBF68C73109E0D849F37E4EE9FE04B25D9
D218DCE91296BD9235CBB6A19447401E2214F4D9E2890840B414720FDAC32A4C
9DB20E6882BEADA0B2551BA966E65FA1C013FBF1668DF2F5DCFE740EECF64202
855B0E650315686358A9650467455AD6692430A3914BABBB553C9874BAA2D5E2
A378E7F1180BCC98BF92F911E2F79052F4B68B53EF3786280BF000D4B1DA599A
2AB26879BD77292A419A52AB3F54A558833ADD3FF626BEA1D491BD4B8AF8AA1D
CA760C6937BB709A11EB01641E55FB51FBE6B8C7EC0D33E371294EF23915244D
6FD7C46CC020C249A9CCCECA7512F116D182858ED060EEB37CD1B663CF344E1B
A81991AC5E0816251D27AD6EF9B789F812BE7BF6C74AC0EA544A3E8EBA415A85
4A1239D2500F232230AB634E6DB4395324B34BE4DFFC1A7FE8C95796B7AA38E2
3C5F56ED7C8B9F1E27267F154405B1ED087B1A60437501E33D6AF930835C6851
22789EF8D4A2E80C17DBB8E30C7847C84D82009BAA06CEEBDBC9BA06BA83315C
0F9241338A907D0619C71DDE6B8560AAF6FC8A8D8230DA12B5CDB5E57893F28D
25B282558F9998E8E822FBDF3E3E51E39C73AF49AD1E81AE405D3A12D3A45756
17BF9A18752D823D1CF689E244CD4A34DEF1FC65A131537F6FEE8920C04B739E
92C38F8966D31F6E85B8D380DA440F7876155AD1C81DA62BD39649F3A324F85D
EA64550336A68E4E0A6E698E660D609ED3D0A95573570DE96219FD6DD7CE3E8E
2D55629C9CF87B898D2F81F17BC4F3EB992163A3A7C2B4828F08C83CCEF8B46F
A8C07FA93BBDDF5936D67A6B00A1568D064766BE43B0D4A31EBE02FF5E8FA73C
C6FA453628554939F292714E9D3135D112BF4AD560E787D2FCA0187453F4DF18
DFEA1AAFDA54318E1EC4AF601C05356B878DFD16363BA6FA4184D8AAB1386BFD
9B9DB38E4A1613A059234BE2BB6AA5D844DD78B8960B93A28D812EF7B1C2B00A
DE7D40865C5DEA3FF911CF03F5EC73955D89CA3262D9F0815E98955E7554A92F
D9495FAA8646AD7B97BF620F357737B828549AD3EAD6C8B17E6BC22B9FE4FF8E
00BE86233CF8B7CC704AB27E037A1D463FE3A2B87AD8DA3A062FF5337E43627D
03F80F8706B097A427E67BDA9C5A2C1F1CE3847B887D227A8A6437273CCEDBCF
C2290987A8CFE4448F19F002B960989E286465FE14854346433147FAF8B3B223
AB97B320F994D7B3788EE3C0D28845CCDAA9C4B2D19CFE0B86F6E7F6A7EF365E
51F02715C6033B32B7DACD27BF2B31CA9B80D5275C666FA169A749D07B0E825C
11F3418F0A5F4DA60F2907CF522C3A5A3C2FAA251158DDBB2EF8EF05DAD7BC26
563023397A44FC9AE9E0C18F416E7556EBDB104AA95C45A3299F5B2F74E51A22
B3E1B82B71C672AE63AD9154A46C1A7F38251125383EFB0A1CEF627BB3B5BAAF
423D49DC6A1C524116F3F2CB2B4821EE779B6551B3A822ED29F6B4132C020F11
DB1C1CECFBB3C4504928FF971D277E6561E6404E6D52B46E4C3FC2FA9641C6FB
9B596FEAB03D28F18FDF4371EF22A7CC024AE4CDB09B4B0F595C314F1BCEB815
7693E864B8029D1875C5
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
cleartomark
%%EndFont 
TeXDict begin 39158280 55380996 1000 600 600 (dbacl.dvi)
@start /Fa 134[35 6[35 2[35 1[35 35 2[35 3[35 35 35 35
35 32[35 17[35 46[{ TeX09fbbfacEncoding ReEncodeFont }13
66.4176 /CMTT8 rf /Fb 175[70 80[{}1 58.1154 /TeX-cmex7
rf /Fc 250[31 4[45{ TeXbbad153fEncoding ReEncodeFont }2
41.511 /CMSY5 rf /Fd 174[45 81[{}1 58.1154 /MSBM7 rf
/Fe 139[24 48[44 67[{ TeXaae443f0Encoding ReEncodeFont }2
49.8132 /CMMI6 rf /Ff 139[44 3[44 3[44 3[44 4[44 1[44
2[44 44 1[44 32[44 14[44 8[44 34[{ TeX09fbbfacEncoding ReEncodeFont }12
83.022 /CMTT10 rf /Fg 152[34 34 9[45 21[48 15[0 3[45
66 19 14[66 14[52 7[52 4[34 1[34 1[20 52{
 TeXbbad153fEncoding ReEncodeFont }15 58.1154 /CMSY7
rf /Fh 150[39 39 2[46 10[46 106 120 5[39 78 88 17[74
1[74 1[74 1[74 20[48 48 66 66 10[44 44 61 1[50 50 6[48
48 4[35 35 38 38{}28 83.022 /CMEX10 rf /Fi 143[69 1[42
2[42 23 2[42 42 7[55 1[55 55 14[57 5[60 10[42 8[55 83
1[65 13[83 7[65 65 2[65 65 4[42 42 8[42 3[23 65{
 TeXbbad153fEncoding ReEncodeFont }25 83.022 /CMSY10
rf /Fj 134[30 33 9[37 51 20 31 24 3[28 34[41 38[28 28[{
 TeXaae443f0Encoding ReEncodeFont }10 41.511 /CMMI5 rf
/Fk 205[28 28 5[43 43[{ TeX0ef0afcaEncoding ReEncodeFont }3
41.511 /CMR5 rf /Fl 133[32 34 38 48 2[25 31 31 3[41 59
21 35 27 23 39 32 32 2[30 29 36 25[52 42 2[48 4[52 2[20
20 26[41 2[31 4[33 1[39 21[{ TeXaae443f0Encoding ReEncodeFont }29
58.1154 /CMMI7 rf /Fm 173[60 65 51 80[{}3 83.022 /MSBM10
rf /Fn 146[55 8[37 2[33 7[49 49 3[47 37 48 5[41 2[24
49 1[43 45 50 47 46 49 3[51 2[19 33 33 33 33 33 33 33
33 33 33 1[19 2[51 1[26 26 34[49 5[{ TeXf7b6d320Encoding ReEncodeFont }
34 58.1154 /CMR7 rf /Fo 134[35 33 47 1[38 24 29 30 1[36
36 40 58 18 1[22 22 36 33 22 33 36 33 33 36 13[40 52
4[64 45 55 1[27 53 55 1[48 54 51 1[53 15[36 36 1[22 26
5[22 26[40 12[{ TeX74afc74cEncoding ReEncodeFont }40
66.4176 /CMTI8 rf /Fp 133[39 41 47 59 40 48 30 39 37
1[42 1[50 73 1[43 34 29 48 40 41 39 43 1[36 44 35 5[57
48 69 5[63 1[53 63 3[71 2[69 65 53 1[69 59 1[62 2[65
42 65 23 23 18[54 5[52 1[52 2[36 47 1[47 1[41 50 48 9[53
11[{ TeXaae443f0Encoding ReEncodeFont }51 83.022 /CMMI10
rf /Fq 133[34 40 39 55 38 45 28 34 35 38 42 42 47 68
21 38 25 25 42 38 25 38 42 38 38 42 9[83 1[62 59 47 2[56
2[74 52 6[56 63 59 1[62 6[25 11[25 30 25 2[34 34 27[47
12[{ TeX74afc74cEncoding ReEncodeFont }44 83.022 /CMTI10
rf /Fr 134[51 51 2[51 49 38 50 53 46 53 51 62 43 2[25
51 53 44 46 52 49 1[51 12[65 1[66 4[82 57 2[34 2[59 62
69 65 64 7[27 8[46 2[27 46[{ TeX0ef0afcaEncoding ReEncodeFont }33
83.022 /CMCSC10 rf /Fs 133[37 44 44 60 44 46 32 33 33
44 46 42 46 69 23 44 25 23 46 42 25 37 46 37 46 42 2[42
23 42 23 51 2[85 62 62 60 46 61 1[57 65 62 76 52 65 1[30
62 65 54 57 63 60 59 62 3[65 1[23 23 42 42 42 42 42 42
42 42 42 42 42 23 28 23 65 1[32 32 23 3[69 42 23 18[69
46 46 48 2[60 2[62 4[52{ TeXf7b6d320Encoding ReEncodeFont }83
83.022 /CMR10 rf /Ft 139[25 5[43 7[34 19[53 2[54 79[{
 TeXaae443f0Encoding ReEncodeFont }5 66.4176 /CMMI8 rf
/Fu 147[23 7[45 36 45 40 97[{ TeXf7b6d320Encoding ReEncodeFont }5
66.4176 /CMBX8 rf /Fv 139[39 30 40 14[39 39 41 31[54
18[21 46[{ TeX0ef0afcaEncoding ReEncodeFont }8 66.4176
/CMCSC10 rf /Fw 132[35 31 37 37 51 37 39 27 28 28 1[39
35 39 59 20 1[22 20 39 35 22 31 39 31 39 35 3[20 1[20
43 53 1[72 53 1[51 39 52 1[48 55 53 65 44 55 36 25 2[46
48 54 51 50 53 5[20 20 35 35 35 35 35 35 35 35 35 35
1[20 24 20 2[27 27 27[39 41 11[{ TeXf7b6d320Encoding ReEncodeFont }67
66.4176 /CMR8 rf /Fx 134[50 2[50 53 37 38 39 50 53 48
53 80 27 50 1[27 1[48 1[44 53 42 53 46 8[72 3[66 53 72
1[65 3[57 2[36 75 75 60 63 73 69 68 72 12[48 48 48 48
2[27 32 32[53 12[{ TeXf7b6d320Encoding ReEncodeFont }42
83.022 /CMBX10 rf end
%%EndProlog
%%BeginSetup
%%Feature: *Resolution 600dpi
TeXDict begin
%%PaperSize: A4
 end
%%EndSetup
%%Page: 1 1
TeXDict begin 1 0 bop 1198 716 a Fx(THE)41 b(DBA)m(CL)i(TEXT)f
(CLASSIFIER)1719 965 y Fw(L.A.)23 b(BREYER)754 1199 y
Fv(Abstra)o(ct.)42 b Fw(This)27 b(is)g(a)h(summary)f(of)h(the)g
(mathematical)h(asp)r(ects)g(of)e(the)i(design)f(of)754
1323 y Fu(dbacl)p Fw(,)34 b(a)e(digramic)f(Ba)n(y)n(esian)i
(classi\014er)e(for)h(text)h(do)r(cumen)n(ts.)57 b Fu(dbacl)32
b Fw(computes)754 1448 y(maxim)n(um)i(\(relativ)n(e\))g(en)n(trop)n(y)h
(mo)r(dels)f(for)e(text)j(corp)r(ora)f(and)g(can)g(compute)i(the)754
1572 y(Ba)n(y)n(esian)26 b(p)r(osterior)f(distribution)f(for)g(a)h(giv)
n(en)h(do)r(cumen)n(t)g(in)f(terms)f(of)h(an)n(y)g(n)n(um)n(b)r(er)754
1697 y(of)h(previously)h(computed)h(mo)r(dels.)38 b(Both)27
b(learning)f(and)h(classifying)f(is)f Ft(O)r Fw(\()p
Ft(n)p Fw(\))i(in)f(the)754 1821 y(n)n(um)n(b)r(er)e(of)g(lines)f(of)g
(the)i(input)f(do)r(cumen)n(ts.)1615 2208 y Fs(1.)41
b Fr(Intr)n(oduction)555 2407 y Fx(dbacl)26 b Fs(is)f(a)f(digramic)g
(Ba)n(y)n(esian)f(classi\014er)g(for)i(text)g(do)r(cumen)n(ts.)36
b(It)25 b(is)g(a)g(command)f(line)456 2557 y(to)r(ol)i(sp)r
(eci\014cally)g(designed)g(to)g(learn)g(features)g(of)g(text)h(corp)r
(ora,)e(b)n(y)h(building)h(a)f Fq(maximum)456 2706 y(entr)l(opy)p
Fs(-t)n(yp)r(e)34 b(mo)r(del)h(in)g(terms)f(of)g(these)h(features.)57
b(F)-7 b(eature)34 b(selection)g(dep)r(ends)h(on)f(the)456
2856 y(curren)n(tly)24 b(selected)h(lo)r(cale,)h(and)f(can)g(b)r(e)h
(sp)r(eci\014ed)g(using)f(regular)f(expressions)f(if)j(required.)456
3005 y(Computed)40 b(mo)r(dels)h(can)f(b)r(e)h(used)f(to)h(calculate)f
(Ba)n(y)n(esian)e(p)r(osterior)h(probabilities)h(for)456
3155 y(unkno)n(wn)32 b(text)i(do)r(cumen)n(ts.)54 b(The)33
b Fx(dbacl)h Fs(man)n(ual)f(page,)h(presen)n(ted)f(at)g(the)g(end)h(of)
f(this)456 3304 y(do)r(cumen)n(t,)24 b(con)n(tains)f(a)g(quic)n(k)g(in)
n(tro)r(duction)g(and)g(some)g(examples)g(of)g(usage.)35
b(The)23 b(purp)r(ose)456 3454 y(of)35 b(this)i(do)r(cumen)n(t)f(is)g
(to)f(explain)h(asp)r(ects)f(of)h(the)h(mathematical)e(design.)61
b(T)-7 b(o)36 b(help)g(the)456 3603 y(reader)23 b(unfamiliar)h(with)i
(Ba)n(y)n(esian)c(theory)-7 b(,)25 b(w)n(e)g(b)r(egin)f(with)i(a)e
(section)h(outlining)f(the)i(main)456 3752 y(probabilistics)g(concepts)
h(in)n(v)n(olv)n(ed.)993 3972 y(2.)41 b Fr(Ba)-6 b(yesian)32
b(text)f(classifica)-6 b(tion)32 b(and)f(decisions)555
4171 y Fs(A)i(text)g(do)r(cumen)n(t)g(can)f(b)r(e)i(view)n(ed)e(as)g(a)
g(v)n(ery)f(long)h(string)g(of)h(c)n(haracters.)50 b(F)-7
b(rom)32 b(the)456 4320 y(statistical)e(p)r(ersp)r(ectiv)n(e,)i(the)f
(c)n(haracters)e(whic)n(h)i(form)g(the)g(w)n(ords)f(and)h(sen)n(tences)
g(do)f(not)456 4470 y(o)r(ccur)21 b(randomly)-7 b(,)23
b(but)g(ob)r(ey)f(probabilistic)g(la)n(ws)g(whic)n(h)g(go)n(v)n(ern)e
(the)j(app)r(earance)e(of)i(a)f(c)n(har-)456 4619 y(acter,)28
b(giv)n(en)f(the)i(sequence)f(of)g(c)n(haracters)e(immediately)j
(preceding)f(it.)40 b(Suc)n(h)28 b(mo)r(dels)g(are)456
4769 y(called)21 b Fp(n)p Fs(-gram)f(c)n(haracter)g(mo)r(dels,)j(where)
f Fp(n)g Fs(refers)f(to)h(the)g(n)n(um)n(b)r(er)g(of)g(relev)-5
b(an)n(t)21 b(c)n(haracters)p 456 4843 499 4 v 555 4966
a Fo(Date)5 b Fw(:)23 b(Octob)r(er,)h(2002;)g(Revised)g(No)n(v)n(em)n
(b)r(er)h(2002,)f(Ma)n(y)-6 b(,)23 b(June)i(2004.)555
5090 y(1991)i Fo(Mathematics)f(Subje)l(ct)f(Classi\014c)l(ation.)37
b Fw(Primary)22 b(60J,)i(Secondary)h(60F.)555 5215 y
Fo(Key)g(wor)l(ds)i(and)g(phr)l(ases.)37 b Fw(SP)-6 b(AM,)23
b(Ba)n(y)n(es)h(theorem,)g(email,)f(Maxim)n(um)g(en)n(trop)n(y)-6
b(.)1933 5315 y Fn(1)p eop end
%%Page: 2 2
TeXDict begin 2 1 bop 456 251 a Fn(2)1245 b(L.A.)22 b(BREYER)456
450 y Fs(in)i(the)g(mo)r(del.)35 b Fx(dbacl)24 b Fs(uses)g(a)f
Fq(digr)l(am)i Fs(mo)r(del,)f(so)f(that)h(eac)n(h)f(c)n(haracter)f(is)h
(predicted)h(based)456 600 y(on)h(its)h(immediate)f(predecessor.)35
b(A)26 b Fq(trigr)l(am)f Fs(mo)r(del)h(w)n(ould)f(dep)r(end)i(on)e(the)
h(previous)e(t)n(w)n(o,)456 749 y(but)k(requires)e(m)n(uc)n(h)h(more)g
(memory)-7 b(.)555 898 y(A)31 b(text)h(do)r(cumen)n(t)f(can)f(also)g(b)
r(e)h(view)n(ed)f(as)g(a)h(v)n(ery)e(long)h(string)g(of)h(w)n(ords.)45
b(The)31 b(same)456 1048 y(statistical)23 b(ideas)h(apply)g(here)f(to)r
(o.)36 b(Shannon)23 b(\(1948\))g(describ)r(ed)h(sev)n(eral)e(examples)i
(of)g(suc)n(h)456 1197 y(mo)r(dels)j(for)f(English)g(text.)38
b(Since)27 b(eac)n(h)f(p)r(ossible)h(w)n(ord)f(is)h(treated)f(lik)n(e)h
(a)g(c)n(haracter)e(in)i(the)456 1347 y(c)n(haracter)c(based)i(mo)r
(dels,)g(this)h(can)f(b)r(e)h(view)n(ed)f(as)f(a)h(c)n(haracter)f
(based)g(mo)r(del)i(with)g(a)f(v)n(ery)456 1496 y(large)j(alphab)r(et.)
42 b(Practically)-7 b(,)29 b(these)g(t)n(w)n(o)g(t)n(yp)r(es)h(of)f(mo)
r(dels)g(are)g(v)n(ery)f(di\013eren)n(t,)j(ho)n(w)n(ev)n(er,)456
1646 y(b)r(ecause)18 b(individual)g(c)n(haracters)f(o)r(ccur)h(so)f
(frequen)n(tly)i(that)g(statistics)f(are)f(easy)h(to)g(estimate,)456
1795 y(while)30 b(individual)h(w)n(ords)e(are)g(comparativ)n(ely)f
(rare.)44 b(More)29 b(precisely)-7 b(,)30 b(w)n(ord)g(distributions)456
1944 y(tend)25 b(to)g(follo)n(w)f(a)h(p)r(o)n(w)n(er)e(la)n(w,)i(and)g
(when)g(classifying)f(an)h(unkno)n(wn)f(do)r(cumen)n(t,)i(it)f(is)g
(lik)n(ely)456 2094 y(to)i(con)n(tain)g(w)n(ords)f(whic)n(h)i(ha)n(v)n
(e)e(nev)n(er)h(o)r(ccurred)f(in)i(the)g(learning)f(corpus.)555
2243 y(Go)r(o)r(d)g(text)f(classi\014cation)f(algorithms)g(m)n(ust)i
(therefore)e(b)r(e)i(able)f(to)g(predict)g(new)h(w)n(ords)456
2393 y(at)35 b(the)g(same)g(time)g(as)g(w)n(eigh)f(existing)h(w)n(ords)
f(when)h(comparing)f(do)r(cumen)n(ts.)59 b(Supp)r(ose)456
2542 y(that)28 b(w)n(e)g(can)f(build)i(a)f(probabilistic)f(mo)r(del)h
(for)g(the)g(con)n(ten)n(ts)g(of)g(an)f(existing)h(text)g(corpus)456
2692 y Fp(C)6 b Fs(.)75 b(This)41 b(will)f(b)r(e)h(represen)n(ted)e(b)n
(y)i(a)f(probabilit)n(y)f(measure)g Fm(P)2606 2704 y
Fl(C)2702 2692 y Fs(on)h(strings,)j(whic)n(h)e(is)456
2841 y(concen)n(trated)26 b(on)h(strings)g(similar)g(to)g(those)h
(found)f(in)h Fp(C)6 b Fs(.)555 2991 y(The)26 b(maxim)n(um)f(en)n(trop)
n(y)f(formalism)h(allo)n(ws)f(the)i(construction)e(of)i(v)n(ery)e
(general)g(proba-)456 3140 y(bilit)n(y)j(measures,)g(b)n(y)g(selecting)
g(a)h(set)f(of)h(in)n(teresting)f Fq(fe)l(atur)l(es)g
Fs(of)h(the)g(learning)f(corp)r(ora)e(as)456 3289 y(represen)n(tativ)n
(e)g(\(Berger)h(et)i(al,)g(1996;)d(Della)j(Pietra)e(et)i(al,)g(1997\).)
555 3439 y(Supp)r(ose)19 b(w)n(e)f(ha)n(v)n(e)g(constructed)g
(probabilit)n(y)g(mo)r(dels)h Fm(P)2345 3451 y Fl(C)2393
3459 y Fk(1)2429 3439 y Fs(,)h(.)14 b(.)g(.)g(,)21 b
Fm(P)2678 3451 y Fl(C)2726 3460 y Fj(k)2784 3439 y Fs(for)e(a)f(set)h
(of)g(corp)r(ora)456 3588 y Fp(C)515 3600 y Fn(1)552
3588 y Fp(;)14 b(:)g(:)g(:)g(;)g(C)796 3600 y Fl(k)837
3588 y Fs(.)40 b Fq(A)30 b(priori)p Fs(,)h(w)n(e)d(assume)g(that)h(the)
g(new)f(do)r(cumen)n(ts)h(w)n(e)f(wish)g(to)h(classify)f(arise)456
3738 y(from)37 b(category)e(1)k Fi(\024)g Fp(j)44 b Fi(\024)39
b Fp(k)i Fs(with)d(probabilit)n(y)e Fp(\031)2137 3750
y Fl(j)2172 3738 y Fs(.)67 b(These)37 b(probabilities)f(m)n(ust)i
(satisfy)456 3825 y Fh(P)543 3845 y Fl(k)543 3912 y(j)s
Fn(=1)676 3887 y Fp(\031)723 3899 y Fl(j)786 3887 y Fs(=)27
b(1.)45 b(F)-7 b(or)30 b(equally)f(lik)n(ely)h(categories)f(\(represen)
n(ting)g(total)h(ignorance)e(a)i(priori\),)456 4037 y(w)n(e)d(w)n(ould)
g(tak)n(e)g Fp(\031)1047 4049 y Fl(j)1105 4037 y Fs(=)c(1)p
Fp(=k)29 b Fs(for)e(all)h Fp(j)5 b Fs(.)555 4186 y(Let)38
b Fp(s)g Fs(b)r(e)h(the)f(string)f(corresp)r(onding)f(to)i(an)g(unkno)n
(wn)f(text)i(do)r(cumen)n(t)f(w)n(e)g(wish)g(to)456 4336
y(classify)-7 b(.)60 b(The)36 b Fq(a)h(p)l(osteriori)h
Fs(probabilit)n(y)d(that)h Fp(s)f Fs(arises)f(from)i(the)g(probabilit)n
(y)f(measure)456 4485 y Fm(P)507 4497 y Fl(C)555 4505
y Fj(j)617 4485 y Fs(\(i.e.)28 b(is)f(most)h(similar)f(to)g(the)h(do)r
(cumen)n(ts)g(in)f Fp(C)2158 4497 y Fl(j)2194 4485 y
Fs(\),)h(is)f(giv)n(en)g(b)n(y)g(Ba)n(y)n(es')f(theorem)h(as)456
4779 y(\(1\))502 b Fm(P)1115 4711 y Fh(\000)1152 4779
y Fp(C)1211 4791 y Fl(j)1261 4779 y Fi(j)14 b Fp(s)1337
4711 y Fh(\001)1398 4779 y Fs(=)22 b Fp(K)1562 4744 y
Fg(\000)p Fn(1)1651 4779 y Fm(P)1702 4791 y Fl(C)1750
4799 y Fj(j)1784 4779 y Fs(\()p Fp(s)p Fs(\))p Fp(\031)1934
4791 y Fl(j)1970 4779 y Fp(;)180 b(K)29 b Fs(=)2402 4675
y Fl(k)2360 4700 y Fh(X)2363 4877 y Fl(j)s Fn(=1)2494
4779 y Fm(P)2545 4791 y Fl(C)2593 4799 y Fj(j)2627 4779
y Fs(\()p Fp(s)p Fs(\))p Fp(\031)2777 4791 y Fl(j)2813
4779 y Fp(:)456 5066 y Fs(Note)i(that)h(this)f(assumes)g(that)h
Fp(s)f Fs(m)n(ust)h(b)r(e)f(compared)g(only)g(to)g(the)h(corp)r(ora)d
Fp(C)3099 5078 y Fn(1)3137 5066 y Fp(;)14 b(:)g(:)g(:)f(;)h(C)3380
5078 y Fl(k)3421 5066 y Fs(.)456 5216 y(The)21 b(normalizing)f(constan)
n(t)g Fp(K)27 b Fs(do)r(es)21 b(not)g(allo)n(w)f(for)h(other)g(c)n
(hoices,)g(i.e.)h(unclassi\014able)e(text.)p eop end
%%Page: 3 3
TeXDict begin 3 2 bop 1428 251 a Fn(THE)30 b(DBA)n(CL)g(TEXT)f
(CLASSIFIER)939 b(3)456 450 y Fs(Suc)n(h)32 b(a)f(generalization)f(is)i
(p)r(ossible)f(b)n(y)h(mo)r(difying)g Fp(K)6 b Fs(,)32
b(to)g(accoun)n(t)f(for)g(other)h(categories)456 600
y(not)27 b(directly)h(mo)r(delled,)f(but)i(this)f(will)f(not)h(b)r(e)g
(discussed)f(here.)555 749 y(The)38 b(simplest)g(decision)f(pro)r
(cedure)f(for)h(classi\014cation)g(is)g(the)h(follo)n(wing:)56
b Fq(say)40 b(that)e Fp(s)456 898 y Fq(r)l(esembles)i(c)l(ate)l(gory)g
Fp(C)1228 910 y Fl(j)1303 898 y Fq(if)g(the)g(c)l(onditional)h(pr)l(ob)
l(ability)h Fm(P)p Fs(\()p Fp(C)2529 910 y Fl(j)2578
898 y Fi(j)14 b Fp(s)p Fs(\))39 b Fq(is)h(gr)l(e)l(atest)p
Fs(.)68 b(This)39 b(is)456 1048 y(kno)n(wn)27 b(as)f(the)i(MAP)g
(\(Maxim)n(um)g(A)g(P)n(osteriori\))d(estimate.)555 1197
y(More)g(generally)-7 b(,)24 b(w)n(e)h(can)g(in)n(tro)r(duce)g(a)f
(loss)h(function)h Fi(L)p Fs([)p Fp(i;)14 b(j)5 b Fs(])25
b(whic)n(h)g(represen)n(ts)f(the)h(loss)456 1347 y(incurred)30
b(when)h Fp(s)f Fs(is)h(misclassi\014ed)f(as)g(resem)n(bling)g
Fp(C)2219 1359 y Fl(j)2254 1347 y Fs(,)i(when)f(in)g(actual)f(fact)h
(it)g(ough)n(t)g(to)456 1496 y(resem)n(ble)d Fp(C)856
1508 y Fl(i)884 1496 y Fs(.)43 b(Supp)r(ose)29 b(w)n(e)g(pic)n(k)g(an)n
(y)g(decision)g(rule)g Fp(w)j Fs(to)e(do)f(the)h(classi\014cation,)e
(so)h(that)456 1646 y(if)g Fp(s)f Fs(is)h(an)f(unkno)n(wn)g(text)h(do)r
(cumen)n(t,)g Fp(w)r Fs(\()p Fp(s)p Fs(\))d(=)f Fp(j)33
b Fs(means)28 b(that)h Fp(s)g Fs(arises)e(from)h(category)f
Fp(C)3409 1658 y Fl(j)456 1795 y Fs(under)i(this)h(rule.)43
b(The)30 b(b)r(est)g(decision)f(according)f(to)i(Ba)n(y)n(esian)e
(Theory)g(o)r(ccurs)h(when)h(the)456 1944 y(exp)r(ected)24
b(p)r(osterior)e(loss)h(is)h(minimized:)36 b Fq(say)27
b(that)f Fp(s)g Fq(r)l(esembles)h(c)l(ate)l(gory)g Fp(C)2929
1956 y Fl(j)2991 1944 y Fq(if)g Fp(w)3127 1956 y Fg(\003)3166
1944 y Fs(\()p Fp(s)p Fs(\))c(=)g Fp(j)5 b Fq(,)456 2094
y(wher)l(e)30 b Fp(w)749 2106 y Fg(\003)817 2094 y Fq(minimizes)h(the)f
(exp)l(e)l(cte)l(d)g(p)l(osterior)h(loss)f(over)g(al)t(l)h(p)l(ossible)
g(de)l(cision)h(rules:)1313 2329 y Fp(w)1372 2341 y Fg(\003)1434
2329 y Fs(=)22 b(arg)14 b(min)1696 2379 y Fl(w)1846 2225
y(k)1804 2250 y Fh(X)1810 2427 y Fl(i)p Fn(=1)1938 2329
y Fi(L)p Fs([)p Fp(i;)g(w)r Fs(\()p Fp(s)p Fs(\)])p Fm(P)p
Fs(\()p Fp(C)2413 2341 y Fl(i)2456 2329 y Fi(j)g Fp(s)p
Fs(\))p Fp(:)555 2559 y Fs(The)24 b(simplest)h(example)e(o)r(ccurs)g
(when)i(there)e(are)g(only)h(t)n(w)n(o)f(categories,)g(and)h(there)g
(is)g(no)456 2709 y(loss)k(incurred)h(for)g(correct)f
(classi\014cations)f(\(i.e.)j Fi(L)p Fs([1)p Fp(;)14
b Fs(1])25 b(=)h Fi(L)p Fs([2)p Fp(;)14 b Fs(2])25 b(=)h(0\).)42
b(In)29 b(this)h(case,)f(the)456 2858 y(optimal)e(Ba)n(y)n(esian)f
(classi\014cation)g(pro)r(cedure)g(is)i(giv)n(en)f(b)n(y:)703
3065 y Fq(Say)j(that)g Fp(s)g Fq(r)l(esembles)g(c)l(ate)l(gory)g
Fp(C)1853 3077 y Fn(1)1921 3065 y Fq(if)g(and)h(only)f(if)2487
3009 y Fm(P)2538 3021 y Fl(C)2586 3029 y Fk(1)2622 3009
y Fs(\()p Fp(s)p Fs(\))p 2487 3046 239 4 v 2487 3122
a Fm(P)2538 3134 y Fl(C)2586 3142 y Fk(2)2622 3122 y
Fs(\()p Fp(s)p Fs(\))2758 3065 y Fi(\025)2856 3009 y
Fp(\031)2903 3021 y Fn(2)2940 3009 y Fi(L)p Fs([2)p Fp(;)14
b Fs(1])p 2856 3046 308 4 v 2856 3122 a Fp(\031)2903
3134 y Fn(1)2940 3122 y Fi(L)p Fs([1)p Fp(;)g Fs(2])3174
3065 y Fp(:)555 3273 y Fs(Note)32 b(that)f Fx(dbacl)h
Fs(calculates)f(only)g(the)g(conditional)g(probabilities)g
Fm(P)p Fs(\()p Fp(C)2966 3285 y Fl(j)3015 3273 y Fi(j)14
b Fp(s)p Fs(\))31 b(for)g(eac)n(h)456 3422 y(learned)24
b(category)f Fp(C)1135 3434 y Fl(j)1170 3422 y Fs(,)j(more)e(general)f
(decisions)h(with)i(arbitrary)d Fq(a)k(priori)g Fs(probabilities)d
Fp(\031)3409 3434 y Fl(j)456 3572 y Fs(and)j(loss)g(matrices)g(can)g
(easily)g(b)r(e)h(p)r(erformed)f(b)n(y)g(a)g(wrapp)r(er)g(script.)555
3721 y(The)36 b(equation)f(\(1\))h(breaks)e(do)n(wn)h(when)h(there)f
(is)h(a)f(single)g(category)f Fp(C)42 b Fs(=)36 b Fp(C)3176
3733 y Fn(1)3250 3721 y Fs(to)f(b)r(e)456 3871 y(classi\014ed.)64
b(In)n(tuitiv)n(ely)-7 b(,)39 b Fx(dbacl)e Fs(should)g(still)g(measure)
f(ho)n(w)g(w)n(ell)h(the)g(string)f Fp(s)h Fs(\014ts)g(this)456
4020 y(single)27 b(category)-7 b(.)555 4169 y(One)25
b(p)r(ossible)g(approac)n(h)f(is)h(to)h(simply)f(output)h(the)g
(probabilit)n(y)e(of)i Fp(s)f Fs(under)g(the)h(mo)r(del,)456
4319 y(i.e.)c Fm(P)635 4331 y Fl(C)690 4319 y Fs(\()p
Fp(s)p Fs(\).)36 b(Ho)n(w)n(ev)n(er,)21 b(in)h(case)g(of)g(strings)f
(consisting)g(of)h(more)f(than)h(a)g(few)g(c)n(haracters)e(only)-7
b(,)456 4468 y(this)20 b(is)f(v)n(ery)g(unlik)n(ely)g(to)h(b)r(e)g
(useful,)i(since)e(b)n(y)f(the)h Fq(c)l(onc)l(entr)l(ation)j(of)g(me)l
(asur)l(e)d Fs(phenomenon,)456 4618 y Fm(P)507 4630 y
Fl(C)590 4618 y Fs(is)27 b(highly)h(concen)n(trated)e(around)h(the)h
(string)f Fp(C)6 b Fs(,)28 b(lea)n(ving)e(essen)n(tially)h(zero)g
(probabilit)n(y)456 4767 y(mass)f(for)i(most)f(other)g(t)n(yp)r(es)h
(of)f(strings.)555 4917 y(It)33 b(is)f(p)r(ossible)g(to)g(factorize)f
(the)i(output)g(score)e(as)h(a)f(pro)r(duct)i(of)f(the)h(do)r(cumen)n
(t)f(com-)456 5066 y(plexit)n(y)f(\(i.e.)h(n)n(um)n(b)r(er)f(of)g
(recognized)f(feature)h(tok)n(ens)f(in)i(the)f(do)r(cumen)n(t\),)i(and)
e(the)h Fq(cr)l(oss)456 5216 y(entr)l(opy)23 b Fs(of)f(the)h(mo)r(del,)
g(whic)n(h)g(measures)e(the)i(a)n(v)n(erage)c(n)n(um)n(b)r(er)j(of)h
(bits)g(p)r(er)f(salien)n(t)g(feature)p eop end
%%Page: 4 4
TeXDict begin 4 3 bop 456 251 a Fn(4)1245 b(L.A.)22 b(BREYER)456
450 y Fs(required,)i(if)g(w)n(e)g(compress)f(the)i(string)e
Fp(s)h Fs(with)h(an)f(optimal)g(co)r(de)g(based)g(on)g(the)h
(probabilit)n(y)456 600 y(measure)h Fm(P)830 612 y Fl(C)886
600 y Fs(.)37 b(The)27 b(details)h(are)e(describ)r(ed)i(in)g(Section)f
(8.)555 749 y(A)41 b(re\014nemen)n(t)g(of)g(this)g(idea,)j(describ)r
(ed)c(in)h(Section)g(9.3,)i(consists)d(in)i(outputting)f(a)456
898 y(con\014dence)25 b(in)g(the)h(n)n(ull)f(h)n(yp)r(othesis)g(that)g
(the)h(do)r(cumen)n(t)g(b)r(elongs)e(to)h(the)h(category)-7
b(,)24 b(based)456 1048 y(on)i(the)h(observ)n(ed)e(v)-5
b(alue)27 b(of)g(the)g(score.)35 b(This)27 b(approac)n(h)d(w)n(orks)h
(ev)n(en)i(when)f(there)h(is)g(only)f(a)456 1197 y(single)f(category)-7
b(.)35 b Fx(dbacl)26 b Fs(can)g(output)h(a)e(con\014dence)h(p)r(ercen)n
(tage)f(related)h(to)g(the)g(empirical)456 1347 y(distribution)35
b(of)g(training)g(do)r(cumen)n(ts.)60 b(This)35 b(p)r(ercen)n(tage)f
(is)h(high)g(when)h(the)f(do)r(cumen)n(t)456 1496 y(score)c(is)i(close)
g(to)g(the)g(empirical)g(mo)r(del)g(scores,)g(and)g(lo)n(w)g(for)f(un)n
(t)n(ypical)h(scores,)g(th)n(us)g(it)456 1646 y(can)27
b(b)r(e)h(view)n(ed)f(as)g(a)g(con\014dence)g(for)g Fq(ac)l(c)l(epting)
i Fs(the)f(n)n(ull)g(h)n(yp)r(othesis.)555 1795 y(An)c(imp)r(ortan)n(t)
e(prop)r(ert)n(y)g(of)h(this)g(con\014dence)g(v)-5 b(alue)22
b(is)h(that)g(it)h(is)e(uniformly)h(distributed)456 1944
y(when)29 b(the)g(n)n(ull)g(h)n(yp)r(othesis)g(applies)f(for)h(the)g
(giv)n(en)f(do)r(cumen)n(t,)i(so)e(it)h(can)g(b)r(e)g(view)n(ed)g(as)f
(a)456 2094 y Fq(p-value)c Fs(for)g(the)g(purp)r(ose)g(of)g(Fisher's)f
Fp(\037)1756 2064 y Fn(2)1817 2094 y Fs(test.)36 b(This)24
b(test)h(allo)n(ws)d(an)i(easy)f(w)n(a)n(y)g(of)h(deciding)456
2243 y(whether)h(a)g(do)r(cumen)n(t)h(b)r(elongs)f(to)g(some)g
(collection)g(of)h(categories:)33 b(Let)26 b Fp(p)2884
2255 y Fn(1)2921 2243 y Fp(;)14 b(:)g(:)g(:)g(;)g(p)3148
2255 y Fl(n)3218 2243 y Fs(b)r(e)26 b(the)456 2393 y(con\014dence)h(in)
h(the)f(computed)h(score)e(for)h(categories)f Fp(C)2257
2405 y Fn(1)2294 2393 y Fp(;)14 b(:)g(:)g(:)g(;)g(C)2538
2405 y Fl(n)2611 2393 y Fs(resp)r(ectiv)n(ely)27 b(\(con)n(v)n(erted)
456 2542 y(to)37 b(a)h(real)e(n)n(um)n(b)r(er)i(in)g([0)p
Fp(;)14 b Fs(1]\),)40 b(and)d(assume)g(that)i(the)f(mo)r(dels)f(for)h
(eac)n(h)f(category)e(w)n(ere)456 2692 y(constructed)27
b(from)g(indep)r(enden)n(t)h(data,)g(then)g(b)n(y)f(Fisher's)g(theorem)
456 2910 y(\(2\))945 b Fp(Y)42 b Fs(=)23 b Fi(\000)p
Fs(2)1844 2806 y Fl(n)1805 2831 y Fh(X)1811 3008 y Fl(i)p
Fn(=1)1938 2910 y Fs(log)14 b Fp(p)2101 2922 y Fl(i)2152
2910 y Fi(\030)22 b Fp(\037)2291 2875 y Fn(2)2291 2930
y(2)p Fl(n)2370 2910 y Fp(;)456 3148 y Fs(and)37 b(the)i(resulting)e
(quan)n(tit)n(y)h Fp(p)p Fs(\()p Fp(Y)19 b Fs(\))40 b(=)g
Fm(P)p Fs(\()p Fp(\037)1929 3118 y Fn(2)1929 3169 y(2)p
Fl(n)2048 3148 y Fi(\024)g Fp(Y)19 b Fs(\))38 b(measures)f(the)h
(con\014dence)g(in)g(the)456 3298 y(v)-5 b(alidit)n(y)27
b(of)h(the)g(comp)r(ound)f(h)n(yp)r(othesis.)1286 3525
y(3.)41 b Fr(Digramic)32 b(reference)h(measure)555 3724
y Fs(F)-7 b(or)24 b(a)f(giv)n(en)h(text)g(corpus)f Fp(C)6
b Fs(,)25 b(the)g(core)e(of)h(the)h(mo)r(del)f(for)f
Fp(C)31 b Fs(constructed)23 b(b)n(y)h Fx(dbacl)h Fs(is)f(a)456
3873 y(digramic)i(reference)h(measure)f Fp(R)1532 3885
y Fl(C)1616 3873 y Fs(on)h(tok)n(ens.)36 b(The)28 b(measure)e
Fp(R)2579 3885 y Fl(C)2635 3873 y Fs(,)i(as)f(its)g(name)h(suggests,)
456 4023 y(is)h(de\014ned)g(in)h(terms)f(of)g(digrams,)f(i.e.)i(pairs)e
(of)h(consecutiv)n(e)f Fq(char)l(acters)j Fs(app)r(earing)d(in)h
Fp(C)6 b Fs(.)456 4172 y(This)22 b(measure)f(is)i(used)f(to)h(assign)e
(a)h(baseline)g(probabilit)n(y)f(to)i(ev)n(ery)e(v)-5
b(alid)22 b(tok)n(en)g(\(c)n(haracter)456 4322 y(string\),)30
b(as)g(follo)n(ws:)41 b(if)30 b Fp(t)g Fs(is)g(a)g(tok)n(en)g(with)g(c)
n(haracter)f(length)h Fp(k)s Fs(,)h(w)n(e)e(write)h Fp(t)e
Fs(=)f Fp(t)3122 4291 y Fn(1)3159 4322 y Fp(t)3189 4291
y Fn(2)3240 4322 y Fp(:)14 b(:)g(:)g(t)3381 4291 y Fl(k)3421
4322 y Fs(,)456 4471 y(where)27 b(eac)n(h)f Fp(t)912
4441 y Fl(j)975 4471 y Fs(is)i(a)f(c)n(haracter.)35 b(Then)1157
4688 y Fp(R)1220 4700 y Fl(C)1276 4688 y Fs(\()p Fp(t)p
Fs(\))24 b(=)e Fp(p)1523 4700 y Fl(C)1579 4688 y Fs(\()p
Fi(\005)p Fp(;)14 b(t)1720 4654 y Fn(1)1757 4688 y Fs(\))1789
4596 y Fh(\020)1874 4584 y Fl(k)1840 4609 y Fh(Y)1839
4786 y Fl(i)p Fn(=1)1960 4688 y Fp(p)2002 4700 y Fl(C)2058
4688 y Fs(\()p Fp(t)2120 4654 y Fl(i)2148 4688 y Fp(;)g(t)2215
4654 y Fl(i)p Fn(+1)2326 4688 y Fs(\))2358 4596 y Fh(\021)2408
4688 y Fp(p)2450 4700 y Fl(C)2506 4688 y Fs(\()p Fp(t)2568
4654 y Fl(k)2609 4688 y Fp(;)g Fi(\005)p Fs(\))p Fp(;)456
4917 y Fs(where)27 b Fi(\005)g Fs(is)g(a)h(sym)n(b)r(ol)f(nev)n(er)f
(app)r(earing)h(in)g(the)h(alphab)r(et.)555 5066 y(The)e(c)n(hoice)f
(of)h(appropriate)f(conditional)g(probabilities)g Fp(p)2452
5078 y Fl(C)2508 5066 y Fs(\()p Fi(\001)p Fp(;)14 b Fi(\001)p
Fs(\))27 b(is)f(a)f(problem)h(in)g(itself.)456 5216 y(Since)h(v)n
(ersion)f(1.8,)h Fx(dbacl)h Fs(o\013ers)f(sev)n(eral)f(alternativ)n
(es,)g(among)h(them)p eop end
%%Page: 5 5
TeXDict begin 5 4 bop 1428 251 a Fn(THE)30 b(DBA)n(CL)g(TEXT)f
(CLASSIFIER)939 b(5)661 450 y Fi(\017)41 b Fq(Dirichlet)p
Fs(:)j(The)30 b(conditional)g(probabilities)f Fp(p)2251
462 y Fl(C)2307 450 y Fs(\()p Fi(\001)p Fp(;)14 b Fi(\001)p
Fs(\))31 b(are)e(estimated)h(from)g(a)g(hier-)744 600
y(arc)n(hical)c(Diric)n(hlet)i(mo)r(del)g(\(MacKa)n(y)e(and)h(P)n(eto,)
g(1995\):)1448 809 y Fp(p)1490 821 y Fl(C)1546 809 y
Fs(\()p Fp(u;)14 b(v)s Fs(\))23 b(=)1859 753 y(#\()p
Fp(v)s Fi(j)p Fp(u)p Fs(\))c(+)f Fp(\013\026)p Fs(\()p
Fp(v)s Fs(\))p 1859 790 561 4 v 1871 804 a Fh(P)1958
891 y Fl(r)2008 866 y Fs(#\()p Fp(r)r Fi(j)p Fp(u)p Fs(\))i(+)e
Fp(\013)2429 809 y(;)744 1019 y Fs(where)29 b Fp(\026)g
Fs(is)g(a)g(probabilit)n(y)f(measure)g(and)h Fp(\013)d(>)g
Fs(0,)j(represen)n(ting)e(the)j(maxim)n(um)f(a)744 1169
y(p)r(osteriori)g(estimate)i(of)f(the)g(Diric)n(hlet)h(parameters,)e
(and)h(#\()p Fp(r)r Fi(j)p Fp(u)p Fs(\))i(is)e(the)h(n)n(um)n(b)r(er)
744 1318 y(of)41 b(times)g(c)n(haracter)e Fp(r)k Fs(o)r(ccurs)d(in)h
Fp(C)47 b Fs(immediately)41 b(preceded)f(b)n(y)g(c)n(haracter)f
Fp(v)s Fs(.)744 1468 y(The)c(pro)r(cedure)e(for)g(estimating)h
Fp(\013)h Fs(and)f Fp(\026)g Fs(follo)n(ws)f(the)i(approac)n(h)d(tak)n
(en)i(in)g(the)744 1617 y(previously)27 b(men)n(tioned)g(pap)r(er.)661
1767 y Fi(\017)41 b Fq(Maxent)p Fs(:)68 b(The)43 b(conditionals)f(are)g
(computed)h(b)n(y)f(maximizing)h(en)n(trop)n(y)-7 b(.)82
b(This)744 1916 y(metho)r(d)33 b(is)g(virtually)e(iden)n(tical)h(to)h
(that)f(discussed)g(in)h(later)f(sections,)h(replacing)744
2065 y(tok)n(ens)27 b(with)h(digrams,)f(so)g(w)n(on't)g(b)r(e)h
(detailed)f(here.)661 2215 y Fi(\017)41 b Fq(Uniform)p
Fs(:)d(The)28 b(conditionals)e(are)h(c)n(hosen)g(uniformly)-7
b(,)27 b(i.e.)1423 2425 y Fp(p)1465 2437 y Fl(C)1521
2425 y Fs(\()p Fp(u;)14 b(v)s Fs(\))23 b(=)g(1)p Fp(=)14
b Fi(j)o Fs(alphab)r(et)27 b(size)p Fi(j)14 b Fp(:)744
2635 y Fs(While)27 b(the)f(resulting)g(reference)f(measure)g(do)r
(esn't)h(dep)r(end)h(on)e(the)i(data)e(at)h(all,)g(it)744
2784 y(has)j(some)f(in)n(teresting)h(prop)r(erties)f(in)h(practice:)39
b(Firstly)-7 b(,)29 b(it)h(do)r(esn't)f(bias)g Fq(against)744
2934 y Fs(nonsensical)e(tok)n(ens,)g(whic)n(h)h(are)f(often)i(delib)r
(erately)e(inserted)h(in)g(junk)h(mail,)f(and)744 3083
y(secondly)-7 b(,)23 b(when)f(used)g(consisten)n(tly)g(for)f(all)h(mo)r
(dels,)h(it)g(automatically)e Fq(limits)i Fs(clas-)744
3233 y(si\014cations)e(within)h(the)g(v)n(o)r(cabulary)d(app)r(earing)i
(in)h(the)f(training)g(corp)r(ora,)g(b)r(ecause)744 3382
y(an)n(y)27 b(unkno)n(wn)g(tok)n(ens)g(obtain)g(the)h(same)f(reference)
g(measure)g(in)g(all)h(mo)r(dels.)555 3552 y(There)f(are)g(t)n(w)n(o)g
(further)g(p)r(oin)n(ts)h(w)n(orth)f(men)n(tioning)g(brie\015y:)661
3721 y Fi(\017)41 b Fs(By)20 b(design,)i Fx(dbacl)e Fs(ignores)f(all)h
(digrams)f(app)r(earing)g Fq(outside)i Fs(an)n(y)f(v)-5
b(alid)20 b(tok)n(ens)g(\(w)n(e)744 3871 y(de\014ne)31
b(tok)n(ens)e(later\).)45 b(Including)31 b(coun)n(ts)f(for)f(these)i
(extra)e(digrams)g(w)n(ould)h(sk)n(ew)744 4020 y(classi\014cation,)25
b(since)h(the)g(extra)f(digrams)f(represen)n(t)h(essen)n(tially)g
(formatting)g(data)744 4169 y(in)k(the)h(text)f(corpus)f
Fp(C)6 b Fs(.)40 b(The)29 b(sp)r(ecial)g(sym)n(b)r(ol)f
Fi(\005)g Fs(is)h(used)g(to)f(mark)g(the)i(b)r(eginning)744
4319 y(and)f(end)g(of)g(tok)n(en,)g(and)f(has)h(the)g(e\013ect)g(of)g
(in)n(tro)r(ducing)g(a)f(natural)g(tok)n(en)g(length)744
4468 y(in)g Fp(R)904 4480 y Fl(C)960 4468 y Fs(.)661
4618 y Fi(\017)41 b Fs(In)31 b(in)n(ternational)f(lo)r(cales,)h(c)n
(haracter)e(sets)h(can)h(b)r(e)g(essen)n(tially)f(arbitrarily)f(large.)
