One Hat Cyber Team

View File Name : article.log

This is pdfTeX, Version 3.141592-1.40.4 (MiKTeX 2.7) (preloaded format=latex 2008.4.18)  23 APR 2008 15:37
entering extended mode
**article.tex
(article.tex
LaTeX2e <2005/12/01>
Babel <v3.8h> and hyphenation patterns for english, dumylang, nohyphenation, ge
rman, ngerman, french, loaded.
(birkmult.cls
Document Class: birkmult 2004/01/01 v1.0
\linespacing=\dimen102
\normalparindent=\dimen103
\normaltopskip=\skip41
("C:\Program Files\MiKTeX 2.7\tex\latex\amsmath\amsgen.sty"
File: amsgen.sty 1999/11/30 v2.0
\@emptytoks=\toks14
\ex@=\dimen104
)
("C:\Program Files\MiKTeX 2.7\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\MiKTeX 2.7\tex\latex\amsmath\amstext.sty"
Package: amstext 2000/06/29 v2.01
)
("C:\Program Files\MiKTeX 2.7\tex\latex\amsmath\amsbsy.sty"
Package: amsbsy 1999/11/29 v1.2d
\pmbraise@=\dimen105
)
("C:\Program Files\MiKTeX 2.7\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.
)
("C:\Program Files\MiKTeX 2.7\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.
)
("C:\Program Files\MiKTeX 2.7\tex\latex\graphics\graphicx.sty"
Package: graphicx 1999/02/16 v1.0f Enhanced LaTeX Graphics (DPC,SPQR)

("C:\Program Files\MiKTeX 2.7\tex\latex\graphics\keyval.sty"
Package: keyval 1999/03/16 v1.13 key=value parser (DPC)
\KV@toks@=\toks19
)
("C:\Program Files\MiKTeX 2.7\tex\latex\graphics\graphics.sty"
Package: graphics 2006/02/20 v1.0o Standard LaTeX Graphics (DPC,SPQR)

("C:\Program Files\MiKTeX 2.7\tex\latex\graphics\trig.sty"
Package: trig 1999/03/16 v1.09 sin cos tan (DPC)
)
("C:\Program Files\MiKTeX 2.7\tex\latex\00miktex\graphics.cfg"
File: graphics.cfg 2007/01/18 v1.5 graphics configuration of teTeX/TeXLive
)
Package graphics Info: Driver file: dvips.def on input line 90.

("C:\Program Files\MiKTeX 2.7\tex\latex\graphics\dvips.def"
File: dvips.def 1999/02/16 v3.0i Driver-dependant file (DPC,SPQR)
))
\Gin@req@height=\dimen113
\Gin@req@width=\dimen114
)
\copyins=\insert233
\abstractbox=\box28
\listisep=\skip45
\c@part=\count91
\c@section=\count92
\c@subsection=\count93
\c@subsubsection=\count94
\c@paragraph=\count95
\c@figure=\count96
\c@table=\count97
\abovecaptionskip=\skip46
\belowcaptionskip=\skip47
\captionindent=\dimen115

("C:\Program Files\MiKTeX 2.7\tex\latex\amscls\amsthm.sty"
Package: amsthm 2004/08/06 v2.20
\thm@style=\toks20
\thm@bodyfont=\toks21
\thm@headfont=\toks22
\thm@notefont=\toks23
\thm@headpunct=\toks24
\thm@preskip=\skip48
\thm@postskip=\skip49
\thm@headsep=\skip50
\dth@everypar=\toks25
)
\c@firstpage=\count98
\c@lastpage=\count99
\c@nrofpages=\count100
)
("C:\Program Files\MiKTeX 2.7\tex\generic\babel\babel.sty"
Package: babel 2005/11/23 v3.8h The Babel package

*************************************
* Local config file bblopts.cfg used
*
("C:\Program Files\MiKTeX 2.7\tex\latex\00miktex\bblopts.cfg"
File: bblopts.cfg 2006/07/31 v1.0 MiKTeX 'babel' configuration
)
("C:\Program Files\MiKTeX 2.7\tex\generic\babel\ukraineb.ldf"
Language: ukraineb 2007/10/20 v1.1l Ukrainian support from the babel system

("C:\Program Files\MiKTeX 2.7\tex\generic\babel\babel.def"
File: babel.def 2005/11/23 v3.8h Babel common definitions
\babel@savecnt=\count101
\U@D=\dimen116
)

Package babel Warning: No hyphenation patterns were loaded for
(babel)                the language `Ukrainian'
(babel)                I will use the patterns loaded for \language=0 instead.

\l@ukrainian = a dialect from \language0
("C:\Program Files\MiKTeX 2.7\tex\latex\cyrillic\t2aenc.def"
File: t2aenc.def 2005/09/27 v1.0i Cyrillic encoding definition file
)

Package babel Warning: No input encoding specified for Ukrainian language on in
put line 136.

Package babel Info: Making " an active character on input line 189.
)) ("C:\Program Files\MiKTeX 2.7\tex\latex\tools\afterpage.sty"
Package: afterpage 1995/10/27 v1.08 After-Page Package (DPC)
\AP@output=\toks26
\AP@partial=\box29
\AP@footins=\box30
)
("C:\Program Files\MiKTeX 2.7\tex\latex\float\float.sty"
Package: float 2001/11/08 v1.3d Float enhancements (AL)
\c@float@type=\count102
\float@exts=\toks27
\float@box=\box31
\@float@everytoks=\toks28
\@floatcapt=\box32
)
\c@thm=\count103
 (article.aux
LaTeX Font Info:    Try loading font information for T2A+cmr on input line 9.

