Jump to content
Main menu
Main menu
move to sidebar
hide
Navigation
Main page
Recent changes
Random page
freem
Search
Search
Appearance
Create account
Log in
Personal tools
Create account
Log in
Pages for logged out editors
learn more
Contributions
Talk
Editing
Openai/693e3ce6-229c-8008-97dc-ab720cb1f95a
(section)
Add languages
Page
Discussion
English
Read
Edit
Edit source
View history
Tools
Tools
move to sidebar
hide
Actions
Read
Edit
Edit source
View history
General
What links here
Related changes
Special pages
Page information
Appearance
move to sidebar
hide
Warning:
You are not logged in. Your IP address will be publicly visible if you make any edits. If you
log in
or
create an account
, your edits will be attributed to your username, along with other benefits.
Anti-spam check. Do
not
fill this in!
=== User: fix the bugs "This is pdfTeX, Version 3.141592653-2.6-1.40.27 TeX Live 2025 preloaded formatpdflatex 2025.10.27 15 DE⦠=== fix the bugs "This is pdfTeX, Version 3.141592653-2.6-1.40.27 (TeX Live 2025) (preloaded format=pdflatex 2025.10.27) 15 DEC 2025 16:06 entering extended mode \write18 enabled. %&-line parsing enabled. **00_main.tex (./00_main.tex LaTeX2e <2025-06-01> patch level 1 L3 programming layer <2025-05-26> (/usr/local/texlive/2025/texmf-dist/tex/latex/base/article.cls Document Class: article 2025/01/22 v1.4n Standard LaTeX document class (/usr/local/texlive/2025/texmf-dist/tex/latex/base/size11.clo File: size11.clo 2025/01/22 v1.4n Standard LaTeX file (size option) ) \c@part=\count275 \c@section=\count276 \c@subsection=\count277 \c@subsubsection=\count278 \c@paragraph=\count279 \c@subparagraph=\count280 \c@figure=\count281 \c@table=\count282 \abovecaptionskip=\skip49 \belowcaptionskip=\skip50 \bibindent=\dimen148 ) (/usr/local/texlive/2025/texmf-dist/tex/latex/amsmath/amsmath.sty Package: amsmath 2025/05/18 v2.17x AMS math features \@mathmargin=\skip51 For additional information on amsmath, use the ?' option. (/usr/local/texlive/2025/texmf-dist/tex/latex/amsmath/amstext.sty Package: amstext 2024/11/17 v2.01 AMS text (/usr/local/texlive/2025/texmf-dist/tex/latex/amsmath/amsgen.sty File: amsgen.sty 1999/11/30 v2.0 generic functions \@emptytoks=\toks17 \ex@=\dimen149 )) (/usr/local/texlive/2025/texmf-dist/tex/latex/amsmath/amsbsy.sty Package: amsbsy 1999/11/29 v1.2d Bold Symbols \pmbraise@=\dimen150 ) (/usr/local/texlive/2025/texmf-dist/tex/latex/amsmath/amsopn.sty Package: amsopn 2022/04/08 v2.04 operator names ) \inf@bad=\count283 LaTeX Info: Redefining \frac on input line 233. \uproot@=\count284 \leftroot@=\count285 LaTeX Info: Redefining \overline on input line 398. LaTeX Info: Redefining \colon on input line 409. \classnum@=\count286 \DOTSCASE@=\count287 LaTeX Info: Redefining \ldots on input line 495. LaTeX Info: Redefining \dots on input line 498. LaTeX Info: Redefining \cdots on input line 619. \Mathstrutbox@=\box53 \strutbox@=\box54 LaTeX Info: Redefining \big on input line 721. LaTeX Info: Redefining \Big on input line 722. LaTeX Info: Redefining \bigg on input line 723. LaTeX Info: Redefining \Bigg on input line 724. \big@size=\dimen151 LaTeX Font Info: Redeclaring font encoding OML on input line 742. LaTeX Font Info: Redeclaring font encoding OMS on input line 743. \macc@depth=\count288 LaTeX Info: Redefining \bmod on input line 904. LaTeX Info: Redefining \pmod on input line 909. LaTeX