%!PS-Adobe-2.0 %%Creator: dvips(k) 5.86 Copyright 1999 Radical Eye Software %%Title: WS0203Ub6V2.dvi %%Pages: 2 %%PageOrder: Ascend %%BoundingBox: 0 0 596 842 %%EndComments %DVIPSWebPage: (www.radicaleye.com) %DVIPSCommandLine: dvips WS0203Ub6V2.dvi %DVIPSParameters: dpi=600, compressed %DVIPSSource: TeX output 2002.12.03:1055 %%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 TeXDict begin 39158280 55380996 1000 600 600 (WS0203Ub6V2.dvi) @start %DVIPSBitmapFont: Fa cmsy10 12 7 /Fa 7 92 df<147014F8A81470007815F0007C1401B4EC07F8D87F80EB0FF0D83FE0EB3F E0D80FF0EB7F80D803F8EBFE003900FE73F890383F77E090380FFF80D903FEC7FCEB00F8 EB03FE90380FFF8090383F77E09038FE73F83903F870FED80FF0EB7F80D83FE0EB3FE0D8 7F80EB0FF0D8FF00EB07F8007CEC01F000781400C7140014F8A81470252B7AAD32>3 D<49B4FC010F13E0013F13F8497F3901FF01FF3A03F8003F80D807E0EB0FC04848EB07E0 4848EB03F090C71201003EEC00F8A248157CA20078153C00F8153EA248151EA56C153EA2 0078153C007C157CA26C15F8A26CEC01F06D13036C6CEB07E06C6CEB0FC0D803F8EB3F80 3A01FF01FF0039007FFFFC6D5B010F13E0010190C7FC27277BAB32>14 D<1AF0A3861A78A21A7C1A3CA21A3E1A1E1A1F747EA2747E747E87747E747E1B7E87757E F30FE0F303F8007FBC12FEBE1280A26CF3FE00CEEA03F8F30FE0F31F8051C7FC1B7E6350 5A505A63505A505AA250C8FC1A1E1A3E1A3CA21A7C1A78A21AF862A359347BB264>33 D<92B6FC02071580143F91B7120001030180C8FCD907FCC9FCEB1FE0EB3F80017ECAFC5B 485A485A485A5B485A121F90CBFC123EA2123C127CA2127812F8A25AA2B9FC1880A21800 00F0CBFCA27EA21278127CA2123C123EA27E7F120F6C7E7F6C7E6C7E6C7E137E6D7EEB1F E0EB07FC6DB47E010090B6FC023F1580140702001500313A78B542>50 D<126012F0B012FC12FEA212FC12F0B0126007267BAB00>55 D<4B7E4B7EA21507A25EEC FF8F010313EF90260F80FFC7FC90383E003F497F49804848804848497E5B0007EC3DF049 133C000FEC7CF8A248C7EA787C15F848157E15F0A2140148157F007E4A7E1403A215C0A2 00FE01071480A21580140FA21500A25CA2141E143EA2143CA2147CA21478A214F8A25C13 01A2007E491400A21303A2007F495B1307003F157E5CA2130F001F157C018FC712FCD80F 9F5CA201DE130100075DD803FE495AA26C48495A00004A5A017C49C7FC017E133E90387F 80F89038FBFFE001F8138049C9FC1201A25BA26C5A29557CCC32>59 D<0060170C00F0171EB3B3A66C173EA20078173C007C177C007E17FC003E17F86CEE01F0 6D15036C6CED07E06C6CED0FC0D803F8ED3F80D801FEEDFF0026007FC0EB07FCD93FFCEB 7FF8010FB612E001031580D9007F01FCC7FC020713C0373D7BBA42>91 D E %EndDVIPSBitmapFont %DVIPSBitmapFont: Fb cmr8 8 6 /Fb 6 62 df48 D<130C133C137CEA03FC12FFEAFC7C1200B3 B113FE387FFFFEA2172C7AAB23>II<140EA2141E143EA2147E14FEA2EB01BE 1303143E1306130E130C131813381330136013E013C0EA0180120313001206120E120C5A 123812305A12E0B612FCA2C7EA3E00A9147F90381FFFFCA21E2D7EAC23>52 D<000CEB0180380FC01F90B512005C5C14F014C0D80C7EC7FC90C8FCA8EB1FC0EB7FF838 0DE07C380F801F01001380000E130F000CEB07C0C713E0A2140315F0A4127812FCA448EB 07E012E0006014C00070130F6C14806CEB1F006C133E380780F83801FFE038007F801C2D 7DAB23>I61 D E %EndDVIPSBitmapFont %DVIPSBitmapFont: Fc cmmi8 8 4 /Fc 4 111 df<92387FC003913903FFF80791391FC03E0F91397E00071FD901F8EB03BF 4948EB01FED90FC013004948147E49C8FC017E157C49153C485A120348481538485AA248 5A173048481500A2127F90CAFCA35A5AA292381FFFFCA29238003FC0EE1F80163F1700A2 