[OS X TeX] Re: The microtype mystery
George Gratzer
gratzer at me.com
Tue Aug 17 21:05:14 EDT 2010
Hi Robert,
I do not think that my publisher would give permission to mail the document.
Here is the log file, with the verbose option.
It would really be nice to speed up the process.
GG
This is pdfTeX, Version 3.1415926-1.40.10 (TeX Live 2009)
\write18 enabled.
entering extended mode
(./LTFoundation.tex
LaTeX2e <2009/09/24>
Babel <v3.8l> and hyphenation patterns for english, usenglishmax, dumylang, noh
yphenation, german-x-2009-06-19, ngerman-x-2009-06-19, ancientgreek, ibycus, ar
abic, basque, bulgarian, catalan, pinyin, coptic, croatian, czech, danish, dutc
h, esperanto, estonian, farsi, finnish, french, galician, german, ngerman, mono
greek, greek, hungarian, icelandic, indonesian, interlingua, irish, italian, ku
rmanji, latin, latvian, lithuanian, mongolian, mongolian2a, bokmal, nynorsk, po
lish, portuguese, romanian, russian, sanskrit, serbian, slovak, slovenian, span
ish, swedish, turkish, ukenglish, ukrainian, uppersorbian, welsh, loaded.
(./book.cls
Document Class: book 2005/09/16 v1.4f Standard LaTeX document class
(/usr/local/texlive/2009/texmf-dist/tex/latex/base/leqno.clo)
(/usr/local/texlive/2009/texmf-dist/tex/latex/base/bk10.clo)) (./LTF.sty
(/usr/local/texlive/2009/texmf-dist/tex/latex/amsmath/amsmath.sty
For additional information on amsmath, use the `?' option.
(/usr/local/texlive/2009/texmf-dist/tex/latex/amsmath/amstext.sty
(/usr/local/texlive/2009/texmf-dist/tex/latex/amsmath/amsgen.sty))
(/usr/local/texlive/2009/texmf-dist/tex/latex/amsmath/amsbsy.sty)
(/usr/local/texlive/2009/texmf-dist/tex/latex/amsmath/amsopn.sty))
(/usr/local/texlive/2009/texmf-dist/tex/latex/amscls/amsthm.sty)
(/usr/local/texlive/2009/texmf-dist/tex/latex/amsmath/amsxtra.sty)
(/usr/local/texlive/2009/texmf-dist/tex/latex/amsfonts/eucal.sty)
(/usr/local/texlive/2009/texmf-dist/tex/latex/amsfonts/amssymb.sty
(/usr/local/texlive/2009/texmf-dist/tex/latex/amsfonts/amsfonts.sty))
(/usr/local/texlive/2009/texmf-dist/tex/latex/base/latexsym.sty)
(/usr/local/texlive/2009/texmf-dist/tex/latex/amsmath/amscd.sty)
(/usr/local/texlive/2009/texmf-dist/tex/latex/graphics/graphicx.sty
(/usr/local/texlive/2009/texmf-dist/tex/latex/graphics/keyval.sty)
(/usr/local/texlive/2009/texmf-dist/tex/latex/graphics/graphics.sty
(/usr/local/texlive/2009/texmf-dist/tex/latex/graphics/trig.sty)
(/usr/local/texlive/2009/texmf-dist/tex/latex/latexconfig/graphics.cfg)
(/usr/local/texlive/2009/texmf-dist/tex/latex/pdftex-def/pdftex.def)))
(/usr/local/texlive/2009/texmf-dist/tex/latex/graphics/color.sty
(/usr/local/texlive/2009/texmf-dist/tex/latex/latexconfig/color.cfg))
(/Users/gratzer/Library/texmf/tex/latex/mdwlist.sty) (./chngcntr.sty)
(/usr/local/texlive/2009/texmf-dist/tex/latex/booktabs/booktabs.sty)
(/usr/local/texlive/2009/texmf-dist/tex/latex/ltxmisc/url.sty)
(/usr/local/texlive/2009/texmf-dist/tex/latex/base/fixltx2e.sty)
(/usr/local/texlive/2009/texmf-dist/tex/latex/tools/verbatim.sty)
(/usr/local/texlive/2009/texmf-dist/tex/latex/tools/enumerate.sty)
(/usr/local/texlive/2009/texmf-dist/tex/latex/tools/xspace.sty))
(/usr/local/texlive/2009/texmf-dist/tex/latex/base/makeidx.sty)
Writing index file LTFoundation.idx
(./LTFoundation.aux)
(/usr/local/texlive/2009/texmf-dist/tex/context/base/supp-pdf.mkii
[Loading MPS to PDF converter (version 2006.09.02).]
) [1{/usr/local/texlive/2009/texmf-var/fonts/map/pdftex/updmap/pdftex.map}]
[2]
LaTeX Font Warning: Font shape `OT1/cmr/m/it' in size <30> not available
(Font) size <24.88> substituted on input line 57.
(./LTFoundation.toc [3]) [4] (./LTFoundation.toc [5]
(/usr/local/texlive/2009/texmf-dist/tex/latex/amsfonts/umsa.fd)
(/usr/local/texlive/2009/texmf-dist/tex/latex/amsfonts/umsb.fd)
(/usr/local/texlive/2009/texmf-dist/tex/latex/base/ulasy.fd) [6] [7] [8]
[9] (/usr/local/texlive/2009/texmf-dist/tex/latex/amsfonts/ueuf.fd) [10]
[11]) [12] [13] (/usr/local/texlive/2009/texmf-dist/tex/latex/base/omscmr.fd)
[14] [15] [16] [17]
pdfTeX warning: /usr/texbin/pdflatex (file ./ch1/GGsignature.pdf): PDF inclusio
n: found PDF version <1.5>, but at most version <1.4> allowed
<ch1/GGsignature.pdf, id=67, 161.04166pt x 39.62805pt>
<use ch1/GGsignature.pdf>
Underfull \hbox (badness 10000) in paragraph at lines 255--256
[18 <./ch1/GGsignature.pdf>] [19]
Overfull \hbox (3.40181pt too wide) in paragraph at lines 334--440
[][]
[20] [21]
Overfull \hbox (13.45897pt too wide) in paragraph at lines 543--627
[][]
[22]
Underfull \vbox (badness 10000) has occurred while \output is active [23]
Underfull \vbox (badness 10000) has occurred while \output is active [24]
[25] [26]
Chapter I.
LaTeX Font Warning: Font shape `OT1/cmr/bx/n' in size <20> not available
(Font) size <20.74> substituted on input line 851.
LaTeX Font Warning: Font shape `OT1/cmr/m/n' in size <48> not available
(Font) size <24.88> substituted on input line 851.
[1] [2] [3] [4] [5] <ch1/bc1.pdf, id=133, 277.035pt x 64.24pt>
<use ch1/bc1.pdf> [6] <ch1/bc2.pdf, id=137, 117.43875pt x 78.2925pt>
<use ch1/bc2.pdf> [7 <./ch1/bc1.pdf>]
<ch1/bc3.pdf, id=143, 265.99374pt x 120.45pt> <use ch1/bc3.pdf> [8 <./ch1/bc2.p
df> <./ch1/bc3.pdf>] [9] [10] [11] [12] [13] [14] [15] [16] [17] [18] [19]
[20] <ch1/Is2f1.pdf, id=191, 90.43326pt x 95.78084pt> <use ch1/Is2f1.pdf>
[21 <./ch1/Is2f1.pdf>] <ch1/Is2f2.pdf, id=218, 246.359pt x 132.99687pt>
<use ch1/Is2f2.pdf> <ch1/Is2f3.pdf, id=219, 164.64743pt x 180.14151pt>
<use ch1/Is2f3.pdf> [22] [23 <./ch1/Is2f2.pdf> <./ch1/Is2f3.pdf>] [24]
<ch1/Is2f49.pdf, id=277, 316.18124pt x 488.82625pt> <use ch1/Is2f49.pdf>
Underfull \vbox (badness 10000) has occurred while \output is active [25]
[26 <./ch1/Is2f49.pdf>] [27]
<ch1/Is2f10.pdf, id=298, 309.51483pt x 153.04306pt> <use ch1/Is2f10.pdf>
[28 <./ch1/Is2f10.pdf>] [29]
<ch1/Is3f13.pdf, id=315, 343.26614pt x 67.11203pt> <use ch1/Is3f13.pdf>
[30 <./ch1/Is3f13.pdf>] <ch1/Is3f4.pdf, id=328, 95.30968pt x 80.31425pt>
<use ch1/Is3f4.pdf> [31] [32 <./ch1/Is3f4.pdf>] [33] [34]
<ch1/cong1.pdf, id=357, 188.705pt x 75.28125pt> <use ch1/cong1.pdf> [35 <./ch1/
cong1.pdf>] [36] [37] [38] [39]
<ch1/Is3f5.pdf, id=386, 106.3975pt x 78.2925pt> <use ch1/Is3f5.pdf> [40 <./ch1/
Is3f5.pdf>] [41] [42] <ch1/Im33.pdf, id=419, 140.525pt x 160.6pt>
<use ch1/Im33.pdf> [43 <./ch1/Im33.pdf>] [44]
<ch1/Is3f6.pdf, id=434, 237.09851pt x 166.00569pt> <use ch1/Is3f6.pdf> [45 <./c
h1/Is3f6.pdf>] [46] [47] [48] [49] [50] [51] [52] [53] [54] [55] [56] [57]
[58] [59] [60] [61] [62] [63]
<ch1/Inontriviex.pdf, id=505, 399.4925pt x 250.9375pt>
<use ch1/Inontriviex.pdf> [64] [65 <./ch1/Inontriviex.pdf>]
LaTeX Font Warning: Command \mathversion invalid in math mode on input line 487
4.
