This is pdfTeX, Version 3.1415926-2.5-1.40.14 (TeX Live 2013/Debian) (format=pdflatex 2018.8.7) 7 AUG 2018 14:11 entering extended mode restricted \write18 enabled. %&-line parsing enabled. **LA2.tex (../data/SS10/LA2.tex LaTeX2e <2011/06/27> Babel <3.9h> and hyphenation patterns for 78 languages loaded. (/usr/share/texlive/texmf-dist/tex/latex/koma-script/scrbook.cls Document Class: scrbook 2013/12/19 v3.12 KOMA-Script document class (book) (/usr/share/texlive/texmf-dist/tex/latex/koma-script/scrkbase.sty Package: scrkbase 2013/12/19 v3.12 KOMA-Script package (KOMA-Script-dependent b asics and keyval usage) (/usr/share/texlive/texmf-dist/tex/latex/koma-script/scrbase.sty Package: scrbase 2013/12/19 v3.12 KOMA-Script package (KOMA-Script-independent basics and keyval usage) (/usr/share/texlive/texmf-dist/tex/latex/graphics/keyval.sty Package: keyval 1999/03/16 v1.13 key=value parser (DPC) \KV@toks@=\toks14 ) (/usr/share/texlive/texmf-dist/tex/latex/koma-script/scrlfile.sty Package: scrlfile 2013/12/19 v3.12 KOMA-Script package (loading files) Package scrlfile, 2013/12/19 v3.12 KOMA-Script package (loading files) Copyright (C) Markus Kohm ))) (/usr/share/texlive/texmf-dist/tex/latex/koma-script/tocbasic.sty Package: tocbasic 2013/12/19 v3.12 KOMA-Script package (handling toc-files) ) Package tocbasic Info: omitting babel extension for `toc' (tocbasic) because of feature `nobabel' available (tocbasic) for `toc' on input line 117. Package tocbasic Info: omitting babel extension for `lof' (tocbasic) because of feature `nobabel' available (tocbasic) for `lof' on input line 118. Package tocbasic Info: omitting babel extension for `lot' (tocbasic) because of feature `nobabel' available (tocbasic) for `lot' on input line 119. Package tocbasic Info: defining new hook before heading of `' on input line 111 8. Package scrbase Info: Unknown processing state. (scrbase) Processing option `twoside' (scrbase) of member `.scrbook.cls' of family (scrbase) `KOMA' doesn't set (scrbase) a valid state. This will be interpreted (scrbase) as \FamilyKeyStateProcessed on input line 1269. Class scrbook Info: File `scrsize11pt.clo' used instead of (scrbook) file `scrsize11.clo' to setup font sizes on input line 1655 . (/usr/share/texlive/texmf-dist/tex/latex/koma-script/scrsize11pt.clo File: scrsize11pt.clo 2013/12/19 v3.12 KOMA-Script font size class option (11pt ) ) (/usr/share/texlive/texmf-dist/tex/latex/koma-script/typearea.sty Package: typearea 2013/12/19 v3.12 KOMA-Script package (type area) Package typearea, 2013/12/19 v3.12 KOMA-Script package (type area) Copyright (C) Frank Neukam, 1992-1994 Copyright (C) Markus Kohm, 1994- \ta@bcor=\skip41 \ta@div=\count79 Package typearea Info: You've used standard option `a4paper'. (typearea) This is correct! (typearea) Internally I'm using `paper=a4'. (typearea) If you'd like to set the option with \KOMAoptions, (typearea) you'd have to use `paper=a4' there (typearea) instead of `a4paper', too. \ta@hblk=\skip42 \ta@vblk=\skip43 \ta@temp=\skip44 \footheight=\skip45 Package typearea Info: These are the values describing the layout: (typearea) DIV = 15 (typearea) BCOR = 34.1433pt (typearea) \paperwidth = 597.50793pt (typearea) \textwidth = 450.69174pt (typearea) DIV departure = -15% (typearea) \evensidemargin = 2.84528pt (typearea) \oddsidemargin = -0.56906pt (typearea) \paperheight = 845.04694pt (typearea) \textheight = 677.4003pt (typearea) \topmargin = -53.33354pt (typearea) \headheight = 17.0pt (typearea) \headsep = 20.40001pt (typearea) \topskip = 11.0pt (typearea) \footskip = 47.6pt (typearea) \baselineskip = 13.6pt (typearea) on input line 1330. ) \c@part=\count80 \c@chapter=\count81 \c@section=\count82 \c@subsection=\count83 \c@subsubsection=\count84 \c@paragraph=\count85 \c@subparagraph=\count86 \abovecaptionskip=\skip46 \belowcaptionskip=\skip47 \c@pti@nb@sid@b@x=\box26 \c@figure=\count87 \c@table=\count88 \bibindent=\dimen102 ) (../data/SS10/la.sty (/usr/share/texlive/texmf-dist/tex/generic/babel/babel.sty Package: babel 2013/12/03 3.9h The Babel package (/usr/share/texlive/texmf-dist/tex/generic/babel-german/ngermanb.ldf Language: ngermanb 2013/12/13 v2.7 German support for babel (new orthography) (/usr/share/texlive/texmf-dist/tex/generic/babel/babel.def File: babel.def 2013/12/03 3.9h Babel common definitions \babel@savecnt=\count89 \U@D=\dimen103 ) \l@naustrian = a dialect from \language\l@ngerman \l@nswissgerman = a dialect from \language\l@ngerman Package babel Info: Making " an active character on input line 88. )) (/usr/share/texlive/texmf-dist/tex/latex/base/inputenc.sty Package: inputenc 2008/03/30 v1.1d Input encoding file \inpenc@prehook=\toks15 \inpenc@posthook=\toks16 (/usr/share/texlive/texmf-dist/tex/latex/base/utf8.def File: utf8.def 2008/04/05 v1.1m UTF-8 support for inputenc Now handling font encoding OML ... ... no UTF-8 mapping file for font encoding OML Now handling font encoding T1 ... ... processing UTF-8 mapping file for font encoding T1 (/usr/share/texlive/texmf-dist/tex/latex/base/t1enc.dfu File: t1enc.dfu 2008/04/05 v1.1m UTF-8 support for inputenc defining Unicode char U+00A1 (decimal 161) defining Unicode char U+00A3 (decimal 163) defining Unicode char U+00AB (decimal 171) defining Unicode char U+00BB (decimal 187) defining Unicode char U+00BF (decimal 191) defining Unicode char U+00C0 (decimal 192) defining Unicode char U+00C1 (decimal 193) defining Unicode char U+00C2 (decimal 194) defining Unicode char U+00C3 (decimal 195) defining Unicode char U+00C4 (decimal 196) defining Unicode char U+00C5 (decimal 197) defining Unicode char U+00C6 (decimal 198) defining Unicode char U+00C7 (decimal 199) defining Unicode char U+00C8 (decimal 200) defining Unicode char U+00C9 (decimal 201) defining Unicode char U+00CA (decimal 202) defining Unicode char U+00CB (decimal 203) defining Unicode char U+00CC (decimal 204) defining Unicode char U+00CD (decimal 205) defining Unicode char U+00CE (decimal 206) defining Unicode char U+00CF (decimal 207) defining Unicode char U+00D0 (decimal 208) defining Unicode char U+00D1 (decimal 209) defining Unicode char U+00D2 (decimal 210) defining Unicode char U+00D3 (decimal 211) defining Unicode char U+00D4 (decimal 212) defining Unicode char U+00D5 (decimal 213) defining Unicode char U+00D6 (decimal 214) defining Unicode char U+00D8 (decimal 216) defining Unicode char U+00D9 (decimal 217) defining Unicode char U+00DA (decimal 218) defining Unicode char U+00DB (decimal 219) defining Unicode char U+00DC (decimal 220) defining Unicode char U+00DD (decimal 221) defining Unicode char U+00DE (decimal 222) defining Unicode char U+00DF (decimal 223) defining Unicode char U+00E0 (decimal 224) defining Unicode char U+00E1 (decimal 225) defining Unicode char U+00E2 (decimal 226) defining Unicode char U+00E3 (decimal 227) defining Unicode char U+00E4 (decimal 228) defining Unicode char U+00E5 (decimal 229) defining Unicode char U+00E6 (decimal 230) defining Unicode char U+00E7 (decimal 231) defining Unicode char U+00E8 (decimal 232) defining Unicode char U+00E9 (decimal 233) defining Unicode char U+00EA (decimal 234) defining Unicode char U+00EB (decimal 235) defining Unicode char U+00EC (decimal 236) defining Unicode char U+00ED (decimal 237) defining Unicode char U+00EE (decimal 238) defining Unicode char U+00EF (decimal 239) defining Unicode char U+00F0 (decimal 240) defining Unicode char U+00F1 (decimal 241) defining Unicode char U+00F2 (decimal 242) defining Unicode char U+00F3 (decimal 243) defining Unicode char U+00F4 (decimal 244) defining Unicode char U+00F5 (decimal 245) defining Unicode char U+00F6 (decimal 246) defining Unicode char U+00F8 (decimal 248) defining Unicode char U+00F9 (decimal 249) defining Unicode char U+00FA (decimal 250) defining Unicode char U+00FB (decimal 251) defining Unicode char U+00FC (decimal 252) defining Unicode char U+00FD (decimal 253) defining Unicode char U+00FE (decimal 254) defining Unicode char U+00FF (decimal 255) defining Unicode char U+0102 (decimal 258) defining Unicode char U+0103 (decimal 259) defining Unicode char U+0104 (decimal 260) defining Unicode char U+0105 (decimal 261) defining Unicode char U+0106 (decimal 262) defining Unicode char U+0107 (decimal 263) defining Unicode char U+010C (decimal 268) defining Unicode char U+010D (decimal 269) defining Unicode char U+010E (decimal 270) defining Unicode char U+010F (decimal 271) defining Unicode char U+0110 (decimal 272) defining Unicode char U+0111 (decimal 273) defining Unicode char U+0118 (decimal 280) defining Unicode char U+0119 (decimal 281) defining Unicode char U+011A (decimal 282) defining Unicode char U+011B (decimal 283) defining Unicode char U+011E (decimal 286) defining Unicode char U+011F (decimal 287) defining Unicode char U+0130 (decimal 304) defining Unicode char U+0131 (decimal 305) defining Unicode char U+0132 (decimal 306) defining Unicode char U+0133 (decimal 307) defining Unicode char U+0139 (decimal 313) defining Unicode char U+013A (decimal 314) defining Unicode char U+013D (decimal 317) defining Unicode char U+013E (decimal 318) defining Unicode char U+0141 (decimal 321) defining Unicode char U+0142 (decimal 322) defining Unicode char U+0143 (decimal 323) defining Unicode char U+0144 (decimal 324) defining Unicode char U+0147 (decimal 327) defining Unicode char U+0148 (decimal 328) defining Unicode char U+014A (decimal 330) defining Unicode char U+014B (decimal 331) defining Unicode char U+0150 (decimal 336) defining Unicode char U+0151 (decimal 337) defining Unicode char U+0152 (decimal 338) defining Unicode char U+0153 (decimal 339) defining Unicode