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%!PS-Adobe-3.0%%Creator: Windows PSCRIPT%%Title: Microsoft Word - PRES2.DOC%%BoundingBox: 18 9 593 784%%DocumentNeededResources: (atend)%%DocumentSuppliedResources: (atend)%%Pages: (atend)%%BeginResource: procset Win35Dict 3 1/Win35Dict 290 dict def Win35Dict begin/bd{bind def}bind def/in{72mul}bd/ed{exch def}bd/ld{load def}bd/tr/translate ld/gs/gsave ld/gr/grestore ld/M/moveto ld/L/lineto ld/rmt/rmoveto ld/rlt/rlineto ld/rct/rcurveto ld/st/stroke ld/n/newpath ld/sm/setmatrix ld/cm/currentmatrixld/cp/closepath ld/ARC/arcn ld/TR{65536 div}bd/lj/setlinejoin ld/lc/setlinecap ld/ml/setmiterlimit ld/sl/setlinewidth ld/scignore falsedef/sc{scignore{pop pop pop}{0 index 2 index eq 2 index 4 index eqand{pop pop 255 div setgray}{3{255 div 3 1 roll}repeat setrgbcolor}ifelse}ifelse}bd/FC{bR bG bB sc}bd/fC{/bB ed/bG ed/bR ed}bd/HC{hR hG hB sc}bd/hC{/hB ed/hG ed/hR ed}bd/PC{pR pG pB sc}bd/pC{/pB ed/pG ed/pR ed}bd/sMmatrix def/PenW 1 def/iPen 5 def/mxF matrix def/mxE matrix def/mxUEmatrix def/mxUF matrix def/fBE false def/iDevRes 72 0 matrix defaultmatrixdtransform dup mul exch dup mul add sqrt def/fPP false def/SS{fPP{/SV save def}{gs}ifelse}bd/RS{fPP{SV restore}{gr}ifelse}bd/EJ{gsaveshowpage grestore}bd/#C{userdict begin/#copies ed end}bd/FEbuf 2 stringdef/FEglyph(G  )def/FE{1 exch{dup 16 FEbuf cvrs FEglyph exch 1 exchputinterval 1 index exch FEglyph cvn put}for}bd/SM{/iRes ed/cyP ed/cxPg ed/cyM ed/cxM ed 72 100 div dup scale dup 0 ne{90 eq{cyM exch0 eq{cxM exch tr -90 rotate -1 1 scale}{cxM cxPg add exch tr +90 rotate}ifelse}{cyPcyM sub exch 0 ne{cxM exch tr -90 rotate}{cxM cxPg add exch tr -90rotate 1 -1 scale}ifelse}ifelse}{pop cyP cyM sub exch 0 ne{cxM cxPgadd exch tr 180 rotate}{cxM exch tr 1 -1 scale}ifelse}ifelse 100 iResdiv dup scale 0 0 transform .25 add round .25 sub exch .25 add round.25 sub exch itransform translate}bd/SJ{1 index 0 eq{pop pop/fBE falsedef}{1 index/Break ed div/dxBreak ed/fBE true def}ifelse}bd/ANSIVec[16#0/grave 16#1/acute 16#2/circumflex 16#3/tilde 16#4/macron 16#5/breve16#6/dotaccent 16#7/dieresis 16#8/ring 16#9/cedilla 16#A/hungarumlaut16#B/ogonek 16#C/caron 16#D/dotlessi 16#27/quotesingle 16#60/grave16#7C/bar 16#82/quotesinglbase 16#83/florin 16#84/quotedblbase 16#85/ellipsis 16#86/dagger 16#87/daggerdbl 16#89/perthousand 16#8A/Scaron16#8B/guilsinglleft 16#8C/OE 16#91/quoteleft 16#92/quoteright 16#93/quotedblleft 16#94/quotedblright 16#95/bullet 16#96/endash 16#97/emdash 16#99/trademark 16#9A/scaron 16#9B/guilsinglright 16#9C/oe16#9F/Ydieresis 16#A0/space 16#A4/currency 16#A6/brokenbar 16#A7/section16#A8/dieresis 16#A9/copyright 