744 4767 y(Consequen)n(tly)-7 b(,)25 b(the)f(p)r(oten)n(tial)h(n)n(um)n
(b)r(er)f(of)g(digrams)f(is)i(un)n(b)r(ounded.)36 b Fx(dbacl)25
b Fs(cop)r(es)744 4917 y(with)e(this)g(b)n(y)f(alw)n(a)n(ys)e
(calculating)i Fp(R)1933 4929 y Fl(C)2011 4917 y Fs(in)g(terms)g(of)h
Fq(unibyte)f Fs(digrams,)g(rather)f(than)744 5066 y(\(strictly)32
b(sp)r(eaking\))f Fq(char)l(acter)i Fs(digrams.)49 b(Th)n(us)31
b(there)h(are)e(at)i(most)g(\(256\))3247 5036 y Fn(2)3315
5066 y Fs(dis-)744 5216 y(tinct)c(digrams,)d(and)h(the)h(conditional)f
(probabilities)g Fp(p)2525 5228 y Fl(C)2580 5216 y Fs(\()p
Fi(\001)p Fp(;)14 b Fi(\001)p Fs(\))27 b(ma)n(y)f(or)g(ma)n(y)g(not)g
(b)r(e)p eop end
%%Page: 6 6
TeXDict begin 6 5 bop 456 251 a Fn(6)1245 b(L.A.)22 b(BREYER)744
450 y Fs(in)n(terpretable)32 b(as)f(go)n(v)n(erning)f(c)n(haracter)g
(transitions,)i(dep)r(ending)h(on)f(the)g(c)n(hosen)744
600 y(c)n(haracter)24 b(set)i(\(in)g(lo)r(cales)f(where)g(c)n
(haracters)e(require)i(a)g(single)g(b)n(yte,)h(the)g(distinc-)744
749 y(tion)i(is)f(mo)r(ot\).)844 898 y(Wide)39 b(c)n(haracter)e(sets,)
42 b(whic)n(h)d(enco)r(de)f(eac)n(h)g(p)r(ossible)h(c)n(haracter)e(as)h
(a)g(\014xed)744 1048 y(width)j(sequence)e(of)h(b)n(ytes,)i(p)r(ose)e
(an)f(information)g(loss)g(problem,)j(since)e(man)n(y)744
1197 y(c)n(haracters)c(are)h(enco)r(ded)h(with)g(trailing)g(NUL)g(b)n
(ytes.)68 b(This)38 b(mak)n(es)f(the)h(lo)r(cale)744
1347 y(c)n(haracters)29 b(under)i(the)g Fp(R)1591 1359
y Fl(C)1678 1347 y Fs(measure)e(essen)n(tially)h(i.i.d.,)i(with)g(a)e
(consequen)n(t)g(loss)744 1496 y(of)38 b(mo)r(delling)h(information.)67
b(The)39 b(resp)r(onsibilit)n(y)e(for)h(using)f(an)h(\\informativ)n(e")
744 1646 y(c)n(haracter)27 b(set)i(is)f(th)n(us)h(relegated)f(to)g(the)
i(user,)e(who)h(should)f(use)h(a)f(corpus)g(repre-)744
1795 y(sen)n(ted)g(in)g(a)f(suitable)g(m)n(ultib)n(yte)h(c)n(haracter)e
(set.)555 1984 y(It)j(is)f(easy)f(to)h(see)g(that)g(the)h(measure)e
Fp(R)1861 1996 y Fl(C)1945 1984 y Fs(has)g(unit)i(mass)e(on)h(all)g
(tok)n(ens.)38 b(Since)28 b Fi(\005)g Fs(do)r(es)456
2133 y(not)22 b(app)r(ear)g(inside)g(the)h(string)f Fp(t)p
Fs(,)i(w)n(e)e(can)g(iden)n(tify)h Fp(R)2168 2145 y Fl(C)2247
2133 y Fs(with)g(the)g(la)n(w)f(of)g(an)g(excursion)g(from)456
2282 y Fi(\005)j Fs(for)h(the)h(mark)n(o)n(v)d(c)n(hain)h(with)i
(transition)e(probabilities)h Fp(p)2384 2294 y Fl(C)2439
2282 y Fs(\()p Fp(x;)14 b(y)s Fs(\).)37 b(Since)27 b(the)f(state)g
(space)456 2432 y(is)k(\014nite,)h(and)f(there)f(are)g(no)h(absorbing)e
(states,)j(the)f(length)g(of)g(eac)n(h)f(excursion)g(is)h(almost)456
2581 y(surely)c(\014nite,)j(whic)n(h)e(giv)n(es)1375
2519 y Fh(P)1462 2606 y Fl(t)1505 2581 y Fp(R)1568 2593
y Fl(C)1624 2581 y Fs(\()p Fp(t)p Fs(\))d(=)e(1.)1052
2924 y(4.)42 b Fr(Document)31 b(represent)-6 b(a)g(tion)33
b(and)e(fea)-6 b(tures)555 3123 y Fs(When)38 b Fx(dbacl)g
Fs(is)g(giv)n(en)e(a)h(text)h(corpus)e Fp(C)44 b Fs(to)38
b(learn,)h(it)f(treats)e(the)i(input)g(as)f(a)g(long)456
3273 y(c)n(haracter)g(string)h(and)h(builds)g(the)h(reference)e
(measure)g Fp(R)2419 3285 y Fl(C)2475 3273 y Fs(.)71
b(T)-7 b(o)39 b(obtain)g(sophisticated)456 3422 y(corpus)33
b(mo)r(del)i(probabilities)e(ho)n(w)n(ev)n(er,)h(this)h(stream)e(of)i
(c)n(haracters)d(m)n(ust)i(b)r(e)h(con)n(v)n(erted)456
3572 y(in)n(to)20 b(tok)n(ens.)33 b(T)-7 b(o)20 b(cop)r(e)h(with)f
(large)f(text)i(corp)r(ora,)f(this)h(tok)n(enization)e(should)h(b)r(e)h
(compatible)456 3721 y(with)28 b(a)f(single)g(pass)g(through)g(the)h
(data.)555 3871 y(In)33 b(the)h Fq(default)h(mo)l(del)p
Fs(,)g(non-alphab)r(etic)e(c)n(haracters)d(are)i(ignored)g(and)g(what)h
(is)g(left)h(is)456 4020 y(a)29 b(sequence)g(of)g(alphab)r(etic)h(w)n
(ord/tok)n(ens)d(con)n(v)n(erted)h(to)h(lo)n(w)n(er)f(case.)42
b(Th)n(us)29 b(w)n(e)h(can)f(write)456 4169 y(formally)d
Fp(C)k Fs(=)22 b(\()p Fp(t)1021 4181 y Fn(1)1059 4169
y Fp(;)14 b(:)g(:)g(:)f(;)h(t)1273 4181 y Fl(n)1318 4169
y Fs(\),)28 b(where)g(eac)n(h)e Fp(t)1858 4181 y Fl(i)1914
4169 y Fs(is)h(a)g(w)n(ord/tok)n(en.)555 4319 y(The)39
b(default)g(mo)r(del)g(has)f(sev)n(eral)f(limitations)h(whic)n(h)h
(arise)e(out)i(of)g(the)g(w)n(ord/tok)n(en)456 4468 y(represen)n
(tation)31 b(of)h Fp(C)6 b Fs(.)53 b(F)-7 b(or)32 b(example,)i(w)n
(ord/tok)n(ens)c(cannot)j(o)n(v)n(erlap,)f(whic)n(h)g(mak)n(es)g(the)
456 4618 y(construction)25 b(of)i Fp(n)p Fs(-gram)e(w)n(ord)g(mo)r
(dels)h(programmatically)e(tedious.)37 b(A)26 b(b)r(etter)h(approac)n
(h)456 4767 y(is)g(through)g(the)h(use)f(of)h(features.)555
4917 y Fq(A)34 b(fe)l(atur)l(e)e Fs(is)f(a)h(function)h
Fp(f)40 b Fs(whic)n(h,)33 b(giv)n(en)e(a)h(string)f(of)h(c)n(haracters)
e Fp(s)p Fs(,)j(returns)e(a)h(v)-5 b(alue)456 5066 y
Fp(f)9 b Fs(\()p Fp(s)p Fs(\))23 b Fi(2)g(f)p Fs(0)p
Fp(;)14 b Fs(1)p Fp(;)g Fs(2)p Fp(;)g(:)g(:)g(:)e Fi(g)p
Fs(.)33 b(T)n(ypically)-7 b(,)19 b Fp(f)27 b Fs(will)19
b(simply)f(coun)n(t)h(the)f(n)n(um)n(b)r(er)g(of)h(times)f(a)g(w)n
(ord/tok)n(en)456 5216 y Fp(t)25 b Fs(o)r(ccurs)g(in)h
Fp(s)p Fs(,)h(written)e Fp(f)1279 5228 y Fl(t)1308 5216
y Fs(\()p Fp(s)p Fs(\).)37 b(Ho)n(w)n(ev)n(er,)24 b(features)i(can)f(b)
r(e)h(more)f(general,)g(and)h Fx(dbacl)g Fs(can)p eop
end
%%Page: 7 7
TeXDict begin 7 6 bop 1428 251 a Fn(THE)30 b(DBA)n(CL)g(TEXT)f
(CLASSIFIER)939 b(7)456 450 y Fs(de\014ne)39 b(features)g(in)h(terms)f
(of)g(regular)f(expressions.)71 b(Most)39 b(imp)r(ortan)n(tly)-7
b(,)42 b(features)d(can)456 600 y Fq(overlap)p Fs(.)555
749 y(T)-7 b(o)31 b(in)n(tro)r(duce)f(the)h(de\014nition)g(of)g(a)f
(tok)n(en)h(asso)r(ciated)e(with)i(a)g(feature,)g(supp)r(ose)f(giv)n
(en)456 898 y(a)e(\014nite)h(set)f Fp(G)h Fs(of)f(regular)f
(expressions.)38 b(F)-7 b(or)27 b(our)h(purp)r(oses,)g(w)n(e)g(shall)g
(b)r(e)h(in)n(terested)f(only)456 1048 y(in)d(expressions)e(whic)n(h)i
(tag)f(one)h(or)f(more)g(sub)r(expressions.)35 b(Th)n(us)25
b(eac)n(h)f(regular)f(expression)456 1197 y Fp(g)i Fi(2)f
Fp(G)k Fs(acts)f(on)g(an)g(arbitrary)f(string)h Fp(s)g
Fs(as)g(follo)n(ws:)790 1480 y Fp(g)s Fs(\()p Fp(s)p
Fs(\))d(=)1047 1285 y Fh(8)1047 1360 y(>)1047 1385 y(<)1047
1534 y(>)1047 1559 y(:)1121 1406 y Fs(\()p Fp(s)1192
1418 y Fn(1)1229 1406 y Fp(;)14 b(:)g(:)g(:)g(;)g(s)1453
1418 y Fl(g)1492 1406 y Fs(\))83 b(if)28 b Fp(s)g Fs(matc)n(hes)f
Fp(g)j Fs(and)d Fp(s)2341 1418 y Fn(1)2378 1406 y Fp(;)14
b(:)g(:)g(:)g(;)g(s)2602 1418 y Fl(g)2668 1406 y Fs(w)n(ere)27
b(tagged)1121 1585 y Fi(;)444 b Fs(if)28 b Fp(s)g Fs(do)r(es)f(not)g
(matc)n(h)h Fp(g)456 1763 y Fs(In)h(the)i(de\014nition)f(b)r(elo)n(w,)g
(w)n(e)f(also)g(use)g(the)h(string)f(concatenation)g(op)r(erator)f
Ff(cat)o Fs(,)i(i.e.)g(w)n(e)456 1912 y(ha)n(v)n(e)c
Ff(cat)o Fs(\()p Fp(s)849 1924 y Fn(1)886 1912 y Fp(;)14
b(s)962 1924 y Fn(2)999 1912 y Fp(;)g(:)g(:)g(:)g(;)g(s)1223
1924 y Fl(n)1268 1912 y Fs(\))23 b(=)g Fp(s)1450 1924
y Fn(1)1505 1912 y Fi(\005)18 b Fp(s)1604 1924 y Fn(2)1660
1912 y Fi(\005)g(\001)c(\001)g(\001)k(\005)g Fp(s)1934
1924 y Fl(n)1979 1912 y Fs(.)456 2140 y Fx(De\014nition)29
b(1.)40 b Fq(L)l(et)29 b Fp(G)g Fq(b)l(e)g(a)g(\014nite)f(set)h(of)g(r)
l(e)l(gular)g(expr)l(essions.)39 b(A)29 b Fs(tok)n(en)f
Fp(t)g Fq(is)i(a)f(string)g(of)456 2289 y(the)g(form)h
Fp(t)23 b Fs(=)g Ff(cat)16 b Fi(\016)h Fp(g)s Fs(\()p
Fp(s)p Fs(\))p Fq(,)30 b(for)g(some)g(string)f Fp(s)g
Fq(and)h(some)g Fp(g)25 b Fi(2)f Fp(G)p Fq(.)39 b(The)30
b Fs(feature)f Fq(asso)l(ciate)l(d)456 2439 y(with)h
Fp(t)g Fq(is)g(the)g(function)f Fp(f)j Fs(=)23 b Fp(f)1451
2451 y Fl(t)1509 2439 y Fq(de\014ne)l(d)30 b(by)539 2684
y Fp(f)580 2696 y Fl(t)609 2684 y Fs(\()p Fp(s)p Fs(\))23
b(=)g(max)977 2617 y Fh(\010)1026 2684 y Fp(k)j Fs(:)d
Fq(ther)l(e)30 b(exist)f(distinct)h(minimal)h(substrings)e
Fp(u)2600 2696 y Fn(1)2637 2684 y Fp(;)14 b(:)g(:)g(:)f(;)h(u)2869
2696 y Fl(k)2939 2684 y Fq(of)31 b Fp(s)p Fq(,)1689 2871
y(such)f(that)g Ff(cat)17 b Fi(\016)h Fp(g)s Fs(\()p
Fp(u)2380 2883 y Fl(j)2414 2871 y Fs(\))24 b(=)e Fp(t)30
b Fq(for)h(al)t(l)f Fp(j)e Fs(=)23 b(1)p Fp(;)14 b(:)g(:)g(:)f(;)h(k)
3290 2803 y Fh(\011)3338 2871 y Fp(:)456 3078 y Fq(A)35
b(fe)l(atur)l(e)g Fp(f)872 3090 y Fl(t)937 3078 y Fq(thus)g(c)l(ounts)g
(the)g(numb)l(er)g(of)i(disjoint)g(o)l(c)l(curr)l(enc)l(es)e(of)h(the)g
(token)g Fp(t)f Fq(in)h(the)456 3228 y(string)22 b Fp(s)p
Fq(.)36 b(The)23 b(set)f(of)h(al)t(l)g(fe)l(atur)l(es)f(of)h
Fp(s)f Fq(is)h(written)f Fi(F)8 b Fs(\()p Fp(s)p Fs(\))p
Fq(.)36 b(We)23 b(also)g(write)g Fi(F)8 b Fs(\()p Fp(G)p
Fs(\))23 b(=)g Fi([fF)8 b Fs(\()p Fp(s)p Fs(\))23 b(:)456
3377 y Fp(s)29 b Fq(a)h(string)p Fi(g)p Fq(.)555 3605
y Fs(The)e Fq(default)i(mo)l(del)f Fs(of)f Fx(dbacl)g
Fs(is)f(obtained)h(b)n(y)f(taking)456 3812 y(\(3\))282
b Fp(G)23 b Fs(=)g Fi(f)p Ff("[^[:alpha:]])p Fs(\()p
Ff([[:)o(al)o(ph)o(a:])o(]+)o Fs(\))p Ff(")-6 b Fp(;)14
b Ff("^)p Fs(\()p Ff([[:alpha:]]+)p Fs(\))p Ff(")-5 b
Fi(g)456 4020 y Fs(whic)n(h)24 b(giv)n(es)f(tok)n(ens)h(represen)n(ted)
f(b)n(y)h(alphab)r(etic)g(substrings)f(only)h(\(mo)r(dulo)h(the)g(fact)
f(that)456 4169 y(tok)n(ens)i(are)h(also)f(con)n(v)n(erted)h(to)g(lo)n
(w)n(ercase\).)555 4319 y(A)n(t)j(this)f(p)r(oin)n(t,)h(it)g(mak)n(es)e
(sense)h(to)h(in)n(tro)r(duce)e(the)i(notion)f(of)g Fq(admissible)34
b(string)p Fs(,)c(since)456 4468 y(classi\014cation)f(will)i(dep)r(end)
g(only)f(on)h(comparing)e(features)h(of)h(ordinary)e(strings.)45
b(The)30 b(set)456 4618 y(of)25 b(admissible)g(strings)f(can)h
(e\013ectiv)n(ely)g(b)r(e)g(en)n(umerated)g(b)n(y)g(listing)g(the)h(v)
-5 b(alues)25 b Fi(f)p Fp(f)9 b Fs(\()p Fp(s)p Fs(\))22
b(:)h Fp(f)32 b Fi(2)456 4767 y(F)8 b Fs(\()p Fp(G)p
Fs(\))p Fi(g)p Fs(.)555 4917 y(Also,)29 b(to)g(compare)f(di\013eren)n
(t)h(text)g(do)r(cumen)n(ts,)h(w)n(e)e(shall)h(consider)f(them)h(as)f
(v)n(ery)g(long)456 5066 y(admissible)c(strings.)35 b(Ho)n(w)n(ev)n
(er,)23 b(it)h(is)h(di\016cult)g(to)f(compare)f(strings)h(of)g(v)n(ery)
f(di\013eren)n(t)i(sizes.)456 5216 y(A)j(training)f(corpus)f(migh)n(t)i
(con)n(tain)f(millions)h(of)g(c)n(haracters,)d(while)j(the)g(future)g
(text)g(to)g(b)r(e)p eop end
%%Page: 8 8
TeXDict begin 8 7 bop 456 251 a Fn(8)1245 b(L.A.)22 b(BREYER)456
450 y Fs(classi\014ed)31 b(ma)n(y)h(only)g(con)n(tain)f(h)n(undreds.)51
b(Moreo)n(v)n(er,)30 b(since)i(the)h(strings)f(are)f(admissible,)456
600 y(they)38 b(ma)n(y)g(con)n(tain)g(sections)g(of)h(irrelev)-5
b(an)n(t)38 b(c)n(haracters,)h(whic)n(h)f(do)h(not)g(app)r(ear)e(in)i
(an)n(y)456 749 y(tok)n(en.)d(Th)n(us)27 b(w)n(e)g(also)g(need)h(a)f
(notion)g(of)h(complexit)n(y)-7 b(.)456 951 y Fx(De\014nition)39
b(2.)44 b Fq(Consider)38 b(the)f(e)l(quivalenc)l(e)g(r)l(elation)g
Fi(\030)e Fq(on)i(strings)f(given)g(by)h Fp(s)e Fi(\030)f
Fp(s)3334 921 y Fg(0)3393 951 y Fq(if)456 1101 y(and)41
b(only)g(if)h Fp(f)9 b Fs(\()p Fp(s)p Fs(\))43 b(=)f
Fp(f)9 b Fs(\()p Fp(s)1335 1071 y Fg(0)1358 1101 y Fs(\))41
b Fq(for)h(al)t(l)g Fp(f)51 b Fi(2)43 b(F)8 b Fs(\()p
Fp(G)p Fs(\))p Fq(.)73 b(Each)42 b(e)l(quivalenc)l(e)f(class)h(is)f(c)l
(al)t(le)l(d)h(a)456 1250 y Fp(G)p Fs(-admissible)29
b Fq(string.)38 b(The)31 b Fp(G)p Fs(-complexit)n(y)e
Fq(of)i(a)f Fp(G)p Fq(-admissible)i(string)d Fp(s)h Fq(is)g(de\014ne)l
(d)g(as)1575 1452 y Fp(\037)1627 1464 y Fl(G)1683 1452
y Fs(\()p Fp(s)p Fs(\))23 b(=)1956 1373 y Fh(X)1897 1555
y Fl(f)7 b Fg(2)p Fl(F)i Fn(\()p Fl(G)p Fn(\))2149 1452
y Fp(f)g Fs(\()p Fp(s)p Fs(\))p Fp(:)555 1697 y Fs(When)27
b(the)g(set)f Fp(G)h Fs(is)f(understo)r(o)r(d,)h(w)n(e)f(will)g(drop)g
(the)h Fp(G)p Fs(-pre\014x.)36 b(T)-7 b(o)26 b(p)r(erform)g(a)g
(calcula-)456 1846 y(tion)h(later,)g(w)n(e)g(will)h(need)g(the)g(follo)
n(wing)f(assumption)g(on)g Fp(G)p Fs(:)456 2049 y Fx(De\014nition)33
b(3.)42 b Fq(The)33 b(set)e(of)i(r)l(e)l(gular)e(expr)l(essions)i
Fp(G)f Fq(is)g Fs(simple)f Fq(if)i(ther)l(e)f(exist)f(admissible)456
2198 y(strings)e(which)i(exhibit)g(every)g(c)l(ombination)g(of)f(fe)l
(atur)l(e)g(c)l(ounts.)555 2400 y Fs(It)39 b(is)f(easy)f(to)h(see)g
(that)h(simple)f(sets)g Fp(G)h Fs(exist.)69 b(F)-7 b(or)37
b(example,)k(if)e Fp(G)f Fs(matc)n(hes)g(single)456 2550
y(c)n(haracters)d(only)-7 b(,)40 b(then)e(a)f(string)g(of)h(complexit)n
(y)f Fp(k)k Fs(has)c(exactly)g Fp(k)j Fs(c)n(haracters,)e(and)g(b)n(y)
456 2699 y(iden)n(tifying)24 b(the)h(p)r(erm)n(utations,)g(w)n(e)f
(obtain)h(all)f(admissible)g(strings)g(of)h(complexit)n(y)f
Fp(k)s Fs(.)35 b(The)456 2849 y Fq(default)f(mo)l(del)f
Fs(is)f(another)f(example)g(of)h(a)f(simple)h(set)g Fp(G)p
Fs(.)50 b(Ho)n(w)n(ev)n(er,)31 b Fp(n)p Fs(-gram)f(mo)r(dels)i(for)456
2998 y Fp(n)22 b(>)h Fs(1)k(do)h(not)f(arise)g(from)g(a)g(simple)h(set)
f Fp(G)p Fs(.)555 3148 y(F)-7 b(or)24 b(admissible)g(strings,)g(the)g
(reference)g(measure)f Fp(R)2257 3160 y Fl(C)2337 3148
y Fs(induces)h(a)g(natural)f Fp(\033)s Fs(-\014nite)i(mea-)456
3297 y(sure)35 b Fm(R)700 3309 y Fl(C)791 3297 y Fs(on)h(the)g(set)f
(of)h(all)g(admissible)f(strings,)i(as)e(follo)n(ws:)52
b(if)36 b Fp(f)45 b Fs(=)36 b Fp(f)2885 3309 y Fl(t)2950
3297 y Fs(is)g(the)g(feature)456 3447 y(corresp)r(onding)26
b(to)j(a)g(tok)n(en)f Fp(t)p Fs(,)h(w)n(e)f(shall)h(\(ab\)use)g
(notation)f(and)h(write)2798 3414 y Fn(1)2860 3447 y
Fp(R)2923 3459 y Fl(C)2979 3447 y Fs(\()p Fp(f)9 b Fs(\))25
b(=)g Fp(R)3271 3459 y Fl(C)3327 3447 y Fs(\()p Fp(t)p
Fs(\).)456 3596 y(Then)i(if)h Fp(s)g Fs(is)g(admissible,)456
3798 y(\(4\))710 b Fm(R)1332 3810 y Fl(C)1388 3798 y
Fs(\()p Fp(s)p Fs(\))24 b(=)e Fp(\037)p Fs(\()p Fp(s)p
Fs(\)!)1862 3719 y Fh(Y)1794 3901 y Fl(f)7 b Fg(2F)f
Fn(\()p Fl(G)p Fn(\))2126 3742 y Fs(1)p 2059 3779 177
4 v 2059 3855 a Fp(f)j Fs(\()p Fp(s)p Fs(\)!)2245 3798
y Fp(R)2308 3810 y Fl(C)2364 3798 y Fs(\()p Fp(f)g Fs(\))2478
3763 y Fl(f)e Fn(\()p Fl(s)p Fn(\))2605 3798 y Fp(:)456
4042 y Fs(This)27 b(measure)g(is)g(not)h(a)f(probabilit)n(y)-7
b(.)36 b(Ho)n(w)n(ev)n(er,)25 b(for)i(a)h(giv)n(en)e(complexit)n(y)h
Fp(k)k Fs(and)c(a)g Fq(simple)456 4191 y Fs(set)37 b
Fp(G)p Fs(,)j(the)d(set)h(of)f(all)g(admissible)g(strings)f
Fp(s)h Fs(with)h Fp(\037)p Fs(\()p Fp(s)p Fs(\))h(=)g
Fp(k)h Fs(has)d(unit)h Fm(R)2993 4203 y Fl(C)3049 4191
y Fs(-mass,)g(due)456 4341 y(to)562 4279 y Fh(P)650 4366
y Fl(f)707 4341 y Fp(R)770 4353 y Fl(C)825 4341 y Fs(\()p
Fp(f)9 b Fs(\))32 b(=)f(1.)52 b(Th)n(us)32 b(it)h(can)f(b)r(e)h(view)n
(ed)f(as)g(a)h(family)f(of)h(m)n(ultinomial)g(probabilit)n(y)456
4490 y(distributions,)27 b(indexed)h(b)n(y)f(complexit)n(y)-7
b(.)555 4640 y(In)32 b(the)f Fq(default)k(mo)l(del)d
Fs(used)f(b)n(y)g Fx(dbacl)p Fs(,)i(the)f(measure)e Fm(R)2447
4652 y Fl(C)2534 4640 y Fs(has)h(a)g(straigh)n(tforw)n(ard)e(in-)456
4789 y(terpretation.)75 b(Since)41 b(tok)n(ens)e(are)h(lo)n(w)n(er)f
(case)h(alphab)r(etic)g(substrings)g(of)h Fp(s)p Fs(,)j(separated)p
456 4863 499 4 v 555 4937 a Fn(1)588 4962 y Fw(Pro)n(vided)24
b(w)n(e)g(restrict)f(ourselv)n(es)h(only)f(to)h(features)g(of)f(the)i
(form)d Ft(f)2440 4970 y Fe(t)2491 4962 y Fw(for)h(some)g
Ft(t)p Fw(,)h(this)f(notation)i(essen-)456 5087 y(tially)i(sets)h(up)h
(a)f(bijectiv)n(e)g(corresp)r(ondence)i(b)r(et)n(w)n(een)g
Ft(f)2046 5095 y Fe(t)2101 5087 y Fw(and)f Ft(t)p Fw(,)g(suc)n(h)f
(that)i(the)e(measure)g Ft(R)3095 5098 y Fe(C)3147 5087
y Fw(\()p Ft(f)7 b Fw(\))29 b(is)e(the)456 5211 y(image)c(of)h
Ft(R)793 5222 y Fe(C)845 5211 y Fw(\()p Ft(t)p Fw(\).)p
eop end
%%Page: 9 9
TeXDict begin 9 8 bop 1428 251 a Fn(THE)30 b(DBA)n(CL)g(TEXT)f
(CLASSIFIER)939 b(9)456 450 y Fs(b)n(y)31 b(non-alphab)r(etic)g(c)n
(haracters,)g Fm(R)1628 462 y Fl(C)1716 450 y Fs(is)g(the)i(image,)f
(under)f(the)i(equiv)-5 b(alence)31 b(relation)g Fi(\030)p
Fs(,)456 600 y(of)k(the)g(la)n(w)f(of)h(a)g(Mark)n(o)n(v)d(c)n(hain)j
(on)f(the)i(c)n(haracters)c(of)j(a)g(lo)n(w)n(er)e(case)h(string,)i
(where)f(all)456 749 y(non-alphab)r(etic)j(c)n(haracters)e(are)i
(amalgamated)f(in)n(to)i(a)f(single)g(arti\014cial)g(state)h
Fi(\005)p Fs(.)69 b(The)456 898 y(complexit)n(y)27 b(of)g
Fp(s)h Fs(is)f(the)h(n)n(um)n(b)r(er)g(of)f(excursions)f(from)i
Fi(\005)p Fs(,)f(and)g(its)h(initial)g(v)-5 b(alue)27
b(is)h Fi(\005)p Fs(.)555 1048 y(With)h(more)d(general)h(t)n(yp)r(es)g
(of)h(tok)n(ens,)f(the)h(measure)e Fm(R)2386 1060 y Fl(C)2470
1048 y Fs(is)h(not)h(so)f(easy)f(to)i(in)n(terpret.)1149
1328 y(5.)41 b Fr(Maximum)31 b(Entr)n(opy:)41 b(the)31
b(simple)h(case)555 1528 y Fs(Let)i Fp(G)f Fs(b)r(e)h(a)f
Fq(simple)h Fs(set)f(of)g(regular)f(expressions.)52 b(Giv)n(en)33
b(a)g(corpus)f Fp(C)6 b Fs(,)35 b(the)f(digramic)456
1677 y(reference)f(measure)h Fp(R)1205 1689 y Fl(C)1296
1677 y Fs(is)h(\014rst)f(computed,)j(as)d(describ)r(ed)h(in)g(an)f
(earlier)f(section.)59 b(This)456 1827 y(measure)23 b(is)i(imp)r(ortan)
n(t,)g(since)f(the)i(input)f(corpus)f Fp(C)31 b Fs(ma)n(y)24
b(not)h(con)n(tain)f(all)g(p)r(ossible)g(tok)n(ens)456
1976 y(whic)n(h)36 b Fx(dbacl)h Fs(will)g(b)r(e)g(exp)r(osed)f(to)h(in)
f(later)g(use.)64 b(Ho)n(w)n(ev)n(er,)37 b(for)f(a)g(giv)n(en)g(tok)n
(en)g Fp(t)p Fs(,)j(the)456 2125 y(probabilit)n(y)27
b Fp(R)944 2137 y Fl(C)999 2125 y Fs(\()p Fp(t)p Fs(\))i(can)f(alw)n(a)
n(ys)e(b)r(e)i(calculated.)38 b(Th)n(us)27 b(b)n(y)h(incorp)r(orating)e
Fp(R)2984 2137 y Fl(C)3040 2125 y Fs(,)i(w)n(e)g(obtain)456
2275 y(automatically)e(a)h(form)h(of)f(text)h Fq(smo)l(othing)h
Fs(\(Zhai)e(and)g(La\013ert)n(y)-7 b(,)27 b(2001\).)555
2424 y(Viewing)e(the)g(corpus)e Fp(C)31 b Fs(as)24 b(a)g(single)g
(admissible)g(string)g(with)h(complexit)n(y)f Fp(\037)p
Fs(\()p Fp(C)6 b Fs(\),)26 b Fx(dbacl)456 2574 y Fs(computes)34
b(the)i(Maxim)n(um)f(\(Relativ)n(e\))g(En)n(trop)n(y)e(probabilit)n(y)h
Fm(P)2593 2586 y Fl(C)2648 2574 y Fs(,)j(with)f(resp)r(ect)f(to)g
Fm(R)3366 2586 y Fl(C)3421 2574 y Fs(,)456 2723 y(sub)5
b(ject)38 b(to)h(constrain)n(ts)e(on)i(the)g(mean)f(v)-5
b(alues)38 b(of)h(in)n(teresting)f(features.)69 b(The)39
b(solution)456 2873 y Fm(P)507 2885 y Fl(C)591 2873 y
Fs(is)28 b(th)n(us)g(a)g(mem)n(b)r(er)h(of)f(the)h(con)n(v)n(ex)e(set)h
(of)h(probabilities)e(\(on)h(admissible)g(strings)g(with)456
3022 y(complexit)n(y)f Fp(\037)p Fs(\()p Fp(C)6 b Fs(\)\))456
3256 y(\(5\))711 b(\005)1335 3268 y Fl(C)1414 3256 y
Fs(=)1501 3189 y Fh(\010)1550 3256 y Fm(Q)23 b Fs(:)1684
3143 y Fh(Z)1781 3256 y Fp(f)f(d)p Fm(Q)h Fi(\024)f Fp(a)2106
3268 y Fl(f)2149 3256 y Fp(;)42 b(f)32 b Fi(2)23 b(F)8
b Fs(\()p Fp(C)e Fs(\))p Fi(g)p Fp(:)456 3490 y Fs(Here)18
b(the)i(nonnegativ)n(e)e(real)g(n)n(um)n(b)r(ers)h Fp(a)1755
3502 y Fl(f)1817 3490 y Fs(represen)n(t)f(b)r(ounds)h(on)g(the)h(means)
e(for)h(the)h(v)-5 b(arious)456 3639 y(features)28 b(of)g
Fp(C)35 b Fs(\(the)30 b(c)n(hoice)e(of)g Fp(a)1522 3651
y Fl(f)1594 3639 y Fs(is)h(discussed)f(later\).)40 b(Pro)n(vided)27
b(\005)2718 3651 y Fl(C)2803 3639 y Fs(is)h(b)r(oth)i(nonempt)n(y)456
3789 y(and)22 b(a)h(\014nite)g(Kullbac)n(k-Leibler)f(distance)g(from)h
Fm(R)2079 3801 y Fl(C)2135 3789 y Fs(,)h(the)f(probabilit)n(y)f(of)h
(in)n(terest)f(therefore)456 3938 y(satis\014es)456 4172
y(\(6\))657 b Fm(P)1270 4184 y Fl(C)1349 4172 y Fs(=)22
b(arg)38 b(min)1567 4226 y Fd(Q)p Fg(2)p Fn(\005)1706
4234 y Fj(C)1768 4059 y Fh(Z)1865 4172 y Fs(log)1972
4105 y Fh(\000)2010 4172 y Fp(d)p Fm(Q)p Fp(=d)p Fm(R)2263
4184 y Fl(C)2318 4105 y Fh(\001)2356 4172 y Fp(d)p Fm(Q)23
b Fp(<)g Fi(1)p Fp(:)456 4406 y Fs(In)k(that)h(case,)f(it)h(is)g(w)n
(ell)f(kno)n(wn)g(\(Csiszar,)f(1984\))g(that)i(the)g(functional)g(form)
f(of)h Fm(P)3159 4418 y Fl(C)3242 4406 y Fs(is)456 4640
y(\(7\))618 b Fp(d)p Fm(P)1274 4652 y Fl(C)1330 4640
y Fs(\()p Fp(s)p Fs(\))23 b(=)g Fp(Z)1607 4605 y Fg(\000)p
Fn(1)1601 4665 y Fl(C)1709 4640 y Fs(exp)1836 4548 y
Fh(\020)1946 4561 y(X)1886 4743 y Fl(f)7 b Fg(2F)f Fn(\()p
Fl(C)t Fn(\))2140 4640 y Fp(\025)2188 4652 y Fl(f)2232
4640 y Fp(f)j Fs(\()p Fp(s)p Fs(\))2385 4548 y Fh(\021)2434
4640 y Fp(d)p Fm(R)2537 4652 y Fl(C)2594 4640 y Fs(\()p
Fp(s)p Fs(\))p Fp(;)456 4917 y Fs(where)27 b(the)h Fp(\025)887
4929 y Fl(f)958 4917 y Fs(are)e(real)h(n)n(um)n(b)r(ers,)g(and)h
Fp(Z)1835 4929 y Fl(C)1918 4917 y Fs(is)f(the)h(appropriate)e
(normalizing)g(constan)n(t.)555 5066 y(Moreo)n(v)n(er,)f(it)j(can)e(b)r
(e)i(sho)n(wn)f(that)g(the)h Fp(\025)1912 5078 y Fl(j)1975
5066 y Fs(are)e(all)h(nonnegativ)n(e,)f(and)h(in)h(fact)f
Fp(\025)3181 5078 y Fl(j)3239 5066 y Fs(=)c(0)k(if)456
5216 y(and)g(only)g(if)875 5149 y Fh(R)945 5216 y Fp(f)9
b(d)p Fm(P)1089 5228 y Fl(C)1167 5216 y Fp(<)23 b(a)1299
5228 y Fl(f)1342 5216 y Fs(.)p eop end
%%Page: 10 10
TeXDict begin 10 9 bop 456 251 a Fn(10)1212 b(L.A.)22
b(BREYER)555 450 y Fs(Substituting)30 b(\(4\))e(in)n(to)f(\(7\),)h(w)n
(e)f(obtain)675 674 y Fp(Z)732 686 y Fl(C)811 674 y Fs(=)22
b Fp(\037)p Fs(\()p Fp(C)6 b Fs(\)!)1217 595 y Fh(X)1176
774 y Fl(s)28 b Fn(adm.)1117 826 y Fl(\037)p Fn(\()p
Fl(s)p Fn(\)=)p Fl(\037)p Fn(\()p Fl(C)t Fn(\))1519 595
y Fh(Y)1452 777 y Fl(f)7 b Fg(2F)f Fn(\()p Fl(G)p Fn(\))1783
618 y Fs(1)p 1716 655 177 4 v 1716 731 a Fp(f)j Fs(\()p
Fp(s)p Fs(\)!)1902 582 y Fh(\020)1952 674 y Fs(exp)2079
607 y Fh(\002)2113 674 y Fp(\025)2161 686 y Fl(f)2205
674 y Fs(1)2247 689 y Fg(f)p Fl(f)e Fg(2F)f Fn(\()p Fl(C)t
Fn(\))p Fg(g)2577 674 y Fs(+)18 b(log)c Fp(R)2844 686
y Fl(C)2900 674 y Fs(\()p Fp(f)9 b Fs(\))3014 607 y Fh(\003)3049
582 y(\021)3099 599 y Fl(f)e Fn(\()p Fl(s)p Fn(\))811
1013 y Fs(=)898 921 y Fh(\020)1008 934 y(X)948 1116 y
Fl(f)g Fg(2F)f Fn(\()p Fl(G)p Fn(\))1202 1013 y Fs(exp)1329
946 y Fh(\002)1364 1013 y Fp(\025)1412 1025 y Fl(f)1455
1013 y Fs(1)1497 1028 y Fg(f)p Fl(f)h Fg(2F)f Fn(\()p
Fl(C)t Fn(\))p Fg(g)1828 1013 y Fs(+)18 b(log)c Fp(R)2095
1025 y Fl(C)2151 1013 y Fs(\()p Fp(f)9 b Fs(\))2265 946
y Fh(\003)2300 921 y(\021)2349 938 y Fl(\037)p Fn(\()p
Fl(C)t Fn(\))811 1303 y Fs(=)898 1211 y Fh(\020)948 1303
y Fs(1)18 b Fi(\000)1151 1224 y Fh(X)1091 1406 y Fl(f)7
b Fg(2F)f Fn(\()p Fl(C)t Fn(\))1345 1303 y Fp(R)1408
1315 y Fl(C)1464 1303 y Fs(\()p Fp(f)j Fs(\))19 b(+)1740
1224 y Fh(X)1680 1406 y Fl(f)7 b Fg(2F)f Fn(\()p Fl(C)t
Fn(\))1934 1303 y Fp(e)1973 1269 y Fl(\025)2012 1278
y Fj(f)2054 1303 y Fp(R)2117 1315 y Fl(C)2173 1303 y
Fs(\()p Fp(f)j Fs(\))2287 1211 y Fh(\021)2337 1228 y
Fl(\037)p Fn(\()p Fl(C)t Fn(\))2486 1303 y Fp(;)456 1570
y Fs(whic)n(h)21 b(follo)n(ws,)g(assuming)f Fp(G)i Fs(is)f
Fq(simple)p Fs(,)j(b)n(y)c(en)n(umerating)g(the)i(admissible)f(strings)
f(via)h(their)456 1719 y(feature)29 b(coun)n(ts.)42 b(Inserting)29
b(\(7\))h(in)n(to)f(\(6\))h(and)f(using)g(the)h(assumption)f
Fm(P)2848 1731 y Fl(C)2929 1719 y Fi(2)e Fs(\005)3073
1731 y Fl(C)3129 1719 y Fs(,)j(w)n(e)f(\014nd)456 1868
y(that)e(the)h(parameters)e Fp(\025)1256 1880 y Fl(f)1327
1868 y Fs(m)n(ust)i(b)r(e)g(c)n(hosen)f(to)g(minimize)456
2092 y(\(8\))217 b Fi(\000)p Fp(\037)p Fs(\()p Fp(C)6
b Fs(\))14 b(log)1146 2000 y Fh(h)1185 2092 y Fs(1)k
Fi(\000)1389 2014 y Fh(X)1328 2195 y Fl(f)7 b Fg(2F)f
Fn(\()p Fl(C)t Fn(\))1583 2092 y Fp(R)1646 2104 y Fl(C)1702
2092 y Fs(\()p Fp(f)j Fs(\))18 b(+)1978 2014 y Fh(X)1917
2195 y Fl(f)7 b Fg(2F)f Fn(\()p Fl(C)t Fn(\))2172 2092
y Fp(e)2211 2058 y Fl(\025)2250 2067 y Fj(f)2292 2092
y Fp(R)2355 2104 y Fl(C)2410 2092 y Fs(\()p Fp(f)j Fs(\))2524
2000 y Fh(i)2582 2092 y Fs(+)2726 2014 y Fh(X)2665 2195
y Fl(f)e Fg(2F)f Fn(\()p Fl(C)t Fn(\))2920 2092 y Fp(\025)2968
2104 y Fl(f)3011 2092 y Fp(a)3055 2104 y Fl(f)3098 2092
y Fp(:)456 2359 y Fs(This)40 b(expression)g(is)h(con)n(v)n(ex)e(as)h(a)
h(function)g(of)g(eac)n(h)f Fp(\025)2346 2371 y Fl(f)2390
2359 y Fs(,)k(and)d(can)f(b)r(e)i(optimized)f(one)456
2508 y(comp)r(onen)n(t)21 b(at)h(a)f(time,)j(but)e(some)f(care)g(m)n
(ust)h(b)r(e)g(tak)n(en)f(to)h(cop)r(e)f(with)i(n)n(umerical)d
(precision)456 2658 y(errors)28 b(when)k Fp(\037)p Fs(\()p
Fp(C)6 b Fs(\))31 b(is)g(large.)46 b(Di\013eren)n(tiating)32
b(\(8\))f(with)h(resp)r(ect)f(to)g(a)f(single)h(comp)r(onen)n(t)456
2807 y Fp(\025)504 2819 y Fl(f)575 2807 y Fs(and)c(solving)g(for)g(a)g
(ro)r(ot)g(giv)n(es)f(the)i(equation)f(for)g(an)h(up)r(date)g
Fp(\025)2645 2819 y Fl(f)2711 2807 y Fi(!)23 b Fp(\025)2865
2777 y Fg(0)2865 2831 y Fl(f)2909 2807 y Fs(,)k Fp(z)2998
2819 y Fl(C)3077 2807 y Fi(!)c Fp(z)3226 2777 y Fg(0)3222
2830 y Fl(C)3277 2807 y Fs(:)1169 3031 y Fp(\025)1217
2997 y Fg(0)1217 3052 y Fl(f)1284 3031 y Fs(=)g(log)14
b Fp(z)1532 3043 y Fl(C)1605 3031 y Fs(+)k(log)1867 2975
y Fp(a)1911 2987 y Fl(f)p 1820 3012 182 4 v 1820 3088
a Fp(\037)p Fs(\()p Fp(C)6 b Fs(\))2030 3031 y Fi(\000)18
b Fs(log)c Fp(R)2297 3043 y Fl(C)2353 3031 y Fs(\()p
Fp(f)9 b Fs(\))p Fp(;)-2034 b Fs(\(9\))1166 3247 y Fp(z)1209
3212 y Fg(0)1205 3267 y Fl(C)1284 3247 y Fs(=)23 b(1)17
b Fi(\000)1575 3168 y Fh(X)1514 3350 y Fl(f)7 b Fg(2F)f
Fn(\()p Fl(C)t Fn(\))1769 3247 y Fp(R)1832 3259 y Fl(C)1888
3247 y Fs(\()p Fp(f)j Fs(\))18 b(+)2164 3168 y Fh(X)2103
3350 y Fl(f)7 b Fg(2F)f Fn(\()p Fl(C)t Fn(\))2358 3247
y Fp(e)2397 3212 y Fl(\025)2436 3221 y Fj(f)2478 3247
y Fp(R)2541 3259 y Fl(C)2596 3247 y Fs(\()p Fp(f)j Fs(\))p
Fp(:)456 3513 y Fs(With)37 b(this)g(particular)e(form)h(of)g(up)r
(date,)j(all)d(w)n(eigh)n(ts)g(can)g(b)r(e)g(up)r(dated)h(sim)n
(ultaneously)456 3662 y(b)r(efore)27 b(recomputing)g
Fp(Z)1242 3674 y Fl(C)1297 3662 y Fs(,)h(whic)n(h)g(is)f(m)n(uc)n(h)g
(more)g(exp)r(ensiv)n(e.)555 3812 y(It)h(is)g(apparen)n(t)e(from)h
(\(7\))h(that)g(the)g(solution)f(measure)g Fm(P)2419
3824 y Fl(C)2502 3812 y Fs(can)g(b)r(e)h(written)456
4073 y(\(10\))82 b Fm(P)737 4085 y Fl(C)793 4073 y Fs(\()p
Fp(s)p Fs(\))23 b(=)g Fp(\037)p Fs(\()p Fp(s)p Fs(\)!)c
Fi(\001)1244 3994 y Fh(Y)1176 4176 y Fl(f)7 b Fg(2F)f
Fn(\()p Fl(G)p Fn(\))1508 4017 y Fs(1)p 1441 4054 177
4 v 1441 4130 a Fp(f)j Fs(\()p Fp(s)p Fs(\)!)1642 4052
y Fh(e)1627 4073 y Fp(R)1690 4085 y Fl(C)1746 4073 y
Fs(\()p Fp(f)g Fs(\))1860 4039 y Fl(f)e Fn(\()p Fl(s)p
Fn(\))1986 4073 y Fp(;)1681 4445 y Fs(where)1937 4424
y Fh(e)1922 4445 y Fp(R)1985 4457 y Fl(C)2040 4445 y
Fs(\()p Fp(f)i Fs(\))24 b(=)2265 4250 y Fh(8)2265 4325
y(>)2265 4349 y(<)2265 4499 y(>)2265 4524 y(:)2339 4370
y Fp(Z)2402 4335 y Fg(\000)p Fn(1)2396 4395 y Fl(C)2491
4370 y Fp(e)2530 4340 y Fl(\025)2569 4349 y Fj(f)2610
4370 y Fp(R)2673 4382 y Fl(C)2729 4370 y Fs(\()p Fp(f)9
b Fs(\))83 b(if)29 b Fp(f)i Fi(2)24 b(F)8 b Fs(\()p Fp(C)e
Fs(\))2339 4550 y Fp(Z)2402 4514 y Fg(\000)p Fn(1)2396
4574 y Fl(C)2491 4550 y Fp(R)2554 4562 y Fl(C)2610 4550
y Fs(\()p Fp(f)j Fs(\))202 b(otherwise.)456 4767 y(In)32
b(\(10\),)i(the)f(measure)1261 4746 y Fh(e)1246 4767
y Fp(R)1309 4779 y Fl(C)1397 4767 y Fs(is)g(a)f(probabilit)n(y)g(on)g
Fi(F)8 b Fs(\()p Fp(G)p Fs(\),)35 b(and)d(the)h(same)f(form)n(ula)g
(can)g(b)r(e)456 4917 y(used)26 b(for)g(strings)g(of)g(all)g
(complexities,)h(resulting)f(in)h(a)f(consisten)n(t)g
Fp(\033)s Fs(-\014nite)h(measure)f(on)g(all)456 5066
y(admissible)i(strings.)39 b(F)-7 b(urthermore,)28 b(for)g(an)n(y)g
Fp(\037)d(>)f Fs(0,)29 b Fm(P)2266 5078 y Fl(C)2350 5066
y Fs(is)g(a)f(probabilit)n(y)g(measure)f(when)456 5216
y(restricted)g(to)g(strings)g Fp(s)g Fs(with)h Fp(\037)1503
5228 y Fl(G)1559 5216 y Fs(\()p Fp(s)p Fs(\))c(=)e Fp(\037)p
Fs(.)p eop end
%%Page: 11 11
TeXDict begin 11 10 bop 1428 251 a Fn(THE)30 b(DBA)n(CL)g(TEXT)f
(CLASSIFIER)906 b(11)555 450 y Fs(It)31 b(remains)f(to)g(discuss)h(the)
g(c)n(hoice)e(of)i(constrain)n(ts,)f(and)g(v)n(erify)g(that)h(a)f
(maxim)n(um)h(en-)456 600 y(trop)n(y)26 b(solution)h(exists.)555
749 y(It)20 b(is)f(natural)f(to)h(imp)r(ose)g(the)g(assumption)g(that)g
(at)g(least)g(the)h(empirical)e(measure)g(b)r(elongs)456
898 y(to)28 b(\005)620 910 y Fl(C)676 898 y Fs(,)h(or)e(equiv)-5
b(alen)n(tly)28 b(that)g Fp(a)1516 910 y Fl(f)1584 898
y Fi(\025)23 b Fp(f)9 b Fs(\()p Fp(C)d Fs(\).)40 b(Pro)n(vided)27
b Fp(R)2330 910 y Fl(C)2385 898 y Fs(\()p Fp(f)9 b Fs(\))25
b Fp(>)f Fs(0)k(for)f(all)h Fp(f)33 b Fi(2)25 b(F)8 b
Fs(\()p Fp(C)e Fs(\),)29 b(the)456 1048 y(requiremen)n(t)d(\(6\))i
(follo)n(ws)f(easily)-7 b(,)27 b(and)g(therefore)g(a)g(maxim)n(um)g(en)
n(trop)n(y)g(solution)g(exists.)555 1197 y(Ho)n(w)n(ev)n(er,)37
b(the)f(empirical)g(measure)f(in)h(itself)h(has)e(limited)i(predictiv)n
(e)f(v)-5 b(alue,)38 b(since)e(it)456 1347 y(places)27
b(all)g(of)h(its)g(mass)f(on)g(the)h(tok)n(ens)f(observ)n(ed)f(in)i
(the)g(training)f(corpus)g Fp(C)6 b Fs(.)38 b(T)-7 b(o)27
b(impro)n(v)n(e)456 1496 y(this)35 b(de\014ciency)-7
b(,)37 b(It)e(mak)n(es)f(sense)g(to)h(only)g(consider)f(the)h
(empirical)f(measure)g(as)h(a)f(go)r(o)r(d)456 1646 y(mo)r(del)25
b(of)g(some)g(putativ)n(e)g Fm(Q)d Fi(2)i Fs(\005)1551
1658 y Fl(C)1607 1646 y Fs(,)i Fq(c)l(onditional)t(ly)k(on)d(observing)
i(only)f(the)g(tokens)f(b)l(elong-)456 1795 y(ing)32
b(to)f Fi(F)8 b Fs(\()p Fp(C)e Fs(\).)45 b(This)29 b(constrain)n(t)g
(is)h(actually)f(su\016cien)n(t)h(to)f(deriv)n(e)g(suitable)h(constan)n
(ts)e Fp(a)3378 1807 y Fl(f)3421 1795 y Fs(,)456 1944
y(as)f(follo)n(ws:)555 2094 y(According)32 b(to)h(this)g(assumption,)h
(let)f Fp(A)g Fs(=)e Fi(f)p Fp(!)j Fs(:)e Fp(f)9 b Fs(\()p
Fp(!)s Fs(\))32 b Fp(>)g Fs(0)g(for)27 b(all)33 b Fp(f)41
b Fi(2)32 b(F)8 b Fs(\()p Fp(C)e Fs(\))p Fi(g)p Fs(.)53
b(The)456 2243 y(empirical)24 b(measure)g(has)h(supp)r(ort)g(on)f
Fp(A)p Fs(.)37 b(F)-7 b(or)24 b(an)n(y)g(feature)h Fp(f)32
b Fi(2)23 b(F)8 b Fs(\()p Fp(C)e Fs(\),)27 b(w)n(e)d(therefore)h(write)
593 2354 y Fh(Z)690 2467 y Fp(f)9 b Fs(\()p Fp(!)s Fs(\))p
Fp(d)p Fm(Q)p Fs(\()p Fp(!)s Fs(\))23 b(=)1197 2354 y
Fh(Z)1294 2467 y Fp(f)9 b Fs(\()p Fp(!)s Fs(\))p Fp(d)p
Fm(Q)p Fs(\()p Fp(!)s Fi(j)p Fp(A)p Fs(\))18 b Fi(\001)h
Fm(Q)p Fs(\()p Fp(A)p Fs(\))g(+)f(0)g Fi(\001)g Fm(Q)p
Fs(\()p Fp(A)2388 2433 y Fl(c)2422 2467 y Fs(\))23 b
Fi(\031)g Fs(\()p Fp(f)9 b Fs(\()p Fp(C)d Fs(\))p Fp(=\037)p
Fs(\()p Fp(C)g Fs(\)\))20 b Fi(\001)e Fm(Q)p Fs(\()p
Fp(A)p Fs(\))p Fp(:)456 2691 y Fs(Th)n(us,)27 b(if)h(w)n(e)e(tak)n(e)h
Fp(a)1110 2703 y Fl(f)1176 2691 y Fs(=)c Fp(f)9 b Fs(\()p
Fp(C)d Fs(\),)28 b(then)f(w)n(e)g(obtain)g(a)g(satisfactory)f(set)h
(\005)2766 2703 y Fl(C)2822 2691 y Fs(,)h(con)n(taining)e(b)r(oth)456
2841 y(the)34 b(empirical)f(measure)g(and)h(a)f(range)f(of)i(p)r
(ossibilities)g(whic)n(h)g(tak)n(e)f(unseen)h(tok)n(ens)f(in)n(to)456
2990 y(accoun)n(t)26 b(\(in)i(those)g(cases,)e Fm(Q)p
Fs(\()p Fp(A)p Fs(\))e Fp(<)e Fs(1\).)1053 3252 y(6.)41
b Fr(Maximum)31 b(Entr)n(opy:)40 b(the)32 b(sequential)f(case)555
3451 y Fs(In)d(this)g(section,)g(w)n(e)f(generalize)f(the)i(maxim)n(um)
g(en)n(trop)n(y)f(problem)g(to)h(handle)f(the)h(case)456
3600 y(of)j Fp(n)p Fs(-grams.)45 b(Unfortunately)-7 b(,)32
b(for)e Fp(n)f Fi(\025)f Fs(2,)j(the)h(set)f Fp(G)g Fs(is)g(no)g
(longer)e Fq(simple)p Fs(,)k(and)e(w)n(orking)456 3750
y(in)c(terms)h(of)f(admissible)h(strings)e(is)i(di\016cult.)456
3987 y Fx(De\014nition)43 b(4.)k Fq(A)39 b(set)g(of)h(r)l(e)l(gular)g
(expr)l(essions)g Fp(G)f Fq(is)h(c)l(al)t(le)l(d)h Fs(sequen)n(tial)e
