This is pdfTeX, Version 3.14159265-2.6-1.40.21 (MiKTeX 2.9.7300 64-bit) (preloaded format=pdflatex 2020.4.13) 21 APR 2020 10:32 entering extended mode **./main.tex (main.tex LaTeX2e <2020-02-02> patch level 5 L3 programming layer <2020-03-06> ("C:\Program Files\MiKTeX 2.9\tex/latex/base\report.cls" Document Class: report 2019/12/20 v1.4l Standard LaTeX document class ("C:\Program Files\MiKTeX 2.9\tex/latex/base\size12.clo" File: size12.clo 2019/12/20 v1.4l Standard LaTeX file (size option) ) \c@part=\count167 \c@chapter=\count168 \c@section=\count169 \c@subsection=\count170 \c@subsubsection=\count171 \c@paragraph=\count172 \c@subparagraph=\count173 \c@figure=\count174 \c@table=\count175 \abovecaptionskip=\skip47 \belowcaptionskip=\skip48 \bibindent=\dimen134 ) ("C:\Program Files\MiKTeX 2.9\tex/latex/amsmath\amsmath.sty" Package: amsmath 2020/01/20 v2.17e AMS math features \@mathmargin=\skip49 For additional information on amsmath, use the `?' option. ("C:\Program Files\MiKTeX 2.9\tex/latex/amsmath\amstext.sty" Package: amstext 2000/06/29 v2.01 AMS text ("C:\Program Files\MiKTeX 2.9\tex/latex/amsmath\amsgen.sty" File: amsgen.sty 1999/11/30 v2.0 generic functions \@emptytoks=\toks15 \ex@=\dimen135 )) ("C:\Program Files\MiKTeX 2.9\tex/latex/amsmath\amsbsy.sty" Package: amsbsy 1999/11/29 v1.2d Bold Symbols \pmbraise@=\dimen136 ) ("C:\Program Files\MiKTeX 2.9\tex/latex/amsmath\amsopn.sty" Package: amsopn 2016/03/08 v2.02 operator names ) \inf@bad=\count176 LaTeX Info: Redefining \frac on input line 227. \uproot@=\count177 \leftroot@=\count178 LaTeX Info: Redefining \overline on input line 389. \classnum@=\count179 \DOTSCASE@=\count180 LaTeX Info: Redefining \ldots on input line 486. LaTeX Info: Redefining \dots on input line 489. LaTeX Info: Redefining \cdots on input line 610. \Mathstrutbox@=\box45 \strutbox@=\box46 \big@size=\dimen137 LaTeX Font Info: Redeclaring font encoding OML on input line 733. LaTeX Font Info: Redeclaring font encoding OMS on input line 734. \macc@depth=\count181 \c@MaxMatrixCols=\count182 \dotsspace@=\muskip16 \c@parentequation=\count183 \dspbrk@lvl=\count184 \tag@help=\toks16 \row@=\count185 \column@=\count186 \maxfields@=\count187 \andhelp@=\toks17 \eqnshift@=\dimen138 \alignsep@=\dimen139 \tagshift@=\dimen140 \tagwidth@=\dimen141 \totwidth@=\dimen142 \lineht@=\dimen143 \@envbody=\toks18 \multlinegap=\skip50 \multlinetaggap=\skip51 \mathdisplay@stack=\toks19 LaTeX Info: Redefining \[ on input line 2859. LaTeX Info: Redefining \] on input line 2860. ) ("C:\Program Files\MiKTeX 2.9\tex/latex/systeme\systeme.sty" ("C:\Program Files\MiKTeX 2.9\tex/latex/xstring\xstring.sty" ("C:\Program Files\MiKTeX 2.9\tex/generic/xstring\xstring.tex" \integerpart=\count188 \decimalpart=\count189 ) Package: xstring 2019/02/06 v1.83 String manipulations (CT) ) ("C:\Program Files\MiKTeX 2.9\tex/generic/systeme\systeme.tex" \SYS_systemecode=\toks20 \SYS_systempreamble=\toks21 \SYSeqnum=\count190 ) Package: systeme 2019/01/13 v0.32 Mise en forme de systemes d'equations (CT) ) ("C:\Program Files\MiKTeX 2.9\tex/latex/amsfonts\amssymb.sty" Package: amssymb 2013/01/14 v3.01 AMS font symbols ("C:\Program Files\MiKTeX 2.9\tex/latex/amsfonts\amsfonts.sty" Package: amsfonts 2013/01/14 v3.01 Basic AMSFonts support \symAMSa=\mathgroup4 \symAMSb=\mathgroup5 LaTeX Font Info: Redeclaring math symbol \hbar on input line 98. LaTeX Font Info: Overwriting math alphabet `\mathfrak' in version `bold' (Font) U/euf/m/n --> U/euf/b/n on input line 106. )) ("C:\Program Files\MiKTeX 2.9\tex/latex/subfiles\subfiles.sty" Package: subfiles 2020/02/14 v1.6 Multi-file projects (package) ("C:\Program Files\MiKTeX 2.9\tex/latex/import\import.sty" Package: import 2020/04/01 v 6.2 )) ("C:\Program Files\MiKTeX 2.9\tex/generic/babel\babel.sty" Package: babel 2020/02/28 3.41 The Babel package ("C:\Program Files\MiKTeX 2.9\tex/generic/babel\switch.def" File: switch.def 2020/02/28 3.41 Babel switching mechanism ) ************************************* * Local config file bblopts.cfg used * ("C:\Program Files\MiKTeX 2.9\tex/latex/arabi\bblopts.cfg" File: bblopts.cfg 2005/09/08 v0.1 add Arabic and Farsi to "declared" options of babel ) ("C:\Program Files\MiKTeX 2.9\tex/latex/babel-english\english.ldf" Language: english 2017/06/06 v3.3r English support from the babel system ("C:\Program Files\MiKTeX 2.9\tex/generic/babel\babel.def" File: babel.def 2020/02/28 3.41 Babel common definitions \babel@savecnt=\count191 \U@D=\dimen144 ("C:\Program Files\MiKTeX 2.9\tex/generic/babel\txtbabel.def") \bbl@readstream=\read2 \bbl@dirlevel=\count192 ) Package babel Info: \l@canadian = using hyphenrules for english (babel) (\language0) on input line 102. Package babel Info: \l@australian = using hyphenrules for ukenglish (babel) (\language72) on input line 105. Package babel Info: \l@newzealand = using hyphenrules for ukenglish (babel) (\language72) on input line 108. )) ("C:\Program Files\MiKTeX 2.9\tex/latex/xcolor\xcolor.sty" Package: xcolor 2016/05/11 v2.12 LaTeX color extensions (UK) ("C:\Program Files\MiKTeX 2.9\tex/latex/graphics-cfg\color.cfg" File: color.cfg 2016/01/02 v1.6 sample color configuration ) Package xcolor Info: Driver file: pdftex.def on input line 225. ("C:\Program Files\MiKTeX 2.9\tex/latex/graphics-def\pdftex.def" File: pdftex.def 2018/01/08 v1.0l Graphics/color driver for pdftex ) Package xcolor Info: Model `cmy' substituted by `cmy0' on input line 1348. Package xcolor Info: Model `hsb' substituted by `rgb' on input line 1352. Package xcolor Info: Model `RGB' extended on input line 1364. Package xcolor Info: Model `HTML' substituted by `rgb' on input line 1366. Package xcolor Info: Model `Hsb' substituted by `hsb' on input line 1367. Package xcolor Info: Model `tHsb' substituted by `hsb' on input line 1368. Package xcolor Info: Model `HSB' substituted by `hsb' on input line 1369. Package xcolor Info: Model `Gray' substituted by `gray' on input line 1370. Package xcolor Info: Model `wave' substituted by `hsb' on input line 1371. ("C:\Program Files\MiKTeX 2.9\tex/latex/graphics\dvipsnam.def" File: dvipsnam.def 2016/06/17 v3.0m Driver-dependent file (DPC,SPQR) )) ("C:\Program Files\MiKTeX 2.9\tex/latex/graphics\graphicx.sty" Package: graphicx 2019/11/30 v1.2a Enhanced LaTeX Graphics (DPC,SPQR) ("C:\Program Files\MiKTeX 2.9\tex/latex/graphics\keyval.sty" Package: keyval 2014/10/28 v1.15 key=value parser (DPC) \KV@toks@=\toks22 ) ("C:\Program Files\MiKTeX 2.9\tex/latex/graphics\graphics.sty" Package: graphics 2019/11/30 v1.4a Standard LaTeX Graphics (DPC,SPQR) ("C:\Program Files\MiKTeX 2.9\tex/latex/graphics\trig.sty" Package: trig 2016/01/03 v1.10 sin cos tan (DPC) ) ("C:\Program Files\MiKTeX 2.9\tex/latex/graphics-cfg\graphics.cfg" File: graphics.cfg 2016/06/04 v1.11 sample graphics configuration ) Package graphics Info: Driver file: pdftex.def on input line 105. ) \Gin@req@height=\dimen145 \Gin@req@width=\dimen146 ) ("C:\Program Files\MiKTeX 2.9\tex/latex/sectsty\sectsty.sty" Package: sectsty 2002/02/25 v2.0.2 Commands to change all sectional heading sty les LaTeX Warning: Command \underbar has changed. Check if current package is valid. LaTeX Warning: Command \underline has changed. Check if current package is valid. ) ("C:\Program Files\MiKTeX 2.9\tex/latex/framed\framed.sty" Package: framed 2011/10/22 v 0.96: framed or shaded text with page breaks \OuterFrameSep=\skip52 \fb@frw=\dimen147 \fb@frh=\dimen148 \FrameRule=\dimen149 \FrameSep=\dimen150 ) ("C:\Program Files\MiKTeX 2.9\tex/latex/titlesec\titlesec.sty" Package: titlesec 2019/10/16 v2.13 Sectioning titles \ttl@box=\box47 \beforetitleunit=\skip53 \aftertitleunit=\skip54 \ttl@plus=\dimen151 \ttl@minus=\dimen152 \ttl@toksa=\toks23 \titlewidth=\dimen153 \titlewidthlast=\dimen154 \titlewidthfirst=\dimen155 ) ("C:\Program Files\MiKTeX 2.9\tex/latex/base\fontenc.sty" Package: fontenc 2020/02/11 v2.0o Standard LaTeX package ) ("C:\Program Files\MiKTeX 2.9\tex/latex/l3backend\l3backend-pdfmode.def" File: l3backend-pdfmode.def 2020-03-12 L3 backend support: PDF mode \l__kernel_color_stack_int=\count193 \l__pdf_internal_box=\box48 ) (main.aux) \openout1 = `main.aux'. LaTeX Font Info: Checking defaults for OML/cmm/m/it on input line 47. LaTeX Font Info: ... okay on input line 47. LaTeX Font Info: Checking defaults for OMS/cmsy/m/n on input line 47. LaTeX Font Info: ... okay on input line 47. LaTeX Font Info: Checking defaults for OT1/cmr/m/n on input line 47. LaTeX Font Info: ... okay on input line 47. LaTeX Font Info: Checking defaults for T1/cmr/m/n on input line 47. LaTeX Font Info: ... okay on input line 47. LaTeX Font Info: Checking defaults for TS1/cmr/m/n on input line 47. LaTeX Font Info: ... okay on input line 47. LaTeX Font Info: Checking defaults for OMX/cmex/m/n on input line 47. LaTeX Font Info: ... okay on input line 47. LaTeX Font Info: Checking defaults for U/cmr/m/n on input line 47. LaTeX Font Info: ... okay on input line 47. ("C:\Program Files\MiKTeX 2.9\tex/context/base/mkii\supp-pdf.mkii" [Loading MPS to PDF converter (version 2006.09.02).] \scratchcounter=\count194 \scratchdimen=\dimen156 \scratchbox=\box49 \nofMPsegments=\count195 \nofMParguments=\count196 \everyMPshowfont=\toks24 \MPscratchCnt=\count197 \MPscratchDim=\dimen157 \MPnumerator=\count198 \makeMPintoPDFobject=\count199 \everyMPtoPDFconversion=\toks25 ) ("C:\Program Files\MiKTeX 2.9\tex/latex/epstopdf-pkg\epstopdf-base.sty" Package: epstopdf-base 2020-01-24 v2.11 Base part for package epstopdf ("C:\Program Files\MiKTeX 2.9\tex/generic/infwarerr\infwarerr.sty" Package: infwarerr 2019/12/03 v1.5 Providing info/warning/error messages (HO) ) ("C:\Program Files\MiKTeX 2.9\tex/latex/grfext\grfext.sty" Package: grfext 2019/12/03 v1.3 Manage graphics extensions (HO) ("C:\Program Files\MiKTeX 2.9\tex/generic/kvdefinekeys\kvdefinekeys.sty" Package: kvdefinekeys 2019-12-19 v1.6 Define keys (HO) )) ("C:\Program Files\MiKTeX 2.9\tex/latex/kvoptions\kvoptions.sty" Package: kvoptions 2019/11/29 v3.13 Key value format for package options (HO) ("C:\Program Files\MiKTeX 2.9\tex/generic/ltxcmds\ltxcmds.sty" Package: ltxcmds 2019/12/15 v1.24 LaTeX kernel commands for general use (HO) ) ("C:\Program Files\MiKTeX 2.9\tex/generic/kvsetkeys\kvsetkeys.sty" Package: kvsetkeys 2019/12/15 v1.18 Key value parser (HO) )) ("C:\Program Files\MiKTeX 2.9\tex/latex/pdftexcmds\pdftexcmds.sty" Package: pdftexcmds 2019/11/24 v0.31 Utility functions of pdfTeX for LuaTeX (HO ) ("C:\Program Files\MiKTeX 2.9\tex/generic/iftex\iftex.sty" Package: iftex 2020/03/06 v1.0d TeX engine tests ) Package pdftexcmds Info: \pdf@primitive is available. Package pdftexcmds Info: \pdf@ifprimitive is available. Package pdftexcmds Info: \pdfdraftmode found. ) Package epstopdf-base Info: Redefining graphics rule for `.eps' on input line 4 85. Package grfext Info: Graphics extension search list: (grfext) [.pdf,.png,.jpg,.mps,.jpeg,.jbig2,.jb2,.PDF,.PNG,.JPG,.JPE G,.JBIG2,.JB2,.eps] (grfext) \AppendGraphicsExtensions on input line 504. ) <./img/unimi.png, id=1, 1240.635pt x 416.2752pt> File: ./img/unimi.png Graphic file (type png) Package pdftex.def Info: ./img/unimi.png used on input line 56. (pdftex.def) Requested size: 195.0pt x 65.42395pt. <./img/front.jpg, id=3, 1606.0pt x 903.375pt> File: ./img/front.jpg Graphic file (type jpg) Package pdftex.def Info: ./img/front.jpg used on input line 75. (pdftex.def) Requested size: 350.99762pt x 197.4336pt. [1 {C:/Users/AndreDany/AppData/Local/MiKTeX/2.9/pdftex/config/pdftex.map} <./img/u nimi.png> <./img/front.jpg>] (main.toc LaTeX Font Info: Trying to load font information for U+msa on input line 3. ("C:\Program Files\MiKTeX 2.9\tex/latex/amsfonts\umsa.fd" File: umsa.fd 2013/01/14 v3.01 AMS symbols A ) LaTeX Font Info: Trying to load font information for U+msb on input line 3. ("C:\Program Files\MiKTeX 2.9\tex/latex/amsfonts\umsb.fd" File: umsb.fd 2013/01/14 v3.01 AMS symbols B ) [1 ]) \tf@toc=\write3 \openout3 = `main.toc'. [2] (main.lof [3 ]) \tf@lof=\write4 \openout4 = `main.lof'. [4] (lectures/lecture1.tex Chapter 1. Underfull \hbox (badness 10000) in paragraph at lines 8--14 [] Underfull \hbox (badness 