127E5E167E7EA26C6C14FE000F4A5A6C7E6C6C1307D801F8EB1E3CD8007EEBFC3890391F FFE018010390C8FC302F7CAD37>71 D<90273FFFFC0FB5FCA2D900FEC7EA3F80A24A1500 A201015D177E5CA2010315FE5F5CA2010714015F5CA2010F14035F5C91B6FC5B9139C000 07E05CA2013F140F5F91C7FCA249141F5F137EA201FE143F94C7FC5BA200015D167E5BA2 000315FEB539E03FFFF8A2382D7CAC3A>I<27078007F0137E3C1FE01FFC03FF803C18F0 781F0783E03B3878E00F1E01263079C001B87F26707F8013B00060010013F001FE14E000 E015C0485A4914800081021F130300015F491400A200034A13076049133E170F0007027E EC8080188149017C131F1801000F02FCEB3F03053E130049495C180E001F0101EC1E0C18 3C010049EB0FF0000E6D48EB03E0391F7E9D3E>109 D<3907C007E0391FE03FF83918F8 783E393879E01E39307B801F38707F00126013FEEAE0FC12C05B00815C0001143E5BA200 03147E157C5B15FC0007ECF8081618EBC00115F0000F1538913803E0300180147016E000 1F010113C015E390C7EAFF00000E143E251F7E9D2B>I E %EndDVIPSBitmapFont %DVIPSBitmapFont: Fd cmex10 12 1 /Fd 1 92 df<003EF407C0007FF40FE0486CF31FF0B3B3B3B3B3A56D1B3F007F1DE0A46D 1B7F003F1DC0A26D1BFF001F1D806D62A26C6C501300A26C6C505A6D1A0F6C6D4F5AA26C 6D4F5A6E197F6C6D4F5A6D6C4E5B6D6C4E5B6E606D6C4E5B6D01C0053F90C7FC6D6D4D5A 6D01F84C485A6D01FE04075B6D6D6C031F5B6E01E0037F5B021F01FE0207B512806ED9FF F090B6C8FC020391B712FC6E606E6C17E0031F178003074CC9FC030116F8DB003F15C004 0302FCCAFCDC001F1380648B7B7F6F>91 D E %EndDVIPSBitmapFont %DVIPSBitmapFont: Fe cmsy8 8 3 /Fe 3 50 df0 D<137813FE1201A3120313FCA3EA07F8A313F0 A2EA0FE0A313C0121F1380A3EA3F00A3123E127E127CA35AA35A0F227EA413>48 DI E %EndDVIPSBitmapFont %DVIPSBitmapFont: Ff cmmi12 12 20 /Ff 20 122 df<131C133E137EA313FE5BA312015BA312035BA312075BA2120F5BA3121F 5BA2123F90C8FCEC0380481400127E00FE5B481306140E140C141C485B5C5C495A387807 80D87C1EC7FCEA1FF8EA07E0192D7AAB22>19 D<121EEA7F80A2EAFFC0A4EA7F80A2EA1E 000A0A78891B>58 D<121EEA7F8012FF13C0A213E0A3127FEA1E601200A413E013C0A312 011380120313005A1206120E5A5A5A12600B1D78891B>I<1618163C167CA2167816F8A2 16F01501A216E01503A216C01507A21680150FA2ED1F00A2151E153EA2153C157CA21578 15F8A25D1401A24A5AA25D1407A25D140FA292C7FC5CA2141E143EA2143C147CA25CA25C 1301A25C1303A25C1307A25C130FA291C8FC5BA2133EA2133C137CA2137813F8A25B1201 A25B1203A2485AA25B120FA290C9FC5AA2121E123EA2123C127CA2127812F8A25A126026 647BCA31>61 D<1830187018F0A217011703A24D7EA2170F171FA21737A2176717E717C7 93380187FCA2EE0307EE07031606160CA216181638163004607FA216C0030113011680ED 0300A21506150E150C5D845D03707F15605DA24A5A4AB7FCA25C0206C87F5C021C157F14 185CA25C14E05C495A8549C9FC49163F1306130E5B133C137C01FE4C7ED807FFED01FF00 7F01F0027FEBFFC0B5FC5C42477DC649>65 D<91B912FCA3020001C0C7123F6F48EC03F8 03FF1501190093C91278A21A385C5DA3020317305DA314074B1460A218E0020F4B13005D A21701021F5D4B13031707170F023F027FC8FC92B6FCA391397FC0007E4B131EA2170E02 FF140C92C7FCA2171C49031813035C611906010392C7FC4A160E190C191C010717184A16 3819301970130F4A5E180161011F16034A15074E5A013F163F4EC7FC4AEC03FF01FFED3F FEB9FCA26046447CC348>69 D<91B912F8A3020001C0C7123F6F48EC07F003FF15031901 93C9FCA21A705C5DA3020317605DA314075D18C01701020F4B13005DA21703021F92C8FC 4B5BA25F023F141E4B13FE92B5FCA24A5CED8000173CA202FF141892C7FCA21738491530 