Fq(if,)k(wenever)d(a)456 4136 y(string)30 b(of)h(the)f(form)h
Fp(x)1177 4148 y Fn(1)1233 4136 y Fi(\005)19 b(\001)14
b(\001)g(\001)k(\005)g Fp(x)1516 4148 y Fl(n)1592 4136
y Fq(is)31 b(matche)l(d)g(\(with)f(e)l(ach)i Fp(x)2456
4148 y Fl(i)2514 4136 y Fq(not)e(c)l(ontaining)g(the)h(symb)l(ol)456
4286 y Fi(\005)p Fq(\),)h(then)g(al)t(l)h(subsets)e(of)i(the)f(form)g
Fp(x)1668 4298 y Fl(k)1729 4286 y Fi(\005)20 b(\001)14
b(\001)g(\001)20 b(\005)f Fp(x)2016 4298 y Fl(k)q Fn(+)p
Fl(j)2139 4286 y Fq(,)33 b(for)g Fs(1)26 b Fi(\024)h
Fp(k)j Fi(\024)c Fp(n)32 b Fq(and)g Fs(0)27 b Fi(\024)f
Fp(j)32 b Fi(\024)27 b Fp(n)20 b Fi(\000)f Fp(k)s Fq(,)456
4435 y(ar)l(e)38 b(also)g(matche)l(d.)63 b(We)38 b(write)g
Fi(F)1602 4447 y Fl(j)1636 4435 y Fs(\()p Fp(G)p Fs(\))h
Fq(for)f(the)g(subset)f(of)h Fi(F)8 b Fs(\()p Fp(G)p
Fs(\))38 b Fq(which)i(is)d(of)i(the)f(form)456 4585 y
Fp(f)497 4597 y Fl(a)533 4605 y Fk(1)565 4597 y Fg(\005\001\001\001)o
(\005)p Fl(a)728 4605 y Fj(j)763 4585 y Fq(.)555 4821
y Fs(F)-7 b(or)28 b(a)h(\014xed)f Fp(\037)p Fs(,)h(w)n(e)g(shall)f(w)n
(ork)f(with)j(strings)d(of)i(the)g(form)g Fp(s)24 b Fs(=)h
Fp(x)2702 4833 y Fn(1)2759 4821 y Fi(\005)19 b(\001)14
b(\001)g(\001)19 b(\005)f Fp(x)3043 4833 y Fl(\037)3118
4821 y Fs(only)-7 b(.)40 b(W)-7 b(e)456 4971 y(write)1381
5143 y Fm(R)1441 5155 y Fl(C)1497 5075 y Fh(\000)1535
5143 y Fp(x)1582 5155 y Fn(1)1638 5143 y Fi(\005)18 b(\001)c(\001)g
(\001)19 b(\005)f Fp(x)1921 5155 y Fl(\037)1967 5075
y Fh(\001)2028 5143 y Fs(=)2149 5035 y Fl(\037)2116 5064
y Fh(Y)2116 5240 y Fl(i)p Fn(=1)2237 5143 y Fp(R)2300
5155 y Fl(C)2356 5143 y Fs(\()p Fp(x)2435 5155 y Fl(i)2463
5143 y Fs(\))p Fp(;)p eop end
%%Page: 12 12
TeXDict begin 12 11 bop 456 251 a Fn(12)1212 b(L.A.)22
b(BREYER)456 450 y Fs(whic)n(h)27 b(is)f(compatible)h(with)h(the)f
(earlier)f(de\014nition)h(if)h Fp(G)f Fs(is)g Fq(simple)h
Fs(\(if)g(w)n(e)e(iden)n(tify)i Fi(F)3250 462 y Fn(1)3287
450 y Fs(\()p Fp(G)p Fs(\)-)456 600 y(equiv)-5 b(alen)n(t)28
b(strings)f(w)n(e)g(obtain)h(the)h(earlier)e(de\014nition\).)39
b(Consider)27 b(also)g(the)h(sets)g(of)g(prob-)456 749
y(abilit)n(y)f(measures)656 992 y(\005)718 1004 y Fl(k)782
992 y Fs(=)870 925 y Fh(\010)918 992 y Fm(Q)c Fs(:)1052
879 y Fh(Z)1149 992 y Fp(f)9 b(d)p Fm(Q)22 b Fi(\024)h
Fp(a)1461 1004 y Fl(f)1504 992 y Fp(;)97 b(f)31 b Fi(2)24
b(F)8 b Fs(\()p Fp(C)e Fs(\))19 b Fi(\\)2065 925 y Fh(\000)2103
992 y Fi([)2158 958 y Fl(k)2158 1013 y(j)s Fn(=1)2277
992 y Fi(F)2337 1004 y Fl(j)2372 992 y Fs(\()p Fp(G)p
Fs(\))2501 925 y Fh(\001)q(\011)2588 992 y Fp(;)97 b(k)26
b Fs(=)d(1)p Fp(;)14 b Fs(2)p Fp(;)g(:)g(:)g(:)e(;)i(\037;)456
1236 y Fs(whic)n(h)30 b(are)f(clearly)h(decreasing)e(\(assuming)i(the)h
(constrain)n(ts)e Fp(a)2522 1248 y Fl(f)2595 1236 y Fs(are)h(consisten)
n(t\).)45 b(By)30 b(the)456 1385 y(Pythagorean)23 b(theorem)j(of)g
(Kullbac)n(k-Leibler)e(div)n(ergences,)h(the)h(maxim)n(um)g(en)n(trop)n
(y)f(solu-)456 1535 y(tion)i Fm(P)677 1547 y Fl(C;k)809
1535 y Fi(2)c Fs(\005)949 1547 y Fl(k)1018 1535 y Fs(\(relativ)n(e)k
(to)g Fm(R)1507 1547 y Fl(C)1563 1535 y Fs(\))h(has)f(the)h(recursiv)n
(e)e(form)817 1806 y Fp(d)p Fm(P)911 1818 y Fl(C;m)1041
1806 y Fs(\()p Fp(s)p Fs(\))e(=)f Fp(d)p Fm(P)1350 1818
y Fl(C)1405 1806 y Fs(\()p Fp(s)p Fs(\))h(=)f Fp(Z)1683
1770 y Fg(\000)p Fn(1)1677 1830 y Fl(C;m)1852 1702 y(m)1828
1727 y Fh(Y)1821 1906 y Fl(k)q Fn(=1)1956 1806 y Fs(exp)2082
1664 y Fh(")2307 1727 y(X)2131 1909 y Fl(f)7 b Fg(2F)2263
1918 y Fj(k)2298 1909 y Fn(\()p Fl(G)p Fn(\))p Fg(\\F)f
Fn(\()p Fl(C)t Fn(\))2617 1806 y Fp(\025)2665 1818 y
Fl(f)2709 1806 y Fp(f)j Fs(\()p Fp(s)p Fs(\))2862 1664
y Fh(#)2910 1806 y Fp(d)p Fm(R)3013 1818 y Fl(C)3069
1806 y Fs(\()p Fp(s)p Fs(\))p Fp(;)-2739 b Fs(\(11\))1532
2123 y(=)1635 2102 y Fh(e)1620 2123 y Fp(Z)1683 2087
y Fg(\000)p Fn(1)1677 2147 y Fl(C;m)1821 2123 y Fs(exp)1948
1981 y Fh(")2182 2044 y(X)1996 2226 y Fl(f)7 b Fg(2F)2128
2234 y Fj(m)2183 2226 y Fn(\()p Fl(G)p Fn(\))p Fg(\\F)f
Fn(\()p Fl(C)t Fn(\))2502 2123 y Fp(\025)2550 2135 y
Fl(f)2593 2123 y Fp(f)j Fs(\()p Fp(s)p Fs(\))2746 1981
y Fh(#)2795 2123 y Fp(d)p Fm(P)2889 2135 y Fl(C;m)p Fg(\000)p
Fn(1)3104 2123 y Fs(\()p Fp(s)p Fs(\))p Fp(;)456 2413
y Fs(whic)n(h)26 b(implies)h(that)g(w)n(e)f(can)h(calculate)f(the)h(w)n
(eigh)n(ts)e Fp(\025)2254 2425 y Fl(f)2298 2413 y Fp(;)14
b(f)31 b Fi(2)24 b(F)8 b Fs(\()p Fp(C)e Fs(\))17 b Fi(\\)g(F)2832
2425 y Fl(k)2873 2413 y Fs(\()p Fp(G)p Fs(\))27 b(inductiv)n(ely)-7
b(,)456 2563 y(through)26 b(optimization)i(of)456 2806
y(\(12\))500 b Fi(\000)14 b Fs(log)1318 2785 y Fh(e)1303
2806 y Fp(Z)1360 2818 y Fl(C;k)1487 2806 y Fs(+)1746
2727 y Fh(X)1570 2909 y Fl(f)7 b Fg(2F)f Fn(\()p Fl(C)t
Fn(\))p Fg(\\F)1905 2918 y Fj(k)1939 2909 y Fn(\()p Fl(G)p
Fn(\))2057 2806 y Fp(\025)2105 2818 y Fl(f)2148 2806
y Fp(a)2192 2818 y Fl(f)2235 2806 y Fp(;)97 b(k)26 b
Fs(=)c(1)p Fp(;)14 b(:)g(:)g(:)f(m:)456 3115 y Fs(Due)31
b(to)g(the)g(form)n(ula)f(log)14 b Fp(Z)1370 3127 y Fl(C;k)1507
3115 y Fs(=)29 b(log)1737 3094 y Fh(e)1722 3115 y Fp(Z)1779
3127 y Fl(C;k)1908 3115 y Fs(+)20 b(log)14 b Fp(Z)2171
3127 y Fl(C;k)q Fg(\000)p Fn(1)2364 3115 y Fs(,)32 b(the)g(optimal)f
(set)g(of)f(constan)n(ts)456 3264 y Fp(\025)504 3276
y Fl(f)547 3264 y Fs(,)d(at)g(the)h Fp(k)s Fs(-th)f(stage)f(of)h
(optimization,)f(remains)h(the)g(same)f(if)i(w)n(e)e(replace)g(log)3106
3243 y Fh(e)3091 3264 y Fp(Z)3148 3276 y Fl(C;k)3283
3264 y Fs(with)456 3414 y(log)14 b Fp(Z)634 3426 y Fl(C;k)770
3414 y Fs(in)28 b(\(12\))o(.)37 b(T)-7 b(o)27 b(compute)h
Fp(Z)1590 3426 y Fl(C;k)1698 3414 y Fs(,)g(w)n(e)f(note)h(\014rst)f
(that)h(for)f(an)n(y)g Fp(k)f(<)d(m)f Fi(\024)h Fp(\037)p
Fs(,)642 3616 y Fh(X)552 3794 y Fl(b)581 3803 y Fj(k)q
Fk(+1)689 3794 y Fl(;:::)o(b)797 3802 y Fj(m)866 3695
y Fp(f)907 3707 y Fl(a)943 3715 y Fk(1)975 3707 y Fg(\005\001\001\001)o
(\005)p Fl(a)1138 3716 y Fj(k)1174 3707 y Fg(\005)p Fl(b)1237
3716 y Fj(k)q Fk(+1)1345 3707 y Fg(\005\001\001\001)o(\005)p
Fl(b)1501 3715 y Fj(m)1561 3695 y Fs(\()p Fp(s)p Fs(\))g
Fi(\024)g Fp(f)1816 3707 y Fl(a)1852 3715 y Fk(1)1884
3707 y Fg(\005\001\001\001)o(\005)p Fl(a)2047 3716 y
Fj(k)2087 3695 y Fs(\()p Fp(s)p Fs(\))h Fi(\024)1995
3877 y Fh(X)1905 4056 y Fl(b)1934 4065 y Fj(k)q Fk(+1)2041
4056 y Fl(;:::)o(b)2149 4064 y Fj(m)2219 3956 y Fp(f)2260
3968 y Fl(a)2296 3976 y Fk(1)2328 3968 y Fg(\005\001\001\001)o(\005)p
Fl(a)2491 3977 y Fj(k)2527 3968 y Fg(\005)p Fl(b)2590
3977 y Fj(k)q Fk(+1)2697 3968 y Fg(\005\001\001\001\005)p
Fl(b)2854 3976 y Fj(m)2913 3956 y Fs(\()p Fp(s)p Fs(\))19
b(+)f Fp(m)g Fi(\000)g Fp(k)s(;)456 4240 y Fs(and)23
b(the)g(\014rst)g(inequalit)n(y)f(is)h(strict)g(only)g(if)h
Fp(a)1884 4252 y Fn(1)1930 4240 y Fi(\005)9 b(\001)14
b(\001)g(\001)9 b(\005)g Fp(a)2182 4252 y Fl(k)2246 4240
y Fs(o)r(ccurs)22 b(within)i(the)g(su\016x)f Fp(x)3153
4252 y Fl(\037)p Fg(\000)p Fl(m)p Fn(+1)3403 4240 y Fi(\005)456
4389 y(\001)14 b(\001)g(\001)k(\005)g Fp(x)678 4401 y
Fl(\037)752 4389 y Fs(of)27 b(the)h(string)f Fp(s)p Fs(.)37
b(In)28 b(particular,)e(w)n(e)h(ha)n(v)n(e)456 4633 y(\(13\))955
4554 y Fh(X)895 4728 y Fl(a)931 4736 y Fk(1)963 4728
y Fl(;:::)o(;a)1098 4737 y Fj(k)1148 4633 y Fp(\025)1196
4645 y Fl(a)1232 4653 y Fk(1)1265 4645 y Fg(\005\001\001\001)o(\005)p
Fl(a)1428 4654 y Fj(k)1469 4633 y Fp(f)1510 4645 y Fl(a)1546
4653 y Fk(1)1578 4645 y Fg(\005\001\001\001)o(\005)p
Fl(a)1741 4654 y Fj(k)1781 4633 y Fs(\()p Fp(s)p Fs(\))d
Fi(\031)2058 4554 y Fh(X)1995 4733 y Fl(b)2024 4741 y
Fk(1)2057 4733 y Fl(;:::)o(;b)2185 4741 y Fj(m)2254 4633
y Fp(\025)2302 4645 y Fl(b)2331 4653 y Fk(1)2364 4645
y Fg(\005\001\001\001)o(\005)p Fl(b)2520 4654 y Fj(k)2561
4633 y Fp(f)2602 4645 y Fl(b)2631 4653 y Fk(1)2663 4645
y Fg(\005\001\001\001)o(\005)p Fl(b)2819 4653 y Fj(m)2879
4633 y Fs(\()p Fp(s)p Fs(\))p Fp(;)456 4917 y Fs(with)h(an)h(error)d
(at)i(most)g(max)1412 4929 y Fl(t)1455 4917 y Fi(j)p
Fp(\025)1526 4929 y Fl(t)1556 4917 y Fi(j)13 b Fs(\()p
Fp(m)i Fi(\000)e Fp(k)s Fs(\).)36 b(T)-7 b(o)25 b(ease)g(the)h
(notation,)f(when)h Fp(f)31 b Fs(=)23 b Fp(f)3131 4929
y Fl(a)3167 4937 y Fk(1)3199 4929 y Fg(\005\001\001\001)o(\005)p
Fl(a)3362 4937 y Fj(m)3421 4917 y Fs(,)456 5066 y(w)n(e)j(write)g
Fp(\034)833 5036 y Fl(j)869 5066 y Fp(f)32 b Fs(=)22
b Fp(f)1070 5078 y Fl(a)1106 5086 y Fk(1)1138 5078 y
Fg(\005\001\001\001)o(\005)p Fl(a)1301 5086 y Fj(m)p
Fc(\000)p Fj(j)1459 5066 y Fs(for)k Fp(j)i Fs(=)23 b(1)p
Fp(;)14 b(:)g(:)g(:)f(;)h(m)i Fi(\000)g Fs(1.)37 b(Also,)26
b Fp(f)2483 5078 y Fl(t)2528 5066 y Fi(\005)16 b Fp(y)26
b Fs(=)d Fp(f)2782 5078 y Fl(t)p Fg(\005)p Fl(y)2880
5066 y Fs(.)37 b(A)27 b(geometrical)456 5216 y(w)n(a)n(y)f(of)i
(understanding)e(this)i(appro)n(ximation)e(is)i(giv)n(en)e(in)i(Figure)
f(1.)p eop end
%%Page: 13 13
TeXDict begin 13 12 bop 1428 251 a Fn(THE)30 b(DBA)n(CL)g(TEXT)f
(CLASSIFIER)906 b(13)1122 472 y Fs(\()p Fp(k)26 b Fs(=)d(3\))536
b Fp(\025)1969 484 y Fn(123)2156 472 y Fp(\025)2204 484
y Fn(234)2391 472 y Fp(\025)2439 484 y Fn(345)2626 472
y Fp(\025)2674 484 y Fn(456)p 1996 666 4 150 v 2230 666
V 2465 666 V 2700 666 V 1122 771 a Fs(\()p Fp(k)26 b
Fs(=)d(2\))335 b Fp(\025)1768 783 y Fn(12)1938 771 y
Fp(\025)1986 783 y Fn(23)2173 771 y Fp(\025)2221 783
y Fn(34)2408 771 y Fp(\025)2456 783 y Fn(45)2643 771
y Fp(\025)2691 783 y Fn(56)p 1996 965 V 2230 965 V 2465
965 V 2700 965 V 1122 1069 a Fs(\()p Fp(k)26 b Fs(=)d(1\))166
b Fp(\025)1599 1081 y Fn(1)1736 1069 y Fp(\025)1784 1081
y Fn(2)1954 1069 y Fp(\025)2002 1081 y Fn(3)2189 1069
y Fp(\025)2237 1081 y Fn(4)2424 1069 y Fp(\025)2472 1081
y Fn(5)2659 1069 y Fp(\025)2707 1081 y Fn(6)754 1284
y Fr(Figure)36 b(1.)41 b Fs(Appro)n(ximation)31 b(\(13\))o(:)45
b(F)-7 b(or)30 b(an)n(y)h(string)g Fp(s)e Fs(=)g Fp(a)2741
1296 y Fn(1)2799 1284 y Fi(\005)20 b(\001)14 b(\001)g(\001)21
b(\005)f Fp(a)3085 1296 y Fn(6)3122 1284 y Fs(,)754 1434
y(arrange)h(the)i(w)n(eigh)n(ts)f(for)g(all)h(1)p Fp(;)14
b Fs(2)p Fp(;)g Fs(3-grams)19 b(in)k(an)g(arra)n(y)d(as)i(ab)r(o)n(v)n
(e.)34 b(Then)754 1583 y(for)28 b(eac)n(h)f(ro)n(w)f
Fp(k)s Fs(,)i(the)g(left)h(hand)e(side)h(of)34 b(\(13\))28
b(is)f(the)h(sum)g(of)g(w)n(eigh)n(ts)f(on)754 1733 y(that)38
b(ro)n(w,)h(while)f(the)g(righ)n(t)e(hand)i(side)f(of)44
b(\(13\))38 b(is)f(the)h(sum)f(of)h(those)754 1882 y(w)n(eigh)n(ts)28
b(whic)n(h)g(ha)n(v)n(e)f(a)g(w)n(eigh)n(t)h(ab)r(o)n(v)n(e)f(them)h
(on)g(ro)n(w)f Fp(m)d Fs(=)f(3.)38 b(The)28 b(sum)754
2032 y(of)39 b(the)g(w)n(eigh)n(ts)e(along)h(eac)n(h)g(line)g(has)g
(the)h(form)f Fp(\025)2486 2044 y Fl(xy)r(z)2624 2032
y Fs(+)25 b Fp(\025)2762 2044 y Fl(y)r(z)2863 2032 y
Fs(+)g Fp(\025)3001 2044 y Fl(z)3081 2032 y Fs(=)754
2181 y Fp(\025)802 2193 y Fl(xy)r(z)933 2181 y Fs(+)18
b Fp(\025)1064 2196 y Fl(\034)1102 2179 y Fk(1)1134 2196
y Fn(\()p Fl(xy)r(z)r Fn(\))1316 2181 y Fs(+)g Fp(\025)1447
2196 y Fl(\034)1485 2179 y Fk(2)1517 2196 y Fn(\()p Fl(xy)r(z)r
Fn(\))1681 2181 y Fs(.)555 2448 y(No)n(w)24 b(from)h(\(13\))o(,)h(b)n
(y)e(summing)h(o)n(v)n(er)e(all)h(strings)g Fp(s)h Fs(of)f(the)h(form)g
Fp(x)2685 2460 y Fn(1)2735 2448 y Fi(\005)13 b(\001)h(\001)g(\001)e
(\005)h Fp(x)3001 2460 y Fl(\037)3046 2448 y Fs(,)25
b(w)n(e)g(obtain)456 2597 y(for)i(large)f(v)-5 b(alues)27
b(of)h Fp(\037)p Fs(,)618 2842 y Fp(Z)675 2854 y Fl(C;k)806
2842 y Fs(=)23 b Fp(Z)951 2854 y Fl(C;k)q Fg(\000)p Fn(1)1158
2763 y Fh(X)1202 2938 y Fl(s)1292 2842 y Fs(exp)1419
2700 y Fh(")1643 2763 y(X)1467 2945 y Fl(f)7 b Fg(2F)1599
2954 y Fj(k)1635 2945 y Fn(\()p Fl(G)p Fn(\))p Fg(\\F)f
Fn(\()p Fl(C)t Fn(\))1954 2842 y Fp(\025)2002 2854 y
Fl(f)2045 2842 y Fp(f)j Fs(\()p Fp(s)p Fs(\))2198 2700
y Fh(#)2247 2842 y Fp(d)p Fm(P)2341 2854 y Fl(C;k)q Fg(\000)p
Fn(1)2534 2842 y Fs(\()p Fp(s)p Fs(\))806 3166 y Fi(\031)894
3087 y Fh(X)938 3262 y Fl(s)1028 3166 y Fs(exp)1154 3024
y Fh(")1278 3087 y(X)1203 3269 y Fl(f)e Fg(2F)1335 3278
y Fj(k)1370 3269 y Fn(\()p Fl(G)p Fn(\))1474 3074 y Fh(\020)1524
3166 y Fp(\025)1572 3178 y Fl(f)1615 3166 y Fs(1)1657
3181 y Fg(f)p Fl(f)g Fg(2F)f Fn(\()p Fl(C)t Fn(\))p Fg(g)1988
3166 y Fs(+)2071 3062 y Fl(k)q Fg(\000)p Fn(1)2072 3087
y Fh(X)2074 3264 y Fl(j)s Fn(=1)2206 3166 y Fp(\025)2254
3182 y Fl(\034)2292 3165 y Fj(j)2323 3182 y Fl(f)2366
3166 y Fs(1)2408 3182 y Fg(f)p Fl(\034)2480 3165 y Fj(j)2510
3182 y Fl(f)h Fg(2F)f Fn(\()p Fl(C)t Fn(\))p Fg(g)2789
3074 y Fh(\021)2838 3166 y Fp(f)j Fs(\()p Fp(s)p Fs(\))2991
3024 y Fh(#)3040 3166 y Fm(R)3100 3178 y Fl(C)3156 3166
y Fs(\()p Fp(s)p Fs(\))p Fp(:)456 3446 y Fs(As)36 b(a)g(notational)f
(simpli\014cation,)j(b)r(elo)n(w)e(w)n(e)g(shall)g(write)g
Fp(\025)2463 3416 y Fl(C)2463 3469 y(f)2557 3446 y Fs(=)h
Fp(\025)2707 3458 y Fl(f)2787 3446 y Fs(if)f Fp(f)46
b Fi(2)38 b(F)8 b Fs(\()p Fp(C)e Fs(\),)40 b(and)456
3595 y Fp(\025)504 3565 y Fl(C)504 3619 y(f)583 3595
y Fs(=)23 b(0)k(otherwise.)555 3745 y(No)n(w)j(for)h(eac)n(h)e
Fp(s)p Fs(,)j(the)f(substrings)f Fp(x)1751 3757 y Fn(1)1788
3745 y Fp(;)14 b(:)g(:)g(:)g(;)g(x)2020 3757 y Fl(\037)2097
3745 y Fs(are)29 b(indep)r(enden)n(t)j(under)e Fm(R)3010
3757 y Fl(C)3066 3745 y Fs(,)i(and)e(eac)n(h)456 3894
y Fp(f)41 b Fi(2)34 b(F)687 3906 y Fl(k)727 3894 y Fs(\()p
Fp(G)p Fs(\))h(dep)r(ends)f(only)f(on)g(consecutiv)n(e)g(substrings)f
Fp(x)2418 3906 y Fl(t)2448 3894 y Fp(;)14 b(:)g(:)g(:)g(;)g(x)2680
3906 y Fl(t)p Fn(+)p Fl(k)2797 3894 y Fs(.)55 b(Therefore,)34
b(b)n(y)f(a)456 4044 y(simple)27 b(mo)r(di\014cation)h(of)f(the)h
(standard)f(Sano)n(v)f(theorem,)535 4445 y(lim)506 4495
y Fl(\037)p Fg(!1)679 4445 y Fs(\()p Fp(\037)19 b Fi(\000)f
Fp(k)j Fs(+)d(1\))1086 4411 y Fg(\000)p Fn(1)1175 4445
y Fs(log)c Fp(Z)1353 4457 y Fl(C;k)1485 4445 y Fs(=)22
b(sup)1616 4511 y Fl(\027)1697 4303 y Fh( )1763 4332
y(Z)1809 4521 y Fg(F)1857 4530 y Fj(k)1893 4521 y Fn(\()p
Fl(G)p Fn(\))2001 4353 y Fh(h)2040 4445 y Fp(\025)2088
4411 y Fl(C)2088 4466 y(f)2163 4445 y Fs(+)2246 4342
y Fl(k)q Fg(\000)p Fn(1)2247 4366 y Fh(X)2249 4543 y
Fl(j)s Fn(=1)2381 4445 y Fp(\025)2429 4411 y Fl(C)2429
4469 y(\034)2467 4452 y Fj(j)2498 4469 y Fl(f)2541 4353
y Fh(i)2580 4445 y Fp(\027)5 b Fs(\()p Fp(d)-14 b(f)9
b Fs(\))20 b Fi(\000)2884 4389 y Fs(1)p 2882 4426 46
4 v 2882 4502 a Fp(k)2937 4445 y(D)3008 4378 y Fh(\000)3046
4445 y Fp(\027)5 b Fi(k)p Fp(R)3198 4410 y Fg(\012)p
Fl(k)3197 4470 y(C)3291 4378 y Fh(\001)3329 4303 y(!)456
4236 y Fs(\(14\))1485 4761 y(=)1585 4705 y(1)p 1582 4742
V 1582 4818 a Fp(k)1652 4761 y Fs(log)1759 4619 y Fh(")1883
4682 y(X)1808 4864 y Fl(f)i Fg(2F)1940 4873 y Fj(k)1975
4864 y Fn(\()p Fl(G)p Fn(\))2093 4761 y Fs(exp)2219 4669
y Fh(\020)2269 4761 y Fp(k)s(\025)2363 4727 y Fl(C)2363
4781 y(f)2438 4761 y Fs(+)2521 4657 y Fl(k)q Fg(\000)p
Fn(1)2521 4682 y Fh(X)2524 4859 y Fl(j)s Fn(=1)2656 4761
y Fp(k)s(\025)2750 4727 y Fl(C)2750 4784 y(\034)2788
4768 y Fj(j)2819 4784 y Fl(f)2862 4669 y Fh(\021)2911
4761 y Fp(R)2975 4725 y Fg(\012)p Fl(k)2974 4785 y(C)3068
4761 y Fs(\()p Fp(f)i Fs(\))3182 4619 y Fh(#)3230 4761
y Fp(;)456 5066 y Fs(b)r(ecause)26 b(the)g(optimal)h
Fp(\027)32 b Fs(for)25 b(a)h(problem)g(of)h(the)g(form)f(max)2380
5078 y Fl(\027)2422 4974 y Fh(\020)2471 4999 y(R)2540
5066 y Fp(hd\027)c Fi(\000)16 b Fp(D)r Fs(\()p Fp(\027)5
b Fi(k)p Fp(\026)p Fs(\))3048 4974 y Fh(\021)3124 5066
y Fs(is)26 b(alw)n(a)n(ys)456 5216 y(giv)n(en)g(b)n(y)i
Fp(d\027)g Fs(=)23 b Fp(e)1027 5185 y Fl(h)1070 5216
y Fp(d\026=)1219 5149 y Fh(R)1287 5216 y Fp(e)1326 5185
y Fl(h)1369 5216 y Fp(d\026)p Fs(.)p eop end
%%Page: 14 14
TeXDict begin 14 13 bop 456 251 a Fn(14)1212 b(L.A.)22
b(BREYER)555 450 y Fs(While)31 b(the)f(term)g(in)h(square)e(brac)n(k)n
(ets)f(still)i(m)n(ust)h(b)r(e)f(ev)-5 b(aluated)30 b(o)n(v)n(er)e(all)
i(p)r(ossible)g(fea-)456 600 y(tures)c Fp(f)32 b Fi(2)23
b(F)874 612 y Fl(k)915 600 y Fs(\()p Fp(G)p Fs(\),)28
b(a)f(simpli\014cation)g(is)g(p)r(ossible)g(b)n(y)f(noting)h(that)h(it)
f(equals)g(\010)3017 612 y Fl(C;k)q(;k)3182 600 y Fs(,)g(where)456
858 y(\(15\))490 b(\010)1154 870 y Fl(C;k)q(;l)1327 858
y Fs(:=)1507 779 y Fh(X)1438 961 y Fl(f)7 b Fg(2F)1570
970 y Fj(l)1593 961 y Fn(\()p Fl(G)p Fn(\))1710 858 y
Fs(exp)1837 766 y Fh(\020)1887 858 y Fp(k)s(\025)1981
824 y Fl(C)1981 878 y(f)2055 858 y Fs(+)2145 754 y Fl(l)p
Fg(\000)p Fn(1)2138 779 y Fh(X)2141 956 y Fl(j)s Fn(=1)2272
858 y Fp(k)s(\025)2366 824 y Fl(C)2366 881 y(\034)2404
864 y Fj(j)2435 881 y Fl(f)2478 766 y Fh(\021)2527 858
y Fp(R)2591 822 y Fg(\012)p Fl(l)2590 882 y(C)2668 858
y Fs(\()p Fp(f)i Fs(\))p Fp(:)456 1136 y Fs(Since)30
b(most)g(of)g(the)g(constan)n(ts)f Fp(\025)1541 1106
y Fl(C)1541 1159 y(f)1628 1136 y Fs(are)g(zero,)g(w)n(e)h(can)g(expand)
f(this)i(recursiv)n(ely)-7 b(,)29 b(with)h(the)456 1285
y(b)r(oundary)c(case)h(\010)1065 1297 y Fl(C;k)q(;)p
Fn(0)1250 1285 y Fs(=)22 b(1:)456 1543 y(\010)516 1555
y Fl(C;k)q(;l)688 1543 y Fs(=)802 1464 y Fh(X)776 1651
y Fl(\025)815 1631 y Fj(C)815 1671 y(f)864 1651 y Fg(6)p
Fn(=0)962 1543 y Fs(exp)1088 1451 y Fh(\020)1138 1543
y Fp(k)s(\025)1232 1509 y Fl(C)1232 1564 y(f)1307 1543
y Fs(+)1396 1440 y Fl(l)p Fg(\000)p Fn(1)1390 1464 y
Fh(X)1392 1641 y Fl(j)s Fn(=1)1523 1543 y Fp(k)s(\025)1617
1509 y Fl(C)1617 1567 y(\034)1655 1550 y Fj(j)1686 1567
y Fl(f)1729 1451 y Fh(\021)1779 1543 y Fp(R)1843 1508
y Fg(\012)p Fl(l)1842 1568 y(C)1920 1543 y Fs(\()p Fp(f)9
b Fs(\))18 b(+)2161 1464 y Fh(X)2135 1651 y Fl(\025)2174
1631 y Fj(C)2174 1671 y(f)2223 1651 y Fn(=0)2321 1543
y Fs(exp)2448 1451 y Fh(\020)2497 1543 y Fp(k)s(\025)2591
1509 y Fl(C)2591 1564 y(f)2666 1543 y Fs(+)g Fp(k)2815
1440 y Fl(l)p Fg(\000)p Fn(1)2809 1464 y Fh(X)2811 1641
y Fl(j)s Fn(=1)2942 1543 y Fp(\025)2990 1509 y Fl(C)2990
1567 y(\034)3028 1550 y Fj(j)3059 1567 y Fl(f)3102 1451
y Fh(\021)3152 1543 y Fp(R)3216 1508 y Fg(\012)p Fl(l)3215
1568 y(C)3293 1543 y Fs(\()p Fp(f)9 b Fs(\))688 1886
y(=)802 1807 y Fh(X)776 1994 y Fl(\025)815 1974 y Fj(C)815
2014 y(f)864 1994 y Fg(6)p Fn(=0)962 1886 y Fs(exp)1088
1794 y Fh(\020)1138 1886 y Fp(k)s(\025)1232 1852 y Fl(C)1232
1906 y(f)1307 1886 y Fs(+)1396 1782 y Fl(l)p Fg(\000)p
Fn(1)1390 1807 y Fh(X)1392 1984 y Fl(j)s Fn(=1)1523 1886
y Fp(k)s(\025)1617 1852 y Fl(C)1617 1909 y(\034)1655
1892 y Fj(j)1686 1909 y Fl(f)1729 1794 y Fh(\021)1779
1886 y Fp(R)1843 1850 y Fg(\012)p Fl(l)1842 1910 y(C)1920
1886 y Fs(\()p Fp(f)g Fs(\)+)845 2149 y Fh(X)887 2324
y Fl(y)1063 2149 y Fh(X)979 2336 y Fl(\025)1018 2316
y Fj(C)1018 2366 y(\034)1051 2354 y Fk(1)1084 2366 y
Fj(f)c Fc(\005)p Fj(y)1184 2336 y Fn(=0)1282 2228 y Fs(exp)1408
2136 y Fh(\020)1458 2228 y Fp(k)s(\025)1552 2194 y Fl(C)1552
2251 y(\034)1590 2234 y Fk(1)1622 2251 y Fl(f)1683 2228
y Fs(+)1773 2124 y Fl(l)p Fg(\000)p Fn(2)1766 2149 y
Fh(X)1769 2326 y Fl(j)s Fn(=1)1900 2228 y Fp(k)s(\025)1994
2194 y Fl(C)1994 2252 y(\034)2032 2235 y Fj(j)2063 2252
y Fl(\034)2101 2235 y Fk(1)2133 2252 y Fl(f)2176 2136
y Fh(\021)2225 2228 y Fp(R)2289 2193 y Fg(\012)p Fl(l)p
Fg(\000)p Fn(1)2288 2253 y Fl(C)2451 2228 y Fs(\()p Fp(\034)2528
2194 y Fn(1)2566 2228 y Fp(f)k Fs(\))19 b Fi(\001)f Fp(R)2771
2240 y Fl(C)2827 2228 y Fs(\()p Fp(y)s Fs(\))688 2581
y(=)802 2502 y Fh(X)776 2689 y Fl(\025)815 2669 y Fj(C)815
2709 y(f)864 2689 y Fg(6)p Fn(=0)962 2581 y Fs(exp)1088
2489 y Fh(\020)1138 2581 y Fp(k)s(\025)1232 2547 y Fl(C)1232
2601 y(f)1307 2581 y Fs(+)1396 2477 y Fl(l)p Fg(\000)p
Fn(1)1390 2502 y Fh(X)1392 2679 y Fl(j)s Fn(=1)1523 2581
y Fp(k)s(\025)1617 2547 y Fl(C)1617 2604 y(\034)1655
2588 y Fj(j)1686 2604 y Fl(f)1729 2489 y Fh(\021)1779
2581 y Fp(R)1843 2545 y Fg(\012)p Fl(l)1842 2605 y(C)1920
2581 y Fs(\()p Fp(f)9 b Fs(\)+)956 2844 y Fh(X)845 3026
y Fl(\034)883 3010 y Fk(1)915 3026 y Fl(f)e Fg(2F)1047
3035 y Fj(k)1082 3026 y Fn(\()p Fl(G)p Fn(\))1200 2923
y Fs(exp)1327 2831 y Fh(\020)1376 2923 y Fp(k)s(\025)1470
2889 y Fl(C)1470 2946 y(\034)1508 2929 y Fk(1)1540 2946
y Fl(f)1602 2923 y Fs(+)1692 2820 y Fl(l)p Fg(\000)p
Fn(2)1685 2844 y Fh(X)1687 3021 y Fl(j)s Fn(=1)1818 2923
y Fp(k)s(\025)1912 2889 y Fl(C)1912 2947 y(\034)1950
2930 y Fj(j)1981 2947 y Fl(\034)2019 2930 y Fk(1)2051
2947 y Fl(f)2094 2831 y Fh(\021)2143 2923 y Fp(R)2207
2888 y Fg(\012)p Fl(l)p Fg(\000)p Fn(1)2206 2948 y Fl(C)2370
2923 y Fs(\()p Fp(\034)2447 2889 y Fn(1)2485 2923 y Fp(f)i
Fs(\))2567 2781 y Fh( )2632 2923 y Fs(1)18 b Fi(\000)2915
2844 y Fh(X)2775 3026 y Fl(\034)2813 3010 y Fk(1)2845
3026 y Fl(f)7 b Fg(\005)p Fl(y)r Fg(2F)3047 3035 y Fj(l)3070
3026 y Fn(\()p Fl(C)t Fn(\))3188 2923 y Fp(R)3251 2935
y Fl(C)3306 2923 y Fs(\()p Fp(y)s Fs(\))3414 2781 y Fh(!)688
3190 y Fs(=)852 3112 y Fh(X)776 3293 y Fl(f)g Fg(2F)908
3302 y Fj(k)943 3293 y Fn(\()p Fl(C)t Fn(\))1047 3098
y Fh(\020)1097 3190 y Fp(e)1136 3156 y Fl(k)q(\025)1211
3165 y Fj(f)1271 3190 y Fi(\000)18 b Fs(1)1396 3098 y
Fh(\021)1459 3190 y Fs(exp)1586 3098 y Fh(\020)1636 3190
y Fp(k)s(\025)1730 3156 y Fl(C)1730 3213 y(\034)1768
3196 y Fk(1)1800 3213 y Fl(f)1861 3190 y Fs(+)g Fi(\001)c(\001)g(\001)
19 b Fs(+)f Fp(k)s(\025)2237 3156 y Fl(C)2237 3215 y(\034)2275
3198 y Fj(l)p Fc(\000)p Fk(1)2372 3215 y Fl(f)2415 3098
y Fh(\021)2464 3190 y Fp(R)2528 3155 y Fg(\012)p Fl(l)2527
3215 y(C)2605 3190 y Fs(\()p Fp(f)9 b Fs(\))19 b(+)f(\010)2881
3202 y Fl(C;k)q(;l)p Fg(\000)p Fn(1)3116 3190 y Fp(:)456
3456 y Fs(Summarizing)29 b(the)i(calculations)e(so)g(far,)i(at)f(the)g
Fp(k)s Fs(-th)g(stage,)g(w)n(e)g(can)g(solv)n(e)f(the)i(follo)n(wing)
456 3605 y(optimization)c(problem,)g(whic)n(h)h(is)f(asymptotically)g
(equiv)-5 b(alen)n(t)27 b(to)g(\(12\),)456 3854 y(\(16\))41
b Fi(\000)720 3813 y Fn(\()p Fl(\037)p Fg(\000)p Fl(k)q
Fn(+1\))p 719 3835 267 4 v 834 3882 a Fl(k)1009 3854
y Fs(log)1116 3712 y Fh(")1240 3775 y(X)1165 3957 y Fl(f)7
b Fg(2F)1297 3966 y Fj(k)1332 3957 y Fn(\()p Fl(C)t Fn(\))1436
3761 y Fh(\020)1485 3854 y Fp(e)1524 3819 y Fl(k)q(\025)1599
3794 y Fj(C)1599 3836 y(f)1653 3854 y Fi(\000)q Fs(1)1761
3761 y Fh(\021)1810 3854 y Fp(e)1849 3767 y Fb(P)1918
3829 y Fj(j)1961 3810 y Fl(k)q(\025)2036 3785 y Fj(C)2036
3837 y(\034)2069 3824 y(j)2101 3837 y(f)2142 3854 y Fp(R)2206
3818 y Fg(\012)p Fl(k)2205 3878 y(C)2299 3854 y Fs(\()p
Fp(f)i Fs(\))q(+)q(\010)2540 3866 y Fl(C;k)q(;k)q Fg(\000)p
Fn(1)2789 3712 y Fh(#)2838 3854 y Fs(+)2979 3775 y Fh(X)2904
3957 y Fl(f)e Fg(2F)3036 3966 y Fj(k)3071 3957 y Fn(\()p
Fl(C)t Fn(\))3189 3854 y Fp(\025)3237 3819 y Fl(C)3237
3874 y(f)3293 3854 y Fp(a)3337 3866 y Fl(f)3380 3854
y Fp(:)456 4124 y Fs(the)24 b(sums)g(are)f(only)g(o)n(v)n(er)f
(features)i Fp(f)31 b Fi(2)24 b(F)8 b Fs(\()p Fp(C)e
Fs(\),)25 b(and)f(the)g(n)n(um)n(b)r(er)g(\010)2648 4136
y Fl(C;k)q(;k)q Fg(\000)p Fn(1)2922 4124 y Fs(is)g(indep)r(enden)n(t)
456 4273 y(of)30 b Fp(f)36 b Fi(2)28 b(F)773 4285 y Fl(k)814
4273 y Fs(\()p Fp(G)p Fs(\))p Fi(nF)1045 4285 y Fl(k)q
Fg(\000)p Fn(1)1170 4273 y Fs(\()p Fp(G)p Fs(\),)k(hence)f(can)f(b)r(e)
g(treated)g(essen)n(tially)g(as)f(a)h(constan)n(t.)45
b(F)-7 b(ollo)n(wing)456 4423 y(\(9\),)42 b(w)n(e)e(th)n(us)f(solv)n(e)
g(\(16\))g(b)n(y)g(calculating)g(\010)1978 4435 y Fl(C;k)q(;k)q
Fg(\000)p Fn(1)2267 4423 y Fs(and)h(making)f(up)r(dates)g
Fp(\025)3117 4435 y Fl(f)3204 4423 y Fi(!)k Fp(\025)3378
4393 y Fg(0)3378 4446 y Fl(f)3421 4423 y Fs(,)456 4572
y Fp(z)495 4584 y Fl(C)573 4572 y Fi(!)23 b Fp(z)722
4542 y Fg(0)718 4595 y Fl(C)801 4572 y Fs(of)28 b(the)g(form)991
4830 y Fp(\025)1039 4795 y Fg(0)1039 4850 y Fl(f)1106
4830 y Fs(=)1206 4773 y(1)p 1203 4810 46 4 v 1203 4887
a Fp(k)1273 4830 y Fs(log)1380 4737 y Fh(h)1420 4830
y Fp(z)1459 4842 y Fl(C)1652 4773 y Fp(a)1696 4785 y
Fl(f)p 1524 4810 343 4 v 1524 4887 a Fp(\037)18 b Fi(\000)g
Fp(k)k Fs(+)c(1)1876 4737 y Fh(i)1934 4830 y Fi(\000)2017
4726 y Fl(k)q Fg(\000)p Fn(1)2018 4751 y Fh(X)2020 4928
y Fl(j)s Fn(=1)2152 4830 y Fp(\025)2200 4795 y Fl(C)2200
4853 y(\034)2238 4836 y Fj(j)2269 4853 y Fl(f)2331 4830
y Fi(\000)2426 4773 y Fs(1)p 2424 4810 46 4 v 2424 4887
a Fp(k)2493 4830 y Fs(log)c Fp(R)2678 4794 y Fg(\012)p
Fl(k)2677 4854 y(C)2771 4830 y Fs(\()p Fp(f)9 b Fs(\))p
Fp(;)988 5090 y(z)1031 5055 y Fg(0)1027 5110 y Fl(C)1106
5090 y Fs(=)23 b(\010)1254 5102 y Fl(C;k)q(;k)q Fg(\000)p
Fn(1)1522 5090 y Fs(+)1681 5011 y Fh(X)1605 5193 y Fl(f)7
b Fg(2F)1737 5202 y Fj(k)1773 5193 y Fn(\()p Fl(G)p Fn(\))1876
4997 y Fh(\020)1926 5090 y Fp(e)1965 5055 y Fl(k)q(\025)2040
5030 y Fj(C)2040 5072 y(f)2111 5090 y Fi(\000)18 b Fs(1)2236
4997 y Fh(\021)2285 5090 y Fp(e)2324 5003 y Fb(P)2394
5065 y Fj(j)2436 5046 y Fl(k)q(\025)2511 5021 y Fj(C)2511
5073 y(\034)2544 5060 y(j)2576 5073 y(f)2618 5090 y Fp(R)2682
5054 y Fg(\012)p Fl(k)2681 5114 y(C)2774 5090 y Fs(\()p
Fp(f)9 b Fs(\))p Fp(:)p eop end
%%Page: 15 15
TeXDict begin 15 14 bop 1428 251 a Fn(THE)30 b(DBA)n(CL)g(TEXT)f
(CLASSIFIER)906 b(15)1090 450 y Fs(7.)41 b Fr(Constraints)31
b(in)h(the)f(sequential)h(models)555 649 y Fs(W)-7 b(e)41
b(no)n(w)e(come)h(to)g(discussing)f(the)i(natural)e(form)h(of)g(the)g
(constrain)n(ts)f Fp(a)3046 661 y Fl(f)3089 649 y Fs(,)k(and)d(the)456
799 y(probabilistic)27 b(in)n(terpretation)h(of)h(sequen)n(tial)f(mo)r
(dels.)40 b(In)29 b(the)g(follo)n(wing,)f(w)n(e)g(shall)h(denote)456
948 y(the)f Fp(j)5 b Fs(-gram)26 b(complexit)n(y)h(of)g
Fp(s)h Fs(b)n(y)1569 1167 y Fp(\037)1621 1179 y Fl(j)1656
1167 y Fs(\()p Fp(s)p Fs(\))23 b(=)1946 1088 y Fh(X)1870
1270 y Fl(f)7 b Fg(2F)2002 1279 y Fj(k)2038 1270 y Fn(\()p
Fl(G)p Fn(\))2155 1167 y Fp(f)i Fs(\()p Fp(s)p Fs(\))p
Fp(:)456 1433 y Fs(Note)27 b(that)h(if)g Fp(s)23 b Fs(=)g
Fp(x)1109 1445 y Fn(1)1165 1433 y Fi(\005)18 b(\001)c(\001)g(\001)k
(\005)g Fp(x)1447 1445 y Fl(\037)1493 1433 y Fs(,)28
b(then)g Fp(\037)1785 1445 y Fl(j)1820 1433 y Fs(\()p
Fp(s)p Fs(\))c(=)e Fp(\037)d Fi(\000)f Fp(j)23 b Fs(+)18
b(1.)456 1655 y(7.1.)40 b Fx(Bigram)32 b(mo)s(del.)40
b Fs(W)-7 b(e)28 b(can)g(build)h(a)f(pure)g(w)n(ord)f(bigram)2518
1623 y Fn(2)2579 1655 y Fs(mo)r(del)h(b)n(y)g(taking)g(the)g(set)456
1805 y Fp(G)g Fs(of)f(regular)f(expressions)g(as)728
2024 y Fp(G)d Fs(=)f Fi(f)p Ff("[^[:alpha:]])p Fs(\()p
Ff([[:a)o(lp)o(ha:)o(]])o(+)p Fs(\))p Ff([^)o([:a)o(lp)o(ha)o(:]])o(+)p
Fs(\()p Ff([[)o(:a)o(lph)o(a:)o(]]+)o Fs(\))p Ff(")-6
b Fp(;)-2864 b Fs(\(17\))959 2210 y Ff("^)p Fs(\()p Ff([[:alpha:]]+)p
Fs(\))p Ff([^[)o(:al)o(ph)o(a:)o(]]+)o Fs(\()p Ff([[:)o(al)o(pha)o(:])o
(]+)p Fs(\))p Ff(")-7 b Fi(g)p Fp(:)456 2429 y Fs(Ev)n(ery)24
b(time)i(a)f(matc)n(h)h(\()p Fp(s)1268 2441 y Fn(1)1305
2429 y Fp(;)14 b(s)1381 2441 y Fn(2)1418 2429 y Fs(\))26
b(is)g(found)g(in)g(the)g(corpus)f Fp(C)6 b Fs(,)26 b(it)h(is)e(con)n
(v)n(erted)f(in)n(to)i(the)g(tok)n(en)456 2579 y Fp(t)k
Fs(=)g Fp(s)650 2591 y Fn(1)708 2579 y Fi(\005)21 b Fp(s)810
2591 y Fn(2)847 2579 y Fs(.)50 b(Let)32 b(us)g(call)f(an)n(y)g(alphab)r
(etic)h(w)n(ord)f(suc)n(h)g(as)h Fp(s)2456 2591 y Fn(1)2525
2579 y Fs(or)f Fp(s)2670 2591 y Fn(2)2739 2579 y Fs(a)g
Fq(state)p Fs(.)50 b(Then)32 b(from)456 2728 y(\(11\))o(,)c(w)n(e)f(ha)
n(v)n(e)g(for)g(an)n(y)f(string)h Fp(s)h Fs(with)g(complexit)n(y)f
Fp(\037)2217 2740 y Fn(2)2254 2728 y Fs(\()p Fp(s)p Fs(\),)456
2984 y(\(18\))82 b Fm(P)737 2996 y Fl(C)793 2984 y Fs(\()p
Fp(s)p Fs(\))23 b(=)1007 2906 y Fh(Y)1013 3080 y Fl(x;y)1143
2963 y Fh(e)1127 2984 y Fp(R)1190 2996 y Fl(C)1246 2984
y Fs(\()p Fp(x)c Fi(\005)f Fp(y)s Fs(\))1480 2950 y Fl(f)1512
2958 y Fj(x)p Fc(\005)p Fj(y)1612 2950 y Fn(\()p Fl(s)p
Fn(\))1699 2984 y Fp(;)1301 3345 y Fs(where)1556 3324
y Fh(e)1541 3345 y Fp(R)1604 3357 y Fl(C)1660 3345 y
Fs(\()p Fp(x)h Fi(\005)f Fp(y)s Fs(\))23 b Fi(/)2004
3150 y Fh(8)2004 3225 y(>)2004 3250 y(<)2004 3399 y(>)2004
3424 y(:)2078 3271 y Fp(e)2117 3241 y Fl(\025)2156 3249
y Fj(x)p Fc(\005)p Fj(y)2260 3271 y Fp(R)2323 3283 y
Fl(C)2379 3271 y Fs(\()p Fp(x)p Fs(\))p Fp(R)2553 3283
y Fl(C)2610 3271 y Fs(\()p Fp(y)s Fs(\))83 b(if)28 b
Fp(f)2918 3283 y Fl(x)p Fg(\005)p Fl(y)3052 3271 y Fi(2)c(F)8
b Fs(\()p Fp(C)e Fs(\),)2078 3450 y Fp(R)2141 3462 y
Fl(C)2197 3450 y Fs(\()p Fp(x)p Fs(\))p Fp(R)2371 3462
y Fl(C)2428 3450 y Fs(\()p Fp(y)s Fs(\))265 b(otherwise,)456
3639 y(and)36 b(where)g(the)h(pro)r(duct)f(extends)h(o)n(v)n(er)e(all)h
(p)r(ossible)g(pairs)g(of)g(states,)i(and)f Fp(f)3089
3651 y Fl(x)p Fg(\005)p Fl(y)3237 3639 y Fs(is)f(the)456
3789 y(feature)26 b(asso)r(ciated)f(with)i(the)g(tok)n(en)f
Fp(x)17 b Fi(\005)f Fp(y)s Fs(,)27 b(whic)n(h)f(coun)n(ts)h(the)g(n)n
(um)n(b)r(er)f(of)g(o)r(ccurrences)g(of)456 3938 y Fp(x)19
b Fi(\005)e Fp(y)s Fs(.)555 4088 y(No)n(w)27 b(de\014ne)456
4306 y(\(19\))436 b Fp(\027)5 b Fs(\()p Fp(x)p Fs(\))25
b(=)1309 4228 y Fh(X)1351 4402 y Fl(y)1459 4285 y Fh(e)1443
4306 y Fp(R)1506 4318 y Fl(C)1562 4306 y Fs(\()p Fp(x)19
b Fi(\005)f Fp(y)s Fs(\))p Fp(;)97 b(P)12 b Fs(\()p Fp(x;)i(y)s
Fs(\))23 b(=)2300 4285 y Fh(e)2284 4306 y Fp(R)2347 4318
y Fl(C)2403 4306 y Fs(\()p Fp(x)c Fi(\005)f Fp(y)s Fs(\))p
Fp(=\027)5 b Fs(\()p Fp(x)p Fs(\))p Fp(;)456 4580 y Fs(whic)n(h)29
b(giv)n(es)901 4518 y Fh(P)988 4605 y Fl(y)1042 4580
y Fp(P)12 b Fs(\()p Fp(x;)i(y)s Fs(\))27 b(=)f(1)k(for)f(all)g
Fp(x)p Fs(,)i(and)f(note)f(that)2369 4518 y Fh(P)2456
4605 y Fl(x)2512 4580 y Fp(\027)5 b Fs(\()p Fp(x)p Fs(\))28
b(=)e(1)j(b)r(ecause)3184 4559 y Fh(e)3169 4580 y Fp(R)3232
4592 y Fl(C)3317 4580 y Fs(is)h(a)456 4730 y(probabilit)n(y)d(measure)g
(o)n(v)n(er)g(all)h(p)r(ossible)g(tok)n(ens,)g(Inserting)h(\(19\))f(in)
n(to)g(\(18\),)h(and)f(noticing)456 4879 y(that)23 b(the)h(second)f
(pro)r(duct)g(b)r(elo)n(w)h(has)f(only)g Fp(\037)1947
4891 y Fn(2)1984 4879 y Fs(\()p Fp(C)6 b Fs(\))24 b(terms)f(\(all)h
(other)f(exp)r(onen)n(ts)g(are)f(zero\),)p 456 4988 499
4 v 555 5061 a Fn(2)588 5087 y Fw(W)-6 b(e)21 b(reserv)n(e)g(the)g
(term)f(digram)f(for)h(a)g(c)n(haracter)i(pair.)29 b(A)20
b(bigram)g(can)h(b)r(e)f(consecutiv)n(e)i(w)n(ords,)f(or)e(more)456
5211 y(generally)24 b(an)n(y)g(t)n(w)n(o)g(strings)f(tagged)j(b)n(y)e
(a)g(regular)f(expression.)p eop end
%%Page: 16 16
TeXDict begin 16 15 bop 456 251 a Fn(16)1212 b(L.A.)22
b(BREYER)456 450 y Fs(whic)n(h)30 b(w)n(e)g(can)h(en)n(umerate)f(as)g
(successiv)n(e)f(pairs)g(in)i(the)g(sequence)f Fp(x)2722
462 y Fn(0)2760 450 y Fp(;)14 b(x)2844 462 y Fn(1)2882
450 y Fp(;)g(:)g(:)g(:)f(;)h(x)3113 465 y Fl(\037)3154
473 y Fk(1)3188 465 y Fn(\()p Fl(C)t Fn(\))3295 450 y
Fs(,)32 b(w)n(e)456 600 y(obtain)1172 879 y Fm(P)1223
891 y Fl(C)1279 879 y Fs(\()p Fp(s)p Fs(\))23 b(=)1493
737 y Fh( )1559 800 y(Y)1565 974 y Fl(x;y)1679 879 y
Fp(\027)5 b Fs(\()p Fp(x)p Fs(\))1836 844 y Fl(f)1868
852 y Fj(x)p Fc(\005)p Fj(y)1969 844 y Fn(\()p Fl(s)p
Fn(\))2056 762 y Fh(\023)2131 800 y(Y)2138 974 y Fl(x;y)2251
879 y Fp(P)12 b Fs(\()p Fp(x;)i(y)s Fs(\))2508 844 y
Fl(f)2540 852 y Fj(x)p Fc(\005)p Fj(y)2640 844 y Fn(\()p
Fl(s)p Fn(\))1405 1202 y Fs(=)23 b Fp(\031)s Fs(\()p
