%!PS-Adobe-2.0 %%Creator: dvips(k) 5.96dev Copyright 2007 Radical Eye Software %%Title: blatt8.dvi %%CreationDate: Thu Dec 04 10:10:21 2008 %%Pages: 1 %%PageOrder: Ascend %%BoundingBox: 0 0 595 842 %%DocumentFonts: SFRM1000 SFBX1440 SFRM1440 SFBX1000 CMMI10 CMSY10 CMR10 %%+ MSBM10 CMMI7 CMEX10 CMR5 CMR7 CMSY7 CMMI5 %%DocumentPaperSizes: a4 %%EndComments %DVIPSWebPage: (www.radicaleye.com) %DVIPSCommandLine: dvips -D600 blatt8.dvi %DVIPSParameters: dpi=600 %DVIPSSource: TeX output 2008.12.04:1010 %%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: cm-super-t1.enc 0 0 % This file is generated from `T1uni.map' and `glyphlist.txt', `gl-other.txt' % % LIGKERN hyphen hyphen =: endash ; 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All Rights Reserved) readonly def /FullName (CMSY7) readonly def /FamilyName (Computer Modern) readonly def /Weight (Medium) readonly def /ItalicAngle -14.035 def /isFixedPitch false def end readonly def /FontName /CMSY7 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 0 /minus put dup 21 /greaterequal put dup 49 /infinity put dup 102 /braceleft put dup 103 /braceright put readonly def /FontBBox{-15 -951 1252 782}readonly def currentdict end currentfile eexec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cleartomark %%EndFont %%BeginFont: CMR7 %!PS-AdobeFont-1.1: CMR7 1.0 %%CreationDate: 1991 Aug 20 16:39:21 % Copyright (C) 1997 American Mathematical Society. All Rights Reserved. 11 dict begin /FontInfo 7 dict dup begin /version (1.0) readonly def /Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def /FullName (CMR7) readonly def /FamilyName (Computer Modern) readonly def /Weight (Medium) readonly def /ItalicAngle 0 def /isFixedPitch false def end readonly def /FontName /CMR7 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 33 /exclam put dup 40 /parenleft put dup 41 /parenright put dup 48 /zero put dup 49 /one put readonly def /FontBBox{-27 -250 1122 750}readonly def currentdict end currentfile eexec D9D66F633B846A97B686A97E45A3D0AA052A014267B7904EB3C0D3BD0B83D891 016CA6CA4B712ADEB258FAAB9A130EE605E61F77FC1B738ABC7C51CD46EF8171 9098D5FEE67660E69A7AB91B58F29A4D79E57022F783EB0FBBB6D4F4EC35014F D2DECBA99459A4C59DF0C6EBA150284454E707DC2100C15B76B4C19B84363758 469A6C558785B226332152109871A9883487DD7710949204DDCF837E6A8708B8 2BDBF16FBC7512FAA308A093FE5CF5B8CABB9FFC6CC3F1E9AE32F234EB60FE7D E34995B1ACFF52428EA20C8ED4FD73E3935CEBD40E0EAD70C0887A451E1B1AC8 47AEDE4191CCDB8B61345FD070FD30C4F375D8418DDD454729A251B3F61DAE7C 8882384282FDD6102AE8EEFEDE6447576AFA181F27A48216A9CAD730561469E4 