16#AA/ordfeminine 16#AB/guillemotleft16#AC/logicalnot 16#AD/hyphen 16#AE/registered 16#AF/macron 16#B0/degree16#B1/plusminus 16#B2/twosuperior 16#B3/threesuperior 16#B4/acute 16#B5/mu 16#B6/paragraph 16#B7/periodcentered 16#B8/cedilla 16#B9/onesuperior16#BA/ordmasculine 16#BB/guillemotright 16#BC/onequarter 16#BD/onehalf16#BE/threequarters 16#BF/questiondown 16#C0/Agrave 16#C1/Aacute 16#C2/Acircumflex 16#C3/Atilde 16#C4/Adieresis 16#C5/Aring 16#C6/AE 16#C7/Ccedilla 16#C8/Egrave 16#C9/Eacute 16#CA/Ecircumflex 16#CB/Edieresis16#CC/Igrave 16#CD/Iacute 16#CE/Icircumflex 16#CF/Idieresis 16#D0/Eth16#D1/Ntilde 16#D2/Ograve 16#D3/Oacute 16#D4/Ocircumflex 16#D5/Otilde16#D6/Odieresis 16#D7/multiply 16#D8/Oslash 16#D9/Ugrave 16#DA/Uacute16#DB/Ucircumflex 16#DC/Udieresis 16#DD/Yacute 16#DE/Thorn 16#DF/germandbls16#E0/agrave 16#E1/aacute 16#E2/acircumflex 16#E3/atilde 16#E4/adieresis16#E5/aring 16#E6/ae 16#E7/ccedilla 16#E8/egrave 16#E9/eacute 16#EA/ecircumflex 16#EB/edieresis 16#EC/igrave 16#ED/iacute 16#EE/icircumflex16#EF/idieresis 16#F0/eth 16#F1/ntilde 16#F2/ograve 16#F3/oacute 16#F4/ocircumflex 16#F5/otilde 16#F6/odieresis 16#F7/divide 16#F8/oslash16#F9/ugrave 16#FA/uacute 16#FB/ucircumflex 16#FC/udieresis 16#FD/yacute16#FE/thorn 16#FF/ydieresis ] def/reencdict 12 dict def/IsChar{basefontdict/CharStrings get exch known}bd/MapCh{dup IsChar not{pop/bullet}ifnewfont/Encoding get 3 1 roll put}bd/MapDegree{16#b0/degree IsChar{/degree}{/ring}ifelse MapCh}bd/MapBB{16#a6/brokenbar IsChar{/brokenbar}{/bar}ifelse MapCh}bd/ANSIFont{reencdict begin/newfontname ed/basefontnameed FontDirectory newfontname known not{/basefontdict basefontname findfontdef/newfont basefontdict maxlength dict def basefontdict{exch dup/FIDne{dup/Encoding eq{exch dup length array copy newfont 3 1 roll put}{exchnewfont 3 1 roll put}ifelse}{pop pop}ifelse}forall newfont/FontNamenewfontname put 127 1 159{newfont/Encoding get exch/bullet put}forANSIVec aload pop ANSIVec length 2 idiv{MapCh}repeat MapDegree MapBBnewfontname newfont definefont pop}if newfontname end}bd/SB{FC/ULlened/str ed str length fBE not{dup 1 gt{1 sub}if}if/cbStr ed/dxGdi ed/y0 ed/x0 ed str stringwidth dup 0 ne{/y1 ed/x1 ed y1 y1 mul x1 x1mul add sqrt dxGdi exch div 1 sub dup x1 mul cbStr div exch y1 mulcbStr div}{exch abs neg dxGdi add cbStr div exch}ifelse/dyExtra ed/dxExtra ed x0 y0 M fBE{dxBreak 0 BCh dxExtra dyExtra str awidthshow}{dxExtradyExtra str ashow}ifelse fUL{x0 y0 M dxUL dyUL rmt ULlen fBE{Breakadd}if 0 mxUE transform gs rlt cyUL sl [] 0 setdash st gr}if fSO{x0y0 M dxSO dySO rmt ULlen fBE{Break add}if 0 mxUE transform gs rlt cyULsl [] 0 setdash st gr}if n/fBE false