Fp(s)p Fs(\))1660 1091 y Fl(\037)1701 1099 y Fk(2)1735
1091 y Fn(\()p Fl(C)t Fn(\))1696 1123 y Fh(Y)1695 1299
y Fl(t)p Fn(=0)1852 1202 y Fp(P)1917 1135 y Fh(\000)1955
1202 y Fp(x)2002 1214 y Fl(t)2032 1202 y Fp(;)14 b(x)2116
1214 y Fl(t)p Fn(+1)2229 1135 y Fh(\001)2267 1202 y Fp(:)456
1499 y Fs(When)20 b(sev)n(eral)d(sequences)i(are)f(p)r(ossible,)j(w)n
(e)e(c)n(ho)r(ose)f(the)i(minimal)f(one)g(under)g(lexicographic)456
1649 y(ordering.)35 b(F)-7 b(rom)27 b(the)h(measure)f
Fp(\031)s Fs(\()p Fp(s)p Fs(\),)h(w)n(e)f(de\014ne)1184
1924 y Fp(\031)s Fs(\()p Fp(x)1313 1936 y Fn(0)1352 1924
y Fs(\))c(=)g Fp(\031)1545 1856 y Fh(\000)1583 1924 y
Fi(f)p Fp(s)g Fs(:)g Fp(s)g Fs(=)f Fp(x)1929 1936 y Fn(0)1985
1924 y Fi(\005)c Fp(x)2092 1936 y Fn(1)2149 1924 y Fi(\005)g(\001)c
(\001)g(\001)k(\005)g Fp(x)2431 1939 y Fl(\037)2472 1947
y Fk(1)2505 1939 y Fn(\()p Fl(C)t Fn(\))2613 1924 y Fi(g)2655
1856 y Fh(\001)2692 1924 y Fp(;)456 2199 y Fs(and)24
b(using)g(the)h(facts)f(that)1337 2136 y Fh(P)1425 2224
y Fl(s)1474 2199 y Fm(P)1525 2211 y Fl(C)1581 2199 y
Fs(\()p Fp(s)p Fs(\))g(=)e(1)i(and)2019 2136 y Fh(P)2107
2224 y Fl(y)2161 2199 y Fp(P)12 b Fs(\()p Fp(x;)i(y)s
Fs(\))23 b(=)g(1)h(together,)g(it)h(follo)n(ws)e(that)456
2286 y Fh(P)543 2373 y Fl(x)599 2348 y Fp(\031)s Fs(\()p
Fp(x)p Fs(\))h(=)f(1.)36 b(Th)n(us)25 b Fp(\031)k Fs(can)d(no)n(w)f(b)r
(e)h(seen)g(as)f(the)h(initial)g(distribution)g(of)g(a)f(\014nite)i
(Mark)n(o)n(v)456 2498 y(c)n(hain)g Fp(X)744 2510 y Fn(0)781
2498 y Fp(;)14 b(:)g(:)g(:)f(;)h(X)1034 2513 y Fl(\037)1075
2521 y Fk(1)1108 2513 y Fn(\()p Fl(C)t Fn(\))1243 2498
y Fs(with)28 b(la)n(w)f Fm(P)1633 2510 y Fl(C)1689 2498
y Fs(,)456 2824 y(\(20\))209 b Fm(P)864 2732 y Fh(h)903
2824 y Fp(X)972 2836 y Fn(0)1032 2824 y Fs(=)23 b Fp(x)1167
2836 y Fn(0)1205 2824 y Fp(;)14 b(X)1311 2836 y Fn(1)1371
2824 y Fs(=)22 b Fp(x)1505 2836 y Fn(1)1543 2824 y Fp(;)14
b(:)g(:)g(:)g(;)g(X)1797 2839 y Fl(\037)p Fn(\()p Fl(C)t
Fn(\))1969 2824 y Fs(=)22 b Fp(x)2103 2839 y Fl(\037)p
Fn(\()p Fl(C)t Fn(\))2253 2732 y Fh(i)2315 2824 y Fs(=)h
Fp(\031)s Fs(\()p Fp(x)2532 2836 y Fn(0)2570 2824 y Fs(\))2616
2713 y Fl(\037)2657 2721 y Fk(2)2690 2713 y Fn(\()p Fl(C)t
Fn(\))2652 2745 y Fh(Y)2650 2921 y Fl(t)p Fn(=0)2807
2824 y Fp(P)12 b Fs(\()p Fp(x)2951 2836 y Fl(t)2981 2824
y Fp(;)i(x)3065 2836 y Fl(t)p Fn(+1)3179 2824 y Fs(\))p
Fp(:)456 3125 y Fs(If)31 b(w)n(e)f(compare)g(\(20\))g(with)i(\(18\))o
(,)g(w)n(e)f(see)f(that)h Fp(f)2063 3137 y Fl(x)p Fg(\005)p
Fl(y)2174 3125 y Fs(\()p Fp(C)6 b Fs(\))32 b(m)n(ust)f(b)r(e)g(the)h
(empirical)e(n)n(um)n(b)r(er)456 3275 y(of)f(transitions)f
Fi(f)p Fp(X)1076 3287 y Fl(t)1131 3275 y Fs(=)e Fp(x;)14
b(X)1375 3287 y Fl(t)p Fn(+1)1514 3275 y Fs(=)26 b Fp(y)s
Fi(g)i Fs(in)i(the)g(corpus)e Fp(C)6 b Fs(,)30 b(and)g(if)g(w)n(e)f
(pro)r(ceed)f(as)h(b)r(efore)g(in)456 3424 y(the)f(default)g(mo)r(del,)
f(w)n(e)h(should)f(tak)n(e)g Fp(a)1757 3436 y Fl(f)1823
3424 y Fs(=)c Fp(f)9 b Fs(\()p Fp(C)d Fs(\).)456 3721
y(7.2.)40 b Fx(Pure)f Fp(n)p Fx(-gram)g(mo)s(dels.)g
Fs(More)33 b(generally)-7 b(,)33 b(it)i(also)d(mak)n(es)h(sense)g(to)g
(tag)g Fp(n)p Fs(-grams)456 3871 y(via)27 b(a)g(suitable)g(set)g(of)h
(expressions)e Fp(G)p Fs(.)37 b(Since)27 b(regular)f(expressions)g
(cannot)h(straddle)g(new-)456 4020 y(line)32 b(c)n(haracters,)e(there)i
(are)f(diminishing)h(returns)f(with)h(this)g(idea)g(in)g(the)g(curren)n
(t)f Fx(dbacl)456 4169 y Fs(implemen)n(tation.)k(Ho)n(w)n(ev)n(er,)23
b(since)g(regular)f(expression)g(matc)n(hing)h(is)g(often)h(p)r
(olynomial)f(in)456 4319 y(the)29 b(size)g(of)g(the)g(string,)g(this)h
(limitation)f(ensures)f(acceptable)h(training)f(and)h(classi\014cation)
456 4468 y(sp)r(eed.)555 4618 y(When)35 b(matc)n(hing)e
Fp(n)p Fs(-grams,)g(w)n(e)h(pro)r(ceed)f(as)g(in)h(the)g(bigram)f
(example,)i(and)e(obtain)h(a)456 4767 y(c)n(haracterization)20
b(of)j Fm(P)1199 4779 y Fl(C)1278 4767 y Fs(as)f(a)g(random)h(\014eld.)
35 b(T)-7 b(ok)n(ens)22 b(ha)n(v)n(e)g(the)h(form)g Fp(t)g
Fs(=)g Fp(x)2930 4779 y Fn(1)2976 4767 y Fi(\005)9 b
Fp(x)3074 4779 y Fn(2)3121 4767 y Fi(\005)g(\001)14 b(\001)g(\001)9
b(\005)g Fp(x)3376 4779 y Fl(n)3421 4767 y Fs(,)456 4917
y(and)39 b(a)h(string)f Fp(s)h Fs(with)g(complexit)n(y)g
Fp(\037)1726 4929 y Fn(1)1763 4917 y Fs(\()p Fp(s)p Fs(\))g(is)g(in)n
(terpreted)f(as)h(a)f Fq(c)l(on\014gur)l(ation)h Fs(of)g
Fp(\037)3304 4929 y Fn(1)3341 4917 y Fs(\()p Fp(s)p Fs(\))456
5066 y(distinct)29 b(sites.)41 b(Then)29 b(from)g(\(7\),)h(the)f
(measure)f Fm(P)2074 5078 y Fl(C)2159 5066 y Fs(is)h(a)f(Gibbs)h
(random)f(\014eld)i(where)e(eac)n(h)456 5216 y(site)f(in)n(teracts)g
(with)h(at)g(most)f Fp(n)18 b Fi(\000)g Fs(1)27 b(others.)p
eop end
%%Page: 17 17
TeXDict begin 17 16 bop 1428 251 a Fn(THE)30 b(DBA)n(CL)g(TEXT)f
(CLASSIFIER)906 b(17)555 450 y Fs(F)-7 b(or)27 b(a)g(non-symmetric)g
(form)g(similar)g(to)h(\(19\))o(,)g(w)n(e)f(can)g(also)g(de\014ne)676
753 y Fh(e)660 774 y Fp(R)723 786 y Fl(C)779 774 y Fs(\()p
Fp(x)858 786 y Fn(1)915 774 y Fi(\005)18 b(\001)c(\001)g(\001)k(\005)g
Fp(x)1197 786 y Fl(n)1243 774 y Fs(\))23 b Fi(/)1386
579 y Fh(8)1386 654 y(>)1386 679 y(<)1386 828 y(>)1386
853 y(:)1459 699 y Fs(exp)1586 632 y Fh(\000)1624 699
y Fp(\025)1672 711 y Fl(x)1710 719 y Fk(1)1743 711 y
Fg(\005\001\001\001)o(\005)p Fl(x)1908 719 y Fj(n)1952
632 y Fh(\001)2004 637 y(Q)2083 658 y Fl(n)2083 724 y(k)q
Fn(=1)2221 699 y Fp(R)2284 711 y Fl(C)2340 699 y Fs(\()p
Fp(x)2419 711 y Fl(k)2461 699 y Fs(\))83 b(if)28 b Fp(f)2693
711 y Fl(x)2731 719 y Fk(1)2763 711 y Fg(\005\001\001\001)o(\005)p
Fl(x)2928 719 y Fj(n)2996 699 y Fi(2)23 b(F)8 b Fs(\()p
Fp(C)e Fs(\))1459 817 y Fh(Q)1538 837 y Fl(n)1538 904
y(k)q Fn(=1)1677 879 y Fp(R)1740 891 y Fl(C)1795 879
y Fs(\()p Fp(x)1874 891 y Fl(k)1916 879 y Fs(\))628 b(otherwise,)717
1070 y Fp(\027)5 b Fs(\()p Fp(x)842 1082 y Fn(1)880 1070
y Fp(;)14 b(:)g(:)g(:)g(;)g(x)1112 1082 y Fl(n)p Fg(\000)p
Fn(1)1243 1070 y Fs(\))23 b(=)1386 992 y Fh(X)1428 1166
y Fl(y)1535 1049 y Fh(e)1519 1070 y Fp(R)1582 1082 y
Fl(C)1638 1070 y Fs(\()p Fp(x)1717 1082 y Fn(1)1774 1070
y Fi(\005)18 b(\001)c(\001)g(\001)k(\005)g Fp(x)2056
1082 y Fl(n)p Fg(\000)p Fn(1)2205 1070 y Fi(\005)g Fp(y)s
Fs(\))p Fp(;)618 1323 y(P)12 b Fs(\()p Fp(x)762 1335
y Fn(1)800 1323 y Fp(;)i(:)g(:)g(:)f(;)h(x)1031 1335
y Fl(n)p Fg(\000)p Fn(1)1162 1323 y Fs(;)g Fp(y)s Fs(\))23
b(=)1401 1302 y Fh(e)1386 1323 y Fp(R)1449 1335 y Fl(C)1504
1323 y Fs(\()p Fp(x)1583 1335 y Fn(1)1640 1323 y Fi(\005)18
b(\001)c(\001)g(\001)k(\005)g Fp(x)1922 1335 y Fl(n)p
Fg(\000)p Fn(1)2071 1323 y Fi(\005)g Fp(y)s Fs(\))p Fp(=\027)5
b Fs(\()p Fp(x)2374 1335 y Fn(1)2412 1323 y Fp(;)14 b(:)g(:)g(:)f(;)h
(x)2643 1335 y Fl(n)p Fg(\000)p Fn(1)2774 1323 y Fs(\))p
Fp(;)456 1568 y Fs(and)27 b(then)h(w)n(e)f(obtain)h(the)g(higher)f
(order)f(Mark)n(o)n(vian)f(form)960 1850 y Fm(P)1011
1862 y Fl(C)1066 1850 y Fs(\()p Fp(s)p Fs(\))f(=)f Fp(\031)s
Fs(\()p Fp(x)1410 1862 y Fn(0)1448 1850 y Fp(;)14 b(:)g(:)g(:)f(;)h(x)
1679 1862 y Fl(n)p Fg(\000)p Fn(2)1810 1850 y Fs(\))1856
1739 y Fl(\037)1897 1747 y Fj(n)1938 1739 y Fn(\()p Fl(C)t
Fn(\))1896 1771 y Fh(Y)1894 1947 y Fl(t)p Fn(=0)2056
1850 y Fp(P)2121 1782 y Fh(\000)2159 1850 y Fp(x)2206
1862 y Fl(t)2235 1850 y Fp(;)g(:)g(:)g(:)g(;)g(x)2467
1862 y Fl(t)p Fn(+)p Fl(n)p Fg(\000)p Fn(2)2673 1850
y Fs(;)g Fp(x)2757 1862 y Fl(t)p Fn(+)p Fl(n)2879 1782
y Fh(\001)2917 1850 y Fp(:)456 2120 y Fs(The)24 b(measure)g
Fp(\031)k Fs(is)c(a)g(probabilit)n(y)-7 b(,)24 b(as)g(is)h(apparen)n(t)
e(from)h(using)g(the)h(relations)3010 2058 y Fh(P)3097
2145 y Fl(s)3147 2120 y Fm(P)3198 2132 y Fl(C)3253 2120
y Fs(\()p Fp(s)p Fs(\))f(=)456 2270 y(1,)31 b(and)717
2207 y Fh(P)805 2295 y Fl(y)859 2270 y Fp(P)12 b Fs(\()p
Fp(x)1003 2282 y Fn(1)1041 2270 y Fp(;)i(:)g(:)g(:)f(;)h(x)1272
2282 y Fl(n)p Fg(\000)p Fn(1)1403 2270 y Fs(;)g Fp(y)s
Fs(\))29 b(=)f(1.)48 b(Comparing)29 b(with)j(\(11\),)g(w)n(e)f(\014nd)g
(once)g(again)f(that)456 2419 y(w)n(e)d(should)g(tak)n(e)g
Fp(a)1065 2431 y Fl(f)1131 2419 y Fs(=)c Fp(f)9 b Fs(\()p
Fp(C)d Fs(\).)456 2675 y(7.3.)40 b Fx(General)34 b(sequen)m(tial)f(mo)s
(dels.)39 b Fs(F)-7 b(or)29 b(a)g(general)e(sequen)n(tial)i(set)g
Fp(G)p Fs(,)h(the)g(in)n(terp)r(eta-)456 2825 y(tion)35
b(is)h(essen)n(tially)f(the)h(same.)61 b(Supp)r(ose)35
b(that)h Fp(G)h Fs(matc)n(hes)e Fp(k)s Fs(-grams)f(for)h
Fp(k)k Fs(=)d(1)p Fp(;)14 b(:)g(:)g(:)g(;)g(n)p Fs(.)456
2974 y(F)-7 b(rom)30 b(\(11\))o(,)i(it)f(is)f(apparen)n(t)f(that)i(the)
g(Maxim)n(um)f(En)n(trop)n(y)f(mo)r(del)i(asso)r(ciated)e(with)i
Fp(G)g Fs(is)456 3123 y(an)j Fp(n)p Fs(-gram)g(mo)r(del)h(based)f(not)h
(on)g Fm(R)1706 3135 y Fl(C)1762 3123 y Fs(,)i(but)e(rather)f
Fm(P)2289 3135 y Fl(C;n)p Fg(\000)p Fn(1)2487 3123 y
Fs(.)59 b(The)35 b(latter)g(measure)f(is)h(a)456 3273
y(smo)r(othed)c(v)n(ersion)e(of)i Fm(R)1279 3285 y Fl(C)1335
3273 y Fs(,)h(since)f(when)h(an)f(unkno)n(wn)f(feature)h
Fp(f)38 b Fi(2)29 b(F)2801 3285 y Fl(n)2846 3273 y Fs(\()p
Fp(G)p Fs(\))p Fi(nF)8 b Fs(\()p Fp(C)e Fs(\))33 b(is)e(en-)456
3422 y(coun)n(tered,)i(in)h(the)g(former)e(case)g(the)i(asso)r(ciated)e
(tok)n(en)g Fp(x)2398 3434 y Fn(1)2458 3422 y Fi(\005)22
b(\001)14 b(\001)g(\001)22 b(\005)g Fp(x)2752 3434 y
Fl(n)2831 3422 y Fs(is)33 b(predicted)g(only)456 3572
y(from)e(the)h(digramic)f(reference)g(measure)g Fm(R)1890
3584 y Fl(C)1945 3572 y Fs(,)i(while)f(in)g(the)h(latter)e(case,)h(an)n
(y)f(recognized)456 3721 y(subset)c Fp(x)757 3733 y Fn(1)813
3721 y Fi(\005)18 b(\001)c(\001)g(\001)19 b(\005)f Fp(x)1096
3733 y Fl(k)1165 3721 y Fs(for)27 b Fp(k)f(<)c(n)28 b
Fs(is)f(tak)n(en)g(in)n(to)g(accoun)n(t)g(as)g(w)n(ell.)555
3871 y(Since)k(the)g(nature)g(of)g(the)g(mo)r(del)g(is)g(nev)n
(ertheless)e(an)i Fp(n)p Fs(-gram)e(mo)r(del,)j(it)f(mak)n(es)f(sense)
456 4020 y(to)36 b(tak)n(e)f Fp(a)798 4032 y Fl(f)879
4020 y Fs(=)i Fp(f)9 b Fs(\()p Fp(C)d Fs(\))37 b(for)f
Fp(f)46 b Fi(2)38 b(F)1573 4032 y Fl(n)1618 4020 y Fs(\()p
Fp(G)p Fs(\))25 b Fi(\\)f(F)8 b Fs(\()p Fp(C)e Fs(\).)64
b(No)n(w)36 b(the)h(recursiv)n(e)d(in)n(terpretation)i(of)456
4169 y Fm(P)507 4181 y Fl(C;n)p Fg(\000)p Fn(1)744 4169
y Fs(means)k(that)g(it)g(corresp)r(onds)e(to)i(a)g(maxim)n(um)f(en)n
(trop)n(y)g(\()p Fp(n)27 b Fi(\000)f Fs(1\)-gram)38 b(mo)r(del,)456
4319 y(whic)n(h)29 b(suggests)g(w)n(e)h(tak)n(e)f(also)g
Fp(a)1542 4331 y Fl(f)1611 4319 y Fs(=)e Fp(f)9 b Fs(\()p
Fp(C)d Fs(\))30 b(for)g Fp(f)35 b Fi(2)27 b(F)2260 4331
y Fl(n)p Fg(\000)p Fn(1)2390 4319 y Fs(\()p Fp(G)p Fs(\))21
b Fi(\\)f(F)8 b Fs(\()p Fp(C)e Fs(\),)32 b(and)e(so)f(on,)h(un)n(til)
456 4468 y(w)n(e)d(arriv)n(e)f(at)h(a)g(complete)h(sp)r(eci\014cation)f
(of)g(the)h(constrain)n(ts.)555 4618 y Fx(Remark.)45
b Fs(The)30 b(smo)r(othing)g(just)h(describ)r(ed)f(do)r(esn't)h(tak)n
(e)f(in)n(to)g(accoun)n(t)f(all)h(the)h(p)r(os-)456 4767
y(sible)i Fp(k)s Fs(-gram)e(subsets)i(of)g Fp(x)1382
4779 y Fn(1)1442 4767 y Fi(\005)21 b(\001)14 b(\001)g(\001)22
b(\005)g Fp(x)1735 4779 y Fl(k)1776 4767 y Fs(,)35 b(as)d(one)h(migh)n
(t)g(exp)r(ect.)54 b(When)34 b(the)f(complexit)n(y)456
4917 y Fp(\037)508 4929 y Fl(n)553 4917 y Fs(\()p Fp(s)p
Fs(\))i(is)h(suitably)f(large,)g(the)h(appro)n(ximation)d(\(13\))i(is)g
(certainly)f(go)r(o)r(d)h(enough,)i(and)e(of)456 5066
y(course)25 b(the)j(large)d(deviations)i(tak)n(e)f(e\013ect.)37
b(F)-7 b(or)27 b(small)f(v)-5 b(alues)27 b(of)g Fp(\037)2637
5078 y Fl(n)2682 5066 y Fs(\()p Fp(s)p Fs(\),)h(there)f(is)g(ro)r(om)f
(for)456 5216 y(impro)n(v)n(emen)n(t,)32 b(whic)n(h)g(can)g(b)r(e)g
(handled)g(b)n(y)g(more)g(general)e(smo)r(othing.)51
b(A)32 b(general)f(form)p eop end
%%Page: 18 18
TeXDict begin 18 17 bop 456 251 a Fn(18)1212 b(L.A.)22
b(BREYER)456 450 y Fs(can)27 b(b)r(e)h(obtained)f(with)h(a)f
(probabilit)n(y)g(measure)g Fp(\026)2119 462 y Fl(n)2164
450 y Fs(:)1196 679 y Fp(f)1237 691 y Fl(a)1273 699 y
Fk(1)1305 691 y Fg(\005\001\001\001)o(\005)p Fl(a)1468
700 y Fj(k)1509 679 y Fs(\()p Fp(s)p Fs(\))c Fi(\031)1953
600 y Fh(X)1723 782 y Fl(a)1759 790 y Fk(1)1791 782 y
Fg(\005\001\001\001)o(\005)p Fl(a)1954 791 y Fj(k)1991
782 y Fg(\022)p Fl(t)p Fg(2F)2161 790 y Fj(n)2201 782
y Fn(\()p Fl(G)p Fn(\))2318 679 y Fp(\026)2368 691 y
Fl(n)2413 679 y Fs(\()p Fp(t)p Fs(\))p Fp(f)2548 691
y Fl(t)2578 679 y Fs(\()p Fp(s)p Fs(\))p Fp(;)456 950
y Fs(where)i(the)i(sum)g(is)f(o)n(v)n(er)e(those)j Fp(n)p
Fs(-grams)d Fp(t)i Fs(whic)n(h)h(con)n(tain)e Fp(a)2435
962 y Fn(1)2488 950 y Fi(\005)16 b(\001)e(\001)g(\001)i(\005)f
Fp(a)2760 962 y Fl(k)2827 950 y Fs(as)26 b(a)g(subset.)37
b(This)456 1099 y(p)r(oten)n(tial)30 b(impro)n(v)n(emen)n(t)f(is)i(not)
f(implemen)n(ted)h(in)g Fx(dbacl)g Fs(due)g(to)f(the)h(added)f
(complexit)n(y)456 1249 y(of)d(calculation.)1094 1519
y(8.)41 b Fr(Text)32 b(classifica)-6 b(tion)32 b(and)f(mixed)g(models)
555 1718 y Fs(The)41 b(equations)e(for)h(text)g(classi\014cation)f(are)
g(obtained)h(b)n(y)g(inserting)h(\(10\))f(and)g(\(11\))456
1868 y(directly)27 b(in)n(to)g(\(1\).)456 2103 y(8.1.)40
b Fx(Simple)j(case.)e Fs(Ma)5 b(jor)37 b(simpli\014cations)h(o)r(ccur)g
(when)g(comparing)f(sev)n(eral)g(corp)r(ora)456 2252
y Fp(C)515 2264 y Fn(1)552 2252 y Fp(;)14 b(:)g(:)g(:)g(C)759
2264 y Fl(k)824 2252 y Fs(whose)23 b(mo)r(del)h(probabilities)f(are)g
(based)h(up)r(on)g(the)g(same)g(set)g(of)g(regular)e(expres-)456
2402 y(sions)k Fp(G)p Fs(.)36 b(If)28 b Fp(s)e Fs(is)h(a)f(string)g(to)
g(b)r(e)i(classi\014ed,)e(then)h(its)g(complexit)n(y)f
Fp(\037)p Fs(\()p Fp(s)p Fs(\))h(is)f(the)i(same)e(under)456
2551 y(eac)n(h)g(mo)r(del,)i(as)f(are)g(the)h(feature)f(coun)n(ts)g
Fi(f)p Fp(f)9 b Fs(\()p Fp(s)p Fs(\))23 b(:)g Fp(f)31
b Fi(2)24 b(F)8 b Fs(\()p Fp(G)p Fs(\))p Fi(g)p Fs(.)37
b(Consequen)n(tly)-7 b(,)27 b(w)n(e)g(ha)n(v)n(e)515
2812 y Fm(P)p Fs(\()p Fp(C)657 2824 y Fl(j)706 2812 y
Fi(j)14 b Fp(s)p Fs(\))23 b(=)g Fp(K)1002 2777 y Fg(\000)p
Fn(1)1104 2812 y Fs(exp)1231 2719 y Fh(\020)1281 2733
y(X)1328 2907 y Fl(t)1415 2812 y Fp(f)1456 2824 y Fl(t)1484
2812 y Fs(\()p Fp(s)p Fs(\))14 b(log)1738 2791 y Fh(e)1723
2812 y Fp(R)1786 2824 y Fl(C)1834 2832 y Fj(j)1869 2812
y Fs(\()p Fp(t)p Fs(\))1963 2719 y Fh(\021)2013 2812
y Fp(;)97 b(K)28 b Fs(=)2361 2708 y Fl(k)2320 2733 y
Fh(X)2322 2910 y Fl(j)s Fn(=1)2454 2812 y Fs(exp)2580
2719 y Fh(\020)2630 2733 y(X)2677 2907 y Fl(t)2764 2812
y Fp(f)2805 2824 y Fl(t)2834 2812 y Fs(\()p Fp(s)p Fs(\))14
b(log)3088 2791 y Fh(e)3072 2812 y Fp(R)3135 2824 y Fl(C)3183
2832 y Fj(j)3218 2812 y Fs(\()p Fp(t)p Fs(\))3312 2719
y Fh(\021)3362 2812 y Fp(:)456 3074 y Fs(These)31 b(equations)g(are)g
(used)h(b)n(y)g Fx(dbacl)g Fs(whenev)n(er)f(the)h(comp)r(eting)g
(categories)e(are)h(based)456 3224 y(on)24 b(the)h(same)f(set)h(of)f
(regular)f(expressions.)34 b(This)25 b(do)r(es)f(not)h(apply)g(if)g
(the)g(mo)r(dels)f(are)g(based)456 3373 y(on)36 b(functionally)g(equiv)
-5 b(alen)n(t)37 b(expressions)e(whose)g(string)h(represen)n(tations)f
(are)g(di\013eren)n(t.)456 3523 y(Ev)-5 b(aluation)29
b(of)i(the)g(sums)g(for)f(eac)n(h)h(category)d(can)j(b)r(e)g(done)g
(sim)n(ultaneously)f(as)g(the)h(data)456 3672 y(is)g(read,)g(obtaining)
g(an)f Fp(O)r Fs(\()p Fp(n)p Fs(\))j(classi\014cation)d(in)h(the)h(n)n
(um)n(b)r(er)f Fp(n)g Fs(of)g(lines.)47 b(As)32 b(eac)n(h)e(line)i(is)
456 3821 y(pro)r(cessed)21 b(with)i(one)e(or)h(more)f(regular)g
(expressions,)g(the)i(cost)f(in)n(v)n(olv)n(ed)f(is)h(also)f(p)r
(olynomial)456 3971 y(in)g(the)h(a)n(v)n(erage)c(length)k(of)f(eac)n(h)
g(line)g(of)h Fp(s)p Fs(.)35 b(Also,)22 b(the)g(memory)e(cost)h(for)g
(\(fast\))h(classi\014cation)456 4120 y(is)27 b(clearly)g
Fp(O)870 4053 y Fh(\000)908 4120 y Fp(\037)p Fs(\()p
Fp(C)1051 4132 y Fn(1)1089 4120 y Fs(\))19 b(+)f Fi(\001)c(\001)g(\001)
k Fs(+)g Fp(\037)p Fs(\()p Fp(C)1564 4132 y Fl(k)1606
4120 y Fs(\))1638 4053 y Fh(\001)1704 4120 y Fs(in)27
b(this)h(case.)555 4270 y(The)20 b(computations)f(are)g(more)g(in)n(v)n
(olv)n(ed)f(when)i(the)g(training)f(corp)r(ora)f Fp(C)2879
4282 y Fn(1)2916 4270 y Fp(;)c(:)g(:)g(:)g(C)3123 4282
y Fl(k)3184 4270 y Fs(dep)r(end)456 4419 y(on)29 b(di\013eren)n(t)h
(sets)g(of)f(regular)g(expressions)f Fp(G)1949 4431 y
Fn(1)1986 4419 y Fp(;)14 b(:)g(:)g(:)g(;)g(G)2236 4431
y Fl(k)2307 4419 y Fs(sa)n(y)-7 b(.)42 b(The)30 b(feature)g(coun)n(ts)f
Fi(f)p Fp(f)9 b Fs(\()p Fp(s)p Fs(\))26 b(:)456 4569
y Fp(f)47 b Fi(2)39 b Fp(G)703 4581 y Fl(k)744 4569 y
Fi(g)d Fs(m)n(ust)h(b)r(e)h(tak)n(en)e(in)n(to)h(accoun)n(t)f(for)g
(eac)n(h)g Fp(k)k Fs(separately)-7 b(,)38 b(and)f(the)g(complexit)n(y)
456 4718 y(of)g Fp(s)g Fs(v)-5 b(aries,)38 b(and)f(m)n(ust)g(therefore)
g(b)r(e)g(written)g Fp(\037)2123 4730 y Fl(j)2158 4718
y Fs(\()p Fp(s)p Fs(\).)66 b(Using)37 b(Stirling's)g(form)n(ula)f
Fp(n)p Fs(!)j Fi(\030)456 4799 y(p)p 525 4799 142 4 v
69 x Fs(2)p Fp(\031)s(n)18 b Fi(\001)g Fp(n)776 4837
y Fl(n)821 4868 y Fp(e)860 4837 y Fg(\000)p Fl(n)957
4868 y Fs(,)28 b(w)n(e)f(ha)n(v)n(e)g(from)g(\(10\))g(the)h(appro)n
(ximation)502 5121 y Fm(P)p Fs(\()p Fp(C)644 5133 y Fl(j)693
5121 y Fi(j)14 b Fp(s)p Fs(\))23 b Fi(\030)g Fs(exp)1038
4979 y Fh(")1163 5042 y(X)1087 5224 y Fl(f)7 b Fg(2F)f
Fn(\()p Fl(G)1303 5232 y Fj(j)1333 5224 y Fn(\))1372
5121 y Fp(f)j Fs(\()p Fp(s)p Fs(\))14 b(log)1676 5100
y Fh(e)1660 5121 y Fp(R)1723 5133 y Fl(C)1771 5141 y
Fj(j)1806 5121 y Fs(\()p Fp(f)9 b Fs(\))19 b(+)2032 5065
y(1)p 2032 5102 42 4 v 2032 5178 a(2)2097 5121 y(log)2204
5054 y Fh(\002)2239 5121 y Fs(2)p Fp(\031)s(\037)2383
5133 y Fl(j)2418 5121 y Fs(\()p Fp(s)p Fs(\))2521 5054
y Fh(\003)2574 5121 y Fs(+)f Fp(\037)2709 5133 y Fl(j)2744
5121 y Fs(\()p Fp(s)p Fs(\))c(log)h Fp(\037)3035 5133
y Fl(j)3069 5121 y Fs(\()p Fp(s)p Fs(\))p eop end
%%Page: 19 19
TeXDict begin 19 18 bop 1428 251 a Fn(THE)30 b(DBA)n(CL)g(TEXT)f
(CLASSIFIER)906 b(19)985 512 y Fi(\000)1144 433 y Fh(X)1068
615 y Fl(f)7 b Fg(2F)f Fn(\()p Fl(G)1284 623 y Fj(j)1314
615 y Fn(\))1101 684 y Fl(f)h Fn(\()p Fl(s)p Fn(\))p
Fl(>)p Fn(0)1340 420 y Fh(\020)1400 456 y Fs(1)p 1400
493 42 4 v 1400 569 a(2)1465 512 y(log)1572 445 y Fh(\002)1607
512 y Fs(2)p Fp(\031)s(f)i Fs(\()p Fp(s)p Fs(\))1852
445 y Fh(\003)1905 512 y Fs(+)18 b Fp(f)9 b Fs(\()p Fp(s)p
Fs(\))14 b(log)g Fp(f)9 b Fs(\()p Fp(s)p Fs(\))2429 420
y Fh(\021)2478 370 y(#)2527 512 y Fp(;)824 862 y Fs(=)23
b(exp)1038 770 y Fh(h)1078 862 y Fi(\000)p Fp(\037)1195
874 y Fl(j)1229 862 y Fs(\()p Fp(s)p Fs(\))p Fp(D)r Fs(\()p
Fp(`)1470 874 y Fl(j)1506 862 y Fs(\()p Fp(s)p Fs(\))p
Fi(k)1666 841 y Fh(e)1651 862 y Fp(R)1714 874 y Fl(C)1762
882 y Fj(j)1796 862 y Fs(\))c(+)1940 806 y(1)p 1940 843
V 1940 919 a(2)2005 862 y(log)2113 795 y Fh(\002)2147
862 y Fs(2)p Fp(\031)s(\037)2291 874 y Fl(j)2326 862
y Fs(\()p Fp(s)p Fs(\)])g Fi(\000)2630 783 y Fh(X)2554
965 y Fl(f)7 b Fg(2F)f Fn(\()p Fl(G)2770 973 y Fj(j)2800
965 y Fn(\))2586 1034 y Fl(f)h Fn(\()p Fl(s)p Fn(\))p
Fl(>)p Fn(0)2849 806 y Fs(1)p 2849 843 V 2849 919 a(2)2915
862 y(log)3022 795 y Fh(\002)3057 862 y Fs(2)p Fp(\031)s(f)i
Fs(\()p Fp(s)p Fs(\))3302 795 y Fh(\003)3336 770 y(i)3375
862 y Fp(;)456 1189 y Fs(where)20 b Fp(`)724 1201 y Fl(j)759
1189 y Fs(\()p Fp(s)p Fs(\)\()p Fp(f)9 b Fs(\))23 b(=)g
Fp(f)9 b Fs(\()p Fp(s)p Fs(\))p Fp(=\037)1334 1201 y
Fl(j)1369 1189 y Fs(\()p Fp(s)p Fs(\))21 b(is)g(the)g(empirical)g
(feature)f(distribution)i(of)e Fp(s)h Fs(\(i.e.)h(a)f(measure)456
1338 y(on)30 b Fi(F)8 b Fs(\()p Fp(G)p Fs(\)\),)33 b(and)e
Fp(D)r Fs(\()p Fi(\001k\001)p Fs(\))h(is)e(the)i(Kullbac)n(k-Leibler)d
(distance)i(on)f Fi(F)8 b Fs(\()p Fp(G)p Fs(\).)48 b(This)31
b(sho)n(ws)f(that)456 1488 y(the)f(exp)r(onen)n(t)f(is)g(essen)n
(tially)g(prop)r(ortional)f(to)h(the)h(complexit)n(y)f(of)g
Fp(s)h Fs(as)f Fp(\037)2907 1500 y Fl(j)2942 1488 y Fs(\()p
Fp(s)p Fs(\))h(gets)f(large.)456 1637 y(Unfortunately)-7
b(,)25 b(ev)n(en)g(if)g(w)n(e)g(drop)f(the)i(last)f(t)n(w)n(o)f
(correction)f(factors)h(in)i(the)f(limit,)h(calculat-)456
1787 y(ing)j Fp(D)r Fs(\()p Fp(`)734 1799 y Fl(j)769
1787 y Fs(\()p Fp(s)p Fs(\))p Fi(k)930 1766 y Fh(e)914
1787 y Fp(R)977 1799 y Fl(C)1025 1807 y Fj(j)1060 1787
y Fs(\))h(still)h(requires)d(the)j(storage)d(in)i(memory)f(of)h(all)g
(the)g(\014nal)g(coun)n(ts)f Fp(f)9 b Fs(\()p Fp(s)p
Fs(\).)456 1936 y(Th)n(us)21 b(w)n(e)g(see)g(that)h(for)f(mixed)g(m)n
(ultinomial)h(mo)r(dels,)g(calculating)f Fm(P)p Fs(\()p
Fp(C)2750 1948 y Fl(j)2799 1936 y Fi(j)14 b Fp(s)p Fs(\))22
b(is)f(una)n(v)n(oidably)456 2085 y Fp(O)521 2018 y Fh(\000)559
2085 y Fp(\037)p Fs(\()p Fp(s)p Fs(\))e(+)f Fp(\037)p
Fs(\()p Fp(C)959 2097 y Fn(1)997 2085 y Fs(\))h(+)f Fi(\001)c(\001)g
(\001)k Fs(+)g Fp(\037)p Fs(\()p Fp(C)1472 2097 y Fl(k)1514
2085 y Fs(\))1546 2018 y Fh(\001)1612 2085 y Fs(in)27
b(memory)g(storage.)555 2235 y(The)34 b(sp)r(ecial)g(case)f(when)i(a)e
(single)h(category)e Fp(C)40 b Fs(=)34 b Fp(C)2326 2247
y Fn(1)2398 2235 y Fs(is)g(pro)n(vided)f(needs)h(a)f(di\013eren)n(t)456
2384 y(approac)n(h.)46 b(F)-7 b(rom)31 b(the)h(ab)r(o)n(v)n(e)e
(computations,)h(the)h(probabilit)n(y)f(of)g(generating)f(a)h(string)f
Fp(s)456 2534 y Fs(from)k(the)h(probabilit)n(y)e Fm(P)1291
2546 y Fl(C)1381 2534 y Fs(is)h(exp)r(onen)n(tially)g(small,)i(with)f
(exp)r(onen)n(t)f Fp(\037)p Fs(\()p Fp(s)p Fs(\).)58
b(W)-7 b(e)35 b(assume)456 2683 y(that)26 b(the)g(features)g(of)g
Fp(s)g Fs(are)f(stationary)f(with)j(marginal)d(distribution)i
Fm(P)g Fs(\(a)g(probabilit)n(y)f(on)456 2833 y Fi(F)8
b Fs(\()p Fp(G)p Fs(\)\),)28 b(and)g(if)g(w)n(e)f(tak)n(e)g(the)h
(limit)g(w)n(e)g(obtain)1318 3044 y(lim)1247 3101 y Fl(\037)p
Fn(\()p Fl(s)p Fn(\))p Fg(!1)1518 3044 y Fp(\037)p Fs(\()p
Fp(s)p Fs(\))1674 3002 y Fg(\000)p Fn(1)1777 3044 y Fs(log)14
b Fm(P)1949 3056 y Fl(C)2004 3044 y Fs(\()p Fp(s)p Fs(\))24
b(=)e Fi(\000)p Fp(D)r Fs(\()p Fm(P)p Fi(k)2494 3023
y Fh(e)2479 3044 y Fp(R)2542 3056 y Fl(C)2597 3044 y
Fs(\))p Fp(:)456 3255 y Fs(If)32 b(the)g(logarithm)e(is)i(tak)n(en)f
(to)h(the)g(base)f(2,)h(then)g(the)g(resulting)g Fq(cr)l(oss)h(entr)l
(opy)h Fs(,)f(de\014ned)456 3405 y(as)28 b Fi(\000)p
Fp(\037)p Fs(\()p Fp(s)p Fs(\))779 3375 y Fg(\000)p Fn(1)882
3405 y Fs(log)990 3425 y Fn(2)1041 3405 y Fm(P)1092 3417
y Fl(C)1147 3405 y Fs(\()p Fp(s)p Fs(\))i(and)f(measured)g(in)h(bits,)g
(has)f(the)h(follo)n(wing)e(alternativ)n(e)g(in)n(tepre-)456
3554 y(tation:)37 b(if)29 b(w)n(e)e(compress)g(the)h(admissible)g
(string)f Fp(s)h Fs(with)h(an)f(arithmetic)f(co)r(der,)h(and)g(using)
456 3704 y(the)i(mo)r(del)g Fm(P)901 3716 y Fl(C)957
3704 y Fs(,)h(then)f(the)h(cross)e(en)n(trop)n(y)f(giv)n(es)h(the)i(n)n
(um)n(b)r(er)f(of)g(bits)g(needed)h(on)e(a)n(v)n(erage)456
3853 y(for)c(eac)n(h)h(enco)r(ded)g(feature.)36 b(This)26
b(quan)n(tit)n(y)g(can)g(b)r(e)h(used)f(when)g(c)n(ho)r(osing)f(the)i
(b)r(est)f(\(most)456 4002 y(parsimonious\))g(mo)r(del)i(according)d
(to)j(the)g Fq(Minimum)i(Description)h(L)l(ength)e(Principle)p
Fs(.)456 4214 y(8.2.)40 b Fx(Sequen)m(tial)35 b(case.)42
b Fs(Due)31 b(to)f(the)h(absence)e(of)i(factorial)e(terms,)i(the)g
(case)e(when)i Fp(G)g Fs(is)456 4364 y(sequen)n(tial)d(is)h(less)g(cum)
n(b)r(ersome.)42 b(F)-7 b(rom)29 b(\(11\))g(and)g(the)g(Large)f
(Deviation)h(appro)n(ximation)456 4513 y(\(Sano)n(v\),)e(if)h
Fp(m)f Fs(is)h(the)g(highest)f Fp(n)p Fs(-gram)f(order)g(in)i(the)g(mo)
r(del,)g(then)539 4762 y Fm(P)p Fs(\()p Fp(C)681 4774
y Fl(j)730 4762 y Fi(j)14 b Fp(s)p Fs(\))23 b Fi(\031)g
Fp(K)1026 4728 y Fg(\000)p Fn(1)1128 4762 y Fs(exp)1255
4670 y Fh(\020)1378 4683 y(X)1304 4865 y Fl(f)7 b Fg(2F)f
Fn(\()p Fl(C)1516 4873 y Fj(j)1546 4865 y Fn(\))1586
4762 y Fp(\025)1634 4774 y Fl(t)1664 4762 y Fp(f)j Fs(\()p
Fp(s)p Fs(\))18 b(+)1992 4683 y Fh(X)1918 4865 y Fl(f)7
b Fg(2F)2050 4873 y Fk(1)2082 4865 y Fn(\()p Fl(G)p Fn(\))2199
4762 y Fs(log)14 b Fp(R)2383 4774 y Fl(C)2431 4782 y
Fj(j)2466 4762 y Fs(\()p Fp(f)9 b Fs(\))19 b Fi(\000)f
Fp(\037)2734 4774 y Fl(m)2797 4762 y Fs(\()p Fp(s)p Fs(\))c(log)3052
4741 y(^)3035 4762 y Fp(Z)3092 4774 y Fl(C)3140 4782
y Fj(j)3170 4774 y Fl(;m)3253 4670 y Fh(\021)3303 4762
y Fp(;)843 5088 y(K)28 b Fs(=)1072 4984 y Fl(k)1030 5009
y Fh(X)1032 5186 y Fl(j)s Fn(=1)1164 5088 y Fs(exp)1291
4996 y Fh(\020)1414 5009 y(X)1340 5191 y Fl(f)7 b Fg(2F)f
Fn(\()p Fl(C)1552 5199 y Fj(j)1582 5191 y Fn(\))1621
5088 y Fp(\025)1669 5100 y Fl(t)1699 5088 y Fp(f)j Fs(\()p
Fp(s)p Fs(\))19 b(+)2027 5009 y Fh(X)1954 5191 y Fl(f)7
b Fg(2F)2086 5199 y Fk(1)2117 5191 y Fn(\()p Fl(G)p Fn(\))2235
5088 y Fs(log)14 b Fp(R)2419 5100 y Fl(C)2467 5108 y
Fj(j)2502 5088 y Fs(\()p Fp(f)9 b Fs(\))18 b Fi(\000)g
Fp(\037)2769 5100 y Fl(m)2832 5088 y Fs(\()p Fp(s)p Fs(\))c(log)3088
5067 y(^)3071 5088 y Fp(Z)3128 5100 y Fl(C)3176 5108
y Fj(j)3206 5100 y Fl(;m)3289 4996 y Fh(\021)3338 5088
y Fp(;)p eop end
%%Page: 20 20
TeXDict begin 20 19 bop 456 251 a Fn(20)1212 b(L.A.)22
b(BREYER)456 450 y Fs(where)713 429 y(^)696 450 y Fp(Z)753
462 y Fl(C)801 470 y Fj(j)831 462 y Fl(;m)941 450 y Fs(w)n(as)27
b(calculated)g(as)g(part)g(of)h(the)g(en)n(trop)n(y)e(maximization)h
(\(14\))o(,)h(\(15\))f(as)576 793 y(log)714 772 y(^)697
793 y Fp(Z)754 805 y Fl(C)802 813 y Fj(j)832 805 y Fl(;m)915
793 y Fs(\()p Fp(s)p Fs(\))c(=)1155 737 y(1)p 1139 774
73 4 v 1139 850 a Fp(m)1236 793 y Fs(log)1343 701 y Fh(h)1481
714 y(X)1382 896 y Fl(f)7 b Fg(2F)1514 904 y Fj(m)1569
896 y Fn(\()p Fl(C)1643 904 y Fj(j)1673 896 y Fn(\))1699
701 y Fh(\020)1749 793 y Fp(e)1788 756 y Fl(m\025)1886
765 y Fj(f)1923 756 y Fn(+)1974 712 y Fb(P)2044 775 y
Fj(j)2086 756 y Fl(m\025)2184 776 y Fj(\034)2217 763
y(j)2249 776 y(f)2309 793 y Fi(\000)18 b Fs(1)2434 701
y Fh(\021)2483 793 y Fp(R)2547 758 y Fg(\012)p Fl(m)2546
818 y(C)2594 826 y Fj(j)2661 793 y Fs(\()p Fp(f)9 b Fs(\))19
b(+)f(\010)2937 805 y Fl(C)2985 813 y Fj(j)3016 805 y
Fl(;m;m)p Fg(\000)p Fn(1)3262 701 y Fh(i)3301 793 y Fp(:)555
1181 y Fs(Ho)n(w)n(ev)n(er,)33 b(when)g(the)g(comp)r(eting)g
(categories)e(are)h(based)h(on)f(di\013eren)n(t)i(sets)e(of)h(regular)
456 1330 y(expressions,)25 b(care)g(m)n(ust)i(b)r(e)g(tak)n(en)f(to)g
(coun)n(t)g(eac)n(h)g(matc)n(hed)g(feature)h(the)g(correct)e(n)n(um)n
(b)r(er)456 1480 y(of)33 b(times.)53 b(This)34 b(can)e(b)r(e)i
(somewhat)e(tric)n(ky)h(with)g(a)g(single)g(pass)f(in)h(case)g(of)g
(complicated)456 1629 y(o)n(v)n(erlapping)e(tok)n(ens,)j(so)g
Fx(dbacl)g Fs(mak)n(es)e(sev)n(eral)g(passes)h(o)n(v)n(er)f(eac)n(h)h
(line)h(of)f(the)h(string)f Fp(s)p Fs(,)456 1778 y(one)24
b(for)h(eac)n(h)g(regular)e(expression)h(in)h Fp(G)p
Fs(.)37 b(This)25 b(metho)r(d)h(tak)n(es)e(adv)-5 b(an)n(tage)24
b(of)h(the)h(fact)f(that)456 1928 y(regular)i(expressions)g(do)i(not)h
(straddle)e(newlines,)i(since)f(one)f(full)i(line)g(is)f(k)n(ept)g(in)g
(memory)456 2077 y(for)e(regular)e(expression)i(matc)n(hing)g(an)n(yw)n
(a)n(y)-7 b(.)555 2227 y(Ev)n(ery)35 b(simple)h(mo)r(del)h(also)e(has)h
(a)g(sequen)n(tial)g(in)n(terpretation,)h(giv)n(en)f(b)n(y)h(\(10\),)h
(when)456 2376 y(all)30 b(factorial)g(co)r(e\016cien)n(ts)h(are)f
(omitted.)48 b(Probabilistically)-7 b(,)30 b(the)i(simple)f(mo)r(del)g
(describ)r(es)456 2526 y(equiv)-5 b(alence)32 b(classes)f(of)h
(strings,)h(while)g(the)g(corresp)r(onding)e(sequen)n(tial)g(mo)r(del)i
(describ)r(es)456 2675 y(all)27 b(actual)g(p)r(erm)n(utations.)36
b(Ba)n(y)n(es')26 b(form)n(ula)h(\(1\))g(cannot)g(b)r(e)h(directly)g
(applied)f(with)h(mixed)456 2825 y(string)19 b(in)n(terpretations,)i
(so)f(when)g(comparing)f(sequen)n(tial)h(and)g(m)n(ultinomial)h(t)n(yp)
r(es)f(of)h(mo)r(d-)456 2974 y(els,)27 b Fx(dbacl)h Fs(con)n(v)n(erts)e
(them)i(all)g(to)f(sequen)n(tial)g(form.)555 3123 y(F)-7
b(or)40 b(simple)h(mo)r(dels,)i(if)e(the)g(option)f Fq(-M)h
Fs(is)f(selected,)j Fx(dbacl)e Fs(will)g(p)r(erform)f(the)h(full)456
3273 y(m)n(ultinomial)26 b(score)f(calculation,)h(e.g.)g(for)g(purp)r
(oses)g(of)g(comparison)f(with)i(other)f(soft)n(w)n(are.)456
3422 y(Note)21 b(that)h(the)g(cross)e(en)n(trop)n(y)g(rep)r(orted)h(in)
h(the)g(m)n(ultinomial)g(case)e(is)i(alw)n(a)n(ys)e(lo)n(w)n(er)g(than)
h(in)456 3572 y(the)27 b(sequen)n(tial)e(case,)h(since)h(feature)f
(ordering,)f(while)i(irrelev)-5 b(an)n(t)25 b(in)i(b)r(oth)g(in)n
(terpretations,)456 3721 y(is)h(only)f(ignored)g(in)i(the)f(m)n
(ultinomial)g(case.)38 b(There)28 b(is)g(no)g(di\013erence)g(in)g(the)h
(classi\014cation)456 3871 y(results)k(for)g(sequen)n(tial)g(or)f(m)n
(ultinomial)i(unigram)e(mo)r(dels,)k(since)d(the)h(extra)f(terms)g
(only)456 4020 y(dep)r(end)28 b(on)f(the)h(empirical)f(measure)g(of)g
(the)h(do)r(cumen)n(t)g(b)r(eing)g(classi\014ed.)555
4169 y(In)23 b(the)g(case)f(of)g(a)h(single)f(\(sequen)n(tial\))g
(category)-7 b(,)22 b(the)h(cross)e(en)n(trop)n(y)h(is)g(calculated)g
(in)h(the)456 4319 y(usual)f(w)n(a)n(y)-7 b(,)23 b(namely)f
Fi(\000)p Fp(\037)1249 4331 y Fl(m)1312 4319 y Fs(\()p
Fp(s)p Fs(\))1415 4289 y Fg(\000)p Fn(1)1518 4319 y Fs(log)14
b Fm(P)1690 4331 y Fl(C;m)1821 4319 y Fs(\()p Fp(s)p
Fs(\).)36 b(Under)22 b(suitable)h(stationarit)n(y)e(assumptions,)456
4468 y(the)33 b(Shannon-McMillan-Breiman)f(theorem)h(guaran)n(tees)e
(that)j(this)f(quan)n(tit)n(y)g(con)n(v)n(erges)456 4618
y(as)27 b Fp(\037)610 4630 y Fl(m)673 4618 y Fs(\()p
Fp(s)p Fs(\))h(tends)g(to)f(in\014nit)n(y)-7 b(.)555
4767 y Fx(Remark.)45 b Fs(The)30 b(user)g(is)g(resp)r(onsible)g(for)f
(making)h(sure)g(that)g Fp(G)h Fs(is)f(in)h(fact)f(sequen)n(tial,)456
4917 y Fx(dbacl)h Fs(mak)n(es)f(no)h(attempt)h(to)f(v)n(erify)g
(consistency)-7 b(.)46 b(The)32 b(basic)e(1-grams)f(are)h(tak)n(en)h
(only)456 5066 y(from)e(those)g(regular)f(expressions)g(whic)n(h)i(tag)
f(exactly)g(one)g(susbstring,)g(and)h(eac)n(h)e(1-gram)456
5216 y(is)f(coun)n(ted)g(as)g(man)n(y)g(times)h(as)f(some)g(regular)f
(expression)g(in)i Fi(F)2549 5228 y Fn(1)2586 5216 y
Fs(\()p Fp(G)p Fs(\))g(matc)n(hes)f(it.)p eop end
%%Page: 21 21
TeXDict begin 21 20 bop 1428 251 a Fn(THE)30 b(DBA)n(CL)g(TEXT)f
(CLASSIFIER)906 b(21)1482 450 y Fs(9.)41 b Fr(Logarithmic)31
b(scores)555 649 y Fs(In)i(this)f(section,)h(w)n(e)f(further)h(describ)
r(e)f(the)g(factorizations)f(of)h(the)h(logarithmic)e(scores)456
799 y(in)n(to)c(meaningul)g(information-theoretic)f(quan)n(tities.)456
1041 y(9.1.)40 b Fx(Simple)33 b(case.)41 b Fs(As)29 b(sho)n(wn)g(in)h
(Section)f(8,)h(the)g(log)e(probabilit)n(y)h(of)g(b)r(elonging)g(to)g
(the)456 1190 y(class)d Fp(C)709 1202 y Fl(j)772 1190
y Fs(is)i(appro)n(ximately)e(prop)r(ortional)f(to)j(the)g(complexit)n
(y)f Fp(\037)2599 1202 y Fl(j)2634 1190 y Fs(\()p Fp(s)p
Fs(\),)h(via)456 1424 y(\(21\))670 b Fi(\000)14 b Fs(log)g
Fm(P)p Fs(\()p Fp(C)1616 1436 y Fl(j)1651 1424 y Fi(j)p
Fp(s)p Fs(\))24 b Fi(\031)e Fp(\037)1908 1436 y Fl(j)1943
1424 y Fs(\()p Fp(s)p Fs(\))d Fi(\001)g Fp(D)r Fs(\()p
Fp(`)2245 1436 y Fl(j)2279 1424 y Fs(\()p Fp(s)p Fs(\))p
