This is pdfTeX, Version 3.1415926-2.5-1.40.14 (TeX Live 2013) (format=pdflatex 2020.9.17) 11 DEC 2020 13:06 entering extended mode restricted \write18 enabled. %&-line parsing enabled. **solution_mid02_na20f.tex (./solution_mid02_na20f.tex LaTeX2e <2011/06/27> Babel and hyphenation patterns for english, dumylang, nohyphenation, ru ssian, ukrainian, bulgarian, loaded. (/usr/share/texlive/texmf-dist/tex/latex/base/article.cls Document Class: article 2007/10/19 v1.4h Standard LaTeX document class (/usr/share/texlive/texmf-dist/tex/latex/base/size12.clo File: size12.clo 2007/10/19 v1.4h 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=\dimen102 ) (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amsfonts.sty Package: amsfonts 2013/01/14 v3.01 Basic AMSFonts support \@emptytoks=\toks14 \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/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/amsmath/amstext.sty Package: amstext 2000/06/29 v2.01 (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsgen.sty File: amsgen.sty 1999/11/30 v2.0 \@emptytoks=\toks15 \ex@=\dimen103 )) (./solution_mid02_na20f.aux) \openout1 = `solution_mid02_na20f.aux'. LaTeX Font Info: Checking defaults for OML/cmm/m/it on input line 16. LaTeX Font Info: ... okay on input line 16. LaTeX Font Info: Checking defaults for T1/cmr/m/n on input line 16. LaTeX Font Info: ... okay on input line 16. LaTeX Font Info: Checking defaults for OT1/cmr/m/n on input line 16. LaTeX Font Info: ... okay on input line 16. LaTeX Font Info: Checking defaults for OMS/cmsy/m/n on input line 16. LaTeX Font Info: ... okay on input line 16. LaTeX Font Info: Checking defaults for OMX/cmex/m/n on input line 16. LaTeX Font Info: ... okay on input line 16. LaTeX Font Info: Checking defaults for U/cmr/m/n on input line 16. LaTeX Font Info: ... okay on input line 16. LaTeX Font Info: Try loading font information for U+msa on input line 43. (/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 43. (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/umsb.fd File: umsb.fd 2013/01/14 v3.01 AMS symbols B ) Overfull \hbox (47.25056pt too wide) in paragraph at lines 107--117 []\OT1/cmr/m/n/12 (12 pts) Let $\OML/cmm/m/it/12 x[] \OT1/cmr/m/n/12 = 0\OML/cm m/m/it/12 :\OT1/cmr/m/n/12 01 \OMS/cmsy/m/n/12 ^^C \OML/cmm/m/it/12 i$\OT1/cmr/ m/n/12 . Use all or part of the data $(\OML/cmm/m/it/12 x[]; []\OT1/cmr/m/n/12 (\OML/cmm/m/it/12 x[]\OT1/cmr/m/n/12 ))\OML/cmm/m/it/12 ; \OT1/cmr/m/n/12 (\OML /cmm/m/it/12 x[]; []\OT1/cmr/m/n/12 (\OML/cmm/m/it/12 x[]\OT1/cmr/m/n/12 ))\OML /cmm/m/it/12 ; [] ; \OT1/cmr/m/n/12 (\OML/cmm/m/it/12 x[]; []\OT1/cmr/m/n/12 (\ OML/cmm/m/it/12 x[]\OT1/cmr/m/n/12 ))$ [] Overfull \hbox (1.35289pt too wide) in paragraph at lines 107--117 \OT1/cmr/m/n/12 and in-verse cu-bic spline in-ter-po-la-tion method to find an ap-prox-i-mate value of $[][](0\OML/cmm/m/it/12 :\OT1/cmr/m/n/12 3)$. [] [1 {/usr/share/texlive/texmf/fonts/map/pdftex/updmap/pdftex.map}] [2] [3] [4] [5] (./solution_mid02_na20f.aux) ) Here is how much of TeX's memory you used: 570 strings out of 494820 6448 string characters out of 3178049 55814 words of memory out of 3000000 3808 multiletter control sequences out of 15000+200000 9511 words of font info for 36 fonts, out of 3000000 for 9000 198 hyphenation exceptions out of 8191 22i,5n,24p,216b,176s stack positions out of 5000i,500n,10000p,200000b,50000s Output written on solution_mid02_na20f.pdf (5 pages, 119581 bytes). PDF statistics: 56 PDF objects out of 1000 (max. 8388607) 39 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)