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This is TeX, Version 3.14159 (Web2C 7.3.1) (format=latex 2003.10.8) 20 JUL 2004 14:26 **IMC04Problems.tex (IMC04Problems.tex LaTeX2e <2000/06/01> Babel <v3.7h> and hyphenation patterns for american, french, italian, russian, ukrainian, nohyphenation, loaded. (/usr/share/texmf/tex/latex/base/article.cls Document Class: article 2000/05/19 v1.4b Standard LaTeX document class (/usr/share/texmf/tex/latex/base/size12.clo File: size12.clo 2000/05/19 v1.4b 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/amsfonts/amssymb.sty Package: amssymb 1996/11/03 v2.2b (/usr/share/texmf/tex/latex/amsfonts/amsfonts.sty Package: amsfonts 1997/09/17 v2.2e \@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 133. )) (/usr/share/texmf/tex/latex/amscls/amsthm.sty Package: amsthm 2000/10/26 v2.08 \thm@style=\toks15 \thm@bodyfont=\toks16 \thm@headfont=\toks17 \thm@notefont=\toks18 \thm@headpunct=\toks19 \thm@preskip=\skip43 \thm@postskip=\skip44 \thm@headsep=\skip45 \dth@everypar=\toks20 ) (/usr/share/texmf/tex/latex/amsmath/amsmath.sty Package: amsmath 2000/07/18 v2.13 AMS math features \@mathmargin=\skip46 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=\toks21 \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=\toks22 \row@=\count96 \column@=\count97 \maxfields@=\count98 \andhelp@=\toks23 \eqnshift@=\dimen106 \alignsep@=\dimen107 \tagshift@=\dimen108 \tagwidth@=\dimen109 \totwidth@=\dimen110 \lineht@=\dimen111 \@envbody=\toks24 \multlinegap=\skip47 \multlinetaggap=\skip48 \mathdisplay@stack=\toks25 LaTeX Info: Redefining \[ on input line 2666. LaTeX Info: Redefining \] on input line 2667. ) (/usr/share/texmf/tex/generic/texdraw/texdraw.sty (/usr/share/texmf/tex/latex/graphics/graphics.sty Package: graphics 1999/02/16 v1.0l Standard LaTeX Graphics (DPC,SPQR) (/usr/share/texmf/tex/latex/graphics/trig.sty Package: trig 1999/03/16 v1.09 sin cos tan (DPC) ) (/usr/share/texmf/tex/latex/config/graphics.cfg) Package graphics Info: Driver file: dvips.def on input line 80. (/usr/share/texmf/tex/latex/graphics/dvips.def File: dvips.def 1999/02/16 v3.0i Driver-dependant file (DPC,SPQR) )) (/usr/share/texmf/tex/generic/texdraw/texdraw.tex \t@counta=\count99 \t@countb=\count100 \t@countc=\count101 \t@countd=\count102 \t@counte=\count103 \t@pixa=\count104 \t@pixb=\count105 \t@pixc=\count106 \t@pixd=\count107 \t@xpos=\dimen112 \t@ypos=\dimen113 \xminpix=\count108 \xmaxpix=\count109 \yminpix=\count110 \ymaxpix=\count111 \a@lenpix=\count112 \a@widpix=\count113 \x@pix=\count114 \y@pix=\count115 \x@segoffpix=\count116 \y@segoffpix=\count117 \x@savepix=\count118 \y@savepix=\count119 \s@ppix=\count120 \d@bs=\count121 \t@xdnum=\count122 \t@xdbox=\box28 \drawfile=\write3 \everytexdraw=\toks26 ) Package: texdraw 1995/12/19 TeXdraw V2R0 ) (/usr/share/texmf/tex/latex/graphics/graphicx.sty Package: graphicx 1999/02/16 v1.0f Enhanced LaTeX Graphics (DPC,SPQR) (/usr/share/texmf/tex/latex/graphics/keyval.sty Package: keyval 1999/03/16 v1.13 key=value parser (DPC) \KV@toks@=\toks27 ) \Gin@req@height=\dimen114 \Gin@req@width=\dimen115 ) (/usr/share/texmf/tex/generic/babel/babel.sty