Info: Redefining \smash on input line 939. LaTeX Info: Redefining \relbar on input line 969. LaTeX Info: Redefining \Relbar on input line 970. \c@MaxMatrixCols=\count289 \dotsspace@=\muskip17 \c@parentequation=\count290 \dspbrk@lvl=\count291 \tag@help=\toks18 \row@=\count292 \column@=\count293 \maxfields@=\count294 \andhelp@=\toks19 \eqnshift@=\dimen152 \alignsep@=\dimen153 \tagshift@=\dimen154 \tagwidth@=\dimen155 \totwidth@=\dimen156 \lineht@=\dimen157 \@envbody=\toks20 \multlinegap=\skip52 \multlinetaggap=\skip53 \mathdisplay@stack=\toks21 LaTeX Info: Redefining \[ on input line 2949. LaTeX Info: Redefining \] on input line 2950. ) (/usr/local/texlive/2025/texmf-dist/tex/latex/amsfonts/amssymb.sty Package: amssymb 2013/01/14 v3.01 AMS font symbols (/usr/local/texlive/2025/texmf-dist/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. )) (/usr/local/texlive/2025/texmf-dist/tex/latex/amscls/amsthm.sty Package: amsthm 2020/05/29 v2.20.6 \thm@style=\toks22 \thm@bodyfont=\toks23 \thm@headfont=\toks24 \thm@notefont=\toks25 \thm@headpunct=\toks26 \thm@preskip=\skip54 \thm@postskip=\skip55 \thm@headsep=\skip56 \dth@everypar=\toks27 ) (/usr/local/texlive/2025/texmf-dist/tex/latex/mathtools/mathtools.sty Package: mathtools 2024/10/04 v1.31 mathematical typesetting tools (/usr/local/texlive/2025/texmf-dist/tex/latex/graphics/keyval.sty Package: keyval 2022/05/29 v1.15 key=value parser (DPC) \KV@toks@=\toks28 ) (/usr/local/texlive/2025/texmf-dist/tex/latex/tools/calc.sty Package: calc 2025/03/01 v4.3b Infix arithmetic (KKT,FJ) \calc@Acount=\count295 \calc@Bcount=\count296 \calc@Adimen=\dimen158 \calc@Bdimen=\dimen159 \calc@Askip=\skip57 \calc@Bskip=\skip58 LaTeX Info: Redefining \setlength on input line 86. LaTeX Info: Redefining \addtolength on input line 87. \calc@Ccount=\count297 \calc@Cskip=\skip59 ) (/usr/local/texlive/2025/texmf-dist/tex/latex/mathtools/mhsetup.sty Package: mhsetup 2021/03/18 v1.4 programming setup (MH) ) \g_MT_multlinerow_int=\count298 \l_MT_multwidth_dim=\dimen160 \origjot=\skip60 \l_MT_shortvdotswithinadjustabove_dim=\dimen161 \l_MT_shortvdotswithinadjustbelow_dim=\dimen162 \l_MT_above_intertext_sep=\dimen163 \l_MT_below_intertext_sep=\dimen164 \l_MT_above_shortintertext_sep=\dimen165 \l_MT_below_shortintertext_sep=\dimen166 \xmathstrut@box=\box55 \xmathstrut@dim=\dimen167 ) (/usr/local/texlive/2025/texmf-dist/tex/latex/geometry/geometry.sty Package: geometry 2020/01/02 v5.9 Page Geometry (/usr/local/texlive/2025/texmf-dist/tex/generic/iftex/ifvtex.sty Package: ifvtex 2019/10/25 v1.7 ifvtex legacy package. Use iftex instead. (/usr/local/texlive/2025/texmf-dist/tex/generic/iftex/iftex.sty Package: iftex 2024/12/12 v1.0g TeX engine tests )) \Gm@cnth=\count299 \Gm@cntv=\count300 \c@Gm@tempcnt=\count301 \Gm@bindingoffset=\dimen168 \Gm@wd@mp=\dimen169 \Gm@odd@mp=\dimen170 \Gm@even@mp=\dimen171 \Gm@layoutwidth=\dimen172 \Gm@layoutheight=\dimen173 \Gm@layouthoffset=\dimen174 \Gm@layoutvoffset=\dimen175 \Gm@dimlist=\toks29 ) (/usr/local/texlive/2025/texmf-dist/tex/latex/hyperref/hyperref.sty Package: hyperref 2025-05-20 v7.01m Hypertext links for LaTeX (/usr/local/texlive/2025/texmf-dist/tex/latex/kvsetkeys/kvsetkeys.sty Package: kvsetkeys 2022-10-05 v1.19 Key value parser (HO) ) (/usr/local/texlive/2025/texmf-dist/tex/generic/kvdefinekeys/kvdefinekeys.sty Package: kvdefinekeys 2019-12-19 v1.6 