5CA21770010315604A91C9FCA313075CA3130F5CA3131F5CA2133FA313FFB612F8A34544 7CC33F>I<4CB46C1318043F01F013384BB512FC0307D9007E1378DB1FF090380F80F0DB 7F80EB03C1DA01FEC7EA01C34A48EC00E7DA0FF0ED7FE04A48153F4A5A02FFC9121F4948 17C04948160F495A130F4A178049481607495A137F4948170091CAFC5A485A1906485AA2 485A96C7FC121F5BA2123F5BA3127F5BA4485A4CB612805EA293C7EBE000725AA3007F60 A218FF96C7FCA26C7E5F606C7EA2000F16036D5E6C6C15070003160F6C6C151F6C6CED3D F8D97F8014786D6CEB01E0D91FF0903807C078D907FE90387F00700101B500FC1330D900 3F01F090C8FC020790CAFC45487CC54D>I<91B6D8E003B61280A3020001E0C70003EB80 00DB7F806E48C7FC03FF1503A293C85BA219075C4B5EA2190F14034B5EA2191F14074B5E A2193F140F4B5EA2197F141F4B5EA219FF143F92B8C8FCA3DA7FC0C712014B5DA2180314 FF92C85BA218075B4A5EA2180F13034A5EA2181F13074A5EA2183F130F4A5EA2187F131F 4A5EA2013F16FFA24A93C9FCD9FFE002037FB6D8E003B67EA351447CC351>I<91B500C0 933803FFFE63630200F1FE00DB6FE0EE1BF803EF171F1B3703CFEF67F0A21BCF0201EF01 8F038F60DB87F0ED030F1B1F020317060307040C5BA2F2183F020717300206616F6C1560 1B7F020E17C0020CDC018090C7FCA24F485A021C16060218606F6C5C1A01023816180230 04305BA2F16003027016C00260606F6CEB01801A0702E0ED03004A03065CA24E130F0101 5E4A60047F5B1A1F01035E91C74A5CA24D48133F494BC7FC010661EE3F861A7F010E158C 010C039892C8FCA205B05C011C15E001186001386E5A190101785D01FC92C75BD803FFEF 07FEB500F8011E0107B512FE161C160C5F447BC35E>77 D<91B500C0020FB5128082A2DA 007F9239007FE00070ED1F8074C7FCDBEFF8150E15CF03C7160C70151C1401DB83FE1518 A2DB81FF1538140303001630831A704A6D7E02061760163F7114E0140E020C6D6C5CA270 6C1301141C021801075D83190302386D7E023094C8FC1601715B147002606DEB8006A294 387FC00E14E04A023F130C18E0191C0101ED1FF04A1618170FF0F838130391C83807FC30 A2943803FE705B01060301136018FF19E0010E81010C5F187FA2131C0118705A1338181F 137801FC70C9FCEA03FFB512F884180651447CC34E>I<9339FF8001800307EBF003033F 13FC9239FF007E07DA01F8EB0F0FDA07E09038079F004A486DB4FC4AC77E023E804A5D18 7E5C495A183C495AA213074A1538A3130F183080A295C7FC806D7E8014FF6D13E015FC6D EBFFC06D14FC6E13FF6E14C0020F80020314F8EC003F03077F9238007FFE160F1603707E 8283A283A21206A4000E163EA2120C177E001E167CA25F5F003F15014C5A6D4A5A4C5A48 6C4AC8FC6D143ED87CF85CD8787E495A3AF01FC00FE0D8E007B51280010149C9FC39C000 3FF039487BC53C>83 D<023FB500E0011FB5FCA39126007FFEC7000313E0DB3FF8913801 FE006F486E5A1AF06F6C4A5A626F6C4A5A0706C7FC190E6F6C5C616F6C5C6171485A6F5D 4EC8FC93387FC00660706C5A6060706C5A17F193380FFB8005FFC9FC5F705AA2707EA370 7E5E04067F5E93381C7FC0163816704C6C7EED01C04B486C7E160015064B6D7E5D4B6D7E 5D5D4A486D7E14034AC76C7E140E5C4A6E7F143002E06F7E495A0103707E495A131F496C 4B7E2603FFE04A487E007F01FC021FEBFFF0B5FCA250447EC351>88 D98 D102 D<157E913803FF8091390FC1E0E091391F0073F0027E13334A133F4948 131F010315E04948130F495AA2494814C0133F4A131F137F91C713805B163F5A491500A2 5E120349147EA216FEA2495CA21501A25EA21503150700015D150F0000141F6D133F017C EB77E090383E01E790381F078F903807FE0FD901F85B90C7FC151FA25EA2153FA293C7FC A2001C147E007F14FE485C4A5A140348495AEC0FC000F8495A007C01FEC8FC381FFFF800 0313C02C407EAB2F>I<14FE137FA3EB01FC13001301A25CA21303A25CA21307A25CA213 0FA25CA2131FA25CED3FC090393F81FFF0913887C0FC91380E007E023C133ED97F70133F 