def}bd/font{/name ed/Ascent ed0 ne/fT3 ed 0 ne/fSO ed 0 ne/fUL ed/Sy ed/Sx ed 10.0 div/ori ed -10.0div/esc ed/BCh ed name findfont/xAscent 0 def/yAscent Ascent def/ULescesc def ULesc mxUE rotate pop fT3{/esc 0 def xAscent yAscent mxUE transform/yAscent ed/xAscent ed}if [Sx 0 0 Sy neg xAscent yAscent] esc mxErotate mxF concatmatrix makefont setfont [Sx 0 0 Sy neg 0 Ascent] mxUEmxUF concatmatrix pop fUL{currentfont dup/FontInfo get/UnderlinePositionknown not{pop/Courier findfont}if/FontInfo get/UnderlinePosition get1000 div 0 exch mxUF transform/dyUL ed/dxUL ed}if fSO{0 .3 mxUF transform/dySO ed/dxSO ed}if fUL fSO or{currentfont dup/FontInfo get/UnderlineThicknessknown not{pop/Courier findfont}if/FontInfo get/UnderlineThickness get1000 div Sy mul/cyUL ed}if}bd/min{2 copy gt{exch}if pop}bd/max{2 copylt{exch}if pop}bd/CP{/ft ed{{ft 0 eq{clip}{eoclip}ifelse}stopped{currentflat1 add setflat}{exit}ifelse}loop}bd/patfont 10 dict def patfont begin/FontType 3 def/FontMatrix [1 0 0 -1 0 0] def/FontBBox [0 0 16 16]def/Encoding StandardEncoding def/BuildChar{pop pop 16 0 0 0 16 16setcachedevice 16 16 false [1 0 0 1 .25 .25]{pat}imagemask}bd end/p{/pat 32 string def{}forall 0 1 7{dup 2 mul pat exch 3 index put dup2 mul 1 add pat exch 3 index put dup 2 mul 16 add pat exch 3 indexput 2 mul 17 add pat exch 2 index put pop}for}bd/pfill{/PatFont patfontdefinefont setfont/ch(AAAA)def X0 64 X1{Y1 -16 Y0{1 index exch M chshow}for pop}for}bd/vert{X0 w X1{dup Y0 M Y1 L st}for}bd/horz{Y0 wY1{dup X0 exch M X1 exch L st}for}bd/fdiag{X0 w X1{Y0 M X1 X0 sub duprlt st}for Y0 w Y1{X0 exch M Y1 Y0 sub dup rlt st}for}bd/bdiag{X0 wX1{Y1 M X1 X0 sub dup neg rlt st}for Y0 w Y1{X0 exch M Y1 Y0 sub dupneg rlt st}for}bd/AU{1 add cvi 15 or}bd/AD{1 sub cvi -16 and}bd/SHR{pathbboxAU/Y1 ed AU/X1 ed AD/Y0 ed AD/X0 ed}bd/hfill{/w iRes 37.5 div rounddef 0.1 sl [] 0 setdash n dup 0 eq{horz}if dup 1 eq{vert}if dup 2 eq{fdiag}ifdup 3 eq{bdiag}if dup 4 eq{horz vert}if 5 eq{fdiag bdiag}if}bd/F{/fted fm 256 and 0 ne{gs FC ft 0 eq{fill}{eofill}ifelse gr}if fm 1536and 0 ne{SHR gs HC ft CP fm 1024 and 0 ne{/Tmp save def pfill Tmp restore}{fm15 and hfill}ifelse gr}if}bd/S{PenW sl PC st}bd/m matrix def/GW{iRes12 div PenW add cvi}bd/DoW{iRes 50 div PenW add cvi}bd/DW{iRes 8 divPenW add cvi}bd/SP{/PenW ed/iPen ed iPen 0 eq iPen 6 eq or{[] 0 setdash}ifiPen 1 eq{[DW GW] 0 setdash}if iPen 2 eq{[DoW GW] 0 setdash}if iPen3 eq{[DW GW DoW GW] 0 setdash}if iPen 4 eq{[DW GW DoW GW DoW GW] 0setdash}if}bd/E{m cm pop tr scale 1 0 moveto 0 0 1 0 360 arc cp m sm}bd/AG{/sy ed/sx ed sx div 4 1 roll sy div 4 1 roll sx div 4 1 roll sydiv 4 1 roll atan/a2 ed atan/a1 ed sx sy