Define keys (HO) ) (/usr/local/texlive/2025/texmf-dist/tex/generic/pdfescape/pdfescape.sty Package: pdfescape 2019/12/09 v1.15 Implements pdfTeX's escape features (HO) (/usr/local/texlive/2025/texmf-dist/tex/generic/ltxcmds/ltxcmds.sty Package: ltxcmds 2023-12-04 v1.26 LaTeX kernel commands for general use (HO) ) (/usr/local/texlive/2025/texmf-dist/tex/generic/pdftexcmds/pdftexcmds.sty Package: pdftexcmds 2020-06-27 v0.33 Utility functions of pdfTeX for LuaTeX (HO) (/usr/local/texlive/2025/texmf-dist/tex/generic/infwarerr/infwarerr.sty Package: infwarerr 2019/12/03 v1.5 Providing info/warning/error messages (HO) ) Package pdftexcmds Info: \pdf@primitive is available. Package pdftexcmds Info: \pdf@ifprimitive is available. Package pdftexcmds Info: \pdfdraftmode found. )) (/usr/local/texlive/2025/texmf-dist/tex/latex/hycolor/hycolor.sty Package: hycolor 2020-01-27 v1.10 Color options for hyperref/bookmark (HO) ) (/usr/local/texlive/2025/texmf-dist/tex/latex/hyperref/nameref.sty Package: nameref 2023-11-26 v2.56 Cross-referencing by name of section (/usr/local/texlive/2025/texmf-dist/tex/latex/refcount/refcount.sty Package: refcount 2019/12/15 v3.6 Data extraction from label references (HO) ) (/usr/local/texlive/2025/texmf-dist/tex/generic/gettitlestring/gettitlestring.sty Package: gettitlestring 2019/12/15 v1.6 Cleanup title references (HO) (/usr/local/texlive/2025/texmf-dist/tex/latex/kvoptions/kvoptions.sty Package: kvoptions 2022-06-15 v3.15 Key value format for package options (HO) )) \c@section@level=\count302 ) (/usr/local/texlive/2025/texmf-dist/tex/latex/etoolbox/etoolbox.sty Package: etoolbox 2025/02/11 v2.5l e-TeX tools for LaTeX (JAW) \etb@tempcnta=\count303 ) (/usr/local/texlive/2025/texmf-dist/tex/generic/stringenc/stringenc.sty Package: stringenc 2019/11/29 v1.12 Convert strings between diff. encodings (HO) ) \@linkdim=\dimen176 \Hy@linkcounter=\count304 \Hy@pagecounter=\count305 (/usr/local/texlive/2025/texmf-dist/tex/latex/hyperref/pd1enc.def File: pd1enc.def 2025-05-20 v7.01m Hyperref: PDFDocEncoding definition (HO) Now handling font encoding PD1 ... ... no UTF-8 mapping file for font encoding PD1 ) (/usr/local/texlive/2025/texmf-dist/tex/generic/intcalc/intcalc.sty Package: intcalc 2019/12/15 v1.3 Expandable calculations with integers (HO) ) \Hy@SavedSpaceFactor=\count306 (/usr/local/texlive/2025/texmf-dist/tex/latex/hyperref/puenc.def File: puenc.def 2025-05-20 v7.01m Hyperref: PDF Unicode definition (HO) Now handling font encoding PU ... ... no UTF-8 mapping file for font encoding PU ) Package hyperref Info: Hyper figures OFF on input line 4157. Package hyperref Info: Link nesting OFF on input line 4162. Package hyperref Info: Hyper index ON on input line 4165. Package hyperref Info: Plain pages OFF on input line 4172. Package hyperref Info: Backreferencing OFF on input line 4177. Package hyperref Info: Implicit mode ON; LaTeX internals redefined. Package hyperref Info: Bookmarks ON on input line 4424. \c@Hy@tempcnt=\count307 (/usr/local/texlive/2025/texmf-dist/tex/latex/url/url.sty \Urlmuskip=\muskip18 Package: url 2013/09/16 ver 3.4 Verb mode for urls, etc. ) LaTeX Info: Redefining \url on input line 4763. \XeTeXLinkMargin=\dimen177 (/usr/local/texlive/2025/texmf-dist/tex/generic/bitset/bitset.sty Package: bitset 2019/12/09 v1.3 Handle bit-vector datatype (HO) (/usr/local/texlive/2025/texmf-dist/tex/generic/bigintcalc/bigintcalc.sty