This is pdfTeX, Version 3.141592653-2.6-1.40.25 (TeX Live 2023) (preloaded format=pdflatex 2023.11.8) 19 NOV 2023 18:50 entering extended mode restricted \write18 enabled. file:line:error style messages enabled. %&-line parsing enabled. **hw12.tex (./hw12.tex LaTeX2e <2022-11-01> patch level 1 L3 programming layer <2023-02-22> (/usr/share/texlive/texmf-dist/tex/latex/base/article.cls Document Class: article 2022/07/02 v1.4n Standard LaTeX document class (/usr/share/texlive/texmf-dist/tex/latex/base/size12.clo File: size12.clo 2022/07/02 v1.4n Standard LaTeX file (size option) ) \c@part=\count185 \c@section=\count186 \c@subsection=\count187 \c@subsubsection=\count188 \c@paragraph=\count189 \c@subparagraph=\count190 \c@figure=\count191 \c@table=\count192 \abovecaptionskip=\skip48 \belowcaptionskip=\skip49 \bibindent=\dimen140 ) (/usr/share/texlive/texmf-dist/tex/latex/amscls/amsthm.sty Package: amsthm 2020/05/29 v2.20.6 \thm@style=\toks16 \thm@bodyfont=\toks17 \thm@headfont=\toks18 \thm@notefont=\toks19 \thm@headpunct=\toks20 \thm@preskip=\skip50 \thm@postskip=\skip51 \thm@headsep=\skip52 \dth@everypar=\toks21 ) (/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/amsfonts/amsfonts.sty Package: amsfonts 2013/01/14 v3.01 Basic AMSFonts support \@emptytoks=\toks22 \symAMSa=\mathgroup4 \symAMSb=\mathgroup5 LaTeX Font Info: Redeclaring math symbol \hbar on input line 98. 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duplicates ignored pdfTeX warning: pdflatex (file /var/lib/texmf/fonts/map/pdftex/updmap/pdftex.map): fontmap entry for `pncri8g' already exists, duplicates ignored pdfTeX warning: pdflatex (file /var/lib/texmf/fonts/map/pdftex/updmap/pdftex.map): fontmap entry for `pplb8g' already exists, duplicates ignored pdfTeX warning: pdflatex (file /var/lib/texmf/fonts/map/pdftex/updmap/pdftex.map): fontmap entry for `pplbi8g' already exists, duplicates ignored pdfTeX warning: pdflatex (file /var/lib/texmf/fonts/map/pdftex/updmap/pdftex.map): fontmap entry for `pplr8g' already exists, duplicates ignored pdfTeX warning: pdflatex (file /var/lib/texmf/fonts/map/pdftex/updmap/pdftex.map): fontmap entry for `pplri8g' already exists, duplicates ignored pdfTeX warning: pdflatex (file /var/lib/texmf/fonts/map/pdftex/updmap/pdftex.map): fontmap entry for `psyr' already exists, duplicates ignored pdfTeX warning: pdflatex (file /var/lib/texmf/fonts/map/pdftex/updmap/pdftex.map): fontmap entry for `psyrgo' already exists, duplicates ignored pdfTeX warning: pdflatex (file /var/lib/texmf/fonts/map/pdftex/updmap/pdftex.map): fontmap entry for `ptmb8g' already exists, duplicates ignored pdfTeX warning: pdflatex (file /var/lib/texmf/fonts/map/pdftex/updmap/pdftex.map): fontmap entry for `ptmbi8g' already exists, duplicates ignored pdfTeX warning: pdflatex (file /var/lib/texmf/fonts/map/pdftex/updmap/pdftex.map): fontmap entry for `ptmr8g' already exists, duplicates ignored pdfTeX warning: pdflatex (file /var/lib/texmf/fonts/map/pdftex/updmap/pdftex.map): fontmap entry for `ptmri8g' already exists, duplicates ignored pdfTeX warning: pdflatex (file /var/lib/texmf/fonts/map/pdftex/updmap/pdftex.map): fontmap entry for `pzcmi8g' already exists, duplicates ignored pdfTeX warning: pdflatex (file /var/lib/texmf/fonts/map/pdftex/updmap/pdftex.map): fontmap entry for `pzdr' already exists, duplicates ignored pdfTeX warning: pdflatex (file /var/lib/texmf/fonts/map/pdftex/updmap/pdftex.map): fontmap entry for `rtxphvb' already exists, duplicates ignored pdfTeX warning: pdflatex (file /var/lib/texmf/fonts/map/pdftex/updmap/pdftex.map): fontmap entry for `rtxphvbo' already exists, duplicates ignored pdfTeX warning: pdflatex (file /var/lib/texmf/fonts/map/pdftex/updmap/pdftex.map): fontmap entry for `rtxphvr' already exists, duplicates ignored pdfTeX warning: pdflatex (file /var/lib/texmf/fonts/map/pdftex/updmap/pdftex.map): fontmap entry for `rtxphvro' already exists, duplicates ignored pdfTeX warning: pdflatex (file /var/lib/texmf/fonts/map/pdftex/updmap/pdftex.map): fontmap entry for `rtxptmb' already exists, duplicates ignored pdfTeX warning: pdflatex (file /var/lib/texmf/fonts/map/pdftex/updmap/pdftex.map): fontmap entry for `rtxptmbi' already exists, duplicates ignored pdfTeX warning: pdflatex (file /var/lib/texmf/fonts/map/pdftex/updmap/pdftex.map): fontmap entry for `rtxptmbo' already exists, duplicates ignored pdfTeX warning: pdflatex (file /var/lib/texmf/fonts/map/pdftex/updmap/pdftex.map): fontmap entry for `rtxptmr' already exists, duplicates ignored pdfTeX warning: pdflatex (file /var/lib/texmf/fonts/map/pdftex/updmap/pdftex.map): fontmap entry for `rtxptmri' already exists, duplicates ignored pdfTeX warning: pdflatex (file /var/lib/texmf/fonts/map/pdftex/updmap/pdftex.map): fontmap entry for `rtxptmro' already exists, duplicates ignored }{/usr/share/texlive/texmf-dist/fonts/enc/dvips/lm/lm-rep-cmrm.enc}] (./hw12.aux) ) Here is how much of TeX's memory you used: 1134 strings out of 476041 17102 string characters out of 5793174 1854388 words of memory out of 6000000 21632 multiletter control sequences out of 15000+600000 517546 words of font info for 52 fonts, out of 8000000 for 9000 1137 hyphenation exceptions out of 8191 41i,7n,51p,374b,222s stack positions out of 10000i,1000n,20000p,200000b,200000s Output written on hw12.pdf (1 page, 84448 bytes). PDF statistics: 34 PDF objects out of 1000 (max. 8388607) 20 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)