www.pudn.com > SolutionsforMultiuserDetection.rar > 4.27.huaidai.ps

%!PS (but not EPSF; comments have been disabled)
%DVIPSCommandLine: dvips -o 4.27.huaidai.ps 4.27.huaidai.dvi
%DVIPSParameters: dpi=600, compressed, comments removed
%DVIPSSource:  TeX output 1999.03.31:2051
/TeXDict 250 dict def TeXDict begin /N{def}def /B{bind def}N /S{exch}N
/X{S N}B /TR{translate}N /isls false N /vsize 11 72 mul N /hsize 8.5 72
mul N /landplus90{false}def /@rigin{isls{[0 landplus90{1 -1}{-1 1}
ifelse 0 0 0]concat}if 72 Resolution div 72 VResolution div neg scale
isls{landplus90{VResolution 72 div vsize mul 0 exch}{Resolution -72 div
hsize mul 0}ifelse TR}if Resolution VResolution vsize -72 div 1 add mul
TR[matrix currentmatrix{dup dup round sub abs 0.00001 lt{round}if}
forall round exch round exch]setmatrix}N /@landscape{/isls true N}B
/@manualfeed{statusdict /manualfeed true put}B /@copies{/#copies X}B
/FMat[1 0 0 -1 0 0]N /FBB[0 0 0 0]N /nn 0 N /IE 0 N /ctr 0 N /df-tail{
/nn 8 dict N nn begin /FontType 3 N /FontMatrix fntrx N /FontBBox FBB N
string /base X array /BitMaps X /BuildChar{CharBuilder}N /Encoding IE N
end dup{/foo setfont}2 array copy cvx N load 0 nn put /ctr 0 N[}B /df{
/sf 1 N /fntrx FMat N df-tail}B /dfs{div /sf X /fntrx[sf 0 0 sf neg 0 0]
N df-tail}B /E{pop nn dup definefont setfont}B /ch-width{ch-data dup
length 5 sub get}B /ch-height{ch-data dup length 4 sub get}B /ch-xoff{
128 ch-data dup length 3 sub get sub}B /ch-yoff{ch-data dup length 2 sub
get 127 sub}B /ch-dx{ch-data dup length 1 sub get}B /ch-image{ch-data
dup type /stringtype ne{ctr get /ctr ctr 1 add N}if}B /id 0 N /rw 0 N
/rc 0 N /gp 0 N /cp 0 N /G 0 N /sf 0 N /CharBuilder{save 3 1 roll S dup
/base get 2 index get S /BitMaps get S get /ch-data X pop /ctr 0 N ch-dx
0 ch-xoff ch-yoff ch-height sub ch-xoff ch-width add ch-yoff
setcachedevice ch-width ch-height true[1 0 0 -1 -.1 ch-xoff sub ch-yoff
.1 sub]/id ch-image N /rw ch-width 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 dup 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 dup gp add
/gp X adv}B /nd{/cp 0 N rw exit}B /lsh{rw cp 2 copy get dup 0 eq{pop 1}{
dup 255 eq{pop 254}{dup dup add 255 and S 1 and or}ifelse}ifelse put 1
adv}B /rsh{rw cp 2 copy get dup 0 eq{pop 128}{dup 255 eq{pop 127}{dup 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}]dup{bind pop}forall N /D{/cc X dup type /stringtype ne{]
}if nn /base get cc ctr put nn /BitMaps get S ctr S sf 1 ne{dup dup
length 1 sub dup 2 index S get sf div put}if put /ctr ctr 1 add N}B /I{
cc 1 add D}B /bop{userdict /bop-hook known{bop-hook}if /SI save N @rigin
0 0 moveto /V matrix currentmatrix dup 1 get dup mul exch 0 get dup mul
add .99 lt{/QV}{/RV}ifelse load def pop pop}N /eop{SI restore userdict
/eop-hook known{eop-hook}if showpage}N /@start{userdict /start-hook
known{start-hook}if pop /VResolution X /Resolution X 1000 div /DVImag X
/IE 256 array N 0 1 255{IE S 1 string dup 0 3 index put cvn put}for
65781.76 div /vsize X 65781.76 div /hsize X}N /p{show}N /RMat[1 0 0 -1 0
0]N /BDot 260 string N /rulex 0 N /ruley 0 N /v{/ruley X /rulex X V}B /V
{}B /RV statusdict begin /product where{pop product dup length 7 ge{0 7
getinterval dup(Display)eq exch 0 4 getinterval(NeXT)eq or}{pop false}
ifelse}{false}ifelse end{{gsave TR -.1 .1 TR 1 1 scale rulex ruley false
RMat{BDot}imagemask grestore}}{{gsave TR -.1 .1 TR rulex ruley scale 1 1
false RMat{BDot}imagemask grestore}}ifelse B /QV{gsave newpath transform
round exch round exch itransform moveto rulex 0 rlineto 0 ruley neg
rlineto rulex neg 0 rlineto fill grestore}B /a{moveto}B /delta 0 N /tail
{dup /delta X 0 rmoveto}B /M{S p delta add tail}B /b{S p tail}B /c{-4 M}
B /d{-3 M}B /e{-2 M}B /f{-1 M}B /g{0 M}B /h{1 M}B /i{2 M}B /j{3 M}B /k{
4 M}B /w{0 rmoveto}B /l{p -4 w}B /m{p -3 w}B /n{p -2 w}B /o{p -1 w}B /q{
p 1 w}B /r{p 2 w}B /s{p 3 w}B /t{p 4 w}B /x{0 S rmoveto}B /y{3 2 roll p
a}B /bos{/SS save N}B /eos{SS restore}B end
TeXDict begin 40258431 52099146 1000 600 600 (4.27.huaidai.dvi)
@start /Fa 1 49 df48 D E /Fb 2 50
df0 D49 D
E /Fc 2 51 df<13E01201120712FF12F91201B3A7487EB512C0A212217AA01E>49
DI E /Fd 4 107 df<007FB912E0BA12F0A26C
18E03C04789A4D>0 D<19E0F003F0180FF03FE0F0FF80943803FE00EF0FF8EF3FE0EFFF
80DC03FEC7FCEE0FF8EE3FE0EEFF80DB03FEC8FCED1FF8ED7FE0913801FF80DA07FEC9FC
EC1FF0EC7FC04948CAFCEB07FCEB1FF0EB7FC04848CBFCEA07FCEA1FF0EA7FC048CCFCA2
EA7FC0EA1FF0EA07FCEA01FF38007FC0EB1FF0EB07FCEB01FF9038007FC0EC1FF0EC07FC
913801FF809138007FE0ED1FF8ED07FE923800FF80EE3FE0EE0FF8EE03FE933800FF80EF
3FE0EF0FF8EF03FE943800FF80F03FE0F00FF01803F000E01900B0007FB912E0BA12F0A2
6C18E03C4E78BE4D>20 D<127012FCB4FCEA7FC0EA1FF0EA07FCEA01FF38007FC0EB1FF0