Package: bigintcalc 2019/12/15 v1.5 Expandable calculations on big integers (HO) )) \Fld@menulength=\count308 \Field@Width=\dimen178 \Fld@charsize=\dimen179 Package hyperref Info: Hyper figures OFF on input line 6042. Package hyperref Info: Link nesting OFF on input line 6047. Package hyperref Info: Hyper index ON on input line 6050. Package hyperref Info: backreferencing OFF on input line 6057. Package hyperref Info: Link coloring OFF on input line 6062. Package hyperref Info: Link coloring with OCG OFF on input line 6067. Package hyperref Info: PDF/A mode OFF on input line 6072. (/usr/local/texlive/2025/texmf-dist/tex/latex/base/atbegshi-ltx.sty Package: atbegshi-ltx 2021/01/10 v1.0c Emulation of the original atbegshi package with kernel methods ) \Hy@abspage=\count309 \c@Item=\count310 \c@Hfootnote=\count311 ) Package hyperref Info: Driver (autodetected): hpdftex. (/usr/local/texlive/2025/texmf-dist/tex/latex/hyperref/hpdftex.def File: hpdftex.def 2025-05-20 v7.01m Hyperref driver for pdfTeX \Fld@listcount=\count312 \c@bookmark@seq@number=\count313 (/usr/local/texlive/2025/texmf-dist/tex/latex/rerunfilecheck/rerunfilecheck.sty Package: rerunfilecheck 2022-07-10 v1.10 Rerun checks for auxiliary files (HO) (/usr/local/texlive/2025/texmf-dist/tex/latex/base/atveryend-ltx.sty Package: atveryend-ltx 2020/08/19 v1.0a Emulation of the original atveryend package with kernel methods ) (/usr/local/texlive/2025/texmf-dist/tex/generic/uniquecounter/uniquecounter.sty Package: uniquecounter 2019/12/15 v1.4 Provide unlimited unique counter (HO) ) Package uniquecounter Info: New unique counter rerunfilecheck' on input line 285. ) \Hy@SectionHShift=\skip61 ) \c@theorem=\count314 \c@lemma=\count315 \c@corollary=\count316 \c@assumption=\count317 \c@remark=\count318 (/usr/local/texlive/2025/texmf-dist/tex/latex/l3backend/l3backend-pdftex.def File: l3backend-pdftex.def 2025-04-14 L3 backend support: PDF output (pdfTeX) \l__color_backend_stack_int=\count319 ) (./output.aux) \openout1 = output.aux'. LaTeX Font Info: Checking defaults for OML/cmm/m/it on input line 31. LaTeX Font Info: ... okay on input line 31. LaTeX Font Info: Checking defaults for OMS/cmsy/m/n on input line 31. LaTeX Font Info: ... okay on input line 31. LaTeX Font Info: Checking defaults for OT1/cmr/m/n on input line 31. LaTeX Font Info: ... okay on input line 31. LaTeX Font Info: Checking defaults for T1/cmr/m/n on input line 31. LaTeX Font Info: ... okay on input line 31. LaTeX Font Info: Checking defaults for TS1/cmr/m/n on input line 31. LaTeX Font Info: ... okay on input line 31. LaTeX Font Info: Checking defaults for OMX/cmex/m/n on input line 31. LaTeX Font Info: ... okay on input line 31. LaTeX Font Info: Checking defaults for U/cmr/m/n on input line 31. LaTeX Font Info: ... okay on input line 31. LaTeX Font Info: Checking defaults for PD1/pdf/m/n on input line 31. LaTeX Font Info: ... okay on input line 31. LaTeX Font Info: Checking defaults for PU/pdf/m/n on input line 31. LaTeX Font Info: ... okay on input line 31. (/usr/local/texlive/2025/texmf-dist/tex/latex/graphics/graphicx.sty Package: graphicx 2024/12/31 v1.2e Enhanced LaTeX Graphics (DPC,SPQR) (/usr/local/texlive/2025/texmf-dist/tex/latex/graphics/graphics.sty Package: graphics 2024/08/06 v1.4g Standard LaTeX Graphics (DPC,SPQR) (/usr/local/texlive/2025/texmf-dist/tex/latex/graphics/trig.sty