This is LuaHBTeX, Version 1.21.0 (TeX Live 2025)  (format=lualatex 2025.6.14)  8 MAY 2026 18:19
 restricted system commands enabled.
**/Users/aayushbajaj/Documents/new-site/static/doc/math/measure-theory/stat571/
course-notes/build/check_07.tex

(/Users/aayushbajaj/Documents/new-site/static/doc/math/measure-theory/stat571/c
ourse-notes/build/check_07.tex
LaTeX2e <2024-11-01> patch level 2
L3 programming layer <2025-01-18>
Lua module: luaotfload 2024-12-03 v3.29 Lua based OpenType font support
Lua module: lualibs 2023-07-13 v2.76 ConTeXt Lua standard libraries.
Lua module: lualibs-extended 2023-07-13 v2.76 ConTeXt Lua libraries -- extended 
collection.
luaotfload | conf : Root cache directory is "/Users/aayushbajaj/Library/texlive/
2025/texmf-var/luatex-cache/generic/names".
luaotfload | init : Loading fontloader "fontloader-2023-12-28.lua" from kpse-res
olved path "/usr/local/texlive/2025/texmf-dist/tex/luatex/luaotfload/fontloader-
2023-12-28.lua".
Lua-only attribute luaotfload@noligature = 1
luaotfload | init : Context OpenType loader version 3.134
Inserting `luaotfload.node_processor' in `pre_linebreak_filter'.
Inserting `luaotfload.node_processor' in `hpack_filter'.
Inserting `luaotfload.glyph_stream' in `glyph_stream_provider'.
Inserting `luaotfload.define_font' in `define_font'.
Lua-only attribute luaotfload_color_attribute = 2
luaotfload | conf : Root cache directory is "/Users/aayushbajaj/Library/texlive/
2025/texmf-var/luatex-cache/generic/names".
Inserting `luaotfload.harf.strip_prefix' in `find_opentype_file'.
Inserting `luaotfload.harf.strip_prefix' in `find_truetype_file'.
Removing  `luaotfload.glyph_stream' from `glyph_stream_provider'.
Inserting `luaotfload.harf.glyphstream' in `glyph_stream_provider'.
Inserting `luaotfload.harf.finalize_vlist' in `post_linebreak_filter'.
Inserting `luaotfload.harf.finalize_hlist' in `hpack_filter'.
Inserting `luaotfload.cleanup_files' in `wrapup_run'.
Inserting `luaotfload.harf.finalize_unicode' in `finish_pdffile'.
Inserting `luaotfload.glyphinfo' in `glyph_info'.
Lua-only attribute luaotfload.letterspace_done = 3
Inserting `luaotfload.aux.set_sscale_dimens' in `luaotfload.patch_font'.
Inserting `luaotfload.aux.set_font_index' in `luaotfload.patch_font'.
Inserting `luaotfload.aux.patch_cambria_domh' in `luaotfload.patch_font'.
Inserting `luaotfload.aux.fixup_fontdata' in `luaotfload.patch_font_unsafe'.
Inserting `luaotfload.aux.set_capheight' in `luaotfload.patch_font'.
Inserting `luaotfload.aux.set_xheight' in `luaotfload.patch_font'.
Inserting `luaotfload.rewrite_fontname' in `luaotfload.patch_font'.
Inserting `tracingstacklevels' in `input_level_string'. (/usr/local/texlive/202
5/texmf-dist/tex/latex/base/article.cls
Document Class: article 2024/06/29 v1.4n Standard LaTeX document class
(/usr/local/texlive/2025/texmf-dist/tex/latex/base/size11.clo
File: size11.clo 2024/06/29 v1.4n Standard LaTeX file (size option)
luaotfload | db : Font names database loaded from /Users/aayushbajaj/Library/tex
live/2025/texmf-var/luatex-cache/generic/names/luaotfload-names.luc.gz)
\c@part=\count194
\c@section=\count195
\c@subsection=\count196
\c@subsubsection=\count197
\c@paragraph=\count198
\c@subparagraph=\count199
\c@figure=\count266
\c@table=\count267
\abovecaptionskip=\skip49
\belowcaptionskip=\skip50
\bibindent=\dimen140
)
(../preamble.sty
Package: preamble 2026/05/08 STAT 571 lecture notes preamble