Package: babel 2001/03/01 v3.7h The Babel package (/usr/share/texmf/tex/generic/babel/english.ldf Language: english 2001/02/07 v3.3k English support from the babel system (/usr/share/texmf/tex/generic/babel/babel.def File: babel.def 2001/03/01 v3.7h Babel common definitions \babel@savecnt=\count123 \U@D=\dimen116 ) \l@canadian = a dialect from \language\l@english )) (/usr/share/texmf/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 42. ) (/usr/share/texmf/tex/generic/xypic/xypic.sty (/usr/share/texmf/tex/generic/xypic/xy.sty (/usr/share/texmf/tex/generic/xypic/xy.tex Bootstrap'ing: catcodes, docmode, (/usr/share/texmf/tex/generic/xypic/xyrecat.tex) (/usr/share/texmf/tex/generic/xypic/xyidioms.tex) Xy-pic version 3.7 <1999/02/16> Copyright (c) 1991-1998 by Kristoffer H. Rose <krisrose@ens-lyon.fr> Xy-pic is free software: see the User's Guide for details. Loading kernel: messages; fonts; allocations: state, \X@c=\dimen117 \Y@c=\dimen118 \U@c=\dimen119 \D@c=\dimen120 \L@c=\dimen121 \R@c=\dimen122 \Edge@c=\toks28 \X@p=\dimen123 \Y@p=\dimen124 \U@p=\dimen125 \D@p=\dimen126 \L@p=\dimen127 \R@p=\dimen128 \Edge@p=\toks29 \X@origin=\dimen129 \Y@origin=\dimen130 \X@xbase=\dimen131 \Y@xbase=\dimen132 \X@ybase=\dimen133 \Y@ybase=\dimen134 \X@min=\dimen135 \Y@min=\dimen136 \X@max=\dimen137 \Y@max=\dimen138 \lastobjectbox@=\box29 \zerodotbox@=\box30 \almostz@=\dimen139 direction, \d@X=\dimen140 \d@Y=\dimen141 \K@=\count124 \KK@=\count125 \Direction=\count126 \K@dXdY=\dimen142 \K@dYdX=\dimen143 \xyread@=\read1 \xywrite@=\write4 \csp@=\count127 \quotPTK@=\dimen144 utility macros; pictures: \xy, positions, \swaptoks@@=\toks30 \connectobjectbox@@=\box31 objects, \styletoks@=\toks31 decorations; kernel objects: directionals, circles, text; options; algorithms: directions, edges, connections; Xy-pic loaded) LaTeX Warning: You have requested package `xypic', but the package provides `xy'. Package: xy 1999/02/16 Xy-pic version 3.7 ) (/usr/share/texmf/tex/generic/xypic/xyv2.tex Xy-pic option: Version 2 Compatibility v.3.4 Xy-pic Warning: `\stop' redefined. (/usr/share/texmf/tex/generic/xypic/xyframe.tex Xy-pic option: Frame and Bracket extension v.3.7 loaded) (/usr/share/texmf/tex/generic/xypic/xymatrix.tex Xy-pic option: Matrix feature v.3.4 \Row=\count128 \Col=\count129 \queue@=\toks32 \queue@@=\toks33 \qcount@=\count130 \qcount@@=\count131 \matrixsize@=\count132 loaded) (/usr/share/texmf/tex/generic/xypic/xyarrow.tex Xy-pic option: Arrow and Path feature v.3.5 path, \ar, loaded) loaded)) (/usr/share/texmf/tex/generic/xypic/xy.tex not reloaded) (/usr/share/texmf/tex/generic/xypic/xyall.tex Xy-pic option: All features v.3.3 (/usr/share/texmf/tex/generic/xypic/xycurve.tex Xy-pic option: Curve and Spline extension v.3.7 curve, \crv@cnt@=\count133 \crvpts@=\toks34 \splinebox@=\box32 \splineval@=\dimen145 \splinedepth@=\dimen146 \splinetol@=\dimen147 \splinelength@=\dimen148 circles, \L@=\dimen149 loaded) (/usr/share/texmf/tex/generic/xypic/xycmtip.tex Xy-pic option: Computer Modern tip extension v.3.3 (/usr/share/texmf/tex/generic/xypic/xytips.tex Xy-pic option: More Tips extension