EB07FCEB01FF9038007FC0EC1FF0EC07FC913801FF809138007FE0ED1FF8ED07FE923800
FF80EE3FE0EE0FF8EE03FE933800FF80EF3FE0EF0FF8EF03FE943800FF80F03FE0F00FF0
A2F03FE0F0FF80943803FE00EF0FF8EF3FE0EFFF80DC03FEC7FCEE0FF8EE3FE0EEFF80DB
03FEC8FCED1FF8ED7FE0913801FF80DA07FEC9FCEC1FF0EC7FC04948CAFCEB07FCEB1FF0
EB7FC04848CBFCEA07FCEA1FF0EA7FC048CCFC12FC1270CDFCB0007FB912E0BA12F0A26C
18E03C4E78BE4D>I<126012F0B3B3B3B3B3A81260046474CA1C>106
D E /Fe 2 91 df<167F923801FFC0923803C0F0923807803892380F007892381F01FC15
1E153EA2157E92387C0070170015FCA44A5AA81403A45DA41407A94A5AAA4A5AA95DA414
3FA492C8FCA7143E147EA4147C123800FE13FC5CA2495A5CEA7803387007C0383C0F80D8
0FFEC9FCEA03F82E5C7C7F27>82 D90 D
E /Ff 7 122 df26 D<0103B512F0131F137F90B612E03A01FC1F80003903F00F
C03807C00748486C7E121F1300123EA25AA2140700FC5C5AA2140F5D141F92C7FC143E00
78133C147C007C5B383C01E0381F07C0D807FFC8FCEA01F8241E7D9C28>I<1670A216F0
1501A24B7EA21507150DA2151915391531ED61FC156015C0EC0180A2EC03005C14064A7F
167E5C5CA25C14E05C4948137F91B6FC5B0106C7123FA25B131C1318491580161F5B5B12
0112031207000FED3FC0D8FFF8903807FFFEA22F2F7DAE35>65 D<000FB8FCA23B1FC003
F8003F0100151F001C4A130E123C003801071406123000704A130EA20060010F140C12E0
485CA2141FC715005DA2143FA292C8FCA25CA2147EA214FEA25CA21301A25CA21303A25C
A21307A25C130F131F001FB512F0A2302D7FAC29>84 D<131FEA03FFA2EA003FA2133EA2
137EA2137CA213FCA25BA2120115F89038F003FCEC0F0E0003EB1C1EEC387EEBE07014E0
3807E1C09038E3803849C7FC13CEEA0FDC13F8A2EBFF80381F9FE0EB83F0EB01F8130048
1404150C123EA2007E141C1518007CEBF038ECF83000FC1470EC78E048EB3FC00070EB0F
801F2F7DAD25>107 D<27078007F0137E3C1FE01FFC03FF803C18F0781F0783E03B3878
E00F1E01263079C001B87F26707F8013B00060010013F001FE14E000E015C0485A491480
0081021F130300015F491400A200034A13076049133E170F0007027EEC8080188149017C
131F1801000F02FCEB3F03053E130049495C180E001F0101EC1E0C183C010049EB0FF000
0E6D48EB03E0391F7E9D3E>109 D121 D E /Fg 4 51 df43 D48 D<130C133C137CEA03FC12FFEAFC7C
1200B3B113FE387FFFFEA2172C7AAB23>II E /Fh 20
122 df26
D<0203B612E0021F15F091B7FC4916E0010716C090270FF80FF8C7FC90381FC00349486C
7E017EC7FC49147E485A4848143E0007153F5B485AA2485AA2123F90C8FC5E48157E127E
A216FE00FE5D5A15015EA24B5A007C5D15074B5A5E6C4AC8FC153E6C5C5D390F8003F039
07C007C02601F03FC9FC38007FFCEB1FE0342C7DAA37>I<121EEA7F80A2EAFFC0A4EA7F
80A2EA1E000A0A78891B>58 D<121EEA7F8012FF13C0A213E0A3127FEA1E601200A413E0
13C0A312011380120313005A1206120E5A5A5A12600B1D78891B>II<1618163C167CA2167816F8A216F01501A216E01503A216C01507A21680
150FA2ED1F00A2151E153EA2153C157CA2157815F8A25D1401A24A5AA25D1407A25D140F
A292C7FC5CA2141E143EA2143C147CA25CA25C1301A25C1303A25C1307A25C130FA291C8
FC5BA2133EA2133C137CA2137813F8A25B1201A25B1203A2485AA25B120FA290C9FC5AA2
121E123EA2123C127CA2127812F8A25A126026647BCA31>I<1830187018F0A217011703
A24D7EA2170F171FA21737A2176717E717C793380187FCA2EE0307EE07031606160CA216
181638163004607FA216C0030113011680ED0300A21506150E150C5D845D03707F15605D
A24A5A4AB7FCA25C0206C87F5C021C157F14185CA25C14E05C495A8549C9FC49163F1306
130E5B133C137C01FE4C7ED807FFED01FF007F01F0027FEBFFC0B5FC5C42477DC649>65
D<91B712FEF0FFE019F802009039C0000FFE6F48EB01FF03FF9138007F80F13FC093C8EA
1FE0A24AEE0FF0A25D1AF81403A25DA21407F11FF05DA2020FEE3FE0A24B16C0197F021F
1780F1FF004B4A5A4E5A023F4B5A4E5A4BEC3FC006FFC7FC027FEC07FC92B612F0188003
80CAFC14FFA292CBFCA25BA25CA21303A25CA21307A25CA2130FA25CA2131FA25CA2133F
A25CEBFFE0B612E0A345447CC33F>80 DI97 DI100 DII<141E143F5C5CA3147E14
3891C7FCAE133EEBFF803801C3C0380781E0380601F0120E121CEA180312381230A2EA70
0700605BA2EAE00F00C05BEA001F5CA2133F91C7FCA25B137E13FE5BA212015BEC038000
03140013F01207495A1406140E140CEBC01C141814385C00035BEBE1C0C6B45A013EC7FC
19437DC121>105 D<01F8EB03FCD803FEEB1FFFD8071F90387C0FC03B0E0F80E007E03A
0C07C3C003001CD9C7007F001801CE1301003801DC80003013D8EB0FF800705B00605BA2
00E0491303D8C01F5D5C12001607013F5D91C7FCA2160F495D137E161F5F13FE49143F94
C7FC187000014B136049147E16FE4C13E0000317C049150104F81380170300071700495D
170EEE781C000FED7C3849EC1FF0D80380EC07C0342D7DAB3A>110
D<01F8EB0FC0D803FEEB7FF0D8070FEBF038000E903883C07C3A0C07C701FC001C13CE00
18EBDC03003813D8003013F8D90FF013F800709038E000E0006015005C12E0EAC01F5C12
00A2133F91C8FCA35B137EA313FE5BA312015BA312035BA312075BA3120F5BEA0380262D
7DAB2C>114 DI<141C147EA314
FE5CA313015CA313035CA313075CA2007FB512FCB6FC15F839000FC000A2131F5CA3133F
91C7FCA35B137EA313FE5BA312015BA312035BA21570000714605B15E015C0000F130101
C013801403EC070000071306140E5C6C6C5A000113F03800FFC0013FC7FC1E3F7EBD23>
I<133ED9FF8014E02603C3C0EB03F0380703E0380601F0000E1507001C16E0EA18031238
0030150F007016C0EA60075C161FD8E00F158000C05BEA001F4A133F1700133F91C7FC5E
49147E137EA216FE01FE5C5BA215015E485AA215035EA200001407150F6D5C017C131F15
3F6D13FF90391F03CFC0903807FF8F903801FC0F90C7121F5EA2153F93C7FCD807C05BD8