Package: trig 2023/12/02 v1.11 sin cos tan (DPC) ) (/usr/local/texlive/2025/texmf-dist/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 106. (/usr/local/texlive/2025/texmf-dist/tex/latex/graphics-def/pdftex.def File: pdftex.def 2024/04/13 v1.2c Graphics/color driver for pdftex (/usr/local/texlive/2025/texmf-dist/tex/context/base/mkii/supp-pdf.mkii [Loading MPS to PDF converter (version 2006.09.02).] \scratchcounter=\count320 \scratchdimen=\dimen180 \scratchbox=\box56 \nofMPsegments=\count321 \nofMParguments=\count322 \everyMPshowfont=\toks30 \MPscratchCnt=\count323 \MPscratchDim=\dimen181 \MPnumerator=\count324 \makeMPintoPDFobject=\count325 \everyMPtoPDFconversion=\toks31 ))) (/usr/local/texlive/2025/texmf-dist/tex/latex/epstopdf-pkg/epstopdf-base.sty Package: epstopdf-base 2020-01-24 v2.11 Base part for package epstopdf Package epstopdf-base Info: Redefining graphics rule for .eps' on input line 485. (/usr/local/texlive/2025/texmf-dist/tex/latex/latexconfig/epstopdf-sys.cfg File: epstopdf-sys.cfg 2010/07/13 v1.3 Configuration of (r)epstopdf for TeX Live )) \Gin@req@height=\dimen182 \Gin@req@width=\dimen183 ) ''geometry'' driver: auto-detecting ''geometry'' detected driver: pdftex ''geometry'' verbose mode - [ preamble ] result: * driver: pdftex * paper: <default> * layout: <same size as paper> * layoutoffset:(h,v)=(0.0pt,0.0pt) * modes: * h-part:(L,W,R)=(72.26999pt, 469.75502pt, 72.26999pt) * v-part:(T,H,B)=(72.26999pt, 650.43001pt, 72.26999pt) * \paperwidth=614.295pt * \paperheight=794.96999pt * \textwidth=469.75502pt * \textheight=650.43001pt * \oddsidemargin=0.0pt * \evensidemargin=0.0pt * \topmargin=-37.0pt * \headheight=12.0pt * \headsep=25.0pt * \topskip=11.0pt * \footskip=30.0pt * \marginparwidth=59.0pt * \marginparsep=10.0pt * \columnsep=10.0pt * \skip\footins=10.0pt plus 4.0pt minus 2.0pt * \hoffset=0.0pt * \voffset=0.0pt * \mag=1000 * \@twocolumnfalse * \@twosidefalse * \@mparswitchfalse * \@reversemarginfalse * (1in=72.27pt=25.4mm, 1cm=28.453pt) Package hyperref Info: Link coloring OFF on input line 31. (./output.out) (./output.out) \@outlinefile=\write3 \openout3 = output.out'. LaTeX Font Info: Trying to load font information for U+msa on input line 33. (/usr/local/texlive/2025/texmf-dist/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 33. (/usr/local/texlive/2025/texmf-dist/tex/latex/amsfonts/umsb.fd File: umsb.fd 2013/01/14 v3.01 AMS symbols B ) [1 {/usr/local/texlive/2025/texmf-var/fonts/map/pdftex/updmap/pdftex.map}] Package hyperref Warning: Token not allowed in a PDF string (Unicode): (hyperref) removing math shift' on input line 119. Package hyperref Warning: Token not allowed in a PDF string (Unicode): (hyperref) removing superscript' on input line 119. Package hyperref Warning: Token not allowed in a PDF string (Unicode): (hyperref) removing \star' on input line 119. Package hyperref Warning: Token not allowed in a PDF string (Unicode): (hyperref) removing math shift' on input line 119. Package hyperref Warning: Token not allowed in a PDF string (Unicode): (hyperref) removing math shift' on input line 173. Package hyperref Warning: Token not allowed in a PDF string (Unicode): (hyperref) removing \|' on input line 173. Package hyperref Warning: Token not allowed in a PDF string (Unicode): (hyperref) removing subscript' on input line 173. Package