This is pdfTeX, Version 3.141592653-2.6-1.40.29 (TeX Live 2026) (preloaded format=pdflatex 2026.3.22) 6 AUG 2026 00:51 entering extended mode restricted \write18 enabled. %&-line parsing enabled. **GSF6053_S6.tex (./GSF6053_S6.tex LaTeX2e <2025-11-01> L3 programming layer <2026-01-19> (/usr/local/texlive/2026/texmf-dist/tex/latex/beamer/beamer.cls Document Class: beamer 2026/01/22 v3.77 A class for typesetting presentations (/usr/local/texlive/2026/texmf-dist/tex/latex/beamer/beamerbasemodes.sty (/usr/local/texlive/2026/texmf-dist/tex/latex/etoolbox/etoolbox.sty Package: etoolbox 2025/10/02 v2.5m e-TeX tools for LaTeX (JAW) \etb@tempcnta=\count275 ) \beamer@tempbox=\box53 \beamer@tempcount=\count276 \c@beamerpauses=\count277 (/usr/local/texlive/2026/texmf-dist/tex/latex/beamer/beamerbasedecode.sty \beamer@slideinframe=\count278 \beamer@minimum=\count279 \beamer@decode@box=\box54 ) \beamer@commentbox=\box55 \beamer@modecount=\count280 ) (/usr/local/texlive/2026/texmf-dist/tex/generic/iftex/iftex.sty Package: iftex 2024/12/12 v1.0g TeX engine tests ) \headdp=\dimen148 \footheight=\dimen149 \sidebarheight=\dimen150 \beamer@tempdim=\dimen151 \beamer@finalheight=\dimen152 \beamer@animht=\dimen153 \beamer@animdp=\dimen154 \beamer@animwd=\dimen155 \beamer@leftmargin=\dimen156 \beamer@rightmargin=\dimen157 \beamer@leftsidebar=\dimen158 \beamer@rightsidebar=\dimen159 \beamer@boxsize=\dimen160 \beamer@vboxoffset=\dimen161 \beamer@descdefault=\dimen162 \beamer@descriptionwidth=\dimen163 \beamer@lastskip=\skip49 \beamer@areabox=\box56 \beamer@animcurrent=\box57 \beamer@animshowbox=\box58 \beamer@sectionbox=\box59 \beamer@logobox=\box60 \beamer@linebox=\box61 \beamer@sectioncount=\count281 \beamer@subsubsectionmax=\count282 \beamer@subsectionmax=\count283 \beamer@sectionmax=\count284 \beamer@totalheads=\count285 \beamer@headcounter=\count286 \beamer@partstartpage=\count287 \beamer@sectionstartpage=\count288 \beamer@subsectionstartpage=\count289 \beamer@animationtempa=\count290 \beamer@animationtempb=\count291 \beamer@xpos=\count292 \beamer@ypos=\count293 \beamer@ypos@offset=\count294 \beamer@showpartnumber=\count295 \beamer@currentsubsection=\count296 \beamer@coveringdepth=\count297 \beamer@sectionadjust=\count298 \beamer@toclastsection=\count299 \beamer@tocsectionnumber=\count300 (/usr/local/texlive/2026/texmf-dist/tex/latex/beamer/beamerbaseoptions.sty (/usr/local/texlive/2026/texmf-dist/tex/latex/graphics/keyval.sty Package: keyval 2022/05/29 v1.15 key=value parser (DPC) \KV@toks@=\toks17 )) \beamer@paperwidth=\skip50 \beamer@paperheight=\skip51 (/usr/local/texlive/2026/texmf-dist/tex/latex/geometry/geometry.sty Package: geometry 2026/03/07 v6.0 Page Geometry (/usr/local/texlive/2026/texmf-dist/tex/generic/iftex/ifvtex.sty Package: ifvtex 2019/10/25 v1.7 ifvtex legacy package. Use iftex instead. ) \Gm@cnth=\count301 \Gm@cntv=\count302 \c@Gm@tempcnt=\count303 \Gm@bindingoffset=\dimen164 \Gm@wd@mp=\dimen165 \Gm@odd@mp=\dimen166 \Gm@even@mp=\dimen167 \Gm@layoutwidth=\dimen168 \Gm@layoutheight=\dimen169 \Gm@layouthoffset=\dimen170 \Gm@layoutvoffset=\dimen171 \Gm@dimlist=\toks18 ) (/usr/local/texlive/2026/texmf-dist/tex/latex/pgf/math/pgfmath.sty (/usr/local/texlive/2026/texmf-dist/tex/latex/pgf/utilities/pgfrcs.sty (/usr/local/texlive/2026/texmf-dist/tex/generic/pgf/utilities/pgfutil-common.te x \pgfutil@everybye=\toks19 \pgfutil@tempdima=\dimen172 \pgfutil@tempdimb=\dimen173 ) (/usr/local/texlive/2026/texmf-dist/tex/generic/pgf/utilities/pgfutil-latex.def \pgfutil@abb=\box62 ) (/usr/local/texlive/2026/texmf-dist/tex/generic/pgf/utilities/pgfrcs.code.tex (/usr/local/texlive/2026/texmf-dist/tex/generic/pgf/pgf.revision.tex) Package: pgfrcs 2025-08-29 v3.1.11a (3.1.11a) )) (/usr/local/texlive/2026/texmf-dist/tex/latex/pgf/utilities/pgfkeys.sty (/usr/local/texlive/2026/texmf-dist/tex/generic/pgf/utilities/pgfkeys.code.tex \pgfkeys@pathtoks=\toks20 \pgfkeys@temptoks=\toks21 (/usr/local/texlive/2026/texmf-dist/tex/generic/pgf/utilities/pgfkeyslibraryfil tered.code.tex \pgfkeys@tmptoks=\toks22 ))) (/usr/local/texlive/2026/texmf-dist/tex/generic/pgf/math/pgfmath.code.tex (/usr/local/texlive/2026/texmf-dist/tex/generic/pgf/math/pgfmathutil.code.tex \pgf@x=\dimen174 \pgf@xa=\dimen175 \pgf@xb=\dimen176 \pgf@xc=\dimen177 \pgf@y=\dimen178 \pgf@ya=\dimen179 \pgf@yb=\dimen180 \pgf@yc=\dimen181 \c@pgf@counta=\count304 \c@pgf@countb=\count305 \c@pgf@countc=\count306 \c@pgf@countd=\count307 ) (/usr/local/texlive/2026/texmf-dist/tex/generic/pgf/math/pgfmathparser.code.tex \pgfmath@dimen=\dimen182 \pgfmath@count=\count308 \pgfmath@box=\box63 \pgfmath@toks=\toks23 \pgfmath@stack@operand=\toks24 \pgfmath@stack@operation=\toks25 ) (/usr/local/texlive/2026/texmf-dist/tex/generic/pgf/math/pgfmathfunctions.code. tex) (/usr/local/texlive/2026/texmf-dist/tex/generic/pgf/math/pgfmathfunctions.basic .code.tex) (/usr/local/texlive/2026/texmf-dist/tex/generic/pgf/math/pgfmathfunctions.trigo nometric.code.tex) (/usr/local/texlive/2026/texmf-dist/tex/generic/pgf/math/pgfmathfunctions.rando m.code.tex) (/usr/local/texlive/2026/texmf-dist/tex/generic/pgf/math/pgfmathfunctions.compa rison.code.tex) (/usr/local/texlive/2026/texmf-dist/tex/generic/pgf/math/pgfmathfunctions.base. code.tex) (/usr/local/texlive/2026/texmf-dist/tex/generic/pgf/math/pgfmathfunctions.round .code.tex) (/usr/local/texlive/2026/texmf-dist/tex/generic/pgf/math/pgfmathfunctions.misc. code.tex) (/usr/local/texlive/2026/texmf-dist/tex/generic/pgf/math/pgfmathfunctions.integ erarithmetics.code.tex) (/usr/local/texlive/2026/texmf-dist/tex/generic/pgf/math/pgfmathcalc.code.tex) (/usr/local/texlive/2026/texmf-dist/tex/generic/pgf/math/pgfmathfloat.code.tex \c@pgfmathroundto@lastzeros=\count309 ))) (/usr/local/texlive/2026/texmf-dist/tex/latex/base/size11.clo File: size11.clo 2025/01/22 v1.4n Standard LaTeX file (size option) ) (/usr/local/texlive/2026/texmf-dist/tex/latex/pgf/basiclayer/pgfcore.sty (/usr/local/texlive/2026/texmf-dist/tex/latex/graphics/graphicx.sty Package: graphicx 2024/12/31 v1.2e Enhanced LaTeX Graphics (DPC,SPQR) (/usr/local/texlive/2026/texmf-dist/tex/latex/graphics/graphics.sty Package: graphics 2024/08/06 v1.4g Standard LaTeX Graphics (DPC,SPQR) (/usr/local/texlive/2026/texmf-dist/tex/latex/graphics/trig.sty Package: trig 2023/12/02 v1.11 sin cos tan (DPC) ) (/usr/local/texlive/2026/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/2026/texmf-dist/tex/latex/graphics-def/pdftex.def File: pdftex.def 2025/09/29 v1.2d Graphics/color driver for pdftex )) \Gin@req@height=\dimen183 \Gin@req@width=\dimen184 ) (/usr/local/texlive/2026/texmf-dist/tex/latex/pgf/systemlayer/pgfsys.sty (/usr/local/texlive/2026/texmf-dist/tex/generic/pgf/systemlayer/pgfsys.code.tex Package: pgfsys 2025-08-29 v3.1.11a (3.1.11a) \pgf@x=\dimen185 \pgf@y=\dimen186 \pgf@xa=\dimen187 \pgf@ya=\dimen188 \pgf@xb=\dimen189 \pgf@yb=\dimen190 \pgf@xc=\dimen191 \pgf@yc=\dimen192 \pgf@xd=\dimen193 \pgf@yd=\dimen194 \w@pgf@writea=\write3 \r@pgf@reada=\read2 \c@pgf@counta=\count310 \c@pgf@countb=\count311 \c@pgf@countc=\count312 \c@pgf@countd=\count313 \t@pgf@toka=\toks26 \t@pgf@tokb=\toks27 \t@pgf@tokc=\toks28 \pgf@sys@id@count=\count314 (/usr/local/texlive/2026/texmf-dist/tex/generic/pgf/systemlayer/pgf.cfg File: pgf.cfg 2025-08-29 v3.1.11a (3.1.11a) ) Driver file for pgf: pgfsys-pdftex.def (/usr/local/texlive/2026/texmf-dist/tex/generic/pgf/systemlayer/pgfsys-pdftex.d ef File: pgfsys-pdftex.def 2025-08-29 v3.1.11a (3.1.11a) (/usr/local/texlive/2026/texmf-dist/tex/generic/pgf/systemlayer/pgfsys-common-p df.def File: pgfsys-common-pdf.def 2025-08-29 v3.1.11a (3.1.11a) ))) (/usr/local/texlive/2026/texmf-dist/tex/generic/pgf/systemlayer/pgfsyssoftpath. code.tex File: pgfsyssoftpath.code.tex 2025-08-29 v3.1.11a (3.1.11a) \pgfsyssoftpath@smallbuffer@items=\count315 \pgfsyssoftpath@bigbuffer@items=\count316 ) (/usr/local/texlive/2026/texmf-dist/tex/generic/pgf/systemlayer/pgfsysprotocol. code.tex File: pgfsysprotocol.code.tex 2025-08-29 v3.1.11a (3.1.11a) )) (/usr/local/texlive/2026/texmf-dist/tex/latex/xcolor/xcolor.sty Package: xcolor 2024/09/29 v3.02 LaTeX color extensions (UK) (/usr/local/texlive/2026/texmf-dist/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 274. (/usr/local/texlive/2026/texmf-dist/tex/latex/graphics/mathcolor.ltx) Package xcolor Info: Model `cmy' substituted by `cmy0' on input line 1349. Package xcolor Info: Model `hsb' substituted by `rgb' on input line 1353. 