1FE0137E5DA24848485A4A5A01805B39380007C00018495A001C49C8FC6C137C380781F8
3803FFE0C66CC9FC2C407DAB30>121 D E /Fi 60 123 df10 D<9239FFC001FC020F9038F80FFF913B
3F803E3F03C0913BFC00077E07E0D903F890390FFC0FF0494890383FF81F4948EB7FF049
5A494814E049C7FCF00FE04991393FC0038049021F90C7FCAFB912F0A3C648C7D81FC0C7
FCB3B2486CEC3FF0007FD9FC0FB512E0A33C467EC539>I<4AB4FC020F13E091387F80F8
903901FC001C49487FD907E0130F4948137F011FECFF80495A49C7FCA25B49EC7F00163E
93C7FCACEE3F80B8FCA3C648C7FC167F163FB3B0486CEC7FC0007FD9FC1FB5FCA330467E
C536>I<140C141C1438147014E0EB01C01303EB0780EB0F00A2131E5BA25B13F85B1201
5B1203A2485AA3485AA348C7FCA35AA2123EA2127EA4127CA312FCB3A2127CA3127EA412
3EA2123FA27EA36C7EA36C7EA36C7EA212017F12007F13787FA27F7FA2EB0780EB03C013
01EB00E014701438141C140C166476CA26>40 D<12C07E12707E7E7E120F6C7E6C7EA26C
7E6C7EA21378137C133C133E131E131FA2EB0F80A3EB07C0A3EB03E0A314F0A21301A214
F8A41300A314FCB3A214F8A31301A414F0A21303A214E0A3EB07C0A3EB0F80A3EB1F00A2
131E133E133C137C13785BA2485A485AA2485A48C7FC120E5A5A5A5A5A16647BCA26>I<
16C04B7EB3AB007FBAFCBB1280A26C1900C8D801E0C9FCB3AB6F5A41407BB84C>43
D<121EEA7F8012FF13C0A213E0A3127FEA1E601200A413E013C0A312011380120313005A
1206120E5A5A5A12600B1D78891B>II<121EEA7F80A2EAFFC0A4
EA7F80A2EA1E000A0A78891B>I<14FF010713E090381F81F890383E007C01FC133F4848
EB1F8049130F4848EB07C04848EB03E0A2000F15F0491301001F15F8A2003F15FCA390C8
FC4815FEA54815FFB3A46C15FEA56D1301003F15FCA3001F15F8A26C6CEB03F0A36C6CEB
07E0000315C06D130F6C6CEB1F806C6CEB3F00013E137C90381F81F8903807FFE0010090
C7FC28447CC131>48 D<143014F013011303131F13FFB5FC13E713071200B3B3B0497E49
7E007FB6FCA3204278C131>II<49B4
FC010F13E0013F13FC9038FE01FE3A01F0007F80D803C0EB3FC048C7EA1FE0120EED0FF0
EA0FE0486C14F8A215077F5BA26C48130FEA03C0C813F0A3ED1FE0A2ED3FC01680ED7F00
15FE4A5AEC03F0EC1FC0D90FFFC7FC15F090380001FCEC007FED3F80ED1FC0ED0FE016F0
ED07F816FC150316FEA2150116FFA3121EEA7F80487EA416FE491303A2007EC713FC0070
1407003015F80038140F6C15F06CEC1FE06C6CEB3FC0D803E0EB7F803A01FE01FE003900
7FFFF8010F13E0010190C7FC28447CC131>II<000615C0D807C0130701FCEB
7F8090B612005D5D5D15E0158026063FFCC7FC90C9FCAE14FF010713C090381F01F09038
3800FC01F0137ED807C07F49EB1F8016C090C7120F000615E0C8EA07F0A316F81503A216
FCA5123E127F487EA416F890C712075A006015F0A20070140F003015E00038EC1FC07E00
1EEC3F806CEC7F006C6C13FE6C6C485A3901F807F039007FFFE0011F90C7FCEB07F82644
7BC131>II<121CA2EA1F8090B712C0A3481680A217
005E0038C8120C0030151C00705D0060153016705E5E4814014B5A4BC7FCC81206150E5D
151815385D156015E04A5AA24A5A140792C8FC5CA25C141E143EA2147E147CA214FCA213
01A3495AA41307A6130FAA6D5AEB01C02A457BC231>I<14FF010713E0011F13F890387F
00FE01FC133FD801F0EB1F804848EB0FC049EB07E00007EC03F048481301A290C713F848
1400A47FA26D130116F07F6C6CEB03E013FC6C6CEB07C09039FF800F806C9038C01F006C
EBF03EECF87839007FFEF090383FFFC07F01077F6D13F8497F90381E7FFFD97C1F138049
6C13C02601E00313E048486C13F000079038007FF84848EB3FFC48C7120F003EEC07FE15
0148140016FF167F48153FA2161FA56C151E007C153EA2007E153C003E157C6C15F86DEB
01F06C6CEB03E06C6CEB07C0D803F8EB1F80C6B4EBFF0090383FFFFC010F13F001011380
28447CC131>I<14FF010713E0011F13F890387F80FC9038FC007E48487F4848EB1F8048
48EB0FC0000FEC07E0485AED03F0485A16F8007F140190C713FCA25AA216FE1500A516FF
A46C5CA36C7E5D121F7F000F5C6C6C1306150E6C6C5B6C6C5BD8007C5B90383F01E09039
0FFF80FE903801FE0090C8FC150116FCA4ED03F8A216F0D80F801307486C14E0486C130F
16C0ED1F80A249EB3F0049137E001EC75A001C495A000F495A3907E01FE06CB51280C649
C7FCEB1FF028447CC131>I<121EEA7F80A2EAFFC0A4EA7F80A2EA1E00C7FCB3A5121EEA
7F80A2EAFFC0A4EA7F80A2EA1E000A2B78AA1B>I<121EEA7F80A2EAFFC0A4EA7F80A2EA
1E00C7FCB3A5121E127FEAFF80A213C0A4127F121E1200A512011380A3120313005A1206
120E120C121C5A5A12600A3E78AA1B>I<007FBAFCBB1280A3CEFCB0BB1280A36C190041
187BA44C>61 D<16C04B7EA34B7EA34B7EA34B7EA3ED19FEA3ED30FFA203707FED607FA2
03E07FEDC03FA2020180ED801FA2DA03007F160FA20206801607A24A6D7EA34A6D7EA34A
6D7EA20270810260147FA202E08191B7FCA249820280C7121FA249C87F170FA201068217
07A2496F7EA3496F7EA3496F7EA201788313F8486C83D80FFF03037FB500E0027FEBFFC0
A342477DC649>65 DI70 DI73 D79
D<49B41303010FEBE007013F13F89039FE00FE0FD801F8131FD807E0EB079F49EB03DF48
486DB4FC48C8FC4881003E81127E82127C00FC81A282A37E82A27EA26C6C91C7FC7F7FEA
3FF813FE381FFFE06C13FE6CEBFFE06C14FC6C14FF6C15C0013F14F0010F80010180D900
1F7F14019138001FFF03031380816F13C0167F163F161F17E000C0150FA31607A37EA36C
16C0160F7E17806C151F6C16006C5D6D147ED8FBC05CD8F9F0495AD8F07C495A90393FC0
0FE0D8E00FB51280010149C7FC39C0003FF02B487BC536>83 D<003FB912F8A3903BF000
1FF8001F01806D481303003EC7150048187C0078183CA20070181CA30060180CA5481806
A5C81600B3B3A54B7EED7FFE49B77EA33F447DC346>I87
D91 D93 D<130C131E133F497EEBF3C03801E1E03803C0F03807