[66] [67] [68] [69] [70] [71] [72] [73] [74] [75]
<ch1/Is5f1.pdf, id=573, 129.48375pt x 117.43875pt> <use ch1/Is5f1.pdf> [76 <./c
h1/Is5f1.pdf>] [77] <ch1/Is5f24.pdf, id=594, 353.32pt x 378.41376pt>
<use ch1/Is5f24.pdf> [78]
Underfull \vbox (badness 10000) has occurred while \output is active [79 <./ch1
/Is5f24.pdf>] [80] [81] <ch1/Is5f5.pdf, id=620, 284.24011pt x 177.48157pt>
<use ch1/Is5f5.pdf> [82 <./ch1/Is5f5.pdf>]
<ch1/Is5f6.pdf, id=656, 340.98271pt x 338.93336pt> <use ch1/Is5f6.pdf>
<ch1/Is5f7.pdf, id=657, 369.38pt x 364.36125pt> <use ch1/Is5f7.pdf>
<ch1/Is5f8.pdf, id=658, 120.8239pt x 167.91252pt> <use ch1/Is5f8.pdf> [83]
[84 <./ch1/Is5f6.pdf>] [85 <./ch1/Is5f7.pdf>]
<ch1/Is5f9.pdf, id=717, 159.83626pt x 163.03268pt> <use ch1/Is5f9.pdf> [86 <./c
h1/Is5f8.pdf> <./ch1/Is5f9.pdf>] [87] [88] [89] [90] [91] [92] [93] [94]
Underfull \vbox (badness 6396) has occurred while \output is active [95]
<ch1/Is5f10.pdf, id=796, 87.6335pt x 119.90155pt> <use ch1/Is5f10.pdf> [96 <./c
h1/Is5f10.pdf>] [97] [98] [99] [100] [101] [102] [103]
Overfull \hbox (4.0562pt too wide) in paragraph at lines 7243--7246
[]\OT1/cmr/m/n/10 For semi-lat-tices, lat-tices, mod-u-lar lat-tices, dis-tribu
-tive lat-tices, and boolean
[104]
Overfull \hbox (0.25056pt too wide) in paragraph at lines 7327--7329
[][]\OT1/cmr/m/n/10 Show that in a fi-nite lat-tice ev-ery el-e-ment is the joi
n of join-irreducible
[105]
Overfull \hbox (4.28156pt too wide) in paragraph at lines 7447--7452
\OT1/cmr/m/n/10 is a []boolean al-ge-bra by The-o-rem 100[]. Let $\OMS/cmsy/m/n
/10 _[]$ \OT1/cmr/m/n/10 de-note the join in $[](\OML/cmm/m/it/10 a\OT1/cmr/m/n
/10 )$.
[106] [107] [108]
Chapter II.
<ch2/IIs1f1.pdf, id=861, 239.89626pt x 133.49875pt> <use ch2/IIs1f1.pdf>
[109] [110 <./ch2/IIs1f1.pdf>] [111] [112] [113] [114] [115]
<ch2/IIs1f2.pdf, id=892, 100.375pt x 157.58875pt> <use ch2/IIs1f2.pdf> [116 <./
ch2/IIs1f2.pdf>] [117] [118] [119]
<ch2/IIs1birkhoff.pdf, id=914, 86.3225pt x 163.61125pt>
<use ch2/IIs1birkhoff.pdf> [120] [121 <./ch2/IIs1birkhoff.pdf>] [122] [123]
[124]
Underfull \vbox (badness 5622) has occurred while \output is active [125]
[126] [127] [128] [129] [130] [131] [132] [133] [134] [135] [136]
Overfull \hbox (2.52834pt too wide) in paragraph at lines 9488--9490
[][]\OT1/cmr/m/n/10 Show that the prop-erty de-scribed in Ex-er-cise 2.7[] char
-ac-ter-izes boolean
[137] <ch2/IIs3f1.pdf, id=978, 115.43124pt x 230.8625pt> <use ch2/IIs3f1.pdf>
[138 <./ch2/IIs3f1.pdf>] [139]
<ch2/IIs3f2.pdf, id=999, 152.57pt x 157.58875pt> <use ch2/IIs3f2.pdf> [140 <./c
h2/IIs3f2.pdf>] <ch2/IIs3f3.pdf, id=1017, 101.37875pt x 157.58875pt>
<use ch2/IIs3f3.pdf> [141 <./ch2/IIs3f3.pdf>]
<ch2/IIs3f4.pdf, id=1030, 112.42pt x 175.65625pt> <use ch2/IIs3f4.pdf> [142 <./
ch2/IIs3f4.pdf>] [143] <ch2/IIs3f5.pdf, id=1050, 147.55125pt x 119.44624pt>
<use ch2/IIs3f5.pdf> [144 <./ch2/IIs3f5.pdf>] [145] [146] [147] [148]
<ch2/IIs4f1.pdf, id=1077, 177.66376pt x 169.63374pt> <use ch2/IIs4f1.pdf>
[149 <./ch2/IIs4f1.pdf>] [150]
Overfull \hbox (9.78415pt too wide) in paragraph at lines 10403--10407
[]\OT1/cmr/bx/n/10 Corollary 160. []\OT1/cmr/m/it/10 Let $\OML/cmm/m/it/10 L[]$
\OT1/cmr/m/it/10 be a $\OMS/cmsy/m/n/10 f\OT1/cmr/m/n/10 0\OMS/cmsy/m/n/10 g$\
OT1/cmr/m/it/10 -sublattice of the dis-tribu-tive lat-tice $\OML/cmm/m/it/10 L[
]$ \OT1/cmr/m/it/10 with zero.
[151] <ch2/IIs4f2.pdf, id=1101, 106.3975pt x 112.42pt> <use ch2/IIs4f2.pdf>
[152 <./ch2/IIs4f2.pdf>] [153] [154] [155] [156] [157] [158] [159] [160]
[161] [162] [163] [164]
Overfull \hbox (3.90335pt too wide) in paragraph at lines 11330--11334
[][]\OT1/cmr/m/n/10 Using the Gen-er-al-ized Con-tin-uum Hy-poth-e-sis,[][] gen
-er-al-ize Ex-er-cise 4.33[]
[165] <ch2/IIs5f1.pdf, id=1157, 125.46875pt x 125.46875pt>
<use ch2/IIs5f1.pdf> [166 <./ch2/IIs5f1.pdf>] [167]
<ch2/IIs5f2.pdf, id=1179, 155.58125pt x 117.43875pt> <use ch2/IIs5f2.pdf>
[168] [169 <./ch2/IIs5f2.pdf>] [170]
<ch2/IIs5f3.pdf, id=1203, 318.18875pt x 331.2375pt> <use ch2/IIs5f3.pdf>
[171] [172 <./ch2/IIs5f3.pdf>] [173] [174] [175]
<ch2/IIs5f4.pdf, id=1236, 116.435pt x 95.35625pt> <use ch2/IIs5f4.pdf> [176 <./
ch2/IIs5f4.pdf>]
Overfull \hbox (1.2831pt too wide) in paragraph at lines 12085--12093
\OT1/cmr/m/n/10 given by $\OML/cmm/m/it/10 e[]\OT1/cmr/m/n/10 (\OML/cmm/m/it/10
f\OT1/cmr/m/n/10 ) = \OML/cmm/m/it/10 f\OT1/cmr/m/n/10 (\OML/cmm/m/it/10 i\OT1
/cmr/m/n/10 ))$. By Lemma 195[], there is a unique $\OMS/cmsy/m/n/10 f\OT1/cmr/
m/n/10 0\OML/cmm/m/it/10 ; \OT1/cmr/m/n/10 1\OMS/cmsy/m/n/10 g$\OT1/cmr/m/n/10
-homomorphism
<ch2/IIs5f5.pdf, id=1251, 205.76875pt x 95.35625pt> <use ch2/IIs5f5.pdf>
[177] [178 <./ch2/IIs5f5.pdf>] [179] [180] [181] [182] [183] [184] [185]
[186] <ch2/IIs6f1.pdf, id=1303, 92.345pt x 135.50626pt> <use ch2/IIs6f1.pdf>
Overfull \hbox (7.04669pt too wide) in paragraph at lines 12795--12797
[][]\OT1/cmr/m/n/10 Let $\OML/cmm/m/it/10 L$ \OT1/cmr/m/n/10 be a dis-tribu-tiv
e al-ge-braic lat-tice. By The-o-rem 42[] and Lemma 184[],
[187 <./ch2/IIs6f1.pdf>] [188] [189]
<ch2/IIs6f2.pdf, id=1319, 238.8925pt x 284.06125pt> <use ch2/IIs6f2.pdf>
[190] [191 <./ch2/IIs6f2.pdf>] [192]
<ch2/I-2-subdirect.pdf, id=1345, 58.2175pt x 137.51375pt>
<use ch2/I-2-subdirect.pdf> [193 <./ch2/I-2-subdirect.pdf>] [194] [195]
[196] [197] [198] [199] [200]
Chapter III.
[201]
Overfull \hbox (13.97914pt too wide) in paragraph at lines 13678--13682
[]\OT1/cmr/m/n/10 The tran-si-tive ex-ten-sion[] of $\U/msa/m/n/10 ^^P$ \OT1/cm
r/m/n/10 is congruence-projectivity, $\OMS/cmsy/m/n/10 )$ \OT1/cmr/m/n/10 (or \
OT1/cmr/m/it/10 c-projectivity\OT1/cmr/m/n/10 ).
