This is TeX, Version 3.141592 (MiKTeX 2.3) (preloaded format=latex 2000.11.28) 27 AUG 2007 23:00 **signed-sd-s.tex (signed-sd-s.tex LaTeX2e <2001/06/01> Babel and hyphenation patterns for english, french, german, ngerman, du mylang, nohyphenation, loaded. (C:\CTeX\texmf\tex\latex\base\article.cls Document Class: article 2001/04/21 v1.4e Standard LaTeX document class (C:\CTeX\texmf\tex\latex\base\size12.clo File: size12.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 ) (C:\CTeX\texmf\tex\latex\amsfonts\amssymb.sty Package: amssymb 2002/01/22 v2.2d (C:\CTeX\texmf\tex\latex\amsfonts\amsfonts.sty Package: amsfonts 2001/10/25 v2.2f \@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 132. )) (C:\CTeX\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. 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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=\toks16 \row@=\count96 \column@=\count97 \maxfields@=\count98 \andhelp@=\toks17 \eqnshift@=\dimen106 \alignsep@=\dimen107 \tagshift@=\dimen108 \tagwidth@=\dimen109 \totwidth@=\dimen110 \lineht@=\dimen111 \@envbody=\toks18 \multlinegap=\skip44 \multlinetaggap=\skip45 \mathdisplay@stack=\toks19 LaTeX Info: Redefining \[ on input line 2666. 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(C:\CTeX\texmf\tex\latex\graphics\dvips.def File: dvips.def 1999/02/16 v3.0i Driver-dependant file (DPC,SPQR) )) \Gin@req@height=\dimen112 \Gin@req@width=\dimen113 ) \epsfxsize=\dimen114 \epsfysize=\dimen115 ) \c@thm=\count99 \c@cor=\count100 \c@lem=\count101 \c@prop=\count102 \c@rem=\count103 \c@ex=\count104 \c@alg=\count105 (signed-sd-s.aux) LaTeX Font Info: Checking defaults for OML/cmm/m/it on input line 42. LaTeX Font Info: ... okay on input line 42. LaTeX Font Info: Checking defaults for T1/cmr/m/n on input line 42. LaTeX Font Info: ... okay on input line 42. LaTeX Font Info: Checking defaults for OT1/cmr/m/n on input line 42. LaTeX Font Info: ... okay on input line 42. LaTeX Font Info: Checking defaults for OMS/cmsy/m/n on input line 42. LaTeX Font Info: ... okay on input line 42. LaTeX Font Info: Checking defaults for OMX/cmex/m/n on input line 42. LaTeX Font Info: ... okay on input line 42. LaTeX Font Info: Checking defaults for U/cmr/m/n on input line 42. LaTeX Font Info: ... okay on input line 42. LaTeX Font Info: Try loading font information for U+msa on input line 44. (C:\CTeX\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 44. (C:\CTeX\texmf\tex\latex\amsfonts\umsb.fd File: umsb.fd 2002/01/19 v2.2g AMS font definitions ) [1 ] Package amsmath Warning: Foreign command \atopwithdelims; (amsmath) \frac or \genfrac should be used instead (amsmath) on input line 172. [2] [3] Overfull \hbox (15.65608pt too wide) in paragraph at lines 261--267 [][]\OT1/cmr/m/n/12 Now we can re-peat the above pro-ce-dure for the re-main-in g se-quence $\OML/cmm/m/it/12  \OT1/cmr/m/n/12 = \OML/cmm/m/it/12 [][] [] [ ]$\OT1/cmr/m/n/12 . [] [4] [5] Overfull \hbox (17.92285pt too wide) in paragraph at lines 425--429 \OT1/cmr/bx/n/12 Lemma 2.3. []\OT1/cmr/m/it/12 There is a one-to-one cor-re-spo n-dence be-tween rep-re-sen-ta-tions $\OML/cmm/m/it/12  \OT1/cmr/m/n/12 = \OML /cmm/m/it/12 [][] [] []$ [] [6] [7] (signed-sd-s.aux) ) Here is how much of TeX's memory you used: 1670 strings out of 96052 17085 string characters out of 1197040 69378 words of memory out of 1068460 4551 multiletter control sequences out of 35000 14316 words of font info for 55 fonts, out of 500000 for 1000 14 hyphenation exceptions out of 607 32i,9n,24p,226b,210s stack positions out of 1500i,500n,5000p,200000b,32768s Output written on signed-sd-s.dvi (7 pages, 33096 bytes).