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. ) (/usr/local/texlive/2026/texmf-dist/tex/generic/pgf/basiclayer/pgfcore.code.tex Package: pgfcore 2025-08-29 v3.1.11a (3.1.11a) (/usr/local/texlive/2026/texmf-dist/tex/generic/pgf/math/pgfint.code.tex) (/usr/local/texlive/2026/texmf-dist/tex/generic/pgf/basiclayer/pgfcorepoints.co de.tex File: pgfcorepoints.code.tex 2025-08-29 v3.1.11a (3.1.11a) \pgf@picminx=\dimen195 \pgf@picmaxx=\dimen196 \pgf@picminy=\dimen197 \pgf@picmaxy=\dimen198 \pgf@pathminx=\dimen199 \pgf@pathmaxx=\dimen256 \pgf@pathminy=\dimen257 \pgf@pathmaxy=\dimen258 \pgf@xx=\dimen259 \pgf@xy=\dimen260 \pgf@yx=\dimen261 \pgf@yy=\dimen262 \pgf@zx=\dimen263 \pgf@zy=\dimen264 ) (/usr/local/texlive/2026/texmf-dist/tex/generic/pgf/basiclayer/pgfcorepathconst ruct.code.tex File: pgfcorepathconstruct.code.tex 2025-08-29 v3.1.11a (3.1.11a) \pgf@path@lastx=\dimen265 \pgf@path@lasty=\dimen266 ) (/usr/local/texlive/2026/texmf-dist/tex/generic/pgf/basiclayer/pgfcorepathusage .code.tex File: pgfcorepathusage.code.tex 2025-08-29 v3.1.11a (3.1.11a) \pgf@shorten@end@additional=\dimen267 \pgf@shorten@start@additional=\dimen268 ) (/usr/local/texlive/2026/texmf-dist/tex/generic/pgf/basiclayer/pgfcorescopes.co de.tex File: pgfcorescopes.code.tex 2025-08-29 v3.1.11a (3.1.11a) \pgfpic=\box64 \pgf@hbox=\box65 \pgf@layerbox@main=\box66 \pgf@picture@serial@count=\count317 ) (/usr/local/texlive/2026/texmf-dist/tex/generic/pgf/basiclayer/pgfcoregraphicst ate.code.tex File: pgfcoregraphicstate.code.tex 2025-08-29 v3.1.11a (3.1.11a) \pgflinewidth=\dimen269 ) (/usr/local/texlive/2026/texmf-dist/tex/generic/pgf/basiclayer/pgfcoretransform ations.code.tex File: pgfcoretransformations.code.tex 2025-08-29 v3.1.11a (3.1.11a) \pgf@pt@x=\dimen270 \pgf@pt@y=\dimen271 \pgf@pt@temp=\dimen272 ) (/usr/local/texlive/2026/texmf-dist/tex/generic/pgf/basiclayer/pgfcorequick.cod e.tex File: pgfcorequick.code.tex 2025-08-29 v3.1.11a (3.1.11a) ) (/usr/local/texlive/2026/texmf-dist/tex/generic/pgf/basiclayer/pgfcoreobjects.c ode.tex File: pgfcoreobjects.code.tex 2025-08-29 v3.1.11a (3.1.11a) ) (/usr/local/texlive/2026/texmf-dist/tex/generic/pgf/basiclayer/pgfcorepathproce ssing.code.tex File: pgfcorepathprocessing.code.tex 2025-08-29 v3.1.11a (3.1.11a) ) (/usr/local/texlive/2026/texmf-dist/tex/generic/pgf/basiclayer/pgfcorearrows.co de.tex File: pgfcorearrows.code.tex 2025-08-29 v3.1.11a (3.1.11a) \pgfarrowsep=\dimen273 ) (/usr/local/texlive/2026/texmf-dist/tex/generic/pgf/basiclayer/pgfcoreshade.cod e.tex File: pgfcoreshade.code.tex 2025-08-29 v3.1.11a (3.1.11a) \pgf@max=\dimen274 \pgf@sys@shading@range@num=\count318 \pgf@shadingcount=\count319 ) (/usr/local/texlive/2026/texmf-dist/tex/generic/pgf/basiclayer/pgfcoreimage.cod e.tex File: pgfcoreimage.code.tex 2025-08-29 v3.1.11a (3.1.11a) ) (/usr/local/texlive/2026/texmf-dist/tex/generic/pgf/basiclayer/pgfcoreexternal. code.tex File: pgfcoreexternal.code.tex 2025-08-29 v3.1.11a (3.1.11a) \pgfexternal@startupbox=\box67 ) (/usr/local/texlive/2026/texmf-dist/tex/generic/pgf/basiclayer/pgfcorelayers.co de.tex File: pgfcorelayers.code.tex 2025-08-29 v3.1.11a (3.1.11a) ) (/usr/local/texlive/2026/texmf-dist/tex/generic/pgf/basiclayer/pgfcoretranspare ncy.code.tex File: pgfcoretransparency.code.tex 2025-08-29 v3.1.11a (3.1.11a) ) (/usr/local/texlive/2026/texmf-dist/tex/generic/pgf/basiclayer/pgfcorepatterns. code.tex File: pgfcorepatterns.code.tex 2025-08-29 v3.1.11a (3.1.11a) ) (/usr/local/texlive/2026/texmf-dist/tex/generic/pgf/basiclayer/pgfcorerdf.code. tex File: pgfcorerdf.code.tex 2025-08-29 v3.1.11a (3.1.11a) ))) (/usr/local/texlive/2026/texmf-dist/tex/latex/pgf/utilities/xxcolor.sty Package: xxcolor 2003/10/24 ver 0.1 \XC@nummixins=\count320 \XC@countmixins=\count321 ) (/usr/local/texlive/2026/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 ) (/usr/local/texlive/2026/texmf-dist/tex/latex/hyperref/hyperref.sty Package: hyperref 2026-01-29 v7.01p Hypertext links for LaTeX (/usr/local/texlive/2026/texmf-dist/tex/latex/kvsetkeys/kvsetkeys.sty Package: kvsetkeys 2022-10-05 v1.19 Key value parser (HO) ) (/usr/local/texlive/2026/texmf-dist/tex/generic/kvdefinekeys/kvdefinekeys.sty Package: kvdefinekeys 2019-12-19 v1.6 Define keys (HO) ) (/usr/local/texlive/2026/texmf-dist/tex/generic/pdfescape/pdfescape.sty Package: pdfescape 2019/12/09 v1.15 Implements pdfTeX's escape features (HO) (/usr/local/texlive/2026/texmf-dist/tex/generic/ltxcmds/ltxcmds.sty Package: ltxcmds 2023-12-04 v1.26 LaTeX kernel commands for general use (HO) ) (/usr/local/texlive/2026/texmf-dist/tex/generic/pdftexcmds/pdftexcmds.sty Package: pdftexcmds 2020-06-27 v0.33 Utility functions of pdfTeX for LuaTeX (HO ) (/usr/local/texlive/2026/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/2026/texmf-dist/tex/latex/hycolor/hycolor.sty Package: hycolor 2020-01-27 v1.10 Color options for hyperref/bookmark (HO) ) (/usr/local/texlive/2026/texmf-dist/tex/latex/hyperref/nameref.sty Package: nameref 2026-01-29 v2.58 Cross-referencing by name of section (/usr/local/texlive/2026/texmf-dist/tex/latex/refcount/refcount.sty Package: refcount 2019/12/15 v3.6 Data extraction from label references (HO) ) (/usr/local/texlive/2026/texmf-dist/tex/generic/gettitlestring/gettitlestring.s ty Package: gettitlestring 2019/12/15 v1.6 Cleanup title references (HO) (/usr/local/texlive/2026/texmf-dist/tex/latex/kvoptions/kvoptions.sty Package: kvoptions 2022-06-15 v3.15 Key value format for package options (HO) )) \c@section@level=\count322 ) (/usr/local/texlive/2026/texmf-dist/tex/generic/stringenc/stringenc.sty Package: stringenc 2019/11/29 v1.12 Convert strings between diff. encodings (HO ) ) \@linkdim=\dimen275 \Hy@linkcounter=\count323 \Hy@pagecounter=\count324 (/usr/local/texlive/2026/texmf-dist/tex/latex/hyperref/pd1enc.def File: pd1enc.def 2026-01-29 v7.01p Hyperref: PDFDocEncoding definition (HO) Now handling font encoding PD1 ... ... no UTF-8 mapping file for font encoding PD1 ) (/usr/local/texlive/2026/texmf-dist/tex/generic/intcalc/intcalc.sty Package: intcalc 2019/12/15 v1.3 Expandable calculations with integers (HO) ) \Hy@SavedSpaceFactor=\count325 (/usr/local/texlive/2026/texmf-dist/tex/latex/hyperref/puenc.def File: puenc.def 2026-01-29 v7.01p Hyperref: PDF Unicode definition (HO) Now handling font encoding PU ... ... no UTF-8 mapping file for font encoding PU ) Package hyperref Info: Option `bookmarks' set `true' on input line 4072. Package hyperref Info: Option `bookmarksopen' set `true' on input line 4072. Package hyperref Info: Option `implicit' set `false' on input line 4072. 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 OFF; no redefinition of LaTeX internals. Package hyperref Info: Bookmarks ON on input line 4468. \c@Hy@tempcnt=\count326 (/usr/local/texlive/2026/texmf-dist/tex/latex/url/url.sty \Urlmuskip=\muskip17 Package: url 2013/09/16 ver 3.4 Verb mode for urls, etc. ) LaTeX Info: Redefining \url on input line 4807. \XeTeXLinkMargin=\dimen276 (/usr/local/texlive/2026/texmf-dist/tex/generic/bitset/bitset.sty Package: bitset 2019/12/09 v1.3 Handle bit-vector datatype (HO) (/usr/local/texlive/2026/texmf-dist/tex/generic/bigintcalc/bigintcalc.sty Package: bigintcalc 2019/12/15 v1.5 Expandable calculations on big integers (HO ) )) \Fld@menulength=\count327 \Field@Width=\dimen277 \Fld@charsize=\dimen278 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=\count328 Package hyperref Message: Stopped early. ) Package hyperref Info: Driver (autodetected): hpdftex. (/usr/local/texlive/2026/texmf-dist/tex/latex/hyperref/hpdftex.def File: hpdftex.def 2026-01-29 v7.01p Hyperref driver for pdfTeX \Fld@listcount=\count329 \c@bookmark@seq@number=\count330 (/usr/local/texlive/2026/texmf-dist/tex/latex/rerunfilecheck/rerunfilecheck.sty Package: rerunfilecheck 2025-06-21 v1.11 