4A7F4A14805C13FF91C7FC5BA24848143F17005BA200035D167E5BA2000715FE5E5B1501 000F5DA24913035E001F1607030713064914E0150F003FEDC00E170C90C7141CEE801848 16381730007E167017E000FE91380781C0EEC38048913801FF000038EC007C30467BC438 >I<14FE137FA3EB01FC13001301A25CA21303A25CA21307A25CA2130FA25CA2131FA25C 163F013FECFFC0923803C0E09138000703ED1E0F491338ED701F017E13E0EC01C001FE01 8013C00203EB07004948C8FC140E00015B5C495A5C3803FBC001FFC9FC8014F83807F1FE 9038F03F809038E00FE06E7E000F130381EBC001A2001FED01C017801380A2003F150317 00010013F05E481506160E007E150C161C00FE01005BED787048EC3FE00038EC0F802B46 7BC433>107 D<02FCEB07E0903A03FF801FFC903A0F07C0781E903A1C03E0E01F903A38 01F1C07FD9700013804901FB13FF4848EBFF00495B000316FE90C71438484A1300120614 01000E5C120CC7FC14035DA314075DA3140F5DA3021F143817305D1770023F1460121E00 3F16E0267F807FEB01C0026F148000FF01EF1303D901CFEB070000FE903887C00E267C03 835B3A3C0F01E0783A1FFC00FFE0D803F0EB3F80302D7EAB37>120 D<133ED9FF8014E02603C3C0EB03F0380703E0380601F0000E1507001C16E0EA18031238 0030150F007016C0EA60075C161FD8E00F158000C05BEA001F4A133F1700133F91C7FC5E 49147E137EA216FE01FE5C5BA215015E485AA215035EA200001407150F6D5C017C131F15 3F6D13FF90391F03CFC0903807FF8F903801FC0F90C7121F5EA2153F93C7FCD807C05BD8 1FE0137E5DA24848485A4A5A01805B39380007C00018495A001C49C8FC6C137C380781F8 3803FFE0C66CC9FC2C407DAB30>I E %EndDVIPSBitmapFont %DVIPSBitmapFont: Fg cmr12 12 56 /Fg 56 128 df<4AB4FC020F13E091387F80F8903901FC001C49487FD907E0130F494813 7F011FECFF80495A49C7FCA25B49EC7F00163E93C7FCACEE3F80B8FCA3C648C7FC167F16 3FB3B0486CEC7FC0007FD9FC1FB5FCA330467EC536>12 D25 D<140C141C1438147014E0EB01C01303EB0780EB0F00A2131E5BA25B13F85B12015B1203 A2485AA3485AA348C7FCA35AA2123EA2127EA4127CA312FCB3A2127CA3127EA4123EA212 3FA27EA36C7EA36C7EA36C7EA212017F12007F13787FA27F7FA2EB0780EB03C01301EB00 E014701438141C140C166476CA26>40 D<12C07E12707E7E7E120F6C7E6C7EA26C7E6C7E A21378137C133C133E131E131FA2EB0F80A3EB07C0A3EB03E0A314F0A21301A214F8A413 00A314FCB3A214F8A31301A414F0A21303A214E0A3EB07C0A3EB0F80A3EB1F00A2131E13 3E133C137C13785BA2485A485AA2485A48C7FC120E5A5A5A5A5A16647BCA26>I<121EEA 7F8012FF13C0A213E0A3127FEA1E601200A413E013C0A312011380120313005A1206120E 5A5A5A12600B1D78891B>44 DI<121EEA7F80A2EAFFC0A4EA7F 80A2EA1E000A0A78891B>I<14FF010713E090381F81F890383E007C01FC133F4848EB1F 8049130F4848EB07C04848EB03E0A2000F15F0491301001F15F8A2003F15FCA390C8FC48 15FEA54815FFB3A46C15FEA56D1301003F15FCA3001F15F8A26C6CEB03F0A36C6CEB07E0 000315C06D130F6C6CEB1F806C6CEB3F00013E137C90381F81F8903807FFE0010090C7FC 28447CC131>48 D<143014F013011303131F13FFB5FC13E713071200B3B3B0497E497E00 7FB6FCA3204278C131>II<49B4FC01 0F13E0013F13FC9038FE01FE3A01F0007F80D803C0EB3FC048C7EA1FE0120EED0FF0EA0F E0486C14F8A215077F5BA26C48130FEA03C0C813F0A3ED1FE0A2ED3FC01680ED7F0015FE 4A5AEC03F0EC1FC0D90FFFC7FC15F090380001FCEC007FED3F80ED1FC0ED0FE016F0ED07 F816FC150316FEA2150116FFA3121EEA7F80487EA416FE491303A2007EC713FC00701407 003015F80038140F6C15F06CEC1FE06C6CEB3FC0D803E0EB7F803A01FE01FE0039007FFF F8010F13E0010190C7FC28447CC131>II<000615C0D807C0130701FCEB7F80 