This is pdfeTeX, Version 3.141592-1.21a-2.2 (Web2C 7.5.4) (format=latex 2011.2.27) 10 MAY 2011 21:22 entering extended mode **cubicK3May2011 (./cubicK3May2011.tex LaTeX2e <2003/12/01> Babel and hyphenation patterns for american, french, german, ngerman, b ahasa, basque, bulgarian, catalan, croatian, czech, danish, dutch, esperanto, e stonian, finnish, greek, icelandic, irish, italian, latin, magyar, norsk, polis h, portuges, romanian, russian, serbian, slovak, slovene, spanish, swedish, tur kish, ukrainian, nohyphenation, loaded. (/usr/share/texmf/tex/latex/amscls/amsart.cls Document Class: amsart 2004/08/06 v2.20 \linespacing=\dimen102 \normalparindent=\dimen103 \normaltopskip=\skip41 (/usr/share/texmf/tex/latex/amsmath/amsmath.sty Package: amsmath 2000/07/18 v2.13 AMS math features \@mathmargin=\skip42 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@=\dimen104 )) (/usr/share/texmf/tex/latex/amsmath/amsbsy.sty Package: amsbsy 1999/11/29 v1.2d \pmbraise@=\dimen105 ) (/usr/share/texmf/tex/latex/amsmath/amsopn.sty Package: amsopn 1999/12/14 v2.01 operator names ) \inf@bad=\count79 LaTeX Info: Redefining \frac on input line 211. \uproot@=\count80 \leftroot@=\count81 LaTeX Info: Redefining \overline on input line 307. \classnum@=\count82 \DOTSCASE@=\count83 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=\dimen106 LaTeX Font Info: Redeclaring font encoding OML on input line 567. LaTeX Font Info: Redeclaring font encoding OMS on input line 568. \macc@depth=\count84 \c@MaxMatrixCols=\count85 \dotsspace@=\muskip10 \c@parentequation=\count86 \dspbrk@lvl=\count87 \tag@help=\toks15 \row@=\count88 \column@=\count89 \maxfields@=\count90 \andhelp@=\toks16 \eqnshift@=\dimen107 \alignsep@=\dimen108 \tagshift@=\dimen109 \tagwidth@=\dimen110 \totwidth@=\dimen111 \lineht@=\dimen112 \@envbody=\toks17 \multlinegap=\skip43 \multlinetaggap=\skip44 \mathdisplay@stack=\toks18 LaTeX Info: Redefining \[ on input line 2666. LaTeX Info: Redefining \] on input line 2667. ) LaTeX Font Info: Try loading font information for U+msa on input line 407. (/usr/share/texmf/tex/latex/amsfonts/umsa.fd File: umsa.fd 2002/01/19 v2.2g AMS font definitions ) (/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. ) \copyins=\insert233 \abstractbox=\box28 \listisep=\skip45 \c@part=\count91 \c@section=\count92 \c@subsection=\count93 \c@subsubsection=\count94 \c@paragraph=\count95 \c@subparagraph=\count96 \c@figure=\count97 \c@table=\count98 \abovecaptionskip=\skip46 \belowcaptionskip=\skip47 \captionindent=\dimen113 \thm@style=\toks19 \thm@bodyfont=\toks20 \thm@headfont=\toks21 \thm@notefont=\toks22 \thm@headpunct=\toks23 \thm@preskip=\skip48 \thm@postskip=\skip49 \thm@headsep=\skip50 \dth@everypar=\toks24 ) (/usr/share/texmf/tex/latex/html/url.sty Package: url 1999/03/02 ver 1.4 Verb mode for urls, email addresses, and file names ) (/usr/share/texmf/tex/latex/graphics/epsfig.sty Package: epsfig 1999/02/16 v1.7a (e)psfig emulation (SPQR) (/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@=\toks25 ) (/usr/share/texmf/tex/latex/graphics/graphics.sty Package: graphics 2001/07/07 v1.0n 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/graphics/graphics.cfg File: graphics.cfg 2005/02/03 v1.3 graphics configuration of teTeX/TeXLive ) 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) )) \Gin@req@height=\dimen114 \Gin@req@width=\dimen115 ) \epsfxsize=\dimen116 \epsfysize=\dimen117 ) (/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 Xy-pic is free software: see the User's Guide for details. Loading kernel: messages; fonts; allocations: state, \X@c=\dimen118 \Y@c=\dimen119 \U@c=\dimen120 \D@c=\dimen121 \L@c=\dimen122 \R@c=\dimen123 \Edge@c=\toks26 \X@p=\dimen124 \Y@p=\dimen125 \U@p=\dimen126 \D@p=\dimen127 \L@p=\dimen128 \R@p=\dimen129 \Edge@p=\toks27 \X@origin=\dimen130 \Y@origin=\dimen131 \X@xbase=\dimen132 \Y@xbase=\dimen133 \X@ybase=\dimen134 \Y@ybase=\dimen135 \X@min=\dimen136 \Y@min=\dimen137 \X@max=\dimen138 \Y@max=\dimen139 \lastobjectbox@=\box29 \zerodotbox@=\box30 \almostz@=\dimen140 direction, \d@X=\dimen141 \d@Y=\dimen142 \K@=\count99 \KK@=\count100 \Direction=\count101 \K@dXdY=\dimen143 \K@dYdX=\dimen144 \xyread@=\read1 \xywrite@=\write3 \csp@=\count102 \quotPTK@=\dimen145 utility macros; pictures: \xy, positions, \swaptoks@@=\toks28 \connectobjectbox@@=\box31 objects, \styletoks@=\toks29 decorations; kernel