78B286F22328F2AE84EF183DE4119C402771A249AAC1FA5435690A28D1B47486 1060C8000D3FE1BF45133CF847A24B4F8464A63CEA01EC84AA22FD005E74847E 01426B6890951A7DD1F50A5F3285E1F958F11FC7F00EE26FEE7C63998EA1328B C9841C57C80946D2C2FC81346249A664ECFB08A2CE075036CEA7359FCA1E90C0 F686C3BB27EEFA45D548F7BD074CE60E626A4F83C69FE93A5324133A78362F30 8E8DCC80DD0C49E137CDC9AC08BAE39282E26A7A4D8C159B95F227BDA2A281AF A9DAEBF31F504380B20812A211CF9FEB112EC29A3FB3BD3E81809FC6293487A7 455EB3B879D2B4BD46942BB1243896264722CB59146C3F65BD59B96A74B12BB2 9A1354AF174932210C6E19FE584B1B14C00E746089CBB17E68845D7B3EA05105 EEE461E3697FCF835CBE6D46C75523478E766832751CF6D96EC338BDAD57D53B 52F5340FAC9FE0456AD13101824234B262AC0CABA43B62EBDA39795BAE6CFE97 563A50AAE1F195888739F2676086A9811E5C9A4A7E0BF34F3E25568930ADF80F 0BDDAC3B634AD4BA6A59720EA4749236CF0F79ABA4716C340F98517F6F06D9AB 7ED8F46FC1868B5F3D3678DF71AA772CF1F7DD222C6BF19D8EF0CFB7A76FC6D1 0AD323C176134907AB375F20CFCD667AB094E2C7CB2179C4283329C9E435E7A4 1E042AD0BAA059B3F862236180B34D3FCED833472577BACD472A49A93DBF6953 27E62C03870E8063F974AF7FA63D69CB450A258E7C10EF46C24C5721D677CD83 055B7176CB387F2E4F1D57907ED755611DDF8ED9B1B21E125D7EF8B607EE59E5 F4D487385ED3ACEFACBEE5AFB3C2DC998B07A60D944C2B077F2C9C00C9BD4484 8F8EBF25EDE12CF84FDA41688C34229BA9A8258725671F512BEE17029024B118 8D3728AD92BE91F8B5B315DD0698488C395901A5A0FB2E11ADD17F5BAFB7CD6D D8473F80734A8D56BFF0CE9425F61951ECE7A881AD61BF84249E8F79C46AA298 5E3D05A7442BB42B1E4EC5BD0D40F6A95F6E4AC1525ACAA43C606420860B788E 989416FC584E0FE12D4FD6AE56CAAC817E55069CBEDD84CAD10CFBC39AFFEE3A 06764DAE21B952E1140E10250AC343F76BD77D3017329105149938DB1C09BA22 C8B6345454EB4328AB0042BC4F2A557B19EDC57C17864D623FFFEB565AA5F64B 614110EB5DE347E1D6FF73751B9116E48D5803632A769BAE76B9E5D097973353 2D95501D877386D1154CDFCBE64D4AE9618344E799CB09BBEB1FCA30207A4B11 6A9FF506F41EBEAD63C800AD87095F015E83D864D5761E082AB54D302EB7E151 2BC2F0C4E65BA51701DE5CFA06FF6A2CEF83CC3E2A5AD05584508FEC1AFBF7AA C4ED2CD2F9D571096706C7DB81033213EB7E0D7F3E7114674EE435FDAD8C3344 05AACD1AD1D8CBEBBE15AAA6B791937B457C9CD1F2A3B35000232C0423C0CD06 6BC40606B8CF5484591DAD034F87EE4160351A8D0AC91A596B502035BB55F6A8 99C4B866F1D258C16687B9E72DC466812FCA903D9CAFB51D884AC5F276DC0233 B210EB58084BC4BF29BE57AC6A79557CFB6F242A977A9999A81F1B5EBF5F7C80 DC363BA25EC351C7D7AC1C511C19C6410A2E7697AE2E7387D6D0ED5B844EB07E 543278C55C60041054D1EE85B548E673C12A011E35C54F40B6305E91AC0AA295 51A2E4D19CAD20647D1317D2E1BC44EBC5CB3DE5BB99201E8F3FE2BB31F960FD 33AD039ED8403A0ACE7F274347F7EB5ACE12BC1FBFFAECAD171B40AC779E3EDF 010A50FCB263B53340FFD311E8C384284823924962 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 cleartomark %%EndFont %%BeginFont: CMR5 %!PS-AdobeFont-1.1: CMR5 1.00B %%CreationDate: 1992 Feb 19 19:55:02 % Copyright (C) 1997 American Mathematical Society. All Rights Reserved. 