This is pdfTeXk, Version 3.141592-1.40.3 (Web2C 7.5.6) (format=pdflatex 2009.12.2) 11 NOV 2010 15:17 entering extended mode \write18 enabled. %&-line parsing enabled. **ex_1025 (./ex_1025.tex LaTeX2e <2005/12/01> Babel and hyphenation patterns for english, usenglishmax, dumylang, noh yphenation, arabic, basque, bulgarian, coptic, welsh, czech, slovak, german, ng erman, danish, esperanto, spanish, catalan, galician, estonian, farsi, finnish, french, greek, monogreek, ancientgreek, croatian, hungarian, interlingua, ibyc us, indonesian, icelandic, italian, latin, mongolian, dutch, norsk, polish, por tuguese, pinyin, romanian, russian, slovenian, uppersorbian, serbian, swedish, turkish, ukenglish, ukrainian, loaded. (/usr/share/texmf/tex/latex/base/article.cls Document Class: article 2005/09/16 v1.4f Standard LaTeX document class (/usr/share/texmf/tex/latex/base/fleqn.clo File: fleqn.clo 1998/08/17 v1.1c Standard LaTeX option (flush left equations) \mathindent=\dimen102 ) (/usr/share/texmf/tex/latex/base/size11.clo File: size11.clo 2005/09/16 v1.4f Standard LaTeX file (size option) ) \c@part=\count79 \c@section=\count80 \c@subsection=\count81 \c@subsubsection=\count82 \c@paragraph=\count83 \c@subparagraph=\count84 \c@figure=\count85 \c@table=\count86 \abovecaptionskip=\skip41 \belowcaptionskip=\skip42 \bibindent=\dimen103 ) (/usr/share/texmf/tex/latex/base/latexsym.sty Package: latexsym 1998/08/17 v2.2e Standard LaTeX package (lasy symbols) \symlasy=\mathgroup4 LaTeX Font Info: Overwriting symbol font `lasy' in version `bold' (Font) U/lasy/m/n --> U/lasy/b/n on input line 47. ) (/usr/share/texmf/tex/latex/amsmath/amsmath.sty Package: amsmath 2000/07/18 v2.13 AMS math features \@mathmargin=\skip43 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=\count87 LaTeX Info: Redefining \frac on input line 211. \uproot@=\count88 \leftroot@=\count89 LaTeX Info: Redefining \overline on input line 307. \classnum@=\count90 \DOTSCASE@=\count91 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. 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LaTeX Info: Redefining \] on input line 2667. ) (/usr/share/texmf/tex/latex/amsfonts/amssymb.sty Package: amssymb 2002/01/22 v2.2d (/usr/share/texmf/tex/latex/amsfonts/amsfonts.sty Package: amsfonts 2001/10/25 v2.2f \symAMSa=\mathgroup5 \symAMSb=\mathgroup6 LaTeX Font Info: Overwriting math alphabet `\mathfrak' in version `bold' (Font) U/euf/m/n --> U/euf/b/n on input line 132. )) (/usr/share/texmf/tex/latex/tools/bm.sty Package: bm 2004/02/26 v1.1c Bold Symbol Support (DPC/FMi) \symboldoperators=\mathgroup7 \symboldletters=\mathgroup8 \symboldsymbols=\mathgroup9 \symboldlasy=\mathgroup10 LaTeX Font Info: Redeclaring math alphabet \mathbf on input line 137. LaTeX Info: Redefining \bm on input line 203. ) (./ex_1025.aux) \openout1 = `ex_1025.aux'. LaTeX Font Info: Checking defaults for OML/cmm/m/it on input line 80. LaTeX Font Info: ... okay on input line 80. LaTeX Font Info: Checking defaults for T1/cmr/m/n on input line 80. LaTeX Font Info: ... okay on input line 80. LaTeX Font Info: Checking defaults for OT1/cmr/m/n on input line 80. LaTeX Font Info: ... okay on input line 80. LaTeX Font Info: Checking defaults for OMS/cmsy/m/n on input line 80. LaTeX Font Info: ... okay on input line 80. LaTeX Font Info: Checking defaults for OMX/cmex/m/n on input line 80. LaTeX Font Info: ... okay on input line 80. LaTeX Font Info: Checking defaults for U/cmr/m/n on input line 80. LaTeX Font Info: ... okay on input line 80. LaTeX Font Info: Try loading font information for U+lasy on input line 99. (/usr/share/texmf/tex/latex/base/ulasy.fd File: ulasy.fd 1998/08/17 v2.2e LaTeX symbol font definitions ) LaTeX Font Info: Try loading font information for U+msa on input line 99. (/usr/share/texmf/tex/latex/amsfonts/umsa.fd File: umsa.fd 2002/01/19 v2.2g AMS font definitions ) LaTeX Font Info: Try loading font information for U+msb on input line 99. (/usr/share/texmf/tex/latex/amsfonts/umsb.fd File: umsb.fd 2002/01/19 v2.2g AMS font definitions ) LaTeX Font Info: Font shape `U/lasy/b/n' in size <8> not available (Font) Font shape `U/lasy/m/n' tried instead on input line 99. LaTeX Font Info: Font shape `U/lasy/b/n' in size <6> not available (Font) Font shape `U/lasy/m/n' tried instead on input line 99. Overfull \hbox (12.65376pt too wide) in paragraph at lines 152--153 []\OT1/cmtt/m/n/10.95 DC: At this point it is useful to define the matrices $\O ML/cmm/m/it/10.95 X[]$ \OT1/cmtt/m/n/10.95 and $\OML/cmm/m/it/10.95 Y[]$ \OT1/c mtt/m/n/10.95 and $\OML/cmm/m/it/10.95 P[]$\OT1/cmtt/m/n/10.95 . Then it [] Overfull \hbox (13.32248pt too wide) in paragraph at lines 152--153 \OT1/cmtt/m/n/10.95 is very easy to express $\OML/cmm/m/it/10.95 A$ \OT1/cmtt/m /n/10.95 using thses matrices. By inspection the result should be: [] Overfull \hbox (0.83667pt too wide) in paragraph at lines 159--160 []\OT1/cmtt/m/n/10.95 DC: The $\OML/cmm/m/it/10.95 X$ \OT1/cmtt/m/n/10.95 and $ \OML/cmm/m/it/10.95 Y$ \OT1/cmtt/m/n/10.95 matrices are easily expressed uisnin g the projectors. Results in [] [1 {/var/lib/texmf/fonts/map/pdftex/updmap/pdftex.map}] [2] (./ex_1025.aux) ) Here is how much of TeX's memory you used: 1251 strings out of 256216 13623 string characters out of 1917072 64107 words of memory out of 1500000 4549 multiletter control sequences out of 10000+200000 12303 words of font info for 48 fonts, out of 1200000 for 2000 645 hyphenation exceptions out of 8191 27i,8n,24p,219b,126s stack positions out of 5000i,500n,6000p,200000b,15000s Output written on ex_1025.pdf (2 pages, 63090 bytes). PDF statistics: 53 PDF objects out of 1000 (max. 8388607) 0 named destinations out of 1000 (max. 131072) 1 words of extra memory for PDF output out of 10000 (max. 10000000)