%!PS-Adobe-2.0 %%Creator: dvips(k) 5.95b Copyright 2005 Radical Eye Software %%Title: D:/F/Data1/UNI/INSTITUT/VORLESUN/SS00/UEBUNG08.dvi %%CreationDate: Mon Mar 03 13:32:34 2008 %%Pages: 1 %%PageOrder: Ascend %%BoundingBox: 0 0 595 842 %%DocumentFonts: CMBX12 CMR17 CMR12 CMSY10 CMMI12 MSBM10 CMMI8 CMR8 %%+ CMEX10 %%DocumentPaperSizes: a4 %%EndComments %DVIPSWebPage: (www.radicaleye.com) %DVIPSCommandLine: "C:\Programme\MiKTeX 2.5\miktex\bin\dvips.exe" %+ D:/F/Data1/UNI/INSTITUT/VORLESUN/SS00/UEBUNG08.dvi %DVIPSParameters: dpi=600 %DVIPSSource: TeX output 2008.03.03:1332 %%BeginProcSet: tex.pro 0 0 %! /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/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]{Ci}imagemask restore}B/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: texps.pro 0 0 %! 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]/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[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 %%BeginFont: CMEX10 %!PS-AdobeFont-1.1: CMEX10 1.00 %%CreationDate: 1992 Jul 23 21:22:48 % Copyright (C) 1997 American Mathematical Society. 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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 89 /productdisplay put readonly def /FontBBox{-24 -2960 1454 772}readonly def currentdict end currentfile eexec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cleartomark %%EndFont %%BeginFont: CMR8 %!PS-AdobeFont-1.1: CMR8 1.0 %%CreationDate: 1991 Aug 20 16:39:40 % Copyright (C) 1997 American Mathematical Society. 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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 49 /one put dup 50 /two put dup 51 /three put dup 61 /equal put readonly def /FontBBox{-36 -250 1070 750}readonly def currentdict end currentfile eexec D9D66F633B846A97B686A97E45A3D0AA052A014267B7904EB3C0D3BD0B83D891 016CA6CA4B712ADEB258FAAB9A130EE605E61F77FC1B738ABC7C51CD46EF8171 9098D5FEE67660E69A7AB91B58F29A4D79E57022F783EB0FBBB6D4F4EC35014F D2DECBA99459A4C59DF0C6EBA150284454E707DC2100C15B76B4C19B84363758 469A6C558785B226332152109871A9883487DD7710949204DDCF837E6A8708B8 2BDBF16FBC7512FAA308A093FE5CF4E9D2405B169CD5365D6ECED5D768D66D6C 68618B8C482B341F8CA38E9BB9BAFCFAAD9C2F3FD033B62690986ED43D9C9361 3645B82392D5CAE11A7CB49D7E2E82DCD485CBA1772CE422BB1D7283AD675B65 48A7EA0069A883EC1DAA3E1F9ECE7586D6CF0A128CD557C7E5D7AA3EA97EBAD3 9619D1BFCF4A6D64768741EDEA0A5B0EFBBF347CDCBE2E03D756967A16B613DB 0FC45FA2A3312E0C46A5FD0466AB097C58FFEEC40601B8395E52775D0AFCD7DB 8AB317333110531E5C44A4CB4B5ACD571A1A60960B15E450948A5EEA14DD330F EA209265DB8E1A1FC80DCD3860323FD26C113B041A88C88A21655878680A4466 FA10403D24BB97152A49B842C180E4D258C9D48F21D057782D90623116830BA3 9902B3C5F2F2DD01433B0D7099C07DBDE268D0FFED5169BCD03D48B2F058AD62 D8678C626DC7A3F352152C99BA963EF95F8AD11DB8B0D351210A17E4C2C55AD8 9EB64172935D3C20A398F3EEEEC31551966A7438EF3FEE422C6D4E05337620D5 ACC7B52BED984BFAAD36EF9D20748B05D07BE4414A63975125D272FAD83F76E6 10FFF8363014BE526D580873C5A42B70FA911EC7B86905F13AFE55EB0273F582 83158793B8CC296B8DE1DCCF1250FD57CB0E035C7EDA3B0092ED940D37A05493 2EC54E09B984FCA4AB7D2EA182BCF1263AA244B07EC0EA901C077A059F709F30 4384CB5FA748F2054FAD9A7A43D4EA427918BD414F766531136B60C3477C6632 