807848487E001E7F487F0070EB038048EB01C00040EB00801A0E75C331>I97
DII<167FED3FFFA315018182B3EC7F80903803FFF090380FC07C
90383F000E017E1307496D5AD803F87F48487F5B000F81485AA2485AA2127FA290C8FC5A
AB7E7FA2123FA26C7EA2000F5D7F6C6C5B00035C6C6C9038077F806C6C010E13C0013F01
1C13FE90380FC0F8903803FFE09026007F0013002F467DC436>III
III<143C14FFA2491380A46D1300A2143C91C7FCADEC7F80EB
3FFFA31300147F143FB3B3AA123E127F39FF807F00A2147EA25C6C485A383C01F06C485A
3807FF80D801FEC7FC195785C21E>IIII<3901FC01FE00FF903807FFC091381E07F091383801F800070170
7F0003EBE0002601FDC07F5C01FF147F91C7FCA25BA35BB3A8486CECFF80B5D8F83F13FE
A32F2C7DAB36>II<3901FC03FC00FF9038
0FFF8091383C07E091387001F83A07FDE000FE00010180137F01FFEC3F8091C7EA1FC049
15E049140F17F0160717F8160317FCA3EE01FEABEE03FCA3EE07F8A217F0160F6D15E0EE
1FC06D143F17806EEB7E00D9FDC05B9039FCF003F891383C0FE091381FFF80DA03FCC7FC
91C9FCAE487EB512F8A32F3F7DAB36>I<91387F8003903903FFE00790380FE07890393F
801C0F90387E000E496D5AD803F8EB039F0007EC01BF4914FF48487F121F5B003F81A248
5AA348C8FCAB6C7EA3123F7F121F6D5C120F6D5B12076C6C5B6C6C497E6C6C130E013F13
1C90380FC0F8903803FFE09038007F0091C7FCAEEEFF80033F13FEA32F3F7DAB33>I<39
03F803F000FFEB1FFCEC3C3EEC707F0007EBE0FF3803F9C000015B13FBEC007E153C01FF
13005BA45BB3A748B4FCB512FEA3202C7DAB26>I<90383FE0183901FFFC383907E01F78
390F0003F8001E1301481300007C1478127800F81438A21518A27EA27E6C6C13006C7E13
FC383FFFE06C13FC6C13FF6C14C06C14E0C614F0011F13F81300EC0FFC140300C0EB01FE
1400157E7E153EA27EA36C143C6C147C15786C14F86CEB01F039F38003E039F1F00F8039
E07FFE0038C00FF01F2E7DAC26>I<1306A5130EA4131EA3133E137EA213FE1201120700
1FB512F0B6FCA2C648C7FCB3A4150CAA017E131C017F1318A26D133890381F8030ECC070
903807E0E0903801FFC09038007F001E3E7EBC26>III
III<003FB612E0A29038C0003F90C713C0003CEC7F800038ECFF
00A20030495A0070495AA24A5A0060495AA24A5A4A5AA2C7485A4AC7FC5B5C495A13075C
495A131F4A1360495A495AA249C712C0485AA2485A485A1501485A48481303A24848EB07
804848131F00FF14FF90B6FCA2232B7DAA2B>I E /Fj 19 118 df46
D50 D<163FA25E5E5D5DA25D5D5D5D
A25D92B5FCEC01F7EC03E7140715C7EC0F87EC1F07143E147E147C14F8EB01F0EB03E013
0714C0EB0F80EB1F00133E5BA25B485A485A485A120F5B48C7FC123E5A12FCB91280A5C8
000F90C7FCAC027FB61280A531417DC038>52 D<121E121F13FC90B712FEA45A17FC17F8
17F017E017C0A2481680007EC8EA3F00007C157E5E00785D15014B5A00F84A5A484A5A5E
151FC848C7FC157E5DA24A5A14035D14074A5AA2141F5D143FA2147F5D14FFA25BA35B92
C8FCA35BA55BAA6D5A6D5A6D5A2F447AC238>55 D58 D66 D69 D76 DI<923807FFC0
92B512FE0207ECFFC0021F15F091267FFE0013FC902601FFF0EB1FFF01070180010313C0
4990C76C7FD91FFC6E6C7E49486F7E49486F7E01FF8348496F7E48496F1380A248496F13
C0A24890C96C13E0A24819F04982003F19F8A3007F19FC49177FA400FF19FEAD007F19FC
6D17FFA3003F19F8A26D5E6C19F0A26E5D6C19E0A26C6D4B13C06C19806E5D6C6D4B1300
6C6D4B5A6D6C4B5A6D6C4B5A6D6C4A5B6D01C001075B6D01F0011F5B010101FE90B5C7FC
6D90B65A023F15F8020715C002004AC8FC030713C047467AC454>79
DI82 D
I<137C48B4FC4813804813C0A24813E0A56C13C0A26C13806C1300EA007C90C7FCAAEB7F
C0EA7FFFA512037EB3AFB6FCA518467CC520>105 D108 D<90397F8007FEB590383FFF8092B512E0028114F8913987F0
3FFC91388F801F000390399F000FFE6C139E14BC02F86D7E5CA25CA35CB3A7B60083B512
FEA5372D7CAC3E>110 DI<
EB01E0A51303A41307A2130FA2131FA2133F137F13FF1203000F90B51280B7FCA4C601E0
C7FCB3A3ED01E0A9150302F013C0137F150790393FF80F8090391FFC1F006DB5FC6D13FC
01015B9038003FE023407EBE2C>116 DI E /Fk 6 115 df<14075C5C147F5C1307133F000FB5
FCB6FC13F913C1EAF0011200B3B3B3A7497F010F13E0B712FEA4274F75CE3B>49
D51 D57
D
77 D97
D<01FFEB1F80B5EB7FF0913801FFF8913803E1FC91380783FE0003EB0F07C6131EEB7F1C
1438143091387003FC91386000F0160014E05CA45CB3AA8048487EB612F0A427347DB32E
>114 D E /Fl 6 122 df<020FB712FEF1FFE04A17F8869126000FFEC7EA1FFF6F480203
7F07007F030FEE3FE0747E4C150F747E031F707EA24C6F7EA2033F83865EA2037FEF7F80
A25EA215FF1CC05EA25CA293CAFCA24A18FFA25D1C801407A24B5EA2140F1C004B5EA214
1F634B1607A2023F601A0F5D63027F171F635D505A14FF505A5D505A4996C7FC6192C95B
4F5A491707624A4C5A4F5A01074D5A4F5A4A4CC8FC4E5A010F4C5AF00FF84A4B5AF07FC0
011F4B485ADD07FEC9FC017FED7FFCB912F018C04DCAFC17E0525278D158>68
D<020FB6D8C007B612E0A24A4B4815C0A2DA000F90C80007EB80006F486F90C7FC4C5E03
0F1607635EA2031F160F635EA2033F161F635EA2037F163F635EA203FF167F635EA24A17
FF6393C9FCA24A5E98C8FC5DA202075E6292B8FCA25C6203F8C81207A2021F160F625DA2
023F161F625DA2027F163F625DA202FF167F625DA24917FF6292C9FCA2495E97C9FC5CA2
01075E615CA2010F1607615CA2011F160FA2017F163FB600FC017FB512FEA45B5278D157
>72 D97 D105 D117 D121
D E /Fm 12 120 df51
D<016017C001781603017E160FD97FC0ED7F8002F8913807FF00DAFFC0EBFFFE92B65A60
6018C0604DC7FC17F817E0017892C8FC020F13F891CBFCB3A8ED07FE92387FFFC00203B5
12F891390FF803FE91391F8000FF027CC7EA3FC04A6E7ED979E06E7ED97BC06E7ED97F80
6E7E91C87F017E6F7E017C6F13801378F07FC0017017E090CAFCF03FF0A219F8181FA219
