This is pdfTeX, Version 3.1415926-1.40.10 (TeX Live 2009/Debian) (format=pdflatex 2011.5.7) 16 AUG 2013 19:51 entering extended mode %&-line parsing enabled. **algebraI.tex gpl.tex (./algebraI.tex LaTeX2e <2009/09/24> Babel and hyphenation patterns for english, usenglishmax, dumylang, noh yphenation, loaded. (/usr/share/texmf-texlive/tex/latex/base/article.cls Document Class: article 2007/10/19 v1.4h Standard LaTeX document class (/usr/share/texmf-texlive/tex/latex/base/size10.clo File: size10.clo 2007/10/19 v1.4h 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 ) (./amath.sty (./prova.sty \pfindent=\skip43 \pftopsep=\skip44 \pfbotsep=\skip45 \pfsep=\skip46 \stepsep=\skip47 \pfbox=\box26 \c@pfhidelevel=\count87 \pfshortNumberLevel=\count88 \c@pf@sidenumberdepth=\count89 \pf@sidenumberoutdent=\skip48 \pfLevelCount=\count90 \pfStepCount=\count91 \pf@outdent=\skip49 \c@pf@conjCounter=\count92 \c@pfenum=\count93 \c@pfenumdepth=\count94 \enumindent=\skip50 \c@pfenumi=\count95 \c@pfenumii=\count96 \c@pfenumiii=\count97 ) (/usr/share/texmf-texlive/tex/latex/graphics/color.sty Package: color 2005/11/14 v1.0j Standard LaTeX Color (DPC) (/etc/texmf/tex/latex/config/color.cfg File: color.cfg 2007/01/18 v1.5 color configuration of teTeX/TeXLive ) Package color Info: Driver file: pdftex.def on input line 130. (/usr/share/texmf-texlive/tex/latex/pdftex-def/pdftex.def File: pdftex.def 2009/08/25 v0.04m Graphics/color for pdfTeX \Gread@gobject=\count98 )) (/usr/share/texmf-texlive/tex/latex/graphics/graphicx.sty Package: graphicx 1999/02/16 v1.0f Enhanced LaTeX Graphics (DPC,SPQR) (/usr/share/texmf-texlive/tex/latex/graphics/keyval.sty Package: keyval 1999/03/16 v1.13 key=value parser (DPC) \KV@toks@=\toks14 ) (/usr/share/texmf-texlive/tex/latex/graphics/graphics.sty Package: graphics 2009/02/05 v1.0o Standard LaTeX Graphics (DPC,SPQR) (/usr/share/texmf-texlive/tex/latex/graphics/trig.sty Package: trig 1999/03/16 v1.09 sin cos tan (DPC) ) (/etc/texmf/tex/latex/config/graphics.cfg File: graphics.cfg 2009/08/28 v1.8 graphics configuration of TeX Live ) Package graphics Info: Driver file: pdftex.def on input line 91. ) \Gin@req@height=\dimen103 \Gin@req@width=\dimen104 ) (/usr/share/texmf-texlive/tex/latex/amsmath/amsmath.sty Package: amsmath 2000/07/18 v2.13 AMS math features \@mathmargin=\skip51 For additional information on amsmath, use the `?' option. (/usr/share/texmf-texlive/tex/latex/amsmath/amstext.sty Package: amstext 2000/06/29 v2.01 (/usr/share/texmf-texlive/tex/latex/amsmath/amsgen.sty File: amsgen.sty 1999/11/30 v2.0 \@emptytoks=\toks15 \ex@=\dimen105 )) (/usr/share/texmf-texlive/tex/latex/amsmath/amsbsy.sty Package: amsbsy 1999/11/29 v1.2d \pmbraise@=\dimen106 ) (/usr/share/texmf-texlive/tex/latex/amsmath/amsopn.sty Package: amsopn 1999/12/14 v2.01 operator names ) \inf@bad=\count99 LaTeX Info: Redefining \frac on input line 211. \uproot@=\count100 \leftroot@=\count101 LaTeX Info: Redefining \overline on input line 307. \classnum@=\count102 \DOTSCASE@=\count103 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@=\box27 \strutbox@=\box28 \big@size=\dimen107 LaTeX Font Info: Redeclaring font encoding OML on input line 567. LaTeX Font Info: Redeclaring font encoding OMS on input line 568. \macc@depth=\count104 \c@MaxMatrixCols=\count105 \dotsspace@=\muskip10 \c@parentequation=\count106 \dspbrk@lvl=\count107 \tag@help=\toks16 \row@=\count108 \column@=\count109 \maxfields@=\count110 \andhelp@=\toks17 \eqnshift@=\dimen108 \alignsep@=\dimen109 \tagshift@=\dimen110 \tagwidth@=\dimen111 \totwidth@=\dimen112 \lineht@=\dimen113 \@envbody=\toks18 \multlinegap=\skip52 \multlinetaggap=\skip53 \mathdisplay@stack=\toks19 LaTeX Info: Redefining \[ on input line 2666. LaTeX Info: Redefining \] on input line 2667. ) (/usr/share/texmf-texlive/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=\skip54 \thm@postskip=\skip55 \thm@headsep=\skip56 \dth@everypar=\toks25 LaTeX Info: Redefining \qed on input line 283. ) (/usr/share/texmf-texlive/tex/latex/amsfonts/amssymb.sty Package: amssymb 2009/06/22 v3.00 (/usr/share/texmf-texlive/tex/latex/amsfonts/amsfonts.sty Package: amsfonts 2009/06/22 v3.00 Basic AMSFonts support \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 96. )) (/usr/share/texmf-texlive/tex/latex/jknapltx/mathrsfs.sty