This is TeX, Version 3.14159 (Web2C 7.3.7) (format=latex 2002.5.3) 14 JUN 2002 14:44 **091.tex (./091.tex LaTeX2e <2001/06/01> Babel and hyphenation patterns for american, french, german, ngerman, n ohyphenation, loaded. (/usr/share/texmf/tex/latex/amscls/amsart.cls Document Class: amsart 2000/10/26 v2.08 \linespacing=\dimen102 \normalparindent=\dimen103 \normaltopskip=\skip41 (/usr/share/texmf/tex/latex/amsmath/amsmath.sty Package: amsmath 2000/07/18 v2.13 AMS math features \@mathmargin=\skip42 For additional information on amsmath, use the `?' option. (/usr/share/texmf/tex/latex/amsmath/amstext.sty Package: amstext 2000/06/29 v2.01 (/usr/share/texmf/tex/latex/amsmath/amsgen.sty File: amsgen.sty 1999/11/30 v2.0 \@emptytoks=\toks14 \ex@=\dimen104 )) (/usr/share/texmf/tex/latex/amsmath/amsbsy.sty Package: amsbsy 1999/11/29 v1.2d \pmbraise@=\dimen105 ) (/usr/share/texmf/tex/latex/amsmath/amsopn.sty Package: amsopn 1999/12/14 v2.01 operator names ) \inf@bad=\count79 LaTeX Info: Redefining \frac on input line 211. \uproot@=\count80 \leftroot@=\count81 LaTeX Info: Redefining \overline on input line 307. \classnum@=\count82 \DOTSCASE@=\count83 LaTeX Info: Redefining \ldots on input line 379. LaTeX Info: Redefining \dots on input line 382. LaTeX Info: Redefining \cdots on input line 467. \Mathstrutbox@=\box26 \strutbox@=\box27 \big@size=\dimen106 LaTeX Font Info: Redeclaring font encoding OML on input line 567. LaTeX Font Info: Redeclaring font encoding OMS on input line 568. \macc@depth=\count84 \c@MaxMatrixCols=\count85 \dotsspace@=\muskip10 \c@parentequation=\count86 \dspbrk@lvl=\count87 \tag@help=\toks15 \row@=\count88 \column@=\count89 \maxfields@=\count90 \andhelp@=\toks16 \eqnshift@=\dimen107 \alignsep@=\dimen108 \tagshift@=\dimen109 \tagwidth@=\dimen110 \totwidth@=\dimen111 \lineht@=\dimen112 \@envbody=\toks17 \multlinegap=\skip43 \multlinetaggap=\skip44 \mathdisplay@stack=\toks18 LaTeX Info: Redefining \[ on input line 2666. LaTeX Info: Redefining \] on input line 2667. ) LaTeX Font Info: Try loading font information for U+msa on input line 395. (/usr/share/texmf/tex/latex/amsfonts/umsa.fd File: umsa.fd 1995/01/05 v2.2e AMS font definitions ) (/usr/share/texmf/tex/latex/amsfonts/amsfonts.sty Package: amsfonts 1997/09/17 v2.2e \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 133. ) \copyins=\insert233 \abstractbox=\box28 \listisep=\skip45 \c@part=\count91 \c@section=\count92 \c@subsection=\count93 \c@subsubsection=\count94 \c@paragraph=\count95 \c@subparagraph=\count96 \c@figure=\count97 \c@table=\count98 \abovecaptionskip=\skip46 \belowcaptionskip=\skip47 \captionindent=\dimen113 \thm@style=\toks19 \thm@bodyfont=\toks20 \thm@headfont=\toks21 \thm@notefont=\toks22 \thm@headpunct=\toks23 \thm@preskip=\skip48 \thm@postskip=\skip49 \thm@headsep=\skip50 \dth@everypar=\toks24 ) (/usr/share/texmf/tex/latex/amsmath/amscd.sty Package: amscd 1999/11/29 v2.0 \athelp@=\toks25 \minaw@=\dimen114 \bigaw@=\dimen115 \minCDarrowwidth=\dimen116 ) (/usr/share/texmf/tex/latex/tools/verbatim.sty Package: verbatim 2001/03/12 v1.5p LaTeX2e package for verbatim enhancements \every@verbatim=\toks26 \verbatim@line=\toks27 \verbatim@in@stream=\read1 ) (/usr/share/texmf/tex/latex/amsfonts/amssymb.sty Package: amssymb 1996/11/03 v2.2b ) \c@thm=\count99 (./091.aux) \openout1 = `091.aux'. LaTeX Font Info: Checking defaults for OML/cmm/m/it on input line 167. LaTeX Font Info: ... okay on input line 167. LaTeX Font Info: Checking defaults for T1/cmr/m/n on input line 167. LaTeX Font Info: ... okay on input line 167. LaTeX Font Info: Checking defaults for OT1/cmr/m/n on input line 167. LaTeX Font Info: ... okay on input line 167. LaTeX Font Info: Checking defaults for OMS/cmsy/m/n on input line 167. LaTeX Font Info: ... okay on input line 167. LaTeX Font Info: Checking defaults for OMX/cmex/m/n on input line 167. LaTeX Font Info: ... okay on input line 167. LaTeX Font Info: Checking defaults for U/cmr/m/n on input line 167. LaTeX Font Info: ... okay on input line 167. LaTeX Font Info: Try loading font information for U+msa on input line 167. (/usr/share/texmf/tex/latex/amsfonts/umsa.fd File: umsa.fd 1995/01/05 v2.2e AMS font definitions ) LaTeX Font Info: Try loading font information for U+msb on input line 167. (/usr/share/texmf/tex/latex/amsfonts/umsb.fd File: umsb.fd 1995/01/05 v2.2e AMS font definitions ) LaTeX Font Info: Try loading font information for OMS+cmr on input line 282. (/usr/share/texmf/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 <12> not available (Font) Font shape `OMS/cmsy/m/n' tried instead on input line 282. [1] [2] [3] [4] Overfull \hbox (9.83603pt too wide) in paragraph at lines 644--656 []\OT1/cmr/m/n/12 Let $\OML/cmm/m/it/12 ^^^$ \OT1/cmr/m/n/12 be an anisotropic qua-dratic form giv-ing a counter- [] [5] [6] [7] (./091.aux) ) Here is how much of TeX's memory you used: 1716 strings out of 10847 17877 string characters out of 70947 68868 words of memory out of 263001 4506 multiletter control sequences out of 10000+0 12722 words of font info for 49 fonts, out of 400000 for 1000 175 hyphenation exceptions out of 1000 34i,17n,32p,258b,330s stack positions out of 300i,100n,500p,50000b,4000s Output written on 091.dvi (7 pages, 33360 bytes).