FCA319FE180FA419FFA7EA1FE0487E487E487EA419FEA2181F5B4917FC5B0070CAFC183F
007818F8A26C18F0187F003E18E0001E17FF001F18C06C4C13806C7E6D4B13006C6C4B5A
6C6C4B5A6D4B5AD800FE4B5A017F4B5AD93FC049485AD91FF001075BD907FFD93FFEC7FC
6D90B55A010015F0023F14C0020749C8FC020013E0407579F14F>53
DI69 D72
D76 D101 D107 D109
D111 D114 D119
D E end
TeXDict begin

1 0 bop 1146 569 a Fm(ELE533)52 b(Homew)l(ork)f(6)1586
951 y Fl(Huaiyu)40 b(Dai)1561 1269 y Fk(31)e(Mar)g(1999)-186
1730 y Fj(PR)m(OBLEM)32 b(4.27.)43 b Fi(A)29 b(t)m(w)m(o-user)h(system)
g(emplo)m(ys)f(the)g(same)g(signature)g(w)m(a)m(v)m(eforms)h(and)f(b)s
(oth)f(users)j(are)-186 1850 y(receiv)m(ed)j(with)e(equal)h(p)s(o)m(w)m
(er:)1175 1970 y Fh(y)t Fi(\()p Fh(t)p Fi(\))27 b(=)h
Fh(Ab)1583 1985 y Fg(1)1623 1970 y Fh(s)p Fi(\()p Fh(t)p
Fi(\))22 b(+)g Fh(Ab)2014 1985 y Fg(2)2054 1970 y Fh(s)p
Fi(\()p Fh(t)p Fi(\))g(+)g Fh(\033)t(n)p Fi(\()p Fh(t)p
Fi(\))p Fh(:)-186 2145 y Fi(\(a\))32 b(Sho)m(w)i(that)e(the)h(minim)m
(um)c(probabilit)m(y)i(of)h(error)g(is)g(equal)h(to)1419
2413 y Fh(P)1482 2428 y Ff(k)1524 2413 y Fi(\()p Fh(\033)t
Fi(\))28 b(=)1800 2346 y(1)p 1800 2390 49 4 v 1800 2481
a(4)1881 2413 y(+)1989 2346 y(1)p 1989 2390 V 1989 2481
a(2)2048 2413 y Fh(Q)p Fi(\()2173 2346 y(2)p Fh(A)p 2173
2390 122 4 v 2205 2481 a(\033)2305 2413 y Fi(\))-186
2658 y(and)33 b(is)f(ac)m(hiev)m(ed)i(b)m(y)1263 2796
y(^)1267 2822 y Fh(b)1308 2837 y Fg(1)1375 2822 y Fi(=)1475
2796 y(^)1479 2822 y Fh(b)1520 2837 y Fg(2)1587 2822
y Fi(=)28 b(sgn\()1870 2705 y Fe(Z)1953 2732 y Ff(T)1916
2894 y Fg(0)2025 2822 y Fh(y)t Fi(\()p Fh(t)p Fi(\))p
Fh(s)p Fi(\()p Fh(t)p Fi(\))p Fh(dt)p Fi(\))p Fh(:)-186
3031 y Fi(\(b\))33 b(Sho)m(w)g(that)f(the)h(bit-error-rate)e(of)h(the)h
(join)m(tly)e(optim)m(um\(maxim)m(um-lik)m(eli)o(ho)s(o)r(d\)detector)d
(is)k(equal)g(to)1169 3299 y Fh(P)1246 3258 y Ff(m)1232
3324 y(k)1312 3299 y Fi(\()p Fh(\033)t Fi(\))c(=)1588
3232 y(1)p 1588 3276 49 4 v 1588 3368 a(4)1669 3299 y(+)1777
3232 y(1)p 1777 3276 V 1777 3368 a(4)1836 3299 y Fh(Q)p
Fi(\()1961 3232 y Fh(A)p 1961 3276 74 4 v 1968 3368 a(\033)2044
3299 y Fi(\))22 b(+)2212 3232 y(1)p 2212 3276 49 4 v
2212 3368 a(4)2271 3299 y Fh(Q)p Fi(\()2396 3232 y(3)p
Fh(A)p 2396 3276 122 4 v 2427 3368 a(\033)2528 3299 y
Fi(\))p Fh(:)-186 3630 y Fj(Solution:)-186 3837 y Fi(\(a\))-186
4043 y(F)-8 b(or)40 b(the)i(t)m(w)m(o-user)g(case,)j(the)c(optim)m(um)f
(detector)i(whic)m(h)f(ac)m(hiev)m(es)i(the)f(mimim)m(um)37
b(probabilit)m(y)i(error)i(is)-186 4163 y(giv)m(en)33
b(b)m(y)g(\(4.9\):)1037 4329 y(^)1041 4355 y Fh(b)1082
4370 y Fg(1)1149 4355 y Fi(=)28 b(sgn\()p Fh(y)1480 4370
y Fg(1)1541 4355 y Fd(\000)1682 4288 y Fh(\033)1741 4252
y Fg(2)p 1651 4332 162 4 v 1651 4424 a Fi(2)p Fh(A)1773
4439 y Fg(1)1839 4355 y Fi(log)1991 4285 y(cosh)q([)2213
4242 y Ff(A)2266 4251 y Fc(2)2301 4242 y Ff(y)2336 4251
y Fc(2)2370 4242 y Fg(+)p Ff(A)2478 4251 y Fc(1)2513
4242 y Ff(A)2566 4251 y Fc(2)2600 4242 y Ff(\032)p 2213
4261 423 4 v 2386 4319 a(\033)2428 4300 y Fc(2)2646 4285
y Fi(])p 1991 4332 682 4 v 1991 4430 a(cosh)q([)2213
4388 y Ff(A)2266 4397 y Fc(2)2301 4388 y Ff(y)2336 4397
y Fc(2)2370 4388 y Fb(\000)p Ff(A)2478 4397 y Fc(1)2513
4388 y Ff(A)2566 4397 y Fc(2)2600 4388 y Ff(\032)p 2213
4407 423 4 v 2386 4465 a(\033)2428 4446 y Fc(2)2646 4430
y Fi(])2683 4355 y(\))1102 b(\(1\))-186 4617 y(With)32
b Fh(A)139 4632 y Fg(1)206 4617 y Fi(=)c Fh(A)383 4632
y Fg(2)450 4617 y Fi(=)g Fh(A)p Fi(,)k Fh(\032)c Fi(=)g(1)k(and)h
Fh(y)e Fi(=)1321 4546 y Fe(R)1376 4572 y Ff(T)1360 4642
y Fg(0)1448 4617 y Fh(y)t Fi(\()p Fh(t)p Fi(\))p Fh(s)p
Fi(\()p Fh(t)p Fi(\))p Fh(dt)p Fi(,)h(it)f(can)i(b)s(e)g(simpli\014ed)e
(as:)1483 4820 y(^)1487 4846 y Fh(b)1528 4861 y Fg(1)1595
4846 y Fi(=)d(sgn\()p Fh(y)e Fd(\000)c Fh(f)11 b Fi(\()p
Fh(y)t Fi(\)\))1547 b(\(2\))-186 5066 y(where)1297 5243
y Fh(f)11 b Fi(\()p Fh(y)t Fi(\))27 b(=)1636 5176 y Fh(\033)1695
5140 y Fg(2)p 1624 5220 122 4 v 1624 5312 a Fi(2)p Fh(A)1773
5243 y Fi(log)1925 5173 y(cosh)q([)2147 5130 y Ff(Ay)r
Fg(+)p Ff(A)2345 5106 y Fc(2)p 2147 5149 233 4 v 2225
5207 a Ff(\033)2267 5188 y Fc(2)2390 5173 y Fi(])p 1925
5220 492 4 v 1925 5324 a(cosh)q([)2147 5281 y Ff(Ay)r
Fb(\000)p Ff(A)2345 5262 y Fc(2)p 2147 5301 233 4 v 2225
5358 a Ff(\033)2267 5339 y Fc(2)2390 5324 y Fi(])2427
5243 y(\))1358 b(\(3\))1857 5655 y(1)p eop
2 1 bop -186 167 a Fi(It)33 b(can)f(easily)g(b)s(e)h(seen)h(that)e
Fh(f)11 b Fi(\()p Fh(y)t Fi(\))32 b(is)g(an)g(o)s(dd)h(symmetric)e
(function)h(with)1207 460 y Fh(f)1266 395 y Fa(0)1293
460 y Fi(\()p Fh(y)t Fi(\))26 b(=)1856 389 y(sinh\()2078
350 y Fg(2)p Ff(A)2166 326 y Fc(2)p 2078 365 123 4 v
2101 423 a Ff(\033)2143 404 y Fc(2)2211 389 y Fi(\))p