("C:\Program Files\MiKTeX 2.7\tex\latex\cyrillic\t2acmr.fd"
File: t2acmr.fd 2001/08/11 v1.0a Computer Modern Cyrillic font definitions
))
LaTeX Font Info:    Checking defaults for OML/cmm/m/it on input line 22.
LaTeX Font Info:    ... okay on input line 22.
LaTeX Font Info:    Checking defaults for T1/cmr/m/n on input line 22.
LaTeX Font Info:    ... okay on input line 22.
LaTeX Font Info:    Checking defaults for OT1/cmr/m/n on input line 22.
LaTeX Font Info:    ... okay on input line 22.
LaTeX Font Info:    Checking defaults for OMS/cmsy/m/n on input line 22.
LaTeX Font Info:    ... okay on input line 22.
LaTeX Font Info:    Checking defaults for OMX/cmex/m/n on input line 22.
LaTeX Font Info:    ... okay on input line 22.
LaTeX Font Info:    Checking defaults for U/cmr/m/n on input line 22.
LaTeX Font Info:    ... okay on input line 22.
LaTeX Font Info:    Checking defaults for T2A/cmr/m/n on input line 22.
LaTeX Font Info:    ... okay on input line 22.
LaTeX Font Info:    Try loading font information for U+msa on input line 22.

("C:\Program Files\MiKTeX 2.7\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 22.

("C:\Program Files\MiKTeX 2.7\tex\latex\amsfonts\umsb.fd"
File: umsb.fd 2002/01/19 v2.2g AMS font definitions
) [1] [2]
Overfull \hbox (5.53624pt too wide) in paragraph at lines 264--272
[]\T2A/cmr/m/n/10 the cor-re-spond-ing rep-re-sen-ta-tion $\OML/cmm/m/it/10 []
 \OT1/cmr/m/n/10 = (\OML/cmm/m/it/10 V\OT1/cmr/m/n/10 ; \OML/cmm/m/it/10 V[]; V
[]; V[]; V[]\OT1/cmr/m/n/10 )$ \T2A/cmr/m/n/10 of the poset $\OMS/cmsy/m/n/10 N
 \OT1/cmr/m/n/10 = (1\OML/cmm/m/it/10 ; \OT1/cmr/m/n/10 1\OML/cmm/m/it/10 ; \OT
1/cmr/m/n/10 1\OML/cmm/m/it/10 ; \OT1/cmr/m/n/10 1)$ 
 []

[3] [4] [5]
Overfull \hbox (3.62845pt too wide) in paragraph at lines 505--505
[] 
 []


Overfull \hbox (40.71822pt too wide) in paragraph at lines 536--536
[] 
 []


Overfull \hbox (21.73073pt too wide) in paragraph at lines 555--555
[] 
 []


Underfull \vbox (badness 4328) has occurred while \output is active []

 [6]
Overfull \hbox (7.4099pt too wide) in paragraph at lines 561--565
\T2A/cmr/b/n/10 Theorem 2.1. []\T2A/cmr/m/it/10 Any non-de-gen-er-ate rep-re-se
n-ta-tion of poset $\OMS/cmsy/m/n/10 N$ \T2A/cmr/m/it/10 is the fol-low-ing: $\
OT1/cmr/m/n/10 (\OML/cmm/m/it/10 F[]\OT1/cmr/m/n/10 )[]\OML/cmm/m/it/10 $\T2A/
cmr/m/it/10 ,
 []

[7]
Overfull \hbox (21.53528pt too wide) in paragraph at lines 637--640
[][]\T2A/cmr/m/n/10 For prim-i-tive posets for more con-ve-nience we'll de-note
 $\OML/cmm/m/it/10  \OT1/cmr/m/n/10 = (\OML/cmm/m/it/10 []; [] ; []; [] ; [
]\OT1/cmr/m/n/10 )$
 []

[8]

LaTeX Warning: Citation `KrAndOthers' on page 9 undefined on input line 680.


LaTeX Warning: Reference `OS' on page 9 undefined on input line 689.


Overfull \hbox (23.8337pt too wide) in paragraph at lines 688--696
[]\T2A/cmr/m/n/10 Using Cox-eter func-tors for $\OMS/cmsy/m/n/10 $\T2A/cmr/m/n
/10 -representations of $\OMS/cmsy/m/n/10 $\T2A/cmr/m/n/10 -algebras as-so-ci-
at-ed with graphs (see [])
 []

[9] [10]
LaTeX Font Info:    Try loading font information for T2A+cmtt on input line 879
.
 ("C:\Program Files\MiKTeX 2.7\tex\latex\cyrillic\t2acmtt.fd"
File: t2acmtt.fd 2001/08/11 v1.0a Computer Modern Cyrillic font definitions
) [11]
(article.aux)

LaTeX Warning: There were undefined references.

 ) 
Here is how much of TeX's memory you used:
 2634 strings out of 95341
 28767 string characters out of 1184182
 87286 words of memory out of 1500000
 5632 multiletter control sequences out of 110000
 20174 words of font info for 53 fonts, out of 1200000 for 2000
 175 hyphenation exceptions out of 8191
 33i,14n,32p,265b,342s stack positions out of 5000i,500n,10000p,200000b,5000s

Output written on article.dvi (11 pages, 46568 bytes).