<ch3/cong2.pdf, id=1380, 188.705pt x 103.38625pt> <use ch3/cong2.pdf> [202 <./c
h3/cong2.pdf>] [203] [204] [205] [206] [207]
<ch3/primes.pdf, id=1411, 253.94875pt x 122.4575pt> <use ch3/primes.pdf>
<ch3/primes2.pdf, id=1412, 237.88875pt x 91.34125pt> <use ch3/primes2.pdf>
<ch3/smallrs.pdf, id=1413, 127.47626pt x 151.56625pt> <use ch3/smallrs.pdf>
[208 <./ch3/primes.pdf>] [209 <./ch3/primes2.pdf> <./ch3/smallrs.pdf>]
<ch3/cpe.pdf, id=1460, 104.39pt x 169.63374pt> <use ch3/cpe.pdf>
<ch3/cpeexamples.pdf, id=1461, 244.915pt x 121.45375pt>
<use ch3/cpeexamples.pdf> [210 <./ch3/cpe.pdf>]
<ch3/notcpeexamples.pdf, id=1469, 235.88126pt x 121.45375pt>
<use ch3/notcpeexamples.pdf> [211 <./ch3/cpeexamples.pdf> <./ch3/notcpeexamples
.pdf>] <ch3/IIIs1fnew2.pdf, id=1482, 201.82983pt x 100.3495pt>
<use ch3/IIIs1fnew2.pdf> [212] [213 <./ch3/IIIs1fnew2.pdf>]
Overfull \hbox (0.9202pt too wide) in paragraph at lines 14362--14366
\OML/cmm/m/it/10 x; y[]; [] ; y[]$ \OT1/cmr/m/n/10 (that is, the value of $\OML
/cmm/m/it/10 p[]\OT1/cmr/m/n/10 (\OML/cmm/m/it/10 a; e[]; [] ; e[]; e[]; e[]; [
] ; e[]\OT1/cmr/m/n/10 )$
[214] <ch3/III1s9.pdf, id=1530, 64.24pt x 149.55875pt> <use ch3/III1s9.pdf>
[215] [216 <./ch3/III1s9.pdf>] [217] [218] [219] [220] [221] [222] [223]
[224] <ch3/III2f1.pdf, id=1570, 167.62625pt x 186.6975pt> <use ch3/III2f1.pdf>
[225 <./ch3/III2f1.pdf>] <ch3/III2f2.pdf, id=1582, 145.54375pt x 191.71625pt>
<use ch3/III2f2.pdf> <ch3/III2s3.pdf, id=1583, 177.66376pt x 177.66376pt>
<use ch3/III2s3.pdf> <ch3/III2f4.pdf, id=1584, 120.45pt x 119.44624pt>
<use ch3/III2f4.pdf>
LaTeX Warning: Float too large for page by 76.65836pt on input line 15088.
[226] [227 <./ch3/III2f2.pdf> <./ch3/III2s3.pdf> <./ch3/III2f4.pdf>]
Underfull \vbox (badness 2197) has occurred while \output is active [228]
[229] [230] [231] [232] [233] [234]
<ch3/III3f1.pdf, id=1636, 93.34875pt x 93.34875pt> <use ch3/III3f1.pdf>
[235 <./ch3/III3f1.pdf>] <ch3/III3s2.pdf, id=1646, 134.5025pt x 177.66376pt>
<use ch3/III3s2.pdf> [236 <./ch3/III3s2.pdf>] [237] [238] [239] [240]
Overfull \hbox (3.408pt too wide) in paragraph at lines 16032--16037
\OT1/cmr/m/n/10 and so $[] \OML/cmm/m/it/10 L$ \OT1/cmr/m/n/10 is a [][]boolean
lat-tice. This led G. []Birkhoff to sug-gest (in G. []Birkhoff
[241] [242] [243] [244] [245] [246] [247] [248]
Chapter IV.
[249] [250] [251] [252] [253] <ch4/X-W.pdf, id=1711, 221.82875pt x 69.25874pt>
<use ch4/X-W.pdf> [254 <./ch4/X-W.pdf>] [255]
<ch4/trivi2.pdf, id=1722, 339.2675pt x 150.5625pt> <use ch4/trivi2.pdf>
Overfull \hbox (3.26666pt too wide) in paragraph at lines 16886--16887
[][]
[256 <./ch4/trivi2.pdf>] <ch4/sc8.pdf, id=1733, 320.19624pt x 195.73125pt>
<use ch4/sc8.pdf> <ch4/sc9.pdf, id=1734, 234.8775pt x 120.45pt>
<use ch4/sc9.pdf>
LaTeX Warning: `!h' float specifier changed to `!ht'.
[257] [258 <./ch4/sc8.pdf> <./ch4/sc9.pdf>] [259]
<ch4/IV-2-pastingdef.pdf, id=1762, 143.53625pt x 125.46875pt>
<use ch4/IV-2-pastingdef.pdf> [260] [261 <./ch4/IV-2-pastingdef.pdf>] [262]
[263] [264] [265] [266] [267] [268] [269] [270]
<ch4/dw1.pdf, id=1804, 142.5325pt x 102.3825pt> <use ch4/dw1.pdf> [271 <./ch4/d
w1.pdf>] <ch4/dw2.pdf, id=1816, 316.18124pt x 233.87375pt> <use ch4/dw2.pdf>
[272 <./ch4/dw2.pdf>] <ch4/dw3.pdf, id=1834, 295.1025pt x 105.39375pt>
<use ch4/dw3.pdf> <ch4/dw4.pdf, id=1835, 351.3125pt x 105.39375pt>
<use ch4/dw4.pdf>
Underfull \vbox (badness 10000) has occurred while \output is active [273 <./ch
4/dw3.pdf> <./ch4/dw4.pdf>] <ch4/dw6.pdf, id=1868, 189.70876pt x 62.2325pt>
<use ch4/dw6.pdf> <ch4/dw7.pdf, id=1869, 219.82124pt x 85.31876pt>
<use ch4/dw7.pdf> [274 <./ch4/dw6.pdf> <./ch4/dw7.pdf>]
<ch4/bt0.pdf, id=1889, 141.52875pt x 104.39pt> <use ch4/bt0.pdf> [275 <./ch4/bt
0.pdf>] <ch4/bt1.pdf, id=1902, 197.73875pt x 157.58875pt> <use ch4/bt1.pdf>
Overfull \hbox (1.6857pt too wide) in paragraph at lines 17981--17984
[]\OT1/cmr/m/n/10 The unit el-e-ment of the ideal lat-tice of $\OML/cmm/m/it/10
M$ \OT1/cmr/m/n/10 is the com-pat-i-ble vec-tor $(\OML/cmm/m/it/10 m[]; m[]\OT
1/cmr/m/n/10 )$.
[276 <./ch4/bt1.pdf>] [277] [278] [279] [280] [281] [282] [283]
Overfull \hbox (8.98788pt too wide) in paragraph at lines 18602--18603
[]$\OMS/cmsy/m/n/10 }$\OT1/cmr/bx/n/10 Theorem 324 \OT1/cmr/m/n/10 (F. Wehrung
[[]])\OT1/cmr/bx/n/10 . []\OT1/cmr/m/it/10 There ex-ists a dis-tribu-tive join-
semilattice
[284] [285] [286] [287]
Overfull \hbox (1.04866pt too wide) in paragraph at lines 18908--18912
[][]\OT1/cmr/m/n/10 Let $\U/euf/m/n/10 m$ \OT1/cmr/m/n/10 be an in-fi-nite reg-
u-lar car-di-nal. De-fine the con-cepts: $\U/euf/m/n/10 m$\OT1/cmr/m/n/10 -comp
lete
[288] [289] <ch4/bt2.pdf, id=1961, 328.22626pt x 133.49875pt>
<use ch4/bt2.pdf> [290] [291 <./ch4/bt2.pdf>] [292] [293] [294]
Overfull \hbox (0.89291pt too wide) in paragraph at lines 19374--19377
\OT1/cmr/m/n/10 obviously de-fines a meet-embedding $\OML/cmm/m/it/10 ^^\$ \OT1
/cmr/m/n/10 of $\OML/cmm/m/it/10 L$ \OT1/cmr/m/n/10 into $[] \OML/cmm/m/it/10 L
$\OT1/cmr/m/n/10 , pre-serv-ing the bounds.
Overfull \hbox (2.07182pt too wide) in paragraph at lines 19399--19404
[]\OT1/cmr/m/n/10 The con-gru-ence lat-tice[][] of a fi-nite \OT1/cmr/m/it/10 r
el-a-tively com-ple-mented[][] \OT1/cmr/m/n/10 lat-tice is Boolean,
[295] [296]
Overfull \hbox (2.66718pt too wide) in paragraph at lines 19497--19498
[]\OT1/cmr/m/n/10 This shows an-other dis-crep-ancy be-tween the prob-lem of fi
nd-ing con-gruence-
[297] <ch4/IV-4-Fig1.pdf, id=1995, 64.24pt x 150.5625pt>
<use ch4/IV-4-Fig1.pdf> [298 <./ch4/IV-4-Fig1.pdf>] [299] [300]
Chapter V.