1561 436 984 4 v 1561 537 a([cosh)q(\()1821 494 y Fg(2)p
Ff(Ay)p 1821 513 126 4 v 1845 571 a(\033)1887 552 y Fc(2)1956
537 y Fi(\))c(+)g(cosh)q(\()2347 497 y Fg(2)p Ff(A)2435
478 y Fc(2)p 2347 513 123 4 v 2369 571 a Ff(\033)2411
552 y Fc(2)2479 537 y Fi(\)])3823 460 y(\(4\))-186 742
y(F)-8 b(urther)33 b(insp)s(ection)f(rev)m(eals)h(that)1005
1030 y Fh(f)1064 965 y Fa(0)1090 1030 y Fi(\(0\))27 b(=)1473
959 y(sinh\()1695 920 y Fg(2)p Ff(A)1783 896 y Fc(2)p
1695 936 V 1717 993 a Ff(\033)1759 974 y Fc(2)1827 959
y Fi(\))p 1356 1006 627 4 v 1356 1107 a([1)22 b(+)g(cosh)q(\()1785
1067 y Fg(2)p Ff(A)1873 1048 y Fc(2)p 1784 1083 123 4
v 1807 1141 a Ff(\033)1849 1122 y Fc(2)1917 1107 y Fi(\)])2020
1030 y Fh(<)27 b Fi(tanh\()2366 962 y(2)p Fh(A)2488 926
y Fg(2)p 2366 1006 162 4 v 2398 1098 a Fh(\033)2457 1069
y Fg(2)2538 1030 y Fi(\))g Fd(\024)h Fi(1)1066 b(\(5\))-186
1312 y(and)1603 1433 y Fh(f)1662 1368 y Fa(0)1689 1433
y Fi(\()p Fh(y)t Fi(\))26 b Fd(\024)j Fh(f)2008 1368
y Fa(0)2034 1433 y Fi(\(0\))1664 b(\(6\))-186 1605 y(So)45
b(from)e(\(5\))i(and)g(\(6\))g(w)m(e)g(conclude)h(that)f(sgn\()p
Fh(y)34 b Fd(\000)d Fh(f)11 b Fi(\()p Fh(y)t Fi(\)\))43
b(is)i(dorminated)e(b)m(y)j(the)f(sign)g(of)f Fh(y)t
Fi(,)j(and)e(the)-186 1725 y(optim)m(um)31 b(detector)i(is)f(giv)m(en)h
(b)m(y)1183 1957 y(^)1186 1983 y Fh(b)1227 1998 y Fg(1)1295
1983 y Fi(=)28 b(sgn\()p Fh(y)t Fi(\))f(=)g(sgn)q(\()1978
1866 y Fe(Z)2061 1892 y Ff(T)2024 2054 y Fg(0)2132 1983
y Fh(y)t Fi(\()p Fh(t)p Fi(\))p Fh(s)p Fi(\()p Fh(t)p
Fi(\))p Fh(dt)p Fi(\))1247 b(\(7\))-186 2226 y(By)33
b(symmetry)-8 b(,)33 b(w)m(e)g(conclude)g(that)1277 2457
y(^)1280 2484 y Fh(b)1321 2499 y Fg(1)1389 2484 y Fi(=)1489
2457 y(^)1492 2484 y Fh(b)1533 2499 y Fg(2)1601 2484
y Fi(=)27 b(sgn)q(\()1884 2367 y Fe(Z)1967 2393 y Ff(T)1930
2555 y Fg(0)2039 2484 y Fh(y)t Fi(\()p Fh(t)p Fi(\))p
Fh(s)p Fi(\()p Fh(t)p Fi(\))p Fh(dt)p Fi(\))1340 b(\(8\))-186
2727 y(It)38 b(is)f(essen)m(tially)g(the)h(result)f(of)g(the)h(con)m(v)
m(en)m(tional)g(matc)m(hed)g(\014lter)f(output)h(and)f(the)h(error)g
(probabilit)m(y)d(is)-186 2847 y(giv)m(en)e(in)f(section)g(3.4)g(as)
1419 3010 y Fh(P)1482 3025 y Ff(k)1524 3010 y Fi(\()p
Fh(\033)t Fi(\))c(=)1800 2943 y(1)p 1800 2987 49 4 v
1800 3079 a(4)1881 3010 y(+)1989 2943 y(1)p 1989 2987
V 1989 3079 a(2)2048 3010 y Fh(Q)p Fi(\()2173 2943 y(2)p
Fh(A)p 2173 2987 122 4 v 2205 3079 a(\033)2305 3010 y
Fi(\))1480 b(\(9\))-186 3293 y(The)49 b(reason)f(wh)m(y)h(con)m(v)m(en)
m(tional)f(matc)m(hed)g(\014lter)g(b)s(ecomes)g(optimal)d(in)i(this)h
(case)g(is:)74 b(with)47 b(the)i(giv)m(en)-186 3414 y(condition,)44
b(this)e(t)m(w)m(o-user)h(system)g(encoun)m(ters)i(error)d(ev)m(en)i
(in)e(the)h(h)m(yp)s(othetical)e(scenario)i(of)e(complete)-186
3534 y(absence)g(of)e(bac)m(kground)h(noise.)64 b(Actually)38
b(ev)m(en)j(without)e(noise,)i(w)m(e)f(do)f(not)g(kno)m(w)i(whether)f
(\(1)p Fh(;)17 b Fd(\000)p Fi(1\))39 b(or)-186 3655 y(\()p
Fd(\000)p Fi(1)p Fh(;)17 b Fi(1\))31 b(has)h(b)s(een)h(sen)m(t)g(when)g
(the)f(receiv)m(ed)h(w)m(a)m(v)m(eform)f(is)g(n)m(ull.)42
b(When)32 b(this)g(happ)s(ens,)h(w)m(e)g(simply)d(abadon)-186
3775 y(detection)g(and)h(mak)m(e)f(a)g(guess;)i(and)f(sgn\()p
Fh(y)t Fi(\))e(has)i(the)g(same)f(e\013ect)h(as)f(tossing)g(a)g(coin)g
(with)g(the)g(assumption)-186 3895 y(of)36 b(zero-mean)g(Gaussian)g
(noise.)56 b(If)37 b(\(1)p Fh(;)17 b Fi(1\))35 b(or)i(\()p
Fd(\000)p Fi(1)p Fh(;)17 b Fd(\000)p Fi(1\))36 b(has)h(b)s(een)h(sen)m
(t,)h(the)e(decision)f(statistic)g Fh(y)j Fi(will)c(b)s(e)-186
4016 y(cen)m(tered)e(around)f(2)p Fh(A)f Fi(or)h Fd(\000)p
Fi(2)p Fh(A)f Fi(with)h(Gaussian)f(distribution,)f(and)h(the)h(zero)g
(threshold)g(giv)m(es)g(the)g(optimal)-186 4136 y(decision)g(with)g
(resp)s(ect)i(to)e(b)s(oth)h Fh(b)1130 4151 y Fg(1)1202
4136 y Fi(and)g Fh(b)1433 4151 y Fg(2)1473 4136 y Fi(.)-186
4342 y(\(b\))-186 4548 y(As)g(in)f(section)h(4.1,)f(the)h(maxim)m
(um-lik)m(eliho)s(o)s(d)27 b(detector)33 b(c)m(ho)s(ose)g(\()2372
4522 y(^)2376 4548 y Fh(b)2417 4563 y Fg(1)2457 4548
y Fh(;)2497 4522 y Fi(^)2501 4548 y Fh(b)2542 4563 y
Fg(2)2582 4548 y Fi(\))f(to)g(maximize)1000 4763 y(\012)1070
4778 y Fg(2)1110 4763 y Fi(\()p Fh(b)1189 4778 y Fg(1)1228
4763 y Fh(;)17 b(b)1313 4778 y Fg(2)1353 4763 y Fi(\))28
b(=)f Fh(b)1563 4778 y Fg(1)1603 4763 y Fh(A)1676 4778
y Fg(1)1716 4763 y Fh(y)1764 4778 y Fg(1)1825 4763 y
Fi(+)22 b Fh(b)1964 4778 y Fg(2)2004 4763 y Fh(A)2077
4778 y Fg(2)2116 4763 y Fh(y)2164 4778 y Fg(2)2225 4763
y Fd(\000)h Fh(b)2366 4778 y Fg(1)2406 4763 y Fh(b)2447
4778 y Fg(2)2487 4763 y Fh(A)2560 4778 y Fg(1)2599 4763
y Fh(A)2672 4778 y Fg(2)2712 4763 y Fh(\032)1012 b Fi(\(10\))-186
