This is pdfTeX, Version 3.14159-1.10b (Web2C 7.4.5) (format=pdflatex 2007.8.27) 7 OCT 2007 13:52 **HW2-2.tex (./HW2-2.tex{/usr/share/texmf/pdftex/config/pdftex.cfg} LaTeX2e <2001/06/01> Babel and hyphenation patterns for american, french, german, ngerman, n ohyphenation, loaded. (/usr/share/texmf/tex/latex/base/article.cls Document Class: article 2001/04/21 v1.4e Standard LaTeX document class (/usr/share/texmf/tex/latex/base/size10.clo File: size10.clo 2001/04/21 v1.4e 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/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@=\dimen103 )) (/usr/share/texmf/tex/latex/amsmath/amsbsy.sty Package: amsbsy 1999/11/29 v1.2d \pmbraise@=\dimen104 ) (/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=\dimen105 LaTeX Font Info: Redeclaring font encoding OML on input line 567. LaTeX Font Info: Redeclaring font encoding OMS on input line 568. \macc@depth=\count92 \c@MaxMatrixCols=\count93 \dotsspace@=\muskip10 \c@parentequation=\count94 \dspbrk@lvl=\count95 \tag@help=\toks15 \row@=\count96 \column@=\count97 \maxfields@=\count98 \andhelp@=\toks16 \eqnshift@=\dimen106 \alignsep@=\dimen107 \tagshift@=\dimen108 \tagwidth@=\dimen109 \totwidth@=\dimen110 \lineht@=\dimen111 \@envbody=\toks17 \multlinegap=\skip44 \multlinetaggap=\skip45 \mathdisplay@stack=\toks18 LaTeX Info: Redefining \[ on input line 2666. LaTeX Info: Redefining \] 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=\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 132. )) (./HW2-2.aux) \openout1 = `HW2-2.aux'. LaTeX Font Info: Checking defaults for OML/cmm/m/it on input line 9. LaTeX Font Info: ... okay on input line 9. LaTeX Font Info: Checking defaults for T1/cmr/m/n on input line 9. LaTeX Font Info: ... okay on input line 9. LaTeX Font Info: Checking defaults for OT1/cmr/m/n on input line 9. LaTeX Font Info: ... okay on input line 9. LaTeX Font Info: Checking defaults for OMS/cmsy/m/n on input line 9. LaTeX Font Info: ... okay on input line 9. LaTeX Font Info: Checking defaults for OMX/cmex/m/n on input line 9. LaTeX Font Info: ... okay on input line 9. LaTeX Font Info: Checking defaults for U/cmr/m/n on input line 9. LaTeX Font Info: ... okay on input line 9. LaTeX Font Info: Try loading font information for U+msa on input line 13. (/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 13. (/usr/share/texmf/tex/latex/amsfonts/umsb.fd File: umsb.fd 2002/01/19 v2.2g AMS font definitions ) [1 {/usr/share/texmf/dvips/config/pdftex.map}] [2] (./HW2-2.aux) ) Here is how much of TeX's memory you used: 1126 strings out of 95437 12038 string characters out of 1190233 61158 words of memory out of 1000001 4158 multiletter control sequences out of 10000+50000 10292 words of font info for 41 fonts, out of 500000 for 1000 14 hyphenation exceptions out of 1000 27i,10n,24p,221b,245s stack positions out of 1500i,500n,5000p,200000b,5000s 37 PDF objects out of 300000 0 named destinations out of 131072 0 words of extra memory for PDF output out of 65536 {/usr/share/texmf/dvips/tetex/bbad153f.enc}{/usr/share/texmf/dvips /tetex/aae443f0.enc}{/usr/share/texmf/dvips/tetex/f7b6d 320.enc} Output written on HW2-2.pdf (2 pages, 51098 bytes).