hyperref Warning: Token not allowed in a PDF string (Unicode): (hyperref) removing superscript' on input line 173. Package hyperref Warning: Token not allowed in a PDF string (Unicode): (hyperref) removing \star' on input line 173. Package hyperref Warning: Token not allowed in a PDF string (Unicode): (hyperref) removing \|' on input line 173. Package hyperref Warning: Token not allowed in a PDF string (Unicode): (hyperref) removing math shift' on input line 173. [2] [3] Package hyperref Warning: Token not allowed in a PDF string (Unicode): (hyperref) removing math shift' on input line 257. Package hyperref Warning: Token not allowed in a PDF string (Unicode): (hyperref) removing \sum@' on input line 257. Package hyperref Warning: Token not allowed in a PDF string (Unicode): (hyperref) removing \slimits@' on input line 257. Package hyperref Warning: Token not allowed in a PDF string (Unicode): (hyperref) removing subscript' on input line 257. Package hyperref Warning: Token not allowed in a PDF string (Unicode): (hyperref) removing superscript' on input line 257. Package hyperref Warning: Token not allowed in a PDF string (Unicode): (hyperref) removing subscript' on input line 257. Package hyperref Warning: Token not allowed in a PDF string (Unicode): (hyperref) removing \gamma' on input line 257. Package hyperref Warning: Token not allowed in a PDF string (Unicode): (hyperref) removing \new@ifnextchar' on input line 257. Package hyperref Warning: Token not allowed in a PDF string (Unicode): (hyperref) removing subscript' on input line 257. Package hyperref Warning: Token not allowed in a PDF string (Unicode): (hyperref) removing math shift' on input line 257. Package hyperref Warning: Token not allowed in a PDF string (Unicode): (hyperref) removing math shift' on input line 319. Package hyperref Warning: Token not allowed in a PDF string (Unicode): (hyperref) removing \ell' on input line 319. Package hyperref Warning: Token not allowed in a PDF string (Unicode): (hyperref) removing subscript' on input line 319. Package hyperref Warning: Token not allowed in a PDF string (Unicode): (hyperref) removing math shift' on input line 319. [4] [5] Package hyperref Warning: Token not allowed in a PDF string (Unicode): (hyperref) removing math shift' on input line 449. Package hyperref Warning: Token not allowed in a PDF string (Unicode): (hyperref) removing \varepsilon' on input line 449. Package hyperref Warning: Token not allowed in a PDF string (Unicode): (hyperref) removing math shift' on input line 449. [6] Package hyperref Warning: Token not allowed in a PDF string (Unicode): (hyperref) removing math shift' on input line 498. Package hyperref Warning: Token not allowed in a PDF string (Unicode): (hyperref) removing \gamma' on input line 498. Package hyperref Warning: Token not allowed in a PDF string (Unicode): (hyperref) removing math shift' on input line 498. Package hyperref Warning: Token not allowed in a PDF string (Unicode): (hyperref) removing math shift' on input line 498. Package hyperref Warning: Token not allowed in a PDF string (Unicode): (hyperref) removing \@ifnextchar' on input line 498. Package hyperref Warning: Token not allowed in a PDF string (Unicode): (hyperref) removing \rho' on input line 498. Package hyperref Warning: Token not allowed in a PDF string (Unicode): (hyperref) removing math