This is e-TeX, Version 3.141592-2.1 (MiKTeX 2.4) (preloaded format=latex 2004.4.19) 19 APR 2004 12:40 entering extended mode **entropy1Bob4-18-2004.tex (entropy1Bob4-18-2004.tex LaTeX2e <2003/12/01> Babel and hyphenation patterns for english, french, german, ngerman, du mylang, nohyphenation, loaded. (C:\texmf\tex\latex\base\article.cls Document Class: article 2004/02/16 v1.4f Standard LaTeX document class (C:\texmf\tex\latex\base\size12.clo File: size12.clo 2004/02/16 v1.4f 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 ) (C:\texmf\tex\latex\amsmath\amsmath.sty Package: amsmath 2000/07/18 v2.13 AMS math features \@mathmargin=\skip43 For additional information on amsmath, use the `?' option. (C:\texmf\tex\latex\amsmath\amstext.sty Package: amstext 2000/06/29 v2.01 (C:\texmf\tex\latex\amsmath\amsgen.sty File: amsgen.sty 1999/11/30 v2.0 \@emptytoks=\toks14 \ex@=\dimen103 )) (C:\texmf\tex\latex\amsmath\amsbsy.sty Package: amsbsy 1999/11/29 v1.2d \pmbraise@=\dimen104 ) (C:\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=\toks15 \row@=\count96 \column@=\count97 \maxfields@=\count98 \andhelp@=\toks16 \eqnshift@=\dimen106 \alignsep@=\dimen107 \tagshift@=\dimen108 \tagwidth@=\dimen109 \totwidth@=\dimen110 \lineht@=\dimen111 \@envbody=\toks17 \multlinegap=\skip44 \multlinetaggap=\skip45 \mathdisplay@stack=\toks18 LaTeX Info: Redefining \[ on input line 2666. LaTeX Info: Redefining \] on input line 2667. ) (C:\texmf\tex\latex\base\latexsym.sty Package: latexsym 1998/08/17 v2.2e Standard LaTeX package (lasy symbols) \symlasy=\mathgroup4 LaTeX Font Info: Overwriting symbol font `lasy' in version `bold' (Font) U/lasy/m/n --> U/lasy/b/n on input line 47. ) (C:\texmf\tex\latex\amsfonts\amssymb.sty Package: amssymb 2002/01/22 v2.2d (C:\texmf\tex\latex\amsfonts\amsfonts.sty Package: amsfonts 2001/10/25 v2.2f \symAMSa=\mathgroup5 \symAMSb=\mathgroup6 LaTeX Font Info: Overwriting math alphabet `\mathfrak' in version `bold' (Font) U/euf/m/n --> U/euf/b/n on input line 132. )) (C:\texmf\tex\latex\graphics\epsfig.sty Package: epsfig 1999/02/16 v1.7a (e)psfig emulation (SPQR) (C:\texmf\tex\latex\graphics\graphicx.sty Package: graphicx 1999/02/16 v1.0f Enhanced LaTeX Graphics (DPC,SPQR) (C:\texmf\tex\latex\graphics\keyval.sty Package: keyval 1999/03/16 v1.13 key=value parser (DPC) \KV@toks@=\toks19 ) (C:\texmf\tex\latex\graphics\graphics.sty Package: graphics 2001/07/07 v1.0n Standard LaTeX Graphics (DPC,SPQR) (C:\texmf\tex\latex\graphics\trig.sty Package: trig 1999/03/16 v1.09 sin cos tan (DPC) ) (C:\texmf\tex\latex\00miktex\graphics.cfg File: graphics.cfg 2003/03/12 v1.1 MiKTeX 'graphics' configuration ) Package graphics Info: Driver file: dvips.def on input line 80. (C:\texmf\tex\latex\graphics\dvips.def File: dvips.def 1999/02/16 v3.0i Driver-dependant file (DPC,SPQR) )) \Gin@req@height=\dimen112 \Gin@req@width=\dimen113 ) \epsfxsize=\dimen114 \epsfysize=\dimen115 ) (entropy1Bob4-18-2004.aux) LaTeX Font Info: Checking defaults for OML/cmm/m/it on input line 12. LaTeX Font Info: ... okay on input line 12. LaTeX Font Info: Checking defaults for T1/cmr/m/n on input line 12. LaTeX Font Info: ... okay on input line 12. LaTeX Font Info: Checking defaults for OT1/cmr/m/n on input line 12. LaTeX Font Info: ... okay on input line 12. LaTeX Font Info: Checking defaults for OMS/cmsy/m/n on input line 12. LaTeX Font Info: ... okay on input line 12. LaTeX Font Info: Checking defaults for OMX/cmex/m/n on input line 12. LaTeX Font Info: ... okay on input line 12. LaTeX Font Info: Checking defaults for U/cmr/m/n on input line 12. LaTeX Font Info: ... okay on input line 12. LaTeX Font Info: Try loading font information for U+lasy on input line 24. (C:\texmf\tex\latex\base\ulasy.fd File: ulasy.fd 1998/08/17 v2.2e LaTeX symbol font definitions ) LaTeX Font Info: Try loading font information for U+msa on input line 24. (C:\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 24. (C:\texmf\tex\latex\amsfonts\umsb.fd File: umsb.fd 2002/01/19 v2.2g AMS font definitions ) [1 ] [2] [3] LaTeX Font Info: Font shape `U/lasy/b/n' in size <8> not available (Font) Font shape `U/lasy/m/n' tried instead on input line 147. LaTeX Font Info: Font shape `U/lasy/b/n' in size <6> not available (Font) Font shape `U/lasy/m/n' tried instead on input line 147. [4] [5] Overfull \hbox (3.97768pt too wide) in alignment at lines 287--298 [][][] [] [] [6] Overfull \hbox (16.10414pt too wide) in paragraph at lines 329--336 \OT1/cmr/m/n/12 we find that $[][]\OML/cmm/m/it/12 ; [][]$ \OT1/cmr/m/n/12 are in-de-pen-dent ran-dom vari-ables, $\OML/cmm/m/it/12 p[]\OT1/cmr/m/n/12 ([][]\O ML/cmm/m/it/12 ; [][]\OT1/cmr/m/n/12 ) = \OML/cmm/m/it/12 p[]\OT1/cmr/m/n/12 ([ ][])\OML/cmm/m/it/12 p[]\OT1/cmr/m/n/12 ([][])$. [] [7] Overfull \hbox (0.36436pt too wide) in paragraph at lines 414--420 []\OT1/cmr/m/n/12 Taking the limit $ \OMS/cmsy/m/n/12 ! \U/msb/m/n/12 R[]$ \OT1/cmr/bx/n/12 [[COM-MENT: in-tro-duc- tory ad-ver-bial clauses [] [8] [9] Overfull \hbox (19.74594pt too wide) in alignment at lines 500--508 [][][] [] [] [10] Overfull \hbox (10.39777pt too wide) in paragraph at lines 532--532 []\OT1/cmr/bx/n/17.28 Probabilistic In-ter-pre-ta-tion of the Kirk-wood [] File: configurations.eps Graphic file (type eps) Overfull \hbox (3.91663pt too wide) in paragraph at lines 575--579 [][][] [] Underfull \hbox (badness 10000) in paragraph at lines 575--579 [] [11] [12] Underfull \hbox (badness 10000) in paragraph at lines 611--614 [] Overfull \hbox (8.85603pt too wide) detected at line 639 \OML/cmm/m/it/12 p[]\OT1/cmr/m/n/12 ([][]\OMS/cmsy/m/n/12 j[][]\OML/cmm/m/it/12 ; [][]; [] ; [][]\OT1/cmr/m/n/12 ) = \OML/cmm/m/it/12 p[]\OT1/cmr/m/n/12 ([][] \OMS/cmsy/m/n/12 j[][]\OML/cmm/m/it/12 ; [][]; [] ; [][]\OT1/cmr/m/n/12 ) = []\ OML/cmm/m/it/12 : [] Underfull \hbox (badness 10000) in paragraph at lines 652--655 [] Overfull \hbox (51.06891pt too wide) in alignment at lines 658--665 [][][] [] [] [13] Package amsmath Warning: Foreign command \atopwithdelims; (amsmath) \frac or \genfrac should be used instead (amsmath) on input line 685. LaTeX Font Info: Try loading font information for OMS+cmr on input line 706. (C:\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 706. Overfull \hbox (44.09492pt too wide) detected at line 712 \OML/cmm/m/it/12 g[]\OT1/cmr/m/n/12 ([][]\OML/cmm/m/it/12 ; [][]; [][]; [][]\OT 1/cmr/m/n/12 ) = [] [] [14] Overfull \hbox (17.7663pt too wide) detected at line 735 \OML/cmm/m/it/12 H \OT1/cmr/m/n/12 = \OMS/cmsy/m/n/12 [][] \OML/cmm/m/it/12 p []\OT1/cmr/m/n/12 ([][]\OML/cmm/m/it/12 ; [][]; [] ; [][]\OT1/cmr/m/n/12 ) [] \ OML/cmm/m/it/12 p[]\OT1/cmr/m/n/12 ([][]\OML/cmm/m/it/12 ; [][]; [] ; [][]\OT1/ cmr/m/n/12 ) \OML/cmm/m/it/12 d[][] d[][] [] d[][]; [] [15] Overfull \hbox (20.08131pt too wide) detected at line 804 \OML/cmm/m/it/12 []\OT1/cmr/m/n/12 ([][]\OML/cmm/m/it/12 ; [][]; [] ; [][]\OT1 /cmr/m/n/12 ) = []\OML/cmm/m/it/12 : [] Overfull \hbox (5.63437pt too wide) in paragraph at lines 804--809 []\OT1/cmr/m/n/12 Dividing equa-tion (43[]) by $[][] [][] \OML/cmm/m/it/12 p[]\ OT1/cmr/m/n/12 ([][]\OML/cmm/m/it/12 ; [][]; [] ; [][]\OT1/cmr/m/n/12 )[]$ [] Overfull \hbox (84.14087pt too wide) in alignment at lines 818--826 [][][] [] [] [16] Overfull \hbox (0.65877pt too wide) detected at line 835 \OML/cmm/m/it/12 p[]\OT1/cmr/m/n/12 ([][]\OML/cmm/m/it/12 ; [][]; [] ; [][]; [] []\OT1/cmr/m/n/12 ) = \OML/cmm/m/it/12 p[]\OT1/cmr/m/n/12 ([][])\OML/cmm/m/it/1 2 p[]\OT1/cmr/m/n/12 ([][]\OML/cmm/m/it/12 ; [][]; [] ; [][]\OT1/cmr/m/n/12 ) [ ] \OML/cmm/m/it/12 ; [] Overfull \hbox (38.49196pt too wide) in alignment at lines 838--856 [][][] [] [] [17] Overfull \hbox (54.31897pt too wide) in alignment at lines 901--906 [][][] [] [] [18] Overfull \hbox (7.40698pt too wide) in paragraph at lines 949--957 []\OT1/cmr/m/n/12 Systems in bounded do-mains are par-tic-u-larly im-por-tant, be-cause only bounded [] [19] Overfull \hbox (47.31099pt too wide) in alignment at lines 1016--1023 [][][] [] [] [20] [21] [22] [23] Missing character: There is no – in font cmr12! [24] (entropy1Bob4-18-2004.aux) ) Here is how much of TeX's memory you used: 1665 strings out of 95898 17598 string characters out of 1195288 70123 words of memory out of 1067244 4618 multiletter control sequences out of 35000 17923 words of font info for 72 fonts, out of 500000 for 1000 14 hyphenation exceptions out of 607 32i,13n,24p,703b,406s stack positions out of 1500i,500n,5000p,200000b,32768s Output written on entropy1Bob4-18-2004.dvi (24 pages, 93252 bytes).