Rerun checks for auxiliary files (HO) (/usr/local/texlive/2026/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 2 84. )) (/usr/local/texlive/2026/texmf-dist/tex/latex/beamer/beamerbaserequires.sty (/usr/local/texlive/2026/texmf-dist/tex/latex/beamer/beamerbasecompatibility.st y) (/usr/local/texlive/2026/texmf-dist/tex/latex/beamer/beamerbasefont.sty (/usr/local/texlive/2026/texmf-dist/tex/latex/amsfonts/amssymb.sty Package: amssymb 2013/01/14 v3.01 AMS font symbols (/usr/local/texlive/2026/texmf-dist/tex/latex/amsfonts/amsfonts.sty Package: amsfonts 2013/01/14 v3.01 Basic AMSFonts support \@emptytoks=\toks29 \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/2026/texmf-dist/tex/latex/sansmathaccent/sansmathaccent.sty Package: sansmathaccent 2020/01/31 (/usr/local/texlive/2026/texmf-dist/tex/latex/koma-script/scrlfile.sty Package: scrlfile 2026/02/02 v3.49.2 KOMA-Script package (file load hooks) (/usr/local/texlive/2026/texmf-dist/tex/latex/koma-script/scrlfile-hook.sty Package: scrlfile-hook 2026/02/02 v3.49.2 KOMA-Script package (using LaTeX hook s) (/usr/local/texlive/2026/texmf-dist/tex/latex/koma-script/scrlogo.sty Package: scrlogo 2026/02/02 v3.49.2 KOMA-Script package (logo) ))))) (/usr/local/texlive/2026/texmf-dist/tex/latex/beamer/beamerbasetranslator.sty (/usr/local/texlive/2026/texmf-dist/tex/latex/translator/translator.sty Package: translator 2021-05-31 v1.12d Easy translation of strings in LaTeX )) (/usr/local/texlive/2026/texmf-dist/tex/latex/beamer/beamerbasemisc.sty) (/usr/local/texlive/2026/texmf-dist/tex/latex/beamer/beamerbasetwoscreens.sty) (/usr/local/texlive/2026/texmf-dist/tex/latex/beamer/beamerbaseoverlay.sty \beamer@argscount=\count331 \beamer@lastskipcover=\skip52 \beamer@trivlistdepth=\count332 ) (/usr/local/texlive/2026/texmf-dist/tex/latex/beamer/beamerbasetitle.sty) (/usr/local/texlive/2026/texmf-dist/tex/latex/beamer/beamerbasesection.sty \c@lecture=\count333 \c@part=\count334 \c@section=\count335 \c@subsection=\count336 \c@subsubsection=\count337 ) (/usr/local/texlive/2026/texmf-dist/tex/latex/beamer/beamerbaseframe.sty \beamer@framebox=\box68 \beamer@frametitlebox=\box69 \beamer@zoombox=\box70 \beamer@zoomcount=\count338 \beamer@zoomframecount=\count339 \beamer@frametextheight=\dimen279 \c@subsectionslide=\count340 \beamer@frametopskip=\skip53 \beamer@framebottomskip=\skip54 \beamer@frametopskipautobreak=\skip55 \beamer@framebottomskipautobreak=\skip56 \beamer@envbody=\toks30 \framewidth=\dimen280 \c@framenumber=\count341 ) (/usr/local/texlive/2026/texmf-dist/tex/latex/beamer/beamerbaseverbatim.sty \beamer@verbatimfileout=\write4 ) (/usr/local/texlive/2026/texmf-dist/tex/latex/beamer/beamerbaseframesize.sty \beamer@splitbox=\box71 \beamer@autobreakcount=\count342 \beamer@autobreaklastheight=\dimen281 \beamer@frametitletoks=\toks31 \beamer@framesubtitletoks=\toks32 ) (/usr/local/texlive/2026/texmf-dist/tex/latex/beamer/beamerbaseframecomponents. sty \beamer@colheight=\skip57 \beamer@footins=\box72 ) (/usr/local/texlive/2026/texmf-dist/tex/latex/beamer/beamerbasecolor.sty) (/usr/local/texlive/2026/texmf-dist/tex/latex/beamer/beamerbasenotes.sty \beamer@frameboxcopy=\box73 ) (/usr/local/texlive/2026/texmf-dist/tex/latex/beamer/beamerbasetoc.sty) (/usr/local/texlive/2026/texmf-dist/tex/latex/beamer/beamerbasetemplates.sty \beamer@sbttoks=\toks33 (/usr/local/texlive/2026/texmf-dist/tex/latex/beamer/beamerbaseauxtemplates.sty (/usr/local/texlive/2026/texmf-dist/tex/latex/beamer/beamerbaseboxes.sty \bmb@box=\box74 \bmb@colorbox=\box75 \bmb@boxwidth=\dimen282 \bmb@boxheight=\dimen283 \bmb@prevheight=\dimen284 \bmb@temp=\dimen285 \bmb@dima=\dimen286 \bmb@dimb=\dimen287 \bmb@prevheight=\dimen288 ) \beamer@blockheadheight=\dimen289 )) (/usr/local/texlive/2026/texmf-dist/tex/latex/beamer/beamerbaselocalstructure.s ty (/usr/local/texlive/2026/texmf-dist/tex/latex/tools/enumerate.sty Package: enumerate 2023/07/04 v3.00 enumerate extensions (DPC) \@enLab=\toks34 ) \beamer@bibiconwidth=\skip58 \c@figure=\count343 \c@table=\count344 \abovecaptionskip=\skip59 \belowcaptionskip=\skip60 ) (/usr/local/texlive/2026/texmf-dist/tex/latex/beamer/beamerbasenavigation.sty (/usr/local/texlive/2026/texmf-dist/tex/latex/beamer/beamerbasenavigationsymbol s.tex) \beamer@section@min@dim=\dimen290 ) (/usr/local/texlive/2026/texmf-dist/tex/latex/beamer/beamerbasetheorems.sty (/usr/local/texlive/2026/texmf-dist/tex/latex/amsmath/amsmath.sty Package: amsmath 2025/07/09 v2.17z AMS math features \@mathmargin=\skip61 For additional information on amsmath, use the `?' option. (/usr/local/texlive/2026/texmf-dist/tex/latex/amsmath/amstext.sty Package: amstext 2024/11/17 v2.01 AMS text (/usr/local/texlive/2026/texmf-dist/tex/latex/amsmath/amsgen.sty File: amsgen.sty 1999/11/30 v2.0 generic functions \@emptytoks=\toks35 \ex@=\dimen291 )) (/usr/local/texlive/2026/texmf-dist/tex/latex/amsmath/amsbsy.sty Package: amsbsy 1999/11/29 v1.2d Bold Symbols \pmbraise@=\dimen292 ) (/usr/local/texlive/2026/texmf-dist/tex/latex/amsmath/amsopn.sty Package: amsopn 2022/04/08 v2.04 operator names ) \inf@bad=\count345 LaTeX Info: Redefining \frac on input line 233. \uproot@=\count346 \leftroot@=\count347 LaTeX Info: Redefining \overline on input line 398. LaTeX Info: Redefining \colon on input line 409. \classnum@=\count348 \DOTSCASE@=\count349 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@=\box76 \strutbox@=\box77 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=\dimen293 LaTeX Font Info: Redeclaring font encoding OML on input line 742. LaTeX Font Info: Redeclaring font encoding OMS on input line 743. \macc@depth=\count350 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=\count351 \dotsspace@=\muskip18 \c@parentequation=\count352 \dspbrk@lvl=\count353 \tag@help=\toks36 \row@=\count354 \column@=\count355 \maxfields@=\count356 \andhelp@=\toks37 \eqnshift@=\dimen294 \alignsep@=\dimen295 \tagshift@=\dimen296 \tagwidth@=\dimen297 \totwidth@=\dimen298 \lineht@=\dimen299 \@envbody=\toks38 \multlinegap=\skip62 \multlinetaggap=\skip63 \mathdisplay@stack=\toks39 LaTeX Info: Redefining \[ on input line 2950. LaTeX Info: Redefining \] on input line 2951. ) (/usr/local/texlive/2026/texmf-dist/tex/latex/amscls/amsthm.sty Package: amsthm 2020/05/29 v2.20.6 \thm@style=\toks40 \thm@bodyfont=\toks41 \thm@headfont=\toks42 \thm@notefont=\toks43 \thm@headpunct=\toks44 \thm@preskip=\skip64 \thm@postskip=\skip65 \thm@headsep=\skip66 \dth@everypar=\toks45 ) \c@theorem=\count357 ) (/usr/local/texlive/2026/texmf-dist/tex/latex/beamer/beamerbasethemes.sty)) (/usr/local/texlive/2026/texmf-dist/tex/latex/beamer/beamerthemedefault.sty (/usr/local/texlive/2026/texmf-dist/tex/latex/beamer/beamerfontthemedefault.sty ) (/usr/local/texlive/2026/texmf-dist/tex/latex/beamer/beamercolorthemedefault.st y) (/usr/local/texlive/2026/texmf-dist/tex/latex/beamer/beamerinnerthemedefault.st y \beamer@dima=\dimen300 \beamer@dimb=\dimen301 ) (/usr/local/texlive/2026/texmf-dist/tex/latex/beamer/beamerouterthemedefault.st y))) (/usr/local/texlive/2026/texmf-dist/tex/latex/base/inputenc.sty Package: inputenc 2024/02/08 v1.3d Input encoding file \inpenc@prehook=\toks46 \inpenc@posthook=\toks47 ) (/usr/local/texlive/2026/texmf-dist/tex/latex/l3backend/l3backend-pdftex.def File: l3backend-pdftex.def 2025-10-09 L3 backend support: PDF output (pdfTeX) \l__color_backend_stack_int=\count358 ) (./GSF6053_S6.aux) \openout1 = `GSF6053_S6.aux'. LaTeX Font Info: Checking defaults for OML/cmm/m/it on input line 23. LaTeX Font Info: ... okay on input line 23. LaTeX Font Info: Checking defaults for OMS/cmsy/m/n on input line 23. LaTeX Font Info: ... okay on input line 23. LaTeX Font Info: Checking defaults for OT1/cmr/m/n on input line 23. LaTeX Font Info: ... okay on input line 23. LaTeX Font Info: Checking defaults for T1/cmr/m/n on input line 23. LaTeX Font Info: ... okay on input line 23. LaTeX Font Info: Checking defaults for TS1/cmr/m/n on input line 23. LaTeX Font Info: ... okay on input line 23. LaTeX Font Info: Checking defaults for OMX/cmex/m/n on input line 23. LaTeX Font Info: ... okay on input line 23. LaTeX Font Info: Checking defaults for U/cmr/m/n on input line 23. LaTeX Font Info: ... okay on input line 23. LaTeX Font Info: Checking defaults for PD1/pdf/m/n on input line 23. LaTeX Font Info: ... okay on input line 23. LaTeX Font Info: Checking defaults for PU/pdf/m/n on input line 23. LaTeX Font Info: ... okay on input line 23. *geometry* driver: auto-detecting *geometry* detected driver: pdftex *geometry* verbose mode - [ preamble ] result: * driver: pdftex * paper: custom * layout: * layoutoffset:(h,v)=(0.0pt,0.0pt) * modes: includehead includefoot * h-part:(L,W,R)=(28.45274pt, 307.28987pt, 28.45274pt) * v-part:(T,H,B)=(0.0pt, 273.14662pt, 0.0pt) * \paperwidth=364.19536pt * \paperheight=273.14662pt * \textwidth=307.28987pt * \textheight=244.6939pt * \oddsidemargin=-43.81725pt * \evensidemargin=-43.81725pt * \topmargin=-72.26999pt * \headheight=14.22636pt * \headsep=0.0pt * \topskip=11.0pt * \footskip=14.22636pt * \marginparwidth=4.0pt * \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) (/usr/local/texlive/2026/texmf-dist/tex/context/base/mkii/supp-pdf.mkii [Loading MPS to PDF converter (version 2006.09.02).] \scratchcounter=\count359 \scratchdimen=\dimen302 \scratchbox=\box78 \nofMPsegments=\count360 \nofMParguments=\count361 \everyMPshowfont=\toks48 \MPscratchCnt=\count362 \MPscratchDim=\dimen303 \MPnumerator=\count363 \makeMPintoPDFobject=\count364 \everyMPtoPDFconversion=\toks49 ) (/usr/local/texlive/2026/texmf-dist/tex/latex/epstopdf-pkg/epstopdf-base.sty Package: epstopdf-base 2020-01-24 v2.11 Base part for package epstopdf (/usr/local/texlive/2026/texmf-dist/tex/latex/grfext/grfext.sty Package: grfext 2019/12/03 v1.3 Manage graphics extensions (HO) ) 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. (/usr/local/texlive/2026/texmf-dist/tex/latex/latexconfig/epstopdf-sys.cfg File: epstopdf-sys.cfg 2010/07/13 v1.3 Configuration of (r)epstopdf for TeX Liv e )) Package hyperref Info: Link coloring OFF on input line 23. (./GSF6053_S6.out) (./GSF6053_S6.out) \@outlinefile=\write5 \openout5 = `GSF6053_S6.out'. LaTeX Font Info: Overwriting symbol font `operators' in version `normal' (Font) OT1/cmr/m/n --> OT1/cmss/m/n on input line 23. LaTeX Font Info: Overwriting symbol font `operators' in version `bold' (Font) OT1/cmr/bx/n --> OT1/cmss/b/n on input line 23. \symnumbers=\mathgroup6 \sympureletters=\mathgroup7 LaTeX Font Info: Overwriting math alphabet `\mathrm' in version `normal' (Font) OT1/cmss/m/n --> OT1/cmr/m/n on input line 23. LaTeX Font Info: Redeclaring math alphabet \mathbf on input line 23. LaTeX Font Info: Overwriting math alphabet `\mathbf' in version `normal' (Font) OT1/cmr/bx/n --> OT1/cmss/b/n on input line 23. LaTeX Font Info: Overwriting math alphabet `\mathbf' in version `bold' (Font) OT1/cmr/bx/n --> OT1/cmss/b/n on input line 23. LaTeX Font Info: Redeclaring math alphabet \mathsf on input line 23. LaTeX Font Info: Overwriting math alphabet `\mathsf' in version `normal' (Font) OT1/cmss/m/n --> OT1/cmss/m/n on input line 23. LaTeX Font Info: Overwriting math alphabet `\mathsf' in version `bold' (Font) OT1/cmss/bx/n --> OT1/cmss/m/n on input line 23. LaTeX Font Info: Redeclaring math alphabet \mathit on input line 23. LaTeX Font Info: Overwriting math alphabet `\mathit' in version `normal' (Font) OT1/cmr/m/it --> OT1/cmss/m/it on input line 23. LaTeX Font Info: Overwriting math alphabet `\mathit' in version `bold' (Font) OT1/cmr/bx/it --> OT1/cmss/m/it on input line 23. LaTeX Font Info: Redeclaring math alphabet \mathtt on input line 23. LaTeX Font Info: Overwriting math alphabet `\mathtt' in version `normal' (Font) OT1/cmtt/m/n --> OT1/cmtt/m/n on input line 23. LaTeX Font Info: Overwriting math alphabet `\mathtt' in version `bold' (Font) OT1/cmtt/m/n --> OT1/cmtt/m/n on input line 23. LaTeX Font Info: Overwriting symbol font `numbers' in version `bold' (Font) OT1/cmss/m/n --> OT1/cmss/b/n on input line 23. LaTeX Font Info: Overwriting symbol font `pureletters' in version `bold' (Font) OT1/cmss/m/it --> OT1/cmss/b/it on input line 23. LaTeX Font Info: Overwriting math