Fi(k)2440 1403 y Fh(e)2424 1424 y Fp(R)2487 1436 y Fl(C)2535
1444 y Fj(j)2570 1424 y Fs(\))p Fp(:)456 1658 y Fs(The)31
b(Kullbac)n(k-Leibler)f(div)n(ergence)g(measures)g(the)i(di\013erence)f
(b)r(et)n(w)n(een)h(the)g(class)e(mo)r(del)471 1786 y
Fh(e)456 1807 y Fp(R)519 1819 y Fl(C)567 1827 y Fj(j)630
1807 y Fs(and)e(the)g(empirical)g(measure)f Fp(`)1655
1819 y Fl(j)1690 1807 y Fs(\()p Fp(s)p Fs(\))i(of)f(the)g(do)r(cumen)n
(t.)39 b(Note)29 b(that)f(b)r(oth)h(these)f(mea-)456
1957 y(sures)c(are)h(measures)f(on)i Fi(F)8 b Fs(\()p
Fp(G)p Fs(\),)27 b(and)e(that)h(is)g(the)g(set)f(where)g(the)h(div)n
(ergence)f(is)g(computed.)456 2199 y(9.2.)40 b Fx(Sequen)m(tial)35
b(case.)41 b Fs(F)-7 b(or)30 b(the)g(sequen)n(tial)f(case,)h(a)g
(similar)f(factorization)g(is)h(p)r(ossible.)456 2348
y(Again,)35 b(w)n(e)f(m)n(ust)h(w)n(ork)e(on)h Fi(F)8
b Fs(\()p Fp(G)p Fs(\),)37 b(but)e(since)f(the)h(appro)n(ximations)d
(dep)r(end)j(on)f Fp(m)h Fs(\(the)456 2498 y(highest)26
b Fp(n)p Fs(-gram)e(order\),)i(it)g(is)g(natural)g(to)g(w)n(ork)e(only)
i(on)g(the)h(subset)f Fi(F)2805 2510 y Fl(m)2868 2498
y Fs(\()p Fp(G)p Fs(\).)37 b(As)26 b(in)h(\(10\))o(,)456
2647 y(de\014ne)456 2940 y(\(22\))705 2919 y Fh(e)689
2940 y Fp(R)752 2952 y Fl(C)808 2940 y Fs(\()p Fp(f)9
b Fs(\))23 b(=)1033 2745 y Fh(8)1033 2820 y(>)1033 2844
y(<)1033 2994 y(>)1033 3019 y(:)1107 2865 y Fp(Z)1170
2830 y Fg(\000)p Fn(1)1164 2890 y Fl(C;m)1308 2865 y
Fs(exp)1435 2773 y Fh(h)1474 2865 y Fp(\025)1522 2877
y Fl(f)1584 2865 y Fs(+)1667 2803 y Fh(P)1755 2824 y
Fl(m)p Fg(\000)p Fn(1)1755 2890 y Fl(j)s Fn(=1)1917 2865
y Fp(\025)1965 2881 y Fl(\034)2003 2864 y Fj(j)2033 2881
y Fl(f)2077 2773 y Fh(i)2134 2865 y Fi(\001)c Fp(R)2240
2830 y Fg(\012)p Fl(m)2239 2890 y(C)2354 2865 y Fs(\()p
Fp(f)9 b Fs(\))83 b(if)29 b Fp(f)i Fi(2)24 b(F)2839 2877
y Fl(m)2901 2865 y Fs(\()p Fp(C)6 b Fs(\))1107 3045 y
Fp(Z)1170 3009 y Fg(\000)p Fn(1)1164 3069 y Fl(C;m)1294
3045 y Fp(R)1358 3009 y Fg(\012)p Fl(m)1357 3069 y(C)1473
3045 y Fs(\()p Fp(f)j Fs(\))964 b(if)29 b Fp(f)i Fi(2)24
b(F)2839 3057 y Fl(m)2901 3045 y Fs(\()p Fp(G)p Fs(\))p
Fi(nF)3132 3057 y Fl(m)3195 3045 y Fs(\()p Fp(C)6 b Fs(\))q
Fp(;)456 3254 y Fs(where)30 b Fp(Z)756 3266 y Fl(C;m)918
3254 y Fs(w)n(as)g(computed)h(in)g(\(14\).)47 b(Let)31
b Fp(`)p Fs(\()p Fp(s)p Fs(\)\()p Fp(f)9 b Fs(\))29 b(=)g
Fp(f)9 b Fs(\()p Fp(s)p Fs(\))p Fp(=\037)2559 3266 y
Fl(m)2621 3254 y Fs(\()p Fp(s)p Fs(\),)33 b(and)e(write)g
Fp(H)7 b Fs(\()p Fp(\026)p Fs(\))29 b(=)456 3403 y Fi(\000)535
3341 y Fh(P)622 3428 y Fl(f)679 3403 y Fp(\026)p Fs(\()p
Fp(f)9 b Fs(\))14 b(log)g Fp(\026)p Fs(\()p Fp(f)9 b
Fs(\))27 b(to)h(represen)n(t)e(the)i(Shannon)f(en)n(trop)n(y)f(of)i
(the)g(measure)e Fp(\026)i Fs(on)f Fi(F)3229 3415 y Fl(m)3291
3403 y Fs(\()p Fp(G)p Fs(\).)456 3552 y(In)g(terms)h(of)f(these)h(quan)
n(tities,)f(w)n(e)g(ha)n(v)n(e)456 3786 y(\(23\))473
b Fi(\000)14 b Fs(log)f Fm(P)p Fs(\()p Fp(C)6 b Fi(j)p
Fp(s)p Fs(\))24 b Fi(\031)e Fp(\037)1681 3798 y Fl(m)1744
3786 y Fs(\()p Fp(s)p Fs(\))d Fi(\001)1908 3694 y Fh(h)1947
3786 y Fp(D)r Fs(\()p Fp(`)p Fs(\()p Fp(s)p Fs(\))p Fi(k)2246
3765 y Fh(e)2230 3786 y Fp(R)2293 3798 y Fl(C)2349 3786
y Fs(\))g(+)f Fp(H)7 b Fs(\()p Fp(`)p Fs(\()p Fp(s)p
Fs(\)\))2761 3694 y Fh(i)2800 3786 y Fp(;)456 4020 y
Fs(whic)n(h)29 b(can)g(b)r(e)g(v)n(eri\014ed)g(b)n(y)g(expanding)g(the)
g(quan)n(tities)g(on)g(the)h(left)g(and)f(comparing)f(with)456
4169 y(the)23 b(form)n(ula)f(in)h(Section)h(8.)34 b(The)24
b(extra)e(Shannon)h(en)n(trop)n(y)e(arises)h(here)h(b)r(ecause)f
(sequen)n(tial)456 4319 y(mo)r(del)27 b(probabilities)f(are)g
(de\014ned)h(on)g(actual)f(strings)g Fp(s)p Fs(,)h(whereas)f(in)h(the)h
(simple)f(case,)f(the)456 4468 y(probabilities)34 b(are)g(de\014ned)i
(on)f(the)h(equiv)-5 b(alence)35 b(classes)f(of)h(strings)f(\(i.e.)i
Fq(typ)l(es)p Fs(,)i(Csiszar,)456 4618 y(1998\).)555
4767 y(Giv)n(en)f(the)g(score,)g(the)g(div)n(ergence)e(can)h(therefore)
g(b)r(e)h(obtained)f(b)n(y)g(subtracting)g(the)456 4917
y(Shannon)19 b(en)n(trop)n(y)-7 b(.)33 b(Computationally)-7
b(,)21 b(this)f(requires)e(k)n(eeping)h(in)i(memory)e(all)g(the)h
(relev)-5 b(an)n(t)456 5066 y(feature)22 b(coun)n(ts)h
Fp(f)9 b Fs(\()p Fp(s)p Fs(\),)24 b(as)e(for)h(simple)g(mo)r(dels.)35
b(A)23 b(con)n(v)n(enien)n(t)f(w)n(a)n(y)g(of)h(calculating)f
Fp(H)7 b Fs(\()p Fp(`)3274 5078 y Fl(j)3309 5066 y Fs(\()p
Fp(s)p Fs(\)\))456 5216 y(for)37 b(sev)n(eral)e(categories)h(sim)n
(ultaneously)-7 b(,)39 b(is)e(using)g(Stirling's)g(appro)n(ximation)f
Fp(n)14 b Fs(log)g Fp(n)39 b Fi(\031)p eop end
%%Page: 22 22
TeXDict begin 22 21 bop 456 251 a Fn(22)1212 b(L.A.)22
b(BREYER)456 450 y Fp(n)c Fi(\000)g Fs(log)728 381 y
Fi(p)p 797 381 142 4 v 69 x Fs(2)p Fp(\031)s(n)g Fs(+)g(log)c
Fp(n)p Fs(!,)28 b(and)f(expanding)g(in)n(to)h(a)f(telescoping)g(sum:)
490 697 y Fp(H)7 b Fs(\()p Fp(`)p Fs(\()p Fp(s)p Fs(\)\))24
b Fi(\031)946 640 y Fs(1)p 890 678 156 4 v 890 754 a
Fp(\037)p Fs(\()p Fp(s)p Fs(\))1055 604 y Fh(h)1201 618
y(X)1094 800 y Fg(f)p Fl(f)7 b Fn(:)p Fl(f)g Fn(\()p
Fl(s)p Fn(\))p Fl(>)p Fn(0)p Fg(g)1427 604 y Fh(\020)1477
697 y Fs(1)17 b Fi(\000)1629 640 y Fs(1)p 1629 678 42
4 v 1629 754 a(2)1695 697 y(log\(2)p Fp(\031)s Fs(\))1958
604 y Fh(\021)2026 697 y Fs(+)2109 586 y Fl(f)7 b Fn(\()p
Fl(s)p Fn(\))2111 618 y Fh(X)2110 797 y Fl(k)q Fn(=2)2232
604 y Fh(\020)2281 697 y Fs(1)18 b(+)2434 640 y(1)p 2434
678 V 2434 754 a(2)2499 697 y(log)c Fp(k)s Fs(\()p Fp(k)22
b Fs(+)c(1\))2920 604 y Fh(\021)o(i)3027 697 y Fi(\000)g
Fs(log)c Fp(\037)p Fs(\()p Fp(s)p Fs(\))p Fp(:)456 948
y Fs(This)28 b(has)g(the)g(adv)-5 b(an)n(tage)27 b(o)n(v)n(er)g(the)h
(exact)g(computation)g(that)h(the)f(computed)h(div)n(ergence)456
1097 y(is)e(o)n(v)n(erestimated,)f(reducing)h(the)h(incidence)g(of)f
(sometimes)g(negativ)n(e)g(v)-5 b(alues.)456 1306 y(9.3.)40
b Fx(Div)m(ergence)c(asymptotics.)41 b Fs(Let)32 b Fp(')p
Fs(\()p Fp(x)p Fs(\))e(=)e(1)21 b Fi(\000)f Fp(x)i Fs(+)e
Fp(x)14 b Fs(log)g Fp(x)p Fs(,)33 b(then)f(expanding)e(this)456
1455 y(function)e(in)n(to)f(a)g(T)-7 b(a)n(ylor)26 b(series)h(ab)r(out)
g Fp(x)d Fs(=)e(1,)28 b(w)n(e)f(ha)n(v)n(e)456 1701 y(\(24\))161
b Fp(D)r Fs(\()p Fp(`)p Fs(\()p Fp(s)p Fs(\))p Fi(k)p
Fm(P)1099 1713 y Fl(C)1155 1701 y Fs(\))23 b(=)1298 1588
y Fh(Z)1395 1701 y Fp(')1449 1609 y Fh(\020)1509 1645
y Fp(d`)p Fs(\()p Fp(s)p Fs(\))p 1509 1682 182 4 v 1524
1758 a Fp(d)p Fm(P)1618 1770 y Fl(C)1700 1609 y Fh(\021)1749
1701 y Fp(d)p Fm(P)1843 1713 y Fl(C)1922 1701 y Fi(\031)2020
1645 y Fs(1)p 2020 1682 42 4 v 2020 1758 a(2)2085 1622
y Fh(X)2126 1801 y Fl(f)2205 1559 y Fh( )2392 1645 y
Fp(f)9 b Fs(\()p Fp(s)p Fs(\))p 2281 1682 377 4 v 2281
1758 a Fp(\037)p Fs(\()p Fp(s)p Fs(\))p Fm(P)2487 1770
y Fl(C)2543 1758 y Fs(\()p Fp(f)g Fs(\))2685 1701 y Fi(\000)18
b Fs(1)2810 1559 y Fh(!)2876 1576 y Fn(2)2913 1701 y
Fm(P)2964 1713 y Fl(c)2997 1701 y Fs(\()p Fp(f)9 b Fs(\))p
Fp(:)555 1950 y Fs(Standard)26 b(asymptotic)g(results)g(suggest)f(that)
i Fp(\037)p Fs(\()p Fp(s)p Fs(\))17 b Fi(\001)f Fp(D)r
Fs(\()p Fp(`)p Fs(\()p Fp(s)p Fs(\))p Fi(k)p Fm(P)2617
1962 y Fl(C)2672 1950 y Fs(\))27 b(has)f(an)g(appro)n(ximate)456
2100 y Fp(\037)508 2070 y Fn(2)571 2100 y Fs(distribution,)h(when)g
Fp(\037)p Fs(\()p Fp(s)p Fs(\))f(is)h(big)f(enough,)g(but)h(in)f(fact,)
h(the)g(analysis)e(is)h(more)g(delicate,)456 2249 y(b)r(ecause)d(the)h
(n)n(um)n(b)r(er)g(of)f(features)h Fp(f)32 b Fs(considered)23
b(is)h(un)n(b)r(ounded)g(as)f Fp(\037)p Fs(\()p Fp(s)p
Fs(\))h(tends)g(to)g(in\014nit)n(y)-7 b(.)456 2399 y(While)36
b(suc)n(h)g(an)f(analysis)g(is)h(b)r(ey)n(ond)f(the)i(scop)r(e)e(of)h
(this)g(pap)r(er,)i(practical)d(exp)r(erimen)n(ts)456
2548 y(nev)n(ertheless)d(suggest)h(that)i Fp(D)r Fs(\()p
Fp(`)p Fs(\()p Fp(s)p Fs(\))p Fi(k)p Fm(P)1743 2560 y
Fl(C)1798 2548 y Fs(\))g(has)e(the)i(more)e(general)g(Gamma)g
(distribution,)456 2698 y(\000\()p Fp(a)584 2710 y Fl(C)640
2698 y Fp(;)14 b(b)713 2710 y Fl(C)768 2698 y Fs(\).)36
b(Making)24 b(this)h(assumption)f(allo)n(ws)f(the)i(computation)g(of)f
(con\014dence)h(estimates)456 2847 y(in)38 b(the)h(n)n(ull)g(h)n(yp)r
(othesis)f(that)g(the)h(la)n(w)f(of)g Fp(`)p Fs(\()p
Fp(s)p Fs(\))h(is)f Fm(P)2244 2859 y Fl(C)2300 2847 y
Fs(.)69 b(More)37 b(precisely)-7 b(,)41 b(let)d Fp(F)3170
2859 y Fl(C)3227 2847 y Fs(\()p Fp(x)p Fs(\))k(=)456
2997 y Fm(P)p Fs(\(\000\()p Fp(a)667 3009 y Fl(C)723
2997 y Fp(;)14 b(b)796 3009 y Fl(C)851 2997 y Fs(\))23
b Fp(>)g(x)p Fs(\))28 b(b)r(e)g(the)g(tail)g(probabilit)n(y)-7
b(,)27 b(then)h(the)g(v)-5 b(ariable)26 b Fp(p)p Fs(\()p
Fp(s)p Fs(\))i(de\014ned)g(b)n(y)456 3205 y(\(25\))320
b Fp(p)p Fs(\()p Fp(s)p Fs(\))24 b(=)e(2)c Fi(\001)1282
3088 y Fh(\024)1326 3205 y Fp(F)1379 3217 y Fl(C)1435
3113 y Fh(\020)1484 3205 y Fp(D)r Fs(\()p Fp(`)p Fs(\()p
Fp(s)p Fs(\))p Fi(k)p Fm(P)1818 3217 y Fl(C)1874 3205
y Fs(\))1906 3113 y Fh(\021)1974 3205 y Fi(^)2048 3113
y Fh(\020)2098 3205 y Fs(1)g Fi(\000)g Fp(F)2294 3217
y Fl(C)2350 3113 y Fh(\020)2399 3205 y Fp(D)r Fs(\()p
Fp(`)p Fs(\()p Fp(s)p Fs(\))p Fi(k)p Fm(P)2733 3217 y
Fl(C)2789 3205 y Fs(\))2821 3113 y Fh(\021)2871 3088
y(\023\025)456 3414 y Fs(is)k(uniformly)g(distributed)g(on)g([0)p
Fp(;)14 b Fs(1],)22 b(and)g(satis\014es)g Fp(p)p Fs(\()p
Fp(s)p Fs(\))h Fi(!)g Fs(0)f(if)g(and)g(only)g(if)h Fp(D)r
Fs(\()p Fp(`)p Fs(\()p Fp(s)p Fs(\))p Fi(k)p Fm(P)3251
3426 y Fl(C)3306 3414 y Fs(\))g Fi(!)456 3563 y(f)p Fs(0)p
Fp(;)14 b Fs(+)p Fi(1g)p Fs(.)35 b(Th)n(us)27 b(it)h(can)f(b)r(e)h
(view)n(ed)f(as)g(a)g Fq(p-value)i Fs(for)e(the)h(purp)r(ose)f(of)g
(Fisher's)g Fp(\037)3148 3533 y Fn(2)3213 3563 y Fs(test.)1708
3796 y Fr(References)573 3970 y Fw([1])35 b(Berger,)20
b(A.,)f(Della)f(Pietra,)i(S.A.,)f(and)h(Della)e(Pietra,)i(V.J.)e
(\(1996\))j Fo(A)h(maximum)g(entr)l(opy)g(appr)l(o)l(ach)683
4095 y(to)k(natur)l(al)h(language)f(pr)l(o)l(c)l(essing)p
Fw(.)f(Computational)g(Linguistics)e(22\(1\):)33 b(39{71.)573
4219 y([2])i(Csiszar,)19 b(I.)g(\(1984\))i(Sano)n(v)f(prop)r(ert)n(y)-6
b(,)20 b(generalized)g(I-pro)t(jection)g(and)g(a)f(conditional)h(limit)
e(theorem.)683 4344 y(Ann.)23 b(Probab.)h(12\(3\):)33
b(768{793.)573 4468 y([3])i(Csiszar,)23 b(I.)g(\(1998\))j(The)e(Metho)r
(d)g(of)g(T)n(yp)r(es.)f(IEEE)h(T)-6 b(rans.)23 b(Inform.)g(Theory)-6
b(.)24 b(44\(6\):)33 b(2505{2523.)573 4593 y([4])i(Della)23
b(Pietra,)f(S.A.,)g(Della)h(Pietra,)g(V.J.,)f(and)h(La\013ert)n(y)-6
b(,)24 b(J.)f(\(1997\))i Fo(Inducing)g(fe)l(atur)l(es)h(of)f(r)l(andom)
683 4717 y(\014elds)p Fw(.)f(IEEE)g(T)-6 b(rans.)23 b(P)n(attern)i
(Analysis)e(and)h(Mac)n(hine)g(In)n(telligence)h(19\(4\):)33
b(380{393.)573 4842 y([5])i(MacKa)n(y)-6 b(,)26 b(D.)f(and)i(P)n(eto,)f
(L.)g(\(1995\))h Fo(A)g(Hier)l(ar)l(chic)l(al)j(Dirichlet)c(L)l
(anguage)i(Mo)l(del)p Fw(.)f(Natural)e(Lan-)683 4967
y(guage)g(Engineering)f(1\(3\):)33 b(289{307.)573 5091
y([6])i(Shannon,)20 b(C.E.)d(\(1948\))i Fo(A)h(mathematic)l(al)i(the)l
(ory)e(of)g(c)l(ommunic)l(ation)g Fw(The)e(Bell)f(System)h(T)-6
b(ec)n(hnical)683 5216 y(Journal)24 b(27:)31 b(379{423.)p
eop end
%%Page: 23 23
TeXDict begin 23 22 bop 1428 251 a Fn(THE)30 b(DBA)n(CL)g(TEXT)f
(CLASSIFIER)906 b(23)573 450 y Fw([7])35 b(Zhai,)19 b(C.)f(and)h
(La\013ert)n(y)-6 b(,)20 b(J.)e(\(2001\))j(A)d(study)h(of)f(smo)r
(othing)i(metho)r(ds)f(for)f(language)i(mo)r(dels)e(applied)683
575 y(to)24 b(ad)g(ho)r(c)h(information)e(retriev)l(al.)g
Fo(SIGIR'01)p Fw(.)555 721 y Fo(E-mail)j(addr)l(ess)5
b Fw(:)33 b Fa(laird@lbreyer.com)p eop end
%%Page: 24 24
TeXDict begin 24 23 bop 456 251 a Fn(24)1212 b(L.A.)22
b(BREYER)456 5216 y @beginspecial 72 @llx 72 @lly 540
@urx 802 @ury 5818 @rhi @setspecial
%%BeginDocument: dbaclman1_8_1_page1.eps
%!PS-Adobe-3.0 EPSF-3.0
%%BoundingBox: 72 72 540 802
% EPSF created by ps2eps 1.28
%%Creator: groff version 1.18.1
%%CreationDate: Thu Jul 29 16:14:12 2004
%%DocumentNeededResources: font Times-Roman
%%+ font Times-Bold
%%+ font Times-Italic
%%DocumentSuppliedResources: procset grops 1.18 1
%%PageOrder: Ascend
%%Orientation: Portrait
%%EndComments
%%BeginProlog
save
countdictstack
mark
newpath
/showpage {} def
%%EndProlog
%%Page 1 1
/setpacking where{
pop
currentpacking
true setpacking
}if
/grops 120 dict dup begin
/SC 32 def
/A/show load def
/B{0 SC 3 -1 roll widthshow}bind def
/C{0 exch ashow}bind def
/D{0 exch 0 SC 5 2 roll awidthshow}bind def
/E{0 rmoveto show}bind def
/F{0 rmoveto 0 SC 3 -1 roll widthshow}bind def
/G{0 rmoveto 0 exch ashow}bind def
/H{0 rmoveto 0 exch 0 SC 5 2 roll awidthshow}bind def
/I{0 exch rmoveto show}bind def
/J{0 exch rmoveto 0 SC 3 -1 roll widthshow}bind def
/K{0 exch rmoveto 0 exch ashow}bind def
/L{0 exch rmoveto 0 exch 0 SC 5 2 roll awidthshow}bind def
/M{rmoveto show}bind def
/N{rmoveto 0 SC 3 -1 roll widthshow}bind def
/O{rmoveto 0 exch ashow}bind def
/P{rmoveto 0 exch 0 SC 5 2 roll awidthshow}bind def
/Q{moveto show}bind def
/R{moveto 0 SC 3 -1 roll widthshow}bind def
/S{moveto 0 exch ashow}bind def
/T{moveto 0 exch 0 SC 5 2 roll awidthshow}bind def
/SF{
findfont exch
[exch dup 0 exch 0 exch neg 0 0]makefont
dup setfont
[exch/setfont cvx]cvx bind def
}bind def
/MF{
findfont
[5 2 roll
0 3 1 roll
neg 0 0]makefont
dup setfont
[exch/setfont cvx]cvx bind def
}bind def
/level0 0 def
/RES 0 def
/PL 0 def
/LS 0 def
/MANUAL{
statusdict begin/manualfeed true store end
}bind def
/PLG{
gsave newpath clippath pathbbox grestore
exch pop add exch pop
}bind def
/BP{
/level0 save def
1 setlinecap
1 setlinejoin
72 RES div dup scale
LS{
90 rotate
}{
0 PL translate
}ifelse
1 -1 scale
}bind def
/EP{
level0 restore
showpage
}bind def
/DA{
newpath arcn stroke
}bind def
/SN{
transform
.25 sub exch .25 sub exch
round .25 add exch round .25 add exch
itransform
}bind def
/DL{
SN
moveto
SN
lineto stroke
}bind def
/DC{
newpath 0 360 arc closepath
}bind def
/TM matrix def
/DE{
TM currentmatrix pop
translate scale newpath 0 0 .5 0 360 arc closepath
TM setmatrix
}bind def
/RC/rcurveto load def
/RL/rlineto load def
/ST/stroke load def
/MT/moveto load def
/CL/closepath load def
/Fr{
setrgbcolor fill
}bind def
/Fk{
setcmykcolor fill
}bind def
/Fg{
setgray fill
}bind def
/FL/fill load def
/LW/setlinewidth load def
/Cr/setrgbcolor load def
/Ck/setcmykcolor load def
/Cg/setgray load def
/RE{
findfont
dup maxlength 1 index/FontName known not{1 add}if dict begin
{
1 index/FID ne{def}{pop pop}ifelse
}forall
/Encoding exch def
dup/FontName exch def
currentdict end definefont pop
}bind def
/DEFS 0 def
/EBEGIN{
moveto
DEFS begin
}bind def
/EEND/end load def
/CNT 0 def
/level1 0 def
/PBEGIN{
/level1 save def
translate
div 3 1 roll div exch scale
neg exch neg exch translate
0 setgray
0 setlinecap
1 setlinewidth
0 setlinejoin
10 setmiterlimit
[]0 setdash
/setstrokeadjust where{
pop
false setstrokeadjust
}if
/setoverprint where{
pop
false setoverprint
}if
newpath
/CNT countdictstack def
userdict begin
/showpage{}def
}bind def
/PEND{
clear
countdictstack CNT sub{end}repeat
level1 restore
}bind def
end def
/setpacking where{
pop
setpacking
}if
grops begin/DEFS 1 dict def DEFS begin/u{.001 mul}bind def end/RES 72
def/PL 841.89 def/LS false def/ENC0[/asciicircum/asciitilde/Scaron
/Zcaron/scaron/zcaron/Ydieresis/trademark/quotesingle/Euro/.notdef
/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef
/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef
/.notdef/.notdef/.notdef/space/exclam/quotedbl/numbersign/dollar/percent
/ampersand/quoteright/parenleft/parenright/asterisk/plus/comma/hyphen
/period/slash/zero/one/two/three/four/five/six/seven/eight/nine/colon
/semicolon/less/equal/greater/question/at/A/B/C/D/E/F/G/H/I/J/K/L/M/N/O
/P/Q/R/S/T/U/V/W/X/Y/Z/bracketleft/backslash/bracketright/circumflex
/underscore/quoteleft/a/b/c/d/e/f/g/h/i/j/k/l/m/n/o/p/q/r/s/t/u/v/w/x/y
/z/braceleft/bar/braceright/tilde/.notdef/quotesinglbase/guillemotleft
/guillemotright/bullet/florin/fraction/perthousand/dagger/daggerdbl
/endash/emdash/ff/fi/fl/ffi/ffl/dotlessi/dotlessj/grave/hungarumlaut
/dotaccent/breve/caron/ring/ogonek/quotedblleft/quotedblright/oe/lslash
/quotedblbase/OE/Lslash/.notdef/exclamdown/cent/sterling/currency/yen
/brokenbar/section/dieresis/copyright/ordfeminine/guilsinglleft
/logicalnot/minus/registered/macron/degree/plusminus/twosuperior
/threesuperior/acute/mu/paragraph/periodcentered/cedilla/onesuperior
/ordmasculine/guilsinglright/onequarter/onehalf/threequarters
/questiondown/Agrave/Aacute/Acircumflex/Atilde/Adieresis/Aring/AE
/Ccedilla/Egrave/Eacute/Ecircumflex/Edieresis/Igrave/Iacute/Icircumflex
/Idieresis/Eth/Ntilde/Ograve/Oacute/Ocircumflex/Otilde/Odieresis
/multiply/Oslash/Ugrave/Uacute/Ucircumflex/Udieresis/Yacute/Thorn
/germandbls/agrave/aacute/acircumflex/atilde/adieresis/aring/ae/ccedilla
/egrave/eacute/ecircumflex/edieresis/igrave/iacute/icircumflex/idieresis
/eth/ntilde/ograve/oacute/ocircumflex/otilde/odieresis/divide/oslash
/ugrave/uacute/ucircumflex/udieresis/yacute/thorn/ydieresis]def
/Times-Italic@0 ENC0/Times-Italic RE/Times-Bold@0 ENC0/Times-Bold RE
/Times-Roman@0 ENC0/Times-Roman RE
BP
/F0 10/Times-Roman@0 SF<4442>72 48 Q -.4<4143>-.35 G 375.9
<4c283129204442>.4 F -.4<4143>-.35 G<4c283129>.4 E/F1 10.95/Times-Bold@0
SF -.219<4e41>72 84 S<4d45>.219 E F0<646261636c20ad20612064696772616d69
6320426179657369616e20636c617373698c657220666f72207465>108 96 Q
<7874207265636f676e6974696f6e2e>-.15 E F1<53594e4f50534953>72 112.8 Q/F2
10/Times-Bold@0 SF<646261636c>108 124.8 Q F0 .152
<5b2d3064766e69726d4d4e445d205b2d54>2.652 F/F3 10/Times-Italic@0 SF
<74797065>2.652 E F0 2.652<5d2d>2.652 G<6c>-2.652 E F3<63617465>2.852 E
<676f7279>-.4 E F0<5b2d68>2.972 E F3<73697a65>2.652 E F0 2.652<5d5b>.18
G<2d48>-2.652 E F3<6773697a65>2.652 E F0 2.652<5d5b>.18 G<2d78>-2.652 E
F3<646563696d>2.652 E F0 2.652<5d5b>.32 G<2d71>-2.652 E F3
<7175616c697479>2.651 E F0 2.651<5d5b>.32 G<2d77>-2.651 E F3
<6d61785f6f72>2.651 E<646572>-.37 E F0 2.651<5d5b>.73 G<2d65>-2.651 E F3
<646566746f6b>144 136.8 Q F0 2.5<5d5b>.67 G<2d6f>-2.5 E F3<6f6e6c696e65>
2.5 E F0 2.5<5d5b>.18 G<2d4c>-2.5 E F3<6d6561737572>2.5 E<65>-.37 E F0
2.5<5d5b>.18 G<2d67>-2.5 E F3 -.37<7265>2.5 G -.1<6765>-.03 G<78>-.1 E
F0 2.5<5d2e2e2e205b46494c455d2e2e2e>.53 F F2<646261636c>108 153.6 Q F0
<5b2d766e696d4e52585d205b2d68>2.5 E F3<73697a65>2.5 E F0 2.5<5d5b>.18 G
<2d54>-2.5 E F3<747970655d>2.5 E F0<2d63>2.5 E F3<63617465>2.7 E
<676f7279>-.4 E F0<5b2d63>2.82 E F3<63617465>2.5 E<676f7279>-.4 E F0 2.5
<5d2e2e2e205b2d66>.32 F F3 -.1<6b65>2.5 G<6570>.1 E F0 2.5
<5d2e2e2e205b46494c455d2e2e2e>.19 F F2<646261636c>108 170.4 Q F0<2d56>
2.5 E F1<4445534352495054494f4e>72 187.2 Q F2<646261636c>108 199.2 Q F0
.888<6973206120426179657369616e207465>3.388 F .888
<787420646f63756d656e7420636c617373698c6572>-.15 F 3.389<2c77>-.4 G .889
<6869636820757365732061206d6178696d756d20656e74726f70>-3.389 F 3.389
<7928>-.1 G .889<6d696e696d756d206469>-3.389 F -.15<7665>-.25 G -.18
<7267>.15 G .889<656e636529206c616e2d>.18 F .296<6775616765206d6f64656c
20636f6e73747275637465642077697468207265737065637420746f2061206469677261
6d6963207265666572656e6365206d6561737572652028756e6b6e6f>108 211.2 R
.295<776e2077>-.25 F .295
<6f72647320617265207072656469637465642066726f6d>-.1 F
<64696772616d732c20692e652e207061697273206f66206c657474657273292e>108
223.2 Q .33<4966207573696e6720746865>108 240 R F2<2d6c>2.83 E F0 .33
<636f6d6d616e6420666f726d2c>2.83 F F2<646261636c>2.83 E F0 .33
<6c6561726e7320612063617465>2.83 F .331<676f7279207768656e206769>-.15 F
-.15<7665>-.25 G 2.831<6e6f>.15 G .331
<6e65206f72206d6f72652046494c45206e616d65732c2077686963682073686f756c64>
-2.831 F .044<636f6e7461696e207265616461626c65>108 252 R/F4 9
/Times-Roman@0 SF<4153434949>2.544 E F0<7465>2.294 E .043
<78742e204966206e6f2046494c45206973206769>-.15 F -.15<7665>-.25 G<6e2c>
.15 E F2<646261636c>2.543 E F0 .043
<6c6561726e732066726f6d20535444494e2e2054686520726573756c74206973207361>
2.543 F -.15<7665>-.2 G 2.543<6469>.15 G 2.543<6e74>-2.543 G .043
<68652062696e617279>-2.543 F<8c6c65206e616d6564>108 264 Q F3<63617465>
2.5 E<676f7279>-.4 E F0<2e>.32 E .664<4966207573696e6720746865>108 280.8
R F2<2d63>3.164 E F0 .664<636f6d6d616e6420666f726d2c>3.164 F F2
<646261636c>3.164 E F0 .664
<617474656d70747320746f20636c61737369667920746865207465>3.164 F .665<78
7420666f756e6420696e2046494c452c206f7220535444494e206966206e6f2046494c45
206973>-.15 F<6769>108 292.8 Q -.15<7665>-.25 G .166
<6e2e204561636820706f737369626c65>.15 F F3<63617465>2.866 E<676f7279>-.4
E F0 .166<6d757374206265206769>2.986 F -.15<7665>-.25 G 2.666<6e73>.15 G
<657061726174656c79>-2.666 E 2.666<2c61>-.65 G .166
<6e642073686f756c6420626520746865208c6c65206e616d65206f66206120707265>
-2.666 F .165<76696f75736c79206c6561726e6564>-.25 F<7465>108 304.8 Q .77
<787420636f727075732e205768656e207365>-.15 F -.15<7665>-.25 G .77
<72616c20286d6f7265207468616e206f6e65292063617465>.15 F .771
<676f72696573206172652073706563698c65642c20746865207465>-.15 F .771
<787420636c617373698c636174696f6e20697320706572666f726d6564206279>-.15 F
.197<636f6d707574696e672074686520426179657369616e20706f73746572696f7220
70726f626162696c69747920666f722065616368206d6f64656c2c206769>108 316.8 R
-.15<7665>-.25 G 2.697<6e74>.15 G .197<686520696e707574207465>-2.697 F
.197<78742c20616e642077697468206120756e69666f726d207072696f72>-.15 F
<64697374726962>108 328.8 Q<7574696f6e206f6e2063617465>-.2 E
<676f726965732e>-.15 E .237
<5768656e206f6e6c7920612073696e676c652063617465>108 345.6 R .237
<676f72792069732073706563698c65642c>-.15 F F2<646261636c>2.737 E F0 .237
<63616c63756c6174657320612073636f7265207768696368206973207468652070726f
64756374206f66207468652063726f737320656e74726f70>2.737 F<79>-.1 E .701
<616e642074686520636f6d706c65>108 357.6 R .701
<78697479206f662074686520696e707574207465>-.15 F .701
<787420286e6565647320746865>-.15 F F2<2d6e>3.201 E F0<616e64>3.201 E F2
<2d76>3.2 E F0 .7<6f7074696f6e73292e2041206c6f>3.2 F 3.2<7773>-.25 G .7
<636f72652028636c6f736520746f207a65726f2920696e646963617465732061>-3.2 F
.496<676f6f64208c74206f6620746865>108 369.6 R F3<63617465>3.197 E
<676f7279>-.4 E F0 .497<6d6f64656c2e205468652063726f737320656e74726f70>
3.317 F 2.997<796d>-.1 G .497<65617375726573207468652061>-2.997 F -.15
<7665>-.2 G .497<7261676520636f6d7072657373696f6e2072617465207768696368
206973206163686965>.15 F<762d>-.25 E
<61626c652c20756e64657220746865206769>108 381.6 Q -.15<7665>-.25 G<6e>
.15 E F3<63617465>2.5 E<676f7279>-.4 E F0 2.5<2c66>.32 G
<6f7220746865206665617475726573206f662074686520696e707574207465>-2.5 E
<78742e>-.15 E<546865>108 398.4 Q F2<2d58>3.025 E F0 .525<73776974636820
63616e2062652075736564207768656e20636c617373696679696e672c20746f206f7570
7574206120636f6e8c64656e6365206c65>3.025 F -.15<7665>-.25 G 3.025<6c69>
.15 G 3.025<6e74>-3.025 G .524
<686520636f6d70757465642073636f7265732e20546869732069732061>-3.025 F
.463<70657263656e7461676520776869636820657374696d6174657320686f>108
410.4 R 2.963<776c>-.25 G<696b>-2.963 E .464<656c79207468652073636f7265
2069732c207768656e20617373756d696e67207468617420746865206769>-.1 F -.15
<7665>-.25 G 2.964<6e63>.15 G<617465>-2.964 E .464
<676f727920697320636f72726563742e2054686973>-.15 F .228<6973206e6f742061
207375627374697475746520666f72207468652061637475616c2073636f72652c20616e
642073686f756c64206e6f742062652075736564206f6e20697473206f>108 422.4 R
.228<776e20746f206465636964652074686520626573742063617465>-.25 F
<676f7279>-.15 E 2.728<2e416c>-.65 G -.25<6f77>-2.728 G .305<636f6e8c64
656e63652028652e672e20313025206f72206c657373292063616e20626520696e746572
70726574656420617320616e2022756e7375726522208d61672e204e6f7420616c6c2063
617465>108 434.4 R .306
<676f7279206d6f64656c7320737570706f727420636f6e8c2d>-.15 F
<64656e63652073636f7265732c2062>108 446.4 Q
<75742022656d61696c222063617465>-.2 E<676f7269657320646f2e>-.15 E .571
<427920646566>108 463.2 R<61756c742c>-.1 E F2<646261636c>3.071 E F0 .571
<77696c6c20636c6173736966792074686520696e707574207465>3.071 F .571
<787420617320612077686f6c652e20486f>-.15 F<7765>-.25 E -.15<7665>-.25 G
1.37 -.4<722c2077>.15 H .57<68656e207573696e6720746865>.4 F F2<2d66>3.07
E F0<6f7074696f6e2c>3.07 E F2<646261636c>3.07 E F0 .57<63616e206265>3.07
F .681<7573656420746f208c6c746572206561636820696e707574206c696e65207365
7061726174656c79>108 475.2 R 3.181<2c70>-.65 G .681<72696e74696e67206f6e
6c792074686f7365206c696e6573207768696368206d61746368206f6e65206f72206d6f
7265206d6f64656c73206964656e74692d>-3.181 F<8c6564206279>108 487.2 Q F3
-.1<6b65>2.5 G<6570>.1 E F0<2e>.19 E .343<4c6561726e696e6720616e6420636c
617373696679696e672063616e6e6f74206265206d6978>108 504 R .343
<6564206f6e207468652073616d6520636f6d6d616e6420696e>-.15 F -.2<766f>-.4
G 2.843<636174696f6e2e204279>.2 F<646566>2.843 E .343
<61756c742c20696e207465>-.1 F .343<7874206d6f64652028>-.15 F F2<2d54>
2.842 E F0<7465>108 516 Q .371<787429206e6f6e2d616c70686162657469632063
68617261637465727320696e2074686520696e7075742061726520616c>-.15 F -.1
<7761>-.1 G .372<79732069676e6f7265642c2061732069732077>.1 F .372
<6f726420636173652c20756e6c657373206f6e65206f72206d6f7265207265>-.1 F
<67756c6172>-.15 E -.15<6578>108 528 S 1.385<7072657373696f6e7320617265
20737570706c6965642e20496e20656d61696c206d6f64652028>.15 F F2<2d54>3.885
E F0 1.385<656d61696c292074686520646566>3.885 F 1.384<61756c7420746f6b>
-.1 F 1.384
<656e7320617265206d6f726520636f6d706c696361746564202863757272656e746c79>
-.1 F<22616470222c20736565>108 540 Q F2<2d65>2.5 E F0<6f7074696f6e292e>
2.5 E .219<496620746865>108 556.8 R F2<2d77>2.719 E F0 .219
<6f7074696f6e206973206769>2.719 F -.15<7665>-.25 G .219
<6e2c2074686520646566>.15 F .22<61756c7420666561747572657320636f6e736973
74206f6620616c6c206e2d6772616d7320757020746f>-.1 F F3<6d61785f6f72>2.72
E<646572>-.37 E F0 2.72<2c77>.73 G .22
<686572652065616368208c727374206f72646572>-2.72 F .171
<636f6d706f6e656e7420697320746f6b>108 568.8 R .171
<656e697a6564206163636f7264696e6720746f20746865206170706c696361626c65>
-.1 F F2<2d65>2.671 E F0 .171<6f7074696f6e2e2059>2.671 F .171
<6f752063616e20616c>-1.1 F -.1<7761>-.1 G .17
<79732076697375616c697a652074686520746f6b>.1 F .17
<656e73206279207573696e67>-.1 F<746865>108 580.8 Q F2<2d44>3.522 E F0
1.022<6f7074696f6e207768696c65206c6561726e696e672e204966>3.522 F F2
<2d77>3.522 E F0 1.022<6973206e6f74206769>3.522 F -.15<7665>-.25 G<6e2c>
.15 E F2<646261636c>3.522 E F0<617373756d6573>3.522 E F3<6d61785f6f72>
3.903 E<646572>-.37 E F0 1.023<657175616c7320312e2054686520646566>4.253
F 1.023<61756c742066656174757265>-.1 F
<73656c656374696f6e20697320636f6d706c6574656c79206f>108 592.8 Q -.15
<7665>-.15 G<72726964656e20686f>.15 E<7765>-.25 E -.15<7665>-.25 G 2.5
<7269>.15 G 2.5<6674>-2.5 G<6865>-2.5 E F2<2d67>2.5 E F0
<73776974636820697320656e636f756e74657265642e>2.5 E .248
<5768656e20737570706c79696e67206f6e65206f72206d6f7265207265>108 609.6 R
.247<67756c61722065>-.15 F .247<787072657373696f6e73207769746820746865>
-.15 F F2<2d67>2.747 E F0 .247<6f7074696f6e2c206f6e6c792074686f73652066
65617475726573206f662074686520696e707574207465>2.747 F .247<7874206f72>
-.15 F<7465>108 621.6 Q .607<787473207768696368206d61746368>-.15 F F3
-.37<7265>3.108 G -.1<6765>-.03 G<78>-.1 E F0 .608
<61726520616e616c7973656420287769746820706f737369626c65206f>3.638 F -.15
<7665>-.15 G .608<726c6170206265747765656e206d617463686573292c20616e6420
6f6e6c792074686f73652073756265>.15 F<78707265732d>-.15 E 1.218
<73696f6e73206f66>108 633.6 R F3 -.37<7265>3.717 G -.1<6765>-.03 G<78>
-.1 E F0 1.217<7768696368206172652065>4.247 F 1.217<78706c696369746c7920
746167676564207769746820706172656e74686573657320617265207573656420617320
666561747572657320696e20746865206d6f64656c20286966207365>-.15 F -.15
<7665>-.25 G<72616c>.15 E<73756265>108 645.6 Q 1.033<787072657373696f6e
7320617265207461676765642073696d756c74616e656f75736c79>-.15 F 3.533
<2c74>-.65 G 1.033<686520726573756c74696e672066656174757265206973207468
6520636f6e636174656e6174656420737472696e67206f66207468657365207461676765
64>-3.533 F -.15<6578>108 657.6 S<7072657373696f6e7320696e206f7264657220
6f662074616720617070656172616e6365292e>.15 E -.15<466f>108 674.4 S 8.078
<7272>.15 G -.15<6567>-8.078 G 5.578<756c61722065>.15 F 5.578
<7872657373696f6e2073796e7461782c20736565>-.15 F F2 -.18<7265>8.078 G
<676578>.18 E F0<2837292e>A F2 -.25<466f>C<72>.25 E F0<62657374>A F2
-.18<7265>C<73756c74732c>.18 E F0 -.1<6b65>C<6570>.1 E F2<746865>A F0
<6e756d626572>A F2<6f66>A F0<636f6e636174656e61746564>A F2<65787072>A
<657373696f6e2d>-.18 E<73>108 686.4 Q F0<7374726963746c79>A F2<62656c6f>
A<77>-.1 E F0 2.725<382e205768656e>B .225
<6c6561726e696e672077697468207265>2.725 F .226<67756c61722065>-.15 F
.226<787072657373696f6e732c20746865>-.15 F F2<2d44>2.726 E F0 .226
<6f7074696f6e2077696c6c207072696e7420616c6c206d617463686564207465>2.726
F .226<78742066656174757265732c>-.15 F<77686963682069732076>108 698.4 Q
<6572792075736566756c20746f20736565207768617420697320676f696e67206f6e2e>
-.15 E 1.367<5768656e207361>108 715.2 R 1.367<76696e672063617465>-.2 F
1.367<676f7279208c6c65732c>-.15 F F2<646261636c>3.867 E F0 1.366<8c7273
7420777269746573206f757420612074656d706f72617279208c6c6520696e2074686520
73616d65206c6f636174696f6e2c20616e642072656e616d6573206974>3.867 F
<616674657277>108 727.2 Q .859<617264732e20496620612070726f626c656d206f
72206372617368206f636375727320647572696e67206c6561726e696e672c2074686520
6f6c642063617465>-.1 F .86<676f7279208c6c65206973207468657265666f726520
6c65667420756e746f75636865642e>-.15 F -1.11<5665>72 768 S
<7273696f6e20312e382e31>1.11 E<426179657369616e2054>111.915 E -.15<6578>
-.7 G 2.5<7443>.15 G<6c617373698c636174696f6e2054>-2.5 E 157.465
<6f6f6c732031>-.8 F 0 Cg EP
end
%%Trailer
cleartomark
countdictstack
exch sub { end } repeat
restore
%%EOF

%%EndDocument
 @endspecial eop end
%%Page: 25 25
TeXDict begin 25 24 bop 1428 251 a Fn(THE)30 b(DBA)n(CL)g(TEXT)f
(CLASSIFIER)906 b(25)456 5216 y @beginspecial 72 @llx
72 @lly 540 @urx 802 @ury 5818 @rhi @setspecial
%%BeginDocument: dbaclman1_8_1_page2.eps
%!PS-Adobe-3.0 EPSF-3.0
%%BoundingBox: 72 72 540 802
% EPSF created by ps2eps 1.28
%%Creator: groff version 1.18.1
%%CreationDate: Thu Jul 29 16:14:12 2004
%%DocumentNeededResources: font Times-Roman
%%+ font Times-Bold
%%+ font Times-Italic
%%DocumentSuppliedResources: procset grops 1.18 1
%%PageOrder: Ascend
%%Orientation: Portrait
%%EndComments
%%BeginProlog
save
countdictstack
mark
newpath
/showpage {} def
%%EndProlog
%%Page 1 1
/setpacking where{
pop
currentpacking
true setpacking
}if
/grops 120 dict dup begin
/SC 32 def
/A/show load def
/B{0 SC 3 -1 roll widthshow}bind def
/C{0 exch ashow}bind def
/D{0 exch 0 SC 5 2 roll awidthshow}bind def
