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This is TeX, Version 3.14159 (MiKTeX 2.1) (preloaded format=latex 2000.11.28) 27 MAR 2008 08:14 **Karpenko_MAA.tex (Karpenko_MAA.tex LaTeX2e <2001/06/01> Babel <v3.7h> and hyphenation patterns for english, russian, ukrainian, dumylan g, nohyphenation, loaded. (C:\Program Files\texmf\tex\latex\amscls\amsart.cls Document Class: amsart 2000/10/26 v2.08 \linespacing=\dimen102 \normalparindent=\dimen103 \normaltopskip=\skip41 (C:\Program Files\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. (C:\Program Files\texmf\tex\latex\amsmath\amstext.sty Package: amstext 2000/06/29 v2.01 (C:\Program Files\texmf\tex\latex\amsmath\amsgen.sty File: amsgen.sty 1999/11/30 v2.0 \@emptytoks=\toks14 \ex@=\dimen104 )) (C:\Program Files\texmf\tex\latex\amsmath\amsbsy.sty Package: amsbsy 1999/11/29 v1.2d \pmbraise@=\dimen105 ) (C:\Program Files\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 395. (C:\Program Files\texmf\tex\latex\amsfonts\umsa.fd File: umsa.fd 1995/01/05 v2.2e AMS font definitions ) (C:\Program Files\texmf\tex\latex\amsfonts\amsfonts.sty Package: amsfonts 1997/09/17 v2.2e \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. ) \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 ) (C:\Program Files\texmf\tex\latex\amsmath\amsxtra.sty Package: amsxtra 1999/11/15 v1.2c LaTeX Info: Redefining \nobreakspace on input line 77. ) (C:\Program Files\texmf\tex\latex\amsfonts\amssymb.sty Package: amssymb 1996/11/03 v2.2b ) (C:\Program Files\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. ) No file Karpenko_MAA.aux. LaTeX Font Info: Checking defaults for OML/cmm/m/it on input line 11. LaTeX Font Info: ... okay on input line 11. LaTeX Font Info: Checking defaults for T1/cmr/m/n on input line 11. LaTeX Font Info: ... okay on input line 11. LaTeX Font Info: Checking defaults for OT1/cmr/m/n on input line 11. LaTeX Font Info: ... okay on input line 11. LaTeX Font Info: Checking defaults for OMS/cmsy/m/n on input line 11. LaTeX Font Info: ... okay on input line 11. LaTeX Font Info: Checking defaults for OMX/cmex/m/n on input line 11. LaTeX Font Info: ... okay on input line 11. LaTeX Font Info: Checking defaults for U/cmr/m/n on input line 11. LaTeX Font Info: ... okay on input line 11. LaTeX Font Info: Try loading font information for U+msa on input line 11. (C:\Program Files\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 11. (C:\Program Files\texmf\tex\latex\amsfonts\umsb.fd File: umsb.fd 1995/01/05 v2.2e AMS font definitions ) LaTeX Font Info: Try loading font information for U+lasy on input line 11. (C:\Program Files\texmf\tex\latex\base\ulasy.fd File: ulasy.fd 1998/08/17 v2.2e LaTeX symbol font definitions ) LaTeX Warning: Citation `karpleo' on page 1 undefined on input line 43. LaTeX Warning: Citation `karpmal' on page 1 undefined on input line 47. LaTeX Warning: Citation `karpder' on page 1 undefined on input line 47. ! Undefined control sequence. l.66 $\mathbb{F}\supset\R $ is a nonreal field in $\mathbb{H}$ with a ?