90B612005D5D5D15E0158026063FFCC7FC90C9FCAE14FF010713C090381F01F090383800 FC01F0137ED807C07F49EB1F8016C090C7120F000615E0C8EA07F0A316F81503A216FCA5 123E127F487EA416F890C712075A006015F0A20070140F003015E00038EC1FC07E001EEC 3F806CEC7F006C6C13FE6C6C485A3901F807F039007FFFE0011F90C7FCEB07F826447BC1 31>I<121EEA7F80A2EAFFC0A4EA7F80A2EA1E00C7FCB3A5121EEA7F80A2EAFFC0A4EA7F 80A2EA1E000A2B78AA1B>58 D<121EEA7F80A2EAFFC0A4EA7F80A2EA1E00C7FCB3A5121E 127FEAFF80A213C0A4127F121E1200A512011380A3120313005A1206120E120C121C5A5A 12600A3E78AA1B>I<007FBAFCBB1280A26C1900CEFCB0007FBAFCBB1280A26C19004118 7BA44C>61 D<16C04B7EA34B7EA34B7EA34B7EA3ED19FEA3ED30FFA203707FED607FA203 E07FEDC03FA2020180ED801FA2DA03007F160FA20206801607A24A6D7EA34A6D7EA34A6D 7EA20270810260147FA202E08191B7FCA249820280C7121FA249C87F170FA20106821707 A2496F7EA3496F7EA3496F7EA201788313F8486C83D80FFF03037FB500E0027FEBFFC0A3 42477DC649>65 DI68 DI71 DII76 DII<49 B41303010FEBE007013F13F89039FE00FE0FD801F8131FD807E0EB079F49EB03DF48486D B4FC48C8FC4881003E81127E82127C00FC81A282A37E82A27EA26C6C91C7FC7F7FEA3FF8 13FE381FFFE06C13FE6CEBFFE06C14FC6C14FF6C15C0013F14F0010F80010180D9001F7F 14019138001FFF03031380816F13C0167F163F161F17E000C0150FA31607A37EA36C16C0 160F7E17806C151F6C16006C5D6D147ED8FBC05CD8F9F0495AD8F07C495A90393FC00FE0 D8E00FB51280010149C7FC39C0003FF02B487BC536>83 D85 DII<001FB81280A39126800001130001FC C7FC01F04A5A01C04A5A5B90C8485A121E4C5A484B5AA200384B5A4C5AA24B90C7FC0030 4A5AA24B5AA24B5AC8485AA24B5A4B5AA24B5A5C93C8FC4A5AA24A5A4A5AA24A5A4A5AA2 4A5A14FF5D4990C9FCEF0180495A495AA2495A494814031800495AA2495A495A5F4890C8 FC485A5F485A48485D5F48485D17FE484814034848140F16FFB8FCA331447BC33C>90 D97 DII<167FED3FFFA315018182B3EC7F80903803FFF090380FC07C 90383F000E017E1307496D5AD803F87F48487F5B000F81485AA2485AA2127FA290C8FC5A AB7E7FA2123FA26C7EA2000F5D7F6C6C5B00035C6C6C9038077F806C6C010E13C0013F01 1C13FE90380FC0F8903803FFE09026007F0013002F467DC436>III III<143C14FFA2491380A46D1300A2143C91C7FCADEC7F80EB 3FFFA31300147F143FB3B3AA123E127F39FF807F00A2147EA25C6C485A383C01F06C485A 3807FF80D801FEC7FC195785C21E>IIII<3901FC01FE00FF903807FFC091381E07F091383801F800070170 7F0003EBE0002601FDC07F5C01FF147F91C7FCA25BA35BB3A8486CECFF80B5D8F83F13FE A32F2C7DAB36>II<3901FC03FC00FF9038 0FFF8091383C07E091387001F83A07FDE000FE00030180137FD801FFEC3F8091C7EA1FC0 4915E049140F17F0160717F8160317FCA3EE01FEABEE03FCA3EE07F8A217F0160F6D15E0 EE1FC06D143F17806EEB7E00D9FDC05B9039FCF003F891383C0FE091381FFF80DA03FCC7 FC91C9FCAE487EB512F8A32F3F7DAB36>I<3903F803F000FFEB1FFCEC3C3EEC707F0007 EBE0FF3803F9C000015B13FBEC007E153C01FF13005BA45BB3A748B4FCB512FEA3202C7D AB26>114 D<90383FE0183901FFFC383907E01F78390F0003F8001E1301481300007C14 78127800F81438A21518A27EA27E6C6C13006C7E13FC383FFFE06C13FC6C13FF6C14C06C 14E0C614F0011F13F81300EC0FFC140300C0EB01FE1400157E7E153EA27EA36C143C6C14 7C15786C14F86CEB01F039F38003E039F1F00F8039E07FFE0038C00FF01F2E7DAC26>I< 1306A5130EA4131EA3133E137EA213FE12011207001FB512F0B6FCA2C648C7FCB3A4150C AA017E131C017F1318A26D133890381F8030ECC070903807E0E0903801FFC09038007F00 1E3E7EBC26>IIII121 