[301] <ch5/V1f1.pdf, id=2018, 150.5625pt x 137.51375pt> <use ch5/V1f1.pdf>
[302] [303 <./ch5/V1f1.pdf>] <ch5/V1f2.pdf, id=2037, 174.6525pt x 141.52875pt>
<use ch5/V1f2.pdf> [304 <./ch5/V1f2.pdf>]
<ch5/V1f3.pdf, id=2060, 222.8325pt x 91.34125pt> <use ch5/V1f3.pdf> [305]
[306 <./ch5/V1f3.pdf>] [307] <ch5/V1f46.pdf, id=2085, 206.7725pt x 481.8pt>
<use ch5/V1f46.pdf> [308] [309 <./ch5/V1f46.pdf>] [310] [311] [312] [313]
[314] [315] [316] [317] [318]
Overfull \hbox (9.71422pt too wide) in paragraph at lines 20715--20716
[]\OT1/cmr/m/it/10 MathSciNet \OT1/cmr/m/n/10 re-turns 673 pa-pers when search-
ing for \OT1/cmtt/m/n/10 submodule and lattice\OT1/cmr/m/n/10 .
[319] [320] <ch5/V1f7.pdf, id=2138, 163.61125pt x 120.45pt> <use ch5/V1f7.pdf>
[321]
Underfull \vbox (badness 10000) has occurred while \output is active [322 <./ch
5/V1f7.pdf>] <ch5/V2f1.pdf, id=2151, 244.915pt x 135.50626pt>
<use ch5/V2f1.pdf> [323 <./ch5/V2f1.pdf>]
<ch5/V2f2.pdf, id=2163, 124.465pt x 197.73875pt> <use ch5/V2f2.pdf> [324 <./ch5
/V2f2.pdf>] [325] <ch5/V2f3.pdf, id=2189, 229.44963pt x 137.5522pt>
<use ch5/V2f3.pdf> [326] [327 <./ch5/V2f3.pdf>] [328] [329]
<ch5/V2f4.pdf, id=2212, 187.70125pt x 108.405pt> <use ch5/V2f4.pdf> [330]
[331 <./ch5/V2f4.pdf>] [332]
<ch5/Figure-4-13.pdf, id=2234, 80.3pt x 103.38625pt> <use ch5/Figure-4-13.pdf>
[333 <./ch5/Figure-4-13.pdf>]
<ch5/Figure-4-23.pdf, id=2242, 177.66376pt x 145.54375pt>
<use ch5/Figure-4-23.pdf> [334 <./ch5/Figure-4-23.pdf>] [335]
<ch5/V-2-semimod.pdf, id=2256, 291.0875pt x 120.45pt>
<use ch5/V-2-semimod.pdf> [336 <./ch5/V-2-semimod.pdf>]
Overfull \hbox (10.77835pt too wide) in paragraph at lines 21770--21771
[][]\OT1/cmr/m/n/10 Add doubly-irreducible el-e-ments to the in-te-ri-ors of co
v-er-ing squares.
[337] [338] [339] [340] <ch5/V3f1.pdf, id=2274, 198.7425pt x 181.67876pt>
<use ch5/V3f1.pdf> [341]
Overfull \hbox (16.78575pt too wide) in paragraph at lines 22074--22077
[][]\OT1/cmr/m/n/10 Let $\OML/cmm/m/it/10 p; q; r \OMS/cmsy/m/n/10 2 []\OT1/cmr
/m/n/10 (\OML/cmm/m/it/10 L\OT1/cmr/m/n/10 )$. Let us as-sume that $\OML/cmm/m/
it/10 p \U/msb/m/n/10 s \OML/cmm/m/it/10 q$ \OT1/cmr/m/n/10 and $\OML/cmm/m/it/
10 q \U/msb/m/n/10 s \OML/cmm/m/it/10 r$\OT1/cmr/m/n/10 . By Lemma 393[],
[342 <./ch5/V3f1.pdf>] [343] [344]
<ch5/V3f2.pdf, id=2302, 324.21124pt x 163.61125pt> <use ch5/V3f2.pdf>
<ch5/V3f3.pdf, id=2303, 291.0875pt x 171.64125pt> <use ch5/V3f3.pdf>
<ch5/V3f4.pdf, id=2304, 315.1775pt x 137.51375pt> <use ch5/V3f4.pdf> [345]
[346 <./ch5/V3f2.pdf> <./ch5/V3f3.pdf> <./ch5/V3f4.pdf>]
<ch5/V3f5.pdf, id=2332, 149.55875pt x 78.2925pt> <use ch5/V3f5.pdf> [347]
<ch5/V3f6.pdf, id=2337, 154.5775pt x 92.345pt> <use ch5/V3f6.pdf> [348 <./ch5/V
3f5.pdf> <./ch5/V3f6.pdf>] [349] [350]
<ch5/VFrucht.pdf, id=2359, 92.345pt x 92.345pt> <use ch5/VFrucht.pdf> [351 <./c
h5/VFrucht.pdf>] <ch5/V3f7.pdf, id=2367, 181.67876pt x 111.41624pt>
<use ch5/V3f7.pdf> [352] [353 <./ch5/V3f7.pdf>]
Overfull \hbox (2.59747pt too wide) detected at line 22705
\OML/cmm/m/it/10 ^^V\OT1/cmr/m/n/10 (\OML/cmm/m/it/10 x; y\OT1/cmr/m/n/10 ) = [
]
[354]
pdfTeX warning: /usr/texbin/pdflatex (file ./ch5/V4f1.pdf): PDF inclusion: foun
d PDF version <1.7>, but at most version <1.4> allowed
<ch5/V4f1.pdf, id=2388, 242.80412pt x 94.53047pt> <use ch5/V4f1.pdf> [355 <./ch
5/V4f1.pdf>] [356] <ch5/V4f2.pdf, id=2433, 104.39pt x 102.3825pt>
<use ch5/V4f2.pdf> [357 <./ch5/V4f2.pdf>]
<ch5/V4f3.pdf, id=2449, 150.5625pt x 145.54375pt> <use ch5/V4f3.pdf> [358]
[359 <./ch5/V4f3.pdf>] [360]
pdfTeX warning: /usr/texbin/pdflatex (file ./ch5/V4f4.pdf): PDF inclusion: foun
d PDF version <1.7>, but at most version <1.4> allowed
<ch5/V4f4.pdf, id=2475, 218.81519pt x 150.79016pt> <use ch5/V4f4.pdf> [361]
[362 <./ch5/V4f4.pdf>] <ch5/V4f5.pdf, id=2523, 121.45375pt x 124.465pt>
<use ch5/V4f5.pdf> [363] [364 <./ch5/V4f5.pdf>] [365]
Overfull \hbox (9.15639pt too wide) detected at line 23414
\OML/cmm/m/it/10 u \OMS/cmsy/m/n/10 ^^Q \OML/cmm/m/it/10 v \OT1/cmr/m/n/10 ([]\
OML/cmm/m/it/10 \OT1/cmr/m/n/10 ) [] \OML/cmm/m/it/10 u; v \OMS/cmsy/m/n/10 2
\OML/cmm/m/it/10 A[]; []i \OMS/cmsy/m/n/10 2 \OML/cmm/m/it/10 I[]u \OMS/cmsy/m/
n/10 ^^Q \OML/cmm/m/it/10 v \OT1/cmr/m/n/10 ([]\OML/cmm/m/it/10 []\OT1/cmr/m/n
/10 )\OML/cmm/m/it/10 :
[366] [367] [368] <ch5/V5f1.pdf, id=2554, 234.8775pt x 118.4425pt>
<use ch5/V5f1.pdf> [369] [370 <./ch5/V5f1.pdf>]
<ch5/V5f23.pdf, id=2569, 211.79124pt x 332.24126pt> <use ch5/V5f23.pdf>
[371] [372 <./ch5/V5f23.pdf>]
Overfull \hbox (3.5643pt too wide) in paragraph at lines 23776--23786
[]\OT1/cmr/bx/n/10 Theorem 423. []\OT1/cmr/m/it/10 There is a one-to-one cor-re
-spon-dence be-tween pro-jec-tive spaces[][]
[373] <ch5/V5f4.pdf, id=2591, 262.9825pt x 224.84pt> <use ch5/V5f4.pdf>
[374] [375 <./ch5/V5f4.pdf>] [376] [377] [378]
<ch5/V5f5.pdf, id=2622, 288.07625pt x 143.53625pt> <use ch5/V5f5.pdf> [379]
<ch5/V5f6.pdf, id=2626, 213.79875pt x 152.57pt> <use ch5/V5f6.pdf> [380 <./ch5/
V5f5.pdf>] [381 <./ch5/V5f6.pdf>]
<ch5/BiatomicMod.pdf, id=2657, 135.50626pt x 123.46124pt>
<use ch5/BiatomicMod.pdf> [382] [383 <./ch5/BiatomicMod.pdf>] [384] [385]
[386] [387] [388]
Overfull \hbox (0.99121pt too wide) in paragraph at lines 24690--24691
[]\OT1/cmr/m/n/10 In or-der to state that the-o-rem, we need some no-ta-tion. W
e de-note by $[] \OML/cmm/m/it/10 V$
[389] [390]
Overfull \hbox (2.3094pt too wide) in paragraph at lines 24820--24821
[]$\OMS/cmsy/m/n/10 }$\OT1/cmr/bx/n/10 Theorem 453. []\OT1/cmr/m/it/10 There ex
-ists a non-coordinatizable sec-tion-ally com-ple-mented
[391]
Overfull \hbox (3.07883pt too wide) in paragraph at lines 24864--24865
[][]\OT1/cmr/m/n/10 (\OML/cmm/m/it/10 x; y\OT1/cmr/m/n/10 )$. For a mod-u-lar l
at-tice $\OML/cmm/m/it/10 L$ \OT1/cmr/m/n/10 of fi-nite length, set $\OML/cmm/m
/it/10 M \OT1/cmr/m/n/10 = \U/msb/m/n/10 Z[] \OT1/cmr/m/n/10 = \OMS/cmsy/m/n/10
f\OT1/cmr/m/n/10 0\OML/cmm/m/it/10 ; \OT1/cmr/m/n/10 1\OML/cmm/m/it/10 ; \OT1/
cmr/m/n/10 2\OML/cmm/m/it/10 ; [] \OMS/cmsy/m/n/10 g$\OT1/cmr/m/n/10 ,
[392] [393] [394]
Overfull \hbox (2.72293pt too wide) in paragraph at lines 25002--25006
\OT1/cmr/m/n/10 endowed with the in-ter-val topol-ogy, is a com-pact Haus-dorff
topo-log-i-cal monoid.