10000) in paragraph at lines 8--14 [] Underfull \hbox (badness 10000) in paragraph at lines 22--23 [] Underfull \hbox (badness 10000) in paragraph at lines 32--53 [] Underfull \hbox (badness 10000) in paragraph at lines 32--53 [] Underfull \hbox (badness 10000) in paragraph at lines 32--53 [] Underfull \hbox (badness 10000) in paragraph at lines 32--53 [] Underfull \hbox (badness 10000) in paragraph at lines 32--53 [] Underfull \hbox (badness 10000) in paragraph at lines 32--53 [] Underfull \hbox (badness 10000) in paragraph at lines 32--53 [] Underfull \hbox (badness 10000) in paragraph at lines 32--53 [] [5 ] Underfull \hbox (badness 10000) in paragraph at lines 61--89 [] Underfull \hbox (badness 10000) in paragraph at lines 61--89 [] Underfull \hbox (badness 10000) in paragraph at lines 61--89 [] Underfull \hbox (badness 10000) in paragraph at lines 61--89 [] [6] Underfull \hbox (badness 10000) in paragraph at lines 93--104 [] Underfull \hbox (badness 10000) in paragraph at lines 93--104 [] Underfull \hbox (badness 10000) in paragraph at lines 93--104 [] Underfull \hbox (badness 10000) in paragraph at lines 107--123 [] Underfull \hbox (badness 10000) in paragraph at lines 107--123 [] Underfull \hbox (badness 10000) in paragraph at lines 107--123 [] [7] Underfull \hbox (badness 10000) in paragraph at lines 132--135 [] ) [8] (lectures/lecture2.tex Chapter 2. Underfull \hbox (badness 10000) in paragraph at lines 7--16 [] Underfull \hbox (badness 10000) in paragraph at lines 17--30 [] Underfull \hbox (badness 10000) in paragraph at lines 17--30 [] File: lectures/../img/lez2-img1.JPG Graphic file (type jpg) Package pdftex.def Info: lectures/../img/lez2-img1.JPG used on input line 36. (pdftex.def) Requested size: 155.99762pt x 122.92067pt. Underfull \hbox (badness 10000) in paragraph at lines 32--42 [] LaTeX Warning: `h' float specifier changed to `ht'. [9 ] File: lectures/../img/lez2-img2.JPG Graphic file (type jpg) Package pdftex.def Info: lectures/../img/lez2-img2.JPG used on input line 53. (pdftex.def) Requested size: 155.99762pt x 76.64468pt. Underfull \hbox (badness 10000) in paragraph at lines 49--58 [] Underfull \hbox (badness 10000) in paragraph at lines 62--65 [] Underfull \hbox (badness 10000) in paragraph at lines 62--65 [] [10 <./lectures/../img/lez2-img1.JPG> <./lectures/../img/lez2-img2.JPG>] Underfull \hbox (badness 10000) in paragraph at lines 76--94 [] Underfull \hbox (badness 10000) in paragraph at lines 94--99 [] Underfull \hbox (badness 10000) in paragraph at lines 102--122 [] Underfull \hbox (badness 10000) in paragraph at lines 102--122 [] Underfull \hbox (badness 10000) in paragraph at lines 102--122 [] [11] Underfull \hbox (badness 10000) in paragraph at lines 123--128 [] Underfull \hbox (badness 10000) in paragraph at lines 131--169 [] Underfull \hbox (badness 10000) in paragraph at lines 131--169 [] Underfull \hbox (badness 10000) in paragraph at lines 131--169 [] Underfull \hbox (badness 10000) in paragraph at lines 131--169 [] Underfull \hbox (badness 10000) in paragraph at lines 131--169 [] Underfull \hbox (badness 10000) in paragraph at lines 131--169 [] [12] [13] Underfull \hbox (badness 10000) in paragraph at lines 177--184 [] Underfull \hbox (badness 10000) in paragraph at lines 185--195 [] Underfull \hbox (badness 10000) in paragraph at lines 202--212 [] [14]) [15] (lectures/lecture3.tex Chapter 3. Underfull \hbox (badness 10000) in paragraph at lines 5--7 [] Overfull \hbox (12.26892pt too wide) detected at line 9 \OML/cmm/m/it/12 x \OT1/cmr/m/n/12 = (\OML/cmm/m/it/12 x[]; :::; x[]\OT1/cmr/m/ n/12 ) \OML/cmm/m/it/12 x[] []x \OMS/cmsy/m/n/12 2 \OML/cmm/m/it/12 X[] X \OT1/ cmr/m/n/12 = \U/msb/m/n/12 R[] \OML/cmm/m/it/12 X \OT1/cmr/m/n/12 = \OML/cmm/m/ it/12 X[] \OMS/cmsy/m/n/12  \OML/cmm/m/it/12 x \OMS/cmsy/m/n/12  \OML/cmm/m/i t/12 ::: \OMS/cmsy/m/n/12  \OML/cmm/m/it/12 X[] \OMS/cmsy/m/n/12  \OML/cmm/m/ it/12 x [] File: lectures/../img/lez3-img1.JPG Graphic file (type jpg) Package pdftex.def Info: lectures/../img/lez3-img1.JPG used on input line 25. (pdftex.def) Requested size: 312.00119pt x 75.36586pt. Underfull \hbox (badness 10000) in paragraph at lines 9--34 [] Underfull \hbox (badness 10000) in paragraph at lines 9--34 [] Underfull \hbox (badness 10000) in paragraph at lines 9--34 [] Underfull \hbox (badness 10000) in paragraph at lines 9--34 [] Underfull \hbox (badness 10000) in paragraph at lines 9--34 [] Underfull \hbox (badness 10000) in paragraph at lines 9--34 [] Underfull \hbox (badness 10000) in paragraph at lines 9--34 [] Underfull \hbox (badness 10000) in paragraph at lines 9--34 [] Underfull \hbox (badness 10000) in paragraph at lines 34--41 [] [16 <./lectures/../img/lez3-img1.JPG>] Underfull \hbox (badness 10000) in paragraph at lines 54--60 [] Underfull \hbox (badness 10000) in paragraph at lines 60--71 [] Underfull \hbox (badness 10000) in paragraph at lines 71--81 [] Underfull \hbox (badness 10000) in paragraph at lines 71--81 [] [17] Underfull \hbox (badness 10000) in paragraph at lines 84--92 [] Underfull \hbox (badness 10000) in paragraph at lines 95--102 [] Underfull \hbox (badness 10000) in paragraph at lines 110--114 [] Underfull \hbox (badness 10000) in paragraph at lines 110--114 [] Underfull \hbox (badness 10000) in paragraph at lines 110--114 [] [18] Underfull \hbox (badness 10000) in paragraph at lines 116--144 [] Underfull \hbox (badness 10000) in paragraph at lines 116--144 [] Overfull \hbox (25.43301pt too wide) in paragraph at lines 116--144 [] [] Underfull \hbox (badness 10000) in paragraph at lines 116--144 [] Underfull \hbox (badness 10000) in paragraph at lines 116--144 [] Underfull \hbox (badness 10000) in paragraph at lines 150--166 [] Underfull \hbox (badness 10000) in paragraph at lines 170--174 [] [19] Overfull \hbox (36.23656pt too wide) detected at line 176 \OML/cmm/m/it/12 A \OMS/cmsy/m/n/12  \OML/cmm/m/it/12 ERM[] \OMS/cmsy/m/n/12 ! [] [] Underfull \hbox (badness 10000) in paragraph at lines 183--185 [] Underfull \hbox (badness 10000) in paragraph at lines 190--192 [] Underfull \hbox (badness 10000) in paragraph at lines 193--204 [] [20] File: lectures/../img/lez3-img2.JPG Graphic file (type jpg) Package pdftex.def Info: lectures/../img/lez3-img2.JPG used on input line 210. (pdftex.def) Requested size: 155.99762pt x 151.66916pt. File: lectures/../img/lez3-img3.JPG Graphic file (type jpg) Package pdftex.def Info: lectures/../img/lez3-img3.JPG used on input line 221. (pdftex.def) Requested size: 155.99762pt x 132.89998pt. Underfull \hbox (badness 10000) in paragraph at lines 205--238 [] Underfull \hbox (badness 10000) in paragraph at lines 205--238 [] Underfull \hbox (badness 10000) in paragraph at lines 205--238 [] Underfull \hbox (badness 10000) in paragraph at lines 205--238 [] [21 <./lectures/../img/lez3-img2.JPG> <./lectures/../img/lez3-img3.JPG>] Underfull \hbox (badness 10000) in paragraph at lines 240--241 [] ) [22] (lectures/lecture4.tex Chapter 4. Underfull \hbox (badness 10000) in paragraph at lines 10--14 [] Underfull \hbox (badness 10000) in paragraph at lines 15--17 [] Underfull \hbox (badness 10000) in paragraph at lines 21--39 [] File: lectures/../img/lez4-img1.JPG Graphic file (type jpg) Package pdftex.def Info: lectures/../img/lez4-img1.JPG used on input line 54. (pdftex.def) Requested size: 155.99762pt x 125.95839pt. Underfull \hbox (badness 10000) in paragraph at lines 42--70 [] Underfull \hbox (badness 10000) in paragraph at lines 42--70 [] Underfull \hbox (badness 10000) in paragraph at lines 42--70 [] Underfull \hbox (badness 10000) in paragraph at lines 42--70 [] [23 ] Underfull \hbox (badness 10000) in paragraph at lines 72--74 [] File: lectures/../img/lez4-img2.JPG Graphic file (type jpg) Package pdftex.def Info: lectures/../img/lez4-img2.JPG used on input line 92. (pdftex.def) Requested size: 195.0pt x 111.225pt. Underfull \hbox (badness 10000) in paragraph at lines 77--98 [] Underfull \hbox (badness 10000) in paragraph at lines 77--98 [] [24 <./lectures/../img/lez4-img1.JPG>] File: lectures/../img/lez4-img3.JPG Graphic file (type jpg) Package pdftex.def Info: lectures/../img/lez4-img3.JPG used on input line 110. (pdftex.def) Requested size: 117.00119pt x 54.5544pt. Underfull \hbox (badness 10000) in paragraph at lines 103--114 [] LaTeX Warning: `h' float specifier changed to `ht'. [25 <./lectures/../img/lez4-img2.JPG>] Overfull \hbox (30.95695pt too wide) detected at line 129 \OML/cmm/m/it/12 X \OT1/cmr/m/n/12 = \OMS/cmsy/m/n/12 f\OML/cmm/m/it/12 Sunny; \OT1/cmr/m/n/12 50%\OML/cmm/m/it/12 ; No\OMS/cmsy/m/n/12 g ! []f\OML/cmm/m/it /12 outlook:humidity; windy\OMS/cmsy/m/n/12 g [] File: lectures/../img/lez4-img4.JPG Graphic file (type jpg) Package pdftex.def Info: lectures/../img/lez4-img4.JPG used on input line 166. (pdftex.def) Requested size: 77.99881pt x 46.64948pt. File: lectures/../img/lez4-img5.JPG Graphic file (type jpg) Package pdftex.def Info: lectures/../img/lez4-img5.JPG used on input line 174. (pdftex.def) Requested size: 77.99881pt x 56.59116pt. File: lectures/../img/lez4-img6.JPG Graphic file (type jpg) Package pdftex.def Info: lectures/../img/lez4-img6.JPG used on input line 185. (pdftex.def) Requested size: 312.00119pt x 143.0224pt. LaTeX Warning: Command \textquoteright invalid in math mode on input line 189. File: lectures/../img/lez4-img7.JPG Graphic file (type jpg) Package pdftex.def Info: lectures/../img/lez4-img7.JPG used on input line 192. (pdftex.def) Requested size: 272.99881pt x 382.20868pt. ) Underfull \hbox (badness 10000) in paragraph at lines 156--99 [] Underfull \hbox (badness 10000) in paragraph at lines 156--99 [] [26 <./lectures/../img/lez4-img3.JPG>] LaTeX Warning: `h' float specifier changed to `ht'. [27 <./lectures/../img/lez4-img4.JPG> <./lectures/../img/lez4-img5.JPG> <./lect ures/../img/lez4-img6.JPG>] (lectures/lecture5.tex [28 <./lectures/../img/lez4- img7.JPG>] Chapter 5. File: lectures/../img/lez5-img1.JPG Graphic file (type jpg) Package pdftex.def Info: lectures/../img/lez5-img1.JPG used on input line 15. (pdftex.def) Requested size: 155.99762pt x 150.77046pt. Underfull \hbox (badness 10000) in paragraph at lines 8--20 [] Underfull \hbox (badness 10000) in paragraph at lines 22--26 [] Underfull \hbox (badness 10000) in paragraph at lines 41--44 [] [29 <./lectures/../img/lez5-img1.JPG>] File: lectures/../img/lez5-img2.JPG Graphic file (type jpg) Package pdftex.def Info: lectures/../img/lez5-img2.JPG used on input line 67. (pdftex.def) Requested size: 312.00119pt x 133.63785pt. [30 <./lectures/../img/lez5-img2.JPG>] File: lectures/../img/lez5-img3.JPG Graphic file (type jpg) Package pdftex.def Info: lectures/../img/lez5-img3.JPG used on input line 83. (pdftex.def) Requested size: 155.99762pt x 56.29654pt. Underfull \hbox (badness 10000) in paragraph at lines 79--89 [] File: lectures/../img/lez5-img4.JPG Graphic file (type jpg) Package pdftex.def Info: lectures/../img/lez5-img4.JPG used on input line 94. (pdftex.def) Requested size: 195.0pt x 164.76955pt. Underfull \hbox (badness 10000) in paragraph at lines 91--99 [] Underfull \hbox (badness 10000) in paragraph at lines 100--104 [] Underfull \hbox (badness 10000) in paragraph at lines 106--113 [] Underfull \hbox (badness 10000) in paragraph at lines 106--113 [] Underfull \hbox (badness 10000) in paragraph at lines 106--113 [] [31 <./lectures/../img/lez5-img3.JPG> <./lectures/../img/lez5-img4.JPG>] File: lectures/../img/lez5-img5.JPG Graphic file (type jpg) Package pdftex.def Info: lectures/../img/lez5-img5.JPG used on input line 116. (pdftex.def) Requested size: 155.99762pt x 118.68321pt. Underfull \hbox (badness 10000) in paragraph at lines 113--123 [] Underfull \hbox (badness 10000) in paragraph at lines 113--123 [] Underfull \hbox (badness 10000) in paragraph at lines 131--158 [] Underfull \hbox (badness 10000) in paragraph at lines 131--158 [] Underfull \hbox (badness 10000) in paragraph at lines 131--158 [] Underfull \hbox (badness 10000) in paragraph at lines 131--158 [] Underfull \hbox (badness 10000) in paragraph at lines 131--158 [] [32 <./lectures/../img/lez5-img5.JPG>] Underfull \hbox (badness 10000) in paragraph at lines 161--163 [] File: lectures/../img/lez5-img6.JPG Graphic file (type jpg) Package pdftex.def Info: lectures/../img/lez5-img6.JPG used on input line 171. (pdftex.def) Requested size: 312.00119pt x 149.90103pt. Underfull \hbox (badness 10000) in paragraph at lines 164--179 [] Underfull \hbox (badness 10000) in paragraph at lines 164--179 [] Underfull \hbox (badness 10000) in paragraph at lines 185--187 [] File: lectures/../img/lez5-img7.JPG Graphic file (type jpg) Package pdftex.def Info: lectures/../img/lez5-img7.JPG used on input line 192. (pdftex.def) Requested size: 234.00238pt x 96.56522pt. File: lectures/../img/lez5-img8.JPG Graphic file (type jpg) Package pdftex.def Info: lectures/../img/lez5-img8.JPG used on input line 198. (pdftex.def) Requested size: 155.99762pt x 109.58841pt. LaTeX Warning: `h' float specifier changed to `ht'. LaTeX Warning: `h' float specifier changed to `ht'. [33 <./lectures/../img/lez5-img6.JPG>] File: lectures/../img/lez5-img9.JPG Graphic file (type jpg) Package pdftex.def Info: lectures/../img/lez5-img9.JPG used on input line 218. (pdftex.def) Requested size: 155.99762pt x 95.86911pt. [34 <./lectures/../img/lez5-img7.JPG> <./lectures/../img/lez5-img8.JPG> <./lec tures/../img/lez5-img9.JPG>] LaTeX Warning: Command \textquoteright invalid in math mode on input line 236. LaTeX Warning: Command \textquoteright invalid in math mode on input line 236. File: lectures/../img/lez5-img10.JPG Graphic file (type jpg) Package pdftex.def Info: lectures/../img/lez5-img10.JPG used on input line 240 . (pdftex.def) Requested size: 272.99881pt x 178.77272pt. Underfull \hbox (badness 10000) in paragraph at lines 229--245 [] Underfull \hbox (badness 10000) in paragraph at lines 229--245 [] Underfull \hbox (badness 10000) in paragraph at lines 255--265 [] Underfull \hbox (badness 10000) in paragraph at lines 255--265 [] [35 <./lectures/../img/lez5-img10.JPG>] Underfull \hbox (badness 10000) in paragraph at lines 267--273 [] Underfull \hbox (badness 10000) in paragraph at lines 267--273 [] ) [36] [37] (lectures/lecture6.tex Chapter 6. Underfull \hbox (badness 10000) in paragraph at lines 5--17 [] Underfull \hbox (badness 10000) in paragraph at lines 21--27 [] Underfull \hbox (badness 10000) in paragraph at lines 40--46 [] Underfull \hbox (badness 10000) in paragraph at lines 40--46 [] Underfull \hbox (badness 10000) in paragraph at lines 48--52 [] Underfull \hbox (badness 10000) in paragraph at lines 48--52 [] [38 ] Underfull \hbox (badness 10000) in paragraph at lines 53--57 [] Overfull \hbox (22.00105pt too wide) detected at line 62 [] \U/msb/m/n/12 E [] \OT1/cmr/m/n/12 = \U/msb/m/n/12 E\OT1/cmr/m/n/12 [\OML/cm m/m/it/12 X\OT1/cmr/m/n/12 ] + \U/msb/m/n/12 E\OT1/cmr/m/n/12 [\OML/cmm/m/it/12 Y\OT1/cmr/m/n/12 ] = \OML/cmm/m/it/12 argmin \U/msb/m/n/12 E [] \OT1/cmr/m/n/1 2 = [] Underfull \hbox (badness 10000) in paragraph at lines 62--66 [] File: lectures/../img/lez6-img0.JPG Graphic file (type jpg) Package pdftex.def Info: lectures/../img/lez6-img0.JPG used on input line 85. (pdftex.def) Requested size: 39.00238pt x 31.76602pt. Underfull \hbox (badness 10000) in paragraph at lines 81--92 [] Underfull \hbox (badness 10000) in paragraph at lines 94--100 [] [39 <./lectures/../img/lez6-img0.JPG>] Underfull \hbox (badness 10000) in paragraph at lines 105--107 [] Underfull \hbox (badness 10000) in paragraph at lines 118--122 [] Overfull \hbox (13.10564pt too wide) detected at line 133 \OML/cmm/m/it/12 X \U/msa/m/n/12 v \OML/cmm/m/it/12 D[] [][]\OMS/cmsy/m/n/12 ! [][] [] [40] File: lectures/../img/lez6-img1.JPG Graphic file (type jpg) Package pdftex.def Info: lectures/../img/lez6-img1.JPG used on input line 144. (pdftex.def) Requested size: 234.00238pt x 99.31967pt. File: lectures/../img/lez6-img2.JPG Graphic file (type jpg) Package pdftex.def Info: lectures/../img/lez6-img2.JPG used on input line 158. (pdftex.def) Requested size: 234.00238pt x 58.93352pt. [41 <./lectures/../img/lez6-img1.JPG> <./lectures/../img/lez6-img2.JPG>] Underfull \hbox (badness 10000) in paragraph at lines 165--167 [] File: lectures/../img/lez6-img3.JPG Graphic file (type jpg) Package pdftex.def Info: lectures/../img/lez6-img3.JPG used on input line 175. (pdftex.def) Requested size: 272.99881pt x 115.93051pt. Underfull \hbox (badness 10000) in paragraph at lines 188--192 [] Overfull \hbox (55.32307pt too wide) detected at line 194 \OT1/cmr/m/n/12 = \OML/cmm/m/it/12 argmin \OT1/cmr/m/n/12 ( \OML/cmm/m/it/12 I\ OMS/cmsy/m/n/12 f[] \OT1/cmr/m/n/12 = 1\OMS/cmsy/m/n/12 g  \U/msb/m/n/12 E [] \OT1/cmr/m/n/12 + \OML/cmm/m/it/12 I\OMS/cmsy/m/n/12 f[] \OT1/cmr/m/n/12 = \OMS /cmsy/m/n/12 \OT1/cmr/m/n/12 1\OMS/cmsy/m/n/12 g  \U/msb/m/n/12 E [] \OT1/cmr /m/n/12 ) = [][] [] Underfull \hbox (badness 10000) in paragraph at lines 199--200 [] Underfull \hbox (badness 10000) in paragraph at lines 202--208 [] [42 <./lectures/../img/lez6-img3.JPG>] Underfull \hbox (badness 10000) in paragraph at lines 229--233 [] File: lectures/../img/lez6-img4.JPG Graphic file (type jpg) Package pdftex.def Info: lectures/../img/lez6-img4.JPG used on input line 246. (pdftex.def) Requested size: 272.99881pt x 132.1502pt. ) [43 <./lectures/../img/lez6-img4.JPG>] [44] (lectures/lecture7.tex Chapter 7. Underfull \hbox (badness 10000) in paragraph at lines 4--6 [] Underfull \hbox (badness 10000) in paragraph at lines 12--27 [] Underfull \hbox (badness 10000) in paragraph at lines 12--27 [] Underfull \hbox (badness 10000) in paragraph at lines 29--33 [] Underfull \hbox (badness 10000) in paragraph at lines 46--49 [] Overfull \hbox (0.51405pt too wide) detected at line 54 \U/msb/m/n/12 P [] \OMS/cmsy/m/n/12  \OML/cmm/m/it/12 e[] or \U/msb/m/n/12 P [ ] \OMS/cmsy/m/n/12  \OML/cmm/m/it/12 e[] [] [45 ] File: lectures/../img/lez7-img1.JPG Graphic file (type jpg) Package pdftex.def Info: lectures/../img/lez7-img1.JPG used on input line 73. (pdftex.def) Requested size: 117.00119pt x 55.0047pt. Underfull \hbox (badness 10000) in paragraph at lines 70--79 [] Underfull \hbox (badness 10000) in