4977 y(In)33 b(this)f(problem)f(it)h(can)h(b)s(e)g(simpli\014ed)d(as)
1156 5191 y(\012)1226 5206 y Fg(2)1266 5191 y Fi(\()p
Fh(b)1345 5206 y Fg(1)1385 5191 y Fh(;)17 b(b)1470 5206
y Fg(2)1510 5191 y Fi(\))27 b(=)h Fh(Ay)t(b)1845 5206
y Fg(1)1906 5191 y Fi(+)22 b Fh(Ay)t(b)2170 5206 y Fg(2)2231
5191 y Fd(\000)h Fh(A)2404 5150 y Fg(2)2444 5191 y Fh(b)2485
5206 y Fg(1)2525 5191 y Fh(b)2566 5206 y Fg(2)3774 5191
y Fi(\(11\))-186 5406 y(The)34 b(optim)m(um)c(decisions)j(are)f(suc)m
(h)i(that)1857 5655 y(2)p eop
3 2 bop -186 167 a Fi(if)31 b Fd(j)p Fh(y)t Fd(j)c(\025)h
Fh(A)p Fi(,)k(then)1531 261 y(^)1535 287 y Fh(b)1576
302 y Fg(1)1643 287 y Fi(=)1743 261 y(^)1747 287 y Fh(b)1788
302 y Fg(1)1855 287 y Fi(=)c(sgn\()p Fh(y)t Fi(\))-186
458 y(Otherwise)1411 552 y(^)1415 578 y Fh(b)1456 593
y Fg(1)1523 578 y Fi(=)g Fd(\000)1700 552 y Fi(^)1704
578 y Fh(b)1745 593 y Fg(2)1813 578 y Fi(=)f Fh(ar)s(bitr)s(ar)s(y)t(:)
-186 834 y Fi(Supp)s(ose)38 b(\(1)p Fh(;)17 b Fi(1\))37
b(is)f(sen)m(t,)k(the)e(receiv)m(ed)g(decision)f(statistic)f
Fh(y)41 b Fi(is)c(distributed)f(as)i Fh(n)p Fi(\(2)p
Fh(A;)17 b(\033)3235 798 y Fg(2)3274 834 y Fi(\).)58
b(W)-8 b(e)37 b(\014nd)h(that)-190 928 y(^)-186 955 y
Fh(b)-145 970 y Fg(1)-77 955 y Fi(=)27 b Fd(\000)p Fi(1)33
b(with)f(probabilit)m(y)f(1)p Fh(=)p Fi(2)h(if)f Fd(j)p
Fh(y)t Fd(j)26 b(\024)i Fh(A)p Fi(,)33 b(and)g(if)e Fh(y)g(<)c
Fd(\000)p Fh(A)p Fi(.)45 b(So)166 1215 y Fh(P)243 1174
y Ff(m)229 1239 y Fg(1)309 1215 y Fi([)p Fh(e)p Fd(j)p
Fh(b)450 1230 y Fg(1)517 1215 y Fi(=)28 b(1)p Fh(;)17
b(b)755 1230 y Fg(2)822 1215 y Fi(=)27 b(1])83 b(=)1253
1147 y(1)p 1253 1191 49 4 v 1253 1283 a(2)1328 1098 y
Fe(Z)1411 1124 y Ff(A)1375 1286 y Fb(\000)p Ff(A)1503
1215 y Fh(f)11 b Fi(\()p Fh(y)t Fd(j)p Fh(b)1721 1230
y Fg(1)1787 1215 y Fi(=)28 b(1)p Fh(;)17 b(b)2025 1230
y Fg(2)2092 1215 y Fi(=)27 b(1\))p Fh(dy)e Fi(+)2504
1098 y Fe(Z)2587 1124 y Fb(\000)p Ff(A)2550 1286 y Fb(\0001)2715
1215 y Fh(f)11 b Fi(\()p Fh(y)t Fd(j)p Fh(b)2933 1230
y Fg(1)3000 1215 y Fi(=)27 b(1)p Fh(;)17 b(b)3237 1230
y Fg(2)3304 1215 y Fi(=)28 b(1\))p Fh(dy)1084 1462 y
Fi(=)1253 1394 y(1)p 1253 1439 V 1253 1530 a(2)1312 1462
y(\()p Fh(Q)p Fi(\()1475 1394 y Fd(\000)p Fh(A)23 b Fd(\000)f
Fi(2)p Fh(A)p 1475 1439 395 4 v 1643 1530 a(\033)1879
1462 y Fi(\))g Fd(\000)h Fh(Q)p Fi(\()2164 1394 y Fh(A)f
Fd(\000)h Fi(2)p Fh(A)p 2164 1439 317 4 v 2293 1530 a(\033)2491
1462 y Fi(\)\))f(+)g(\(1)g Fd(\000)g Fh(Q)p Fi(\()3020
1394 y Fd(\000)p Fh(A)h Fd(\000)g Fi(2)p Fh(A)p 3020
1439 395 4 v 3188 1530 a(\033)3425 1462 y Fi(\)\))1084
1699 y(=)1253 1631 y(1)p 1253 1676 49 4 v 1253 1767 a(2)1312
1699 y(\()p Fh(Q)p Fi(\()1475 1631 y Fh(A)p 1475 1676
74 4 v 1482 1767 a(\033)1558 1699 y Fi(\))f Fd(\000)h
Fh(Q)p Fi(\()1843 1631 y(3)p Fh(A)p 1843 1676 122 4 v
1874 1767 a(\033)1975 1699 y Fi(\)\))f(+)g Fh(Q)p Fi(\()2296
1631 y(3)p Fh(A)p 2296 1676 V 2327 1767 a(\033)2428 1699
y Fi(\))1084 1936 y(=)1253 1868 y(1)p 1253 1913 49 4
v 1253 2004 a(2)1312 1936 y(\()p Fh(Q)p Fi(\()1475 1868
y Fh(A)p 1475 1913 74 4 v 1482 2004 a(\033)1558 1936
y Fi(\))g(+)g Fh(Q)p Fi(\()1841 1868 y(3)p Fh(A)p 1841
1913 122 4 v 1873 2004 a(\033)1973 1936 y Fi(\)\))1725
b(\(12\))-186 2172 y(Similarly)-8 b(,)-48 2427 y Fh(P)29
2386 y Ff(m)15 2451 y Fg(1)95 2427 y Fi([)p Fh(e)p Fd(j)p
Fh(b)236 2442 y Fg(1)303 2427 y Fi(=)28 b Fd(\000)p Fi(1)p
Fh(;)17 b(b)618 2442 y Fg(2)685 2427 y Fi(=)28 b Fd(\000)p
Fi(1])83 b(=)1194 2359 y(1)p 1194 2404 49 4 v 1194 2495
a(2)1270 2310 y Fe(Z)1353 2336 y Ff(A)1316 2498 y Fb(\000)p
Ff(A)1444 2427 y Fh(f)11 b Fi(\()p Fh(y)t Fd(j)p Fh(b)1662
2442 y Fg(1)1728 2427 y Fi(=)28 b Fd(\000)p Fi(1)p Fh(;)17
b(b)2043 2442 y Fg(2)2110 2427 y Fi(=)28 b Fd(\000)p
Fi(1\))p Fh(dy)d Fi(+)2600 2310 y Fe(Z)2683 2336 y Fb(1)2646
2498 y Ff(A)2774 2427 y Fh(f)11 b Fi(\()p Fh(y)t Fd(j)p
Fh(b)2992 2442 y Fg(1)3058 2427 y Fi(=)28 b Fd(\000)p
Fi(1)p Fh(;)17 b(b)3373 2442 y Fg(2)3441 2427 y Fi(=)27
b Fd(\000)p Fi(1\))p Fh(dy)1025 2674 y Fi(=)1194 2607
y(1)p 1194 2651 V 1194 2742 a(2)1253 2674 y(\()p Fh(Q)p
Fi(\()1416 2607 y Fd(\000)p Fh(A)c Fi(+)f(2)p Fh(A)p
1416 2651 393 4 v 1583 2742 a(\033)1819 2674 y Fi(\))g
Fd(\000)g Fh(Q)p Fi(\()2103 2607 y Fh(A)h Fi(+)f(2)p
Fh(A)p 2103 2651 316 4 v 2232 2742 a(\033)2429 2674 y
Fi(\)\))g(+)g Fh(Q)p Fi(\()2750 2607 y Fh(A)g Fi(+)g(2)p
Fh(A)p 2750 2651 V 2878 2742 a(\033)3075 2674 y Fi(\))1025
2911 y(=)1194 2844 y(1)p 1194 2888 49 4 v 1194 2979 a(2)1253
2911 y(\()p Fh(Q)p Fi(\()1416 2844 y Fh(A)p 1416 2888
74 4 v 1423 2979 a(\033)1499 2911 y Fi(\))g Fd(\000)h
Fh(Q)p Fi(\()1784 2844 y(3)p Fh(A)p 1784 2888 122 4 v
1815 2979 a(\033)1916 2911 y Fi(\)\))f(+)g Fh(Q)p Fi(\()2237
2844 y(3)p Fh(A)p 2237 2888 V 2268 2979 a(\033)2369 2911