char U+0154 (decimal 340) defining Unicode char U+0155 (decimal 341) defining Unicode char U+0158 (decimal 344) defining Unicode char U+0159 (decimal 345) defining Unicode char U+015A (decimal 346) defining Unicode char U+015B (decimal 347) defining Unicode char U+015E (decimal 350) defining Unicode char U+015F (decimal 351) defining Unicode char U+0160 (decimal 352) defining Unicode char U+0161 (decimal 353) defining Unicode char U+0162 (decimal 354) defining Unicode char U+0163 (decimal 355) defining Unicode char U+0164 (decimal 356) defining Unicode char U+0165 (decimal 357) defining Unicode char U+016E (decimal 366) defining Unicode char U+016F (decimal 367) defining Unicode char U+0170 (decimal 368) defining Unicode char U+0171 (decimal 369) defining Unicode char U+0178 (decimal 376) defining Unicode char U+0179 (decimal 377) defining Unicode char U+017A (decimal 378) defining Unicode char U+017B (decimal 379) defining Unicode char U+017C (decimal 380) defining Unicode char U+017D (decimal 381) defining Unicode char U+017E (decimal 382) defining Unicode char U+200C (decimal 8204) defining Unicode char U+2013 (decimal 8211) defining Unicode char U+2014 (decimal 8212) defining Unicode char U+2018 (decimal 8216) defining Unicode char U+2019 (decimal 8217) defining Unicode char U+201A (decimal 8218) defining Unicode char U+201C (decimal 8220) defining Unicode char U+201D (decimal 8221) defining Unicode char U+201E (decimal 8222) defining Unicode char U+2030 (decimal 8240) defining Unicode char U+2031 (decimal 8241) defining Unicode char U+2039 (decimal 8249) defining Unicode char U+203A (decimal 8250) defining Unicode char U+2423 (decimal 9251) ) Now handling font encoding OT1 ... ... processing UTF-8 mapping file for font encoding OT1 (/usr/share/texlive/texmf-dist/tex/latex/base/ot1enc.dfu File: ot1enc.dfu 2008/04/05 v1.1m UTF-8 support for inputenc defining Unicode char U+00A1 (decimal 161) defining Unicode char U+00A3 (decimal 163) defining Unicode char U+00B8 (decimal 184) defining Unicode char U+00BF (decimal 191) defining Unicode char U+00C5 (decimal 197) defining Unicode char U+00C6 (decimal 198) defining Unicode char U+00D8 (decimal 216) defining Unicode char U+00DF (decimal 223) defining Unicode char U+00E6 (decimal 230) defining Unicode char U+00EC (decimal 236) defining Unicode char U+00ED (decimal 237) defining Unicode char U+00EE (decimal 238) defining Unicode char U+00EF (decimal 239) defining Unicode char U+00F8 (decimal 248) defining Unicode char U+0131 (decimal 305) defining Unicode char U+0141 (decimal 321) defining Unicode char U+0142 (decimal 322) defining Unicode char U+0152 (decimal 338) defining Unicode char U+0153 (decimal 339) defining Unicode char U+2013 (decimal 8211) defining Unicode char U+2014 (decimal 8212) defining Unicode char U+2018 (decimal 8216) defining Unicode char U+2019 (decimal 8217) defining Unicode char U+201C (decimal 8220) defining Unicode char U+201D (decimal 8221) ) Now handling font encoding OMS ... ... processing UTF-8 mapping file for font encoding OMS (/usr/share/texlive/texmf-dist/tex/latex/base/omsenc.dfu File: omsenc.dfu 2008/04/05 v1.1m UTF-8 support for inputenc defining Unicode char U+00A7 (decimal 167) defining Unicode char U+00B6 (decimal 182) defining Unicode char U+00B7 (decimal 183) defining Unicode char U+2020 (decimal 8224) defining Unicode char U+2021 (decimal 8225) defining Unicode char U+2022 (decimal 8226) ) Now handling font encoding OMX ... ... no UTF-8 mapping file for font encoding OMX Now handling font encoding U ... ... no UTF-8 mapping file for font encoding U defining Unicode char U+00A9 (decimal 169) defining Unicode char U+00AA (decimal 170) defining Unicode char U+00AE (decimal 174) defining Unicode char U+00BA (decimal 186) defining Unicode char U+02C6 (decimal 710) defining Unicode char U+02DC (decimal 732) defining Unicode char U+200C (decimal 8204) defining Unicode char U+2026 (decimal 8230) defining Unicode char U+2122 (decimal 8482) defining Unicode char U+2423 (decimal 9251) )) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsmath.sty Package: amsmath 2013/01/14 v2.14 AMS math features \@mathmargin=\skip48 For additional information on amsmath, use the `?' option. (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amstext.sty Package: amstext 2000/06/29 v2.01 (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsgen.sty File: amsgen.sty 1999/11/30 v2.0 \@emptytoks=\toks17 \ex@=\dimen104 )) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsbsy.sty Package: amsbsy 1999/11/29 v1.2d \pmbraise@=\dimen105 ) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsopn.sty Package: amsopn 1999/12/14 v2.01 operator names ) \inf@bad=\count90 LaTeX Info: Redefining \frac on input line 210. \uproot@=\count91 \leftroot@=\count92 LaTeX Info: Redefining \overline on input line 306. \classnum@=\count93 \DOTSCASE@=\count94 LaTeX Info: Redefining \ldots on input line 378. LaTeX Info: Redefining \dots on input line 381. LaTeX Info: Redefining \cdots on input line 466. \Mathstrutbox@=\box27 \strutbox@=\box28 \big@size=\dimen106 LaTeX Font Info: Redeclaring font encoding OML on input line 566. LaTeX Font Info: Redeclaring font encoding OMS on input line 567. \macc@depth=\count95 \c@MaxMatrixCols=\count96 \dotsspace@=\muskip10 \c@parentequation=\count97 \dspbrk@lvl=\count98 \tag@help=\toks18 \row@=\count99 \column@=\count100 \maxfields@=\count101 \andhelp@=\toks19 \eqnshift@=\dimen107 \alignsep@=\dimen108 \tagshift@=\dimen109 \tagwidth@=\dimen110 \totwidth@=\dimen111 \lineht@=\dimen112 \@envbody=\toks20 \multlinegap=\skip49 \multlinetaggap=\skip50 \mathdisplay@stack=\toks21 LaTeX Info: Redefining \[ on input line 2665. LaTeX Info: Redefining \] on input line 2666. ) (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amsfonts.sty Package: amsfonts 2013/01/14 v3.01 Basic AMSFonts support \symAMSa=\mathgroup4 \symAMSb=\mathgroup5 LaTeX Font Info: Overwriting math alphabet `\mathfrak' in version `bold' (Font) U/euf/m/n --> U/euf/b/n on input line 106. ) (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amssymb.sty Package: amssymb 2013/01/14 v3.01 AMS font symbols ) (/usr/share/texlive/texmf-dist/tex/latex/graphics/color.sty Package: color 2005/11/14 v1.0j Standard LaTeX Color (DPC) (/usr/share/texlive/texmf-dist/tex/latex/latexconfig/color.cfg File: color.cfg 2007/01/18 v1.5 color configuration of teTeX/TeXLive ) Package color Info: Driver file: pdftex.def on input line 130. (/usr/share/texlive/texmf-dist/tex/latex/pdftex-def/pdftex.def File: pdftex.def 2011/05/27 v0.06d Graphics/color for pdfTeX (/usr/share/texlive/texmf-dist/tex/generic/oberdiek/infwarerr.sty Package: infwarerr 2010/04/08 v1.3 Providing info/warning/error messages (HO) ) (/usr/share/texlive/texmf-dist/tex/generic/oberdiek/ltxcmds.sty Package: ltxcmds 2011/11/09 v1.22 LaTeX kernel commands for general use (HO) ) \Gread@gobject=\count102 )) (/usr/share/texlive/texmf-dist/tex/latex/tools/enumerate.sty Package: enumerate 1999/03/05 v3.00 enumerate extensions (DPC) \@enLab=\toks22 ) (/usr/share/texlive/texmf-dist/tex/latex/ntheorem/ntheorem.sty Style `ntheorem', Version 1.33 <2011/08/15> Package: ntheorem 2011/08/15 1.33 (/usr/share/texlive/texmf-dist/tex/latex/base/ifthen.sty Package: ifthen 2001/05/26 v1.1c Standard LaTeX ifthen package (DPC) ) \theorem@style=\toks23 \theorem@@style=\toks24 \theorembodyfont=\toks25 \theoremnumbering=\toks26 \theorempreskipamount=\skip51 \theorempostskipamount=\skip52 \theoremframepreskipamount=\skip53 \theoremframepostskipamount=\skip54 \theoreminframepreskipamount=\skip55 \theoreminframepostskipamount=\skip56 \theorem@preskip=\toks27 \theorem@postskip=\toks28 \theorem@framepreskip=\toks29 \theorem@framepostskip=\toks30 \theorem@inframepreskip=\toks31 \theorem@inframepostskip=\toks32 \theoremindent=\dimen113 \theorem@indent=\dimen114 \theoremrightindent=\dimen115 \theorem@rightindent=\dimen116 \theoremheaderfont=\toks33 \theoremseparator=\toks34 \theoremprework=\toks35 \theorempostwork=\toks36 \theoremsymbol=\toks37 \qedsymbol=\toks38 \theoremkeyword=\toks39 \qedsymbol=\toks40 \thm@topsep=\skip57 \thm@topsepadd=\skip58 Package ntheorem Info: Option `thmmarks' loaded on input line 1175. \c@endNonectr=\count103 \c@currNonectr=\count104 \mysavskip=\skip59 Package ntheorem Info: option `amsmath' handling for `thmmarks' loaded on input line 1175. \thm@amstmpdepth=\dimen117 \tagwidth=\dimen118 \shadecolor=\toks41 ) (/usr/share/texlive/texmf-dist/tex/latex/framed/framed.sty Package: framed 2011/10/22 v 0.96: framed or shaded text with page breaks \OuterFrameSep=\skip60 \fb@frw=\dimen119 \fb@frh=\dimen120 \FrameRule=\dimen121 \FrameSep=\dimen122 ) (/usr/share/texlive/texmf-dist/tex/latex/base/makeidx.sty Package: makeidx 2000/03/29 v1.0m Standard LaTeX package ) (/usr/share/texlive/texmf-dist/tex/latex/stmaryrd/stmaryrd.sty Package: stmaryrd 1994/03/03 St Mary's Road symbol package \symstmry=\mathgroup6 LaTeX Font Info: Overwriting symbol font `stmry' in version `bold' (Font) U/stmry/m/n --> U/stmry/b/n on input line 89. ) (/usr/share/texlive/texmf-dist/tex/latex/hyperref/hyperref.sty Package: hyperref 2012/11/06 v6.83m Hypertext links for LaTeX (/usr/share/texlive/texmf-dist/tex/generic/oberdiek/hobsub-hyperref.sty Package: hobsub-hyperref 2012/05/28 v1.13 Bundle oberdiek, subset hyperref (HO) (/usr/share/texlive/texmf-dist/tex/generic/oberdiek/hobsub-generic.sty Package: hobsub-generic 2012/05/28 v1.13 Bundle oberdiek, subset generic (HO) Package: hobsub 2012/05/28 v1.13 Construct package bundles (HO) Package hobsub Info: Skipping package `infwarerr' (already loaded). Package