scale a1 a2 ARC}def/A{m cmpop tr AG m sm}def/P{m cm pop tr 0 0 M AG cp m sm}def/RRect{n 4 copyM 3 1 roll exch L 4 2 roll L L cp}bd/RRCC{/r ed/y1 ed/x1 ed/y0 ed/x0ed x0 x1 add 2 div y0 M x1 y0 x1 y1 r arcto 4{pop}repeat x1 y1 x0 y1r arcto 4{pop}repeat x0 y1 x0 y0 r arcto 4{pop}repeat x0 y0 x1 y0 rarcto 4{pop}repeat cp}bd/RR{2 copy 0 eq exch 0 eq or{pop pop RRect}{2copy eq{pop RRCC}{m cm pop/y2 ed/x2 ed/ys y2 x2 div 1 max def/xs x2y2 div 1 max def/y1 exch ys div def/x1 exch xs div def/y0 exch ys divdef/x0 exch xs div def/r2 x2 y2 min def xs ys scale x0 x1 add 2 divy0 M x1 y0 x1 y1 r2 arcto 4{pop}repeat x1 y1 x0 y1 r2 arcto 4{pop}repeatx0 y1 x0 y0 r2 arcto 4{pop}repeat x0 y0 x1 y0 r2 arcto 4{pop}repeatm sm cp}ifelse}ifelse}bd/PP{{rlt}repeat}bd/OB{gs 0 ne{7 3 roll/y ed/x ed x y translate ULesc rotate x neg y neg translate x y 7 -3 roll}ifsc B fill gr}bd/B{M/dy ed/dx ed dx 0 rlt 0 dy rlt dx neg 0 rlt cp}bd/CB{B clip n}bd/ErrHandler{errordict dup maxlength exch length gtdup{errordict begin}if/errhelpdict 12 dict def errhelpdict begin/stackunderflow(operand stack underflow)def/undefined(this name is not defined in a dictionary)def/VMerror(you have used up all the printer's memory)def/typecheck(operator was expecting a different type of operand)def/ioerror(input/output error occured)def end{end}if errordict begin/handleerror{$error begin newerror{/newerror false def showpage 7272 scale/x .25 def/y 9.6 def/Helvetica findfont .2 scalefont setfontx y moveto(Offending Command = )show/command load{dup type/stringtypene{(max err string)cvs}if show}exec/y y .2 sub def x y moveto(Error = )showerrorname{dup type dup( max err string )cvs show( : )show/stringtypene{( max err string )cvs}if show}exec errordict begin errhelpdict errornameknown{x 1 add y .2 sub moveto errhelpdict errorname get show}if end/y y .4 sub def x y moveto(Stack =)show ostack{/y y .2 sub def x 1add y moveto dup type/stringtype ne{( max err string )cvs}if show}forallshowpage}if end}def end}bd end%%EndResource%%EndProlog%%BeginSetupWin35Dict beginErrHandlerstatusdict begin 0 setjobtimeout endstatusdict begin statusdict /jobname (Microsoft Word - PRES2.DOC) put end/oldDictCnt countdictstack def {}stopped { countdictstack oldDictCnt lt { Win35Dict begin } {1 1 countdictstack oldDictCnt sub {pop end } for } ifelse } if /oldDictCnt countdictstack def {letter}stopped { countdictstack oldDictCnt lt { Win35Dict begin } {1 1 countdictstack oldDictCnt sub {pop end } for } ifelse } if [{mark 1.0 1.0 .98 .9 .82 .68 .56 .48 .28 .1 .06 .0 counttomark dup 3 add -1 roll exch 2 sub mul dup floor cvi dup 3 1 roll sub exch dup  3 add index exch 2 add index dup 4 1 