11 dict begin /FontInfo 7 dict dup begin /version (1.00B) readonly def /Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def /FullName (CMR5) readonly def /FamilyName (Computer Modern) readonly def /Weight (Medium) readonly def /ItalicAngle 0 def /isFixedPitch false def end readonly def /FontName /CMR5 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 49 /one put dup 50 /two put readonly def /FontBBox{-341 -250 1304 965}readonly def currentdict end currentfile eexec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cleartomark %%EndFont %%BeginFont: CMEX10 %!PS-AdobeFont-1.1: CMEX10 1.00 %%CreationDate: 1992 Jul 23 21:22:48 % Copyright (C) 1997 American Mathematical Society. All Rights Reserved. 11 dict begin /FontInfo 7 dict dup begin /version (1.00) readonly def /Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def /FullName (CMEX10) readonly def /FamilyName (Computer Modern) readonly def /Weight (Medium) readonly def /ItalicAngle 0 def /isFixedPitch false def end readonly def /FontName /CMEX10 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 0 /parenleftbig put dup 1 /parenrightbig put dup 26 /braceleftbigg put dup 90 /integraldisplay put readonly def /FontBBox{-24 -2960 1454 772}readonly def currentdict end currentfile eexec D9D66F633B846A97B686A97E45A3D0AA052A014267B7904EB3C0D3BD0B83D891 016CA6CA4B712ADEB258FAAB9A130EE605E61F77FC1B738ABC7C51CD46EF8171 9098D5FEE67660E69A7AB91B58F29A4D79E57022F783EB0FBBB6D4F4EC35014F D2DECBA99459A4C59DF0C6EBA150284454E707DC2100C15B76B4C19B84363758 469A6C558785B226332152109871A9883487DD7710949204DDCF837E6A8708B8 2BDBF16FBC7512FAA308A093FE5CF5B8CAC6A7BEB5D02276E511FFAF2AE11910 DE076F24311D94D07CACC323F360887F1EA11BDDA7927FF3325986FDB0ABDFC8 8E4B40E7988921D551EC0867EBCA44C05657F0DC913E7B3004A5F3E1337B6987 FEBC45F989C8DC6DC0AD577E903F05D0D54208A0AE7F28C734F130C133B48422 BED48639A2B74E4C08F2E710E24A99F347E0F4394CE64EACB549576E89044E52 EABE595BC964156D9D8C2BAB0F49664E951D7C1A3D1789C47F03C7051A63D5E8 DF04FAAC47351E82CAE0794AA9692C6452688A74A7A6A7AD09B8A9783C235EC1 EA2156261B8FB331827145DE315B6EC1B3D8B67B3323F761EAF4C223BB214C4C 6B062D1B281F5041D068319F4911058376D8EFBA59884BA3318C5BC95684F281 E0591BC0D1B2A4592A137FF301610019B8AC46AE6E48BC091E888E4487688350 E9AD5074EE4848271CE4ACC38D8CBC8F3DB32813DDD5B341AF9A6601281ABA38 4A978B98483A63FCC458D0E3BCE6FD830E7E09B0DB987A6B63B74638FC9F21A5 