This is XeTeX, Version 3.141592653-2.6-0.999997 (TeX Live 2025) (preloaded format=xelatex 2026.2.12) 26 FEB 2026 11:02 entering extended mode restricted \write18 enabled. %&-line parsing enabled. **rating-system-v2.tex (./rating-system-v2.tex LaTeX2e <2025-11-01> L3 programming layer <2026-01-19> (/Users/split/Library/TinyTeX/texmf-dist/tex/latex/base/article.cls Document Class: article 2025/01/22 v1.4n Standard LaTeX document class (/Users/split/Library/TinyTeX/texmf-dist/tex/latex/base/size12.clo File: size12.clo 2025/01/22 v1.4n Standard LaTeX file (size option) ) \c@part=\count271 \c@section=\count272 \c@subsection=\count273 \c@subsubsection=\count274 \c@paragraph=\count275 \c@subparagraph=\count276 \c@figure=\count277 \c@table=\count278 \abovecaptionskip=\skip49 \belowcaptionskip=\skip50 \bibindent=\dimen148 ) (/Users/split/Library/TinyTeX/texmf-dist/tex/latex/geometry/geometry.sty Package: geometry 2020/01/02 v5.9 Page Geometry (/Users/split/Library/TinyTeX/texmf-dist/tex/latex/graphics/keyval.sty Package: keyval 2022/05/29 v1.15 key=value parser (DPC) \KV@toks@=\toks17 ) (/Users/split/Library/TinyTeX/texmf-dist/tex/generic/iftex/ifvtex.sty Package: ifvtex 2019/10/25 v1.7 ifvtex legacy package. Use iftex instead. (/Users/split/Library/TinyTeX/texmf-dist/tex/generic/iftex/iftex.sty Package: iftex 2024/12/12 v1.0g TeX engine tests )) \Gm@cnth=\count279 \Gm@cntv=\count280 \c@Gm@tempcnt=\count281 \Gm@bindingoffset=\dimen149 \Gm@wd@mp=\dimen150 \Gm@odd@mp=\dimen151 \Gm@even@mp=\dimen152 \Gm@layoutwidth=\dimen153 \Gm@layoutheight=\dimen154 \Gm@layouthoffset=\dimen155 \Gm@layoutvoffset=\dimen156 \Gm@dimlist=\toks18 ) (/Users/split/Library/TinyTeX/texmf-dist/tex/latex/amsmath/amsmath.sty Package: amsmath 2025/07/09 v2.17z AMS math features \@mathmargin=\skip51 For additional information on amsmath, use the `?' option. (/Users/split/Library/TinyTeX/texmf-dist/tex/latex/amsmath/amstext.sty Package: amstext 2024/11/17 v2.01 AMS text (/Users/split/Library/TinyTeX/texmf-dist/tex/latex/amsmath/amsgen.sty File: amsgen.sty 1999/11/30 v2.0 generic functions \@emptytoks=\toks19 \ex@=\dimen157 )) (/Users/split/Library/TinyTeX/texmf-dist/tex/latex/amsmath/amsbsy.sty Package: amsbsy 1999/11/29 v1.2d Bold Symbols \pmbraise@=\dimen158 ) (/Users/split/Library/TinyTeX/texmf-dist/tex/latex/amsmath/amsopn.sty Package: amsopn 2022/04/08 v2.04 operator names ) \inf@bad=\count282 LaTeX Info: Redefining \frac on input line 233. \uproot@=\count283 \leftroot@=\count284 LaTeX Info: Redefining \overline on input line 398. LaTeX Info: Redefining \colon on input line 409. \classnum@=\count285 \DOTSCASE@=\count286 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=\dimen159 LaTeX Font Info: Redeclaring font encoding OML on input line 742. LaTeX Font Info: Redeclaring font encoding OMS on input line 743. \macc@depth=\count287 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=\count288 \dotsspace@=\muskip17 \c@parentequation=\count289 \dspbrk@lvl=\count290 \tag@help=\toks20 \row@=\count291 \column@=\count292 \maxfields@=\count293 \andhelp@=\toks21 \eqnshift@=\dimen160 \alignsep@=\dimen161 \tagshift@=\dimen162 \tagwidth@=\dimen163 \totwidth@=\dimen164 \lineht@=\dimen165 \@envbody=\toks22 \multlinegap=\skip52 \multlinetaggap=\skip53 \mathdisplay@stack=\toks23 LaTeX Info: Redefining \[ on input line 2950. LaTeX Info: Redefining \] on input line 2951. ) (/Users/split/Library/TinyTeX/texmf-dist/tex/latex/amsfonts/amssymb.sty Package: amssymb 2013/01/14 v3.01 AMS font symbols (/Users/split/Library/TinyTeX/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. )) (/Users/split/Library/TinyTeX/texmf-dist/tex/latex/amscls/amsthm.sty Package: amsthm 2020/05/29 v2.20.6 \thm@style=\toks24 \thm@bodyfont=\toks25 \thm@headfont=\toks26 \thm@notefont=\toks27 \thm@headpunct=\toks28 \thm@preskip=\skip54 \thm@postskip=\skip55 \thm@headsep=\skip56 \dth@everypar=\toks29 ) (/Users/split/Library/TinyTeX/texmf-dist/tex/latex/graphics/graphicx.sty Package: graphicx 2024/12/31 v1.2e Enhanced LaTeX Graphics (DPC,SPQR) (/Users/split/Library/TinyTeX/texmf-dist/tex/latex/graphics/graphics.sty Package: graphics 2024/08/06 v1.4g Standard LaTeX Graphics (DPC,SPQR) (/Users/split/Library/TinyTeX/texmf-dist/tex/latex/graphics/trig.sty Package: trig 2023/12/02 v1.11 sin cos tan (DPC) ) (/Users/split/Library/TinyTeX/texmf-dist/tex/latex/graphics-cfg/graphics.cfg File: graphics.cfg 2016/06/04 v1.11 sample graphics configuration ) Package graphics Info: Driver file: xetex.def on input line 106. (/Users/split/Library/TinyTeX/texmf-dist/tex/latex/graphics-def/xetex.def File: xetex.def 2025/11/01 v5.0p Graphics/color driver for xetex )) \Gin@req@height=\dimen166 \Gin@req@width=\dimen167 ) (/Users/split/Library/TinyTeX/texmf-dist/tex/latex/xcolor/xcolor.sty Package: xcolor 2024/09/29 v3.02 LaTeX color extensions (UK) (/Users/split/Library/TinyTeX/texmf-dist/tex/latex/graphics-cfg/color.cfg File: color.cfg 2016/01/02 v1.6 sample color configuration ) Package xcolor Info: Driver file: xetex.def on input line 274. (/Users/split/Library/TinyTeX/texmf-dist/tex/latex/graphics/mathcolor.ltx) Package xcolor Info: Model `cmy' substituted by `cmy0' on input line 1349. Package xcolor Info: Model `RGB' extended on input line 1365. Package xcolor Info: Model `HTML' substituted by `rgb' on input line 1367. Package xcolor Info: Model `Hsb' substituted by `hsb' on input line 1368. Package xcolor Info: Model `tHsb' substituted by `hsb' on input line 1369. Package xcolor Info: Model `HSB' substituted by `hsb' on input line 1370. Package xcolor Info: Model `Gray' substituted by `gray' on input line 1371. Package xcolor Info: Model `wave' substituted by `hsb' on input line 1372. ) (/Users/split/Library/TinyTeX/texmf-dist/tex/latex/booktabs/booktabs.sty Package: booktabs 2020/01/12 v1.61803398 Publication quality tables \heavyrulewidth=\dimen168 \lightrulewidth=\dimen169 \cmidrulewidth=\dimen170 \belowrulesep=\dimen171 \belowbottomsep=\dimen172 \aboverulesep=\dimen173 \abovetopsep=\dimen174 \cmidrulesep=\dimen175 \cmidrulekern=\dimen176 \defaultaddspace=\dimen177 \@cmidla=\count294 \@cmidlb=\count295 \@aboverulesep=\dimen178 \@belowrulesep=\dimen179 \@thisruleclass=\count296 \@lastruleclass=\count297 \@thisrulewidth=\dimen180 ) (/Users/split/Library/TinyTeX/texmf-dist/tex/latex/tools/array.sty Package: array 2025/09/25 v2.6n Tabular extension package (FMi) \col@sep=\dimen181 \ar@mcellbox=\box55 \extrarowheight=\dimen182 \NC@list=\toks30 \extratabsurround=\skip57 \backup@length=\skip58 \ar@cellbox=\box56 ) (/Users/split/Library/TinyTeX/texmf-dist/tex/latex/multirow/multirow.sty Package: multirow 2024/11/12 v2.9 Span multiple rows of a table \multirow@colwidth=\skip59 \multirow@cntb=\count298 \multirow@dima=\skip60 \bigstrutjot=\dimen183 ) (/Users/split/Library/TinyTeX/texmf-dist/tex/latex/hyperref/hyperref.sty Package: hyperref 2026-01-29 v7.01p Hypertext links for LaTeX (/Users/split/Library/TinyTeX/texmf-dist/tex/latex/kvsetkeys/kvsetkeys.sty Package: kvsetkeys 2022-10-05 v1.19 Key value parser (HO) ) (/Users/split/Library/TinyTeX/texmf-dist/tex/generic/kvdefinekeys/kvdefinekeys.sty Package: kvdefinekeys 2019-12-19 v1.6 Define keys (HO) ) (/Users/split/Library/TinyTeX/texmf-dist/tex/generic/pdfescape/pdfescape.sty Package: pdfescape 2019/12/09 v1.15 Implements pdfTeX's escape features (HO) (/Users/split/Library/TinyTeX/texmf-dist/tex/generic/ltxcmds/ltxcmds.sty Package: ltxcmds 2023-12-04 v1.26 LaTeX kernel commands for general use (HO) ) (/Users/split/Library/TinyTeX/texmf-dist/tex/generic/pdftexcmds/pdftexcmds.sty Package: pdftexcmds 2020-06-27 v0.33 Utility functions of pdfTeX for LuaTeX (HO) (/Users/split/Library/TinyTeX/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 not found. )) (/Users/split/Library/TinyTeX/texmf-dist/tex/latex/hycolor/hycolor.sty Package: hycolor 2020-01-27 v1.10 Color options for hyperref/bookmark (HO) ) (/Users/split/Library/TinyTeX/texmf-dist/tex/latex/hyperref/nameref.sty Package: nameref 2026-01-29 v2.58 Cross-referencing by name of section (/Users/split/Library/TinyTeX/texmf-dist/tex/latex/refcount/refcount.sty Package: refcount 2019/12/15 v3.6 Data extraction from label references (HO) ) (/Users/split/Library/TinyTeX/texmf-dist/tex/generic/gettitlestring/gettitlestring.sty Package: gettitlestring 2019/12/15 v1.6 Cleanup title references (HO) (/Users/split/Library/TinyTeX/texmf-dist/tex/latex/kvoptions/kvoptions.sty Package: kvoptions 2022-06-15 v3.15 Key value format for package options (HO) )) \c@section@level=\count299 ) (/Users/split/Library/TinyTeX/texmf-dist/tex/latex/etoolbox/etoolbox.sty Package: etoolbox 2025/10/02 v2.5m e-TeX tools for LaTeX (JAW) \etb@tempcnta=\count300 ) (/Users/split/Library/TinyTeX/texmf-dist/tex/generic/stringenc/stringenc.sty Package: stringenc 2019/11/29 v1.12 Convert strings between diff. encodings (HO) ) \@linkdim=\dimen184 \Hy@linkcounter=\count301 \Hy@pagecounter=\count302 (/Users/split/Library/TinyTeX/texmf-dist/tex/latex/hyperref/pd1enc.def File: pd1enc.def 2026-01-29 v7.01p Hyperref: PDFDocEncoding definition (HO) ) (/Users/split/Library/TinyTeX/texmf-dist/tex/generic/intcalc/intcalc.sty Package: intcalc 2019/12/15 v1.3 Expandable calculations with integers (HO) ) \Hy@SavedSpaceFactor=\count303 (/Users/split/Library/TinyTeX/texmf-dist/tex/latex/hyperref/puenc.def File: puenc.def 2026-01-29 v7.01p Hyperref: PDF Unicode definition (HO) ) Package hyperref Info: Hyper figures OFF on input line 4201. Package hyperref Info: Link nesting OFF on input line 4206. Package hyperref Info: Hyper index ON on input line 4209. Package hyperref Info: Plain pages OFF on input line 4216. Package hyperref Info: Backreferencing OFF on input line 4221. Package hyperref Info: Implicit mode ON; LaTeX internals redefined. Package hyperref Info: Bookmarks ON on input line 4468. \c@Hy@tempcnt=\count304 (/Users/split/Library/TinyTeX/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 4807. \XeTeXLinkMargin=\dimen185 (/Users/split/Library/TinyTeX/texmf-dist/tex/generic/bitset/bitset.sty Package: bitset 2019/12/09 v1.3 Handle bit-vector datatype (HO) (/Users/split/Library/TinyTeX/texmf-dist/tex/generic/bigintcalc/bigintcalc.sty Package: bigintcalc 2019/12/15 v1.5 Expandable calculations on big integers (HO) )) \Fld@menulength=\count305 \Field@Width=\dimen186 \Fld@charsize=\dimen187 Package hyperref Info: Hyper figures OFF on input line 6084. Package hyperref Info: Link nesting OFF on input line 6089. Package hyperref Info: Hyper index ON on input line 6092. Package hyperref Info: backreferencing OFF on input line 6099. Package hyperref Info: Link coloring OFF on input line 6104. Package hyperref Info: Link coloring with OCG OFF on input line 6109. Package hyperref Info: PDF/A mode OFF on input line 6114. \Hy@abspage=\count306 \c@Item=\count307 \c@Hfootnote=\count308 ) Package hyperref Info: Driver (autodetected): hxetex. (/Users/split/Library/TinyTeX/texmf-dist/tex/latex/hyperref/hxetex.def File: hxetex.def 2026-01-29 v7.01p Hyperref driver for XeTeX \pdfm@box=\box57 \c@Hy@AnnotLevel=\count309 \HyField@AnnotCount=\count310 \Fld@listcount=\count311 \c@bookmark@seq@number=\count312 (/Users/split/Library/TinyTeX/texmf-dist/tex/latex/rerunfilecheck/rerunfilecheck.sty Package: rerunfilecheck 2025-06-21 v1.11 Rerun checks for auxiliary files (HO) (/Users/split/Library/TinyTeX/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 284. ) \Hy@SectionHShift=\skip61 ) \c@definition=\count313 (/Users/split/Library/TinyTeX/texmf-dist/tex/latex/l3backend/l3backend-xetex.def File: l3backend-xetex.def 2025-10-09 L3 backend support: XeTeX \g__graphics_track_int=\count314 \g__pdfannot_backend_int=\count315 \g__pdfannot_backend_link_int=\count316 ) (./rating-system-v2.aux) \openout1 = `rating-system-v2.aux'. LaTeX Font Info: Checking defaults for OML/cmm/m/it on input line 30. LaTeX Font Info: ... okay on input line 30. LaTeX Font Info: Checking defaults for OMS/cmsy/m/n on input line 30. LaTeX Font Info: ... okay on input line 30. LaTeX Font Info: Checking defaults for OT1/cmr/m/n on input line 30. LaTeX Font Info: ... okay on input line 30. LaTeX Font Info: Checking defaults for T1/cmr/m/n on input line 30. LaTeX Font Info: ... okay on input line 30. LaTeX Font Info: Checking defaults for TS1/cmr/m/n on input line 30. LaTeX Font Info: ... okay on input line 30. LaTeX Font Info: Checking defaults for TU/lmr/m/n on input line 30. LaTeX Font Info: ... okay on input line 30. LaTeX Font Info: Checking defaults for OMX/cmex/m/n on input line 30. LaTeX Font Info: ... okay on input line 30. LaTeX Font Info: Checking defaults for U/cmr/m/n on input line 30. LaTeX Font Info: ... okay on input line 30. LaTeX Font Info: Checking defaults for PD1/pdf/m/n on input line 30. LaTeX Font Info: ... okay on input line 30. LaTeX Font Info: Checking defaults for PU/pdf/m/n on input line 30. LaTeX Font Info: ... okay on input line 30. *geometry* driver: auto-detecting *geometry* detected driver: xetex *geometry* verbose mode - [ preamble ] result: * driver: xetex * paper: a4paper * layout: * layoutoffset:(h,v)=(0.0pt,0.0pt) * modes: * h-part:(L,W,R)=(72.26999pt, 452.9679pt, 72.26999pt) * v-part:(T,H,B)=(72.26999pt, 700.50687pt, 72.26999pt) * \paperwidth=597.50787pt * \paperheight=845.04684pt * \textwidth=452.9679pt * \textheight=700.50687pt * \oddsidemargin=0.0pt * \evensidemargin=0.0pt * \topmargin=-37.0pt * \headheight=12.0pt * \headsep=25.0pt * \topskip=12.0pt * \footskip=30.0pt * \marginparwidth=35.0pt * \marginparsep=10.0pt * \columnsep=10.0pt * \skip\footins=10.8pt 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 30. (./rating-system-v2.out) (./rating-system-v2.out) \@outlinefile=\write3 \openout3 = `rating-system-v2.out'. LaTeX Font Info: Trying to load font information for U+msa on input line 33. (/Users/split/Library/TinyTeX/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. (/Users/split/Library/TinyTeX/texmf-dist/tex/latex/amsfonts/umsb.fd File: umsb.fd 2013/01/14 v3.01 AMS symbols B ) [1 ] [2] [3] [4] [5] [6] Overfull \hbox (28.1484pt too wide) in paragraph at lines 344--345 []\TU/lmr/m/n/12 The Glicko-2 algorithm uses the effective opponent rating to compute $\OML/cmm/m/it/12 P\OT1/cmr/m/n/12 ([])$\TU/lmr/m/n/12 . [] [7] [8] Missing character: There is no ✓ (U+2713) in font [lmroman12-regular]:mapping=tex-text;! Missing character: There is no ✓ (U+2713) in font [lmroman12-regular]:mapping=tex-text;! [9] [10] [11] (./rating-system-v2.aux) *********** LaTeX2e <2025-11-01> L3 programming layer <2026-01-19> *********** Package rerunfilecheck Info: File `rating-system-v2.out' has not changed. (rerunfilecheck) Checksum: 83E9303CAC50609F78A770E1720FE6CB;3381. ) Here is how much of TeX's memory you used: 10521 strings out of 470190 160203 string characters out of 5477943 585373 words of memory out of 5000000 38977 multiletter control sequences out of 15000+600000 635421 words of font info for 82 fonts, out of 8000000 for 9000 14 hyphenation exceptions out of 8191 72i,11n,79p,553b,483s stack positions out of 10000i,1000n,20000p,200000b,200000s Output written on rating-system-v2.pdf (11 pages).