/E{0 rmoveto show}bind def
/F{0 rmoveto 0 SC 3 -1 roll widthshow}bind def
/G{0 rmoveto 0 exch ashow}bind def
/H{0 rmoveto 0 exch 0 SC 5 2 roll awidthshow}bind def
/I{0 exch rmoveto show}bind def
/J{0 exch rmoveto 0 SC 3 -1 roll widthshow}bind def
/K{0 exch rmoveto 0 exch ashow}bind def
/L{0 exch rmoveto 0 exch 0 SC 5 2 roll awidthshow}bind def
/M{rmoveto show}bind def
/N{rmoveto 0 SC 3 -1 roll widthshow}bind def
/O{rmoveto 0 exch ashow}bind def
/P{rmoveto 0 exch 0 SC 5 2 roll awidthshow}bind def
/Q{moveto show}bind def
/R{moveto 0 SC 3 -1 roll widthshow}bind def
/S{moveto 0 exch ashow}bind def
/T{moveto 0 exch 0 SC 5 2 roll awidthshow}bind def
/SF{
findfont exch
[exch dup 0 exch 0 exch neg 0 0]makefont
dup setfont
[exch/setfont cvx]cvx bind def
}bind def
/MF{
findfont
[5 2 roll
0 3 1 roll
neg 0 0]makefont
dup setfont
[exch/setfont cvx]cvx bind def
}bind def
/level0 0 def
/RES 0 def
/PL 0 def
/LS 0 def
/MANUAL{
statusdict begin/manualfeed true store end
}bind def
/PLG{
gsave newpath clippath pathbbox grestore
exch pop add exch pop
}bind def
/BP{
/level0 save def
1 setlinecap
1 setlinejoin
72 RES div dup scale
LS{
90 rotate
}{
0 PL translate
}ifelse
1 -1 scale
}bind def
/EP{
level0 restore
showpage
}bind def
/DA{
newpath arcn stroke
}bind def
/SN{
transform
.25 sub exch .25 sub exch
round .25 add exch round .25 add exch
itransform
}bind def
/DL{
SN
moveto
SN
lineto stroke
}bind def
/DC{
newpath 0 360 arc closepath
}bind def
/TM matrix def
/DE{
TM currentmatrix pop
translate scale newpath 0 0 .5 0 360 arc closepath
TM setmatrix
}bind def
/RC/rcurveto load def
/RL/rlineto load def
/ST/stroke load def
/MT/moveto load def
/CL/closepath load def
/Fr{
setrgbcolor fill
}bind def
/Fk{
setcmykcolor fill
}bind def
/Fg{
setgray fill
}bind def
/FL/fill load def
/LW/setlinewidth load def
/Cr/setrgbcolor load def
/Ck/setcmykcolor load def
/Cg/setgray load def
/RE{
findfont
dup maxlength 1 index/FontName known not{1 add}if dict begin
{
1 index/FID ne{def}{pop pop}ifelse
}forall
/Encoding exch def
dup/FontName exch def
currentdict end definefont pop
}bind def
/DEFS 0 def
/EBEGIN{
moveto
DEFS begin
}bind def
/EEND/end load def
/CNT 0 def
/level1 0 def
/PBEGIN{
/level1 save def
translate
div 3 1 roll div exch scale
neg exch neg exch translate
0 setgray
0 setlinecap
1 setlinewidth
0 setlinejoin
10 setmiterlimit
[]0 setdash
/setstrokeadjust where{
pop
false setstrokeadjust
}if
/setoverprint where{
pop
false setoverprint
}if
newpath
/CNT countdictstack def
userdict begin
/showpage{}def
}bind def
/PEND{
clear
countdictstack CNT sub{end}repeat
level1 restore
}bind def
end def
/setpacking where{
pop
setpacking
}if
grops begin/DEFS 1 dict def DEFS begin/u{.001 mul}bind def end/RES 72
def/PL 841.89 def/LS false def/ENC0[/asciicircum/asciitilde/Scaron
/Zcaron/scaron/zcaron/Ydieresis/trademark/quotesingle/Euro/.notdef
/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef
/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef
/.notdef/.notdef/.notdef/space/exclam/quotedbl/numbersign/dollar/percent
/ampersand/quoteright/parenleft/parenright/asterisk/plus/comma/hyphen
/period/slash/zero/one/two/three/four/five/six/seven/eight/nine/colon
/semicolon/less/equal/greater/question/at/A/B/C/D/E/F/G/H/I/J/K/L/M/N/O
/P/Q/R/S/T/U/V/W/X/Y/Z/bracketleft/backslash/bracketright/circumflex
/underscore/quoteleft/a/b/c/d/e/f/g/h/i/j/k/l/m/n/o/p/q/r/s/t/u/v/w/x/y
/z/braceleft/bar/braceright/tilde/.notdef/quotesinglbase/guillemotleft
/guillemotright/bullet/florin/fraction/perthousand/dagger/daggerdbl
/endash/emdash/ff/fi/fl/ffi/ffl/dotlessi/dotlessj/grave/hungarumlaut
/dotaccent/breve/caron/ring/ogonek/quotedblleft/quotedblright/oe/lslash
/quotedblbase/OE/Lslash/.notdef/exclamdown/cent/sterling/currency/yen
/brokenbar/section/dieresis/copyright/ordfeminine/guilsinglleft
/logicalnot/minus/registered/macron/degree/plusminus/twosuperior
/threesuperior/acute/mu/paragraph/periodcentered/cedilla/onesuperior
/ordmasculine/guilsinglright/onequarter/onehalf/threequarters
/questiondown/Agrave/Aacute/Acircumflex/Atilde/Adieresis/Aring/AE
/Ccedilla/Egrave/Eacute/Ecircumflex/Edieresis/Igrave/Iacute/Icircumflex
/Idieresis/Eth/Ntilde/Ograve/Oacute/Ocircumflex/Otilde/Odieresis
/multiply/Oslash/Ugrave/Uacute/Ucircumflex/Udieresis/Yacute/Thorn
/germandbls/agrave/aacute/acircumflex/atilde/adieresis/aring/ae/ccedilla
/egrave/eacute/ecircumflex/edieresis/igrave/iacute/icircumflex/idieresis
/eth/ntilde/ograve/oacute/ocircumflex/otilde/odieresis/divide/oslash
/ugrave/uacute/ucircumflex/udieresis/yacute/thorn/ydieresis]def
/Times-Italic@0 ENC0/Times-Italic RE/Times-Bold@0 ENC0/Times-Bold RE
/Times-Roman@0 ENC0/Times-Roman RE
BP
/F0 10/Times-Roman@0 SF<4442>72 48 Q -.4<4143>-.35 G 375.9
<4c283129204442>.4 F -.4<4143>-.35 G<4c283129>.4 E .869
<5468697320656e737572657320746861742063617465>108 84 R .869
<676f726965732063616e206e65>-.15 F -.15<7665>-.25 G 3.369<7262>.15 G
3.369<6563>-3.369 G .869<6f727275707465642c206e6f206d617474657220686f>
-3.369 F 3.368<776d>-.25 G<616e>-3.368 E 3.368<7970>-.15 G .868
<726f6365737365732074727920746f2073696d756c74616e656f75736c79>-3.368 F
.59<6c6561726e206f7220636c617373696679>108 96 R 3.09<2c61>-.65 G .59
<6e64206d65616e7320746861742076>-3.09 F .59<616c69642063617465>-.25 F
.59<676f72696573206172652061>-.15 F -.25<7661>-.2 G .59
<696c61626c6520666f7220636c617373698c636174696f6e20617420616e>.25 F 3.09
<7974>-.15 G .59<696d652e2043617465>-3.09 F .59<676f7279208c6c6573>-.15
F<61726520637265617465642077697468207573657220616e642067726f757020726561
64207065726d697373696f6e73206f6e6c79>108 108 Q<2e>-.65 E .439
<4c6561726e696e6720726f7567686c792077>108 124.8 R .439<6f726b7320627920
747765616b696e672070726f626162696c697469657320756e74696c2074686520747261
696e696e672064617461206973206c656173742073757270726973696e672e2054686520
616d6f756e74206f66>-.1 F .714
<747765616b696e672063616e2062652073656c656374656420627920746865>108
136.8 R/F1 10/Times-Bold@0 SF<2d71>3.214 E F0 .715<6f7074696f6e2e204d6f
726520747765616b696e67206d65616e73206c6f6e676572206c6561726e696e6720616e
64206265747465722061636375726163>3.214 F 2.015 -.65<792c2062>-.15 H
<7574>.45 E<757375616c6c79207468652066>108 148.8 Q
<6173746573742073657474696e6720697320636c6f736520656e6f7567682e>-.1 E
.009<5768656e2072656c6561726e696e67207468652073616d652063617465>108
165.6 R .009<676f7279207365>-.15 F -.15<7665>-.25 G .009
<72616c2074696d65732c2074686520707265>.15 F .008<76696f75736c79206c6561
726e65642070726f626162696c6974696573206172652072657573656420696620706f73
7369626c652c>-.25 F<77686963682063616e20737065656420757020747765616b696e
67206472616d61746963616c6c792028796f752063616e2075736520746865>108 177.6
Q F1<2d30>2.5 E F0<6f7074696f6e20746f20666f7263652072656c6561726e696e67
2066726f6d2073637261746368292e>2.5 E .592
<4e6f7465207468617420636c617373698c636174696f6e2061636375726163>108
194.4 R 3.092<7964>-.15 G .592<6570656e647320666f72656d6f7374206f6e2074
686520616d6f756e7420616e64207175616c697479206f662074686520747261696e696e
672073616d706c65732c20616e64>-3.092 F
<7468656e206f6e6c79206f6e20616d6f756e74206f6620747765616b696e672e>108
206.4 Q/F2 10.95/Times-Bold@0 SF<45584954205354>72 223.2 Q -1.04<4154>
-.986 G<5553>1.04 E F0 1.125<5768656e207573696e6720746865>108 235.2 R F1
<2d6c>3.625 E F0 1.125<636f6d6d616e6420666f726d2c>3.625 F F1<646261636c>
3.625 E F0 1.125
<72657475726e73207a65726f2e205768656e207573696e6720746865>3.625 F F1
<2d63>3.625 E F0<666f726d2c>3.624 E F1<646261636c>3.624 E F0 1.124
<72657475726e73206120706f73697469>3.624 F -.15<7665>-.25 G<696e7465>108
247.2 Q .667<67657220636f72726573706f6e64696e6720746f20746865>-.15 F/F3
10/Times-Italic@0 SF<63617465>3.367 E<676f7279>-.4 E F0 .667<7769746820
746865206869676865737420706f73746572696f722070726f626162696c697479>3.487
F 3.167<2e49>-.65 G 3.167<6e63>-3.167 G .667
<617365206f662061207469652c20746865208c727374206d6f7374>-3.167 F
<70726f6261626c652063617465>108 259.2 Q
<676f72792069732063686f73656e2e20496620616e206572726f72206f63637572732c>
-.15 E F1<646261636c>2.5 E F0<72657475726e73207a65726f2e>2.5 E F2
<4f5054494f4e53>72 276 Q F0 25.17<2d30205768656e>108 288 R 1.278
<6c6561726e696e672c20707265>3.778 F -.15<7665>-.25 G 1.278
<6e747320776569676874207072656c6f6164696e672e204e6f726d616c6c79>.15 F
<2c>-.65 E F1<646261636c>3.778 E F0 1.277
<636865636b73206966207468652063617465>3.777 F 1.277
<676f7279208c6c6520616c7265616479>-.15 F -.15<6578>144 300 S .027
<697374732c20616e6420696620736f2c20747269657320746f20757365207468652065>
.15 F .028<78697374696e6720776569676874732061732061207374617274696e6720
706f696e742e20546869732063616e206472616d61746963616c6c792073706565642075
70>-.15 F 3.664<6c6561726e696e672e204966>144 312 R<746865>3.664 E F1
<2d30>3.664 E F0 1.164
<287a65726f2920737769746368206973207365742c207468656e>3.664 F F1
<646261636c>3.664 E F0<62656861>3.663 E -.15<7665>-.2 G 3.663<7361>.15 G
3.663<7369>-3.663 G 3.663<666e>-3.663 G 3.663<6f63>-3.663 G<617465>
-3.663 E 1.163<676f7279208c6c6520616c72656164792065>-.15 F<78697374732e>
-.15 E
<54686973206973206d61696e6c792075736566756c20666f722074657374696e672e>
144 324 Q 25.73<2d6120417070656e64>108 340.8 R .284
<73636f7265732e204576>2.784 F .284<65727920696e707574206c696e6520697320
7772697474656e20746f205354444f555420616e642074686520646261636c2073636f72
65732061726520617070656e6465642e2054686973206973>-.15 F 1.712
<75736566756c20666f7220706f737470726f63657373696e672077697468>144 352.8
R F1<626179>4.212 E<65736f6c>-.1 E F0 4.212<2831292e2046>B 1.712
<6f722065617365206f662070726f63657373696e672c2065>-.15 F -.15<7665>-.25
G 1.711<7279206f726967696e616c20696e707574206c696e65206973>.15 F .847<69
6e64656e74656420627920612073696e676c652073706163652028746f2064697374696e
6775697368207468656d2066726f6d2074686520617070656e6465642073636f72657329
2c20616e6420746865206c696e65207769746820746865>144 364.8 R .45
<73636f72657320286966>144 376.8 R F1<2d6e>2.95 E F0 .45
<6973207573656429206973207072658c78>2.95 F .449<656420776974682074686520
737472696e67202273636f72657320222e2049662061207365636f6e6420636f70>-.15
F 2.949<796f>-.1 G<66>-2.949 E F1<646261636c>2.949 E F0 .449
<6e6565647320746f2072656164>2.949 F<74686973206f7574707574206c61746572>
144 388.8 Q 2.5<2c69>-.4 G 2.5<7473>-2.5 G<686f756c6420626520696e>-2.5 E
-.2<766f>-.4 G -.1<6b65>.2 G 2.5<6477>.1 G<69746820746865>-2.5 E F1
<2d41>2.5 E F0<7377697463682e>2.5 E 25.17<2d642044756d70>108 405.6 R
2.23<746865206d6f64656c20706172616d657465727320746f205354444f5554>4.73 F
4.73<2e49>-.74 G 4.73<6e63>-4.73 G 2.23
<6f6e6a756e6374696f6e207769746820746865>-4.73 F F1<2d6c>4.73 E F0 2.23
<6f7074696f6e2c20746869732070726f64756365732061>4.73 F .494<68756d616e2d
7265616461626c652073756d6d617279206f6620746865206d6178696d756d20656e7472
6f70>144 417.6 R 2.994<796d>-.1 G .494
<6f64656c2e20496e20636f6e6a756e6374696f6e207769746820746865>-2.994 F F1
<2d63>2.994 E F0 .493<6f7074696f6e2c206469732d>2.993 F
<706c6179732074686520636f6e74726962>144 429.6 Q
<7574696f6e206f66206561636820746f6b>-.2 E<656e20746f20746865208c6e616c20
73636f72652e205375707072657373657320616c6c206f74686572206e6f726d616c206f
75747075742e>-.1 E 25.73<2d652053656c656374>108 446.4 R .29
<63686172616374657220636c61737320666f7220646566>2.79 F .29
<61756c7420286e6f6e207265>-.1 F<6765>-.15 E .29
<782d62617365642920746f6b>-.15 F .29<656e697a6174696f6e2e20427920646566>
-.1 F .29<61756c742c20746f6b>-.1 F .29
<656e732061726520616c7068616265746963>-.1 F .988
<737472696e6773206f6e6c79>144 458.4 R 3.488<2e54>-.65 G .988
<68697320636f72726573706f6e647320746f207468652063617365207768656e>-3.488
F F3<646566746f6b>3.837 E F0 .987
<69732022616c706861222e20506f737369626c652076>4.157 F .987
<616c75657320666f72>-.25 F F3<646566746f6b>3.837 E F0<617265>4.157 E
.173<22616c706861222c2022616c6e756d222c20226772617068222c20226365662220
616e642022616470222e>144 470.4 R .173<546865206c617374207477>5.173 F
2.673<6f61>-.1 G .173<726520637573746f6d20746f6b>-2.673 F .173
<656e697a65727320696e74656e64656420666f7220656d61696c>-.1 F
<6d657373616765732e2053656520616c736f>144 482.4 Q F1<6973616c706861>2.5
E F0<2833292e>A 26.84<2d662046696c746572>108 499.2 R .292
<65616368206c696e65206f6620696e7075742073657061726174656c79>2.792 F
2.791<2c6b>-.65 G .291<656570696e6720746865>-2.891 F F3<63617465>2.991 E
<676f7279>-.4 E F0 .291<6964656e74698c6564206173>3.111 F F3 -.1<6b65>
2.791 G<6570>.1 E F0 5.291<2e54>.19 G .291
<686973206f7074696f6e2073686f756c64206265>-5.291 F .419
<757365642072657065617465646c7920666f722065616368>144 511.2 R F3
<63617465>3.119 E<676f7279>-.4 E F0 .419<7768696368206d757374206265206b>
3.239 F<6570742e>-.1 E F3 -.1<6b65>5.419 G<6570>.1 E F0 .42
<63616e2062652065697468657220746865>3.109 F F3<63617465>3.12 E<676f7279>
-.4 E F0 .42<8c6c65206e616d652c>3.24 F .859<6f72206120706f73697469>144
523.2 R 1.159 -.15<76652069>-.25 H<6e7465>.15 E .859
<67657220726570726573656e74696e6720746865207265717569726564>-.15 F F3
<63617465>3.559 E<676f7279>-.4 E F0 .859<696e207468652073616d65206f7264
65722069742061707065617273206f6e2074686520636f6d2d>3.679 F
<6d616e64206c696e652e>144 535.2 Q .589<4f7574707574206c696e657320617265
208d757368656420617320736f6f6e20617320746865>144 552 R 3.089<7961>-.15 G
.59<7265207772697474656e2e2049662074686520696e707574208c6c65206973206120
70697065206f7220636861726163746572206465>-3.089 F<766963652c>-.25 E .225
<7468656e20616e20617474656d7074206973206d61646520746f20757365206c696e65
2062>144 564 R<7566>-.2 E .225
<666572696e67206d6f64652c206f746865727769736520746865206d6f7265206566>
-.25 F .225<8c6369656e7420626c6f636b2062>-.25 F<7566>-.2 E .225
<666572696e67206973>-.25 F<757365642e>144 576 Q 25.17<2d67204c6561726e>
108 592.8 R .171
<6f6e6c7920666561747572657320646573637269626564206279207468652065>2.67 F
.171<7874656e646564207265>-.15 F .171<67756c61722065>-.15 F
<787072657373696f6e>-.15 E F3 -.37<7265>2.671 G -.1<6765>-.03 G<78>-.1 E
F0 5.171<2e54>.53 G .171<686973206f>-5.171 F -.15<7665>-.15 G .171
<7272696465732074686520646566>.15 F<61756c74>-.1 E .172
<666561747572652073656c656374696f6e206d6574686f642028736565>144 604.8 R
F1<2d77>2.672 E F0 .171<6f7074696f6e2920616e64206c6561726e732c20666f7220
65616368206c696e65206f6620696e7075742c206f6e6c7920746f6b>2.672 F .171
<656e7320636f6e7374727563746564>-.1 F 1.997<66726f6d2074686520636f6e6361
74656e6174696f6e206f6620737472696e6773207768696368206d617463682074686520
7461676765642073756265>144 616.8 R 1.998
<787072657373696f6e732077697468696e2074686520737570706c696564>-.15 F F3
-.37<7265>144 628.8 S -.1<6765>-.03 G<78>-.1 E F0 5.584<2e41>.53 G .583
<6c6c20737562737472696e6773207768696368206d61746368>-5.584 F F3 -.37
<7265>3.083 G -.1<6765>-.03 G<78>-.1 E F0 .583<77697468696e206120737566>
3.083 F .583<8c78206f66206561636820696e707574206c696e652061726520747265
617465642061732066656174757265732c>-.25 F -2.15 -.25<65762065>144 640.8
T 2.5<6e69>.25 G 2.5<6674>-2.5 G<6865>-2.5 E 2.5<796f>-.15 G -.15<7665>
-2.65 G<726c6170206f6e2074686520696e707574206c696e652e>.15 E .073
<417320616e206f7074696f6e616c20636f6e>144 657.6 R -.15<7665>-.4 G
<6e69656e63652c>.15 E F3 -.37<7265>2.574 G -.1<6765>-.03 G<78>-.1 E F0
.074<63616e20696e636c7564652074686520737566>3.104 F<8c78>-.25 E F3
<7c7c78797a>2.024 E F0 .074
<776869636820696e6469636174657320776869636820706172656e74686573697a6564>
2.984 F<73756265>144 669.6 Q .156<787072657373696f6e732073686f756c642062
65207461676765642e20496e207468697320636173652c>-.15 F F3<78797a>3.426 E
F0 .156<73686f756c6420636f6e736973742065>3.066 F<78636c757369>-.15 E
-.15<7665>-.25 G .155
<6c79206f6620646967697473203120746f20392c206e756d2d>.15 F
<626572696e672065>144 681.6 Q<786163746c792074686f73652073756265>-.15 E
<787072657373696f6e732077686963682073686f756c64206265207461676765642e>
-.15 E 25.17<2d6820536574>108 698.4 R .712
<7468652073697a65206f66207468652068617368207461626c6520746f20325e>3.212
F F3<73697a65>A F0 .713
<656c656d656e74732e205768656e207573696e6720746865>3.213 F F1<2d6c>3.213
E F0 .713
<6f7074696f6e2c20746869732072656665727320746f2074686520746f74616c>3.213
F 1.669<6e756d626572206f6620666561747572657320616c6c6f>144 710.4 R 1.669
<77656420696e20746865206d6178696d756d20656e74726f70>-.25 F 4.169<796d>
-.1 G 1.668
<6f64656c206265696e67206c6561726e65642e205768656e207573696e6720746865>
-4.169 F F1<2d63>4.168 E F0 .54
<6f7074696f6e20746f67686574686572207769746820746865>144 722.4 R F1<2d4d>
3.04 E F0 .541
<73776974636820616e64206d756c74696e6f6d69616c20747970652063617465>3.041
F .541
<676f726965732c20746869732072656665727320746f20746865206d6178696d756d>
-.15 F -1.11<5665>72 768 S<7273696f6e20312e382e31>1.11 E
<426179657369616e2054>111.915 E -.15<6578>-.7 G 2.5<7443>.15 G
<6c617373698c636174696f6e2054>-2.5 E 157.465<6f6f6c732032>-.8 F 0 Cg EP
end
%%Trailer
cleartomark
countdictstack
exch sub { end } repeat
restore
%%EOF

%%EndDocument
 @endspecial eop end
%%Page: 26 26
TeXDict begin 26 25 bop 456 251 a Fn(26)1212 b(L.A.)22
b(BREYER)456 5216 y @beginspecial 72 @llx 72 @lly 540
@urx 802 @ury 5818 @rhi @setspecial
%%BeginDocument: dbaclman1_8_1_page3.eps
%!PS-Adobe-3.0 EPSF-3.0
%%BoundingBox: 72 72 540 802
% EPSF created by ps2eps 1.28
%%Creator: groff version 1.18.1
%%CreationDate: Thu Jul 29 16:14:12 2004
%%DocumentNeededResources: font Times-Roman
%%+ font Times-Bold
%%+ font Times-Italic
%%DocumentSuppliedResources: procset grops 1.18 1
%%PageOrder: Ascend
%%Orientation: Portrait
%%EndComments
%%BeginProlog
save
countdictstack
mark
newpath
/showpage {} def
%%EndProlog
%%Page 1 1
/setpacking where{
pop
currentpacking
true setpacking
}if
/grops 120 dict dup begin
/SC 32 def
/A/show load def
/B{0 SC 3 -1 roll widthshow}bind def
/C{0 exch ashow}bind def
/D{0 exch 0 SC 5 2 roll awidthshow}bind def
/E{0 rmoveto show}bind def
/F{0 rmoveto 0 SC 3 -1 roll widthshow}bind def
/G{0 rmoveto 0 exch ashow}bind def
/H{0 rmoveto 0 exch 0 SC 5 2 roll awidthshow}bind def
/I{0 exch rmoveto show}bind def
/J{0 exch rmoveto 0 SC 3 -1 roll widthshow}bind def
/K{0 exch rmoveto 0 exch ashow}bind def
/L{0 exch rmoveto 0 exch 0 SC 5 2 roll awidthshow}bind def
/M{rmoveto show}bind def
/N{rmoveto 0 SC 3 -1 roll widthshow}bind def
/O{rmoveto 0 exch ashow}bind def
/P{rmoveto 0 exch 0 SC 5 2 roll awidthshow}bind def
/Q{moveto show}bind def
/R{moveto 0 SC 3 -1 roll widthshow}bind def
/S{moveto 0 exch ashow}bind def
/T{moveto 0 exch 0 SC 5 2 roll awidthshow}bind def
/SF{
findfont exch
[exch dup 0 exch 0 exch neg 0 0]makefont
dup setfont
[exch/setfont cvx]cvx bind def
}bind def
/MF{
findfont
[5 2 roll
0 3 1 roll
neg 0 0]makefont
dup setfont
[exch/setfont cvx]cvx bind def
}bind def
/level0 0 def
/RES 0 def
/PL 0 def
/LS 0 def
/MANUAL{
statusdict begin/manualfeed true store end
}bind def
/PLG{
gsave newpath clippath pathbbox grestore
exch pop add exch pop
}bind def
/BP{
/level0 save def
1 setlinecap
1 setlinejoin
72 RES div dup scale
LS{
90 rotate
}{
0 PL translate
}ifelse
1 -1 scale
}bind def
/EP{
level0 restore
showpage
}bind def
/DA{
newpath arcn stroke
}bind def
/SN{
transform
.25 sub exch .25 sub exch
round .25 add exch round .25 add exch
itransform
}bind def
/DL{
SN
moveto
SN
lineto stroke
}bind def
/DC{
newpath 0 360 arc closepath
}bind def
/TM matrix def
/DE{
TM currentmatrix pop
translate scale newpath 0 0 .5 0 360 arc closepath
TM setmatrix
}bind def
/RC/rcurveto load def
/RL/rlineto load def
/ST/stroke load def
/MT/moveto load def
/CL/closepath load def
/Fr{
setrgbcolor fill
}bind def
/Fk{
setcmykcolor fill
}bind def
/Fg{
setgray fill
}bind def
/FL/fill load def
/LW/setlinewidth load def
/Cr/setrgbcolor load def
/Ck/setcmykcolor load def
/Cg/setgray load def
/RE{
findfont
dup maxlength 1 index/FontName known not{1 add}if dict begin
{
1 index/FID ne{def}{pop pop}ifelse
}forall
/Encoding exch def
dup/FontName exch def
currentdict end definefont pop
}bind def
/DEFS 0 def
/EBEGIN{
moveto
DEFS begin
}bind def
/EEND/end load def
/CNT 0 def
/level1 0 def
/PBEGIN{
/level1 save def
translate
div 3 1 roll div exch scale
neg exch neg exch translate
0 setgray
0 setlinecap
1 setlinewidth
0 setlinejoin
10 setmiterlimit
[]0 setdash
/setstrokeadjust where{
pop
false setstrokeadjust
}if
/setoverprint where{
pop
false setoverprint
}if
newpath
/CNT countdictstack def
userdict begin
/showpage{}def
}bind def
/PEND{
clear
countdictstack CNT sub{end}repeat
level1 restore
}bind def
end def
/setpacking where{
pop
setpacking
}if
grops begin/DEFS 1 dict def DEFS begin/u{.001 mul}bind def end/RES 72
def/PL 841.89 def/LS false def/ENC0[/asciicircum/asciitilde/Scaron
/Zcaron/scaron/zcaron/Ydieresis/trademark/quotesingle/Euro/.notdef
/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef
/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef
/.notdef/.notdef/.notdef/space/exclam/quotedbl/numbersign/dollar/percent
/ampersand/quoteright/parenleft/parenright/asterisk/plus/comma/hyphen
/period/slash/zero/one/two/three/four/five/six/seven/eight/nine/colon
/semicolon/less/equal/greater/question/at/A/B/C/D/E/F/G/H/I/J/K/L/M/N/O
/P/Q/R/S/T/U/V/W/X/Y/Z/bracketleft/backslash/bracketright/circumflex
/underscore/quoteleft/a/b/c/d/e/f/g/h/i/j/k/l/m/n/o/p/q/r/s/t/u/v/w/x/y
/z/braceleft/bar/braceright/tilde/.notdef/quotesinglbase/guillemotleft
/guillemotright/bullet/florin/fraction/perthousand/dagger/daggerdbl
/endash/emdash/ff/fi/fl/ffi/ffl/dotlessi/dotlessj/grave/hungarumlaut
/dotaccent/breve/caron/ring/ogonek/quotedblleft/quotedblright/oe/lslash
/quotedblbase/OE/Lslash/.notdef/exclamdown/cent/sterling/currency/yen
/brokenbar/section/dieresis/copyright/ordfeminine/guilsinglleft
/logicalnot/minus/registered/macron/degree/plusminus/twosuperior
/threesuperior/acute/mu/paragraph/periodcentered/cedilla/onesuperior
/ordmasculine/guilsinglright/onequarter/onehalf/threequarters
/questiondown/Agrave/Aacute/Acircumflex/Atilde/Adieresis/Aring/AE
/Ccedilla/Egrave/Eacute/Ecircumflex/Edieresis/Igrave/Iacute/Icircumflex
/Idieresis/Eth/Ntilde/Ograve/Oacute/Ocircumflex/Otilde/Odieresis
/multiply/Oslash/Ugrave/Uacute/Ucircumflex/Udieresis/Yacute/Thorn
/germandbls/agrave/aacute/acircumflex/atilde/adieresis/aring/ae/ccedilla
/egrave/eacute/ecircumflex/edieresis/igrave/iacute/icircumflex/idieresis
/eth/ntilde/ograve/oacute/ocircumflex/otilde/odieresis/divide/oslash
/ugrave/uacute/ucircumflex/udieresis/yacute/thorn/ydieresis]def
/Times-Italic@0 ENC0/Times-Italic RE/Times-Bold@0 ENC0/Times-Bold RE
/Times-Roman@0 ENC0/Times-Roman RE
BP
/F0 10/Times-Roman@0 SF<4442>72 48 Q -.4<4143>-.35 G 375.9
<4c283129204442>.4 F -.4<4143>-.35 G<4c283129>.4 E 1.187
<6e756d626572206f662066656174757265732074616b>144 84 R 1.187<656e20696e
746f206163636f756e7420647572696e6720636c617373698c636174696f6e2e>-.1 F
-.4<5769>6.187 G 1.187<74686f757420746865>.4 F/F1 10/Times-Bold@0 SF
<2d4d>3.687 E F0 1.187<7377697463682c2074686973206f7074696f6e>3.687 F
<686173206e6f206566>144 96 Q<666563742e>-.25 E 27.39<2d692046756c6c79>
108 112.8 R .934<696e7465726e6174696f6e616c697a6564206d6f64652e2046>
3.434 F .935<6f726365732074686520757365206f6620776964652063686172616374
65727320696e7465726e616c6c79>-.15 F 3.435<2c77>-.65 G .935
<68696368206973206e656365737361727920696e>-3.435 F<736f6d65206c6f63616c
65732e205468697320696e637572732061206e6f7469636561626c6520706572666f726d
616e63652070656e616c7479>144 124.8 Q<2e>-.65 E 27.39<2d6a204d616b>108
141.6 R 2.736<6566>-.1 G .236<6561747572657320636173652073656e73697469>
-2.736 F -.15<7665>-.25 G 2.736<2e4e>.15 G<6f726d616c6c79>-2.736 E 2.736
<2c61>-.65 G .235<6c6c2066656174757265732061726520636f6e>-2.736 F -.15
<7665>-.4 G .235<7274656420746f206c6f>.15 F .235
<776572206361736520647572696e672070726f63657373696e672c>-.25 F .169<7768
69636820726564756365732073746f7261676520726571756972656d656e747320616e64
20696d70726f>144 153.6 R -.15<7665>-.15 G 2.669<7373>.15 G .169<74617469
73746963616c20657374696d6174657320666f7220736d616c6c2064617461736574732e
2057>-2.669 F .17<6974682074686973>-.4 F 1.11<6f7074696f6e2c20746865206f
726967696e616c206361706974616c697a6174696f6e206973207573656420666f722065
61636820666561747572652e20546869732063616e20696d70726f>144 165.6 R 1.41
-.15<76652063>-.15 H 1.11<6c617373698c636174696f6e20616363752d>.15 F
<726163>144 177.6 Q -.65<792e>-.15 G 22.39<2d6d204167677265737369>108
194.4 R -.15<7665>-.25 G .208<6c79206d6170732063617465>.15 F .209<676f72
69657320696e746f206d656d6f727920616e64206c6f636b73207468656d20696e746f20
52414d20746f20707265>-.15 F -.15<7665>-.25 G .209<6e74207377>.15 F .209
<617070696e672c20696620706f732d>-.1 F .653<7369626c652e2054686973206973
2075736566756c207768656e20737065656420697320706172616d6f756e7420616e6420
6d656d6f727920697320706c656e746966756c2c20666f722065>144 206.4 R .653
<78616d706c65207768656e2074657374696e67>-.15 F 1.514
<74686520636c617373698c6572206f6e206c6172>144 218.4 R 1.514
<67652064617461736574732e>-.18 F 1.514<4c6f636b696e67206d61792072657175
6972652072656c6178696e672075736572206c696d6974732077697468>6.514 F F1
<756c696d6974>4.015 E F0<2831292e>A F1<41736b>A F0<792d>A<6f7572>144
230.4 Q F1<73797374656d>A F0<61646d696e6973747261746f72>A<2e>-.55 E
25.17<2d6e205072696e74>108 247.2 R .832<73636f72657320666f722065616368>
3.332 F/F2 10/Times-Italic@0 SF<63617465>3.332 E<676f7279>-.4 E F0 5.832
<2e45>.32 G .832
<6163682073636f7265206973207468652070726f64756374206f66207477>-5.832 F
3.332<6f6e>-.1 G .832<756d626572732c207468652063726f737320656e74726f70>
-3.332 F 3.331<7961>-.1 G<6e64>-3.331 E 1.682<74686520636f6d706c65>144
259.2 R 1.683<78697479206f662074686520696e707574207465>-.15 F 1.683<7874
20756e6465722065616368206d6f64656c2e204d756c7469706c69656420746f67657468
6572>-.15 F 4.183<2c74>-.4 G<6865>-4.183 E 4.183<7972>-.15 G 1.683
<6570726573656e7420746865206c6f67>-4.183 F 1.112<70726f626162696c697479
20746861742074686520696e70757420726573656d626c657320746865206d6f64656c2e
2054>144 271.2 R 3.611<6f73>-.8 G 1.111
<6565207468657365206e756d626572732073657061726174656c79>-3.611 F 3.611
<2c75>-.65 G 1.111<736520616c736f20746865>-3.611 F F1<2d76>3.611 E F0
.145<6f7074696f6e2e20496e20636f6e6a756e6374696f6e207769746820746865>144
283.2 R F1<2d66>2.645 E F0 .146
<6f7074696f6e2c2073746f7073208c6c746572696e672062>2.645 F .146<75742070
72696e7473206561636820696e707574206c696e652070726570656e6465642077697468
2061>-.2 F<6c697374206f662073636f72657320666f722074686174206c696e652e>
144 295.2 Q 25.17<2d712053656c656374>108 312 R F2<7175616c697479>3.825 E
F0 1.075<6f66206c6561726e696e672c207768657265>3.895 F F2<7175616c697479>
3.825 E F0 1.075<63616e20626520312c322c332c342e204869676865722076>3.895
F 1.074<616c7565732074616b>-.25 F 3.574<656c>-.1 G 1.074
<6f6e67657220746f206c6561726e2c20616e64>-3.574 F 1.785<73686f756c642062
6520736c696768746c79206d6f72652061636375726174652e2054686520646566>144
324 R<61756c74>-.1 E F2<7175616c697479>4.535 E F0 1.785
<69732031206966207468652063617465>4.605 F 1.785
<676f7279208c6c6520646f65736e27>-.15 F 4.285<7465>-.18 G 1.785
<78697374206f72>-4.435 F<776569676874732063616e6e6f74206265207072656c6f
616465642c20616e642032206f74686572776973652e>144 336 Q 25.17
<2d6f205768656e>108 352.8 R 1.019
<6c6561726e696e672c2072656164732f777269746573207061727469616c20746f6b>
3.519 F 1.019<656e20636f756e747320736f20746865>-.1 F 3.518<7963>-.15 G
1.018<616e206265207265757365642e204e6f726d616c6c79>-3.518 F 3.518<2c63>
-.65 G<617465>-3.518 E 1.018<676f7279208c6c6573>-.15 F .1
<617265206c6561726e65642066726f6d2065>144 364.8 R .1
<786163746c792074686520696e7075742064617461206769>-.15 F -.15<7665>-.25
G .1<6e2c20616e6420646f6e27>.15 F 2.6<7463>-.18 G .1<6f6e7461696e2065>
-2.6 F .1
<787472616e656f757320696e666f726d6174696f6e2e205768656e2074686973>-.15 F
.358<6f7074696f6e20697320696e206566>144 376.8 R .358
<666563742c20736f6d652065>-.25 F .358
<7874726120696e666f726d6174696f6e206973207361>-.15 F -.15<7665>-.2 G
2.858<6469>.15 G 2.858<6e74>-2.858 G .358<6865208c6c65>-2.858 F F2
<6f6e6c696e65>2.858 E F0 2.858<2c61>.18 G .357
<6674657220616c6c20696e7075742077>-2.858 F .357
<617320726561642e2054686973>-.1 F .025
<696e666f726d6174696f6e2063616e2062652072657265616420746865206e65>144
388.8 R .025<78742074696d65206c6561726e696e67206f63637572732c20746f2063
6f6e74696e75652077686572652074686520707265>-.15 F .026
<76696f75732064617461736574206c656674>-.25 F<6f66>144 400.8 Q 1.169
<662e204966>-.25 F F2<6f6e6c696e65>3.899 E F0<646f65736e27>3.849 E 3.669
<7465>-.18 G 1.169<786973742c20697420697320637265617465642e204966>-3.819
F F2<6f6e6c696e65>3.899 E F0 -.15<6578>3.849 G 1.169<697374732c20697420
69732072656164206265666f7265206c6561726e696e672c20616e642075706461746564>
.15 F<616674657277>144 412.8 Q<617264732e20546865208c6c6520697320617070
726f78696d6174656c7920332074696d65732062696767657220286174206c6561737429
207468616e20746865206c6561726e6564>-.1 E F2<63617465>2.5 E<676f7279>-.4
E F0<2e>.32 E 26.84<2d72204c6561726e>108 429.6 R
<7468652064696772616d6963207265666572656e6365206d6f64656c206f6e6c79>2.5
E 2.5<2e53>-.65 G<6b69707320746865206c6561726e696e67206f662065>-2.5 E
<7874726120666561747572657320696e20746865207465>-.15 E
<787420636f727075732e>-.15 E 25.17<2d762056>108 446.4 R .194<6572626f73
65206d6f64652e205768656e206c6561726e696e672c207072696e74206f757420646574
61696c73206f662074686520636f6d7075746174696f6e2c207768656e20636c61737369
6679696e672c207072696e74206f757420746865>-1.11 F 1.199
<6e616d65206f6620746865206d6f73742070726f6261626c65>144 458.4 R F2
<63617465>3.699 E<676f7279>-.4 E F0 6.199<2e49>.32 G 3.699<6e63>-6.199 G
1.199<6f6e6a756e6374696f6e207769746820746865>-3.699 F F1<2d6e>3.699 E F0
1.198<6f7074696f6e2c207072696e7473207468652073636f72657320617320616e>
3.699 F -.15<6578>144 470.4 S
<706c696369742070726f64756374206f66207468652063726f737320656e74726f70>
.15 E 2.5<7961>-.1 G<6e642074686520636f6d706c65>-2.5 E<78697479>-.15 E
<2e>-.65 E 22.95<2d772053656c656374>108 487.2 R<646566>3.478 E .978
<61756c7420666561747572657320746f206265206e2d6772616d7320757020746f>-.1
F F2<6d61785f6f72>3.478 E<646572>-.37 E F0 5.978<2e54>.73 G .978
<68697320697320696e636f6d70617469626c65207769746820746865>-5.978 F F1
<2d67>3.478 E F0<6f7074696f6e2c>3.478 E .208<776869636820616c>144 499.2
R -.1<7761>-.1 G .208<79732074616b>.1 F .208
<657320707265636564656e63652e204966206e6f>-.1 F F1<2d77>2.707 E F0<6f72>
2.707 E F1<2d67>2.707 E F0 .207<6f7074696f6e7320617265206769>2.707 F
-.15<7665>-.25 G<6e2c>.15 E F1<646261636c>2.707 E F0<617373756d6573>
2.707 E F1<2d77>2.707 E F0 .207<312e204e6f74652074686174206e2d>2.707 F
.25<6772616d7320666f72206e2067726561746572207468616e20312063616e20737472
6164646c65206c696e6520627265616b732e20496620796f7527>144 511.2 R .251
<7265206c6561726e696e672073696e676c65206c696e6573206f66207465>-.5 F .251