8C68479E1A85225670D79CDDE5AC0B77F5A994CA700B5F0FF1F97FC63EFDE023 8135F04A9D20C31998B12AE06676C362141AAAA395CDEF0A49E0141D335965F2 FB4198499799CECCC8AA5D255264784CD30A3E8295888EFBC2060ADDD7BAC45A EEEECDFF7A47A88E69D84C9E572616C1AC69A34B5F0D0DE8EE4EDF9F4ADE0387 680924D8D5B73EF04EAD7F45977CA8AD73D4DD45DE1966A3B8251C0386164C35 5880DD2609C80E96D1AB861C9259748E98F6711D4E241A269ED51FF328344664 3AF9F18DCE671611DB2F5D3EA77EE734D2BED623F973E6840B8DAD1E2C3C2666 DD4DD1C1CF9DB1FD1568F84892C602408AFD8174118B8C83CF7B8E0548D0EF4E 265D51DF928EB6477833F0BE3FC07D2D0313863EFE161D5795E4F20FD4CB1701 E16FB222DD2A8920C7978EF40F90B5DBA6991E36536AD7CAD676F74CFA74F49A 861439D09E6B00B84044C559EA7F93A994F27713160C8204BE0DBEAD26D47F95 85F14F8379789C8844275F5CF4656A083DD230262977BC70F93CB8FA77C8634C 08530D357FB86AA53439BA70AAFE947C0BCA5DB2B13013FB738469148135A8B1 6479F520FE133989B0EAA14DF4AE2B0973E4129B33E43D2C24602CC535805E3E 0E189F2311B313C4B0B70572E6F87F371C4906EC0929FAF8601171334A5321DA 39DA94C004880EF453FB12AD87C1DD69A2916C09F815EC95B64E81DF531A2C18 FD98C38FB6C11D7CE161817206341788A50E501CD67D63F36356B79C420CDC3D D26694096998CCA9DF6A9033A5F9E20D9EF7C7734214ADF56A64580A17CEEBEC 66D8F06132EE065F406BCE3907A7DE49575A5CBA620DA369D217018506D1E053 AFCC296B01826D5931E50E631B566E2EB650D63F2FADFBC5FB655C2A8341C537 CDFCD1C092651D3EB2C7456E68653E09F9355B2897D96FE17370B7B36C4B5CA8 51AF36061B289A053153308965A93380192883860008F8998C57B9C714ADE224 4878CD61FADF387B92A47E2984B20DB4C1FCA11C86D3387E720F80A6AB03BC6A 0189778FFAE34CB08AAC418DFB1AAC0AF788CECF8807800305064CCD32B59A12 858B6D184E4A4F3C11EEA26CB564ED0C098E5884AA898D2E259C08781388CE88 181A53A3FC9E2DC2BB331AF78E7FA9F4A12D6ABD6BF7385041981122E67269B1 78101D01A8D5BEE65D24A2CCA69975DABC8276CF970A11914D2D800ACF0BB4B0 3F310473108E70B6DE8E4515B1CF8A39EA202ED33F5E07579B6F54C799A2A827 BF48392C417B9A5BC45943AA882DE64AEDA63FB5C744773E8C6843EED7C637A6 7AF194AB1F35561C799BDA8DBEF28C673DD45629D319AB52760CE469F48FC082 FB687B4807448D8785044A58144D0AFC7DA62E0A50BFAE27E5617B2EC1C28523 00D8183BAC7012B3043FEA32F1C67B806F6C077C9A94EE3348338E79CEEF6F9E 8767305DCE536EB34B46B28485CE5B6D9B97166F232C21CEFB075E322C96BAB8 8767842E2FC2A23BCDB5E7F0A9ACC1338FC55A42022080FC3DFBEF7714222E50 EDDF583492E3E27A523CA042F408A7406A 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 cleartomark %%EndFont %%BeginFont: CMMI7 %!PS-AdobeFont-1.1: CMMI7 1.100 %%CreationDate: 1996 Jul 23 07:53:53 % Copyright (C) 1997 American Mathematical Society. All Rights Reserved. 