roll sub mul add counttomark 1 add 1 roll  cleartomark } bind/exec load currenttransfer /exec load] cvx settransfer/fPP true def/setresolution where { pop 300 300 setresolution } if%%EndSetup%%Page: 1 1%%PageResources: (atend)SS0 0 25 11 798 1100 300 SM32 0 0 67 67 0 0 0 61 /Times-Bold /font29 ANSIFont font0 0 0 fC918 170 563 (Multiple Classifiers) 563 SB32 0 0 50 50 0 0 0 45 /Times-Roman /font32 ANSIFont font450 307 1437 (XU, LEI; KRZYZAK, ADAM; SUEN, CHING Y.  \(1992\) "Methods of) 1437 SB450 366 1392 (Combining Multiple Classifiers and Their Applications to Handwriting) 1392 SB450 425 1549 (Recognition"  IEEE Trans. on Systems, Man, and Cybernetics, Vol 22, No. 3,) 1549 SB450 484 193 (May/June) 193 SB32 0 0 67 67 0 0 0 61 /Times-Bold /font29 ANSIFont font300 653 365 (Introduction) 365 SB32 0 0 50 50 0 0 0 45 /Times-Roman /font32 ANSIFont font450 731 1532 (The basic problem we are confronted with when classifying samples is that of) 1532 SB450 790 1548 (uncertainties. For example, when dealing with specific features extracted from) 1548 SB450 849 1597 (some object we wish to classify, the certainty of these features is seldom perfect,) 1597 SB450 908 1430 (and therefore its correct classification cannot be guaranteed.  This paper) 1430 SB450 967 1609 (presupposes that the combined expertise of classifiers operating on the same data) 1609 SB450 1026 1617 (will reach a decision more closely approaching the truth than the use of individual) 1617 SB450 1085 204 (classifiers.) 204 SB32 0 0 67 67 0 0 0 60 /Times-Roman /font32 ANSIFont font300 1204 51 (1.) 51 SB375 1204 626 (What is to be classified) 626 SB32 0 0 50 50 0 0 0 45 /Times-Roman /font32 ANSIFont font450 1283 204 (A vector \() 204 SB32 0 0 50 50 0 0 0 46 /Times-Bold /font29 ANSIFont font654 1282 36 (X) 36 SB32 0 0 50 50 0 0 0 45 /Times-Roman /font32 ANSIFont font690 1283 84 (\) of ) 84 SB32 0 0 50 50 0 0 0 45 /Times-Italic /font31 ANSIFont font774 1283 161 (features) 161 SB32 0 0 50 50 0 0 0 45 /Times-Roman /font32 ANSIFont font935 1283 69 ( or ) 69 SB32 0 0 50 50 0 0 0 45 /Times-Italic /font31 ANSIFont font1004 1283 191 (attributes) 191 SB32 0 0 50 50 0 0 0 45 /Times-Roman /font32 ANSIFont font1195 1283 54 ( \(x) 54 SB32 0 0 50 50 0 0 0 45 /Times-Italic /font31 ANSIFont font1249 1296 14 (i) 14 SB32 0 0 50 50 0 0 0 45 /Times-Roman /font32 ANSIFont font1263 1283 786 (\) which represent the given input object) 786 SB450 1342 1546 (\(e.g. the entire input data corresponding to a cursive word\).  