paragraph at lines 70--79 [] Underfull \hbox (badness 10000) in paragraph at lines 81--87 [] File: lectures/../img/lez7-img2.JPG Graphic file (type jpg) Package pdftex.def Info: lectures/../img/lez7-img2.JPG used on input line 98. (pdftex.def) Requested size: 77.99881pt x 71.37688pt. LaTeX Warning: `h' float specifier changed to `ht'. Overfull \hbox (27.96684pt too wide) detected at line 111 \U/msb/m/n/12 P [] \OMS/cmsy/m/n/12  \U/msb/m/n/12 P [] \OMS/cmsy/m/n/12 [ \ U/msb/m/n/12 P [] \OMS/cmsy/m/n/12  [] [46 <./lectures/../img/lez7-img1.JPG>] Overfull \hbox (4.4292pt too wide) detected at line 118 \OMS/cmsy/m/n/12  \U/msb/m/n/12 P [] \OT1/cmr/m/n/12 + \U/msb/m/n/12 P [] \OM S/cmsy/m/n/12  \OT1/cmr/m/n/12 2 \OMS/cmsy/m/n/12  \OML/cmm/m/it/12 e[] \OM S/cmsy/m/n/12 ) [][] [] Underfull \hbox (badness 10000) in paragraph at lines 122--125 [] File: lectures/../img/lez7-img3.JPG Graphic file (type jpg) Package pdftex.def Info: lectures/../img/lez7-img3.JPG used on input line 132. (pdftex.def) Requested size: 195.0pt x 62.73308pt. Underfull \hbox (badness 10000) in paragraph at lines 127--145 [] [47 <./lectures/../img/lez7-img2.JPG> <./lectures/../img/lez7-img3.JPG>] Underfull \hbox (badness 10000) in paragraph at lines 147--159 [] Underfull \hbox (badness 10000) in paragraph at lines 147--159 [] Overfull \hbox (76.34352pt too wide) detected at line 161 \OML/cmm/m/it/12 `[] [] \OT1/cmr/m/n/12 = \OML/cmm/m/it/12 min `[] [] [] [] [] `[] [] [][]\OMS/cmsy/m/n/12 ! [] [] File: lectures/../img/lez7-img4.JPG Graphic file (type jpg) Package pdftex.def Info: lectures/../img/lez7-img4.JPG used on input line 165. (pdftex.def) Requested size: 117.00119pt x 36.9666pt. File: lectures/../img/lez7-img5.JPG Graphic file (type jpg) Package pdftex.def Info: lectures/../img/lez7-img5.JPG used on input line 172. (pdftex.def) Requested size: 117.00119pt x 54.55045pt. LaTeX Warning: Command \textquoteright invalid in math mode on input line 176. Underfull \hbox (badness 10000) in paragraph at lines 161--186 [] Underfull \hbox (badness 10000) in paragraph at lines 161--186 [] Underfull \hbox (badness 10000) in paragraph at lines 186--193 [] Underfull \hbox (badness 10000) in paragraph at lines 186--193 [] Underfull \hbox (badness 10000) in paragraph at lines 186--193 [] [48 <./lectures/../img/lez7-img4.JPG> <./lectures/../img/lez7-img5.JPG>] Underfull \hbox (badness 10000) in paragraph at lines 201--203 [] File: lectures/../img/lez7-img6.JPG Graphic file (type jpg) Package pdftex.def Info: lectures/../img/lez7-img6.JPG used on input line 217. (pdftex.def) Requested size: 195.0pt x 124.17337pt. Underfull \hbox (badness 10000) in paragraph at lines 206--224 [] Underfull \hbox (badness 10000) in paragraph at lines 206--224 [] Underfull \hbox (badness 10000) in paragraph at lines 206--224 [] [49 <./lectures/../img/lez7-img6.JPG>] Underfull \hbox (badness 10000) in paragraph at lines 251--257 [] Underfull \hbox (badness 10000) in paragraph at lines 251--257 [] Underfull \hbox (badness 10000) in paragraph at lines 259--265 [] Underfull \hbox (badness 10000) in paragraph at lines 271--273 [] [50]) Underfull \hbox (badness 10000) in paragraph at lines 295--111 [] [51] (lectures/lecture8.tex Chapter 8. Underfull \hbox (badness 10000) in paragraph at lines 10--13 [] Underfull \hbox (badness 10000) in paragraph at lines 21--25 [] Overfull \hbox (74.73193pt too wide) detected at line 27 \OML/cmm/m/it/12 `[] [] \OMS/cmsy/m/n/12  \OML/cmm/m/it/12 `[] [] \OT1/cmr/m /n/12 + [] [] [] File: lectures/../img/lez8-img1.JPG Graphic file (type jpg) Package pdftex.def Info: lectures/../img/lez8-img1.JPG used on input line 32. (pdftex.def) Requested size: 195.0pt x 131.37057pt. Underfull \hbox (badness 10000) in paragraph at lines 27--38 [] Underfull \hbox (badness 10000) in paragraph at lines 27--38 [] Underfull \hbox (badness 10000) in paragraph at lines 42--47 [] [52 <./lectures/../img/lez8-img1.JPG>] Overfull \hbox (22.02261pt too wide) detected at line 51 \OMS/cmsy/m/n/12 8\OML/cmm/m/it/12 h \OMS/cmsy/m/n/12 2 \OML/cmm/m/it/12 H []\O T1/cmr/m/n/12 (\OML/cmm/m/it/12 h\OT1/cmr/m/n/12 ) \OMS/cmsy/m/n/12 \OML/cmm/ m/it/12 `[] [] \OMS/cmsy/m/n/12  [] [] [] File: lectures/../img/lez8-img2.JPG Graphic file (type jpg) Package pdftex.def Info: lectures/../img/lez8-img2.JPG used on input line 55. (pdftex.def) Requested size: 195.0pt x 52.5011pt. Underfull \hbox (badness 10000) in paragraph at lines 51--61 [] Underfull \hbox (badness 10000) in paragraph at lines 62--71 [] Underfull \hbox (badness 10000) in paragraph at lines 62--71 [] Underfull \hbox (badness 10000) in paragraph at lines 74--104 [] Underfull \hbox (badness 10000) in paragraph at lines 74--104 [] Underfull \hbox (badness 10000) in paragraph at lines 74--104 [] Underfull \hbox (badness 10000) in paragraph at lines 74--104 [] [53 <./lectures/../img/lez8-img2.JPG>] [54] Underfull \hbox (badness 10000) in paragraph at lines 125--133 [] File: lectures/../img/lez8-img3.JPG Graphic file (type jpg) Package pdftex.def Info: lectures/../img/lez8-img3.JPG used on input line 144. (pdftex.def) Requested size: 195.0pt x 59.7786pt. File: lectures/../img/lez8-img4.JPG Graphic file (type jpg) Package pdftex.def Info: lectures/../img/lez8-img4.JPG used on input line 165. (pdftex.def) Requested size: 234.00238pt x 85.03378pt. [55 <./lectures/../img/lez8-img3.JPG>] Underfull \hbox (badness 10000) in paragraph at lines 183--186 [] Underfull \hbox (badness 10000) in paragraph at lines 188--195 [] File: lectures/../img/lez8-img5.JPG Graphic file (type jpg) Package pdftex.def Info: lectures/../img/lez8-img5.JPG used on input line 206. (pdftex.def) Requested size: 312.00119pt x 84.1262pt. [56 <./lectures/../img/lez8-img4.JPG>]) [57 <./lectures/../img/lez8-img5.JPG>] (lectures/lecture9.tex Chapter 9. Underfull \hbox (badness 10000) in paragraph at lines 5--7 [] Underfull \hbox (badness 10000) in paragraph at lines 9--12 [] File: lectures/../img/lez9-img1.JPG Graphic file (type jpg) Package pdftex.def Info: lectures/../img/lez9-img1.JPG used on input line 