D<003FB612E0A29038C0003F90C713C0003CEC7F800038ECFF00A20030495A0070495AA2 4A5A0060495AA24A5A4A5AA2C7485A4AC7FC5B5C495A13075C495A131F4A1360495A495A A249C712C0485AA2485A485A1501485A48481303A24848EB07804848131F00FF14FF90B6 FCA2232B7DAA2B>I<001EEB0780007FEB0FE039FF801FF0EBC03FA4EB801F397F000FE0 001EEB07801C0A76C231>127 D E %EndDVIPSBitmapFont %DVIPSBitmapFont: Fh cmbx12 14.4 8 /Fh 8 115 df<171F4D7E4D7EA24D7EA34C7FA24C7FA34C7FA34C7FA24C7FA34C808304 7F80167E8304FE804C7E03018116F8830303814C7E03078116E083030F814C7E031F8116 8083033F8293C77E4B82157E8403FE824B800201835D840203834B800207835D844AB87E A24A83A3DA3F80C88092C97E4A84A2027E8202FE844A82010185A24A820103854A820107 85A24A82010F855C011F717FEBFFFCB600F8020FB712E0A55B547BD366>65 D73 D97 DI<913803FFC0023F13FC49B6FC010715C04901817F903A3FFC007FF849486D7E 49486D7E4849130F48496D7E48178048497F18C0488191C7FC4817E0A248815B18F0A212 FFA490B8FCA318E049CAFCA6127FA27F7EA218E06CEE01F06E14037E6C6DEC07E0A26C6D EC0FC06C6D141F6C6DEC3F806D6CECFF00D91FFEEB03FE903A0FFFC03FF8010390B55A01 0015C0021F49C7FC020113F034387CB63D>101 D103 D108 D<90397FE003FEB59038 0FFF80033F13E04B13F09238FE1FF89139E1F83FFC0003D9E3E013FEC6ECC07FECE78014 EF150014EE02FEEB3FFC5CEE1FF8EE0FF04A90C7FCA55CB3AAB612FCA52F367CB537> 114 D E %EndDVIPSBitmapFont %DVIPSBitmapFont: Fi cmbx12 12 32 /Fi 32 128 df46 DII50 DI<4AB47E021F13F0027F13FC49B6FC01079038 807F8090390FFC001FD93FF014C04948137F4948EBFFE048495A5A1400485A120FA24848 6D13C0EE7F80EE1E00003F92C7FCA25B127FA2EC07FC91381FFF8000FF017F13E091B512 F89039F9F01FFC9039FBC007FE9039FF8003FF17804A6C13C05B6F13E0A24915F0A317F8 5BA4127FA5123FA217F07F121FA2000F4A13E0A26C6C15C06D4913806C018014006C6D48 5A6C9038E01FFC6DB55A011F5C010714C0010191C7FC9038003FF02D427BC038>54 D66 D68 D73 D77 D80 D83 D85 D87 D<903801FFE0011F13FE017F6D7E 48B612E03A03FE007FF84848EB1FFC6D6D7E486C6D7EA26F7FA36F7F6C5A6C5AEA00F090 C7FCA40203B5FC91B6FC1307013F13F19038FFFC01000313E0000F1380381FFE00485A5B 127F5B12FF5BA35DA26D5B6C6C5B4B13F0D83FFE013EEBFFC03A1FFF80FC7F0007EBFFF8 6CECE01FC66CEB8007D90FFCC9FC322F7DAD36>97 D99 DIII II< 137C48B4FC4813804813C0A24813E0A56C13C0A26C13806C1300EA007C90C7FCAAEB7FC0 EA7FFFA512037EB3AFB6FCA518467CC520>I108 D<90277F8007FEEC0FFCB590263FFFC090387FFF8092B5D8F001B512 E002816E4880913D87F01FFC0FE03FF8913D8FC00FFE1F801FFC0003D99F009026FF3E00 7F6C019E6D013C130F02BC5D02F86D496D7EA24A5D4A5DA34A5DB3A7B60081B60003B512 FEA5572D7CAC5E>I<90397F8007FEB590383FFF8092B512E0028114F8913987F03FFC91 388F801F000390399F000FFE6C139E14BC02F86D7E5CA25CA35CB3A7B60083B512FEA537 2D7CAC3E>II<90387F807F B53881FFE0028313F0028F13F8ED8FFC91389F1FFE000313BE6C13BC14F8A214F0ED0FFC 9138E007F8ED01E092C7FCA35CB3A5B612E0A5272D7DAC2E>114 D<90391FFC038090B51287000314FF120F381FF003383FC00049133F48C7121F127E00FE 140FA215077EA27F01E090C7FC13FE387FFFF014FF6C14C015F06C14FC6C800003806C15 806C7E010F14C0EB003F020313E0140000F0143FA26C141F150FA27EA26C15C06C141FA2 6DEB3F8001E0EB7F009038F803FE90B55A00FC5CD8F03F13E026E007FEC7FC232F7CAD2C >IIII127 D E %EndDVIPSBitmapFont end %%EndProlog %%BeginSetup %%Feature: *Resolution 600dpi TeXDict begin %%PaperSize: A4 %%EndSetup %%Page: 1 1 1 0 bop 324 548 a Fi(Mathematisc)m(hes)37 b(Institut)1318 b(WS)37 b(2002/2003)324 668 y(der)g(Univ)m(ersit)972 673 y(\177)973 668 y(at)f(M)1216 673 y(\177)1213 668 y(unc)m(hen)1657 b(Blatt)36 b(6)324 789 y(Prof.)h(Dr.)g(B.)g(P)m (areigis)1664 1263 y Fh(Algebra)45 b(I)394 1434 y Fg(21.)k(Sei)32 b Ff(X)40 b Fg(eine)33 b(b)s(eliebige)d(Menge.)k(Auf)f(der)g(Menge)1722 1674 y Ff(F)14 b Fg(\()p Ff(X)8 b Fg(\))27 b(:=)2153 1550 y Fe(1)2133 1579 y Fd([)2122 1789 y Fc(n)p Fb(=0)2271 1674 y Ff(X)2360 1633 y Fc(n)568 1925 y Fg(de\014nieren)33 b(wir)f(eine)h(Multiplik)-5 b(ation)28 b(durc)m(h)745 2095 y(\()p Ff(x)838 2110 y Fb(1)878 2095 y Ff(;)17 b(x)977 2110 y Fb(2)1017 2095 y Ff(;)g(:)g(:)g(:)e(;)i(x)1290 2110 y Fc(n)1337 2095 y Fg(\)\()p Ff(y)1461 2110 y Fb(1)1500 2095 y Ff(;)g(y)1592 2110 y Fb(2)1631 2095 y Ff(;)g(:)g(:)g(:)f(;)h(y) 1898 2110 y Fc(m)1964 2095 y Fg(\))27 b(:=)h(\()p Ff(x)2253 2110 y Fb(1)2293 2095 y Ff(;)17 b(x)2392 2110 y Fb(2)2431 2095 y Ff(;)g(:)g(:)g(:)f(;)h(x)2705 2110 y Fc(n)2752 2095 y Ff(;)g(y)2844 2110 y Fb(1)2883 2095 y Ff(;)g(y)2975 2110 y Fb(2)3014 2095 y Ff(;)g(:)g(:)g(:)e(;)i(y)3280 2110 y Fc(m)3346 2095 y Fg(\))568 2264 y(Dab)s(ei)34 b(ist)i Ff(X)1083 2228 y Fb(0)1156 2264 y Fg(=)e Ff(Abb)p Fg(\()p Fa(;)p Ff(;)17 b(X)8 b Fg(\))36 b(einelemen)m(tig;)e(das)j (eindeutig)e(b)s(estimm)m(te)g(Ele-)568 2385 y(men)m(t)d(hei\031t)g (das)h(leere)g(W)-8 b(ort)32 b(und)h(ist)f(das)h(neutrale)f(Elemen)m(t) g(b)s(ez)3122 2389 y(\177)3119 2385 y(uglic)m(h)g(die-)568 2505 y(ser)41 b(V)-8 b(erkn)982 2509 y(\177)979 2505 y(upfung.)43 b Ff(F)14 b Fg(\()p Ff(X)8 b Fg(\))40 b(wird)h(auf)g (diese)g(W)-8 b(eise)41 b(zu)h(einem)e(Monoid,)h(dem)568 2626 y(sog.)32 b(freien)h(Monoid)1389 2630 y(\177)1387 2626 y(ub)s(er)f Ff(X)8 b Fg(.)33 b(Durc)m(h)1555 2795 y Ff(\023)28 b Fg(:)g Ff(X)35 b Fa(!)27 b Ff(F)14 b Fg(\()p Ff(X)8 b Fg(\))p Ff(;)49 b(x)28 b Fa(7!)f Fg(\()p Ff(x)p Fg(\))568 2965 y(ist)41 b Ff(X)49 b Fg(in)41 b Ff(F)14 b Fg(\()p Ff(X)8 b Fg(\))41 b(eingeb)s(ettet.)h(Zeigen)f(Sie:)h(Ist)g Ff(M)52 b Fg(irgendein)41 b(Monoid)g(und)568 3085 y Ff(f)46 b Fg(:)36 b Ff(X)43 b Fa(!)36 b Ff(M)48 b Fg(irgendeine)37 b(Abbildung,)f(so)h(gibt)g(es)h(genau)f(einen)h(Monoidho-)568 3205 y(momorphism)m(us)30 b Ff(g)h Fg(:)d Ff(F)14 b Fg(\()p Ff(X)8 b Fg(\))27 b Fa(!)h Ff(M)43 b Fg(mit)31 b Ff(g)25 b Fa(\016)d Ff(\023)28 b Fg(=)g Ff(f)11 b Fg(.)952 b(\(5\))394 3394 y(22.)49 b(Seien)31 b Ff(G)f Fg(und)i Ff(H)38 b Fg(zw)m(ei)31 b(Grupp)s(en.)g Ff(E)6 b Fg(\()p Ff(G)19 b Fa([)g Ff(H)8 b Fg(\))30 b(sei)h(die)f(freie)g(Grupp)s(e)3206 3398 y(\177)3203 3394 y(ub)s(er)h(der)568 3515 y(disjunkten)37 b(V)-8 b(ereinigung)35 b Ff(G)25 b Fa([)g Ff(H)8 b Fg(;)36 b(die)f(k)-5 b(anonisc)m(he)38 b(Ein)m(b)s(ettung)e(b)s(ezeic)m(hnen) 568 3635 y(wir)c(mit)1576 3756 y Ff(\023)c Fg(:)f Ff(G)c Fa([)f Ff(H)35 b Fa(!)28 b Ff(E)6 b Fg(\()p Ff(G)22 b Fa([)g Ff(H)8 b Fg(\))568 3908 y(Sei)34 b Ff(N)45 b Fg(der)35 b(Durc)m(hsc)m(hnitt)g(aller)e(Normalteiler)e(v)m(on)36 b Ff(E)6 b Fg(\()p Ff(G)23 b Fa([)h Ff(H)8 b Fg(\),)34 b(die)g(die)g(Ele-)568 