objects: directionals, circles, text; options; algorithms: directions, edges, connections; Xy-pic loaded) Package: xy 1999/02/16 Xy-pic version 3.7 (/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@=\count103 \crvpts@=\toks30 \splinebox@=\box32 \splineval@=\dimen146 \splinedepth@=\dimen147 \splinetol@=\dimen148 \splinelength@=\dimen149 circles, \L@=\dimen150 loaded) (/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/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@=\dimen151 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/xymatrix.tex Xy-pic option: Matrix feature v.3.4 \Row=\count104 \Col=\count105 \queue@=\toks31 \queue@@=\toks32 \qcount@=\count106 \qcount@@=\count107 \matrixsize@=\count108 loaded) (/usr/share/texmf/tex/generic/xypic/xyarrow.tex Xy-pic option: Arrow and Path feature v.3.5 path, \ar, loaded) (/usr/share/texmf/tex/generic/xypic/xygraph.tex Xy-pic option: Graph feature v.3.7 loaded) loaded)) (/usr/share/texmf/tex/latex/jknappen/mathrsfs.sty Package: mathrsfs 1996/01/01 Math RSFS package v1.0 (jk) \symrsfs=\mathgroup6 ) \c@theorem=\count109 (./cubicK3May2011.aux) \openout1 = `cubicK3May2011.aux'. LaTeX Font Info: Checking defaults for OML/cmm/m/it on input line 216. LaTeX Font Info: ... okay on input line 216. LaTeX Font Info: Checking defaults for T1/cmr/m/n on input line 216. LaTeX Font Info: ... okay on input line 216. LaTeX Font Info: Checking defaults for OT1/cmr/m/n on input line 216. LaTeX Font Info: ... okay on input line 216. LaTeX Font Info: Checking defaults for OMS/cmsy/m/n on input line 216. LaTeX Font Info: ... okay on input line 216. LaTeX Font Info: Checking defaults for OMX/cmex/m/n on input line 216. LaTeX Font Info: ... okay on input line 216. LaTeX Font Info: Checking defaults for U/cmr/m/n on input line 216. LaTeX Font Info: ... okay on input line 216. LaTeX Font Info: Try loading font information for U+msa on input line 216. (/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 216. (/usr/share/texmf/tex/latex/amsfonts/umsb.fd File: umsb.fd 2002/01/19 v2.2g AMS font definitions ) LaTeX Font Info: Try loading font information for U+rsfs on input line 216. (/usr/share/texmf/tex/latex/jknappen/ursfs.fd File: ursfs.fd 1998/03/24 rsfs font definition file (jk) ) [1] LaTeX Font Info: Try loading font information for U+euf on input line 291. (/usr/share/texmf/tex/latex/amsfonts/ueuf.fd File: ueuf.fd 2002/01/19 v2.2g AMS font definitions ) LaTeX Font Info: Try loading font information for OMS+cmr on input line 293. (/usr/share/texmf/tex/latex/base/omscmr.fd File: omscmr.fd 1999/05/25 v2.5h Standard LaTeX font definitions ) LaTeX Font Info: Font shape `OMS/cmr/m/n' in size <12> not available (Font) Font shape `OMS/cmsy/m/n' tried instead on input line 293. [2] Underfull \hbox (badness 10000) in paragraph at lines 327--332 [] [3] [4] [5] [6] [7] [8] File: modification1.eps Graphic file (type eps) [9] File: modification2.eps Graphic file (type eps) [10] [11] [12] [13] [14] [15] [16] [17] [18] Overfull \hbox (15.6353pt too wide) in paragraph at lines 1337--1339 \OT1/cmr/m/n/12 7.2.\OT1/cmr/bx/n/12 The quater-nion al-ge-bra.[] \OT1/cmr/m/n /12 Let $\OML/cmm/m/it/12 r [] [] \OMS/cmsy/m/n/12 W ! \U/msb/m/n/12 P[]$ \OT1/ cmr/m/n/12 de-note the rel-a-tive va-ri-ety of lines, parametriz- [] [19] File: K3image.eps Graphic file (type eps) LaTeX Warning: `h' float specifier changed to `ht'. [20] Overfull \hbox (2.76717pt too wide) in paragraph at lines 1411--1412 []\OT1/cmr/m/n/12 It would be in-ter-est-ing to fig-ure out if $[] = \OML/cmm/m /it/12 X\OT1/cmr/m/n/12 (\U/msb/m/n/12 Q\OT1/cmr/m/n/12 )[]$ (see the in-tro-du c-tion of [[]]). [] [21] Underfull \hbox (badness 10000) in paragraph at lines 1418--1419 [] Underfull \hbox (badness 10000) in paragraph at lines 1438--1439 [] [22] (./cubicK3May2011.bbl [23]) Underfull \vbox (badness 10000) has occurred while \output is active [] [24] [25] (./cubicK3May2011.aux) ) Here is how much of TeX's memory you used: 4364 strings out of 94501 49445 string characters out of 1176789 142459 words of memory out of 1000000 7295 multiletter control sequences out of 10000+50000 17634 words of font info for 73 fonts, out of 500000 for 2000 741 hyphenation exceptions out of 1000 34i,16n,32p,1108b,454s stack positions out of 1500i,500n,5000p,200000b,5000s Output written on cubicK3May2011.dvi (25 pages, 117468 bytes).