27. (pdftex.def) Requested size: 234.00238pt x 207.33296pt. Underfull \hbox (badness 10000) in paragraph at lines 18--40 [] Underfull \hbox (badness 10000) in paragraph at lines 18--40 [] [58 <./lectures/../img/lez9-img1.JPG>] Underfull \hbox (badness 10000) in paragraph at lines 42--55 [] Underfull \hbox (badness 10000) in paragraph at lines 42--55 [] Underfull \hbox (badness 10000) in paragraph at lines 42--55 [] Overfull \hbox (72.7222pt too wide) detected at line 63 \OMS/cmsy/m/n/12 j\OML/cmm/m/it/12 H[]\OMS/cmsy/m/n/12 j \OT1/cmr/m/n/12 = [] \ OMS/cmsy/m/n/12  []  [] [] File: lectures/../img/lez9-img2.JPG Graphic file (type jpg) Package pdftex.def Info: lectures/../img/lez9-img2.JPG used on input line 70. (pdftex.def) Requested size: 234.00238pt x 235.27356pt. Underfull \hbox (badness 10000) in paragraph at lines 66--74 [] [59 <./lectures/../img/lez9-img2.JPG>] Underfull \hbox (badness 10000) in paragraph at lines 84--90 [] Underfull \hbox (badness 10000) in paragraph at lines 95--102 [] Underfull \hbox (badness 10000) in paragraph at lines 103--112 [] [60] Underfull \hbox (badness 10000) in paragraph at lines 145--148 [] Underfull \hbox (badness 10000) in paragraph at lines 164--184 [] Underfull \hbox (badness 10000) in paragraph at lines 164--184 [] Underfull \hbox (badness 10000) in paragraph at lines 164--184 [] Underfull \hbox (badness 10000) in paragraph at lines 164--184 [] Underfull \hbox (badness 10000) in paragraph at lines 186--189 [] Underfull \hbox (badness 10000) in paragraph at lines 190--197 [] Underfull \hbox (badness 10000) in paragraph at lines 190--197 [] [61] Underfull \hbox (badness 10000) in paragraph at lines 204--207 [] File: lectures/../img/lez9-img3.JPG Graphic file (type jpg) Package pdftex.def Info: lectures/../img/lez9-img3.JPG used on input line 215. (pdftex.def) Requested size: 234.00238pt x 133.93207pt. ) Underfull \hbox (badness 10000) in paragraph at lines 209--119 [] Underfull \hbox (badness 10000) in paragraph at lines 209--119 [] [62 <./lectures/../img/lez9-img3.JPG>] [63] (lectures/lecture10.tex Chapter 10. LaTeX Font Warning: Command \small invalid in math mode on input line 11. Overfull \hbox (66.38124pt too wide) detected at line 12 \U/msb/m/n/12 E [] \OT1/cmr/m/n/12 = [] \U/msb/m/n/12 E [] [][] [] Underfull \hbox (badness 10000) in paragraph at lines 12--14 [] Overfull \hbox (15.39592pt too wide) detected at line 16 \OML/cmm/m/it/12 x \OMS/cmsy/m/n/12 2 \U/msb/m/n/12 R[] P\OT1/cmr/m/n/12 (\OML/ cmm/m/it/12 Y[] \OT1/cmr/m/n/12 = 1) = [] [] \U/msb/m/n/12 E [] \OT1/cmr/m/n/12 = [][] [] Underfull \hbox (badness 10000) in paragraph at lines 22--24 [] Overfull \hbox (34.69075pt too wide) detected at line 26 \OML/cmm/m/it/12 Y[] \OT1/cmr/m/n/12 = 1 \OML/cmm/m/it/12 and \OT1/cmr/m/n/12 (\OML/cmm/m/it/12 s; x\OT1/cmr/m/n/12 ) = \OML/cmm/m/it/12 t [] [] [] Overfull \hbox (66.98631pt too wide) detected at line 30 \OT1/cmr/m/n/12 = [] \U/msb/m/n/12 E [] \OT1/cmr/m/n/12 = [] \U/msb/m/n/12 E [] \OT1/cmr/m/n/12 = [] Underfull \hbox (badness 10000) in paragraph at lines 36--38 [] Overfull \hbox (17.79483pt too wide) detected at line 46 \OT1/cmr/m/n/12 = \U/msb/m/n/12 E [] \OT1/cmr/m/n/12 = \U/msb/m/n/12 E [] \OT1/ cmr/m/n/12 = [] Overfull \hbox (4.56644pt too wide) detected at line 53 \OT1/cmr/m/n/12 = \U/msb/m/n/12 E [] \OT1/cmr/m/n/12 = \U/msb/m/n/12 E [] \OT1/ cmr/m/n/12 = [] [64 ] Overfull \hbox (17.46814pt too wide) detected at line 61 \U/msb/m/n/12 E [] \OT1/cmr/m/n/12 = \U/msb/m/n/12 P [] \OT1/cmr/m/n/12 = \U/ms b/m/n/12 P [] \OT1/cmr/m/n/12 + \U/msb/m/n/12 P [] [] Underfull \hbox (badness 10000) in paragraph at lines 64--68 [] Underfull \hbox (badness 10000) in paragraph at lines 74--75 [] Underfull \hbox (badness 10000) in paragraph at lines 77--80 [] File: lectures/../img/lez10-img1.JPG Graphic file (type jpg) Package pdftex.def Info: lectures/../img/lez10-img1.JPG used on input line 84. (pdftex.def) Requested size: 234.00238pt x 193.43755pt. LaTeX Warning: `h' float specifier changed to `ht'. Underfull \hbox (badness 10000) in paragraph at lines 109--112 [] Underfull \hbox (badness 10000) in paragraph at lines 109--112 [] [65] File: lectures/../img/lez10-img2.JPG Graphic file (type jpg) Package pdftex.def Info: lectures/../img/lez10-img2.JPG used on input line 131 . (pdftex.def) Requested size: 234.00238pt x 163.98476pt. LaTeX Warning: `h' float specifier changed to `ht'. ) [66 <./lectures/../img/lez10-img1.JPG>] (lectures/lecture11.tex [67 <./lectur es/../img/lez10-img2.JPG>] Chapter 11. File: lectures/../img/lez11-img1.JPG Graphic file (type jpg) Package pdftex.def Info: lectures/../img/lez11-img1.JPG used on input line 21. (pdftex.def) Requested size: 234.00238pt x 164.21324pt. Underfull \hbox (badness 10000) in paragraph at lines 9--39 [] Underfull \hbox (badness 10000) in paragraph at lines 9--39 [] Underfull \hbox (badness 10000) in paragraph at lines 9--39 [] [68 <./lectures/../img/lez11-img1.JPG>] File: lectures/../img/lez11-img2.JPG Graphic file (type jpg) Package pdftex.def Info: lectures/../img/lez11-img2.JPG used on input line 53. (pdftex.def) Requested size: 39.00238pt x 32.1217pt. Underfull \hbox (badness 10000) in paragraph at lines 45--65 [] Underfull \hbox (badness 10000) in paragraph at lines 45--65 [] Overfull \hbox (29.38765pt too wide) detected at line 80 \U/msb/m/n/12 E [] \OT1/cmr/m/n/12 + 2 \OMS/cmsy/m/n/12  []  [] \OML/cmm /m/it/12 I\OMS/cmsy/m/n/12 f\OML/cmm/m/it/12 X \OMS/cmsy/m/n/12 2 \OML/cmm/m/it /12 C[]\OMS/cmsy/m/n/12 g  \OML/cmm/m/it/12 I\OMS/cmsy/m/n/12 f\OML/cmm/m/it/1 2 C[] \OMS/cmsy/m/n/12 \ \OML/cmm/m/it/12 S \OMS/cmsy/m/n/12 6\OT1/cmr/m/n/12 = 0\OMS/cmsy/m/n/12 g \OT1/cmr/m/n/12 = [] Overfull \hbox (75.62454pt too wide) detected at line 92 \OT1/cmr/m/n/12 = \OML/cmm/m/it/12 " \OMS/cmsy/m/n/12  []  \U/msb/m/n/12 E [] \OT1/cmr/m/n/12 + 2 \OMS/cmsy/m/n/12  []  [] \U/msb/m/n/12 E [] \OMS/cm sy/m/n/12  [] Underfull \hbox (badness 10000) in paragraph at lines 123--125 [] [69 <./lectures/../img/lez11-img2.JPG>] File: lectures/../img/lez11-img3.JPG Graphic file (type jpg) Package