11 dict begin /FontInfo 7 dict dup begin /version (1.100) readonly def /Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def /FullName (CMMI7) readonly def /FamilyName (Computer Modern) readonly def /Weight (Medium) readonly def /ItalicAngle -14.04 def /isFixedPitch false def end readonly def /FontName /CMMI7 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 21 /lambda put dup 84 /T put dup 88 /X put dup 105 /i put dup 107 /k put dup 110 /n put dup 114 /r put dup 116 /t put dup 120 /x put readonly def /FontBBox{0 -250 1171 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 69 /E put dup 78 /N put dup 80 /P put dup 82 /R put readonly def /FontBBox{-55 -420 2343 920}readonly def currentdict end currentfile eexec D9D66F633B846A97B686A97E45A3D0AA052A014267B7904EB3C0D3BD0B83D891 016CA6CA4B712ADEB258FAAB9A130EE605E61F77FC1B738ABC7C51CD46EF8171 9098D5FEE67660E69A7AB91B58F29A4D79E57022F783EB0FBBB6D4F4EC35014F D2DECBA99459A4C59DF0C6EBA150284454E707DC2100C15B76B4C19B84363758 469A6C558785B226332152109871A9883487DD7710949204DDCF837E6A8708B8 2BDBF16FBC7512FAA308A093FE5CF5B8CABB9FFC6A66A4000A13D5F68BFF326D 1D432B0D064B56C598F4338C319309181D78E1629A31ECA5DD8536379B03C383 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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 1 /periodcentered put dup 20 /lessequal put dup 21 /greaterequal put dup 24 /similar put dup 50 /element put dup 102 /braceleft put dup 103 /braceright put readonly def /FontBBox{-29 -960 1116 775}readonly def currentdict end currentfile eexec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cleartomark %%EndFont %%BeginFont: CMMI10 %!PS-AdobeFont-1.1: CMMI10 1.100 %%CreationDate: 1996 Jul 23 07:53:57 % Copyright (C) 1997 American Mathematical Society. All Rights Reserved. 11 dict begin /FontInfo 7 dict dup begin /version (1.100) readonly def /Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def /FullName (CMMI10) readonly def /FamilyName (Computer Modern) readonly def /Weight (Medium) readonly def /ItalicAngle -14.04 def /isFixedPitch false def end readonly def /FontName /CMMI10 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 21 /lambda put dup 58 /period put dup 59 /comma put dup 60 /less put dup 62 /greater put dup 66 /B put dup 69 /E put dup 70 /F put dup 80 /P put dup 84 /T put dup 85 /U put dup 88 /X put dup 89 /Y put dup 97 /a put dup 98 /b put dup 100 /d put dup 101 /e put dup 102 /f put dup 105 /i put dup 107 /k put dup 110 /n put dup 111 /o put dup 112 /p put dup 114 /r put dup 116 /t put dup 120 /x put readonly def /FontBBox{-32 -250 1048 750}readonly def currentdict end currentfile eexec D9D66F633B846A97B686A97E45A3D0AA0529731C99A784CCBE85B4993B2EEBDE 3B12D472B7CF54651EF21185116A69AB1096ED4BAD2F646635E019B6417CC77B 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y(Dipl.