BEFE3897B58C19276A301926C2AEF2756B367319772C9B201C49B4D935A8267B 041D6F1783B6AEA4DAC4F5B3507D7032AA640AAB12E343A4E9BDCF419C04A721 3888B25AF4E293AACED9A6BDC78E61DA1C424C6503CC1885F762BE0618B16C14 7386EB4C4B9B3142B9662F48DA723079108398B61EB859739E028C0C673C3E64 C08C3213E7A9ADF9570CB0DF3C01FD9D905F01E8587D35421CD2F96A1EEE82E9 DE47A4656CD75A882AD299333032FA183BA3CDDA9A88BAC297A878C886C02069 E88597A851BB78E95B1D1D5BFA6098219B2495650CD0C80E05C23C2C641A41A3 5364975AAC2B2E14EF9CE6B785318D370319D3CB4C524777AE7CFDA89034350E 19888E124037F0B85966EDFF59CEF8020A49E1389443F8A91FB4C94E763B1ED6 FEC1823E2FD955EE817A7AED2CF459D460FE558F355798E12D9007CBB3C13979 A08C5C739B0A484C17717CC0BE94092FDABC2BEACA5B3DF866FBAB02D675C8EF FEB829CE7306224FE4622017E5C48A2DD5DBA288F74C60824A286BC53F8BD7A2 4F93E0AE61CC7308A56CC1995534EFCD8D6344F085AB589E32246F6ACD92528D 556C0208F7D17D72A3DE2537587D22694E987A582C95A5A24EDBAF25E0EC3A8D 28D19262119E10CDFBAEC6DE6AC5F0E44B7B759D676BBA41B97A358E48FD10A2 8FEE9760A94B4FE9161F74F12C6C3C2CBF5EB56147E95FFC693FE4C88BEED81B DC1C4DC8BEB4B103C2967F76DF1512C72C074F317C92AA76693B21994E7B1304 D81ECB167A80A7023DE87858DEBC1A4D4C401118B52AE133A3453958F1EB72AA FB012B2D20BEAB3CF5F78A7F107ACF66211D8F2E7D86F1CE914BF40ACFDA2725 8F71B291DC824432575C38E472A23CB3F1DC3360AC1202808FD220233D26BF15 CABDF257E87E7D0EAE98E687F71270C9E5E6F4A8F37AC4770149E61076973154 3432A1D07311127B632FC29AFBBF75B90A7EA5F08D2D5117178886A7406D7524 0F39CE8F3D77932B9BD578C44BDA3E5FCEBE1C2BB31AFB38078E66ABB8DABF13 35472E2B8E4E854400131EE3AFD68E3DBB406903B156E7A538EFBF6D393FC938 ACECD9440F8778EBDBEE7518F0B669851193B6BCA6 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 65 /A put dup 105 /i put readonly def /FontBBox{-24 -250 1110 750}readonly def currentdict end currentfile eexec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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 81 /Q put readonly def /FontBBox{-55 -420 2343 920}readonly def currentdict end currentfile eexec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cleartomark %%EndFont %%BeginFont: CMMI12 %!PS-AdobeFont-1.1: CMMI12 1.100 %%CreationDate: 1996 Jul 27 08:57:55 % Copyright (C) 1997 American Mathematical Society. All Rights Reserved. 11 dict begin /FontInfo 7 dict dup begin /version (1.100) readonly def /Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def /FullName (CMMI12) readonly def /FamilyName (Computer Modern) readonly def /Weight (Medium) readonly def /ItalicAngle -14.04 def /isFixedPitch false def end readonly def /FontName /CMMI12 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 19 /iota put dup 59 /comma put dup 65 /A put dup 66 /B put dup 67 /C put dup 105 /i put readonly def /FontBBox{-30 -250 1026 750}readonly def currentdict end currentfile eexec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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 /minus put dup 2 /multiply put dup 24 /similar put dup 33 /arrowright put dup 50 /element put dup 59 /emptyset put dup 67 /C put dup 113 /coproduct put readonly def /FontBBox{-29 -960 1116 775}readonly def currentdict end currentfile eexec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cleartomark %%EndFont %%BeginFont: CMR12 %!PS-AdobeFont-1.1: CMR12 1.0 %%CreationDate: 1991 Aug 20 16:38:05 % 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 (CMR12) readonly def /FamilyName (Computer Modern) readonly def /Weight (Medium) readonly def /ItalicAngle 0 def /isFixedPitch false def end readonly def /FontName /CMR12 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 8 /Phi put dup 40 /parenleft put dup 41 /parenright put dup 44 /comma put dup 45 /hyphen put dup 46 /period put dup 48 /zero put dup 49 /one put dup 50 /two put dup 51 /three put dup 55 /seven put dup 58 /colon put dup 61 /equal put dup 65 /A put dup 66 /B put dup 68 /D put dup 70 /F put dup 73 /I put dup 74 /J put dup 75 /K put dup 77 /M put dup 78 /N put dup 79 /O put dup 80 /P put dup 83 /S put dup 86 /V put dup 90 /Z put dup 97 /a put dup 98 /b put dup 100 /d put dup 101 /e put dup 102 /f put dup 103 /g put dup 104 /h put dup 105 /i put dup 106 /j put dup 107 /k put dup 108 /l put dup 109 /m put dup 110 /n put dup 111 /o put dup 112 /p put dup 114 /r put dup 115 /s put dup 116 /t put dup 117 /u put dup 118 /v put dup 119 /w put dup 122 /z put dup 127 /dieresis put readonly def /FontBBox{-34 -251 988 750}readonly def currentdict end currentfile eexec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0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 cleartomark %%EndFont %%BeginFont: CMR17 %!PS-AdobeFont-1.1: CMR17 1.0 %%CreationDate: 1991 Aug 20 16:38:24 % Copyright (C) 1997 American Mathematical Society. All Rights Reserved. 11 dict begin /FontInfo 7 dict dup begin /version (1.0) readonly def /Notice (Copyright (C) 1997 American Mathematical Society. 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cleartomark %%EndFont %%BeginFont: CMBX12 %!PS-AdobeFont-1.1: CMBX12 1.0 %%CreationDate: 1991 Aug 20 16:34:54 % Copyright (C) 1997 American Mathematical Society. All Rights Reserved. 11 dict begin /FontInfo 7 dict dup begin /version (1.0) readonly def /Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def /FullName (CMBX12) readonly def /FamilyName (Computer Modern) readonly def /Weight (Bold) readonly def /ItalicAngle 0 def /isFixedPitch false def end readonly def /FontName /CMBX12 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 46 /period put dup 48 /zero put dup 49 /one put dup 50 /two put dup 51 /three put dup 56 /eight put dup 57 /nine put dup 65 /A put dup 66 /B put dup 68 /D put dup 73 /I put dup 77 /M put dup 80 /P put dup 83 /S put dup 84 /T put dup 85 /U put dup 86 /V put dup 97 /a put dup 98 /b put dup 99 /c put dup 100 /d put dup 101 /e put dup 102 /f put dup 103 /g put dup 104 /h put dup 105 /i put dup 107 /k put dup 108 /l put dup 109 /m put dup 110 /n put dup 111 /o put dup 112 /p put dup 114 /r put dup 115 /s put dup 116 /t put dup 117 /u put dup 118 /v put dup 127 /dieresis put readonly def /FontBBox{-53 -251 1139 750}readonly def 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cleartomark %%EndFont TeXDict begin 39139632 55387786 1000 600 600 (D:/F/Data1/UNI/INSTITUT/VORLESUN/SS00/UEBUNG08.dvi) @start /Fa 166[127 89[{}1 99.6264 /CMEX10 rf /Fb 194[55 9[35 35 35 49[{}4 66.4176 /CMR8 rf /Fc 150[24 39[53 65[{}2 66.4176 /CMMI8 rf /Fd 174[77 81[{}1 99.6264 /MSBM10 rf /Fe 150[33 37[70 74 73 5[27 39[34 19[{}6 99.6264 /CMMI12 rf /Ff 142[75 45[52 7[50 8[66 16[100 8[77 21[77 1[77{}8 99.6264 /CMSY10 rf /Fg 128[49 4[43 2[70 51 54 38 