This is pdfTeX, Version 3.1415926-1.40.10 (TeX Live 2009/Debian) (format=pdflatex 2011.4.4) 19 JUL 2011 11:10 entering extended mode %&-line parsing enabled. **soln09 (./soln09.tex LaTeX2e <2009/09/24> Babel and hyphenation patterns for english, usenglishmax, dumylang, noh yphenation, farsi, arabic, croatian, bulgarian, ukrainian, russian, czech, slov ak, danish, dutch, finnish, french, basque, ngerman, german, german-x-2009-06-1 9, ngerman-x-2009-06-19, ibycus, monogreek, greek, ancientgreek, hungarian, san skrit, italian, latin, latvian, lithuanian, mongolian2a, mongolian, bokmal, nyn orsk, romanian, irish, coptic, serbian, turkish, welsh, esperanto, uppersorbian , estonian, indonesian, interlingua, icelandic, kurmanji, slovenian, polish, po rtuguese, spanish, galician, catalan, swedish, ukenglish, pinyin, loaded. 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LaTeX Font Info: Checking defaults for OML/cmm/m/it on input line 235. LaTeX Font Info: ... okay on input line 235. LaTeX Font Info: Checking defaults for T1/cmr/m/n on input line 235. LaTeX Font Info: ... okay on input line 235. LaTeX Font Info: Checking defaults for OT1/cmr/m/n on input line 235. LaTeX Font Info: ... okay on input line 235. LaTeX Font Info: Checking defaults for OMS/cmsy/m/n on input line 235. LaTeX Font Info: ... okay on input line 235. LaTeX Font Info: Checking defaults for OMX/cmex/m/n on input line 235. LaTeX Font Info: ... okay on input line 235. LaTeX Font Info: Checking defaults for U/cmr/m/n on input line 235. LaTeX Font Info: ... okay on input line 235. LaTeX Font Info: Try loading font information for U+msa on input line 235. (/usr/share/texmf-texlive/tex/latex/amsfonts/umsa.fd File: umsa.fd 2009/06/22 v3.00 AMS symbols A ) LaTeX Font Info: Try loading font information for U+msb on input line 235. (/usr/share/texmf-texlive/tex/latex/amsfonts/umsb.fd File: umsb.fd 2009/06/22 v3.00 AMS symbols B ) LaTeX Font Info: Try loading font information for U+lasy on input line 235. (/usr/share/texmf-texlive/tex/latex/base/ulasy.fd File: ulasy.fd 1998/08/17 v2.2e LaTeX symbol font definitions ) Underfull \vbox (badness 3039) has occurred while \output is active [] [1{/var/lib/texmf/fonts/map/pdftex/updmap/pdftex.map}] Underfull \vbox (badness 4913) has occurred while \output is active [] [2] Overfull \hbox (8.94878pt too wide) in paragraph at lines 457--468 \OT1/cmr/m/n/12 (d) [\OT1/cmr/m/it/12 Un-seen\OT1/cmr/m/n/12 ]. De-fine $\OML/c mm/m/it/12 x[]$ \OT1/cmr/m/n/12 to be the se-quence $1\OML/cmm/m/it/12 ; p; [] [] [] ; p; p[]; [] [] [] ; p[]; []$ [] [3] Package amsmath Warning: Foreign command \over; (amsmath) \frac or \genfrac should be used instead (amsmath) on input line 587. [4] Overfull \hbox (1.95401pt too wide) in paragraph at lines 631--635 []\OT1/cmr/m/n/12 We con-clude that $[]\OML/cmm/m/it/12 q \OT1/cmr/m/n/12 = \OM S/cmsy/m/n/12 f\OT1/cmr/m/n/12 1\OML/cmm/m/it/12 ; \OT1/cmr/m/n/12 5\OMS/cmsy/m /n/12 g$ \OT1/cmr/m/n/12 and that $\OMS/cmsy/m/n/12 D\OT1/cmr/m/n/12 (\U/msb/m/ n/12 Q\OT1/cmr/m/n/12 )\OML/cmm/m/it/12 =^^^\OT1/cmr/m/n/12 (\OMS/cmsy/m/n/12 C \OT1/cmr/m/n/12 (\U/msb/m/n/12 Q\OT1/cmr/m/n/12 )) = \OMS/cmsy/m/n/12 f\OT1/cmr /bx/n/12 o\OML/cmm/m/it/12 ; \OT1/cmr/m/n/12 (0\OML/cmm/m/it/12 ; \OT1/cmr/m/n/ 12 0)\OMS/cmsy/m/n/12 g$\OT1/cmr/m/n/12 , and so $\OMS/cmsy/m/n/12 D\OT1/cmr/m/ n/12 (\U/msb/m/n/12 Q\OT1/cmr/m/n/12 )\OML/cmm/m/it/12 =^^^\OT1/cmr/m/n/12 (\OM S/cmsy/m/n/12 C\OT1/cmr/m/n/12 (\U/msb/m/n/12 Q\OT1/cmr/m/n/12 ))$ [] Overfull \hbox (6.42259pt too wide) in paragraph at lines 636--648 \OML/cmm/m/it/12 a[] \OMS/cmsy/m/n/12 ^^@ \OT1/cmr/m/n/12 4\OML/cmm/m/it/12 b[] \OT1/cmr/m/n/12 = \OML/cmm/m/it/12 b$ \OT1/cmr/m/n/12 and $[] : \OT1/cmr/bx/n/ 12 o \OMS/cmsy/m/n/12 7! \OT1/cmr/m/n/12 1$, is an in-jec-tion with $[][]$ con- tained in $\OMS/cmsy/m/n/12 f\OML/cmm/m/it/12 d \OT1/cmr/m/n/12 : \OML/cmm/m/it /12 d[]d\OMS/cmsy/m/n/12 j\OML/cmm/m/it/12 b\OMS/cmsy/m/n/12 g \OT1/cmr/m/n/12 = [] Overfull \hbox (1.99297pt too wide) in paragraph at lines 685--693 \OML/cmm/m/it/12 d[]d\OMS/cmsy/m/n/12 j\OML/cmm/m/it/12 b[]\OMS/cmsy/m/n/12 g \ OT1/cmr/m/n/12 = \OMS/cmsy/m/n/12 f^^F\OT1/cmr/m/n/12 1\OML/cmm/m/it/12 ; \OMS/ cmsy/m/n/12 ^^F\OT1/cmr/m/n/12 2\OML/cmm/m/it/12 ; \OMS/cmsy/m/n/12 ^^F\OML/cmm /m/it/12 p; \OMS/cmsy/m/n/12 ^^F\OT1/cmr/m/n/12 2\OML/cmm/m/it/12 p\OMS/cmsy/m/ n/12 g$\OT1/cmr/m/n/12 . Hence, $\OMS/cmsy/m/n/12 f\OT1/cmr/m/n/12 1\OML/cmm/m/ it/12 ; \OMS/cmsy/m/n/12 ^^@\OML/cmm/m/it/12 p\OMS/cmsy/m/n/12 g ^^Z []\OML/cmm /m/it/12 q \OMS/cmsy/m/n/12 ^^Z f^^F\OT1/cmr/m/n/12 1\OML/cmm/m/it/12 ; \OMS/cm sy/m/n/12 ^^F\OT1/cmr/m/n/12 2\OML/cmm/m/it/12 ; \OMS/cmsy/m/n/12 ^^F\OML/cmm/m /it/12 p; \OMS/cmsy/m/n/12 ^^F\OT1/cmr/m/n/12 2\OML/cmm/m/it/12 p\OMS/cmsy/m/n/ 12 g$\OT1/cmr/m/n/12 . [] Underfull \vbox (badness 4913) has occurred while \output is active [] [5] Overfull \hbox (6.42259pt too wide) in paragraph at lines 698--717 \OML/cmm/m/it/12 a[] \OMS/cmsy/m/n/12 ^^@ \OT1/cmr/m/n/12 4\OML/cmm/m/it/12 b[] \OT1/cmr/m/n/12 = \OML/cmm/m/it/12 b$ \OT1/cmr/m/n/12 and $[] : \OT1/cmr/bx/n/ 12 o \OMS/cmsy/m/n/12 7! \OT1/cmr/m/n/12 1$, is an in-jec-tion with $[][]$ con- tained in $\OMS/cmsy/m/n/12 f\OML/cmm/m/it/12 d \OT1/cmr/m/n/12 : \OML/cmm/m/it /12 d[]d\OMS/cmsy/m/n/12 j\OML/cmm/m/it/12 b\OMS/cmsy/m/n/12 g \OT1/cmr/m/n/12 = [] [6] [7] (./soln09.aux) ) Here is how much of TeX's memory you used: 1824 strings out of 493848 18714 string characters out of 1152824 75555 words of memory out of 3000000 4960 multiletter control sequences out of 15000+50000 11604 words of font info for 46 fonts, out of 3000000 for 9000 875 hyphenation exceptions out of 8191 34i,8n,26p,257b,220s stack positions out of 5000i,500n,10000p,200000b,50000s Output written on soln09.pdf (7 pages, 188999 bytes). 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