Package: mathrsfs 1996/01/01 Math RSFS package v1.0 (jk) \symrsfs=\mathgroup6 ) (/usr/share/texmf-texlive/tex/generic/xypic/xypic.sty (/usr/share/texmf-texlive/tex/generic/xypic/xy.sty (/usr/share/texmf-texlive/tex/generic/xypic/xy.tex Bootstrap'ing: catcodes, docmode, (/usr/share/texmf-texlive/tex/generic/xypic/xyrecat.tex) (/usr/share/texmf-texlive/tex/generic/xypic/xyidioms.tex) Xy-pic version 3.7 <1999/02/16> Copyright (c) 1991-1998 by Kristoffer H. Rose Xy-pic is free software: see the User's Guide for details. Loading kernel: messages; fonts; allocations: state, \X@c=\dimen114 \Y@c=\dimen115 \U@c=\dimen116 \D@c=\dimen117 \L@c=\dimen118 \R@c=\dimen119 \Edge@c=\toks26 \X@p=\dimen120 \Y@p=\dimen121 \U@p=\dimen122 \D@p=\dimen123 \L@p=\dimen124 \R@p=\dimen125 \Edge@p=\toks27 \X@origin=\dimen126 \Y@origin=\dimen127 \X@xbase=\dimen128 \Y@xbase=\dimen129 \X@ybase=\dimen130 \Y@ybase=\dimen131 \X@min=\dimen132 \Y@min=\dimen133 \X@max=\dimen134 \Y@max=\dimen135 \lastobjectbox@=\box29 \zerodotbox@=\box30 \almostz@=\dimen136 direction, \d@X=\dimen137 \d@Y=\dimen138 \K@=\count111 \KK@=\count112 \Direction=\count113 \K@dXdY=\dimen139 \K@dYdX=\dimen140 \xyread@=\read1 \xywrite@=\write3 \csp@=\count114 \quotPTK@=\dimen141 utility macros; pictures: \xy, positions, \swaptoks@@=\toks28 \connectobjectbox@@=\box31 objects, \styletoks@=\toks29 decorations; kernel objects: directionals, circles, text; options; algorithms: directions, edges, connections; Xy-pic loaded) LaTeX Warning: You have requested package `xypic', but the package provides `xy'. Package: xy 1999/02/16 Xy-pic version 3.7 ) (/usr/share/texmf-texlive/tex/generic/xypic/xyv2.tex Xy-pic option: Version 2 Compatibility v.3.4 Xy-pic Warning: `\stop' redefined. (/usr/share/texmf-texlive/tex/generic/xypic/xyframe.tex Xy-pic option: Frame and Bracket extension v.3.7 loaded) (/usr/share/texmf-texlive/tex/generic/xypic/xymatrix.tex Xy-pic option: Matrix feature v.3.4 \Row=\count115 \Col=\count116 \queue@=\toks30 \queue@@=\toks31 \qcount@=\count117 \qcount@@=\count118 \matrixsize@=\count119 loaded) (/usr/share/texmf-texlive/tex/generic/xypic/xyarrow.tex Xy-pic option: Arrow and Path feature v.3.5 path, \ar, loaded) loaded)) (/usr/share/texmf-texlive/tex/latex/pstricks/pst-node.sty (/usr/share/texmf-texlive/tex/latex/pstricks/pstricks.sty Package: pstricks 2008/11/26 v0.40 LaTeX wrapper for `PSTricks' (RN,HV) (/usr/share/texmf-texlive/tex/generic/pstricks/pstricks.tex `PSTricks' v1.29 <2009/05/19> (tvz) \pst@dima=\dimen142 \pst@dimb=\dimen143 \pst@dimc=\dimen144 \pst@dimd=\dimen145 \pst@dimg=\dimen146 \pst@dimh=\dimen147 \pst@hbox=\box32 \pst@boxg=\box33 \pst@cnta=\count120 \pst@cntb=\count121 \pst@cntc=\count122 \pst@cntd=\count123 \pst@cntg=\count124 \pst@cnth=\count125 \pst@toks=\toks32 (/usr/share/texmf-texlive/tex/generic/pstricks/pstricks.con) \psunit=\dimen148 \psxunit=\dimen149 \psyunit=\dimen150 \pslinewidth=\dimen151 \pst@customdefs=\toks33 \pslinearc=\dimen152 \everypsbox=\toks34 \psframesep=\dimen153 \pslabelsep=\dimen154 \pst@shift=\dimen155 \theoverlaybox=\box34 ) File: pstricks.tex 2009/05/19 v1.29 `PSTricks' (tvz,hv) (/usr/share/texmf/tex/latex/xcolor/xcolor.sty Package: xcolor 2007/01/21 v2.11 LaTeX color extensions (UK) (/etc/texmf/tex/latex/config/color.cfg File: color.cfg 2007/01/18 v1.5 color configuration of teTeX/TeXLive ) Package xcolor Info: Driver file: pdftex.def on input line 225. LaTeX Info: Redefining \color on input line 702. Package xcolor Info: Model `cmy' substituted by `cmy0' on input line 1337. Package xcolor Info: Model `hsb' substituted by `rgb' on input line 1341. Package xcolor Info: Model `RGB' extended on input line 1353. Package xcolor Info: Model `HTML' substituted by `rgb' on input line 1355. Package xcolor Info: Model `Hsb' substituted by `hsb' on input line 1356. Package xcolor Info: Model `tHsb' substituted by `hsb' on input line 1357. Package xcolor Info: Model `HSB' substituted by `hsb' on input line 1358. Package xcolor Info: Model `Gray' substituted by `gray' on input line 1359. Package xcolor Info: Model `wave' substituted by `hsb' on input line 1360. )) Package: pst-node 2006/01/01 package wrapper for pst-node.tex (/usr/share/texmf-texlive/tex/generic/pstricks/pst-node.tex v1.01, 2008/11/26 \psrow=\count126 \pscol=\count127 \psmatrixcnt=\count128 \psrowsep=\skip57 \pscolsep=\skip58 ) File: pst-node.tex 2008/11/26 1.01 `pst-node' (tvz) ) (/usr/share/texmf-texlive/tex/latex/tools/verbatim.sty Package: verbatim 2003/08/22 v1.5q LaTeX2e package for verbatim enhancements \every@verbatim=\toks35 \verbatim@line=\toks36 \verbatim@in@stream=\read2 ) (/usr/share/texmf-texlive/tex/latex/geometry/geometry.sty Package: geometry 2008/12/21 v4.2 Page Geometry (/usr/share/texmf-texlive/tex/generic/oberdiek/ifpdf.sty Package: ifpdf 2009/04/10 v2.0 Provides the ifpdf switch (HO) Package ifpdf Info: pdfTeX in pdf mode detected. ) (/usr/share/texmf-texlive/tex/generic/oberdiek/ifvtex.sty Package: ifvtex 2008/11/04 v1.4 Switches for detecting VTeX and its modes (HO) Package ifvtex Info: VTeX not detected. ) \Gm@cnth=\count129 \Gm@cntv=\count130 \c@Gm@tempcnt=\count131 \Gm@bindingoffset=\dimen156 \Gm@wd@mp=\dimen157 \Gm@odd@mp=\dimen158 \Gm@even@mp=\dimen159 \Gm@dimlist=\toks37 ) (/usr/share/texmf-texlive/tex/latex/base/makeidx.sty Package: makeidx 2000/03/29 v1.0m Standard LaTeX package ) \@indexfile=\write4 \openout4 = `algebraI.idx'. Writing index file algebraI.idx (/usr/share/texmf-texlive/tex/latex/hyperref/hyperref.sty Package: hyperref 2009/10/09 v6.79a Hypertext links for LaTeX (/usr/share/texmf-texlive/tex/generic/ifxetex/ifxetex.sty Package: ifxetex 2009/01/23 v0.5 Provides ifxetex conditional ) (/usr/share/texmf-texlive/tex/latex/oberdiek/hycolor.sty Package: hycolor 2009/10/02 v1.5 Code for color options of hyperref/bookmark (H O) (/usr/share/texmf-texlive/tex/latex/oberdiek/xcolor-patch.sty Package: xcolor-patch 2009/10/02 xcolor patch )) \@linkdim=\dimen160 \Hy@linkcounter=\count132 \Hy@pagecounter=\count133 (/usr/share/texmf-texlive/tex/latex/hyperref/pd1enc.def File: pd1enc.def 2009/10/09 v6.79a Hyperref: PDFDocEncoding definition (HO) ) (/usr/share/texmf-texlive/tex/generic/oberdiek/etexcmds.sty Package: etexcmds 2007/12/12 v1.2 Prefix for e-TeX command names (HO) (/usr/share/texmf-texlive/tex/generic/oberdiek/infwarerr.sty Package: infwarerr 2007/09/09 v1.2 Providing info/warning/message (HO) ) Package etexcmds Info: Could not find \expanded. (etexcmds) That can mean that you are not using pdfTeX 1.50 or (etexcmds) that some package has redefined \expanded. (etexcmds) In the latter case, load this package earlier. ) (/usr/share/texmf-texlive/tex/latex/latexconfig/hyperref.cfg File: hyperref.cfg 2002/06/06 v1.2 hyperref configuration of TeXLive ) (/usr/share/texmf-texlive/tex/latex/oberdiek/kvoptions.sty Package: kvoptions 2009/08/13 v3.4 Keyval support for LaTeX options (HO) (/usr/share/texmf-texlive/tex/generic/oberdiek/kvsetkeys.sty Package: kvsetkeys 2009/07/30 v1.5 Key value parser with default handler suppor t (HO) )) Package hyperref Info: Option `bookmarks' set `true' on input line 2864. Package hyperref Info: Option `bookmarksnumbered' set `false' on input line 286 4. Package hyperref Info: Option `bookmarksopen' set `true' on input line 2864. Package hyperref Info: Option `colorlinks' set `true' on input line 2864. Package hyperref Info: Hyper figures OFF on input line 2975. Package hyperref Info: Link nesting OFF on input line 2980. Package hyperref Info: Hyper index ON on input line 2983. Package hyperref Info: Plain pages OFF on input line 2990. Package hyperref Info: Backreferencing OFF on input line 2995. Implicit mode ON; LaTeX internals redefined Package hyperref Info: Bookmarks ON on input line 3191. (/usr/share/texmf-texlive/tex/latex/ltxmisc/url.sty \Urlmuskip=\muskip11 Package: url 2006/04/12 ver 3.3 Verb mode for urls, etc. ) LaTeX Info: Redefining \url on input line 3428. (/usr/share/texmf-texlive/tex/generic/oberdiek/bitset.sty Package: bitset 2007/09/28 v1.0 Data type bit set (HO) (/usr/share/texmf-texlive/tex/generic/oberdiek/intcalc.sty Package: intcalc 2007/09/27 v1.1 Expandable integer calculations (HO) ) (/usr/share/texmf-texlive/tex/generic/oberdiek/bigintcalc.sty Package: bigintcalc 2007/11/11 v1.1 Expandable big integer calculations (HO) (/usr/share/texmf-texlive/tex/generic/oberdiek/pdftexcmds.sty Package: pdftexcmds 2009/09/23 v0.6 LuaTeX support for pdfTeX utility functions (HO) (/usr/share/texmf-texlive/tex/generic/oberdiek/ifluatex.sty Package: ifluatex 2009/04/17 v1.2 Provides