38 38 1[54 49 54 81 27 51 30 27 54 49 30 43 54 1[54 49 6[60 3[73 2[54 2[66 76 73 89 1[76 50 35 2[64 1[75 1[69 73 3[76 2[27 2[49 3[49 49 49 49 1[27 33 27 2[38 38 31[70 8[{}50 99.6264 /CMR12 rf /Fh 128[66 4[58 4[73 51 1[51 2[66 73 4[36 73 66 40 58 73 1[73 66 11[99 9[103 5[90 69[{}18 143.462 /CMR17 rf /Fi 128[56 8[59 62 44 44 46 1[62 56 62 93 31 59 1[31 62 56 34 51 62 50 62 54 10[85 86 78 62 2[77 2[106 3[42 4[86 1[80 85 7[56 56 4[56 56 56 56 1[31 46[{}38 99.6264 /CMBX12 rf end %%EndProlog %%BeginSetup %%Feature: *Resolution 600dpi TeXDict begin %%PaperSize: A4 end %%EndSetup %%Page: 1 1 TeXDict begin 1 0 bop 115 355 a Fi(Mathematisc)m(hes)39 b(Institut)100 471 y(der)33 b(Univ)m(ersit)742 476 y(\177)743 471 y(at)h(M)984 476 y(\177)981 471 y(unc)m(hen)206 588 y(Prof.)j(Dr.)g(B.)g(P)m(areigis)3104 354 y(SS)h(2000)3124 471 y(Blatt)f(8)413 1084 y Fh(\177)396 1116 y(Ubungen)45 b(zu)f(Einf)1374 1121 y(\177)1370 1116 y(uhrung)g(in)g(die)f (Kategorien)l(theorie)0 1370 y Fi(Aufgab)s(e)c(29.)190 b Fg(\(1\))41 b(Bestimmen)29 b(Sie)f(die)g(Diagonale)e(und)i(die)f(Ko)s (diagonale)g(f)3130 1374 y(\177)3127 1370 y(ur)g(das)g(Pro-)315 1487 y(dukt)33 b(bzw.)h(das)e(Kopro)s(dukt)h(v)m(on)g(je)g(zw)m(ei)h (Ob)5 b(jekten)34 b(in)f Ff(C)39 b Fg(f)2615 1491 y(\177)2612 1487 y(ur)32 b Ff(C)i Fg(=)28 b Fi(V)-9 b(ek)o Fe(;)17 b Fi(T)-9 b(op)p Fg(.)148 1603 y(\(2\))42 b(Bestimmen)34 b(Sie)f(die)g(Diagonale)f(in)h Fd(Q)23 b Ff(\002)f Fd(Q)33 b Fg(in)g(der)g(Kategorie)g(der)g(K)2985 1607 y(\177)2985 1603 y(orp)s(er.)0 1895 y Fi(Aufgab)s(e)39 b(30.)190 b Fg(\(1\))41 b(Sei)k Ff(C)50 b Fg(eine)45 b(Kategorie)f(mit)g(einem)i (Nullob)5 b(jekt.)45 b(Seien)h Fe(A;)17 b(B)52 b Ff(2)c(C)6 b Fg(.)315 2012 y(Dann)32 b(gibt)g(es)i(einen)f(Morphism)m(us)i Fe(A)22 b Ff(q)g Fe(B)33 b Ff(\000)-16 b(!)27 b Fe(A)c Ff(\002)f Fe(B)5 b Fg(.)148 2128 y(\(2\))42 b(Finden)33 b(Sie)g(ein)g(Beispiel)h(f)1353 2132 y(\177)1350 2128 y(ur)f(Mengen)h Fe(A;)17 b(B)37 b Fg(mit)c(Abb\()p Fe(A)23 b Ff(q)f Fe(B)5 b(;)17 b(A)22 b Ff(\002)g Fe(B)5 b Fg(\))28 b(=)g Ff(;)p Fg(.)0 2420 y Fi(Aufgab)s(e)39 b(31.)i Fg(Seien)34 b Fe(A)958 2435 y Fc(i)1014 2420 y Ff(2)28 b(C)6 b Fe(;)17 b(i)28 b Fg(=)g(1)p Fe(;)17 b Fg(2)p Fe(;)g Fg(3.)31 b(Zeigen)i(Sie)1282 2666 y(\()p Fe(A)1393 2681 y Fb(1)1455 2666 y Ff(\002)23 b Fe(A)1628 2681 y Fb(2)1667 2666 y Fg(\))f Ff(\002)h Fe(A)1900 2681 y Fb(3)1967 2638 y Ff(\030)1968 2670 y Fg(=)2118 2541 y Fb(3)2072 2571 y Fa(Y)2079 2781 y Fc(i)p Fb(=1)2216 2666 y Fe(A)2289 2681 y Fc(i)0 2850 y Fg(.)0 3142 y Fi(Aufgab)s(e)39 b(32.)i Fg(Sei)33 b(\010)g(ein)h(Ob)5 b(jekt)33 b(in)g Ff(C)6 b Fg(.)33 b(Zeigen)g(Sie:)100 3259 y(\010)g(ist)g(genau)f(dann)h(ein)g(leeres)i(Ob)5 b(jekt,)33 b(w)m(enn)h(gelten)148 3395 y(\(1\))42 b(f)348 3399 y(\177)345 3395 y(ur)32 b(alle)h Fe(A)28 b Ff(2)g Fe(C)39 b Fg(ist)33 b Fe(A)23 b Ff(\002)f Fg(\010)1381 3368 y Ff(\030)1382 3399 y Fg(=)1486 3395 y(\010)148 3511 y(\(2\))42 b(f)348 3515 y(\177)345 3511 y(ur)32 b(alle)h Fe(A)28 b Ff(2)g Fe(C)39 b Fg(ist)33 b Fe(\023)1122 3526 y Fc(A)1207 3511 y Fg(:)28 b Fe(A)g Ff(\000)-16 b(!)27 b Fe(A)22 b Ff(q)g Fg(\010)33 b(ein)g(Isomorphism)m(us.)100 5128 y(Abgab)s(e:)f(Dienstag,)h(27.)f(Juni)h(2000)f(in)h(der)g(V)-8 b(orlesung)p eop end %%Trailer userdict /end-hook known{end-hook}if %%EOF