-Math.)28 b(o)r(ec.)f(Florian)g(V)-7 b(oss)259 602 y Fm(Elemen)l(tare)44 b(W)-11 b(ahrsc)l(heinlic)l(hk)l(eitsrec)l (hn)l(ung)45 b(und)e(Statistik)1475 740 y Fl(\334bungsblatt)c(8)875 887 y Fn(\(Abgab)r(e:)28 b(Donnerstag,)e(11.12.2008,)e(v)n(or)i(den)i (\334bungen\))0 1202 y Fk(Aufgab)s(e)k(1)145 b Fn(\(2)28 b(+)f(2)g(+)g(2)g(+)h(2)f(+)g(2)g(+)g(2)h(+)f(2)g(Punkte\))0 1325 y(Es)h(sei)f Fj(X)34 b Fn(eine)28 b(Zufallsv)-5 b(ariable.)26 b(Berec)n(hnen)g(Sie)i(den)g(Erw)n(artungsw)n(ert)d(v)n (on)i Fj(X)7 b Fn(,)27 b(falls)60 1474 y(\(a\))42 b Fj(X)29 b Fi(\030)23 b Fj(P)12 b(oi)p Fh(\()p Fj(\025)p Fh(\))28 b Fn(mit)g(P)n(arameter)e Fj(\025)e(>)e Fh(0)p Fn(.)55 1624 y(\(b\))43 b Fj(X)29 b Fi(\030)23 b Fj(E)5 b(xp)p Fh(\()p Fj(\025)p Fh(\))29 b Fn(mit)f(P)n(arameter)e Fj(\025)d(>)g Fh(0)p Fn(.)65 1773 y(\(c\))42 b Fj(X)29 b Fi(\030)23 b Fj(U)9 b Fh(\()p Fj(a;)14 b(b)p Fh(\))27 b Fn(mit)h(P)n(arametern)e Fj(a)d(<)g(b)p Fn(.)55 1923 y(\(d\))43 b Fj(X)29 b Fi(\030)23 b Fj(B)t(in)p Fh(\()p Fj(n;)14 b(p)p Fh(\))27 b Fn(mit)h(P)n(arametern)e Fj(p)d Fi(2)g Fh([0)p Fj(;)14 b Fh(1])p Fj(;)g(n)22 b Fi(2)i Fg(N)p Fn(.)65 2128 y(\(e\))42 b Fj(P)12 b Fh(\()p Fj(X)29 b Fh(=)23 b Fj(k)s Fh(\))g(=)f Fi(\000)754 2072 y Fh(\(1)c Fi(\000)g Fj(p)p Fh(\))1003 2042 y Ff(k)p 754 2109 291 4 v 807 2185 a Fj(k)f Fh(ln)d Fj(p)1054 2128 y(;)97 b(k)26 b Fi(2)d Fg(N)p Fj(;)14 b(p)23 b Fi(2)g Fh(\(0)p Fj(;)14 b Fh(1\))p Fn(.)70 2359 y(\(f)6 b(\))43 b Fj(P)12 b Fh(\()p Fj(X)29 b(>)23 b(t)p Fh(\))g(=)g(exp)o Fi(f\000)911 2291 y Fe(\000)970 2326 y Ff(t)p 958 2340 49 4 v 958 2387 a(T)1017 2291 y Fe(\001)1065 2286 y Fd(1)p 1065 2295 29 3 v 1065 2328 a(2)1107 2359 y Fi(g)p Fj(;)96 b(t)23 b(>)g Fh(0)p Fj(;)14 b(T)33 b(>)23 b Fh(0)p Fn(.)60 2516 y(\(g\))42 b Fj(F)261 2528 y Ff(X)324 2516 y Fh(\()p Fj(x)p Fh(\))24 b(=)547 2449 y Fe(\000)585 2516 y Fh(1)18 b Fi(\000)g Fh(0)p Fj(:)p Fh(8)p Fj(e)874 2486 y Fc(1)p Fb(\000)p Ff(x)999 2449 y Fe(\001)1051 2516 y Fh(1)-24 b(I)1099 2531 y Fb(f)p Ff(x)p Fb(\025)p Fc(1)p Fb(g)1294 2516 y Fj(;)97 b(x)23 b Fi(2)h Fg(R)p Fj(:)0 2765 y Fk(Aufgab)s(e)32 b(2)145 b Fn(\(3)28 b(+)f(1)g(Punkte\))0 2889 y(Seien)h Fj(X)286 2901 y Fc(1)323 2889 y Fj(;)14 b(:)g(:)g(:)f(;)h(X)576 2901 y Ff(n)649 2889 y Fn(unabh\344ngige)26 b(Zufallsv)-5 b(ariablen)26 b(mit)i Fj(X)1954 2901 y Ff(i)2005 2889 y Fi(\030)22 b Fn(Exp)q Fh(\()p Fj(\025)p Fh(\))p Fn(.)60 3038 y(\(a\))42 b(Zeigen)26 b(Sie,)i(dass)f Fj(X)i Fh(=)23 b Fj(X)1063 3050 y Fc(1)1118 3038 y Fh(+)18 b Fi(\001)c(\001)g(\001)19 b Fh(+)f Fj(X)1469 3050 