shift' on input line 498. [7] [8] Package hyperref Warning: Token not allowed in a PDF string (Unicode): (hyperref) removing math shift' on input line 643. Package hyperref Warning: Token not allowed in a PDF string (Unicode): (hyperref) removing \gamma' on input line 643. Package hyperref Warning: Token not allowed in a PDF string (Unicode): (hyperref) removing superscript' on input line 643. Package hyperref Warning: Token not allowed in a PDF string (Unicode): (hyperref) removing math shift' on input line 643. Package hyperref Warning: Token not allowed in a PDF string (Unicode): (hyperref) removing \hbox' on input line 658. Package hyperref Warning: Token not allowed in a PDF string (Unicode): (hyperref) removing \mathsurround' on input line 658. Package hyperref Warning: Token not allowed in a PDF string (Unicode): (hyperref) removing \z@' on input line 658. Package hyperref Warning: Token not allowed in a PDF string (Unicode): (hyperref) removing \unskip' on input line 658. Package hyperref Warning: Token not allowed in a PDF string (Unicode): (hyperref) removing \@@italiccorr' on input line 658. Package hyperref Warning: Token not allowed in a PDF string (Unicode): (hyperref) removing math shift' on input line 658. Package hyperref Warning: Token not allowed in a PDF string (Unicode): (hyperref) removing \gamma' on input line 658. Package hyperref Warning: Token not allowed in a PDF string (Unicode): (hyperref) removing math shift' on input line 658. [9] Package hyperref Warning: Token not allowed in a PDF string (Unicode): (hyperref) removing math shift' on input line 685. Package hyperref Warning: Token not allowed in a PDF string (Unicode): (hyperref) removing \gamma' on input line 685. Package hyperref Warning: Token not allowed in a PDF string (Unicode): (hyperref) removing math shift' on input line 685. Package hyperref Warning: Token not allowed in a PDF string (Unicode): (hyperref) removing math shift' on input line 734. Package hyperref Warning: Token not allowed in a PDF string (Unicode): (hyperref) removing \@ifnextchar' on input line 734. Package hyperref Warning: Token not allowed in a PDF string (Unicode): (hyperref) removing \rho' on input line 734. Package hyperref Warning: Token not allowed in a PDF string (Unicode): (hyperref) removing math shift' on input line 734. [10] [11] ! LaTeX Error: Something's wrong--perhaps a missing \item. See the LaTeX manual or LaTeX Companion for explanation. Type H <return> for immediate help. ... l.863 \item F or $i\in C$ (nonzero coordinates), the subdifferential requires... Try typing <return> to proceed. If that doesn't work, type X <return> to quit. [12{/usr/local/texlive/2025/texmf-dist/fonts/enc/dvips/cm-super/cm-super-ts1.enc}] Package hyperref Warning: Token not allowed in a PDF string (Unicode): (hyperref) removing math shift' on input line 905. Package hyperref Warning: Token not allowed in a PDF string (Unicode): (hyperref) removing \ell' on input line 905. Package hyperref Warning: Token not allowed in a PDF string (Unicode): (hyperref) removing subscript' on input line 905. Package hyperref Warning: Token not allowed in a PDF string (Unicode): (hyperref) removing math shift' on input line 905. Package hyperref Warning: Token not allowed in a PDF string (Unicode): (hyperref) removing math shift' on input line 905. Package hyperref Warning: Token