the ifluatex switch (HO) Package ifluatex Info: LuaTeX not detected. ) (/usr/share/texmf-texlive/tex/generic/oberdiek/ltxcmds.sty Package: ltxcmds 2009/08/05 v1.0 Some LaTeX kernel commands for general use (HO ) ) Package pdftexcmds Info: LuaTeX not detected. Package pdftexcmds Info: \pdf@primitive is available. Package pdftexcmds Info: \pdf@ifprimitive is available. ))) \Fld@menulength=\count134 \Field@Width=\dimen161 \Fld@charsize=\dimen162 \Field@toks=\toks38 Package hyperref Info: Hyper figures OFF on input line 4377. Package hyperref Info: Link nesting OFF on input line 4382. Package hyperref Info: Hyper index ON on input line 4385. Package hyperref Info: backreferencing OFF on input line 4392. Package hyperref Info: Link coloring ON on input line 4395. Package hyperref Info: Link coloring with OCG OFF on input line 4402. Package hyperref Info: PDF/A mode OFF on input line 4407. (/usr/share/texmf-texlive/tex/generic/oberdiek/atbegshi.sty Package: atbegshi 2008/07/31 v1.9 At begin shipout hook (HO) ) \Hy@abspage=\count135 \c@Item=\count136 \c@Hfootnote=\count137 ) *hyperref using driver hpdftex* (/usr/share/texmf-texlive/tex/latex/hyperref/hpdftex.def File: hpdftex.def 2009/10/09 v6.79a Hyperref driver for pdfTeX \Fld@listcount=\count138 ) \c@thm=\count139 \c@ax=\count140 \c@domanda=\count141 \c@question=\count142 \c@paradox=\count143 \c@statm=\count144 \c@oss=\count145 \c@numberedproof=\count146 \c@algo=\count147 \c@data=\count148 \c@rem=\count149 ) (./algebraI.aux) \openout1 = `algebraI.aux'. LaTeX Font Info: Checking defaults for OML/cmm/m/it on input line 29. LaTeX Font Info: ... okay on input line 29. LaTeX Font Info: Checking defaults for T1/cmr/m/n on input line 29. LaTeX Font Info: ... okay on input line 29. LaTeX Font Info: Checking defaults for OT1/cmr/m/n on input line 29. LaTeX Font Info: ... okay on input line 29. LaTeX Font Info: Checking defaults for OMS/cmsy/m/n on input line 29. LaTeX Font Info: ... okay on input line 29. LaTeX Font Info: Checking defaults for OMX/cmex/m/n on input line 29. LaTeX Font Info: ... okay on input line 29. LaTeX Font Info: Checking defaults for U/cmr/m/n on input line 29. LaTeX Font Info: ... okay on input line 29. LaTeX Font Info: Checking defaults for PD1/pdf/m/n on input line 29. LaTeX Font Info: ... okay on input line 29. (/usr/share/texmf-texlive/tex/context/base/supp-pdf.mkii [Loading MPS to PDF converter (version 2006.09.02).] \scratchcounter=\count150 \scratchdimen=\dimen163 \scratchbox=\box35 \nofMPsegments=\count151 \nofMParguments=\count152 \everyMPshowfont=\toks39 \MPscratchCnt=\count153 \MPscratchDim=\dimen164 \MPnumerator=\count154 \everyMPtoPDFconversion=\toks40 ) *geometry detected driver: dvips* -------------------- Geometry parameters paper: a4paper landscape: -- twocolumn: -- twoside: -- asymmetric: -- h-parts: 89.62709pt, 0.7\paperwidth , 89.6271pt (default) v-parts: 101.40665pt, 0.7\paperheight , 152.11pt (default) hmarginratio: 1:1 vmarginratio: 2:3 lines: -- heightrounded: -- bindingoffset: 0.0pt truedimen: -- includehead: -- includefoot: -- includemp: -- driver: dvips -------------------- Page layout dimensions and switches \paperwidth 597.50787pt \paperheight 845.04684pt \textwidth 418.25368pt \textheight 591.5302pt \oddsidemargin 17.3571pt \evensidemargin 17.3571pt \topmargin -7.86334pt \headheight 12.0pt \headsep 25.0pt \footskip 30.0pt \marginparwidth 57.0pt \marginparsep 11.0pt \columnsep 10.0pt \skip\footins 9.0pt plus 4.0pt minus 2.0pt \hoffset 0.0pt \voffset 0.0pt \mag 1000 (1in=72.27pt, 1cm=28.45pt) ----------------------- Package hyperref Info: Link coloring ON on input line 29. (/usr/share/texmf-texlive/tex/latex/hyperref/nameref.sty Package: nameref 2007/05/29 v2.31 Cross-referencing by name of section (/usr/share/texmf-texlive/tex/latex/oberdiek/refcount.sty Package: refcount 2008/08/11 v3.1 Data extraction from references (HO) ) \c@section@level=\count155 ) LaTeX Info: Redefining \ref on input line 29. LaTeX Info: Redefining \pageref on input line 29. (./algebraI.out) (./algebraI.out) \@outlinefile=\write5 \openout5 = `algebraI.out'. \AtBeginShipoutBox=\box36 LaTeX Font Info: Try loading font information for U+msa on input line 32. (/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 