<78742c20697427>-.15 F 2.751<736d>-.55 G<6f7265>-2.751 E
<616363757261746520746f2075736520746865>144 523.2 Q F1<2d67>2.5 E F0
<6f7074696f6e20617320617070726f7072696174652e>2.5 E 25.17<2d7820536574>
108 540 R 1.846
<646563696d6174696f6e2070726f626162696c69747920746f2031202d20325e28>
4.346 F F2<2d646563696d>A F0 4.346<292e2054>B 4.346<6f72>-.8 G 1.846<65
64756365206d656d6f727920726571756972656d656e7473207768656e206c6561726e69
6e672c>-4.346 F 1.916<736f6d6520696e70757473206172652072616e646f6d6c7920
736b69707065642c20616e64206f6e6c792061206665>144 552 R 4.416<7761>-.25 G
1.916<726520616464656420746f20746865206d6f64656c2e>-4.416 F 1.916
<45786163742062656861>6.916 F<76696f7572>-.2 E 1.849
<646570656e6473206f6e20746865206170706c696361626c65>144 564 R F1<2d54>
4.348 E F0 1.848<6f7074696f6e2028646566>4.348 F 1.848<61756c74206973>-.1
F F1<2d54>4.348 E F0<227465>4.348 E 4.348<787422292e205768656e>-.15 F
1.848<7468652074797065206973206e6f742022656d61696c22202865>4.348 F<67>
-.15 E<227465>144 576 Q 1.728<787422292c207468656e20696e6469>-.15 F
1.728<76696475616c20696e707574206665617475726573206172652061646465642077
6974682070726f626162696c69747920325e28>-.25 F F2<2d646563696d>A F0 1.729
<292e205768656e207468652074797065206973>B .981<22656d61696c222c20746865
6e2066756c6c20696e707574206d65737361676573206172652061646465642077697468
2070726f626162696c69747920325e28>144 588 R F2<2d646563696d>A F0 3.481
<292e2057>B .98<697468696e20656163682073756368206d65732d>-.4 F
<736167652c20616c6c2066656174757265732061726520757365642e>144 600 Q
22.95<2d4120457870656374>108 616.8 R .619
<696e64656e74656420696e70757420616e642073636f7265732e2057>3.119 F .619
<6974682074686973207377697463682c>-.4 F F1<646261636c>3.119 E F0 -.15
<6578>3.119 G .62<706563747320696e707574206c696e657320746f20626520696e64
656e7465642062792061>.15 F .03<73696e676c652073706163652063686172616374
657220287768696368206973207468656e20736b6970706564292e>144 628.8 R .03
<4c696e6573207374617274696e67207769746820616e>5.03 F 2.53<796f>-.15 G
.03<7468657220636861726163746572206172652069676e6f7265642e>-2.53 F .406
<546869732069732074686520636f756e7465727061727420746f20746865>144 640.8
R F1<2d61>2.906 E F0 .406<7377697463682061626f>2.906 F -.15<7665>-.15 G
5.406<2e57>.15 G .406
<68656e207573656420746f676574686572207769746820746865>-5.406 F F1<2d61>
2.906 E F0<7377697463682c>2.906 E F1<646261636c>2.906 E F0<6f75742d>
2.906 E<707574732074686520736b6970706564206c696e657320617320746865>144
652.8 Q 2.5<7961>-.15 G<72652c20616e64207265696e736572747320746865207370
616365206174207468652066726f6e74206f6620656163682070726f6365737365642069
6e707574206c696e652e>-2.5 E 22.95<2d44205072696e74>108 669.6 R<646562>
3.786 E 1.286
<7567206f75747075742e20446f206e6f7420757365206e6f726d616c6c79>-.2 F
3.786<2c62>-.65 G 1.286<75742063616e2062652076>-3.986 F 1.285<6572792075
736566756c20666f7220646973706c6179696e6720746865206c69737420666561747572
6573>-.15 F<7069636b>144 681.6 Q
<6564207570207768696c65206c6561726e696e672e>-.1 E 22.95<2d4820416c6c6f>
108 698.4 R 3.932<7768>-.25 G 1.432<617368207461626c6520746f2067726f>
-3.932 F 3.932<7775>-.25 G 3.932<7074>-3.932 G 3.932<6f616d>-3.932 G
1.433<6178696d756d206f6620325e>-3.932 F F2<6773697a65>A F0 1.433<656c65
6d656e747320647572696e67206c6561726e696e672e20496e697469616c2073697a6520
6973>3.933 F<6769>144 710.4 Q -.15<7665>-.25 G 2.5<6e62>.15 G<79>-2.5 E
F1<2d68>2.5 E F0<6f7074696f6e2e>2.5 E -1.11<5665>72 768 S
<7273696f6e20312e382e31>1.11 E<426179657369616e2054>111.915 E -.15<6578>
-.7 G 2.5<7443>.15 G<6c617373698c636174696f6e2054>-2.5 E 157.465
<6f6f6c732033>-.8 F 0 Cg EP
end
%%Trailer
cleartomark
countdictstack
exch sub { end } repeat
restore
%%EOF

%%EndDocument
 @endspecial eop end
%%Page: 27 27
TeXDict begin 27 26 bop 1428 251 a Fn(THE)30 b(DBA)n(CL)g(TEXT)f
(CLASSIFIER)906 b(27)456 5216 y @beginspecial 72 @llx
72 @lly 540 @urx 802 @ury 5818 @rhi @setspecial
%%BeginDocument: dbaclman1_8_1_page4.eps
%!PS-Adobe-3.0 EPSF-3.0
%%BoundingBox: 72 72 540 802
% EPSF created by ps2eps 1.28
%%Creator: groff version 1.18.1
%%CreationDate: Thu Jul 29 16:14:12 2004
%%DocumentNeededResources: font Times-Roman
%%+ font Times-Bold
%%+ font Times-Italic
%%DocumentSuppliedResources: procset grops 1.18 1
%%PageOrder: Ascend
%%Orientation: Portrait
%%EndComments
%%BeginProlog
save
countdictstack
mark
newpath
/showpage {} def
%%EndProlog
%%Page 1 1
/setpacking where{
pop
currentpacking
true setpacking
}if
/grops 120 dict dup begin
/SC 32 def
/A/show load def
/B{0 SC 3 -1 roll widthshow}bind def
/C{0 exch ashow}bind def
/D{0 exch 0 SC 5 2 roll awidthshow}bind def
/E{0 rmoveto show}bind def
/F{0 rmoveto 0 SC 3 -1 roll widthshow}bind def
/G{0 rmoveto 0 exch ashow}bind def
/H{0 rmoveto 0 exch 0 SC 5 2 roll awidthshow}bind def
/I{0 exch rmoveto show}bind def
/J{0 exch rmoveto 0 SC 3 -1 roll widthshow}bind def
/K{0 exch rmoveto 0 exch ashow}bind def
/L{0 exch rmoveto 0 exch 0 SC 5 2 roll awidthshow}bind def
/M{rmoveto show}bind def
/N{rmoveto 0 SC 3 -1 roll widthshow}bind def
/O{rmoveto 0 exch ashow}bind def
/P{rmoveto 0 exch 0 SC 5 2 roll awidthshow}bind def
/Q{moveto show}bind def
/R{moveto 0 SC 3 -1 roll widthshow}bind def
/S{moveto 0 exch ashow}bind def
/T{moveto 0 exch 0 SC 5 2 roll awidthshow}bind def
/SF{
findfont exch
[exch dup 0 exch 0 exch neg 0 0]makefont
dup setfont
[exch/setfont cvx]cvx bind def
}bind def
/MF{
findfont
[5 2 roll
0 3 1 roll
neg 0 0]makefont
dup setfont
[exch/setfont cvx]cvx bind def
}bind def
/level0 0 def
/RES 0 def
/PL 0 def
/LS 0 def
/MANUAL{
statusdict begin/manualfeed true store end
}bind def
/PLG{
gsave newpath clippath pathbbox grestore
exch pop add exch pop
}bind def
/BP{
/level0 save def
1 setlinecap
1 setlinejoin
72 RES div dup scale
LS{
90 rotate
}{
0 PL translate
}ifelse
1 -1 scale
}bind def
/EP{
level0 restore
showpage
}bind def
/DA{
newpath arcn stroke
}bind def
/SN{
transform
.25 sub exch .25 sub exch
round .25 add exch round .25 add exch
itransform
}bind def
/DL{
SN
moveto
SN
lineto stroke
}bind def
/DC{
newpath 0 360 arc closepath
}bind def
/TM matrix def
/DE{
TM currentmatrix pop
translate scale newpath 0 0 .5 0 360 arc closepath
TM setmatrix
}bind def
/RC/rcurveto load def
/RL/rlineto load def
/ST/stroke load def
/MT/moveto load def
/CL/closepath load def
/Fr{
setrgbcolor fill
}bind def
/Fk{
setcmykcolor fill
}bind def
/Fg{
setgray fill
}bind def
/FL/fill load def
/LW/setlinewidth load def
/Cr/setrgbcolor load def
/Ck/setcmykcolor load def
/Cg/setgray load def
/RE{
findfont
dup maxlength 1 index/FontName known not{1 add}if dict begin
{
1 index/FID ne{def}{pop pop}ifelse
}forall
/Encoding exch def
dup/FontName exch def
currentdict end definefont pop
}bind def
/DEFS 0 def
/EBEGIN{
moveto
DEFS begin
}bind def
/EEND/end load def
/CNT 0 def
/level1 0 def
/PBEGIN{
/level1 save def
translate
div 3 1 roll div exch scale
neg exch neg exch translate
0 setgray
0 setlinecap
1 setlinewidth
0 setlinejoin
10 setmiterlimit
[]0 setdash
/setstrokeadjust where{
pop
false setstrokeadjust
}if
/setoverprint where{
pop
false setoverprint
}if
newpath
/CNT countdictstack def
userdict begin
/showpage{}def
}bind def
/PEND{
clear
countdictstack CNT sub{end}repeat
level1 restore
}bind def
end def
/setpacking where{
pop
setpacking
}if
grops begin/DEFS 1 dict def DEFS begin/u{.001 mul}bind def end/RES 72
def/PL 841.89 def/LS false def/ENC0[/asciicircum/asciitilde/Scaron
/Zcaron/scaron/zcaron/Ydieresis/trademark/quotesingle/Euro/.notdef
/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef
/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef
/.notdef/.notdef/.notdef/space/exclam/quotedbl/numbersign/dollar/percent
/ampersand/quoteright/parenleft/parenright/asterisk/plus/comma/hyphen
/period/slash/zero/one/two/three/four/five/six/seven/eight/nine/colon
/semicolon/less/equal/greater/question/at/A/B/C/D/E/F/G/H/I/J/K/L/M/N/O
/P/Q/R/S/T/U/V/W/X/Y/Z/bracketleft/backslash/bracketright/circumflex
/underscore/quoteleft/a/b/c/d/e/f/g/h/i/j/k/l/m/n/o/p/q/r/s/t/u/v/w/x/y
/z/braceleft/bar/braceright/tilde/.notdef/quotesinglbase/guillemotleft
/guillemotright/bullet/florin/fraction/perthousand/dagger/daggerdbl
/endash/emdash/ff/fi/fl/ffi/ffl/dotlessi/dotlessj/grave/hungarumlaut
/dotaccent/breve/caron/ring/ogonek/quotedblleft/quotedblright/oe/lslash
/quotedblbase/OE/Lslash/.notdef/exclamdown/cent/sterling/currency/yen
/brokenbar/section/dieresis/copyright/ordfeminine/guilsinglleft
/logicalnot/minus/registered/macron/degree/plusminus/twosuperior
/threesuperior/acute/mu/paragraph/periodcentered/cedilla/onesuperior
/ordmasculine/guilsinglright/onequarter/onehalf/threequarters
/questiondown/Agrave/Aacute/Acircumflex/Atilde/Adieresis/Aring/AE
/Ccedilla/Egrave/Eacute/Ecircumflex/Edieresis/Igrave/Iacute/Icircumflex
/Idieresis/Eth/Ntilde/Ograve/Oacute/Ocircumflex/Otilde/Odieresis
/multiply/Oslash/Ugrave/Uacute/Ucircumflex/Udieresis/Yacute/Thorn
/germandbls/agrave/aacute/acircumflex/atilde/adieresis/aring/ae/ccedilla
/egrave/eacute/ecircumflex/edieresis/igrave/iacute/icircumflex/idieresis
/eth/ntilde/ograve/oacute/ocircumflex/otilde/odieresis/divide/oslash
/ugrave/uacute/ucircumflex/udieresis/yacute/thorn/ydieresis]def
/Times-Italic@0 ENC0/Times-Italic RE/Times-Bold@0 ENC0/Times-Bold RE
/Times-Roman@0 ENC0/Times-Roman RE
BP
/F0 10/Times-Roman@0 SF<4442>72 48 Q -.4<4143>-.35 G 375.9
<4c283129204442>.4 F -.4<4143>-.35 G<4c283129>.4 E 24.06
<2d4c2053656c656374>108 84 R .748<7468652064696772616d696320726566657265
6e6365206d65617375726520666f7220636861726163746572207472616e736974696f6e
732e20546865>3.248 F/F1 10/Times-Italic@0 SF<6d6561737572>3.248 E<65>
-.37 E F0 .748<63616e206265206f6e65206f662022756e692d>3.248 F
<666f726d222c20226469726963686c657422206f7220226d6178>144 96 Q
<656e74222e20446566>-.15 E<61756c742069732022756e69666f726d222e>-.1 E
21.28<2d4d2046>108 112.8 R .193<6f726365206d756c74696e6f6d69616c2063616c
63756c6174696f6e732e205768656e206c6561726e696e672c20666f7263657320746865
206d6f64656c20666561747572657320746f2062652074726561746564206d756c74696e
6f6d692d>-.15 F<616c6c79>144 124.8 Q 2.589<2e57>-.65 G .088
<68656e20636c617373696679696e672c20636f72726563747320656e74726f70>-2.589
F 2.588<7973>-.1 G .088<636f72657320746f2072658d656374206d756c74696e6f6d
69616c2070726f626162696c697469657320286f6e6c79206170706c696361626c65>
-2.588 F .294<746f206d756c74696e6f6d69616c2074797065206d6f64656c732c2069
662070726573656e74292e>144 136.8 R .295<53636f7265732077696c6c20616c>
5.295 F -.1<7761>-.1 G .295<7973206265206c6f>.1 F<776572>-.25 E 2.795
<2c62>-.4 G .295<65636175736520746865206f72646572696e67206f66206665612d>
-2.795 F<7475726573206973206c6f73742e>144 148.8 Q 22.95
<2d4e205072696e74>108 165.6 R 2.052
<706f73746572696f722070726f626162696c697469657320666f722065616368>4.552
F F1<63617465>4.552 E<676f7279>-.4 E F0 7.052<2e54>.32 G 2.052
<68697320617373756d65732074686520737570706c6965642063617465>-7.052 F
2.051<676f7269657320666f726d20616e>-.15 F -.15<6578>144 177.6 S
<686175737469>.15 E 1.675 -.15<7665206c>-.25 H 1.375
<697374206f6620706f73736962696c69746965732e>.15 F 1.375
<496e20636f6e6a756e6374696f6e207769746820746865>6.375 F/F2 10
/Times-Bold@0 SF<2d66>3.875 E F0 1.375
<6f7074696f6e2c2073746f7073208c6c746572696e672062>3.875 F 1.375
<7574207072696e74732065616368>-.2 F<696e707574206c696e652070726570656e64
6564207769746820612073756d6d617279206f662074686520706f73746572696f722064
697374726962>144 189.6 Q<7574696f6e20666f722074686174206c696e652e>-.2 E
23.5<2d5220496e636c756465>108 206.4 R .915<616e2065>3.415 F .915
<787472612063617465>-.15 F .914
<676f727920666f7220707572656c792072616e646f6d207465>-.15 F .914
<78742e205468652063617465>-.15 F .914
<676f72792069732063616c6c6564202272616e646f6d222e>-.15 F .914
<4f6e6c79206d616b>5.914 F<6573>-.1 E
<73656e7365207768656e207573696e6720746865>144 218.4 Q F2<2d63>2.5 E F0
<6f7074696f6e2e>2.5 E 24.06<2d542053706563696679>108 235.2 R .917
<6e6f6e7374616e64617264207465>3.417 F .917
<787420666f726d61742e20427920646566>-.15 F<61756c742c>-.1 E F2
<646261636c>3.417 E F0 .917
<617373756d657320746861742074686520696e707574207465>3.417 F .918
<7874206973206120707572656c79>-.15 F/F3 9/Times-Roman@0 SF<4153434949>
3.418 E F0<7465>144 247.2 Q<7874208c6c652e205468697320636f72726573706f6e
647320746f207468652063617365207768656e>-.15 E F1<74797065>2.63 E F0
<697320227465>2.68 E<7874222e>-.15 E 1.744<546865726520617265207365>144
264 R -.15<7665>-.25 G 1.744<72616c20747970657320616e642073756274797065
732077686963682063616e206265207573656420746f20636c65616e2074686520696e70
7574207465>.15 F 1.743<7874206f662065>-.15 F<787472616e656f7573>-.15 E
<746f6b>144 276 Q .862<656e73206265666f72652061637475616c206c6561726e69
6e67206f7220636c617373696679696e672074616b>-.1 F .863<657320706c6163652e
20456163682028737562297479706520796f75207769736820746f20757365206d757374
206265>-.1 F 1.445<696e6469636174656420776974682061207365706172617465>
144 288 R F2<2d54>3.945 E F0 1.444<6f7074696f6e206f6e2074686520636f6d6d
616e64206c696e652c20616e64206175746f6d61746963616c6c7920696d706c69657320
74686520636f7272652d>3.944 F<73706f6e64696e6720747970652e>144 300 Q
1.027<54686520227465>144 316.8 R 1.027<787422207479706520697320666f7220
756e7374727563747572656420706c61696e207465>-.15 F 1.027<78742e204e6f2063
6c65616e757020697320706572666f726d65642e20546869732069732074686520646566>
-.15 F 1.027<61756c74206966206e6f>-.1 F<747970657320617265206769>144
328.8 Q -.15<7665>-.25 G 2.5<6e6f>.15 G 2.5<6e74>-2.5 G
<686520636f6d6d616e64206c696e652e>-2.5 E .285<5468652022656d61696c222074
79706520697320666f72206d626f7820666f726d617420696e707574208c6c6573206f72
2073696e676c652052464338323220656d61696c732e>144 345.6 R .285
<4865616465727320617265207265636f676e697a6564>5.285 F 1.215
<616e64206d6f73742061726520736b69707065642e2054>144 357.6 R 3.715<6f69>
-.8 G 1.215<6e636c7564652065>-3.715 F 1.215
<7874726120524643383232207374616e646172642068656164657273202865>-.15 F
1.216<786365707420666f7220747261636b696e672068656164657273292c>-.15 F
.675
<757365207468652022656d61696c3a686561646572732220737562747970652e2054>
144 369.6 R 3.174<6f6e>-.8 G .674<616d6520616c6c206865616465727320696e20
74686520656d61696c2c20757365207468652022656d61696c3a78686561646572732220
7375622d>-3.174 F 1.063<747970652e2054>144 381.6 R 3.563<6f73>-.8 G
1.064<6b697020616c6c20686561646572732c2065>-3.563 F 1.064<78636570742074
6865207375626a6563742c207573652022656d61696c3a6e6f68656164657273222e2054>
-.15 F 3.564<6f73>-.8 G 1.064
<63616e2062696e617279206174746163686d656e7473>-3.564 F<666f722073747269
6e67732c20757365207468652022656d61696c3a617474732220737562747970652e>144
393.6 Q .079
<5768656e207468652022656d61696c22207479706520697320696e206566>144 410.4
R .078<666563742c2048544d4c206d61726b7570206973206175746f6d61746963616c
6c792072656d6f>-.25 F -.15<7665>-.15 G 2.578<6466>.15 G .078
<726f6d207465>-2.578 F .078<7874206174746163686d656e7473>-.15 F -.15
<6578>144 422.4 S 1.605<63657074207465>.15 F 1.605
<78742f706c61696e206174746163686d656e74732e2054>-.15 F 4.106<6f61>-.8 G
1.606<6c736f2072656d6f>-4.106 F 1.906 -.15<76652048>-.15 H 1.606
<544d4c206d61726b75702066726f6d20706c61696e207465>.15 F 1.606
<7874206174746163686d656e74732c20757365>-.15 F
<22656d61696c3a6e6f706c61696e222e2054>144 434.4 Q 2.5<6f70>-.8 G<7265>
-2.5 E -.15<7665>-.25 G<6e742048544d4c206d61726b75702072656d6f>.15 E
-.25<7661>-.15 G 2.5<6c69>.25 G 2.5<6e61>-2.5 G<6c6c207465>-2.5 E
<7874206174746163686d656e74732c207573652022656d61696c3a706c61696e222e>
-.15 E .034<546865202268746d6c22207479706520697320666f722072656d6f>144
451.2 R .033<76696e672048544d4c206d61726b757020286265747765656e203c6874
6d6c3e20616e64203c2f68746d6c3e20746167732920616e6420737572726f756e642d>
-.15 F .13<696e67207465>144 463.2 R .131<78742e204e6f746520746861742069
66207468652022656d61696c22207479706520697320656e61626c65642c207468656e20
2268746d6c22206973206175746f6d61746963616c6c7920656e61626c656420666f7220
636f6d706174692d>-.15 F
<626c65206d657373616765206174746163686d656e7473206f6e6c79>144 475.2 Q
<2e>-.65 E .575<5468652022786d6c222074797065206973206c696b>144 492 R
3.075<6522>-.1 G .575<68746d6c222c2062>-3.075 F .575<757420646f65736e27>
-.2 F 3.075<7468>-.18 G .574<6f6e6f7572203c68746d6c3e20616e64203c2f6874
6d6c3e2c20616e6420646f65736e27>-3.075 F 3.074<7469>-.18 G .574
<6e746572707265742074616773>-3.074 F .119<28736f20746869732073686f756c64
206265206d6f72652070726f7065726c792063616c6c65642022616e676c65206d61726b
7570222072656d6f>144 504 R -.25<7661>-.15 G .119<6c2c20616e642068617320
6e6f7468696e6720746f20646f20776974682061637475616c>.25 F
<584d4c2073656d616e74696373292e>144 516 Q .505<5768656e202268746d6c2220
697320656e61626c65642c206d6f7374206d61726b757020617474726962>144 532.8 R
.504<7574657320617265206c6f73742028666f722076>-.2 F .504
<616c756573206f6620276d6f73742720636c6f736520746f2027616c6c27292e>-.25 F
<546865>5.504 E 1.939<2268746d6c3a6c696e6b7322207375627479706520666f7263
6573206c696e6b2075726c7320286e657477>144 544.8 R 1.939<6f726b206c6f6361
74696f6e206f6e6c792920746f2062652070617273656420616e64206c6561726e65642c
207768696368>-.1 F -.1<776f>144 556.8 S 2.01<756c64206f7468657277697365
2062652069676e6f7265642e20546865202268746d6c3a616c7422207375627479706520
666f726365732070617273696e67206f6620616c7465726e617469>.1 F 2.31 -.15
<76652074>-.25 H -.15<6578>.15 G 4.51<7469>.15 G 4.51<6e41>-4.51 G -.92
<4c54>-4.51 G<617474726962>144 568.8 Q .105<7574657320616e642076>-.2 F
.106<6172696f7573206f7468657220746167732e20546865202268746d6c3a73637269
70747322207375627479706520666f726365732070617273696e67206f66207363726970
74732c202268746d6c3a7374796c657322>-.25 F 2.396<666f72636573207061727369
6e67206f66207374796c65732c202268746d6c3a666f726d732220666f72636573207061
7273696e67206f6620666f726d2076>144 580.8 R 2.396
<616c7565732c207768696c65202268746d6c3a636f6d6d656e747322>-.25 F
<666f726365732070617273696e67206f662048544d4c20636f6d6d656e74732e>144
592.8 Q 22.95<2d56205072696e74>108 609.6 R<7468652070726f6772616d2076>
2.5 E<657273696f6e206e756d62657220616e642065>-.15 E<7869742e>-.15 E
22.95<2d58205072696e74>108 626.4 R .744<74686520636f6e8c64656e636520696e
207468652073636f72652063616c63756c6174656420666f722065616368>3.244 F F1
<63617465>3.245 E<676f7279>-.4 E F0 3.245<2c77>.32 G .745
<68656e207573656420746f676574686572207769746820746865>-3.245 F F2<2d6e>
3.245 E F0<6f72>A F2<2d>A<4e>144 638.4 Q F0 2.573
<7377697463682e20546865>B .073<636f6e8c64656e636520697320616e2065737469
6d617465206f6620746865207479706963616c697479206f66207468652073636f72652c
20617373756d696e6720746865206e756c6c2068>2.573 F<79706f746865736973>-.05
E .576<7468617420746865206769>144 650.4 R -.15<7665>-.25 G 3.076<6e63>
.15 G<617465>-3.076 E .576
<676f727920697320636f72726563742e205768656e2075736564207769746820746865>
-.15 F F2<2d76>3.077 E F0 .577<73776974636820616c6f6e652c2066>3.077 F
.577<6163746f72697a6573207468652073636f726520617320746865>-.1 F 1.398
<656d7069726963616c206469>144 662.4 R -.15<7665>-.25 G -.18<7267>.15 G
1.398<656e636520706c757320746865207368616e6e6f6e20656e74726f70>.18 F
2.698 -.65<792c206d>-.1 H 1.398<756c7469706c69656420627920636f6d706c65>
.65 F<78697479>-.15 E 3.898<2c69>-.65 G 3.897<6e74>-3.898 G 1.397
<686174206f72646572>-3.897 F 3.897<2e54>-.55 G<6865>-3.897 E F2<2d58>
3.897 E F0 .093<737769746368206973206e6f7420737570706f7274656420696e2061
6c6c20706f737369626c65206d6f64656c732c20616e6420646973706c61797320612070
657263656e74616765206f662022313031222069662069742063616e27>144 674.4 R
2.594<7462>-.18 G 2.594<6563>-2.594 G<616c2d>-2.594 E<63756c617465642e>
144 686.4 Q/F4 10.95/Times-Bold@0 SF<555341>72 703.2 Q<4745>-.602 E F0
2.411 -.8<546f2063>108 715.2 T .811<7265617465207477>.8 F 3.311<6f63>-.1
G<617465>-3.311 E .811<676f7279208c6c657320696e207468652063757272656e74
206469726563746f72792066726f6d207477>-.15 F<6f>-.1 E F3<4153434949>3.311
E F0<7465>3.06 E .81<7874208c6c6573206e616d6564204d61726b5f54>-.15 F -.1
<7761>-.8 G .81<696e2e74787420616e64>.1 F -.4<5769>108 727.2 S
<6c6c69616d5f5368616b>.4 E<657370656172652e747874207265737065637469>-.1
E -.15<7665>-.25 G<6c79>.15 E 2.5<2c74>-.65 G<7970653a>-2.5 E -1.11
<5665>72 768 S<7273696f6e20312e382e31>1.11 E<426179657369616e2054>
111.915 E -.15<6578>-.7 G 2.5<7443>.15 G<6c617373698c636174696f6e2054>
-2.5 E 157.465<6f6f6c732034>-.8 F 0 Cg EP
end
%%Trailer
cleartomark
countdictstack
exch sub { end } repeat
restore
%%EOF

%%EndDocument
 @endspecial eop end
%%Page: 28 28
TeXDict begin 28 27 bop 456 251 a Fn(28)1212 b(L.A.)22
b(BREYER)456 5216 y @beginspecial 72 @llx 72 @lly 540
@urx 802 @ury 5818 @rhi @setspecial
%%BeginDocument: dbaclman1_8_1_page5.eps
%!PS-Adobe-3.0 EPSF-3.0
%%BoundingBox: 72 72 540 802
% EPSF created by ps2eps 1.28
%%Creator: groff version 1.18.1
%%CreationDate: Thu Jul 29 16:14:12 2004
%%DocumentNeededResources: font Times-Roman
%%+ font Times-Bold
%%+ font Times-Italic
%%DocumentSuppliedResources: procset grops 1.18 1
%%PageOrder: Ascend
%%Orientation: Portrait
%%EndComments
%%BeginProlog
save
countdictstack
mark
newpath
/showpage {} def
%%EndProlog
%%Page 1 1
/setpacking where{
pop
currentpacking
true setpacking
}if
/grops 120 dict dup begin
/SC 32 def
/A/show load def
/B{0 SC 3 -1 roll widthshow}bind def
/C{0 exch ashow}bind def
/D{0 exch 0 SC 5 2 roll awidthshow}bind def
/E{0 rmoveto show}bind def
/F{0 rmoveto 0 SC 3 -1 roll widthshow}bind def
/G{0 rmoveto 0 exch ashow}bind def
/H{0 rmoveto 0 exch 0 SC 5 2 roll awidthshow}bind def
/I{0 exch rmoveto show}bind def
/J{0 exch rmoveto 0 SC 3 -1 roll widthshow}bind def
/K{0 exch rmoveto 0 exch ashow}bind def
/L{0 exch rmoveto 0 exch 0 SC 5 2 roll awidthshow}bind def
/M{rmoveto show}bind def
/N{rmoveto 0 SC 3 -1 roll widthshow}bind def
/O{rmoveto 0 exch ashow}bind def
/P{rmoveto 0 exch 0 SC 5 2 roll awidthshow}bind def
/Q{moveto show}bind def
/R{moveto 0 SC 3 -1 roll widthshow}bind def
/S{moveto 0 exch ashow}bind def
/T{moveto 0 exch 0 SC 5 2 roll awidthshow}bind def
/SF{
findfont exch
[exch dup 0 exch 0 exch neg 0 0]makefont
dup setfont
[exch/setfont cvx]cvx bind def
}bind def
/MF{
findfont
[5 2 roll
0 3 1 roll
neg 0 0]makefont
dup setfont
[exch/setfont cvx]cvx bind def
}bind def
/level0 0 def
/RES 0 def
/PL 0 def
/LS 0 def
/MANUAL{
statusdict begin/manualfeed true store end
}bind def
/PLG{
gsave newpath clippath pathbbox grestore
exch pop add exch pop
}bind def
/BP{
/level0 save def
1 setlinecap
1 setlinejoin
72 RES div dup scale
LS{
90 rotate
}{
0 PL translate
}ifelse
1 -1 scale
}bind def
/EP{
level0 restore
showpage
}bind def
/DA{
newpath arcn stroke
}bind def
/SN{
transform
.25 sub exch .25 sub exch
round .25 add exch round .25 add exch
itransform
}bind def
/DL{
SN
moveto
SN
lineto stroke
}bind def
/DC{
newpath 0 360 arc closepath
}bind def
/TM matrix def
/DE{
TM currentmatrix pop
translate scale newpath 0 0 .5 0 360 arc closepath
TM setmatrix
}bind def
/RC/rcurveto load def
/RL/rlineto load def
/ST/stroke load def
/MT/moveto load def
/CL/closepath load def
/Fr{
setrgbcolor fill
}bind def
/Fk{
setcmykcolor fill
}bind def
/Fg{
setgray fill
}bind def
/FL/fill load def
/LW/setlinewidth load def
/Cr/setrgbcolor load def
/Ck/setcmykcolor load def
/Cg/setgray load def
/RE{
findfont
dup maxlength 1 index/FontName known not{1 add}if dict begin
{
1 index/FID ne{def}{pop pop}ifelse
}forall
/Encoding exch def
dup/FontName exch def
currentdict end definefont pop
}bind def
/DEFS 0 def
/EBEGIN{
moveto
DEFS begin
}bind def
/EEND/end load def
/CNT 0 def
/level1 0 def
/PBEGIN{
/level1 save def
translate
div 3 1 roll div exch scale
neg exch neg exch translate
0 setgray
0 setlinecap
1 setlinewidth
0 setlinejoin
10 setmiterlimit
[]0 setdash
/setstrokeadjust where{
pop
false setstrokeadjust
}if
/setoverprint where{
pop
false setoverprint
}if
newpath
/CNT countdictstack def
userdict begin
/showpage{}def
}bind def
/PEND{
clear
countdictstack CNT sub{end}repeat
level1 restore
}bind def
end def
/setpacking where{
pop
setpacking
}if
grops begin/DEFS 1 dict def DEFS begin/u{.001 mul}bind def end/RES 72
def/PL 841.89 def/LS false def/ENC0[/asciicircum/asciitilde/Scaron
/Zcaron/scaron/zcaron/Ydieresis/trademark/quotesingle/Euro/.notdef
/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef
/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef
/.notdef/.notdef/.notdef/space/exclam/quotedbl/numbersign/dollar/percent
/ampersand/quoteright/parenleft/parenright/asterisk/plus/comma/hyphen
/period/slash/zero/one/two/three/four/five/six/seven/eight/nine/colon
/semicolon/less/equal/greater/question/at/A/B/C/D/E/F/G/H/I/J/K/L/M/N/O
/P/Q/R/S/T/U/V/W/X/Y/Z/bracketleft/backslash/bracketright/circumflex
/underscore/quoteleft/a/b/c/d/e/f/g/h/i/j/k/l/m/n/o/p/q/r/s/t/u/v/w/x/y
/z/braceleft/bar/braceright/tilde/.notdef/quotesinglbase/guillemotleft
/guillemotright/bullet/florin/fraction/perthousand/dagger/daggerdbl
/endash/emdash/ff/fi/fl/ffi/ffl/dotlessi/dotlessj/grave/hungarumlaut
/dotaccent/breve/caron/ring/ogonek/quotedblleft/quotedblright/oe/lslash
/quotedblbase/OE/Lslash/.notdef/exclamdown/cent/sterling/currency/yen
/brokenbar/section/dieresis/copyright/ordfeminine/guilsinglleft
/logicalnot/minus/registered/macron/degree/plusminus/twosuperior
/threesuperior/acute/mu/paragraph/periodcentered/cedilla/onesuperior
/ordmasculine/guilsinglright/onequarter/onehalf/threequarters
/questiondown/Agrave/Aacute/Acircumflex/Atilde/Adieresis/Aring/AE
/Ccedilla/Egrave/Eacute/Ecircumflex/Edieresis/Igrave/Iacute/Icircumflex
/Idieresis/Eth/Ntilde/Ograve/Oacute/Ocircumflex/Otilde/Odieresis
/multiply/Oslash/Ugrave/Uacute/Ucircumflex/Udieresis/Yacute/Thorn
/germandbls/agrave/aacute/acircumflex/atilde/adieresis/aring/ae/ccedilla
/egrave/eacute/ecircumflex/edieresis/igrave/iacute/icircumflex/idieresis
/eth/ntilde/ograve/oacute/ocircumflex/otilde/odieresis/divide/oslash
/ugrave/uacute/ucircumflex/udieresis/yacute/thorn/ydieresis]def
/Times-Italic@0 ENC0/Times-Italic RE/Times-Bold@0 ENC0/Times-Bold RE
/Times-Roman@0 ENC0/Times-Roman RE
BP
/F0 10/Times-Roman@0 SF<4442>72 48 Q -.4<4143>-.35 G 375.9
<4c283129204442>.4 F -.4<4143>-.35 G<4c283129>.4 E 2.5<2564>108 84 S
<6261636c202d6c207477>-2.5 E<61696e204d61726b5f54>-.1 E -.1<7761>-.8 G
<696e2e747874>.1 E 2.5<2564>108 96 S<6261636c202d6c207368616b>-2.5 E 2.5
<6557>-.1 G<696c6c69616d5f5368616b>-2.9 E<657370656172652e747874>-.1 E
<4e6f>108 112.8 Q 2.5<7779>-.25 G
<6f752063616e20636c61737369667920696e707574207465>-2.5 E
<78742c20666f722065>-.15 E<78616d706c653a>-.15 E 2.5<2565>108 129.6 S
<63686f2022686f>-2.5 E<77647922207c20646261636c202d76202d63207477>-.25 E
<61696e202d63207368616b>-.1 E<65>-.1 E<7477>108 141.6 Q<61696e>-.1 E 2.5
<2565>108 153.6 S<63686f2022746f206265206f72206e6f7420746f20626522207c20
646261636c202d76202d63207477>-2.5 E<61696e202d63207368616b>-.1 E<65>-.1
E<7368616b>108 165.6 Q<65>-.1 E .762<4e6f7465207468617420746865>108
182.4 R/F1 10/Times-Bold@0 SF<2d76>3.262 E F0 .762
<6f7074696f6e206973206e6563657373617279>3.262 F 3.262<2c6f>-.65 G
<7468657277697365>-3.262 E F1<646261636c>3.262 E F0 .762
<646f6573206e6f74207072696e7420616e>3.262 F .762
<797468696e672e205468652072657475726e2076>-.15 F .762
<616c7565206973203120696e20746865>-.25 F
<8c72737420636173652c203220696e20746865207365636f6e642e>108 194.4 Q .428
<537570706f73652061208c6c6520646f63756d656e742e74787420636f6e7461696e73
20456e676c697368207465>108 211.2 R .428<7874206c696e657320696e7465727370
65727365642077697468206e6f697365206c696e65732e2054>-.15 F 2.928<6f8c>-.8
G .428<6c746572206f757420746865206e6f697365>-2.928 F<6c696e65732066726f
6d2074686520456e676c697368206c696e65732c20617373756d696e6720796f75206861>
108 223.2 Q .3 -.15<76652061>-.2 H 2.5<6e65>.15 G
<78697374696e672063617465>-2.65 E<676f7279207368616b>-.15 E 2.5<6573>-.1
G<6179>-2.5 E 2.5<2c74>-.65 G<7970653a>-2.5 E 2.5<2564>108 240 S
<6261636c202d63207368616b>-2.5 E 2.5<652d>-.1 G 2.5<6673>-2.5 G<68616b>
-2.5 E 2.5<652d>-.1 G 2.5<5264>-2.5 G
<6f63756d656e742e747874203e20646f63756d656e742e7478745f656e67>-2.5 E 2.5
<2564>108 252 S<6261636c202d63207368616b>-2.5 E 2.5<652d>-.1 G 2.5<6672>
-2.5 G<616e646f6d202d5220646f63756d656e742e747874203e20646f63756d656e74
2e7478745f726e64>-2.5 E .157<4e6f7465207468617420746865207175616c697479
206f662074686520726573756c74732077696c6c2076>108 268.8 R .157
<61727920646570656e64696e67206f6e20686f>-.25 F 2.657<7777>-.25 G .157
<656c6c207468652063617465>-2.657 F .158<676f72696573207368616b>-.15 F
2.658<6561>-.1 G .158<6e642072616e646f6d2072657072652d>-2.658 F
<73656e74206561636820696e707574206c696e652e>108 280.8 Q<497420697320736f
6d6574696d65732075736566756c20746f207365652074686520706f73746572696f7220
70726f626162696c697469657320666f722065616368206c696e6520776974686f757420
8c6c746572696e673a>5 E 2.5<2564>108 297.6 S<6261636c202d63207368616b>
-2.5 E 2.5<652d>-.1 G 2.5<6673>-2.5 G<68616b>-2.5 E 2.5<652d>-.1 G<524e
20646f63756d656e742e747874203e20646f63756d656e742e7478745f70726f6273>
-2.5 E -1.1<596f>108 314.4 S 2.842<7563>1.1 G .342<616e206e6f>-2.842 F
2.842<7770>-.25 G .341<6f737470726f636573732074686520706f73746572696f72
2070726f626162696c697469657320666f722065616368206c696e65206f66207465>
-2.842 F .341<7874207769746820616e6f74686572207363726970742c20746f207265
706c696361746520616e>-.15 F<61726269747261727920426179657369616e20646563
6973696f6e2072756c65206f6620796f75722063686f6963652e>108 326.4 Q .388
<496e20746865207370656369616c2063617365206f662065>108 343.2 R .389
<786163746c79207477>-.15 F 2.889<6f63>-.1 G<617465>-2.889 E .389<676f72
6965732c20746865206f7074696d616c20426179657369616e206465636973696f6e2070
726f6365647572652063616e20626520696d706c656d656e746564>-.15 F .304
<666f7220646f63756d656e747320617320666f6c6c6f>108 355.2 R .304
<77733a206c6574>-.25 F/F2 10/Times-Italic@0 SF<7031>4.054 E F0 .304<6265
20746865207072696f722070726f626162696c69747920746861742074686520696e7075
74207465>2.804 F .304<787420697320636c617373698c6564206173>-.15 F F2
<63617465>2.803 E<676f727931>-.4 E F0 5.303<2e43>C<6f6e2d>-5.303 E
<73657175656e746c79>108 367.2 Q 2.616<2c74>-.65 G .117<6865207072696f72
2070726f626162696c697479206f6620636c617373696679696e67206173>-2.616 F F2
<63617465>2.817 E<676f727932>-.4 E F0 .117<69732031202d>2.637 F F2<7031>
2.617 E F0 5.117<2e4c>C<6574>-5.117 E F2<753132>2.697 E F0 .117
<62652074686520636f7374206f66206d6973636c617373696679696e672061>2.637 F
F2<63617465>108 379.2 Q<676f727931>-.4 E F0 .213<696e707574207465>2.713
F .213<78742061732062656c6f6e67696e6720746f>-.15 F F2<63617465>2.913 E
<676f727932>-.4 E F0 .213<616e6420766963652076>2.733 F .213