The main idea of) 1546 SB450 1401 329 (these features is ) 329 SB32 0 0 50 50 0 0 0 45 /Times-Italic /font31 ANSIFont font779 1401 293 (data reduction) 293 SB32 0 0 50 50 0 0 0 45 /Times-Roman /font32 ANSIFont font1072 1401 833 ( so that the input is represented at a lower) 833 SB450 1464 576 (dimensionality.  Often each x) 576 SB32 0 0 50 50 0 0 0 45 /Times-Italic /font31 ANSIFont font1026 1477 27 (i ) 27 SB32 0 0 50 50 0 0 0 45 /Times-Roman /font32 ANSIFont font1053 1464 981 (may take on binary values {0,1} and sometimes x) 981 SB32 0 0 50 50 0 0 0 45 /Times-Italic /font31 ANSIFont font2034 1477 14 (i) 14 SB32 0 0 50 50 0 0 0 51 /Symbol fontgs 2084 3231 0 0 CB2048 1458 36 (\316) 36 SBgr32 0 0 50 50 0 0 0 46 /Times-Bold /font29 ANSIFont font450 1525 36 (R) 36 SB32 0 0 50 50 0 0 0 45 /Times-Roman /font32 ANSIFont font486 1526 138 (.  Thus) 138 SB32 0 0 50 50 0 0 0 46 /Times-Bold /font29 ANSIFont font624 1525 116 (, X = ) 116 SB32 0 0 50 50 0 0 0 45 /Times-Roman /font32 ANSIFont font740 1526 41 ([x) 41 SB32 0 0 50 50 0 0 0 45 /Times-Italic /font31 ANSIFont font781 1539 25 (1) 25 SB32 0 0 50 50 0 0 0 45 /Times-Roman /font32 ANSIFont font806 1526 37 (,x) 37 SB32 0 0 50 50 0 0 0 45 /Times-Italic /font31 ANSIFont font843 1539 25 (2) 25 SB32 0 0 50 50 0 0 0 45 /Times-Roman /font32 ANSIFont font868 1526 89 (,...,x) 89 SB32 0 0 50 50 0 0 0 45 /Times-Italic /font31 ANSIFont font957 1539 25 (d) 25 SB32 0 0 50 50 0 0 0 45 /Times-Roman /font32 ANSIFont font982 1526 164 (] where ) 164 SB32 0 0 50 50 0 0 0 45 /Times-Italic /font31 ANSIFont font1146 1526 25 (d) 25 SB32 0 0 50 50 0 0 0 45 /Times-Roman /font32 ANSIFont font1171 1526 877 ( is the number of features.  The combination) 877 SB450 1589 944 (of all of these possible features is known as the ) 944 SB32 0 0 50 50 0 0 0 45 /Times-Italic /font31 ANSIFont font1394 1589 267 (sample space) 267 SB32 0 0 50 50 0 0 0 45 /Times-Roman /font32 ANSIFont font1661 1589 69 ( or ) 69 SB32 0 0 50 50 0 0 0 45 /Times-Italic /font31 ANSIFont font1730 1589 268 (feature space) 268 SB32 0 0 50 50 0 0 0 45 /Times-Roman /font32 ANSIFont font1998 1589 13 ( ) 13 SB32 0 0 50 50 0 0 0 51 /Symbol fontgs 2051 3231 0 0 CB2012 1583 39 (W) 39 SBgrgs 2051 3231 0 0 CB2011 1583 39 (W) 39 SBgr32 0 0 50 50 0 0 0 45 /Times-Roman /font32 ANSIFont font450 1650 268 (of dimension ) 268 SB32 0 0 50 50 0 0 0 45 /Times-Italic /font31 ANSIFont font718 1650 25 (d) 25 SB32 0 0 50 50 0 0 0 45 /Times-Roman /font32 ANSIFont font743 1650 13 (.) 13 SB32 0 0 67 67 0 0 0 60 /Times-Roman /font32 ANSIFont font300 1789 51 (2.) 