[395] [396] [397] [398] <ch5/V5f7.pdf, id=2719, 344.28625pt x 340.27126pt>
<use ch5/V5f7.pdf>
Underfull \vbox (badness 10000) has occurred while \output is active [399 <./ch
5/V5f7.pdf>] <ch5/V5f89.pdf, id=2734, 168.63pt x 311.1625pt>
<use ch5/V5f89.pdf>
Underfull \vbox (badness 10000) has occurred while \output is active [400 <./ch
5/V5f89.pdf>] [401] [402]
Chapter VI.
[403]
Overfull \hbox (13.93958pt too wide) in paragraph at lines 25360--25360
[]
[404] [405] [406] [407] [408] [409] [410] [411] [412] [413] [414] [415]
Underfull \vbox (badness 1097) has occurred while \output is active [416]
<ch6/VI2f1.pdf, id=2799, 203.76125pt x 292.09125pt> <use ch6/VI2f1.pdf>
[417] <ch6/VI2f2.pdf, id=2803, 262.9825pt x 135.50626pt> <use ch6/VI2f2.pdf>
[418 <./ch6/VI2f1.pdf>]
Overfull \hbox (1.05972pt too wide) in paragraph at lines 26272--26274
\OT1/cmr/m/n/10 Thus $[]$ and $[]$ in $[]$, see Fig-ure 103[]. Also, $[]$.
[419 <./ch6/VI2f2.pdf>]
pdfTeX warning: /usr/texbin/pdflatex (file ./ch6/VIJBN1.pdf): PDF inclusion: fo
und PDF version <1.6>, but at most version <1.4> allowed
<ch6/VIJBN1.pdf, id=2835, 379.4175pt x 225.84375pt> <use ch6/VIJBN1.pdf>
pdfTeX warning: /usr/texbin/pdflatex (file ./ch6/VIJBN2.pdf): PDF inclusion: fo
und PDF version <1.6>, but at most version <1.4> allowed
<ch6/VIJBN2.pdf, id=2836, 343.2825pt x 135.50626pt> <use ch6/VIJBN2.pdf>
[420] [421 <./ch6/VIJBN1.pdf> <./ch6/VIJBN2.pdf>] [422]
Overfull \hbox (4.75098pt too wide) in paragraph at lines 26444--26448
\OT1/cmr/m/n/10 dis-cus-sion was based), R.N. []McKen-zie [[]] (with-out mod-u-
lar-ity), and R. []Wille
[423] [424] <ch6/VI2Fried.pdf, id=3549, 121.45375pt x 149.55875pt>
<use ch6/VI2Fried.pdf>
Underfull \hbox (badness 10000) in paragraph at lines 26563--26569
Underfull \hbox (badness 10000) in paragraph at lines 26572--26573
[425 <./ch6/VI2Fried.pdf>]
Overfull \hbox (1.1541pt too wide) in paragraph at lines 26601--26611
[]\OT1/cmr/m/n/10 In K.V. []Adaricheva and V.A. []Gor-bunov [[]], fol-low-ing t
he lead of W. Dzio-
Underfull \vbox (badness 1377) has occurred while \output is active [426]
Overfull \hbox (6.63983pt too wide) in paragraph at lines 26633--26636
\OT1/cmr/m/n/10 The proof uses a num-ber of ear-lier re-sults, in-clud-ing some
from K.V. []Adaricheva
Overfull \hbox (5.28975pt too wide) in paragraph at lines 26637--26642
[]\OT1/cmr/m/n/10 (\OT1/cmr/bx/n/10 V\OT1/cmr/m/n/10 )$ as con-gru-ence lat-tic
es of semi-lat-tices with op-er-a-tors $[](\OML/cmm/m/it/10 S; \OMS/cmsy/m/n/10
F\OT1/cmr/m/n/10 )$. In this
[427] [428]
Overfull \hbox (3.32004pt too wide) in paragraph at lines 26787--26804
[]\OT1/cmr/m/n/10 For a natural-duality view-point, Priest-ley du-al-ity[][] fo
r the class $[]$ of bounded
(/usr/local/texlive/2009/texmf-dist/tex/latex/amsfonts/ueus.fd) [429] [430]
<ch6/VI2f3.pdf, id=3576, 390.45876pt x 500.87125pt> <use ch6/VI2f3.pdf>
<ch6/VI2f12.pdf, id=3577, 224.84pt x 135.50626pt> <use ch6/VI2f12.pdf> [431]
[432 <./ch6/VI2f3.pdf>]
Underfull \vbox (badness 10000) has occurred while \output is active [433 <./ch
6/VI2f12.pdf>] [434] [435] [436] [437] [438] [439]
<ch6/VI3f1.pdf, id=3618, 111.41624pt x 97.36375pt> <use ch6/VI3f1.pdf> [440 <./
ch6/VI3f1.pdf>] <ch6/VI3f2.pdf, id=3634, 324.21124pt x 263.98625pt>
<use ch6/VI3f2.pdf> [441] [442 <./ch6/VI3f2.pdf>] [443] [444]
Overfull \hbox (2.45609pt too wide) in paragraph at lines 27864--27867
\OT1/cmr/m/n/10 [\OML/cmm/m/it/10 o; a\OT1/cmr/m/n/10 ]\OML/cmm/m/it/10 ; \OT1/
cmr/m/n/10 [\OML/cmm/m/it/10 o; b\OT1/cmr/m/n/10 ]\OML/cmm/m/it/10 ; \OT1/cmr/m
/n/10 [\OML/cmm/m/it/10 o; c\OT1/cmr/m/n/10 ]$, ob-tain-ing the el-e-ments: $\O
ML/cmm/m/it/10 x[]; x[]; x[]$\OT1/cmr/m/n/10 , re-spec-tively. Show
Overfull \hbox (3.50583pt too wide) detected at line 27889
\OML/cmm/m/it/10 x \OMS/cmsy/m/n/10 ^ []\OT1/cmr/m/n/10 ( \OML/cmm/m/it/10 y[]
\OMS/cmsy/m/n/10 j \OT1/cmr/m/n/10 0 \OMS/cmsy/m/n/10 ^^T \OML/cmm/m/it/10 i \O
MS/cmsy/m/n/10 ^^T \OML/cmm/m/it/10 n \OT1/cmr/m/n/10 ) = []( \OML/cmm/m/it/10
x \OMS/cmsy/m/n/10 ^ []\OT1/cmr/m/n/10 ( \OML/cmm/m/it/10 y[] \OMS/cmsy/m/n/10
j \OT1/cmr/m/n/10 0 \OMS/cmsy/m/n/10 ^^T \OML/cmm/m/it/10 i \OMS/cmsy/m/n/10 ^^
T \OML/cmm/m/it/10 n; i \OMS/cmsy/m/n/10 6\OT1/cmr/m/n/10 = \OML/cmm/m/it/10 j
\OT1/cmr/m/n/10 ) \OMS/cmsy/m/n/10 j \OT1/cmr/m/n/10 0 \OMS/cmsy/m/n/10 ^^T \O
ML/cmm/m/it/10 j \OMS/cmsy/m/n/10 ^^T \OML/cmm/m/it/10 n \OT1/cmr/m/n/10 )\OML/
cmm/m/it/10 :
<ch6/VI3f310.pdf, id=3666, 402.50375pt x 517.935pt> <use ch6/VI3f310.pdf>
LaTeX Warning: Float too large for page by 15.87816pt on input line 27894.
[445] [446 <./ch6/VI3f310.pdf>] [447]
<ch6/VI4f1.pdf, id=3683, 125.46875pt x 91.34125pt> <use ch6/VI4f1.pdf> [448 <./
ch6/VI4f1.pdf>] [449] [450] [451] [452]
<ch6/VI4f2.pdf, id=3708, 117.43875pt x 120.45pt> <use ch6/VI4f2.pdf> [453 <./ch
6/VI4f2.pdf>] [454] [455] [456] [457]
Overfull \hbox (2.94498pt too wide) in paragraph at lines 28586--28590
[]\OT1/cmr/m/n/10 The fol-low-ing ex-er-cises are from G. Gr^^?atzer, B. J^^Son
sson[], and H. []Lakser
[458] [459] [460]
Chapter VII.
<ch7/VII1f1.pdf, id=3738, 372.39125pt x 497.86pt> <use ch7/VII1f1.pdf>
<ch7/VII1f2.pdf, id=3739, 205.76875pt x 83.31125pt> <use ch7/VII1f2.pdf>
[461] [462 <./ch7/VII1f1.pdf>] [463 <./ch7/VII1f2.pdf>] [464] [465] [466]
Underfull \vbox (badness 6284) has occurred while \output is active [467]
[468] [469] [470] [471] <ch7/VII1f3.pdf, id=3796, 200.75pt x 143.53625pt>
<use ch7/VII1f3.pdf> <ch7/VII1f4.pdf, id=3797, 240.9pt x 172.645pt>
<use ch7/VII1f4.pdf>
LaTeX Warning: `!h' float specifier changed to `!ht'.