<6572736120666f72>-.15 F F2<753231>2.713 E F0 5.213<2e57>C 2.712<6561>
-6.013 G .212
<7373756d65207468657265206973206e6f20636f737420666f7220636c61732d>-2.712
F<73696679696e6720636f72726563746c79>108 391.2 Q 5<2e54>-.65 G
<68656e2074686520666f6c6c6f>-5 E<77696e6720636f6d6d616e6420696d706c656d
656e747320746865206f7074696d616c20426179657369616e206465636973696f6e3a>
-.25 E 2.5<2564>108 408 S<6261636c202d6e202d63>-2.5 E F2<63617465>2.7 E
<676f727931>-.4 E F0<2d63>2.5 E F2<63617465>2.7 E<676f727932>-.4 E F0
2.5<7c61>2.52 G<776b20277b206966282432202a>-2.65 E F2<7031>3.75 E F0<2a>
2.5 E F2<753132>2.58 E F0 2.5<3e24>2.52 G 2.5<342a28>-2.5 G 2.5<312d>
-2.5 G F2<7031>A F0 2.5<292a>C F2<753231>A F0 2.5<297b70>C
<72696e742024313b207d20656c7365207b>-2.5 E<7072696e742024333b207d207d27>
144 420 Q F1<646261636c>108 436.8 Q F0 .685<63616e20616c736f206265207573
656420696e20636f6e6a756e6374696f6e2077697468>3.185 F F1<7072>3.185 E
<6f636d61696c>-.18 E F0 .684<28312920746f20696d706c656d656e742061207369
6d706c6520426179657369616e20656d61696c20636c617373698c63612d>B 1.495<74
696f6e2073797374656d2e20417373756d65207468617420696e636f6d696e67206d6169
6c2073686f756c64206265206175746f6d61746963616c6c792064656c69>108 448.8 R
-.15<7665>-.25 G 1.496
<72656420746f206f6e65206f66207468726565206d61696c20666f6c64657273>.15 F
1.346<6c6f636174656420696e20244d41494c44495220616e64206e616d6564>108
460.8 R F2<776f726b>3.846 E F0<2c>.67 E F2<706572>3.846 E<736f6e616c>-.1
E F0 3.846<2c61>.51 G<6e64>-3.846 E F2<7370616d>3.846 E F0 6.346<2e49>
.32 G<6e697469616c6c79>-6.346 E 3.846<2c74>-.65 G 1.346
<68657365206d757374206265206372656174656420616e64208c6c6c6564>-3.846 F
.186<7769746820617070726f7072696174652073616d706c6520656d61696c732e>108
472.8 R<41>5.186 E F1<6372>2.686 E<6f6e746162>-.18 E F0 .187<283129208c
6c652063616e206265207573656420746f206c6561726e20746865207468726565206361
7465>B .187<676f72696573206f6e6365206120646179>-.15 F 2.687<2c65>-.65 G
<2e672e>-2.687 E<4341>108 489.6 Q<54533d24484f4d452f2e646261636c>-1.11 E
5<3530>108 501.6 S 2.5<2a2a2a64>-2.5 G
<6261636c202d5420656d61696c202d6c20244341>-2.5 E<54532f77>-1.11 E
<6f726b20244d41494c4449522f77>-.1 E<6f726b>-.1 E
<31302030202a202a202a20646261636c202d5420656d61696c202d6c20244341>108
513.6 Q<54532f706572736f6e616c20244d41494c4449522f706572736f6e616c>-1.11
E<31352030202a202a202a20646261636c202d5420656d61696c202d6c20244341>108
525.6 Q<54532f7370616d20244d41494c4449522f7370616d>-1.11 E 3.508 -.8
<546f2061>108 542.4 T 1.908<75746f6d61746963616c6c792064656c69>.8 F -.15
<7665>-.25 G 4.408<7265>.15 G 1.908<61636820696e636f6d696e6720656d61696c
20696e746f2074686520617070726f70726961746520666f6c646572>-4.408 F 4.407
<2c74>-.4 G 1.907<686520666f6c6c6f>-4.407 F<77696e67>-.25 E F1<7072>
4.407 E<6f636d61696c72>-.18 E<63>-.18 E F0<283529>A
<72656369706520667261676d656e7420636f756c6420626520757365643a>108 554.4
Q<4341>108 571.2 Q<54533d24484f4d452f2e646261636c>-1.11 E 2.5<2372>108
588 S<756e20746865207370616d20636c617373698c6572>-2.5 E<3a302063>108 600
Q -1.15 -1.2<59412059>108 612 T
<3d7c20646261636c202d765420656d61696c202d6320244341>1.2 E<54532f77>-1.11
E<6f726b202d6320244341>-.1 E<54532f706572736f6e616c202d6320244341>-1.11
E<54532f7370616d>-1.11 E 2.5<2373>108 628.8 S
<656e6420746f2074686520617070726f707269617465206d61696c626f78>-2.5 E
<3a303a>108 640.8 Q 2.5<2a3f74>108 652.8 S<657374202d6e20222459>-2.5 E
-1.05<4159>-1.2 G<22>1.05 E<244d41494c4449522f2459>108 664.8 Q -1.05
<4159>-1.2 G<3a303a>108 681.6 Q<24444546>108 693.6 Q -.55<4155>-.74 G
-.92<4c54>.55 G<536f6d6574696d65732c>108 710.4 Q F1<646261636c>2.816 E
F0 .317<77696c6c2073656e642074686520656d61696c20746f207468652077726f6e67
206d61696c626f782e20496e207468617420636173652c20746865206d6973636c617373
698c6564206d6573736167652073686f756c64>2.816 F .109<62652072656d6f>108
722.4 R -.15<7665>-.15 G 2.609<6466>.15 G .109<726f6d206974732077726f6e
672064657374696e6174696f6e20616e6420706c6163656420696e2074686520636f7272
656374206d61696c626f782e>-2.609 F .108
<4966206974206973206c65667420696e207468652077726f6e672063617465>5.108 F
<676f7279>-.15 E<2c>-.65 E -1.11<5665>72 768 S<7273696f6e20312e382e31>
1.11 E<426179657369616e2054>111.915 E -.15<6578>-.7 G 2.5<7443>.15 G
<6c617373698c636174696f6e2054>-2.5 E 157.465<6f6f6c732035>-.8 F 0 Cg EP
end
%%Trailer
cleartomark
countdictstack
exch sub { end } repeat
restore
%%EOF

%%EndDocument
 @endspecial eop end
%%Page: 29 29
TeXDict begin 29 28 bop 1428 251 a Fn(THE)30 b(DBA)n(CL)g(TEXT)f
(CLASSIFIER)906 b(29)456 5216 y @beginspecial 72 @llx
72 @lly 540 @urx 802 @ury 5818 @rhi @setspecial
%%BeginDocument: dbaclman1_8_1_page6.eps
%!PS-Adobe-3.0 EPSF-3.0
%%BoundingBox: 72 72 540 802
% EPSF created by ps2eps 1.28
%%Creator: groff version 1.18.1
%%CreationDate: Thu Jul 29 16:14:12 2004
%%DocumentNeededResources: font Times-Roman
%%+ font Times-Bold
%%+ font Times-Italic
%%DocumentSuppliedResources: procset grops 1.18 1
%%PageOrder: Ascend
%%Orientation: Portrait
%%EndComments
%%BeginProlog
save
countdictstack
mark
newpath
/showpage {} def
%%EndProlog
%%Page 1 1
/setpacking where{
pop
currentpacking
true setpacking
}if
/grops 120 dict dup begin
/SC 32 def
/A/show load def
/B{0 SC 3 -1 roll widthshow}bind def
/C{0 exch ashow}bind def
/D{0 exch 0 SC 5 2 roll awidthshow}bind def
/E{0 rmoveto show}bind def
/F{0 rmoveto 0 SC 3 -1 roll widthshow}bind def
/G{0 rmoveto 0 exch ashow}bind def
/H{0 rmoveto 0 exch 0 SC 5 2 roll awidthshow}bind def
/I{0 exch rmoveto show}bind def
/J{0 exch rmoveto 0 SC 3 -1 roll widthshow}bind def
/K{0 exch rmoveto 0 exch ashow}bind def
/L{0 exch rmoveto 0 exch 0 SC 5 2 roll awidthshow}bind def
/M{rmoveto show}bind def
/N{rmoveto 0 SC 3 -1 roll widthshow}bind def
/O{rmoveto 0 exch ashow}bind def
/P{rmoveto 0 exch 0 SC 5 2 roll awidthshow}bind def
/Q{moveto show}bind def
/R{moveto 0 SC 3 -1 roll widthshow}bind def
/S{moveto 0 exch ashow}bind def
/T{moveto 0 exch 0 SC 5 2 roll awidthshow}bind def
/SF{
findfont exch
[exch dup 0 exch 0 exch neg 0 0]makefont
dup setfont
[exch/setfont cvx]cvx bind def
}bind def
/MF{
findfont
[5 2 roll
0 3 1 roll
neg 0 0]makefont
dup setfont
[exch/setfont cvx]cvx bind def
}bind def
/level0 0 def
/RES 0 def
/PL 0 def
/LS 0 def
/MANUAL{
statusdict begin/manualfeed true store end
}bind def
/PLG{
gsave newpath clippath pathbbox grestore
exch pop add exch pop
}bind def
/BP{
/level0 save def
1 setlinecap
1 setlinejoin
72 RES div dup scale
LS{
90 rotate
}{
0 PL translate
}ifelse
1 -1 scale
}bind def
/EP{
level0 restore
showpage
}bind def
/DA{
newpath arcn stroke
}bind def
/SN{
transform
.25 sub exch .25 sub exch
round .25 add exch round .25 add exch
itransform
}bind def
/DL{
SN
moveto
SN
lineto stroke
}bind def
/DC{
newpath 0 360 arc closepath
}bind def
/TM matrix def
/DE{
TM currentmatrix pop
translate scale newpath 0 0 .5 0 360 arc closepath
TM setmatrix
}bind def
/RC/rcurveto load def
/RL/rlineto load def
/ST/stroke load def
/MT/moveto load def
/CL/closepath load def
/Fr{
setrgbcolor fill
}bind def
/Fk{
setcmykcolor fill
}bind def
/Fg{
setgray fill
}bind def
/FL/fill load def
/LW/setlinewidth load def
/Cr/setrgbcolor load def
/Ck/setcmykcolor load def
/Cg/setgray load def
/RE{
findfont
dup maxlength 1 index/FontName known not{1 add}if dict begin
{
1 index/FID ne{def}{pop pop}ifelse
}forall
/Encoding exch def
dup/FontName exch def
currentdict end definefont pop
}bind def
/DEFS 0 def
/EBEGIN{
moveto
DEFS begin
}bind def
/EEND/end load def
/CNT 0 def
/level1 0 def
/PBEGIN{
/level1 save def
translate
div 3 1 roll div exch scale
neg exch neg exch translate
0 setgray
0 setlinecap
1 setlinewidth
0 setlinejoin
10 setmiterlimit
[]0 setdash
/setstrokeadjust where{
pop
false setstrokeadjust
}if
/setoverprint where{
pop
false setoverprint
}if
newpath
/CNT countdictstack def
userdict begin
/showpage{}def
}bind def
/PEND{
clear
countdictstack CNT sub{end}repeat
level1 restore
}bind def
end def
/setpacking where{
pop
setpacking
}if
grops begin/DEFS 1 dict def DEFS begin/u{.001 mul}bind def end/RES 72
def/PL 841.89 def/LS false def/ENC0[/asciicircum/asciitilde/Scaron
/Zcaron/scaron/zcaron/Ydieresis/trademark/quotesingle/Euro/.notdef
/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef
/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef
/.notdef/.notdef/.notdef/space/exclam/quotedbl/numbersign/dollar/percent
/ampersand/quoteright/parenleft/parenright/asterisk/plus/comma/hyphen
/period/slash/zero/one/two/three/four/five/six/seven/eight/nine/colon
/semicolon/less/equal/greater/question/at/A/B/C/D/E/F/G/H/I/J/K/L/M/N/O
/P/Q/R/S/T/U/V/W/X/Y/Z/bracketleft/backslash/bracketright/circumflex
/underscore/quoteleft/a/b/c/d/e/f/g/h/i/j/k/l/m/n/o/p/q/r/s/t/u/v/w/x/y
/z/braceleft/bar/braceright/tilde/.notdef/quotesinglbase/guillemotleft
/guillemotright/bullet/florin/fraction/perthousand/dagger/daggerdbl
/endash/emdash/ff/fi/fl/ffi/ffl/dotlessi/dotlessj/grave/hungarumlaut
/dotaccent/breve/caron/ring/ogonek/quotedblleft/quotedblright/oe/lslash
/quotedblbase/OE/Lslash/.notdef/exclamdown/cent/sterling/currency/yen
/brokenbar/section/dieresis/copyright/ordfeminine/guilsinglleft
/logicalnot/minus/registered/macron/degree/plusminus/twosuperior
/threesuperior/acute/mu/paragraph/periodcentered/cedilla/onesuperior
/ordmasculine/guilsinglright/onequarter/onehalf/threequarters
/questiondown/Agrave/Aacute/Acircumflex/Atilde/Adieresis/Aring/AE
/Ccedilla/Egrave/Eacute/Ecircumflex/Edieresis/Igrave/Iacute/Icircumflex
/Idieresis/Eth/Ntilde/Ograve/Oacute/Ocircumflex/Otilde/Odieresis
/multiply/Oslash/Ugrave/Uacute/Ucircumflex/Udieresis/Yacute/Thorn
/germandbls/agrave/aacute/acircumflex/atilde/adieresis/aring/ae/ccedilla
/egrave/eacute/ecircumflex/edieresis/igrave/iacute/icircumflex/idieresis
/eth/ntilde/ograve/oacute/ocircumflex/otilde/odieresis/divide/oslash
/ugrave/uacute/ucircumflex/udieresis/yacute/thorn/ydieresis]def
/Times-Italic@0 ENC0/Times-Italic RE/Times-Bold@0 ENC0/Times-Bold RE
/Times-Roman@0 ENC0/Times-Roman RE
BP
/F0 10/Times-Roman@0 SF<4442>72 48 Q -.4<4143>-.35 G 375.9
<4c283129204442>.4 F -.4<4143>-.35 G<4c283129>.4 E/F1 10/Times-Bold@0 SF
<646261636c>108 84 Q F0<77696c6c206c6561726e207468652077726f6e6720636f72
70757320737461746973746963732e>2.5 E 1.185<54686520646566>108 100.8 R
1.185<61756c74207465>-.1 F 1.185<78742066656174757265732028746f6b>-.15 F
1.185<656e73292072656164206279>-.1 F F1<646261636c>3.685 E F0 1.185<6172
6520707572656c7920616c706861626574696320737472696e67732c207768696368206d
696e696d697a6573206d656d6f7279>3.685 F .49<726571756972656d656e74732062>
108 112.8 R .49<75742063616e20626520756e7265616c697374696320696e20736f6d
652063617365732e2054>-.2 F 2.989<6f63>-.8 G .489<6f6e737472756374206d6f
64656c73206261736564206f6e20616c7068616e756d6572696320746f6b>-2.989 F
.489<656e732c20757365>-.1 F<746865>108 124.8 Q F1<2d65>3.907 E F0 1.407
<7377697463682e205468652065>3.907 F 1.407<78616d706c652062656c6f>-.15 F
3.907<7761>-.25 G 1.407<6c736f207573657320746865206f7074696f6e616c>
-3.907 F F1<2d44>3.907 E F0 1.408<7377697463682c207768696368207072696e74
732061206c697374206f662061637475616c20746f6b>3.907 F<656e73>-.1 E
<666f756e6420696e2074686520646f63756d656e743a>108 136.8 Q 2.5<2564>108
153.6 S<6261636c202d6520616c6e756d202d44202d6c207477>-2.5 E
<61696e204d61726b5f54>-.1 E -.1<7761>-.8 G<696e2e747874207c206c657373>.1
E 1.543<497420697320616c736f20706f737369626c6520746f206f>108 170.4 R
-.15<7665>-.15 G 1.543<72726964652074686520646566>.15 F 1.543<61756c7420
666561747572652073656c656374696f6e206d6574686f64207573656420746f206c6561
726e207468652063617465>-.1 F 1.543<676f7279206d6f64656c206279>-.15 F
.255<6d65616e73206f66207265>108 182.4 R .255<67756c61722065>-.15 F .255
<787072657373696f6e732e2046>-.15 F .256<6f722065>-.15 F .256
<78616d706c652c2074686520666f6c6c6f>-.15 F .256
<77696e67206475706c6963617465732074686520646566>-.25 F .256
<61756c7420666561747572652073656c656374696f6e206d6574686f6420696e>-.1 F
<7468652043206c6f63616c652c207768696c65206265696e67206d75636820736c6f>
108 194.4 Q<7765723a>-.25 E 2.5<2564>108 211.2 S<6261636c202d6c207477>
-2.5 E<61696e202d6720275e285b5b3a616c7068613a5d5d2b2927202d6720275b5e5b
3a616c7068613a5d5d285b5b3a616c7068613a5d5d2b2927204d61726b5f54>-.1 E -.1
<7761>-.8 G<696e2e747874>.1 E 3.966<5468652063617465>108 228 R 3.966
<676f7279207477>-.15 F 3.966<61696e207768696368206973206f627461696e6564
20646570656e6473206f6e6c79206f6e2073696e676c6520616c70686162657469632077>
-.1 F 3.966<6f72647320696e20746865207465>-.1 F 3.966<7874208c6c65>-.15 F
<4d61726b5f54>108 240 Q -.1<7761>-.8 G .077<696e2e7478742028616e6420636f
6d70757465642064696772616d207374617469737469637320666f722070726564696374
696f6e292e>.1 F -.15<466f>5.078 G 2.578<726173>.15 G .078
<65636f6e642065>-2.578 F .078<78616d706c652c2074686520666f6c6c6f>-.15 F
.078<77696e6720636f6d2d>-.25 F 1.215<6d616e642062>108 252 R 1.215
<75696c6473206120736d6f6f74686564204d61726b>-.2 F -.15<6f76>-.1 G 1.214
<69616e202877>.15 F 1.214<6f72642062696772616d29206d6f64656c207768696368
20646570656e6473206f6e207061697273206f6620636f6e736563757469>-.1 F 1.514
-.15<76652077>-.25 H<6f726473>.05 E
<77697468696e2065616368206c696e65202862>108 264 Q<7574207061697273206361
6e6e6f74207374726164646c652061206c696e6520627265616b293a>-.2 E 2.5<2564>
108 280.8 S<6261636c202d6c207477>-2.5 E<61696e32202d672027285e7c5b5e5b3a
616c7068613a5d5d29285b5b3a616c7068613a5d5d2b297c7c3227202d67>-.1 E<2728
5e7c5b5e5b3a616c7068613a5d5d29285b5b3a616c7068613a5d5d2b295b5e5b3a616c70
68613a5d5d2b285b5b3a616c7068613a5d5d2b297c7c323327204d61726b5f54>144
292.8 Q -.1<7761>-.8 G<696e2e747874>.1 E .152<4d6f72652067656e6572616c2c
206c696e652062617365642c206e2d6772616d206d6f64656c73206f6620616c6c206f72
646572732063616e2062652062>108 309.6 R .151
<75696c7420696e20612073696d696c61722077>-.2 F<6179>-.1 E 5.151<2e54>-.65
G 2.651<6f63>-5.951 G .151<6f6e73747275637420706172616772617068>-2.651 F
1.084<6261736564206d6f64656c732c20796f752073686f756c64207265666f726d6174
2074686520696e70757420636f72706f72612077697468>108 321.6 R F1<61776b>
3.584 E F0 1.084<283129206f72>B F1<736564>3.585 E F0 1.085
<28312920746f206f627461696e206f6e652070617261677261706820706572>B 1.177
<6c696e652e204c696e652073697a65206973206c696d697465642062792061>108
333.6 R -.25<7661>-.2 G 1.176<696c61626c65206d656d6f7279>.25 F 3.676
<2c62>-.65 G 1.176<7574206e6f74652074686174207265>-3.876 F<6765>-.15 E
3.676<7870>-.15 G 1.176<6572666f726d616e63652077696c6c206465>-3.676 F
1.176<677261646520717569636b6c7920666f72>-.15 F<6c6f6e67206c696e65732e>
108 345.6 Q 1.644<48616e6479207469703a2043726561746520746865206869646465
6e206469726563746f72792024484f4d452f2e646261636c2c20616e6420736574204442>
108 362.4 R -.4<4143>-.35 G<4c5f50>.4 E -1.11<4154>-.92 G 1.644
<483d24484f4d452f2e646261636c20696e20796f7572>1.11 F<7368656c6c20696e69
7469616c697a6174696f6e207363726970742e205468656e20796f752063616e20726566
657220746f2063617465>108 374.4 Q
<676f7269657320776974686f75742077726974696e672066756c6c2070617468732e>
-.15 E/F2 10.95/Times-Bold@0 SF<454e564952>72 391.2 Q<4f4e4d454e54>-.329
E F0<4442>108 403.2 Q -.4<4143>-.35 G<4c5f50>.4 E -1.11<4154>-.92 G<48>
1.11 E 1.246<5768656e20746869732076>144 415.2 R 1.246
<61726961626c65206973207365742c206974732076>-.25 F 1.246
<616c75652069732070726570656e64656420746f2065>-.25 F -.15<7665>-.25 G
<7279>.15 E/F3 10/Times-Italic@0 SF<63617465>3.946 E<676f7279>-.4 E F0
1.246<8c6c656e616d6520776869636820646f65736e27>4.066 F 3.746<7473>-.18 G
<74617274>-3.746 E<77697468206120272f27206f72206120272e>144 427.2 Q
<272e>-.7 E F2<5349474e>72 444 Q<414c53>-.219 E F0 16.84<494e54204966>
108 456 R .082<74686973207369676e616c206973206361756768742c>2.581 F F1
<646261636c>2.582 E F0 .082<73696d706c792065>2.582 F .082
<7869747320776974686f757420646f696e6720616e>-.15 F 2.582<7963>-.15 G
.082<6c65616e7570206f72206f74686572206f7065726174696f6e732e205468697320
7369672d>-2.582 F<6e616c2063616e206f6674656e2062652073656e74206279207072
657373696e67204374726c2d43206f6e20746865206b>144 468 Q -.15<6579>-.1 G
<626f6172642e20536565>.15 E F1<73747479>2.5 E F0<2831292e>A<485550>108
484.8 Q 2.5<2c51>-1.11 G<554954>-2.6 E 2.5<2c54>-.74 G<45524d>-2.5 E
1.237
<4966206f6e65206f66207468657365207369676e616c73206973206361756768742c>
144 496.8 R F1<646261636c>3.737 E F0 1.237<73746f70732072656164696e6720
696e70757420616e6420636f6e74696e75657320697473206f7065726174696f6e206173
206966206e6f>3.737 F .999<6d6f726520696e7075742077>144 508.8 R .999
<61732061>-.1 F -.25<7661>-.2 G .999
<696c61626c652e205468697320697320612077>.25 F .999
<6179206f66207175697474696e6720677261636566756c6c79>-.1 F 3.5<2c62>-.65
G 1<7574206e6f7465207468617420696e206c6561726e696e67206d6f64652c2061>
-3.7 F<63617465>144 520.8 Q .437<676f7279208c6c652077696c6c206265207772
697474656e206261736564206f6e2074686520696e636f6d706c65746520696e7075742e
205468652051>-.15 F .436
<554954207369676e616c2063616e206f6674656e2062652073656e74206279>-.1 F
<7072657373696e67204374726c2d206f6e20746865206b>144 532.8 Q -.15<6579>
-.1 G<626f6172642e20536565>.15 E F1<73747479>2.5 E F0<2831292e>A 9.05
<55535231204966>108 549.6 R 1.363
<74686973207369676e616c206973206361756768742c>3.862 F F1<646261636c>
3.863 E F0 1.363<72656c6f616473207468652063757272656e742063617465>3.863
F 1.363<676f7269657320617420746865206561726c69657374206665617369626c6520
6f70706f7274756e697479>-.15 F<2e>-.65 E .402<54686973206973206e6f74206e
6f726d616c6c792075736566756c20617420616c6c2c2062>144 561.6 R .402<757420
6d6967687420626520696e207370656369616c2063617365732c20737563682061732069
6620746865>-.2 F F1<2d66>2.902 E F0 .402<73776974636820697320696e>2.902
F -.2<766f>-.4 G -.1<6b65>.2 G<64>.1 E<746f676574686572207769746820696e
7075742066726f6d2061206c6f6e672072756e6e696e6720706970652e>144 573.6 Q
F2<4e4f>72 590.4 Q<544553>-.438 E F1<646261636c>108 602.4 Q F0 .233
<67656e6572617465642063617465>2.733 F .234<676f7279208c6c65732061726520
696e2062696e61727920666f726d61742c20616e64206d6179206f72206d6179206e6f74
20626520706f727461626c6520746f2073797374656d73207573696e672061206469662d>
-.15 F .239<666572656e742062797465206f7264657220617263686974656374757265
20287468697320646570656e6473206f6e20686f>108 614.4 R<77>-.25 E F1
<646261636c>2.739 E F0 -.1<7761>2.739 G 2.739<7363>.1 G .239
<6f6d70696c6564292e20546865>-2.739 F F1<2d56>2.739 E F0 .238
<737769746368207072696e7473206f75742077686574686572>2.738 F<63617465>108
626.4 Q<676f726965732061726520706f727461626c652c206f7220656c736520796f75
2063616e206a7573742065>-.15 E<78706572696d656e742e>-.15 E F1<646261636c>
108 643.2 Q F0 1.332<646f6573206e6f74207265636f676e697a652066756e637469
6f6e616c6c792065717569>3.832 F -.25<7661>-.25 G 1.332<6c656e74207265>.25
F 1.332<67756c61722065>-.15 F 1.333<787072657373696f6e732c20616e6420696e
20746869732063617365206475706c6963617465206665617475726573>-.15 F
<77696c6c20626520636f756e746564207365>108 655.2 Q -.15<7665>-.25 G
<72616c2074696d65732e>.15 E -.4<5769>108 672 S .518<74682065>.4 F -.15
<7665>-.25 G .518<7279206c6561726e65642063617465>.15 F<676f7279>-.15 E
3.018<2c74>-.65 G .517<686520636f6d6d616e64206c696e65206f7074696f6e7320
746861742077657265207573656420617265207361>-3.018 F -.15<7665>-.2 G
3.017<642e205768656e>.15 F .517<636c617373696679696e672c206d616b>3.017 F
<65>-.1 E .771<7375726520746861742065>108 684 R -.15<7665>-.25 G .771
<72792072656c65>.15 F -.25<7661>-.25 G .771<6e742063617465>.25 F .771
<676f72792077>-.15 F .771<6173206c6561726e65642077697468207468652073616d
6520736574206f66206f7074696f6e7320287265>-.1 F<6765>-.15 E -.15<7865>
-.15 G 3.271<7361>.15 G .772<726520616c6c6f>-3.271 F .772
<77656420746f20646966>-.25 F<666572292c>-.25 E
<6f74686572776973652062656861>108 696 Q
<76696f757220697320756e64658c6e65642e>-.2 E 1.182<53706563698c6320646f63
756d656e746174696f6e2061626f7574207468652064657369676e206f66>108 712.8 R
F1<646261636c>3.681 E F0 1.181<616e642074686520737461746973746963616c20
6d6f64656c73207468617420697420757365732063616e20626520666f756e6420696e>
3.681 F 1.93<2f686f6d652f6c616972642f6c6f63616c2f73686172652f646261636c
2f646f632f646261636c2e7073202e2046>108 724.8 R 1.93
<6f722061206261736963206f>-.15 F -.15<7665>-.15 G<72766965>.15 E 4.43
<776f>-.25 G 4.43<6674>-4.43 G -.15<6578>-4.43 G 4.43<7463>.15 G 1.93
<6c617373698c636174696f6e207573696e67>-4.43 F F1<646261636c>4.43 E F0
4.43<2c73>C<6565>-4.43 E -1.11<5665>72 768 S<7273696f6e20312e382e31>1.11
E<426179657369616e2054>111.915 E -.15<6578>-.7 G 2.5<7443>.15 G
<6c617373698c636174696f6e2054>-2.5 E 157.465<6f6f6c732036>-.8 F 0 Cg EP
end
%%Trailer
cleartomark
countdictstack
exch sub { end } repeat
restore
%%EOF

%%EndDocument
 @endspecial eop end
%%Page: 30 30
TeXDict begin 30 29 bop 456 251 a Fn(30)1212 b(L.A.)22
b(BREYER)456 5216 y @beginspecial 72 @llx 72 @lly 540
@urx 802 @ury 5818 @rhi @setspecial
%%BeginDocument: dbaclman1_8_1_page7.eps
%!PS-Adobe-3.0 EPSF-3.0
%%BoundingBox: 72 72 540 802
% EPSF created by ps2eps 1.28
%%Creator: groff version 1.18.1
%%CreationDate: Thu Jul 29 16:14:12 2004
%%DocumentNeededResources: font Times-Roman
%%+ font Times-Bold
%%+ font Times-Italic
%%DocumentSuppliedResources: procset grops 1.18 1
%%PageOrder: Ascend
%%Orientation: Portrait
%%EndComments
%%BeginProlog
save
countdictstack
mark
newpath
/showpage {} def
%%EndProlog
%%Page 1 1
/setpacking where{
pop
currentpacking
true setpacking
}if
/grops 120 dict dup begin
/SC 32 def
/A/show load def
/B{0 SC 3 -1 roll widthshow}bind def
/C{0 exch ashow}bind def
/D{0 exch 0 SC 5 2 roll awidthshow}bind def
/E{0 rmoveto show}bind def
/F{0 rmoveto 0 SC 3 -1 roll widthshow}bind def
/G{0 rmoveto 0 exch ashow}bind def
/H{0 rmoveto 0 exch 0 SC 5 2 roll awidthshow}bind def
/I{0 exch rmoveto show}bind def
/J{0 exch rmoveto 0 SC 3 -1 roll widthshow}bind def
/K{0 exch rmoveto 0 exch ashow}bind def
/L{0 exch rmoveto 0 exch 0 SC 5 2 roll awidthshow}bind def
/M{rmoveto show}bind def
/N{rmoveto 0 SC 3 -1 roll widthshow}bind def
/O{rmoveto 0 exch ashow}bind def
/P{rmoveto 0 exch 0 SC 5 2 roll awidthshow}bind def
/Q{moveto show}bind def
/R{moveto 0 SC 3 -1 roll widthshow}bind def
/S{moveto 0 exch ashow}bind def
/T{moveto 0 exch 0 SC 5 2 roll awidthshow}bind def
/SF{
findfont exch
[exch dup 0 exch 0 exch neg 0 0]makefont
dup setfont
[exch/setfont cvx]cvx bind def
}bind def
/MF{
findfont
[5 2 roll
0 3 1 roll
neg 0 0]makefont
dup setfont
[exch/setfont cvx]cvx bind def
}bind def
/level0 0 def
/RES 0 def
/PL 0 def
/LS 0 def
/MANUAL{
statusdict begin/manualfeed true store end
}bind def
/PLG{
gsave newpath clippath pathbbox grestore
exch pop add exch pop
}bind def
/BP{
/level0 save def
1 setlinecap
1 setlinejoin
72 RES div dup scale
LS{
90 rotate
}{
0 PL translate
}ifelse
1 -1 scale
}bind def
/EP{
level0 restore
showpage
}bind def
/DA{
newpath arcn stroke
}bind def
/SN{
transform
.25 sub exch .25 sub exch
round .25 add exch round .25 add exch
itransform
}bind def
/DL{
SN
moveto
SN
lineto stroke
}bind def
/DC{
newpath 0 360 arc closepath
}bind def
/TM matrix def
/DE{
TM currentmatrix pop
translate scale newpath 0 0 .5 0 360 arc closepath
TM setmatrix
}bind def
/RC/rcurveto load def
/RL/rlineto load def
/ST/stroke load def
/MT/moveto load def
/CL/closepath load def
/Fr{
setrgbcolor fill
}bind def
/Fk{
setcmykcolor fill
}bind def
/Fg{
setgray fill
}bind def
/FL/fill load def
/LW/setlinewidth load def
/Cr/setrgbcolor load def
/Ck/setcmykcolor load def
/Cg/setgray load def
/RE{
findfont
dup maxlength 1 index/FontName known not{1 add}if dict begin
{
1 index/FID ne{def}{pop pop}ifelse
}forall
/Encoding exch def
dup/FontName exch def
currentdict end definefont pop
}bind def
/DEFS 0 def
/EBEGIN{
moveto
DEFS begin
}bind def
/EEND/end load def
/CNT 0 def
/level1 0 def
/PBEGIN{
/level1 save def
translate
div 3 1 roll div exch scale
neg exch neg exch translate
0 setgray
0 setlinecap
1 setlinewidth
0 setlinejoin
10 setmiterlimit
[]0 setdash
/setstrokeadjust where{
pop
false setstrokeadjust
}if
/setoverprint where{
pop
false setoverprint
}if
newpath
/CNT countdictstack def
userdict begin
/showpage{}def
}bind def
/PEND{
clear
countdictstack CNT sub{end}repeat
level1 restore
}bind def
end def
/setpacking where{
pop
setpacking
}if
grops begin/DEFS 1 dict def DEFS begin/u{.001 mul}bind def end/RES 72
def/PL 841.89 def/LS false def/ENC0[/asciicircum/asciitilde/Scaron
/Zcaron/scaron/zcaron/Ydieresis/trademark/quotesingle/Euro/.notdef
/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef
/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef
/.notdef/.notdef/.notdef/space/exclam/quotedbl/numbersign/dollar/percent
/ampersand/quoteright/parenleft/parenright/asterisk/plus/comma/hyphen
/period/slash/zero/one/two/three/four/five/six/seven/eight/nine/colon
/semicolon/less/equal/greater/question/at/A/B/C/D/E/F/G/H/I/J/K/L/M/N/O
/P/Q/R/S/T/U/V/W/X/Y/Z/bracketleft/backslash/bracketright/circumflex
/underscore/quoteleft/a/b/c/d/e/f/g/h/i/j/k/l/m/n/o/p/q/r/s/t/u/v/w/x/y
/z/braceleft/bar/braceright/tilde/.notdef/quotesinglbase/guillemotleft
/guillemotright/bullet/florin/fraction/perthousand/dagger/daggerdbl
/endash/emdash/ff/fi/fl/ffi/ffl/dotlessi/dotlessj/grave/hungarumlaut
/dotaccent/breve/caron/ring/ogonek/quotedblleft/quotedblright/oe/lslash
/quotedblbase/OE/Lslash/.notdef/exclamdown/cent/sterling/currency/yen
/brokenbar/section/dieresis/copyright/ordfeminine/guilsinglleft
/logicalnot/minus/registered/macron/degree/plusminus/twosuperior
/threesuperior/acute/mu/paragraph/periodcentered/cedilla/onesuperior
/ordmasculine/guilsinglright/onequarter/onehalf/threequarters
/questiondown/Agrave/Aacute/Acircumflex/Atilde/Adieresis/Aring/AE
/Ccedilla/Egrave/Eacute/Ecircumflex/Edieresis/Igrave/Iacute/Icircumflex
/Idieresis/Eth/Ntilde/Ograve/Oacute/Ocircumflex/Otilde/Odieresis
/multiply/Oslash/Ugrave/Uacute/Ucircumflex/Udieresis/Yacute/Thorn
/germandbls/agrave/aacute/acircumflex/atilde/adieresis/aring/ae/ccedilla
/egrave/eacute/ecircumflex/edieresis/igrave/iacute/icircumflex/idieresis
/eth/ntilde/ograve/oacute/ocircumflex/otilde/odieresis/divide/oslash
/ugrave/uacute/ucircumflex/udieresis/yacute/thorn/ydieresis]def
/Times-Italic@0 ENC0/Times-Italic RE/Times-Bold@0 ENC0/Times-Bold RE
/Times-Roman@0 ENC0/Times-Roman RE
BP
/F0 10/Times-Roman@0 SF<4442>72 48 Q -.4<4143>-.35 G 375.9
<4c283129204442>.4 F -.4<4143>-.35 G<4c283129>.4 E 2.395<2f686f6d652f6c
616972642f6c6f63616c2f73686172652f646261636c2f646f632f7475746f7269616c2e
68746d6c202e204120636f6d70616e696f6e207475746f7269616c206765617265642074
6f>108 84 R -.1<7761>-.25 G 2.394
<72647320656d61696c208c6c746572696e67206973>.1 F<2f686f6d652f6c61697264
2f6c6f63616c2f73686172652f646261636c2f646f632f656d61696c2e68746d6c202e>
108 96 Q .337<496620796f7520676574206d616e>108 112.8 R 2.837<7964>-.15 G
.337<69676974697a6174696f6e2077>-2.837 F .338<61726e696e67732c207468656e
20796f752061726520747279696e6720746f206c6561726e20746f6f206d756368206461
7461206174206f6e63652c206f7220796f7572206d6f64656c206973>-.1 F .708
<746f6f20636f6d706c65>108 124.8 R<782e>-.15 E/F1 10/Times-Bold@0 SF
<646261636c>5.708 E F0 .708<697320636f6d70696c656420746f207361>3.208 F
1.008 -.15<7665206d>-.2 H .707
<656d6f7279206279206469676974697a696e67208c6e616c20776569676874732c2062>
.15 F .707<757420796f752063616e2064697361626c65206469676974697a612d>-.2
F<74696f6e2062792065646974696e6720646261636c2e6820616e64207265636f6d7069
6c696e672e>108 136.8 Q F1<646261636c>108 153.6 Q F0<6f66>3.111 E .611
<66657273207365>-.25 F -.15<7665>-.25 G .611<72616c2062>.15 F .611
<75696c742d696e20746f6b>-.2 F .612<656e697a6572732028736565>-.1 F F1
<2d65>3.112 E F0 .612<737769746368292077697468206d6f726520746f20636f6d65
20696e206675747572652076>3.112 F .612
<657273696f6e732c2061732074686520617574686f72>-.15 F<696e>108 165.6 Q
-.15<7665>-.4 G .959<6e7473207468656d2e>.15 F .958
<5768696c652074686520646566>5.959 F .958<61756c7420746f6b>-.1 F .958
<656e697a6572206d61792065>-.1 F -.2<766f>-.25 G<6c76>.2 E .958
<652c206e6f20746f6b>-.15 F .958<656e697a65722073686f756c642065>-.1 F
-.15<7665>-.25 G 3.458<7262>.15 G 3.458<6572>-3.458 G<656d6f>-3.458 E
-.15<7665>-.15 G .958<642c20736f207468617420796f75>.15 F<63616e20616c>
108 177.6 Q -.1<7761>-.1 G<79732073696d756c61746520707265>.1 E
<76696f7573>-.25 E F1<646261636c>2.5 E F0<62656861>2.5 E
<76696f7572207375626a65637420746f2062>-.2 E<7567208c78>-.2 E
<657320616e64206172636869746563747572616c206368616e6765732e>-.15 E .335<
54686520636f6e8c64656e636520657374696d61746573206f627461696e656420746872
6f75676820746865>108 194.4 R F1<2d58>2.835 E F0 .335<737769746368206172
6520756e646572657374696d617465732c20696520617265206d6f726520636f6e736572
76>2.835 F<617469>-.25 E .635 -.15<76652074>-.25 H<68616e>.15 E<746865>
108 206.4 Q 2.5<7973>-.15 G<686f756c642062652e>-2.5 E/F2 10.95
/Times-Bold@0 SF -.11<4255>72 223.2 S<4753>.11 E F0<2259>108 235.2 Q
4.106<616b>-1 G<6e6f>-4.106 E 2.906 -.65<772c2073>-.25 H 1.606
<6f6d652064617920736369656e74697374732061726520676f6e6e6120696e>.65 F
-.15<7665>-.4 G 1.606<6e7420736f6d657468696e6720746861742077696c6c206f75
74736d6172742061207261626269742e222028526f626f74205261626269742c>.15 F
<3139353329>108 247.2 Q F2<534f55524345>72 264 Q F0
<54686520736f7572636520636f646520666f7220746865206c61746573742076>108
276 Q<657273696f6e206f6620746869732070726f6772616d2069732061>-.15 E -.25
<7661>-.2 G<696c61626c652061742074686520666f6c6c6f>.25 E
<77696e67206c6f636174696f6e733a>-.25 E<687474703a2f2f777777>108 292.8 Q
<2e6c627265>-.65 E<796572>-.15 E<2e636f6d2f67706c2e68746d6c>-.55 E
<687474703a2f2f646261636c2e736f75726365666f72>108 304.8 Q<67652e6e6574>
-.18 E F2 -.548<4155>72 321.6 S<54484f52>.548 E F0
<4c6169726420412e20427265>108 333.6 Q<796572203c6c61697264406c627265>
-.15 E<796572>-.15 E<2e636f6d3e>-.55 E F2<53454520414c534f>72 350.4 Q F1
<61776b>108 362.4 Q F0<2831292c>A F1<626179>5.301 E<65736f6c>-.1 E F0
<2831292c>A F1<6372>5.301 E<6f6e746162>-.18 E F0<2831292c>A F1<6c657373>
5.301 E F0<2831292c>A F1<6d61696c6372>5.301 E<6f7373>-.18 E F0<2831292c>
A F1<6d61696c66>5.301 E<6f6f74>-.25 E F0<2831292c>A F1
<6d61696c696e7370656374>5.301 E F0<2831292c>A F1<6d61696c746f65>5.302 E
F0<2831292c>A F1<7072>5.302 E<6f632d>-.18 E<6d61696c6578>108 374.4 Q F0
<2835292c>A F1 -.18<7265>2.5 G<676578>.18 E F0<2837292c>A F1<73747479>
2.5 E F0<2831292c>A F1<736564>2.5 E F0<283129>A -1.11<5665>72 768 S
<7273696f6e20312e382e31>1.11 E<426179657369616e2054>111.915 E -.15<6578>
-.7 G 2.5<7443>.15 G<6c617373698c636174696f6e2054>-2.5 E 157.465
<6f6f6c732037>-.8 F 0 Cg EP
end
%%Trailer
cleartomark
countdictstack
exch sub { end } repeat
restore
%%EOF

%%EndDocument
 @endspecial eop end
%%Trailer

userdict /end-hook known{end-hook}if
%%EOF