51 SB375 1789 808 (How the classification is done) 808 SB32 0 0 50 50 0 0 0 45 /Times-Roman /font32 ANSIFont font450 1871 90 (The ) 90 SB32 0 0 50 50 0 0 0 45 /Times-Italic /font31 ANSIFont font540 1871 25 (d) 25 SB32 0 0 50 50 0 0 0 45 /Times-Roman /font32 ANSIFont font565 1871 388 (-dimensional space ) 388 SB32 0 0 50 50 0 0 0 51 /Symbol fontgs 993 3231 0 0 CB954 1865 39 (W) 39 SBgrgs 993 3231 0 0 CB953 1865 39 (W) 39 SBgr32 0 0 50 50 0 0 0 46 /Times-Bold /font29 ANSIFont font993 1870 13 ( ) 13 SB32 0 0 50 50 0 0 0 45 /Times-Roman /font32 ANSIFont font1006 1871 31 (is) 31 SB32 0 0 50 50 0 0 0 46 /Times-Bold /font29 ANSIFont font1037 1870 13 ( ) 13 SB32 0 0 50 50 0 0 0 45 /Times-Roman /font32 ANSIFont font1050 1871 318 (partitioned into ) 318 SB32 0 0 50 50 0 0 0 45 /Times-Italic /font31 ANSIFont font1368 1871 36 (m) 36 SB32 0 0 50 50 0 0 0 45 /Times-Roman /font32 ANSIFont font1404 1871 669 ( classes, and each class is referred) 669 SB450 1936 108 (to as ) 108 SB32 0 0 50 50 0 0 0 51 /Symbol fontgs 592 3231 0 0 CB558 1930 34 (w) 34 SBgr32 0 0 50 50 0 0 0 45 /Times-Italic /font31 ANSIFont font592 1949 14 (i) 14 SB32 0 0 50 50 0 0 0 45 /Times-Roman /font32 ANSIFont font606 1936 159 ( where i) 159 SB32 0 0 50 50 0 0 0 51 /Symbol fontgs 801 3231 0 0 CB765 1930 36 (\316) 36 SBgr32 0 0 50 50 0 0 0 45 /Times-Roman /font32 ANSIFont font801 1936 239 ({1,2,...m}.  ) 239 SB32 0 0 50 50 0 0 0 51 /Symbol fontgs 1074 3231 0 0 CB1040 1930 34 (w) 34 SBgr32 0 0 50 50 0 0 0 45 /Times-Italic /font31 ANSIFont font1074 1949 25 (o) 25 SB32 0 0 50 50 0 0 0 45 /Times-Roman /font32 ANSIFont font1099 1936 996 ( is reserved to indicate that the input was rejected.) 996 SB450 1997 817 (Each class has a discriminator function D) 817 SB32 0 0 50 50 0 0 0 45 /Times-Italic /font31 ANSIFont font1267 2010 14 (i) 14 SB32 0 0 50 50 0 0 0 45 /Times-Roman /font32 ANSIFont font1281 1997 708 (\(X\) which specifies exactly how the) 708 SB450 2056 1545 (feature space is to be partitioned.  This equation of the partition between, say,) 1545 SB450 2115 107 (class ) 107 SB32 0 0 50 50 0 0 0 45 /Times-Italic /font31 ANSIFont font557 2115 22 (x) 22 SB32 0 0 50 50 0 0 0 45 /Times-Roman /font32 ANSIFont font579 2115 97 ( and ) 97 SB32 0 0 50 50 0 0 0 45 /Times-Italic /font31 ANSIFont font676 2115 22 (y) 22 SB32 0 0 50 50 0 0 0 45 /Times-Roman /font32 ANSIFont font698 2115 93 ( is D) 93 SB32 0 0 50 50 0 0 0 45 /Times-Italic /font31 ANSIFont font791 2128 22 (x) 22 SB32 0 0 50 50 0 0 0 45 /Times-Roman /font32 ANSIFont font813 2115 79 ( - D) 79 SB32 0 0 50 50 0 0 0 45 /Times-Italic /font31 ANSIFont font892 2128 22 (y) 22 SB32 0 0 50 50 0 0 0 45 /Times-Roman /font32 ANSIFont font914 2115 1134 ( = 0 and may take the form of a hyperplane, hypersphere,) 1134 SB450 2174 102 (etc.\).) 102 SB32 0 0 67 67 0 0 0 60 /Times-Roman /font32 ANSIFont font

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