32. (/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+rsfs on input line 32. (/usr/share/texmf-texlive/tex/latex/jknapltx/ursfs.fd File: ursfs.fd 1998/03/24 rsfs font definition file (jk) ) (./gpl.tex [1 Non-PDF special ignored! Non-PDF special ignored! Non-PDF special ignored! Non-PDF special ignored! Non-PDF special ignored! {/var/lib/texmf/fonts/map/pdftex/updmap/pdftex.map}] LaTeX Font Info: Try loading font information for OMS+cmr on input line 3. (/usr/share/texmf-texlive/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 <9> not available (Font) Font shape `OMS/cmsy/m/n' tried instead on input line 3. ) [2] (./algebraI.toc [3 ] [4] [5] [6] [7]) \tf@toc=\write6 \openout6 = `algebraI.toc'. [8] Overfull \hbox (8.77478pt too wide) in paragraph at lines 122--124 []\OT1/cmr/m/n/10 Per in-di-care il nu-mero degli el-e-menti di un in-sieme (ch e viene chiam-ato car-di-nalita' dell'insieme), [] [1 ] [2] File: fig/Venn_A_intersect_B.png Graphic file (type png) [3 <./fig/Venn_A_intersect_B.png (PNG copy)>] [4] File: fig/Venn_A_union_B.png Graphic file (type png) Overfull \hbox (11.17339pt too wide) in paragraph at lines 344--347 []$\OML/cmm/m/it/10 A \OMS/cmsy/m/n/10 [ \OT1/cmr/m/n/10 (\OML/cmm/m/it/10 B \O MS/cmsy/m/n/10 \ \OML/cmm/m/it/10 C\OT1/cmr/m/n/10 ) = (\OML/cmm/m/it/10 A \OMS /cmsy/m/n/10 [ \OML/cmm/m/it/10 B\OT1/cmr/m/n/10 ) \OMS/cmsy/m/n/10 \ \OT1/cmr/ m/n/10 (\OML/cmm/m/it/10 A \OMS/cmsy/m/n/10 [ \OML/cmm/m/it/10 C\OT1/cmr/m/n/10 ) $ (pro-pri-eta' dis-tribu-tiva dell'unione rispetto all'intersezione). [] File: fig/B_minus_A.png Graphic file (type png) LaTeX Warning: `h' float specifier changed to `ht'. [5 <./fig/Venn_A_union_B.png (PNG copy)>] Underfull \hbox (badness 10000) in paragraph at lines 371--372 [] Underfull \hbox (badness 10000) in paragraph at lines 378--380 [] File: fig/Sym_complement.png Graphic file (type png) LaTeX Warning: `h' float specifier changed to `ht'. [6 <./fig/B_minus_A.png (PNG copy)>] Underfull \hbox (badness 10000) in paragraph at lines 466--469 [] [7 <./fig/Sym_complement.png (PNG copy)>] Underfull \hbox (badness 10000) in paragraph at lines 502--505 [] File: fig/Funcoes_x2.png Graphic file (type png) [8] [9 <./fig/Funcoes_x2.png (PNG copy)>] File: fig/Non-injective_and_surjective.png Graphic file (type png) LaTeX Warning: `h' float specifier changed to `ht'. File: fig/Injective_and_non-surjective.png Graphic file (type png) LaTeX Warning: `h' float specifier changed to `ht'. [10] [11 <./fig/Non-injective_and_surjective.png (PNG copy)> <./fig/Injective_a nd_non-surjective.png (PNG copy)>] File: fig/Compfun.png Graphic file (type png) WARNING: prova step "" (<1>2) already defined [12 <./fig/Compfun.png (PNG copy)>] Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): (hyperref) removing `math shift' on input line 790. Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): (hyperref) removing `\rightarrow' on input line 790. Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): (hyperref) removing `math shift' on input line 790. Overfull \hbox (33.20724pt too wide) in paragraph at lines 802--804 \OT1/cmr/m/n/10 Se $\OML/cmm/m/it/10 A; B$ \OT1/cmr/m/n/10 sono finiti, pos-si- amo con-tare esat-ta-mente quante fun-zioni es-istono: sia $\OML/cmm/m/it/10 A \OT1/cmr/m/n/10 = [] \OML/cmm/m/it/10 ; B \OT1/cmr/m/n/10 = [] Overfull \hbox (36.05124pt too wide) in paragraph at lines 833--844 \OT1/cmr/m/n/10 e' chiaro che da questa as-so-ci-azione, pos-si-amo creare que lle del tipo $\OML/cmm/m/it/10 [][]\OMS/cmsy/m/n/10 ! \OT1/cmr/m/n/10 (\OML/c mm/m/it/10 f\OT1/cmr/m/n/10 (\OML/cmm/m/it/10 a[]\OT1/cmr/m/n/10 )\OML/cmm/m/it /10 ; f\OT1/cmr/m/n/10 (\OML/cmm/m/it/10 a[]\OT1/cmr/m/n/10 )\OML/cmm/m/it/10 ; [] ; f\OT1/cmr/m/n/10 (\OML/cmm/m/it/10 a[]\OT1/cmr/m/n/10 ))$, [] [13] [14] [15] Underfull \hbox (badness 10000) in paragraph at lines 1029--1031 [] Underfull \hbox (badness 10000) in paragraph at lines 1035--1038 [] [16] WARNING: prova step "" (<1>2) already defined Underfull \hbox (badness 10000) in paragraph at lines 1083--1085 [] WARNING: prova step "" (<1>2) already defined WARNING: prova step "" (<1>3) already defined [17] Underfull \hbox (badness 10000) in paragraph at lines 1173--1175 [] [18] [19] [20] [21] Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): (hyperref) removing `math shift' on input line 1332. Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): (hyperref) removing `math shift' on input line 1332. [22] Underfull \hbox (badness 10000) in paragraph at lines 1388--1391 [] [23] [24] WARNING: prova step "" (<1>2) already defined Underfull \hbox (badness 10000) in paragraph at lines 1517--1518 [] WARNING: prova step "" (<1>3) already defined [25] [26] [27] [28] [29] Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): (hyperref) removing `math shift' on input line 1786. Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): (hyperref) removing `math shift' on input line 1786. [30] [31] [32] [33] Overfull \hbox (18.8128pt too wide) in paragraph at lines 2040--2045 []\OT1/cmr/bx/n/10 Proof\OT1/cmr/m/n/10 : Dob-bi-amo di-mostrare che $\OML/cmm /m/it/10 P\OT1/cmr/m/n/10 (\OML/cmm/m/it/10 A\OT1/cmr/m/n/10 )$ e $[][]$ sono e quipo-tenti, ovvero che es-iste un'applicazione [] [34] [35] [36] Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): (hyperref) removing `math shift' on input line 2232. Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): (hyperref) removing `math shift' on input line 2232. [37] Underfull \hbox (badness 10000) in paragraph at lines 2306--2308 [] Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): (hyperref) removing `math shift' on input line 2316. Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): (hyperref) removing `math shift' on input line 2316. Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): (hyperref) removing `math shift' on input line 2316. Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): (hyperref) removing `math shift' on input line 2316. [38] Underfull \hbox (badness 10000) in paragraph at lines 2329--2331 [] Underfull \hbox (badness 10000) in paragraph at lines 2332--2333 [] Underfull \hbox (badness 10000) in paragraph at lines 2340--2341 [] Underfull \hbox (badness 10000) in paragraph at lines 2345--2346 [] Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): (hyperref) removing `math shift' on input line 2353. Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): (hyperref) removing `math shift' on input line 2353. Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): (hyperref) removing `math shift' on input line 2365. Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): (hyperref) removing `math shift' on input line 2365. [39] Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): (hyperref) removing `math shift' on input line 2432. Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): (hyperref) removing `math shift' on input line 2432. [40] WARNING: prova step "" (<1>2) already defined [41] Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): (hyperref) removing `math shift' on input line 2514. Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): (hyperref) removing `math shift' on input line 2514. [42] [43] [44] Underfull \hbox (badness 10000) in paragraph at lines 2702--2705 [] Underfull \hbox (badness 10000) in paragraph at lines 2721--2724 [] [45] [46] [47] Underfull \hbox (badness 10000) in paragraph at lines 2935--2939 [] [48] [49] [50] Underfull \hbox (badness 10000) in paragraph at lines 3095--3100 [] Overfull \hbox (28.57994pt too wide) in paragraph at lines 3124--3124 [] [] Overfull \hbox (54.64908pt too wide) in paragraph at lines 3132--3132 [] [] WARNING: prova step "" (<1>2) already defined [51] Underfull \hbox (badness 10000) in paragraph at lines 3190--3192 [] [52] Underfull \hbox (badness 10000) in paragraph at lines 3223--3226 [] Package hyperref Warning: Difference (2) between bookmark levels is greater (hyperref) than one, level fixed on input line 3257. [53] Underfull \hbox (badness 10000) in paragraph at lines 3266--3269 [] [54] Underfull \hbox (badness 10000) in paragraph at lines 3326--3326 [] Overfull \hbox (1.28784pt too wide) in paragraph at lines 3385--3395 \OT1/cmr/m/n/10 Quindi basta di-mostrare che $(\OML/cmm/m/it/10 x; mn\OT1/cmr/ m/n/10 ) = 1$. Sup-poni-amo per as-surdo che $\OMS/cmsy/m/n/10 9\OML/cmm/m/it/1 0 p[]p[]x; p[]mn$ [] [55] Package amsmath Warning: Foreign command \over; (amsmath) \frac or \genfrac should be used instead (amsmath) on input line 3410. [56] [57] [58] Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): (hyperref) removing `math shift' on input line 3624. Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): (hyperref) removing `math shift' on input line 3624. [59] Underfull \hbox (badness 10000) in paragraph at lines 3676--3678 [] Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): (hyperref) removing `math shift' on input line 3686. Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): (hyperref) removing `math shift' on input line 3686. Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): (hyperref) removing `math shift' on input line 3686. Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): (hyperref) removing `math shift' on input line 3686. Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): (hyperref) removing `math shift' on input line 3703. Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): (hyperref) removing `math shift' on input line 3703. [60] Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): (hyperref) removing `math shift' on input line 3729. Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): (hyperref) removing `math shift' on input line 3729. Underfull \hbox (badness 10000) in paragraph at lines 3755--3759 [] [61] [62] [63] Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): (hyperref) removing `math shift' on input line 3926. Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): (hyperref) removing `math shift' on input line 3926. [64] Overfull \hbox (25.7639pt too wide) in paragraph at lines 3959--3967 \OT1/cmr/m/n/10 Il co-ef-fi-ciente $\OML/cmm/m/it/10 a[]b[]x[]$ \OT1/cmr/m/n/10 serve per sos-ti-tuire $\OML/cmm/m/it/10 b[]x[]$ \OT1/cmr/m/n/10 con $\OML/cmm /m/it/10 a[]x[]$ \OT1/cmr/m/n/10 in $\OML/cmm/m/it/10 g\OT1/cmr/m/n/10 (\OML/cm m/m/it/10 x\OT1/cmr/m/n/10 )$, in-fatti, $(\OML/cmm/m/it/10 a[]b[]x[]\OT1/cmr/m /n/10 )(\OML/cmm/m/it/10 b[]x[]\OT1/cmr/m/n/10 ) = [] [65] Overfull \hbox (45.68756pt too wide) in paragraph at lines 4067--4067 [] [] [66] Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): (hyperref) removing `math shift' on input line 4086. Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): (hyperref) removing `math shift' on input line 4086. Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): (hyperref) removing `math shift' on input line 4124. Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): (hyperref) removing `math shift' on input line 4124. [67] Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): (hyperref) removing `math shift' on input line 4135. Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): (hyperref) removing `math shift' on input line 4135. Underfull \hbox (badness 10000) in paragraph at lines 4138--4144 [] [68] Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): (hyperref) removing `math shift' on input line 4212. Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): (hyperref) removing `math shift' on input line 4212. [69] Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): (hyperref) removing `math shift' on input line 4332. Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): (hyperref) removing `math shift' on input line 4332. Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): (hyperref) removing `math shift' on input line 4332. Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): (hyperref) removing `math shift' on input line 4332. [70] [71] Underfull \hbox (badness 10000) in paragraph at lines 4508--4511 [] [72] Underfull \hbox (badness 10000) in paragraph at lines 4549--4555 [] [73] Underfull \hbox (badness 10000) in paragraph at lines 4649--4657 [] [74] Underfull \hbox (badness 10000) in paragraph at lines 4697--4701 [] [75] [76] [77] Underfull \hbox (badness 10000) in paragraph at lines 4932--4940 [] [78] WARNING: prova step "" (<1>2) already defined [79] [80] Underfull \hbox (badness 10000) in paragraph at lines 5106--5108 [] Underfull \hbox (badness 10000) in paragraph at lines 5151--5153 [] Underfull \hbox (badness 10000) in paragraph at lines 5158--5160 [] [81] [82] [83] [84] [85] [86] Underfull \hbox (badness 10000) in paragraph at lines 5598--5600 [] [87] Underfull \hbox (badness 10000) in paragraph at lines 5652--5653 [] [88] Underfull \hbox (badness 10000) in paragraph at lines 5703--5706 [] Underfull \hbox (badness 10000) in paragraph at lines 5721--5723 [] Underfull \hbox (badness 10000) in paragraph at lines 5733--5736 [] [89] Underfull \hbox (badness 10000) in paragraph at lines 5760--5765 [] Underfull \hbox (badness 10000) in paragraph at lines 5771--5773 [] [90] Overfull \hbox (12.15315pt too wide) in paragraph at lines 5830--5833 \OT1/cmr/m/it/10 Poiche' $\OML/cmm/m/it/10 P$ \OT1/cmr/m/it/10 e' un ide-ale, e poiche' al-meno $\OML/cmm/m/it/10 x$ \OT1/cmr/m/it/10 o $\OML/cmm/m/it/10 y$ \ OT1/cmr/m/it/10 sono in $\OML/cmm/m/it/10 P$\OT1/cmr/m/it/10 , segue im-me-di-a ta-mente (per l'assorbimento) [] [91] Underfull \hbox (badness 10000) in paragraph at lines 5921--5923 [] Underfull \hbox (badness 10000) in paragraph at lines 5928--5930 [] Underfull \hbox (badness 10000) in paragraph at lines 5939--5941 [] Underfull \hbox (badness 10000) in paragraph at lines 5950--5954 [] Underfull \hbox (badness 10000) in paragraph at lines 5974--5976 [] [92] Underfull \hbox (badness 10000) in paragraph at lines 5986--5988 [] Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): (hyperref) removing `math shift' on input line 6010. Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): (hyperref) removing `math shift' on input line 6010. [93] [94] Package hyperref Warning: Difference (2) between bookmark levels is greater (hyperref) than one, level fixed on input line 6120. [95] [96] [97] [98] Underfull \hbox (badness 10000) in paragraph at lines 6376--6378 [] [99] [100] Underfull \hbox (badness 10000) in paragraph at lines 6516--6521 [] [101] [102] Underfull \hbox (badness 10000) in paragraph at lines 6689--6691 [] Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): (hyperref) removing `math shift' on input line 6725. Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): (hyperref) removing `\Rightarrow' on input line 6725. Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): (hyperref) removing `math shift' on input line 6725. [103] Underfull \hbox (badness 10000) in paragraph at lines 6748--6750 [] Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): (hyperref) removing `math shift' on input line 6773. Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): (hyperref) removing `\Rightarrow' on input line 6773. Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): (hyperref) removing `math shift' on input line 6773. Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): (hyperref) removing `math shift' on input line 6773. Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): (hyperref) removing `\Rightarrow' on input line 6773. Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): (hyperref) removing `math shift' on input line 6773. WARNING: prova step "" (<1>2) already defined WARNING: prova step "" (<1>3) already defined WARNING: prova step "" (<1>4) already defined Underfull \hbox (badness 10000) in paragraph at lines 6809--6812 [] [104] WARNING: prova step "" (<1>5) already defined WARNING: prova step "" (<1>6) already defined Underfull \hbox (badness 10000) in paragraph at lines 6879--6881 [] [105] [106] WARNING: prova step "" (<1>1) already defined [107] WARNING: prova step "" (<1>2) already defined Underfull \hbox (badness 10000) in paragraph at lines 7027--7030 [] WARNING: prova step "" (<2>1) already defined WARNING: prova step "" (<1>3) already defined WARNING: prova step "" (<1>4) already defined [108] WARNING: prova step "" (<1>5) already defined [109] WARNING: prova step "" (<0>2) already defined WARNING: prova step "" (<1>1) already defined [110] Underfull \hbox (badness 10000) in paragraph at lines 7261--7264 [] Underfull \hbox (badness 10000) in paragraph at lines 7265--7268 [] [111] (./algebraI.ind [112] [113 ]) (./algebraI.aux) ) Here is how much of TeX's memory you used: 10433 strings out of 495061 132020 string characters out of 1182622 264135 words of memory out of 3000000 12780 multiletter control sequences out of 15000+50000 20062 words of font info for 81 fonts, out of 3000000 for 9000 28 hyphenation exceptions out of 8191 45i,21n,41p,491b,519s stack positions out of 5000i,500n,10000p,200000b,50000s < /usr/share/texmf-texlive/fonts/type1/public/amsfonts/cm/cmbx9.pfb> Output written on algebraI.pdf (121 pages, 1017360 bytes). PDF statistics: 2441 PDF objects out of 2487 (max. 8388607) 638 named destinations out of 1000 (max. 500000) 1929 words of extra memory for PDF output out of 10000 (max. 10000000)