[472 <./ch7/VII1f3.pdf>] [473 <./ch7/VII1f4.pdf>] [474] [475] [476] [477]
[478] [479] [480] [481] [482]
<ch7/VII1f5.pdf, id=3848, 298.11375pt x 512.91624pt> <use ch7/VII1f5.pdf>
LaTeX Warning: Float too large for page by 10.85944pt on input line 29836.
<ch7/VII1f6.pdf, id=3849, 291.0875pt x 541.02126pt> <use ch7/VII1f6.pdf>
LaTeX Warning: Float too large for page by 38.96437pt on input line 29851.
[483] [484 <./ch7/VII1f5.pdf>] [485 <./ch7/VII1f6.pdf>] [486] [487] [488]
<ch7/VII2f1.pdf, id=3893, 488.82625pt x 516.93124pt> <use ch7/VII2f1.pdf>
[489] [490 <./ch7/VII2f1.pdf>] [491] [492] [493] [494] [495] [496] [497]
[498]
Overfull \hbox (1.94499pt too wide) in paragraph at lines 30742--30755
[]\OT1/cmr/m/n/10 It seems that the jux-ta-po-si-tion be-tween the ex-change[]
and the anti-exchange
[499] [500] [501] [502] [503] [504] [505] [506] [507]
Overfull \hbox (4.33388pt too wide) in paragraph at lines 31353--31354
[]\OT1/cmr/m/n/10 For an el-e-men-tary ex-po-si-tion of the back-ground of this
re-sult, see G. Gr^^?atzer
<ch7/VII3f1.pdf, id=3972, 353.32pt x 276.03125pt> <use ch7/VII3f1.pdf> [508]
[509 <./ch7/VII3f1.pdf>] [510]
<ch7/complement.pdf, id=3994, 79.29625pt x 110.4125pt>
<use ch7/complement.pdf> [511]
Overfull \hbox (10.65948pt too wide) detected at line 31565
\OML/cmm/m/it/10 I \OMS/cmsy/m/n/10 _ \OML/cmm/m/it/10 J \OT1/cmr/m/n/10 = []
[512 <./ch7/complement.pdf>] [513]
Overfull \hbox (0.28056pt too wide) in paragraph at lines 31699--31701
[]\OT1/cmr/m/n/10 Thus $\OML/cmm/m/it/10 B[] \OMS/cmsy/m/n/10 ^^T \OT1/cmr/m/n/
10 1 = \OML/cmm/m/it/10 B[]$\OT1/cmr/m/n/10 , that is, $\OML/cmm/m/it/10 B \OMS
/cmsy/m/n/10 ^^Q \OT1/cmr/m/n/10 1$. Then $\OML/cmm/m/it/10 A \OMS/cmsy/m/n/10
^^Q \OT1/cmr/m/n/10 0$, and so $\OMS/cmsy/m/n/10 f[]\OT1/cmr/m/n/10 (\OML/cmm/m
/it/10 A\OT1/cmr/m/n/10 )\OML/cmm/m/it/10 ; []\OT1/cmr/m/n/10 (\OML/cmm/m/it/10
B\OT1/cmr/m/n/10 )\OMS/cmsy/m/n/10 g \OT1/cmr/m/n/10 =
[514] [515]
Overfull \hbox (5.64417pt too wide) in paragraph at lines 31826--31829
[][]\OT1/cmr/m/n/10 Prove that $\OML/cmm/m/it/10 '\OT1/cmr/m/n/10 (\OML/cmm/m/i
t/10 b[]\OT1/cmr/m/n/10 ) = \OML/cmm/m/it/10 b[]$ \OT1/cmr/m/n/10 for all $\OML
/cmm/m/it/10 n \OT1/cmr/m/n/10 = 1\OML/cmm/m/it/10 ; \OT1/cmr/m/n/10 2\OML/cmm/
m/it/10 ; []$ \OT1/cmr/m/n/10 Con-clude that $(\OML/cmm/m/it/10 A\OT1/cmr/m/n/1
0 ; \OML/cmm/m/it/10 R[]; R[]; []\OT1/cmr/m/n/10 )$
Overfull \hbox (1.02269pt too wide) in paragraph at lines 31831--31833
[][]\OT1/cmr/m/n/10 Given a sys-tem $(\OML/cmm/m/it/10 A\OT1/cmr/m/n/10 ; \OML/
cmm/m/it/10 R[]; R[]; []\OT1/cmr/m/n/10 )$, we con-struct a new one $(\OML/cmm/
m/it/10 B\OT1/cmr/m/n/10 ; \OML/cmm/m/it/10 S[]; S[]; []\OT1/cmr/m/n/10 )$
[516] [517] <ch7/VII3f2.pdf, id=4026, 147.55125pt x 161.60374pt>
<use ch7/VII3f2.pdf> [518 <./ch7/VII3f2.pdf>]
Overfull \hbox (1.46364pt too wide) in paragraph at lines 32024--32025
[][]\OT1/cmr/m/n/10 Show that an atomic uniquely com-ple-mented lat-tice is boo
lean. (Hint:
[519] [520] [521] [522] [523] [524] [525] [526] [527]
Overfull \hbox (2.94582pt too wide) in paragraph at lines 32559--32573
\OT1/cmr/m/n/10 W.A. Lampe[], R.W. Quack-en-bush[], I. Ri-val[], and the group
co-or-di-na-tor, R. Pad-
[528] [529] [530] [531] [532] [533] [534] [535] [536] [537] [538] [539]
[540] [541] [542] [543] [544] [545] [546] [547] [548] [549] [550] [551]
[552] [553] [554] [555] [556] [557] [558] [559] [560] [561]
Underfull \hbox (badness 1360) in paragraph at lines 35185--35189
[][][]\OT1/cmr/m/n/10 , []Uber eine Kon-struk-tion der dis-tribu-tiven pseu-dok
om-ple-
[562]
Underfull \hbox (badness 1205) in paragraph at lines 35248--35252
[][]\OT1/cmr/m/n/10 M. Kin-der-mann, []Uber die []Aquivalenz von Ordnungspolyno
m-voll-
[563] [564] [565] [566] [567] [568] [569] [570] [571] [572] [573]
Underfull \hbox (badness 1859) in paragraph at lines 36129--36132
[][][]\OT1/cmr/m/n/10 , Zusam-menset-zung von Schwest-er-per-spek-tivit^^?aten
in Ver-
[574] [575] [576] [577] [578] [579] [580] [581] (./LTFoundation.ind
Overfull \hbox (1.80598pt too wide) in paragraph at lines 40--41
[]\OT1/cmr/m/n/10 Amalgamation Prop-erty, 448--459, 472
Overfull \hbox (1.38913pt too wide) in paragraph at lines 53--55
[]\OT1/cmr/m/n/10 Arguesian iden-tity, \OT1/cmr/bx/n/10 363\OT1/cmr/m/n/10 , 37
4, 377--379,
[582]
Overfull \hbox (1.8059pt too wide) in paragraph at lines 103--104
[]\OT1/cmr/m/n/10 Bi-uniquely com-ple-mented lat-tice, 519
[583]
Overfull \hbox (10.30574pt too wide) in paragraph at lines 190--191
[]| \OT1/cmr/m/n/10 sec-tion-ally com-ple-mented, \OT1/cmr/bx/n/10 275\OT1/cmr/
m/n/10 , 276
[584]
Overfull \hbox (2.25035pt too wide) in paragraph at lines 260--261
[]\OT1/cmr/m/n/10 Complete Sub-sti-tu-tion Prop-er-ties, 286
Overfull \hbox (0.70866pt too wide) in paragraph at lines 273--274
[]\OT1/cmr/m/n/10 Conditionally $\OMS/cmsy/m/n/10 @[]$\OT1/cmr/m/n/10 -meet-con
tinuous lat-
Overfull \hbox (3.22247pt too wide) in paragraph at lines 285--286
[]| \OT1/cmr/m/n/10 fully in-vari-ant, \OT1/cmr/bx/n/10 405\OT1/cmr/m/n/10 , 41
3, 417, 521,
[585]
Overfull \hbox (4.2781pt too wide) in paragraph at lines 323--324
[]\OT1/cmr/m/n/10 Congruence-permutable ex-ten-sion, 295
Overfull \hbox (8.56955pt too wide) in paragraph at lines 351--353
\OT1/cmr/m/n/10 Projective Ge-om-e-try, 379, \OT1/cmr/bx/n/10 389
Overfull \hbox (2.50035pt too wide) in paragraph at lines 367--368
[]\OT1/cmr/m/n/10 Cover-preserving join-homomorphism,
Overfull \hbox (2.91695pt too wide) in paragraph at lines 381--382
[]| \OT1/cmr/m/n/10 with no com-pa-ra-ble com-ple-ments,
[586]
Overfull \hbox (1.55583pt too wide) in paragraph at lines 401--402
[]| \OT1/cmr/m/n/10 pseu-do-com-ple-mented semi-lat-tice,
Overfull \hbox (5.72244pt too wide) in paragraph at lines 409--410
[]\OT1/cmr/m/n/10 Descending Chain Con-di-tion, 105, \OT1/cmr/bx/n/10 105\OT1/c
mr/m/n/10 ,
Overfull \hbox (0.19473pt too wide) in paragraph at lines 422--423
[]\OT1/cmr/m/n/10 Dilworth's Chain De-com-po-si-tion The-
Overfull \hbox (0.16739pt too wide) in paragraph at lines 423--426
[]\OT1/cmr/m/n/10 Dilworth, R.P., 19, 114, 203, 241, 257,
Overfull \hbox (9.36133pt too wide) in paragraph at lines 452--454
[]| \OT1/cmr/m/n/10 join-semilattice, 148, 166, \OT1/cmr/bx/n/10 166\OT1/cmr/m/
n/10 , 167,
[587] [588]
Overfull \hbox (4.11136pt too wide) in paragraph at lines 572--573
[]\OT1/cmr/m/n/10 Finitely pre-sented lat-tice, \OT1/cmr/bx/n/10 91\OT1/cmr/m/n
/10 , 520, 521,
Overfull \hbox (3.19481pt too wide) in paragraph at lines 604--605
