This is pdfTeX, Version 3.14159265-2.6-1.40.18 (TeX Live 2017/Debian) (preloaded format=pdflatex 2018.10.18) 23 MAR 2019 10:21 entering extended mode restricted \write18 enabled. %&-line parsing enabled. **lecturenotes (./lecturenotes.tex LaTeX2e <2017-04-15> Babel <3.18> and hyphenation patterns for 84 language(s) loaded. (/usr/share/texlive/texmf-dist/tex/latex/amscls/amsart.cls Document Class: amsart 2017/10/31 v2.20.4 \linespacing=\dimen102 \normalparindent=\dimen103 \normaltopskip=\skip41 (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsmath.sty Package: amsmath 2017/09/02 v2.17a AMS math features \@mathmargin=\skip42 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 AMS text (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsgen.sty File: amsgen.sty 1999/11/30 v2.0 generic functions \@emptytoks=\toks14 \ex@=\dimen104 )) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsbsy.sty Package: amsbsy 1999/11/29 v1.2d Bold Symbols \pmbraise@=\dimen105 ) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsopn.sty Package: amsopn 2016/03/08 v2.02 operator names ) \inf@bad=\count79 LaTeX Info: Redefining \frac on input line 213. \uproot@=\count80 \leftroot@=\count81 LaTeX Info: Redefining \overline on input line 375. \classnum@=\count82 \DOTSCASE@=\count83 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=\dimen106 LaTeX Font Info: Redeclaring font encoding OML on input line 712. LaTeX Font Info: Redeclaring font encoding OMS on input line 713. \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 \[ on input line 2817. LaTeX Info: Redefining \] on input line 2818. ) LaTeX Font Info: Try loading font information for U+msa on input line 398. (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/umsa.fd File: umsa.fd 2013/01/14 v3.01 AMS symbols A ) (/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. ) \copyins=\insert199 \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/texlive/texmf-dist/tex/latex/amsmath/amscd.sty Package: amscd 2017/04/14 v2.1 AMS Commutative Diagrams \athelp@=\toks25 \minaw@=\dimen114 \bigaw@=\dimen115 \minCDarrowwidth=\dimen116 ) (/usr/share/texlive/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. ) (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amssymb.sty Package: amssymb 2013/01/14 v3.01 AMS font symbols ) \c@thm=\count99 (./lecturenotes.aux) \openout1 = `lecturenotes.aux'. LaTeX Font Info: Checking defaults for OML/cmm/m/it on input line 248. LaTeX Font Info: ... okay on input line 248. LaTeX Font Info: Checking defaults for T1/cmr/m/n on input line 248. LaTeX Font Info: ... okay on input line 248. LaTeX Font Info: Checking defaults for OT1/cmr/m/n on input line 248. LaTeX Font Info: ... okay on input line 248. LaTeX Font Info: Checking defaults for OMS/cmsy/m/n on input line 248. LaTeX Font Info: ... okay on input line 248. LaTeX Font Info: Checking defaults for OMX/cmex/m/n on input line 248. LaTeX Font Info: ... okay on input line 248. LaTeX Font Info: Checking defaults for U/cmr/m/n on input line 248. LaTeX Font Info: ... okay on input line 248. LaTeX Font Info: Try loading font information for U+msa on input line 248. (/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 248. (/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+lasy on input line 248. (/usr/share/texlive/texmf-dist/tex/latex/base/ulasy.fd File: ulasy.fd 1998/08/17 v2.2e LaTeX symbol font definitions ) [1{/var/lib/texmf/fonts/map/pdftex/updmap/pdftex.map}] [2] [3] [4] [5] [6] [7 ] [8] [9] LaTeX Font Info: Try loading font information for U+euf on input line 1013. (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/ueuf.fd File: ueuf.fd 2013/01/14 v3.01 Euler Fraktur ) [10] [11] [12] [13] [14] [15] [16] [17] [18] [19] [20] [21] [22] [23] [24] [25] [26] [27] [28] [29] [30] [31] [32] Underfull \vbox (badness 3601) has occurred while \output is active [] [33] [34] [35] [36] Overfull \hbox (4.48615pt too wide) in paragraph at lines 3011--3025 \OT1/cmr/bx/n/12 Step 3. \OT1/cmr/m/n/12 Find $\OMS/cmsy/m/n/12 G\OML/cmm/m/it/ 12 =\OT1/cmr/m/n/12 2\OMS/cmsy/m/n/12 G$\OT1/cmr/m/n/12 . This is gen-er-ated b y $\OMS/cmsy/m/n/12 G\OML/cmm/m/it/12 =[]\OT1/cmr/m/n/12 (\OMS/cmsy/m/n/12 H\OT 1/cmr/m/n/12 ) = \OMS/cmsy/m/n/12 f[]\OML/cmm/m/it/12 ; \OT1/cmr/m/n/12 (0\OML/ cmm/m/it/12 ; \OT1/cmr/m/n/12 0)\OML/cmm/m/it/12 ; \OT1/cmr/m/n/12 (2\OML/cmm/m /it/12 ; \OT1/cmr/m/n/12 4)\OML/cmm/m/it/12 ; \OT1/cmr/m/n/12 (3\OML/cmm/m/it/1 2 ; \OMS/cmsy/m/n/12 ^^@\OT1/cmr/m/n/12 6)\OMS/cmsy/m/n/12 g \OT1/cmr/m/n/12 = \OMS/cmsy/m/n/12 h\OT1/cmr/m/n/12 (0\OML/cmm/m/it/12 ; \OT1/cmr/m/n/12 0)\OML/c mm/m/it/12 ; \OT1/cmr/m/n/12 (2\OML/cmm/m/it/12 ; \OT1/cmr/m/n/12 4)\OMS/cmsy/m /n/12 i$\OT1/cmr/m/n/12 , [] [37] [38] [39] [40] [41] [42] [43] [44] [45] [46] [47] (./lecturenotes.aux) ) Here is how much of TeX's memory you used: 1956 strings out of 492982 20776 string characters out of 6134895 85442 words of memory out of 5000000 5376 multiletter control sequences out of 15000+600000 12825 words of font info for 51 fonts, out of 8000000 for 9000 1302 hyphenation exceptions out of 8191 34i,17n,32p,263b,257s stack positions out of 5000i,500n,10000p,200000b,80000s Output written on lecturenotes.pdf (47 pages, 420176 bytes). PDF statistics: 241 PDF objects out of 1000 (max. 8388607) 169 compressed objects within 2 object streams 0 named destinations out of 1000 (max. 500000) 1 words of extra memory for PDF output out of 10000 (max. 10000000)