(/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/latex/graphics/keyval.sty
Package: keyval 2022/05/29 v1.15 key=value parser (DPC)
\KV@toks@=\toks17
)
(/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=\count268
\Gm@cntv=\count269
\c@Gm@tempcnt=\count270
\Gm@bindingoffset=\dimen141
\Gm@wd@mp=\dimen142
\Gm@odd@mp=\dimen143
\Gm@even@mp=\dimen144
\Gm@layoutwidth=\dimen145
\Gm@layoutheight=\dimen146
\Gm@layouthoffset=\dimen147
\Gm@layoutvoffset=\dimen148
\Gm@dimlist=\toks18
)
(/usr/local/texlive/2025/texmf-dist/tex/latex/amsmath/amsmath.sty
Package: amsmath 2024/11/05 v2.17t 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 2021/08/26 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=\toks19
\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=\count271
LaTeX Info: Redefining \frac on input line 235.
\uproot@=\count272
\leftroot@=\count273
LaTeX Info: Redefining \overline on input line 398.
LaTeX Info: Redefining \colon on input line 409.
\classnum@=\count274
\DOTSCASE@=\count275
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@=\box52
\strutbox@=\box53
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=\count276
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=\count277
\dotsspace@=\muskip17
\c@parentequation=\count278
\dspbrk@lvl=\count279
\tag@help=\toks20
\row@=\count280
\column@=\count281
\maxfields@=\count282
\andhelp@=\toks21
\eqnshift@=\dimen152
\alignsep@=\dimen153
\tagshift@=\dimen154
\tagwidth@=\dimen155
\totwidth@=\dimen156
\lineht@=\dimen157
\@envbody=\toks22
\multlinegap=\skip52
\multlinetaggap=\skip53
\mathdisplay@stack=\toks23
LaTeX Info: Redefining \[ on input line 2953.
LaTeX Info: Redefining \] on input line 2954.
)
(/usr/local/texlive/2025/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
)
(/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/mathtools/mathtools.sty
Package: mathtools 2024/10/04 v1.31 mathematical typesetting tools

(/usr/local/texlive/2025/texmf-dist/tex/latex/tools/calc.sty
Package: calc 2023/07/08 v4.3 Infix arithmetic (KKT,FJ)
\calc@Acount=\count283
\calc@Bcount=\count284
\calc@Adimen=\dimen158
\calc@Bdimen=\dimen159
\calc@Askip=\skip57
\calc@Bskip=\skip58
LaTeX Info: Redefining \setlength on input line 80.
LaTeX Info: Redefining \addtolength on input line 81.
\calc@Ccount=\count285
\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=\count286
\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=\box54
\xmathstrut@dim=\dimen167
)
(/usr/local/texlive/2025/texmf-dist/tex/latex/tools/bm.sty
Package: bm 2023/12/19 v1.2f Bold Symbol Support (DPC/FMi)
\symboldoperators=\mathgroup6
\symboldletters=\mathgroup7
\symboldsymbols=\mathgroup8
Package bm Info: No bold for \OMX/cmex/m/n, using \pmb.
Package bm Info: No bold for \U/msa/m/n, using \pmb.
Package bm Info: No bold for \U/msb/m/n, using \pmb.
LaTeX Font Info:    Redeclaring math alphabet \mathbf on input line 149.
)
(/usr/local/texlive/2025/texmf-dist/tex/latex/fontspec/fontspec.sty
(/usr/local/texlive/2025/texmf-dist/tex/latex/l3packages/xparse/xparse.sty
(/usr/local/texlive/2025/texmf-dist/tex/latex/l3kernel/expl3.sty
Package: expl3 2025-01-18 L3 programming layer (loader) 

(/usr/local/texlive/2025/texmf-dist/tex/latex/l3backend/l3backend-luatex.def
File: l3backend-luatex.def 2024-05-08 L3 backend support: PDF output (LuaTeX)
\l__color_backend_stack_int=\count287
Inserting `l3color' in `luaotfload.parse_color'.
\l__pdf_internal_box=\box55
))
Package: xparse 2024-08-16 L3 Experimental document command parser
)
Package: fontspec 2024/05/11 v2.9e Font selection for XeLaTeX and LuaLaTeX
Lua module: fontspec 2024/05/11 v2.9e Font selection for XeLaTeX and LuaLaTeX (/usr/local/texlive/2025/texmf-dist/tex/latex/fontspec/fontspec-luatex.sty
Package: fontspec-luatex 2024/05/11 v2.9e Font selection for XeLaTeX and LuaLaT
eX
\l__fontspec_script_int=\count288
\l__fontspec_language_int=\count289
\l__fontspec_strnum_int=\count290
\l__fontspec_tmp_int=\count291
\l__fontspec_tmpa_int=\count292
\l__fontspec_tmpb_int=\count293
\l__fontspec_tmpc_int=\count294
\l__fontspec_em_int=\count295
\l__fontspec_emdef_int=\count296
\l__fontspec_strong_int=\count297
\l__fontspec_strongdef_int=\count298
\l__fontspec_tmpa_dim=\dimen168
\l__fontspec_tmpb_dim=\dimen169
\l__fontspec_tmpc_dim=\dimen170