[]| \OT1/cmr/m/n/10 dis-tribu-tive, 83, 127, 128, 130, 186
Overfull \hbox (5.41695pt too wide) in paragraph at lines 609--610
[]\OT1/cmr/m/n/10 Freely R-generated gen-er-al-ized boolean
Overfull \hbox (5.36134pt too wide) in paragraph at lines 615--616
[]\OT1/cmr/m/n/10 Frink's Em-bed-ding The-o-rem, 382, \OT1/cmr/bx/n/10 384\OT1/
cmr/m/n/10 ,
[589]
Overfull \hbox (1.45853pt too wide) in paragraph at lines 641--642
[]\OT1/cmr/m/n/10 Generalized boolean lat-tice, \OT1/cmr/bx/n/10 124\OT1/cmr/m/
n/10 , 142--
Overfull \hbox (1.76465pt too wide) in paragraph at lines 665--666
[]\OT1/cmr/m/n/10 Gorbunov, V.A., 54, 91, 245, 279, 426,
Overfull \hbox (1.0282pt too wide) in paragraph at lines 702--704
[]\OT1/cmr/m/n/10 Hashimoto, J., 114, 119, 125, 142, 147,
[590]
Overfull \hbox (6.33357pt too wide) in paragraph at lines 779--780
[]| \OT1/cmr/m/n/10 ar-gue-sian, \OT1/cmr/bx/n/10 363\OT1/cmr/m/n/10 , 374, 377
--379, 384--
Overfull \hbox (6.88919pt too wide) in paragraph at lines 782--783
[]| \OT1/cmr/m/n/10 Com-plete In-fi-nite Dis-tribu-tive, 163
[591]
Overfull \hbox (3.0002pt too wide) in paragraph at lines 857--859
[]| \OT1/cmr/m/n/10 dis-tribu-tive, 148, 166, \OT1/cmr/bx/n/10 166\OT1/cmr/m/n/
10 , 167,
[592]
Overfull \hbox (1.52803pt too wide) in paragraph at lines 941--943
[]| \OT1/cmr/m/n/10 al-ge-braic, 47, \OT1/cmr/bx/n/10 52\OT1/cmr/m/n/10 , 53, 5
8, 114, 145,
Overfull \hbox (3.19467pt too wide) in paragraph at lines 952--953
[]| \OT1/cmr/m/n/10 atom-istic, \OT1/cmr/bx/n/10 101\OT1/cmr/m/n/10 , 233, 234,
275, 282,
Overfull \hbox (1.50029pt too wide) in paragraph at lines 954--958
[]| \OT1/cmr/m/n/10 boolean, 15, \OT1/cmr/bx/n/10 98\OT1/cmr/m/n/10 , 99, 105,
113, 118,
[593]
Overfull \hbox (3.48642pt too wide) in paragraph at lines 973--974
[]| \OT1/cmr/m/n/10 con-di-tion-ally $\OMS/cmsy/m/n/10 @[]$\OT1/cmr/m/n/10 -mee
t-continuous,
Overfull \hbox (5.86142pt too wide) in paragraph at lines 983--984
[]| \OT1/cmr/m/n/10 count-able gen-er-al-ized boolean, 159
Overfull \hbox (6.52809pt too wide) in paragraph at lines 1006--1007
[]| \OT1/cmr/m/n/10 finitely sub-di-rectly ir-re-ducible, 416
Overfull \hbox (4.917pt too wide) in paragraph at lines 1011--1012
[]| \OT1/cmr/m/n/10 gen-er-al-ized boolean, 143, 144, 156,
Overfull \hbox (5.16689pt too wide) in paragraph at lines 1012--1014
[]| \OT1/cmr/m/n/10 ge-o-met-ric, 333, \OT1/cmr/bx/n/10 337\OT1/cmr/m/n/10 , 33
7--354, 356,
Overfull \hbox (5.27817pt too wide) in paragraph at lines 1031--1032
[]| \OT1/cmr/m/n/10 lo-cally poly-no-mi-ally com-plete, 133
[594]
Overfull \hbox (0.61139pt too wide) in paragraph at lines 1044--1045
[]| \OT1/cmr/m/n/10 sec-tion-ally com-ple-mented, 308,
Overfull \hbox (1.30585pt too wide) in paragraph at lines 1054--1056
[]| \OT1/cmr/m/n/10 par-tial, 83, \OT1/cmr/bx/n/10 84\OT1/cmr/m/n/10 , 87--90,
93--97, 175,
Overfull \hbox (1.27803pt too wide) in paragraph at lines 1056--1057
[]| \OT1/cmr/m/n/10 par-ti-tion, 335, \OT1/cmr/bx/n/10 355\OT1/cmr/m/n/10 , 354
--368, 420,
Overfull \hbox (9.55582pt too wide) in paragraph at lines 1060--1061
[]| \OT1/cmr/m/n/10 pseu-do-com-ple-mented, \OT1/cmr/bx/n/10 99\OT1/cmr/m/n/10
, 104--107,
Overfull \hbox (1.75021pt too wide) in paragraph at lines 1064--1067
[]| \OT1/cmr/m/n/10 rel-a-tively com-ple-mented, \OT1/cmr/bx/n/10 98\OT1/cmr/m/
n/10 , 111,
Overfull \hbox (7.33356pt too wide) in paragraph at lines 1072--1074
[]| \OT1/cmr/m/n/10 sec-tion-ally com-ple-mented, \OT1/cmr/bx/n/10 98\OT1/cmr/m
/n/10 , 146,
Overfull \hbox (1.44478pt too wide) in paragraph at lines 1075--1076
[]| \OT1/cmr/m/n/10 sec-tion-ally de-com-pos-ing, 233, 234
Overfull \hbox (4.41685pt too wide) in paragraph at lines 1096--1097
[]| \OT1/cmr/m/n/10 uniquely com-ple-mented, \OT1/cmr/bx/n/10 507\OT1/cmr/m/n/1
0 , 508,
Overfull \hbox (4.2503pt too wide) in paragraph at lines 1097--1098
[]| \OT1/cmr/m/n/10 uniquely rel-a-tively com-ple-mented,
Overfull \hbox (2.91695pt too wide) in paragraph at lines 1107--1108
[]| \OT1/cmr/m/n/10 with no com-pa-ra-ble com-ple-ments,
[595]
Overfull \hbox (3.94478pt too wide) in paragraph at lines 1108--1109
[]| \OT1/cmr/m/n/10 with pseu-do-com-ple-men-ta-tion, 186
[596]
Overfull \hbox (8.05588pt too wide) in paragraph at lines 1243--1244
[]| \OT1/cmr/m/n/10 sec-tion-ally com-ple-mented, 308, 368
[597]
Overfull \hbox (0.9169pt too wide) in paragraph at lines 1292--1293
[]| \OT1/cmr/m/n/10 ideal, \OT1/cmr/bx/n/10 228\OT1/cmr/m/n/10 , 228--237, 239,
240, 247
Overfull \hbox (8.97253pt too wide) in paragraph at lines 1299--1300
[]\OT1/cmr/m/n/10 Nondegenerate pro-jec-tive ge-om-e-try, 373
Overfull \hbox (1.00035pt too wide) in paragraph at lines 1301--1302
[]\OT1/cmr/m/n/10 Nondistributive va-ri-ety of lat-tices, 296
Overfull \hbox (4.16702pt too wide) in paragraph at lines 1353--1354
[]| \OT1/cmr/m/n/10 poly-no-mi-ally com-plete lat-tice, 134
[598]
Overfull \hbox (0.27808pt too wide) in paragraph at lines 1398--1399
[]\OT1/cmr/m/n/10 Permutable con-gru-ence re-la-tions, 125,
Overfull \hbox (0.7785pt too wide) in paragraph at lines 1438--1439
[]\OT1/cmr/m/n/10 Priestley, H.A., 52, 165, 179, 428, 429,
[599]
Overfull \hbox (2.38911pt too wide) in paragraph at lines 1465--1466
[]| \OT1/cmr/m/n/10 ge-om-e-try, 373, \OT1/cmr/bx/n/10 373\OT1/cmr/m/n/10 , 374
, 377--379,
Overfull \hbox (6.75041pt too wide) in paragraph at lines 1483--1484
[]\OT1/cmr/m/n/10 Pseudocomplementation, 103, 188, 196,
Overfull \hbox (3.58406pt too wide) in paragraph at lines 1494--1496
[]\OT1/cmr/m/n/10 Quackenbush, R.W., 63, 103, 253, 254,
[600]
Overfull \hbox (8.88911pt too wide) in paragraph at lines 1535--1538
[]| \OT1/cmr/m/n/10 com-ple-mented lat-tice, \OT1/cmr/bx/n/10 98\OT1/cmr/m/n/10
, 111, 124,
[601]
Overfull \hbox (4.61139pt too wide) in paragraph at lines 1616--1618
[]| \OT1/cmr/m/n/10 lat-tice, \OT1/cmr/bx/n/10 98\OT1/cmr/m/n/10 , 146, 214, 23
3--235, 241,
[602]
Overfull \hbox (3.63905pt too wide) in paragraph at lines 1739--1740
[]| \OT1/cmr/m/n/10 congruence-determining, \OT1/cmr/bx/n/10 212\OT1/cmr/m/n/10
, 328
[603] [604]
Overfull \hbox (3.11145pt too wide) in paragraph at lines 1890--1892
\OT1/cmr/m/n/10 92, 95, 197, 321, 403--459, 464
Overfull \hbox (3.00026pt too wide) in paragraph at lines 1920--1922
[]\OT1/cmr/m/n/10 Weakly mod-u-lar lat-tice, \OT1/cmr/bx/n/10 213\OT1/cmr/m/n/1
0 , 223, 224,
[605] [606]) (./LTFoundation.aux)
LaTeX Font Warning: Size substitutions with differences
(Font) up to 23.12pt have occurred.