pdftex.def Info: lectures/../img/lez11-img3.JPG used on input line 135 . (pdftex.def) Requested size: 77.99881pt x 41.1541pt. Underfull \hbox (badness 10000) in paragraph at lines 127--139 [] Underfull \hbox (badness 10000) in paragraph at lines 153--157 [] Underfull \hbox (badness 10000) in paragraph at lines 166--170 [] [70 <./lectures/../img/lez11-img3.JPG>] Underfull \hbox (badness 10000) in paragraph at lines 193--195 [] LaTeX Warning: Command \textbullet invalid in math mode on input line 219. LaTeX Warning: Command \textbullet invalid in math mode on input line 219. Missing character: There is no ˆ in font cmr12! LaTeX Warning: Command \textbullet invalid in math mode on input line 219. LaTeX Warning: Command \textbullet invalid in math mode on input line 219. Missing character: There is no ˆ in font cmr12! LaTeX Warning: Command \textbullet invalid in math mode on input line 219. LaTeX Warning: Command \textbullet invalid in math mode on input line 219. Missing character: There is no ˆ in font cmr8! LaTeX Warning: Command \textbullet invalid in math mode on input line 219. LaTeX Warning: Command \textbullet invalid in math mode on input line 219. Missing character: There is no ˆ in font cmr6! Underfull \hbox (badness 10000) in paragraph at lines 217--221 [] Underfull \hbox (badness 10000) in paragraph at lines 223--229 [] Underfull \hbox (badness 10000) in paragraph at lines 223--229 [] Underfull \hbox (badness 10000) in paragraph at lines 233--251 [] Underfull \hbox (badness 10000) in paragraph at lines 233--251 [] [71] Underfull \hbox (badness 10000) in paragraph at lines 253--256 [] Underfull \hbox (badness 10000) in paragraph at lines 253--256 [] Underfull \hbox (badness 10000) in paragraph at lines 262--268 [] Underfull \hbox (badness 10000) in paragraph at lines 270--287 [] Underfull \hbox (badness 10000) in paragraph at lines 270--287 [] Underfull \hbox (badness 10000) in paragraph at lines 270--287 [] Underfull \hbox (badness 10000) in paragraph at lines 270--287 [] [72] File: lectures/../img/lez11-img4.JPG Graphic file (type jpg) Package pdftex.def Info: lectures/../img/lez11-img4.JPG used on input line 311 . (pdftex.def) Requested size: 195.0pt x 87.66011pt. Underfull \hbox (badness 10000) in paragraph at lines 296--333 [] Underfull \hbox (badness 10000) in paragraph at lines 296--333 [] Underfull \hbox (badness 10000) in paragraph at lines 296--333 [] Underfull \hbox (badness 10000) in paragraph at lines 296--333 [] Underfull \hbox (badness 10000) in paragraph at lines 296--333 [] Underfull \hbox (badness 10000) in paragraph at lines 296--333 [] Underfull \hbox (badness 10000) in paragraph at lines 296--333 [] [73]) [74 <./lectures/../img/lez11-img4.JPG>] (lectures/lecture12.tex Chapter 12. Underfull \hbox (badness 10000) in paragraph at lines 8--17 [] Underfull \hbox (badness 10000) in paragraph at lines 8--17 [] File: lectures/../img/lez12-img1.JPG Graphic file (type jpg) Package pdftex.def Info: lectures/../img/lez12-img1.JPG used on input line 35. (pdftex.def) Requested size: 234.00238pt x 119.24121pt. Underfull \hbox (badness 10000) in paragraph at lines 32--44 [] Underfull \hbox (badness 10000) in paragraph at lines 32--44 [] LaTeX Warning: `h' float specifier changed to `ht'. [75 ] Underfull \hbox (badness 10000) in paragraph at lines 49--60 [] [76 <./lectures/../img/lez12-img1.JPG>] Underfull \hbox (badness 10000) in paragraph at lines 65--67 [] File: lectures/../img/lez12-img2.JPG Graphic file (type jpg) Package pdftex.def Info: lectures/../img/lez12-img2.JPG used on input line 83. (pdftex.def) Requested size: 77.99881pt x 73.51778pt. Underfull \hbox (badness 10000) in paragraph at lines 80--88 [] File: lectures/../img/lez12-img3.JPG Graphic file (type jpg) Package pdftex.def Info: lectures/../img/lez12-img3.JPG used on input line 108 . (pdftex.def) Requested size: 77.99881pt x 81.32059pt. LaTeX Warning: `h' float specifier changed to `ht'. File: lectures/../img/lez12-img4.JPG Graphic file (type jpg) Package pdftex.def Info: lectures/../img/lez12-img4.JPG used on input line 124 . (pdftex.def) Requested size: 155.99762pt x 130.43692pt. [77 <./lectures/../img/lez12-img2.JPG>] File: lectures/../img/lez12-img5.JPG Graphic file (type jpg) Package pdftex.def Info: lectures/../img/lez12-img5.JPG used on input line 147 . (pdftex.def) Requested size: 234.00238pt x 99.15414pt. LaTeX Warning: `h' float specifier changed to `ht'. [78 <./lectures/../img/lez12-img3.JPG> <./lectures/../img/lez12-img4.JPG>] File: lectures/../img/lez12-img6.JPG Graphic file (type jpg) Package pdftex.def Info: lectures/../img/lez12-img6.JPG used on input line 156 . (pdftex.def) Requested size: 117.00119pt x 99.64392pt. Underfull \hbox (badness 10000) in paragraph at lines 173--176 [] [79 <./lectures/../img/lez12-img5.JPG> <./lectures/../img/lez12-img6.JPG>] File: lectures/../img/lez12-img7.JPG Graphic file (type jpg) Package pdftex.def Info: lectures/../img/lez12-img7.JPG used on input line 180 . (pdftex.def) Requested size: 234.00238pt x 168.66693pt. Underfull \hbox (badness 10000) in paragraph at lines 177--187 [] Underfull \hbox (badness 10000) in paragraph at lines 189--194 [] Underfull \hbox (badness 10000) in paragraph at lines 199--210 [] Underfull \hbox (badness 10000) in paragraph at lines 199--210 [] [80 <./lectures/../img/lez12-img7.JPG>]) [81] (main.bbl LaTeX Warning: Empty `thebibliography' environment on input line 3. ) [82 ] (main.aux) ) Here is how much of TeX's memory you used: 5532 strings out of 480934 81536 string characters out of 2909670 336249 words of memory out of 3000000 21168 multiletter control sequences out of 15000+200000 561784 words of font info for 96 fonts, out of 3000000 for 9000 1141 hyphenation exceptions out of 8191 34i,13n,42p,311b,358s stack positions out of 5000i,500n,10000p,200000b,50000s Output written on main.pdf (83 pages, 2198987 bytes). PDF statistics: 838 PDF objects out of 1000 (max. 8388607) 0 named destinations out of 1000 (max. 500000) 281 words of extra memory for PDF output out of 10000 (max. 10000000)