y Ff(n)1541 3038 y Fn(Erlang-v)n(erteilt)26 b(ist)i(mit)g(den)g(P)n(arametern)e Fj(n)i Fn(und)g Fj(\025)p Fn(.)55 3187 y(\(b\))43 b(Bestimmen)27 b(Sie)h(den)g(Erw)n(artungsw)n (ert)d(der)i(Zufallsv)-5 b(ariablen)27 b Fj(X)7 b Fn(.)0 3337 y(Hin)n(w)n(eis.)27 b(Eine)h(absolutstetige)f(Zufallsv)-5 b(ariable)26 b Fj(X)34 b Fn(mit)28 b(Dic)n(h)n(te)1028 3574 y Fj(f)1069 3586 y Ff(X)1132 3574 y Fh(\()p Fj(x)p Fh(\))c(=)1355 3457 y Fe(\032)1527 3487 y Ff(\025)1566 3462 y Fa(n)p 1468 3501 197 4 v 1468 3549 a Fc(\()p Ff(n)p Fb(\000)p Fc(1\)!)1675 3520 y Fj(x)1722 3490 y Ff(n)p Fb(\000)p Fc(1)1853 3520 y Fj(e)1892 3490 y Fb(\000)p Ff(\025x)2121 3520 y Fj(;)14 b Fn(falls)41 b Fj(x)24 b(>)e Fh(0)14 b Fj(;)1721 3633 y Fh(0)358 b Fj(;)14 b Fn(falls)41 b Fj(x)24 b Fi(\024)e Fh(0)14 b Fj(;)0 3812 y Fn(w)n(ob)r(ei)27 b Fj(\025)d(>)e Fh(0)27 b Fn(und)h Fj(n)23 b Fi(2)h Fg(N)p Fn(,)j(hei\377t)h(Erlang-v)n(erteilt)e(mit)i (den)g(P)n(arametern)e Fj(n)i Fn(und)g Fj(\025)p Fn(.)0 4061 y Fk(Aufgab)s(e)k(3)145 b Fn(\(4)28 b(Punkte\))0 4184 y(Bei)g(einem)g(Gl\374c)n(ksspiel)f(k)-5 b(ann)28 b(ein)g(Spieler)g(Geld)g(setzen.)g(Es)g(wird)g(eine)g(faire)f(M\374nze) h(gew)n(orfen)e(und)j(b)r(ei)f(K)n(opf)0 4284 y(b)r(ek)n(omm)n(t)23 b(der)h(Spieler)f(den)h(dopp)r(elten)g(Einsatz)g(zur\374c)n(k.)f(Das)g (Gl\374c)n(ksspiel)h(wird)f(unabh\344ngig)f(wiederholt.)i(Der)0 4383 y(Spieler)34 b(f\344ngt)h(mit)g(1)f(Euro)g(Einsatz)h(an.)f(W)-7 b(enn)35 b(er)f(ein)h(Spiel)g(gewinn)n(t,)f(dann)h(h\366rt)f(er)g(auf)g (und)h(nimm)n(t)g(den)0 4483 y(Gewinn)25 b(mit.)h(W)-7 b(enn)25 b(er)f(v)n(erliert,)g(dann)h(v)n(erdopp)r(elt)f(er)g(seinen)h (Einsatz)g(und)g(spielt)g(w)n(eiter.)g(Dies)g(wiederholt)f(er)0 4583 y(bis)j(zu)g(einem)g(Gewinn.)h(Sei)f Fj(X)34 b Fn(der)26 b(Gewinn)i(nac)n(h)e(Abzug)h(aller)f(Eins\344tze)h(und)h Fj(Y)45 b Fn(die)28 b(Summe)f(aller)f(Eins\344tze,)0 4682 y(w)n(enn)h(er)g(aufh\366rt)h(zu)f(spielen.)h(Bestimmen)g(Sie)f Fg(E)p Fj(X)35 b Fn(und)28 b Fg(E)p Fj(Y)19 b Fn(.)0 4931 y Fk(Aufgab)s(e)32 b(4)145 b Fn(\(3)28 b(Punkte\))0 5054 y(Sei)g Fj(X)34 b Fn(eine)27 b(Zufallsv)-5 b(ariable)26 b(mit)j Fg(P)p Fh(\()p Fj(X)g Fi(\025)23 b Fh(0\))f(=)h(1)k Fn(und)h(V)-7 b(erteilungsfunktion)28 b Fj(F)12 b Fn(.)27 b(Zeigen)g(Sie,)h(dass)1301 5329 y Fg(E)p Fj(X)1432 5295 y Ff(r)1492 5329 y Fh(=)1606 5200 y Fb(1)1579 5216 y Fe(Z)1586 5452 y Fc(0)1676 5329 y Fj(r)r(x)1762 5295 y Ff(r)r Fb(\000)p Fc(1)1885 5329 y Fh(\(1)18 b Fi(\000)g Fj(F)12 b Fh(\()p Fj(x)p Fh(\)\))p Fj(dx)0 5609 y Fn(gilt,)28 b(falls)f Fj(r)f(>)c Fh(0)p Fn(.)p eop end %%Trailer userdict /end-hook known{end-hook}if %%EOF