4029 y(men)m(te)1188 4149 y Ff(\023)p Fg(\()p Ff(g)t(g)1362 4108 y Fe(0)1384 4149 y Fg(\))p Ff(\023)p Fg(\()p Ff(g)t Fg(\))1583 4108 y Fe(\000)p Fb(1)1677 4149 y Ff(\023)p Fg(\()p Ff(g)1800 4108 y Fe(0)1823 4149 y Fg(\))1861 4108 y Fe(\000)p Fb(1)2150 4149 y Ff(\023)p Fg(\()p Ff(hh)2334 4108 y Fe(0)2358 4149 y Fg(\))p Ff(\023)p Fg(\()p Ff(h)p Fg(\))2562 4108 y Fe(\000)p Fb(1)2657 4149 y Ff(\023)p Fg(\()p Ff(h)2785 4108 y Fe(0)2809 4149 y Fg(\))2847 4108 y Fe(\000)p Fb(1)568 4302 y Fg(f)601 4306 y(\177)598 4302 y(ur)f Ff(g)t(;)17 b(g)869 4266 y Fe(0)920 4302 y Fa(2)30 b Ff(G)k Fg(und)g Ff(h;)17 b(h)1479 4266 y Fe(0)1532 4302 y Fa(2)30 b Ff(H)41 b Fg(en)m(thalten,)34 b(und)g(sei)g Ff(G)23 b Fa(\003)f Ff(H)38 b Fg(:=)29 b Ff(E)6 b Fg(\()p Ff(G)23 b Fa([)g Ff(H)8 b Fg(\))p Ff(=)-5 b(N)10 b Fg(.)568 4422 y(Zeigen)45 b(Sie:)h(Sind)f Ff(f)1371 4437 y Fc(G)1481 4422 y Fg(:)50 b Ff(G)h Fa(!)f Ff(F)59 b Fg(und)47 b Ff(f)2215 4437 y Fc(H)2332 4422 y Fg(:)k Ff(H)58 b Fa(!)50 b Ff(F)59 b Fg(zw)m(ei)47 b(Grupp)s(enho-)568 4543 y(momorphismen)f(in)i(eine)h (b)s(eliebige)e(Grupp)s(e)i Ff(F)14 b Fg(,)48 b(so)h(gibt)f(es)h(genau) g(einen)568 4663 y(Grupp)s(enhomomorphism)m(us)31 b Ff(k)g Fg(:)c Ff(G)22 b Fa(\003)g Ff(H)36 b Fa(!)27 b Ff(F)46 b Fg(mit)1302 4833 y Ff(k)s Fg(\()p 1394 4746 161 4 v Ff(\023)p Fg(\()p Ff(g)t Fg(\)\))27 b(=)h Ff(f)1772 4848 y Fc(G)1831 4833 y Fg(\()p Ff(g)t Fg(\))194 b Ff(k)s Fg(\()p 2244 4746 167 4 v Ff(\023)p Fg(\()p Ff(h)p Fg(\))q(\))27 b(=)h Ff(f)2628 4848 y Fc(H)2695 4833 y Fg(\()p Ff(h)p Fg(\))568 5002 y(f)601 5006 y(\177)598 5002 y(ur)k(alle)f Ff(g)g Fa(2)d Ff(G)k Fg(und)i(alle)c Ff(h)e Fa(2)g Ff(H)8 b Fg(.)1587 b(\(5\))p eop %%Page: 2 2 2 1 bop 394 548 a Fg(23.)49 b(Bestimmen)23 b(Sie)g(alle)f(Un)m (tergrupp)s(en)k(der)e(alternierenden)g(Grupp)s(e)g Ff(A)3214 563 y Fb(4)3253 548 y Fg(.)g(Zeic)m(h-)568 668 y(nen)f(Sie)g(alle)e(Un) m(tergrupp)s(en)k(in)d(ein)h(Diagramm,)c(das)24 b(graphisc)m(h)f (darstellt,)f(wie)568 789 y(die)h(Un)m(tergrupp)s(en)h(ineinander)f(en) m(thalten)g(sind.)h(\(Hin)m(w)m(eis:)f(Sie)g(sollen)f(also)h(ei-)568 909 y(nerseits)30 b(ein)f(Bild)e(malen,)i(andererseits)h(b)s(ew)m (eisen,)h(da\031)e(Ihre)h(Un)m(tergrupp)s(en-)568 1029 y(Liste)i(v)m(ollst)1037 1033 y(\177)1037 1029 y(andig)f(ist.\))1966 b(\(5\))394 1233 y(24.)49 b(Man)26 b(b)s(estimme)e(alle)g(Sylo)m(wun)m (tergrupp)s(en)k(der)e(symmetrisc)m(hen)g(Grupp)s(en)g Ff(S)3522 1248 y Fb(4)568 1353 y Fg(und)33 b Ff(S)823 1368 y Fb(5)862 1353 y Fg(.)g(\(Hin)m(w)m(eis:)g(Bew)m(eisen)h(Sie,)e (da\031)g(Ihre)i(Listen)e(v)m(ollst)2862 1357 y(\177)2862 1353 y(andig)f(sind.\))71 b(\(5\))324 1582 y(Abgab)s(e:)28 b(Dienstag,)e(10.12.2002,)g(11.15)h(Uhr,)2112 1560 y(\177)2100 1582 y(Ubungsk)2473 1586 y(\177)2473 1582 y(asten)j(im)c(1.)h(Sto)s(c)m (k)h(des)h(Ma-)324 1702 y(thematisc)m(hen)k(Instituts.)324 1822 y(Bitte)f(geb)s(en)h(Sie)f(auf)g(Ihrer)h(L)1475 1826 y(\177)1475 1822 y(osung)g(Ihren)h(Namen)e(und)h(Ihre)2753 1801 y(\177)2741 1822 y(Ubungsgrupp)s(e)h(an.)p eop %%Trailer end userdict /end-hook known{end-hook}if %%EOF