hobsub Info: Skipping package `ltxcmds' (already loaded). Package: ifluatex 2010/03/01 v1.3 Provides the ifluatex switch (HO) Package ifluatex Info: LuaTeX not detected. Package: ifvtex 2010/03/01 v1.5 Detect VTeX and its facilities (HO) Package ifvtex Info: VTeX not detected. Package: intcalc 2007/09/27 v1.1 Expandable calculations with integers (HO) Package: ifpdf 2011/01/30 v2.3 Provides the ifpdf switch (HO) Package ifpdf Info: pdfTeX in PDF mode is detected. Package: etexcmds 2011/02/16 v1.5 Avoid name clashes with e-TeX commands (HO) Package etexcmds Info: Could not find \expanded. (etexcmds) That can mean that you are not using pdfTeX 1.50 or (etexcmds) that some package has redefined \expanded. (etexcmds) In the latter case, load this package earlier. Package: kvsetkeys 2012/04/25 v1.16 Key value parser (HO) Package: kvdefinekeys 2011/04/07 v1.3 Define keys (HO) Package: pdftexcmds 2011/11/29 v0.20 Utility functions of pdfTeX for LuaTeX (HO ) Package pdftexcmds Info: LuaTeX not detected. Package pdftexcmds Info: \pdf@primitive is available. Package pdftexcmds Info: \pdf@ifprimitive is available. Package pdftexcmds Info: \pdfdraftmode found. Package: pdfescape 2011/11/25 v1.13 Implements pdfTeX's escape features (HO) Package: bigintcalc 2012/04/08 v1.3 Expandable calculations on big integers (HO ) Package: bitset 2011/01/30 v1.1 Handle bit-vector datatype (HO) Package: uniquecounter 2011/01/30 v1.2 Provide unlimited unique counter (HO) ) Package hobsub Info: Skipping package `hobsub' (already loaded). Package: letltxmacro 2010/09/02 v1.4 Let assignment for LaTeX macros (HO) Package: hopatch 2012/05/28 v1.2 Wrapper for package hooks (HO) Package: xcolor-patch 2011/01/30 xcolor patch Package: atveryend 2011/06/30 v1.8 Hooks at the very end of document (HO) Package atveryend Info: \enddocument detected (standard20110627). Package: atbegshi 2011/10/05 v1.16 At begin shipout hook (HO) Package: refcount 2011/10/16 v3.4 Data extraction from label references (HO) Package: hycolor 2011/01/30 v1.7 Color options for hyperref/bookmark (HO) ) (/usr/share/texlive/texmf-dist/tex/generic/ifxetex/ifxetex.sty Package: ifxetex 2010/09/12 v0.6 Provides ifxetex conditional ) (/usr/share/texlive/texmf-dist/tex/latex/oberdiek/auxhook.sty Package: auxhook 2011/03/04 v1.3 Hooks for auxiliary files (HO) ) (/usr/share/texlive/texmf-dist/tex/latex/oberdiek/kvoptions.sty Package: kvoptions 2011/06/30 v3.11 Key value format for package options (HO) ) \@linkdim=\dimen123 \Hy@linkcounter=\count105 \Hy@pagecounter=\count106 (/usr/share/texlive/texmf-dist/tex/latex/hyperref/pd1enc.def File: pd1enc.def 2012/11/06 v6.83m Hyperref: PDFDocEncoding definition (HO) Now handling font encoding PD1 ... ... no UTF-8 mapping file for font encoding PD1 ) \Hy@SavedSpaceFactor=\count107 (/usr/share/texlive/texmf-dist/tex/latex/latexconfig/hyperref.cfg File: hyperref.cfg 2002/06/06 v1.2 hyperref configuration of TeXLive ) Package hyperref Info: Option `bookmarks' set `true' on input line 4319. Package hyperref Info: Option `bookmarksnumbered' set `true' on input line 4319 . Package hyperref Info: Option `colorlinks' set `true' on input line 4319. Package hyperref Info: Hyper figures OFF on input line 4443. Package hyperref Info: Link nesting OFF on input line 4448. Package hyperref Info: Hyper index ON on input line 4451. Package hyperref Info: Plain pages OFF on input line 4458. Package hyperref Info: Backreferencing OFF on input line 4463. Package hyperref Info: Implicit mode ON; LaTeX internals redefined. Package hyperref Info: Bookmarks ON on input line 4688. \c@Hy@tempcnt=\count108 (/usr/share/texlive/texmf-dist/tex/latex/url/url.sty \Urlmuskip=\muskip11 Package: url 2013/09/16 ver 3.4 Verb mode for urls, etc. ) LaTeX Info: Redefining \url on input line 5041. \XeTeXLinkMargin=\dimen124 \Fld@menulength=\count109 \Field@Width=\dimen125 \Fld@charsize=\dimen126 Package hyperref Info: Hyper figures OFF on input line 6295. Package hyperref Info: Link nesting OFF on input line 6300. Package hyperref Info: Hyper index ON on input line 6303. Package hyperref Info: backreferencing OFF on input line 6310. Package hyperref Info: Link coloring ON on input line 6313. Package hyperref Info: Link coloring with OCG OFF on input line 6320. Package hyperref Info: PDF/A mode OFF on input line 6325. LaTeX Info: Redefining \ref on input line 6365. LaTeX Info: Redefining \pageref on input line 6369. \Hy@abspage=\count110 \c@Item=\count111 \c@Hfootnote=\count112 ) Package hyperref Message: Driver (autodetected): hpdftex. (/usr/share/texlive/texmf-dist/tex/latex/hyperref/hpdftex.def File: hpdftex.def 2012/11/06 v6.83m Hyperref driver for pdfTeX \Fld@listcount=\count113 \c@bookmark@seq@number=\count114 (/usr/share/texlive/texmf-dist/tex/latex/oberdiek/rerunfilecheck.sty Package: rerunfilecheck 2011/04/15 v1.7 Rerun checks for auxiliary files (HO) Package uniquecounter Info: New unique counter `rerunfilecheck' on input line 2 82. ) \Hy@SectionHShift=\skip61 ) \c@currtheoctr=\count115 \c@endtheoctr=\count116 \c@theo=\count117 \c@currsupptheoctr=\count118 \c@endsupptheoctr=\count119 \c@supptheo=\count120 \c@currcorollaryctr=\count121 \c@endcorollaryctr=\count122 \c@corollary=\count123 \c@currlemmactr=\count124 \c@endlemmactr=\count125 \c@lemma=\count126 \applicationlength=\skip62 \c@currapplicationctr=\count127 \c@endapplicationctr=\count128 \c@application=\count129 \tasklength=\skip63 \c@currtaskctr=\count130 \c@endtaskctr=\count131 \c@task=\count132 \commentlength=\skip64 \c@currcommentctr=\count133 \c@endcommentctr=\count134 \c@comment=\count135 \examplelength=\skip65 \c@currexamplectr=\count136 \c@endexamplectr=\count137 \c@example=\count138 \notelength=\skip66 \c@currnotectr=\count139 \c@endnotectr=\count140 \c@note=\count141 \thesislength=\skip67 \c@currthesisctr=\count142 \c@endthesisctr=\count143 \c@thesis=\count144 \prooflength=\skip68 \c@currproofctr=\count145 \c@endproofctr=\count146 \c@proof=\count147 \definitionlength=\skip69 \c@currdefinectr=\count148 \c@enddefinectr=\count149 \c@define=\count150 \remindlength=\skip70 \c@currremindctr=\count151 \c@endremindctr=\count152 \c@remind=\count153 \conclusionlength=\skip71 \c@currconclusionctr=\count154 \c@endconclusionctr=\count155 \c@conclusion=\count156 \methodlength=\skip72 \c@currmethodctr=\count157 \c@endmethodctr=\count158 \c@method=\count159 \problemlength=\skip73 \c@currproblemctr=\count160 \c@endproblemctr=\count161 \c@problem=\count162 \propositionlength=\skip74 \c@currpropositionctr=\count163 \c@endpropositionctr=\count164 \c@proposition=\count165 \strategielength=\skip75 \c@currstrategiectr=\count166 \c@endstrategiectr=\count167 \c@strategie=\count168 \preremlength=\skip76 \c@currpreremctr=\count169 \c@endpreremctr=\count170 \c@prerem=\count171 \cautionlength=\skip77 \c@currcautionctr=\count172 \c@endcautionctr=\count173 \c@caution=\count174 \preplength=\skip78 \c@currprepctr=\count175 \c@endprepctr=\count176 \c@prep=\count177 \prepworklength=\skip79 \c@currprepworkctr=\count178 \c@endprepworkctr=\count179 \c@prepwork=\count180 \ziellength=\skip80 \c@currzielctr=\count181 \c@endzielctr=\count182 \c@ziel=\count183 \zwecklength=\skip81 \c@currzweckctr=\count184 \c@endzweckctr=\count185 ) \c@zweck=\count186 (../data/latexki.sty) \@indexfile=\write3 \openout3 = `LA2.idx'. Writing index file LA2.idx (./LA2.aux) \openout1 = `LA2.aux'. LaTeX Font Info: Checking defaults for OML/cmm/m/it on input line 14. LaTeX Font Info: ... okay on input line 14. LaTeX Font Info: Checking defaults for T1/cmr/m/n on input line 14. LaTeX Font Info: ... okay on input line 14. LaTeX Font Info: Checking defaults for OT1/cmr/m/n on input line 14. LaTeX Font Info: ... okay on input line 14. LaTeX Font Info: Checking defaults for OMS/cmsy/m/n on input line 14. LaTeX Font Info: ... okay on input line 14. LaTeX Font Info: Checking defaults for OMX/cmex/m/n on input line 14. LaTeX Font Info: ... okay on input line 14. LaTeX Font Info: Checking defaults for U/cmr/m/n on input line 14. LaTeX Font Info: ... okay on input line 14. LaTeX Font Info: Checking defaults for PD1/pdf/m/n on input line 14. LaTeX Font Info: ... okay on input line 14. (/usr/share/texlive/texmf-dist/tex/context/base/supp-pdf.mkii [Loading MPS to PDF converter (version 2006.09.02).] \scratchcounter=\count187 \scratchdimen=\dimen127 \scratchbox=\box29 \nofMPsegments=\count188 \nofMParguments=\count189 \everyMPshowfont=\toks42 \MPscratchCnt=\count190 \MPscratchDim=\dimen128 \MPnumerator=\count191 \makeMPintoPDFobject=\count192 \everyMPtoPDFconversion=\toks43 ) \AtBeginShipoutBox=\box30 Package hyperref Info: Link coloring ON on input line 14. (/usr/share/texlive/texmf-dist/tex/latex/hyperref/nameref.sty Package: nameref 2012/10/27 v2.43 Cross-referencing by name of section (/usr/share/texlive/texmf-dist/tex/generic/oberdiek/gettitlestring.sty Package: gettitlestring 2010/12/03 v1.4 Cleanup title references (HO) ) \c@section@level=\count193 ) LaTeX Info: Redefining \ref on input line 14. LaTeX Info: Redefining \pageref on input line 14. LaTeX Info: Redefining \nameref on input line 14. (./LA2.out) (./LA2.out) \@outlinefile=\write4 \openout4 = `LA2.out'. LaTeX Font Info: Try loading font information for U+msa on input line 16. (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/umsa.fd File: umsa.fd 2013/01/14 v3.01 AMS symbols A ) LaTeX Font Info: Try loading font information for U+msb on input line 16. (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/umsb.fd File: umsb.fd 2013/01/14 v3.01 AMS symbols B ) LaTeX Font Info: Try loading font information for U+stmry on input line 16. (/usr/share/texlive/texmf-dist/tex/latex/stmaryrd/Ustmry.fd) Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 16. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 16. Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 16. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 16. [1 {/var/lib/texmf/fonts/map/pdftex/updmap/pdftex.map}] Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 18. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 18. Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 20. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 20. Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 20. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 20. [2 ] (./LA2.toc Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 45. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 45. Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 45. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 45. [3]) \tf@toc=\write5 \openout5 = `LA2.toc'. Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 22. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 22. Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 22. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 22. [4] Kapitel I. Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 22. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 22. Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 24. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 24. Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 30. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 30. Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 34. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 34. Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 45. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 45. Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 45. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 45. [5 ] Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 45. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 45. Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 45. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 45. [6 ] \IeC {\textsection } 14. Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 45. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 45. Package hyperref Info: bookmark level for unknown ziel defaults to 0 on input l ine 49. Package hyperref Info: bookmark level for unknown remind defaults to 0 on input line 53. Package hyperref Info: bookmark level for unknown strategie defaults to 0 on in put line 65. Package hyperref Info: bookmark level for unknown define defaults to 0 on input line 67. Package hyperref Info: bookmark level for unknown comment defaults to 0 on inpu t line 76. Package hyperref Info: bookmark level for unknown proof defaults to 0 on input line 96. Package hyperref Info: bookmark level for unknown theo defaults to 0 on input l ine 112. Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 124. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 124. Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 124. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 124. [7] Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 182. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 182. Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 182. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 182. [8] Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 227. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 227. Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 227. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 227. [9] Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 280. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 280. Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 280. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 280. [10] Package hyperref Info: bookmark level for unknown supptheo defaults to 0 on inp ut line 311. Package hyperref Info: bookmark level for unknown note defaults to 0 on input l ine 325. Package hyperref Info: bookmark level for unknown thesis defaults to 0 on input line 339. Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 351. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 351. Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 351. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 351. [11] LaTeX Font Info: Try loading font information for OMS+cmr on input line 365. (/usr/share/texlive/texmf-dist/tex/latex/base/omscmr.fd File: omscmr.fd 1999/05/25 v2.5h Standard LaTeX font definitions ) LaTeX Font Info: Font shape `OMS/cmr/m/n' in size <10.95> not available (Font) Font shape `OMS/cmsy/m/n' tried instead on input line 365. Package hyperref Info: bookmark level for unknown conclusion defaults to 0 on i nput line 378. Overfull \hbox (1.89188pt too wide) in paragraph at lines 394--397 []\OT1/cmr/m/n/10.95 Die Dar-stel-lungs-ma-trix von $\OML/cmm/m/it/10.95 ^^^\OM S/cmsy/m/n/10.95 j[]$ \OT1/cmr/m/n/10.95 bez[]uglich der Ba-sis $\OML/cmm/m/it/ 10.95 B \OT1/cmr/m/n/10.95 = \OMS/cmsy/m/n/10.95 f\OML/cmm/m/it/10.95 u; ^^^\OT 1/cmr/m/n/10.95 (\OML/cmm/m/it/10.95 u\OT1/cmr/m/n/10.95 )\OML/cmm/m/it/10.95 ; ^^^[]\OT1/cmr/m/n/10.95 (\OML/cmm/m/it/10.95 u\OT1/cmr/m/n/10.95 )\OML/cmm/m/i t/10.95 ; [] ; ^^^[]\OT1/cmr/m/n/10.95 (\OML/cmm/m/it/10.95 u\OT1/cmr/m/n/10.95 )\OMS/cmsy/m/n/10.95 g$ [] Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 404. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 404. Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 404. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 404. [12] Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 471. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 471. Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 471. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 471. [13] Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 548. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 548. Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 548. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 548. [14] Overfull \hbox (14.3948pt too wide) in paragraph at lines 550--554 []\OT1/cmr/m/n/10.95 Wegen der Vor-aus-set-zung an $\OML/cmm/m/it/10.95 g[]$ \O T1/cmr/m/n/10.95 ist $\OML/cmm/m/it/10.95 V \OT1/cmr/m/n/10.95 = [][] []$ mit $ \OML/cmm/m/it/10.95 H\OT1/cmr/m/n/10.95 (\OML/cmm/m/it/10.95 ^^^; ^^U\OT1/cmr/m /n/10.95 ) = [] []$. [] Package hyperref Info: bookmark level for unknown corollary defaults to 0 on in put line 586. Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 610. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 610. Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 610. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 610. [15] Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 672. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 672. Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 672. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 672. [16] \IeC {\textsection } 15. Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 672. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 672. Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 673. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 673. Overfull \hbox (18.34375pt too wide) in paragraph at lines 678--681 []\OT1/cmr/m/n/10.95 Seien $\OML/cmm/m/it/10.95 V; W$ $K$\OT1/cmr/m/n/10.95 -VR me. Ei-ne Ab-bil-dung $\OML/cmm/m/it/10.95 P \OT1/cmr/m/n/10.95 : \OML/cmm/m/it /10.95 V \OMS/cmsy/m/n/10.95 ^^B \OML/cmm/m/it/10.95 W \OMS/cmsy/m/n/10.95 ! \O ML/cmm/m/it/10.95 K$ \OT1/cmr/m/n/10.95 hei^^Yt []\OT1/cmr/bx/n/10.95 Paarung\O T1/cmr/m/n/10.95 , [] Package hyperref Info: bookmark level for unknown example defaults to 0 on inpu t line 697. Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 725. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 725. Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 725. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 725. [17 ] Overfull \hbox (11.46544pt too wide) in paragraph at lines 736--740 []\OT1/cmr/m/n/10.95 Seien $\OML/cmm/m/it/10.95 V; W$ $K$\OT1/cmr/m/n/10.95 -VR me mit je-wei-li-ger Ba-sis $\OML/cmm/m/it/10.95 B \OT1/cmr/m/n/10.95 := \OMS/c msy/m/n/10.95 f\OML/cmm/m/it/10.95 b[]; [] ; b[]\OMS/cmsy/m/n/10.95 g ^^R \OML/ cmm/m/it/10.95 V; C \OT1/cmr/m/n/10.95 := \OMS/cmsy/m/n/10.95 f\OML/cmm/m/it/10 .95 c[]; [] ; c[]\OMS/cmsy/m/n/10.95 g ^^R [] Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 781. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 781. Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 781. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 781. [18] Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 830. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 830. Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 830. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 830. [19] Overfull \hbox (1.43193pt too wide) in paragraph at lines 874--880 \OML/cmm/m/it/10.95 P\OMS/cmsy/m/n/10.95 j[]$ \OT1/cmr/m/n/10.95 sym-me-trisch ist, exis-tiert nach In-duk-ti-ons-vor-aus-set-zung ei-ne OGB $\OMS/cmsy/m/n/10 .95 f\OML/cmm/m/it/10.95 b[]; [] ; b[]\OMS/cmsy/m/n/10.95 g$ [] Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 885. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 885. Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 885. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 885. [20] Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 892. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 892. Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 915. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 915. Package hyperref Info: bookmark level for unknown task defaults to 0 on input l ine 936. Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 937. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 937. Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 937. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 937. [21] Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 975. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 975. Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 975. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 975. [22] Underfull \hbox (badness 10000) in paragraph at lines 981--990 \OT1/cmr/m/n/10.95 ver-sel-len Ab-bil-dungs-ei-gen-schaft. Da-zu be-nut-ze den $\OML/cmm/m/it/10.95 K$\OT1/cmr/m/n/10.95 -Vektorraum [] Underfull \hbox (badness 10000) in paragraph at lines 981--990 \OT1/cmr/m/n/10.95 Sei $\OML/cmm/m/it/10.95 f \OT1/cmr/m/n/10.95 : \OML/cmm/m/ it/10.95 V \OMS/cmsy/m/n/10.95 ^^B \OML/cmm/m/it/10.95 W \OMS/cmsy/m/n/10.95 ! \OML/cmm/m/it/10.95 K$ \OT1/cmr/m/n/10.95 ei-ne Ab-bil-dung mit end-li-chem Tr[ ]ager [] Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 1050. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 1050. Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 1050. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 1050. [23] Package hyperref Info: bookmark level for unknown application defaults to 0 on input line 1055. Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 1078. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 1078. Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 1078. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 1078. [24] \IeC {\textsection } 16. Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 1078. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 1078. Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 1132. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 1132. Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 1132. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 1132. [25 ] Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 1189. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 1189. Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 1189. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 1189. [26] Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 1251. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 1251. Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 1251. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 1251. [27] Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 1290. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 1290. Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 1290. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 1290. [28] Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 1315. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 1315. Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 1315. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 1315. [29] Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 1315. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 1315. Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 1315. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 1315. [30 ] \IeC {\textsection } 17. Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 1315. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 1315. Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 1317. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 1317. Package hyperref Info: bookmark level for unknown prerem defaults to 0 on input line 1320. Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 1372. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 1372. Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 1372. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 1372. [31] Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 1396. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 1396. Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 1427. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 1427. Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 1427. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 1427. [32] Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 1484. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 1484. Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 1484. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 1484. [33] Overfull \hbox (2.29831pt too wide) in paragraph at lines 1534--1539 \OT1/cmr/m/n/10.95 Das Schmidt-sche Or-tho-go-na-li-sie-rungs-ver-fah-ren lie-f ert ei-ne Or-tho-nor-mal-ba-sis und [] Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 1549. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 1549. Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 1549. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 1549. [34] Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 1603. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 1603. Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 1603. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 1603. [35] Overfull \hbox (11.84131pt too wide) in paragraph at lines 1617--1621 \OT1/cmr/m/n/10.95 Das Schmidt-sche Or-tho-go-na-li-sie-rungs-ver-fah-ren lie-f ert ei-ne Or-tho-nor-mal-ba-sis $\OMS/cmsy/m/n/10.95 f\OML/cmm/m/it/10.95 c[]; [] ; c[]\OMS/cmsy/m/n/10.95 g$ [] Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 1628. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 1628. Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 1651. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 1651. Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 1651. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 1651. [36] Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 1707. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 1707. Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 1707. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 1707. [37] Package hyperref Info: bookmark level for unknown lemma defaults to 0 on input line 1728. Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 1751. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 1751. Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 1751. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 1751. [38] Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 1753. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 1753. Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 1753. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 1753. [39] Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 1753. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 1753. Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 1753. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 1753. [40 ] \IeC {\textsection } 18. Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 1753. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 1753. Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 1755. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 1755. Package hyperref Info: bookmark level for unknown proposition defaults to 0 on input line 1799. Overfull \hbox (0.35983pt too wide) in paragraph at lines 1815--1817 []\OT1/cmr/m/n/10.95 Aus $\OML/cmm/m/it/10.95 ^^^ \OMS/cmsy/m/n/10.95 2 [][]\OT 1/cmr/m/n/10.95 (\OML/cmm/m/it/10.95 V; W\OT1/cmr/m/n/10.95 )$ folgt $\OML/cmm/ m/it/10.95 ^^^[] \OMS/cmsy/m/n/10.95 2 [][]\OT1/cmr/m/n/10.95 (\OML/cmm/m/it/10 .95 W; V\OT1/cmr/m/n/10.95 )$ und $(\OML/cmm/m/it/10.95 ^^^[]\OT1/cmr/m/n/10.95 )[] = \OML/cmm/m/it/10.95 ^^^$\OT1/cmr/m/n/10.95 , so-wie $[] \OML/cmm/m/it/10 .95 ^^^ \OT1/cmr/m/n/10.95 = [] Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 1817. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 1817. Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 1817. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 1817. [41] Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 1879. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 1879. Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 1879. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 1879. [42] Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 1882. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 1882. Overfull \hbox (0.65028pt too wide) in paragraph at lines 1898--1900 []\OT1/cmr/m/n/10.95 Ist $\OML/cmm/m/it/10.95 ^^^$ \OT1/cmr/m/n/10.95 nor-mal, dann folgt $[](\OML/cmm/m/it/10.95 ^^^\OT1/cmr/m/n/10.95 ) = [](\OML/cmm/m/it/1 0.95 ^^^[]\OT1/cmr/m/n/10.95 )$, ins-be-son-de-re $\OML/cmm/m/it/10.95 E[]\OT1/ cmr/m/n/10.95 (\OML/cmm/m/it/10.95 ^^^\OT1/cmr/m/n/10.95 ) = \OML/cmm/m/it/10.9 5 E[]\OT1/cmr/m/n/10.95 (\OML/cmm/m/it/10.95 ^^^[]\OT1/cmr/m/n/10.95 )$. [] Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 1929. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 1929. Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 1929. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 1929. [43] Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 1983. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 1983. Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 1983. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 1983. [44] Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 2029. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 2029. Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 2029. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 2029. [45] Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 2075. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 2075. Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 2085. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 2085. Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 2085. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 2085. [46] Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 2136. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 2136. Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 2136. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 2136. [47] Underfull \hbox (badness 10000) in paragraph at lines 2136--2139 [] Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 2188. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 2188. Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 2188. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 2188. [48] Package hyperref Info: bookmark level for unknown caution defaults to 0 on inpu t line 2210. Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 2222. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 2222. Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 2222. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 2222. [49] Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 2222. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 2222. Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 2222. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 2222. [50 ] \IeC {\textsection } 19. Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 2222. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 2222. Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 2229. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 2229. Overfull \hbox (6.15709pt too wide) in paragraph at lines 2234--2236 []\OT1/cmr/m/n/10.95 Ein \OT1/cmr/bx/n/10.95 Mor-phis-mus von $[]$-VRmen mit Se s-qui-li-ne-ar-form \OT1/cmr/m/n/10.95 ist $^^H \OMS/cmsy/m/n/10.95 2 []\OT1/cm r/m/n/10.95 (\OML/cmm/m/it/10.95 V[]; V[]\OT1/cmr/m/n/10.95 )$ [] Underfull \hbox (badness 10000) in paragraph at lines 2234--2236 [] Underfull \hbox (badness 10000) in paragraph at lines 2246--2247 [] Overfull \hbox (3.73405pt too wide) in paragraph at lines 2263--2270 \OML/cmm/m/it/10.95 U\OT1/cmr/m/n/10.95 (\OML/cmm/m/it/10.95 V; s\OT1/cmr/m/n/1 0.95 ) := [](\OML/cmm/m/it/10.95 s\OT1/cmr/m/n/10.95 )$ hei^^Yt \OT1/cmr/bx/n/1 0.95 unit[]are Grup-pe\OT1/cmr/m/n/10.95 . Die Ele-men-te der Grup-pe hei-^^Yen \OT1/cmr/bx/n/10.95 unit[]are [] Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 2276. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 2276. Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 2276. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 2276. [51] Underfull \hbox (badness 10000) in paragraph at lines 2278--2279 [] Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 2338. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 2338. Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 2338. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 2338. [52] Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 2379. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 2379. Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 2379. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 2379. [53] Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 2414. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 2414. Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 2414. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 2414. [54] Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 2419. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 2419. Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 2422. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 2422. Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): (hyperref) removing `math shift' on input line 2422. Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): (hyperref) removing `math shift' on input line 2422. Underfull \hbox (badness 10000) in paragraph at lines 2432--2434 [] Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 2462. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 2462. Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 2462. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 2462. [55] Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 2478. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 2478. Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): (hyperref) removing `math shift' on input line 2478. Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): (hyperref) removing `math shift' on input line 2478. Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 2515. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 2515. Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 2515. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 2515. [56] Underfull \hbox (badness 2735) in paragraph at lines 2546--2552 \OT1/cmr/m/n/10.95 Ferner sei $\OML/cmm/m/it/10.95 Spec\OT1/cmr/m/n/10.95 (\OML /cmm/m/it/10.95 ^^^\OT1/cmr/m/n/10.95 ) = \OMS/cmsy/m/n/10.95 f\OML/cmm/m/it/10 .95 ^^U[]; [] ; ^^U[]; ^^U[]; []; [] ; ^^U[]; []\OMS/cmsy/m/n/10.95 g$ \OT1/cmr /m/n/10.95 mit $\OML/cmm/m/it/10.95 ^^U[] \OMS/cmsy/m/n/10.95 2 \U/msb/m/n/10.9 5 R \OT1/cmr/m/n/10.95 (\OML/cmm/m/it/10.95 j \OT1/cmr/m/n/10.95 = [] Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 2575. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 2575. Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 2575. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 2575. [57] Underfull \hbox (badness 10000) in paragraph at lines 2584--2586 [] Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 2627. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 2627. Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 2627. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 2627. [58] Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 2684. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 2684. Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 2684. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 2684. [59] Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 2684. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 2684. Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 2684. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 2684. [60 ] \IeC {\textsection } 20. Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 2684. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 2684. Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 2699. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 2699. Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 2730. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 2730. Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 2730. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 2730. [61] Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 2790. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 2790. Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 2790. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 2790. [62] Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 2829. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 2829. Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 2829. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 2829. [63] Underfull \hbox (badness 10000) in paragraph at lines 2867--2870 [] Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 2870. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 2870. Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 2870. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 2870. [64] Underfull \hbox (badness 10000) in paragraph at lines 2870--2873 [] Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 2880. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 2880. Underfull \hbox (badness 10000) in paragraph at lines 2888--2891 [] Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 2919. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 2919. Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 2919. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 2919. [65] Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 2964. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 2964. Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 2964. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 2964. [66] Underfull \hbox (badness 10000) in paragraph at lines 2965--2966 [] Overfull \hbox (30.22694pt too wide) in paragraph at lines 3002--3003 []\OT1/cmr/m/n/10.95 Auf den Teilr[]aumen ei-ner fes-ten Di-men-si-on ist Par-a l-le-lit[]at ei-ne []Aquivalenzrelation. [] Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 3010. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 3010. Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 3010. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 3010. [67] Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 3067. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 3067. Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 3067. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 3067. [68] Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 3078. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 3078. Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 3078. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 3078. [69] Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 3078. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 3078. Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 3078. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 3078. [70 ] \IeC {\textsection } 21. Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 3078. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 3078. Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 3079. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 3079. Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 3132. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 3132. Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 3132. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 3132. [71] Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 3187. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 3187. Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 3187. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 3187. [72] Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 3236. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 3236. Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 3236. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 3236. [73] Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 3260. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 3260. Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): (hyperref) removing `math shift' on input line 3260. Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): (hyperref) removing `subscript' on input line 3260. Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): (hyperref) removing `math shift' on input line 3260. Underfull \hbox (badness 10000) in paragraph at lines 3261--3263 [] Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 3277. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 3277. Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 3277. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 3277. [74] Overfull \hbox (8.2485pt too wide) in paragraph at lines 3287--3290 \OT1/cmr/m/n/10.95 Dann hat der Kern von $\OML/cmm/m/it/10.95 ^^Z[]$ \OT1/cmr/m /n/10.95 Di-men-si-on $\OML/cmm/m/it/10.95 n \OMS/cmsy/m/n/10.95 ^^@ \OML/cmm/m /it/10.95 r$ \OT1/cmr/m/n/10.95 und ei-ne Ba-sis aus Zei-len-vek-to-ren $\OMS/c msy/m/n/10.95 f\OML/cmm/m/it/10.95 c[]; [] ; c[]\OMS/cmsy/m/n/10.95 g$\OT1/cmr/ m/n/10.95 . [] Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 3353. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 3353. Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 3353. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 3353. [75] Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 3405. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 3405. Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 3405. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 3405. [76] Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 3409. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 3409. Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 3448. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 3448. Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 3448. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 3448. [77] Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 3485. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 3485. Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 3485. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 3485. [78] Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 3517. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 3517. Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 3535. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 3535. Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 3535. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 3535. [79] Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 3589. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 3589. Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 3589. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 3589. [80] Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 3604. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 3604. Underfull \hbox (badness 2460) in paragraph at lines 3625--3629 []\OT1/cmr/m/n/10.95 Dann gilt f[]ur $\OML/cmm/m/it/10.95 O; P; Q \OMS/cmsy/m/n /10.95 2 \OML/cmm/m/it/10.95 A \OT1/cmr/m/n/10.95 : \OML/cmm/m/it/10.95 '\OT1/ cmr/m/n/10.95 ([\OML/cmm/m/it/10.95 P; Q\OT1/cmr/m/n/10.95 ]) = [\OML/cmm/m/it/ 10.95 '\OT1/cmr/m/n/10.95 (\OML/cmm/m/it/10.95 Q\OT1/cmr/m/n/10.95 )\OML/cmm/m/ it/10.95 ; '\OT1/cmr/m/n/10.95 (\OML/cmm/m/it/10.95 P\OT1/cmr/m/n/10.95 )]$ und $\OML/cmm/m/it/10.95 '\OT1/cmr/m/n/10.95 ([\OML/cmm/m/it/10.95 O; P; Q\OT1/cmr /m/n/10.95 ]) = [] Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 3642. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 3642. Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 3642. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 3642. [81] Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 3708. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 3708. Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 3708. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 3708. [82] Underfull \hbox (badness 2662) in paragraph at lines 3733--3741 []\OT1/cmr/m/n/10.95 Dies ist leicht zu re-du-zie-ren auf den Fall: $\OML/cmm/m /it/10.95 P; Q$ \OT1/cmr/m/n/10.95 sind li-ne-ar un-abh[]angig: [] Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 3759. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 3759. Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 3759. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 3759. [83] Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 3797. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 3797. Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 3797. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 3797. [84] \IeC {\textsection } 22. Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 3797. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 3797. Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 3802. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 3802. Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 3852. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 3852. Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 3852. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 3852. [85 ] Overfull \hbox (6.69768pt too wide) in paragraph at lines 3885--3887 []$\OML/cmm/m/it/10.95 A; B$ \OT1/cmr/m/n/10.95 af-fi-ne Teilr[]aume ei-nes eu- kli-di-schen Raum-es $\OML/cmm/m/it/10.95 E$ \OT1/cmr/m/n/10.95 hei-^^Yen \OT1/ cmr/bx/n/10.95 or-tho-go-nal\OT1/cmr/m/n/10.95 , falls $\OML/cmm/m/it/10.95 U[] \OMS/cmsy/m/n/10.95 ?\OML/cmm/m/it/10.95 U[]$\OT1/cmr/m/n/10.95 . [] Package hyperref Info: bookmark level for unknown method defaults to 0 on input line 3895. Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 3917. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 3917. Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 3917. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 3917. [86] Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 3961. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 3961. Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 3961. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 3961. [87] Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 3964. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 3964. Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): (hyperref) removing `math shift' on input line 3964. Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): (hyperref) removing `superscript' on input line 3964. Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): (hyperref) removing `math shift' on input line 3964. Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 4024. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 4024. Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 4024. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 4024. [88] Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 4026. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 4026. Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 4075. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 4075. Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 4075. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 4075. [89] Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 4125. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 4125. Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 4125. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 4125. [90] Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 4152. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 4152. Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 4152. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 4152. [91] Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 4152. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 4152. Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 4152. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 4152. [92 ] \IeC {\textsection } 23. Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 4152. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 4152. Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 4153. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 4153. Package hyperref Info: bookmark level for unknown prepwork defaults to 0 on inp ut line 4181. Package hyperref Info: bookmark level for unknown prep defaults to 0 on input l ine 4214. Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 4217. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 4217. Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 4217. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 4217. [93] Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 4266. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 4266. Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 4266. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 4266. [94] Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 4338. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 4338. Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 4338. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 4338. [95] Overfull \hbox (16.51697pt too wide) in paragraph at lines 4351--4356 \OT1/cmr/m/n/10.95 Behauptung: $\OML/cmm/m/it/10.95 p \OT1/cmr/m/n/10.95 = [] [ ]$ wo-bei $\OML/cmm/m/it/10.95 s[]\OT1/cmr/m/n/10.95 (\OML/cmm/m/it/10.95 x; y\ OT1/cmr/m/n/10.95 ) := [] Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 4379. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 4379. Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 4379. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 4379. [96] Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 4438. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 4438. Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 4438. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 4438. [97] Overfull \hbox (46.32161pt too wide) in paragraph at lines 4458--4462 \OT1/cmr/m/n/10.95 Jetzt sei $\OML/cmm/m/it/10.95 Az \OT1/cmr/m/n/10.95 = \OMS/ cmsy/m/n/10.95 ^^@\OML/cmm/m/it/10.95 b$ \OT1/cmr/m/n/10.95 unl[]osbar. Es ist aber auch f[]ur $\OML/cmm/m/it/10.95 A$ \OT1/cmr/m/n/10.95 Dia-go-nal-form er-r eich-bar: $\OML/cmm/m/it/10.95 A \OT1/cmr/m/n/10.95 = [](\OML/cmm/m/it/10.95 [ ]; [] ; []; \OT1/cmr/m/n/10.95 0\OML/cmm/m/it/10.95 ; [] ; \OT1/cmr/m/n/10.95 0)$, [] Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 4494. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 4494. Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 4494. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 4494. [98] Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 4512. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 4512. Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 4560. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 4560. Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 4560. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 4560. [99] Underfull \hbox (badness 10000) in paragraph at lines 4611--4616 \OT1/cmr/m/n/10.95 Kettenregel an-wen-den auf $\OML/cmm/m/it/10.95 f \OMS/cmsy/ m/n/10.95 ^^N \OML/cmm/m/it/10.95 '[]\OT1/cmr/m/n/10.95 (\OML/cmm/m/it/10.95 X\ OT1/cmr/m/n/10.95 ) = \OML/cmm/m/it/10.95 f\OT1/cmr/m/n/10.95 (\OML/cmm/m/it/10 .95 AX \OT1/cmr/m/n/10.95 + \OML/cmm/m/it/10.95 b\OT1/cmr/m/n/10.95 )$ mit [] Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 4621. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 4621. Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 4621. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 4621. [100] Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 4665. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 4665. Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 4676. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 4676. Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 4676. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 4676. [101] Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 4757. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 4757. Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 4757. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 4757. [102] Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 4764. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 4764. Package hyperref Info: bookmark level for unknown problem defaults to 0 on inpu t line 4768. Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 4818. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 4818. Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 4818. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 4818. [103] Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 4875. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 4875. Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 4875. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 4875. [104] Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 4925. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 4925. Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 4925. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 4925. [105] Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 4927. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 4927. Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 4927. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 4927. [106] \IeC {\textsection } 24. Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 4927. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 4927. Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 4928. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 4928. Package hyperref Info: bookmark level for unknown zweck defaults to 0 on input line 4931. Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 4993. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 4993. Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 4993. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 4993. [107 ] Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 5044. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 5044. Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 5044. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 5044. [108] Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 5054. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 5054. Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 5107. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 5107. Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 5107. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 5107. [109] Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 5133. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 5133. Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 5166. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 5166. Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 5166. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 5166. [110] Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 5196. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 5196. Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 5220. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 5220. Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 5220. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 5220. [111] Overfull \hbox (1.15227pt too wide) in paragraph at lines 5251--5257 []\OT1/cmr/m/n/10.95 F[]ur ei-gent-li-che Punk-te $\OML/cmm/m/it/10.95 p \OT1/c mr/m/n/10.95 = (\OML/cmm/m/it/10.95 y[] \OT1/cmr/m/n/10.95 : \OML/cmm/m/it/10.9 5 y[] \OT1/cmr/m/n/10.95 : [] : \OML/cmm/m/it/10.95 y[]\OT1/cmr/m/n/10.95 )$, d .h. $\OML/cmm/m/it/10.95 p \OMS/cmsy/m/n/10.95 62 \OML/cmm/m/it/10.95 H$\OT1/cm r/m/n/10.95 , gilt: $\OML/cmm/m/it/10.95 y[] \OMS/cmsy/m/n/10.95 6\OT1/cmr/m/n/ 10.95 = 0$, al-so $\OML/cmm/m/it/10.95 p \OT1/cmr/m/n/10.95 = []$, [] Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 5296. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 5296. Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 5296. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 5296. [112] (./LA2.ind Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 1. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 1. Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 1. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 1. [113] Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 1. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 1. Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 1. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 1. [114 ] Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 100. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 100. Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 100. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 100. [115 ] Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 221. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 221. Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 221. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 221. [116] Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 313. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 313. Package babel Info: Redefining ngerman shorthand "| (babel) in language on input line 313. Package babel Info: Redefining ngerman shorthand "~ (babel) in language on input line 313. [117]) \tf@thm=\write6 \openout6 = `LA2.thm'. Package atveryend Info: Empty hook `BeforeClearDocument' on input line 5344. Package atveryend Info: Empty hook `AfterLastShipout' on input line 5344. (./LA2.aux) Package atveryend Info: Executing hook `AtVeryEndDocument' on input line 5344. Package atveryend Info: Executing hook `AtEndAfterFileList' on input line 5344. Package rerunfilecheck Info: File `LA2.out' has not changed. (rerunfilecheck) Checksum: 17048CA320C53CE01B6A2BB09086336B;3589. Package atveryend Info: Empty hook `AtVeryVeryEnd' on input line 5344. ) Here is how much of TeX's memory you used: 10685 strings out of 493304 150294 string characters out of 6139872 282760 words of memory out of 5000000 13206 multiletter control sequences out of 15000+600000 18538 words of font info for 72 fonts, out of 8000000 for 9000 957 hyphenation exceptions out of 8191 45i,22n,51p,827b,607s stack positions out of 5000i,500n,10000p,200000b,80000s Output written on LA2.pdf (117 pages, 607464 bytes). PDF statistics: 1940 PDF objects out of 2073 (max. 8388607) 1747 compressed objects within 18 object streams 804 named destinations out of 1000 (max. 500000) 377 words of extra memory for PDF output out of 10000 (max. 10000000)