PTITeX 3.4, (c) Personal TeX, Inc. 1985-1998 This is TeX 3.14159 (preloaded format=LATEX 0.11.30) 26 FEB 2001 15:52 **&LATEX C:/FPhandbook/ultrapowers-etc-2.TEX (C:\FPhandbook\ultrapowers-etc-2.TEX LaTeX2e <1998/12/01> Babel and hyphenation patterns for american, loaded. (C:\PCTeXv4\AMSLTX12\amsart.cls Document Class: amsart 1995/02/23 v1.2b \linespacing=\dimen102 \normalparindent=\dimen103 \normaltopskip=\skip41 (C:\PCTeXv4\AMSLTX12\amsgen.sty File: amsgen.sty 1995/02/01 v1.2a \@emptytoks=\toks14 \ex@=\dimen104 ) (C:\PCTeXv4\AMSLTX12\amsmath.sty Package: amsmath 1995/02/23 v1.2b AMS math features \@mathmargin=\skip42 (C:\PCTeXv4\AMSLTX12\amstext.sty Package: amstext 1995/01/25 v1.2 ) (C:\PCTeXv4\AMSLTX12\amsbsy.sty Package: amsbsy 1995/01/20 v1.2 \pmbraise@=\dimen105 ) (C:\PCTeXv4\AMSLTX12\amsopn.sty Package: amsopn 1995/02/20 v1.2a operator names ) LaTeX Info: Redefining \frac on input line 180. \uproot@=\count79 \leftroot@=\count80 \classnum@=\count81 \DOTSCASE@=\count82 LaTeX Info: Redefining \dots on input line 327. LaTeX Info: Redefining \ldots on input line 410. LaTeX Info: Redefining \cdots on input line 414. \Mathstrutbox@=\box26 \strutbox@=\box27 \big@size=\dimen106 LaTeX Font Info: Redeclaring font encoding OML on input line 492. LaTeX Font Info: Redeclaring font encoding OMS on input line 493. \skewcharcount@=\count83 \familycount@=\count84 \pointcount@=\count85 \accentdimen@=\dimen107 \accentmu@=\count86 \minaw@=\dimen108 \c@MaxMatrixCols=\count87 \dotsspace@=\muskip10 \c@parentequation=\count88 \dspbrk@lvl=\count89 \tag@help=\toks15 \row@=\count90 \column@=\count91 \maxfields@=\count92 \andhelp@=\toks16 \eqnshift@=\dimen109 \alignsep@=\dimen110 \tagshift@=\dimen111 \tagwidth@=\dimen112 \totwidth@=\dimen113 \lineht@=\dimen114 \@envbody=\toks17 \multlinegap=\skip43 \multlinetaggap=\skip44 ) (C:\PCTeXv4\AMSLTX12\amsfonts.sty Package: amsfonts 1995/02/01 v2.2b \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 128. ) \copyins=\insert233 \abstractbox=\box28 \listisep=\skip45 \c@part=\count93 \c@section=\count94 \c@subsection=\count95 \c@subsubsection=\count96 \c@paragraph=\count97 \c@figure=\count98 \c@table=\count99 \abovecaptionskip=\skip46 \belowcaptionskip=\skip47 (C:\PCTeXv4\AMSLTX12\amsthm.sty Package: amsthm 1995/02/01 v1.2a \theorem@style=\toks18 \theorembodyfont=\toks19 \theoremheadfont=\toks20 \theoremnotefont=\toks21 \theoremheadpunct=\toks22 \theorempreskipamount=\skip48 \theorempostskipamount=\skip49 )) (C:\PCTeXv4\AMSLTX12\amssymb.sty Package: amssymb 1995/02/01 v2.2a ) (C:\PCTeXv4\LATEX2E\newlfont.sty Package: newlfont 1998/08/17 v2.2m Standard LaTeX package LaTeX Info: Redefining \em on input line 49. (C:\PCTeXv4\LATEX2E\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 29. )) (C:\PCTeXv4\LATEX2E\graphicx.sty Package: graphicx 1997/06/09 v1.0d Enhanced LaTeX Graphics (DPC,SPQR) (C:\PCTeXv4\LATEX2E\keyval.sty Package: keyval 1998/06/05 v1.11 key=value parser (DPC) \KV@toks@=\toks23 ) (C:\PCTeXv4\LATEX2E\graphics.sty Package: graphics 1998/05/27 v1.0h Standard LaTeX Graphics (DPC,SPQR) (C:\PCTeXv4\LATEX2E\trig.sty Package: trig 1994/10/16 v1.08 sin cos tan (DPC) ) (C:\PCTeXv4\LATEX2E\graphics.cfg) Package graphics Info: Driver file: dvips.def on input line 85. (C:\PCTeXv4\LATEX2E\dvips.def File: dvips.def 1998/05/03 v3.0f Driver-dependant file (DPC,SPQR) )) \Gin@req@height=\dimen115 \Gin@req@width=\dimen116 ) \c@theorem=\count100 \@indexfile=\write3 Writing index file ultrapowers-etc-2.idx LaTeX Warning: Unused global option(s): [showkey]. No file ultrapowers-etc-2.aux. LaTeX Font Info: Checking defaults for OML/cmm/m/it on input line 58. LaTeX Font Info: ... okay on input line 58. LaTeX Font Info: Checking defaults for T1/cmr/m/n on input line 58. LaTeX Font Info: ... okay on input line 58. LaTeX Font Info: Checking defaults for OT1/cmr/m/n on input line 58. LaTeX Font Info: ... okay on input line 58. LaTeX Font Info: Checking defaults for OMS/cmsy/m/n on input line 58. LaTeX Font Info: ... okay on input line 58. LaTeX Font Info: Checking defaults for OMX/cmex/m/n on input line 58. LaTeX Font Info: ... okay on input line 58. LaTeX Font Info: Checking defaults for U/cmr/m/n on input line 58. LaTeX Font Info: ... okay on input line 58. LaTeX Font Info: Try loading font information for U+msa on input line 58. (C:\PCTeXv4\AMSLTX12\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 58. (C:\PCTeXv4\AMSLTX12\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 58. (C:\PCTeXv4\LATEX2E\ulasy.fd File: ulasy.fd 1998/08/17 v2.2eLaTeX symbol font definitions ) No file ultrapowers-etc-2.toc. \tf@toc=\write4 [1] [2] [3] [4] [5] [6] [7] [8] [9] [10] [11] [12] [13] [14] (C:/FPhandbook/ultrapowers-etc-2.aux) LaTeX Warning: Label(s) may have changed. Rerun to get cross-references right. ) Here is how much of TeX's memory you used: 1797 strings out of 1873 18409 string characters out of 28518 93885 words of memory out of 81920 4488 multiletter control sequences out of 10000 10635 words of font info for 44 fonts, out of 20000 for 255 176 hyphenation exceptions out of 607 34i,7n,31p,834b,331s stack positions out of 200i,40n,60p,5000b,600s Output written on C:\FPhandbook\ultrapowers-etc-2.dvi (14 pages, 68996 bytes).