This is pdfTeX, Version 3.14159265-2.6-1.40.19 (TeX Live 2018) (preloaded format=pdflatex 2018.4.16) 5 OCT 2025 08:31 entering extended mode restricted \write18 enabled. file:line:error style messages enabled. %&-line parsing enabled. **MATH3001_xm2_facts.tex (./MATH3001_xm2_facts.tex LaTeX2e <2018-04-01> patch level 2 Babel <3.18> and hyphenation patterns for 84 language(s) loaded. (/usr/local/texlive/2018/texmf-dist/tex/latex/base/article.cls Document Class: article 2014/09/29 v1.4h Standard LaTeX document class (/usr/local/texlive/2018/texmf-dist/tex/latex/base/size11.clo File: size11.clo 2014/09/29 v1.4h Standard LaTeX file (size option) ) \c@part=\count80 \c@section=\count81 \c@subsection=\count82 \c@subsubsection=\count83 \c@paragraph=\count84 \c@subparagraph=\count85 \c@figure=\count86 \c@table=\count87 \abovecaptionskip=\skip41 \belowcaptionskip=\skip42 \bibindent=\dimen102 ) (/usr/local/texlive/2018/texmf-dist/tex/latex/fancyhdr/fancyhdr.sty Package: fancyhdr 2017/06/30 v3.9a Extensive control of page headers and footer s \f@nch@headwidth=\skip43 \f@nch@O@elh=\skip44 \f@nch@O@erh=\skip45 \f@nch@O@olh=\skip46 \f@nch@O@orh=\skip47 \f@nch@O@elf=\skip48 \f@nch@O@erf=\skip49 \f@nch@O@olf=\skip50 \f@nch@O@orf=\skip51 ) (/usr/local/texlive/2018/texmf-dist/tex/latex/geometry/geometry.sty Package: geometry 2018/03/24 v5.7 Page Geometry (/usr/local/texlive/2018/texmf-dist/tex/latex/graphics/keyval.sty Package: keyval 2014/10/28 v1.15 key=value parser (DPC) \KV@toks@=\toks14 ) (/usr/local/texlive/2018/texmf-dist/tex/generic/oberdiek/ifpdf.sty Package: ifpdf 2017/03/15 v3.2 Provides the ifpdf switch ) (/usr/local/texlive/2018/texmf-dist/tex/generic/oberdiek/ifvtex.sty Package: ifvtex 2016/05/16 v1.6 Detect VTeX and its facilities (HO) Package ifvtex Info: VTeX not detected. ) (/usr/local/texlive/2018/texmf-dist/tex/generic/ifxetex/ifxetex.sty Package: ifxetex 2010/09/12 v0.6 Provides ifxetex conditional ) \Gm@cnth=\count88 \Gm@cntv=\count89 \c@Gm@tempcnt=\count90 \Gm@bindingoffset=\dimen103 \Gm@wd@mp=\dimen104 \Gm@odd@mp=\dimen105 \Gm@even@mp=\dimen106 \Gm@layoutwidth=\dimen107 \Gm@layoutheight=\dimen108 \Gm@layouthoffset=\dimen109 \Gm@layoutvoffset=\dimen110 \Gm@dimlist=\toks15 ) (/usr/local/texlive/2018/texmf-dist/tex/latex/amsmath/amsmath.sty Package: amsmath 2017/09/02 v2.17a AMS math features \@mathmargin=\skip52 For additional information on amsmath, use the `?' option. (/usr/local/texlive/2018/texmf-dist/tex/latex/amsmath/amstext.sty Package: amstext 2000/06/29 v2.01 AMS text (/usr/local/texlive/2018/texmf-dist/tex/latex/amsmath/amsgen.sty File: amsgen.sty 1999/11/30 v2.0 generic functions \@emptytoks=\toks16 \ex@=\dimen111 )) (/usr/local/texlive/2018/texmf-dist/tex/latex/amsmath/amsbsy.sty Package: amsbsy 1999/11/29 v1.2d Bold Symbols \pmbraise@=\dimen112 ) (/usr/local/texlive/2018/texmf-dist/tex/latex/amsmath/amsopn.sty Package: amsopn 2016/03/08 v2.02 operator names ) \inf@bad=\count91 LaTeX Info: Redefining \frac on input line 213. \uproot@=\count92 \leftroot@=\count93 LaTeX Info: Redefining \overline on input line 375. \classnum@=\count94 \DOTSCASE@=\count95 LaTeX Info: Redefining \ldots on input line 472. LaTeX Info: Redefining \dots on input line 475. LaTeX Info: Redefining \cdots on input line 596. \Mathstrutbox@=\box26 \strutbox@=\box27 \big@size=\dimen113 LaTeX Font Info: Redeclaring font encoding OML on input line 712. LaTeX Font Info: Redeclaring font encoding OMS on input line 713. \macc@depth=\count96 \c@MaxMatrixCols=\count97 \dotsspace@=\muskip10 \c@parentequation=\count98 \dspbrk@lvl=\count99 \tag@help=\toks17 \row@=\count100 \column@=\count101 \maxfields@=\count102 \andhelp@=\toks18 \eqnshift@=\dimen114 \alignsep@=\dimen115 \tagshift@=\dimen116 \tagwidth@=\dimen117 \totwidth@=\dimen118 \lineht@=\dimen119 \@envbody=\toks19 \multlinegap=\skip53 \multlinetaggap=\skip54 \mathdisplay@stack=\toks20 LaTeX Info: Redefining \[ on input line 2817. LaTeX Info: Redefining \] on input