y Fi(\))1025 3148 y(=)1194 3081 y(1)p 1194 3125 49 4
v 1194 3216 a(2)1253 3148 y(\()p Fh(Q)p Fi(\()1416 3081
y Fh(A)p 1416 3125 74 4 v 1423 3216 a(\033)1499 3148
y Fi(\))g(+)g Fh(Q)p Fi(\()1782 3081 y(3)p Fh(A)p 1782
3125 122 4 v 1814 3216 a(\033)1914 3148 y Fi(\)\))1784
b(\(13\))49 3542 y Fh(P)126 3501 y Ff(m)112 3567 y Fg(1)192
3542 y Fi([)p Fh(e)p Fd(j)p Fh(b)333 3557 y Fg(1)401
3542 y Fi(=)28 b(1)p Fh(;)17 b(b)639 3557 y Fg(2)706
3542 y Fi(=)27 b Fd(\000)p Fi(1])83 b(=)1214 3475 y(1)p
1214 3519 49 4 v 1214 3610 a(2)1290 3425 y Fe(Z)1373
3451 y Ff(A)1336 3614 y Fb(\000)p Ff(A)1464 3542 y Fh(f)11
b Fi(\()p Fh(y)t Fd(j)p Fh(b)1682 3557 y Fg(1)1748 3542
y Fi(=)28 b(1)p Fh(;)17 b(b)1986 3557 y Fg(2)2053 3542
y Fi(=)28 b Fd(\000)p Fi(1\))p Fh(dy)d Fi(+)2543 3425
y Fe(Z)2626 3451 y Fb(\000)p Ff(A)2589 3614 y Fb(\0001)2754
3542 y Fh(f)11 b Fi(\()p Fh(y)t Fd(j)p Fh(b)2972 3557
y Fg(1)3038 3542 y Fi(=)28 b(1)p Fh(;)17 b(b)3276 3557
y Fg(2)3343 3542 y Fi(=)27 b Fd(\000)p Fi(1\))p Fh(dy)1045
3789 y Fi(=)1214 3722 y(1)p 1214 3766 V 1214 3857 a(2)1273
3789 y(\()p Fh(Q)p Fi(\()1436 3722 y Fd(\000)p Fh(A)p
1436 3766 151 4 v 1482 3857 a(\033)1597 3789 y Fi(\))22
b Fd(\000)g Fh(Q)p Fi(\()1881 3722 y Fh(A)p 1881 3766
74 4 v 1888 3857 a(\033)1965 3789 y Fi(\)\))g(+)g(\(1)g
Fd(\000)g Fh(Q)p Fi(\()2494 3722 y Fd(\000)p Fh(A)p 2494
3766 151 4 v 2540 3857 a(\033)2655 3789 y Fi(\)\))1045
4026 y(=)1214 3959 y(1)p 1214 4003 49 4 v 1214 4094 a(2)1273
4026 y(\(1)g Fd(\000)h Fi(2)p Fh(Q)p Fi(\()1656 3959
y Fh(A)p 1656 4003 74 4 v 1663 4094 a(\033)1739 4026
y Fi(\)\))f(+)g Fh(Q)p Fi(\()2060 3959 y Fh(A)p 2060
4003 V 2067 4094 a(\033)2143 4026 y Fi(\))1045 4259 y(=)1214
4192 y(1)p 1214 4236 49 4 v 1214 4328 a(2)3774 4259 y(\(14\))68
4653 y Fh(P)145 4612 y Ff(m)131 4678 y Fg(1)211 4653
y Fi([)p Fh(e)p Fd(j)p Fh(b)352 4668 y Fg(1)420 4653
y Fi(=)27 b Fd(\000)p Fi(1)p Fh(;)17 b(b)734 4668 y Fg(2)802
4653 y Fi(=)27 b(1])83 b(=)1233 4586 y(1)p 1233 4630
V 1233 4722 a(2)1308 4536 y Fe(Z)1391 4563 y Ff(A)1354
4725 y Fb(\000)p Ff(A)1483 4653 y Fh(f)11 b Fi(\()p Fh(y)t
Fd(j)p Fh(b)1701 4668 y Fg(1)1767 4653 y Fi(=)28 b Fd(\000)p
Fi(1)p Fh(;)17 b(b)2082 4668 y Fg(2)2149 4653 y Fi(=)28
b(1\))p Fh(dy)c Fi(+)2561 4536 y Fe(Z)2644 4563 y Fb(1)2607
4725 y Ff(A)2736 4653 y Fh(f)11 b Fi(\()p Fh(y)t Fd(j)p
Fh(b)2954 4668 y Fg(1)3020 4653 y Fi(=)27 b Fd(\000)p
Fi(1)p Fh(;)17 b(b)3334 4668 y Fg(2)3402 4653 y Fi(=)27
b(1\))p Fh(dy)1064 4900 y Fi(=)1233 4833 y(1)p 1233 4877
V 1233 4969 a(2)1292 4900 y(\()p Fh(Q)p Fi(\()1455 4833
y Fd(\000)p Fh(A)p 1455 4877 151 4 v 1501 4969 a(\033)1615
4900 y Fi(\))22 b Fd(\000)h Fh(Q)p Fi(\()1900 4833 y
Fh(A)p 1900 4877 74 4 v 1907 4969 a(\033)1983 4900 y
Fi(\)\))f(+)g Fh(Q)p Fi(\()2304 4833 y Fh(A)p 2304 4877
V 2311 4969 a(\033)2388 4900 y Fi(\))1064 5137 y(=)1233
5070 y(1)p 1233 5114 49 4 v 1233 5206 a(2)1292 5137 y(\(1)g
Fd(\000)g Fi(2)p Fh(Q)p Fi(\()1674 5070 y Fh(A)p 1674
5114 74 4 v 1681 5206 a(\033)1757 5137 y Fi(\)\))g(+)g
Fh(Q)p Fi(\()2078 5070 y Fh(A)p 2078 5114 V 2085 5206
a(\033)2161 5137 y Fi(\))1064 5371 y(=)1233 5303 y(1)p
1233 5347 49 4 v 1233 5439 a(2)3774 5371 y(\(15\))1857
5655 y(3)p eop
4 3 bop -186 167 a Fi(So)-186 406 y Fh(P)-109 365 y Ff(m)-123
431 y Fg(1)-43 406 y Fi(\()p Fh(\033)t Fi(\))83 b(=)344
339 y(1)p 344 383 49 4 v 344 475 a(4)403 406 y(\()p Fh(P)518
365 y Ff(m)504 431 y Fg(1)583 406 y Fi([)p Fh(e)p Fd(j)p
Fh(b)724 421 y Fg(1)792 406 y Fi(=)28 b(1)p Fh(;)17 b(b)1030
421 y Fg(2)1097 406 y Fi(=)27 b(1])22 b(+)g Fh(P)1473
365 y Ff(m)1459 431 y Fg(1)1539 406 y Fi([)p Fh(e)p Fd(j)p
Fh(b)1680 421 y Fg(1)1748 406 y Fi(=)27 b Fd(\000)p Fi(1)p
Fh(;)17 b(b)2062 421 y Fg(2)2130 406 y Fi(=)27 b Fd(\000)p
Fi(1])c(+)f Fh(P)2584 365 y Ff(m)2570 431 y Fg(1)2650
406 y Fi([)p Fh(e)p Fd(j)p Fh(b)2791 421 y Fg(1)2858
406 y Fi(=)28 b(1)p Fh(;)17 b(b)3096 421 y Fg(2)3163
406 y Fi(=)28 b Fd(\000)p Fi(1])22 b(+)g Fh(P)3617 365
y Ff(m)3603 431 y Fg(1)3683 406 y Fi([)p Fh(e)p Fd(j)p
Fh(b)3824 421 y Fg(1)3892 406 y Fi(=)27 b Fd(\000)p Fi(1)p
Fh(;)17 b(b)4206 421 y Fg(2)4274 406 y Fi(=)27 b(1]\))175
643 y(=)344 576 y(1)p 344 620 V 344 712 a(4)425 643 y(+)533
576 y(1)p 533 620 V 533 712 a(4)591 643 y Fh(Q)p Fi(\()716
576 y Fh(A)p 716 620 74 4 v 723 712 a(\033)800 643 y
Fi(\))22 b(+)968 576 y(1)p 968 620 49 4 v 968 712 a(4)1026
643 y Fh(Q)p Fi(\()1151 576 y(3)p Fh(A)p 1151 620 122
4 v 1183 712 a(\033)1283 643 y Fi(\))2997 b(\(16\))-186
974 y(By)33 b(symmetry)-8 b(,)1537 1094 y Fh(P)1614 1053
y Ff(m)1600 1119 y Fg(2)1680 1094 y Fi(\()p Fh(\033)t
Fi(\))28 b(=)g Fh(P)2024 1053 y Ff(m)2010 1119 y Fg(1)2090
1094 y Fi(\()p Fh(\033)t Fi(\))1857 5655 y(4)p eop end
userdict /end-hook known{end-hook}if