alphabet `\mathrm' in version `bold' (Font) OT1/cmss/b/n --> OT1/cmr/b/n on input line 23. LaTeX Font Info: Overwriting math alphabet `\mathbf' in version `bold' (Font) OT1/cmss/b/n --> OT1/cmss/b/n on input line 23. LaTeX Font Info: Overwriting math alphabet `\mathsf' in version `bold' (Font) OT1/cmss/m/n --> OT1/cmss/b/n on input line 23. LaTeX Font Info: Overwriting math alphabet `\mathit' in version `bold' (Font) OT1/cmss/m/it --> OT1/cmss/b/it on input line 23. LaTeX Font Info: Overwriting math alphabet `\mathtt' in version `bold' (Font) OT1/cmtt/m/n --> OT1/cmtt/b/n on input line 23. LaTeX Font Info: Redeclaring symbol font `pureletters' on input line 23. LaTeX Font Info: Overwriting symbol font `pureletters' in version `normal' (Font) OT1/cmss/m/it --> OT1/mathkerncmss/m/sl on input line 2 3. LaTeX Font Info: Overwriting symbol font `pureletters' in version `bold' (Font) OT1/cmss/b/it --> OT1/mathkerncmss/m/sl on input line 2 3. LaTeX Font Info: Overwriting symbol font `pureletters' in version `bold' (Font) OT1/mathkerncmss/m/sl --> OT1/mathkerncmss/bx/sl on inp ut line 23. (/usr/local/texlive/2026/texmf-dist/tex/latex/translator/translator-basic-dicti onary-English.dict Dictionary: translator-basic-dictionary, Language: English ) (/usr/local/texlive/2026/texmf-dist/tex/latex/translator/translator-bibliograph y-dictionary-English.dict Dictionary: translator-bibliography-dictionary, Language: English ) (/usr/local/texlive/2026/texmf-dist/tex/latex/translator/translator-environment -dictionary-English.dict Dictionary: translator-environment-dictionary, Language: English ) (/usr/local/texlive/2026/texmf-dist/tex/latex/translator/translator-months-dict ionary-English.dict Dictionary: translator-months-dictionary, Language: English ) (/usr/local/texlive/2026/texmf-dist/tex/latex/translator/translator-numbers-dic tionary-English.dict Dictionary: translator-numbers-dictionary, Language: English ) (/usr/local/texlive/2026/texmf-dist/tex/latex/translator/translator-theorem-dic tionary-English.dict Dictionary: translator-theorem-dictionary, Language: English ) (./GSF6053_S6.nav) LaTeX Font Info: Trying to load font information for U+msa on input line 27. (/usr/local/texlive/2026/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 27. (/usr/local/texlive/2026/texmf-dist/tex/latex/amsfonts/umsb.fd File: umsb.fd 2013/01/14 v3.01 AMS symbols B ) LaTeX Font Info: Trying to load font information for OT1+mathkerncmss on inp ut line 27. (/usr/local/texlive/2026/texmf-dist/tex/latex/sansmathaccent/ot1mathkerncmss.fd File: ot1mathkerncmss.fd 2020/01/31 Fontinst v1.933 font definitions for OT1/ma thkerncmss. ) [1 {/usr/local/texlive/2026/texmf-var/fonts/map/pdftex/updmap/pdftex.map}] [2 ] (./GSF6053_S6.toc) [3 ] (./GSF6053_S6.toc) [4 ] [5 ] [6 ] [7 ] [8 ] Overfull \hbox (5.97415pt too wide) detected at line 167 [] [] [9 ] [10 ] [11 ] [12 ] [13 ] [14 ] [15 ] (./GSF6053_S6.toc) [16 ] [17 ] [18 ] [19 ] [20 ] [21 ] [22 ] [23 ] [24 ] [25 ] [26 ] [27 ] [28 ] [29 ] [30 ] [31 ] [32 ] \tf@nav=\write6 \openout6 = `GSF6053_S6.nav'. \tf@toc=\write7 \openout7 = `GSF6053_S6.toc'. \tf@snm=\write8 \openout8 = `GSF6053_S6.snm'. (./GSF6053_S6.aux) *********** LaTeX2e <2025-11-01> L3 programming layer <2026-01-19> *********** Package rerunfilecheck Info: File `GSF6053_S6.out' has not changed. (rerunfilecheck) Checksum: E814451BC90AA5A6B53EBC516330516F;406. ) Here is how much of TeX's memory you used: 21762 strings out of 467525 418402 string characters out of 5418982 814362 words of memory out of 5000000 50159 multiletter control sequences out of 15000+600000 641104 words of font info for 88 fonts, out of 8000000 for 9000 1141 hyphenation exceptions out of 8191 128i,25n,123p,412b,644s stack positions out of 10000i,1000n,20000p,200000b,200000s Output written on GSF6053_S6.pdf (32 pages, 202267 bytes). PDF statistics: 926 PDF objects out of 1000 (max. 8388607) 851 compressed objects within 9 object streams 67 named destinations out of 1000 (max. 500000) 59 words of extra memory for PDF output out of 10000 (max. 10000000)