line 2818. ) (/usr/local/texlive/2018/texmf-dist/tex/latex/enumitem/enumitem.sty Package: enumitem 2011/09/28 v3.5.2 Customized lists \labelindent=\skip55 \enit@outerparindent=\dimen120 \enit@toks=\toks21 \enit@inbox=\box28 \enitdp@description=\count103 ) (/usr/local/texlive/2018/texmf-dist/tex/latex/amsfonts/amssymb.sty Package: amssymb 2013/01/14 v3.01 AMS font symbols (/usr/local/texlive/2018/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/local/texlive/2018/texmf-dist/tex/latex/base/latexsym.sty Package: latexsym 1998/08/17 v2.2e Standard LaTeX package (lasy symbols) \symlasy=\mathgroup6 LaTeX Font Info: Overwriting symbol font `lasy' in version `bold' (Font) U/lasy/m/n --> U/lasy/b/n on input line 52. ) No file MATH3001_xm2_facts.aux. \openout1 = `MATH3001_xm2_facts.aux'. LaTeX Font Info: Checking defaults for OML/cmm/m/it on input line 29. LaTeX Font Info: ... okay on input line 29. LaTeX Font Info: Checking defaults for T1/cmr/m/n on input line 29. LaTeX Font Info: ... okay on input line 29. LaTeX Font Info: Checking defaults for OT1/cmr/m/n on input line 29. LaTeX Font Info: ... okay on input line 29. LaTeX Font Info: Checking defaults for OMS/cmsy/m/n on input line 29. LaTeX Font Info: ... okay on input line 29. LaTeX Font Info: Checking defaults for OMX/cmex/m/n on input line 29. LaTeX Font Info: ... okay on input line 29. LaTeX Font Info: Checking defaults for U/cmr/m/n on input line 29. LaTeX Font Info: ... okay on input line 29. *geometry* driver: auto-detecting *geometry* detected driver: pdftex *geometry* verbose mode - [ preamble ] result: * driver: pdftex * paper: letterpaper * layout: * layoutoffset:(h,v)=(0.0pt,0.0pt) * modes: includehead * h-part:(L,W,R)=(57.81621pt, 498.66258pt, 57.81621pt) * v-part:(T,H,B)=(57.81621pt, 679.33757pt, 57.81621pt) * \paperwidth=614.295pt * \paperheight=794.96999pt * \textwidth=498.66258pt * \textheight=642.33757pt * \oddsidemargin=-14.45378pt * \evensidemargin=-14.45378pt * \topmargin=-14.45378pt * \headheight=12.0pt * \headsep=10.0pt * \topskip=11.0pt * \footskip=30.0pt * \marginparwidth=59.0pt * \marginparsep=10.0pt * \columnsep=10.0pt * \skip\footins=10.0pt plus 4.0pt minus 2.0pt * \hoffset=0.0pt * \voffset=0.0pt * \mag=1000 * \@twocolumnfalse * \@twosidefalse * \@mparswitchfalse * \@reversemarginfalse * (1in=72.27pt=25.4mm, 1cm=28.453pt) LaTeX Font Info: Try loading font information for U+msa on input line 35. (/usr/local/texlive/2018/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 35. (/usr/local/texlive/2018/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+lasy on input line 35. (/usr/local/texlive/2018/texmf-dist/tex/latex/base/ulasy.fd File: ulasy.fd 1998/08/17 v2.2e LaTeX symbol 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 45. 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 45. Package Fancyhdr Warning: \headheight is too small (12.0pt): Make it at least 13.59999pt. We now make it that large for the rest of the document. This may cause the page layout to be inconsistent, however. [1{/usr/local/texlive/2018/texmf-var/fonts/map/pdftex/updmap/pdftex.map} ] LaTeX Font Warning: Command \boldmath invalid in math mode on input line 94. LaTeX Font Warning: Command \mathversion invalid in math mode on input line 94. [2] [3] [4] (./MATH3001_xm2_facts.aux) ) Here is how much of TeX's memory you used: 2104 strings out of 492649 27567 string characters out of 6129622 101807 words of memory out of 5000000 5987 multiletter control sequences out of 15000+600000 11482 words of font info for 45 fonts, out of 8000000 for 9000 1141 hyphenation exceptions out of 8191 27i,10n,43p,412b,369s stack positions out of 5000i,500n,10000p,200000b,80000s Output written on MATH3001_xm2_facts.pdf (4 pages, 132286 bytes). PDF statistics: 65 PDF objects out of 1000 (max. 8388607) 46 compressed objects within 1 object stream 0 named destinations out of 1000 (max. 500000) 1 words of extra memory for PDF output out of 10000 (max. 10000000)