This is TeX, Version 3.14159 (C version 6.1) (format=latex 96.11.25) 26 APR 1999 12:32 **010.tex (010.tex LaTeX2e <1996/06/01> Hyphenation patterns for english, francais, german, loaded. 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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=\toks16 \row@=\count90 \column@=\count91 \maxfields@=\count92 \andhelp@=\toks17 \eqnshift@=\dimen109 \alignsep@=\dimen110 \tagshift@=\dimen111 \tagwidth@=\dimen112 \totwidth@=\dimen113 \lineht@=\dimen114 \@envbody=\toks18 \multlinegap=\skip43 \multlinetaggap=\skip44 ) (/vol/tex/share/teTeX/texmf/tex/latex/amsfonts/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 (/vol/tex/share/teTeX/texmf/tex/latex/amslatex/amsthm.sty Package: amsthm 1995/02/01 v1.2a \theorem@style=\toks19 \theorembodyfont=\toks20 \theoremheadfont=\toks21 \theoremnotefont=\toks22 \theoremheadpunct=\toks23 \theorempreskipamount=\skip48 \theorempostskipamount=\skip49 )) (/vol/tex/share/teTeX/texmf/tex/latex/amslatex/amscd.sty Package: amscd 1995/02/01 v1.2a \athelp@=\toks24 \bigaw@=\dimen115 \minCDarrowwidth=\dimen116 ) \c@thm=\count100 \c@claim=\count101 (010.aux) LaTeX Font Info: Checking defaults for OML/cmm/m/it on input line 438. LaTeX Font Info: ... okay on input line 438. LaTeX Font Info: Checking defaults for T1/cmr/m/n on input line 438. LaTeX Font Info: ... okay on input line 438. LaTeX Font Info: Checking defaults for OT1/cmr/m/n on input line 438. LaTeX Font Info: ... okay on input line 438. LaTeX Font Info: Checking defaults for OMS/cmsy/m/n on input line 438. LaTeX Font Info: ... okay on input line 438. LaTeX Font Info: Checking defaults for OMX/cmex/m/n on input line 438. LaTeX Font Info: ... okay on input line 438. LaTeX Font Info: Checking defaults for U/cmr/m/n on input line 438. LaTeX Font Info: ... okay on input line 438. LaTeX Font Info: Try loading font information for U+msa on input line 438. (/vol/tex/share/teTeX/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 438. (/vol/tex/share/teTeX/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 OMS+cmr on input line 478. (/vol/tex/share/teTeX/texmf/tex/latex/base/OMScmr.fd File: OMScmr.fd 1996/05/19 v2.4h 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 478. [1] Overfull \vbox (1.14998pt too high) has occurred while \output is active [] [2] LaTeX Font Info: Try loading font information for U+euf on input line 617. (/vol/tex/share/teTeX/texmf/tex/latex/amsfonts/Ueuf.fd File: Ueuf.fd 1995/01/05 v2.2e AMS font definitions ) Overfull \vbox (1.14998pt too high) has occurred while \output is active [] [3] Overfull \hbox (10.52483pt too wide) in paragraph at lines 704--708 \OT1/cmr/m/n/12 where $\OML/cmm/m/it/12 ^^^[] \OT1/cmr/m/n/12 = \OML/cmm/m/it/1 2 ^^[\OT1/cmr/m/n/12 (\OML/cmm/m/it/12 ^^^\OT1/cmr/m/n/12 )[]$ for $\OML/cmm/m/ it/12 ^^[$ \OT1/cmr/m/n/12 the in-vo-lu-tion on $[](\OML/cmm/m/it/12 W\OT1/cmr/ m/n/12 )$ which is ad-joint to $\OML/cmm/m/it/12 s$\OT1/cmr/m/n/12 . (So $\OML/ cmm/m/it/12 s\OT1/cmr/m/n/12 (\OML/cmm/m/it/12 ^^^\OT1/cmr/m/n/12 (\OML/cmm/m/i t/12 w\OT1/cmr/m/n/12 )\OML/cmm/m/it/12 ; ^^^[]\OT1/cmr/m/n/12 (\OML/cmm/m/it/1 2 w[]\OT1/cmr/m/n/12 )) = [] Overfull \vbox (1.14998pt too high) has occurred while \output is active [] [4] Overfull \vbox (1.14998pt too high) has occurred while \output is active [] [5] Overfull \vbox (1.14998pt too high) has occurred while \output is active [] [6] Overfull \vbox (1.14998pt too high) has occurred while \output is active [] [7] Overfull \vbox (1.14998pt too high) has occurred while \output is active [] [8] Overfull \vbox (1.14998pt too high) has occurred while \output is active [] [9] Overfull \hbox (5.30017pt too wide) in paragraph at lines 1148--1157 []\OT1/cmr/m/n/12 Consider the vec-tor sub-space $\OML/cmm/m/it/12 D$ \OT1/cmr/ m/n/12 of $[][]$ con-sist-ing of el-e-ments $\OML/cmm/m/it/12 d$ \OT1/cmr/m/n/1 2 such that $\OML/cmm/m/it/12 dt\OT1/cmr/m/n/12 (\OML/cmm/m/it/12 v; v; v\OT1/c mr/m/n/12 ) = [] Overfull \vbox (1.14998pt too high) has occurred while \output is active [] [10] Overfull \vbox (1.14998pt too high) has occurred while \output is active [] [11] Overfull \vbox (1.14998pt too high) has occurred while \output is active [] [12] Overfull \vbox (1.14998pt too high) has occurred while \output is active [] [13] Overfull \vbox (1.14998pt too high) has occurred while \output is active [] [14] Overfull \vbox (1.14998pt too high) has occurred while \output is active [] [15] Overfull \vbox (1.14998pt too high) has occurred while \output is active [] [16] Overfull \vbox (1.14998pt too high) has occurred while \output is active [] [17] Overfull \vbox (1.14998pt too high) has occurred while \output is active [] [18] (010.aux) ) Here is how much of TeX's memory you used: 1556 strings out of 10905 14750 string characters out of 72104 66215 words of memory out of 262141 4244 multiletter control sequences out of 9500 18922 words of font info for 71 fonts, out of 150000 for 255 176 hyphenation exceptions out of 607 34i,18n,32p,254b,370s stack positions out of 300i,40n,60p,3000b,4000s Output written on 010.dvi (18 pages, 81508 bytes).