)
(see the transcript file for additional information)</usr/local/texlive/2009/te
xmf-dist/fonts/type1/public/amsfonts/cm/cmbsy10.pfb></usr/local/texlive/2009/te
xmf-dist/fonts/type1/public/amsfonts/cmextra/cmbsy5.pfb></usr/local/texlive/200
9/texmf-dist/fonts/type1/public/amsfonts/cmextra/cmbsy7.pfb></usr/local/texlive
/2009/texmf-dist/fonts/type1/public/amsfonts/cm/cmbx10.pfb></usr/local/texlive/
2009/texmf-dist/fonts/type1/public/amsfonts/cm/cmbx12.pfb></usr/local/texlive/2
009/texmf-dist/fonts/type1/public/amsfonts/cm/cmbx5.pfb></usr/local/texlive/200
9/texmf-dist/fonts/type1/public/amsfonts/cm/cmbx7.pfb></usr/local/texlive/2009/
texmf-dist/fonts/type1/public/amsfonts/cm/cmbxti10.pfb></usr/local/texlive/2009
/texmf-dist/fonts/type1/public/amsfonts/cm/cmex10.pfb></usr/local/texlive/2009/
texmf-dist/fonts/type1/public/amsfonts/cmextra/cmex7.pfb></usr/local/texlive/20
09/texmf-dist/fonts/type1/public/amsfonts/cm/cmmi10.pfb></usr/local/texlive/200
9/texmf-dist/fonts/type1/public/amsfonts/cm/cmmi12.pfb></usr/local/texlive/2009
/texmf-dist/fonts/type1/public/amsfonts/cm/cmmi5.pfb></usr/local/texlive/2009/t
exmf-dist/fonts/type1/public/amsfonts/cm/cmmi7.pfb></usr/local/texlive/2009/tex
mf-dist/fonts/type1/public/amsfonts/cm/cmmi8.pfb></usr/local/texlive/2009/texmf
-dist/fonts/type1/public/amsfonts/cm/cmmi9.pfb></usr/local/texlive/2009/texmf-d
ist/fonts/type1/public/amsfonts/cm/cmmib10.pfb></usr/local/texlive/2009/texmf-d
ist/fonts/type1/public/amsfonts/cmextra/cmmib5.pfb></usr/local/texlive/2009/tex
mf-dist/fonts/type1/public/amsfonts/cmextra/cmmib7.pfb></usr/local/texlive/2009
/texmf-dist/fonts/type1/public/amsfonts/cm/cmr10.pfb></usr/local/texlive/2009/t
exmf-dist/fonts/type1/public/amsfonts/cm/cmr12.pfb></usr/local/texlive/2009/tex
mf-dist/fonts/type1/public/amsfonts/cm/cmr17.pfb></usr/local/texlive/2009/texmf
-dist/fonts/type1/public/amsfonts/cm/cmr5.pfb></usr/local/texlive/2009/texmf-di
st/fonts/type1/public/amsfonts/cm/cmr6.pfb></usr/local/texlive/2009/texmf-dist/
fonts/type1/public/amsfonts/cm/cmr7.pfb></usr/local/texlive/2009/texmf-dist/fon
ts/type1/public/amsfonts/cm/cmr8.pfb></usr/local/texlive/2009/texmf-dist/fonts/
type1/public/amsfonts/cm/cmr9.pfb></usr/local/texlive/2009/texmf-dist/fonts/typ
e1/public/amsfonts/cm/cmss10.pfb></usr/local/texlive/2009/texmf-dist/fonts/type
1/public/amsfonts/cm/cmss8.pfb></usr/local/texlive/2009/texmf-dist/fonts/type1/
public/amsfonts/cm/cmsy10.pfb></usr/local/texlive/2009/texmf-dist/fonts/type1/p
ublic/amsfonts/cm/cmsy5.pfb></usr/local/texlive/2009/texmf-dist/fonts/type1/pub
lic/amsfonts/cm/cmsy7.pfb></usr/local/texlive/2009/texmf-dist/fonts/type1/publi
c/amsfonts/cm/cmsy8.pfb></usr/local/texlive/2009/texmf-dist/fonts/type1/public/
amsfonts/cm/cmti10.pfb></usr/local/texlive/2009/texmf-dist/fonts/type1/public/a
msfonts/cm/cmti12.pfb></usr/local/texlive/2009/texmf-dist/fonts/type1/public/am
sfonts/cm/cmti7.pfb></usr/local/texlive/2009/texmf-dist/fonts/type1/public/amsf
onts/cm/cmti8.pfb></usr/local/texlive/2009/texmf-dist/fonts/type1/public/amsfon
ts/cm/cmtt10.pfb></usr/local/texlive/2009/texmf-dist/fonts/type1/public/amsfont
s/euler/eufm10.pfb></usr/local/texlive/2009/texmf-dist/fonts/type1/public/amsfo
nts/euler/eufm7.pfb></usr/local/texlive/2009/texmf-dist/fonts/type1/public/amsf
onts/euler/eusm10.pfb></usr/local/texlive/2009/texmf-dist/fonts/type1/public/am
sfonts/latxfont/lcircle1.pfb></usr/local/texlive/2009/texmf-dist/fonts/type1/pu
blic/amsfonts/latxfont/lcmss8.pfb></usr/local/texlive/2009/texmf-dist/fonts/typ
e1/public/amsfonts/latxfont/line10.pfb></usr/local/texlive/2009/texmf-dist/font
s/type1/public/amsfonts/symbols/msam10.pfb></usr/local/texlive/2009/texmf-dist/
fonts/type1/public/amsfonts/symbols/msbm10.pfb></usr/local/texlive/2009/texmf-d
ist/fonts/type1/public/amsfonts/symbols/msbm7.pfb>
Output written on LTFoundation.pdf (632 pages, 4373335 bytes).
SyncTeX written on LTFoundation.synctex.gz
Transcript written on LTFoundation.log.
On 2010-08-17, at 7:06 PM, Robert wrote:
> Hi George,
>
> this is still not enough information, I'm afraid. I've just tested a document using the packages you list with a 1000 pages of text, but this still does not yield the exponential time consumption you experience. So something else must be going wrong. Maybe you could send me (privately) your document if the contents aren't confidential? Or else, could you post the log file with microtype loaded with the `verbose' option?
>
> Regards,
> Robert
>
> PS. Shall we stay on the Mac OS X list?
>
>
> On 15.08.10 23:11, George Gratzer wrote:
>> My book is 606 pages long. It is a single file plus the .ind file and125 pdf illustrations.
>>
>> Here are the packages used:
>>
>> amsmath
>> amsthm
>> amsxtra
>> \RequirePackage[mathscr]{eucal
>> amssymb
>> latexsym
>> amscd
>> graphicx
>> color
>> mdwlist
>> chngcntr
>> color
>> booktabs
>> \usepackage{url
>> fixltx2e
>> verbatim
>> enumerate
>> xspace
>>
>> Typeset time as reported by "time":
>>
>> real 0m2.595s
>> user 0m2.527s
>> sys 0m0.063s
>>
>> that is, 3 secs. pdf file is 4.4 MB.
>>
>> Now if I use the microtype package( the book is now 3 pages shorter):
>>
>> real 0m35.443s
>> user 0m35.155s
>> sys 0m0.115s
>>
>> typesetting is over 35 secs. pdf file is 4.6 MB.
>>
>> My iMac has 8GB memory; the whole ms with illustrations is
>> tiny in comparison: about 40 MB.
>>
>> Anything I could do to speed up this typesetting?
>>
>> GG
>>
>>
>>
>>
>>
>>
>> ----------- Please Consult the Following Before Posting -----------
>> TeX FAQ: http://www.tex.ac.uk/faq
>> List Reminders and Etiquette: http://email.esm.psu.edu/mac-tex/
>> List Archive: http://tug.org/pipermail/macostex-archives/
>> TeX on Mac OS X Website: http://mactex-wiki.tug.org/
>> List Info: http://email.esm.psu.edu/mailman/listinfo/macosx-tex
>>
>
> ----------- Please Consult the Following Before Posting -----------
> TeX FAQ: http://www.tex.ac.uk/faq
> List Reminders and Etiquette: http://email.esm.psu.edu/mac-tex/
> List Archive: http://tug.org/pipermail/macostex-archives/
> TeX on Mac OS X Website: http://mactex-wiki.tug.org/
> List Info: http://email.esm.psu.edu/mailman/listinfo/macosx-tex
>
More information about the MacOSX-TeX
mailing list