not allowed in a PDF string (Unicode): (hyperref) removing \@ifnextchar' on input line 905. Package hyperref Warning: Token not allowed in a PDF string (Unicode): (hyperref) removing \rho' on input line 905. Package hyperref Warning: Token not allowed in a PDF string (Unicode): (hyperref) removing math shift' on input line 905. [13] (./output.aux) *********''' LaTeX2e <2025-06-01> patch level 1 L3 programming layer <2025-05-26> '''********* Package rerunfilecheck Info: File output.out' has not changed. (rerunfilecheck) Checksum: 126B49B4E6E9C0A9E988DE6F81B556FB;7041. ) Here is how much of TeX's memory you used: 11138 strings out of 467886 170530 string characters out of 5434056 594304 words of memory out of 5000000 39458 multiletter control sequences out of 15000+600000 640243 words of font info for 90 fonts, out of 8000000 for 9000 1141 hyphenation exceptions out of 8191 75i,12n,79p,544b,667s stack positions out of 10000i,1000n,20000p,200000b,200000s </usr/local/texlive/2025/texmf-dist/fonts/type1/public/amsfonts/cm/cmbx10.pfb></usr/local/texlive/2025/texmf-dist/fonts/type1/public/amsfonts/cm/cmbx12.pfb></usr/local/texlive/2025/texmf-dist/fonts/type1/public/amsfonts/cm/cmbxti10.pfb></usr/local/texlive/2025/texmf-dist/fonts/type1/public/amsfonts/cm/cmex10.pfb></usr/local/texlive/2025/texmf-dist/fonts/type1/public/amsfonts/cm/cmmi10.pfb></usr/local/texlive/2025/texmf-dist/fonts/type1/public/amsfonts/cm/cmmi12.pfb></usr/local/texlive/2025/texmf-dist/fonts/type1/public/amsfonts/cm/cmmi6.pfb></usr/local/texlive/2025/texmf-dist/fonts/type1/public/amsfonts/cm/cmmi7.pfb></usr/local/texlive/2025/texmf-dist/fonts/type1/public/amsfonts/cm/cmmi8.pfb></usr/local/texlive/2025/texmf-dist/fonts/type1/public/amsfonts/cm/cmr10.pfb></usr/local/texlive/2025/texmf-dist/fonts/type1/public/amsfonts/cm/cmr12.pfb></usr/local/texlive/2025/texmf-dist/fonts/type1/public/amsfonts/cm/cmr17.pfb></usr/local/texlive/2025/texmf-dist/fonts/type1/public/amsfonts/cm/cmr6.pfb></usr/local/te xlive/2025/texmf-dist/fonts/type1/public/amsfonts/cm/cmr7.pfb></usr/local/texlive/2025/texmf-dist/fonts/type1/public/amsfonts/cm/cmr8.pfb></usr/local/texlive/2025/texmf-dist/fonts/type1/public/amsfonts/cm/cmsy10.pfb></usr/local/texlive/2025/texmf-dist/fonts/type1/public/amsfonts/cm/cmsy7.pfb></usr/local/texlive/2025/texmf-dist/fonts/type1/public/amsfonts/cm/cmsy8.pfb></usr/local/texlive/2025/texmf-dist/fonts/type1/public/amsfonts/cm/cmti10.pfb></usr/local/texlive/2025/texmf-dist/fonts/type1/public/amsfonts/symbols/msbm10.pfb></usr/local/texlive/2025/texmf-dist/fonts/type1/public/cm-super/sfrm1095.pfb> Output written on output.pdf (13 pages, 316958 bytes). PDF statistics: 422 PDF objects out of 1000 (max. 8388607) 361 compressed objects within 4 object streams 104 named destinations out of 1000 (max. 500000) 185 words of extra memory for PDF output out of 10000 (max. 10000000)"
Summary:
Please note that all contributions to freem are considered to be released under the Creative Commons Attribution-ShareAlike 4.0 (see
Freem:Copyrights
for details). If you do not want your writing to be edited mercilessly and redistributed at will, then do not submit it here.
You are also promising us that you wrote this yourself, or copied it from a public domain or similar free resource.
Do not submit copyrighted work without permission!
Cancel
Editing help
(opens in new window)