v.3.3 loaded) loaded) (/usr/share/texmf/tex/generic/xypic/xyline.tex Xy-pic option: Line styles extension v.3.6 \xylinethick@=\dimen150 loaded) (/usr/share/texmf/tex/generic/xypic/xyrotate.tex Xy-pic option: Rotate and Scale extension v.3.3 loaded) (/usr/share/texmf/tex/generic/xypic/xycolor.tex Xy-pic option: Colour extension v.3.3 loaded) (/usr/share/texmf/tex/generic/xypic/xygraph.tex Xy-pic option: Graph feature v.3.7 loaded) loaded) (IMC04Problems.aux) \openout1 = `IMC04Problems.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 20. (/usr/share/texmf/tex/latex/amsfonts/umsa.fd File: umsa.fd 1995/01/05 v2.2e AMS font definitions ) LaTeX Font Info: Try loading font information for U+msb on input line 20. 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(/usr/share/texmf/tex/latex/base/ulasy.fd File: ulasy.fd 1998/08/17 v2.2eLaTeX symbol font definitions ) <xymatrix 7x5 656> [1 ] [2] [3] [4] [5] Underfull \hbox (badness 10000) in paragraph at lines 402--432 [] [6] Underfull \hbox (badness 10000) in paragraph at lines 485--512 [] [7] Underfull \hbox (badness 10000) in paragraph at lines 562--571 [] [8] [9] [10] [11] [12] [13] [14] [15] [16] [17] [18] [19] [20] [21] [22] [23] [24] Underfull \hbox (badness 10000) in paragraph at lines 1500--1512 [] Underfull \hbox (badness 10000) in paragraph at lines 1525--1529 [] [25] [26] [27] Overfull \hbox (2.65498pt too wide) in paragraph at lines 1735--1737 []$\OML/cmm/m/it/12 A$ \OT1/cmr/m/n/12 and $\OML/cmm/m/it/12 B$ \OT1/cmr/m/n/12 are ma-tri-ces in $\OML/cmm/m/it/12 M[]\OT1/cmr/m/n/12 (\U/msb/m/n/12 R\OT1/cm r/m/n/12 )$ such that $\OML/cmm/m/it/12 rank\OT1/cmr/m/n/12 (\OML/cmm/m/it/12 A \OT1/cmr/m/n/12 ) = \OML/cmm/m/it/12 rank\OT1/cmr/m/n/12 (\OML/cmm/m/it/12 B\OT 1/cmr/m/n/12 ) = \OML/cmm/m/it/12 rank\OT1/cmr/m/n/12 (\OML/cmm/m/it/12 A \OT1/ cmr/m/n/12 + [] [28] [29] [30] [31] Overfull \hbox (32.8038pt too wide) detected at line 1958 \OT1/cmr/m/n/12 (\OML/cmm/m/it/12 Tr\OT1/cmr/m/n/12 (\OML/cmm/m/it/12 DC \OT1/c mr/m/n/12 + \OML/cmm/m/it/12 CD\OT1/cmr/m/n/12 ))[] \OMS/cmsy/m/n/12 ^^T \OT1/c mr/m/n/12 4\OML/cmm/m/it/12 Tr\OT1/cmr/m/n/12 (\OML/cmm/m/it/12 D\OT1/cmr/m/n/1 2 )[] \OMS/cmsy/m/n/12 ^^A []\OT1/cmr/m/n/12 (\OML/cmm/m/it/12 c[]\OT1/cmr/m/n/ 12 )[] \OMS/cmsy/m/n/12 ^^T \OT1/cmr/m/n/12 4\OML/cmm/m/it/12 Tr\OT1/cmr/m/n/12 (\OML/cmm/m/it/12 D\OT1/cmr/m/n/12 )[] [] [](\OML/cmm/m/it/12 c[]\OT1/cmr/m/n/ 12 )[] = 4 \OMS/cmsy/m/n/12 ^^A \OML/cmm/m/it/12 Tr\OT1/cmr/m/n/12 (\OML/cmm/m/ it/12 D\OT1/cmr/m/n/12 )[] \OMS/cmsy/m/n/12 ^^A \OML/cmm/m/it/12 Tr\OT1/cmr/m/n /12 (\OML/cmm/m/it/12 C\OT1/cmr/m/n/12 )[]\OML/cmm/m/it/12 : [] [32] (IMC04Problems.aux) ) Here is how much of TeX's memory you used: 4435 strings out of 20861 48324 string characters out of 196795 164540 words of memory out of 350001 7332 multiletter control sequences out of 10000+15000 14815 words of font info for 63 fonts, out of 400000 for 1000 24 hyphenation exceptions out of 10000 28i,14n,24p,326b,610s stack positions out of 3000i,100n,1500p,50000b,4000s Output written on IMC04Problems.dvi (32 pages, 128076 bytes).
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