(/usr/local/texlive/2025/texmf-dist/tex/latex/base/fontenc.sty
Package: fontenc 2021/04/29 v2.0v Standard LaTeX package
)
(/usr/local/texlive/2025/texmf-dist/tex/latex/fontspec/fontspec.cfg)))
luaotfload | cache : Lookup cache loaded from /Users/aayushbajaj/Library/texlive
/2025/texmf-var/luatex-cache/generic/names/luaotfload-lookup-cache.luc.

Package fontspec Info: 
(fontspec)             Font family 'LucidaBright(0)' created for font 'Lucida
(fontspec)             Bright' with options [Ligatures=TeX,UprightFont =
(fontspec)             Lucida Bright,ItalicFont = Lucida Bright
(fontspec)             Italic,BoldFont = Lucida Bright Demibold,BoldItalicFont
(fontspec)             = Lucida Bright Demibold Italic,Ligatures = TeX].
(fontspec)              
(fontspec)              This font family consists of the following NFSS
(fontspec)             series/shapes:
(fontspec)              
(fontspec)             - 'normal' (m/n) with NFSS spec.: <->"name:Lucida
(fontspec)             Bright:mode=node;language=dflt;+tlig;"
(fontspec)             - 'bold' (b/n) with NFSS spec.: <->"name:Lucida Bright
(fontspec)             Demibold:mode=node;language=dflt;+tlig;"
(fontspec)             - 'italic' (m/it) with NFSS spec.: <->"name:Lucida
(fontspec)             Bright Italic:mode=node;language=dflt;+tlig;"
(fontspec)             - 'bold italic' (b/it) with NFSS spec.: <->"name:Lucida
(fontspec)             Bright Demibold Italic:mode=node;language=dflt;+tlig;"


Package fontspec Info: 
(fontspec)             Cabin scale = 0.95.


Package fontspec Info: 
(fontspec)             Cabin scale = 0.95.


Package fontspec Info: 
(fontspec)             Cabin scale = 0.95.


Package fontspec Info: 
(fontspec)             Cabin/B scale = 0.95.


Package fontspec Info: 
(fontspec)             Cabin/B scale = 0.95.


Package fontspec Info: 
(fontspec)             Cabin/I scale = 0.95.


Package fontspec Info: 
(fontspec)             Cabin/I scale = 0.95.


Package fontspec Info: 
(fontspec)             Cabin/BI scale = 0.95.


Package fontspec Info: 
(fontspec)             Cabin/BI scale = 0.95.


Package fontspec Info: 
(fontspec)             Font family 'Cabin(0)' created for font 'Cabin' with
(fontspec)             options [Ligatures=TeX,Scale=0.95,Ligatures=TeX].
(fontspec)              
(fontspec)              This font family consists of the following NFSS
(fontspec)             series/shapes:
(fontspec)              
(fontspec)             - 'normal' (m/n) with NFSS spec.:
(fontspec)             <->s*[0.95]"name:Cabin:mode=node;script=latn;language=df
lt;+tlig;"
(fontspec)             - 'small caps'  (m/sc) with NFSS spec.:
(fontspec)             <->s*[0.95]"name:Cabin:mode=node;script=latn;language=df
lt;+tlig;+smcp;"
(fontspec)             - 'bold' (b/n) with NFSS spec.:
(fontspec)             <->s*[0.95]"name:Cabin/B:mode=node;script=latn;language=
dflt;+tlig;"
(fontspec)             - 'bold small caps'  (b/sc) with NFSS spec.:
(fontspec)             <->s*[0.95]"name:Cabin/B:mode=node;script=latn;language=
dflt;+tlig;+smcp;"
(fontspec)             - 'italic' (m/it) with NFSS spec.:
(fontspec)             <->s*[0.95]"name:Cabin/I:mode=node;script=latn;language=
dflt;+tlig;"
(fontspec)             - 'italic small caps'  (m/scit) with NFSS spec.:
(fontspec)             <->s*[0.95]"name:Cabin/I:mode=node;script=latn;language=
dflt;+tlig;+smcp;"
(fontspec)             - 'bold italic' (b/it) with NFSS spec.:
(fontspec)             <->s*[0.95]"name:Cabin/BI:mode=node;script=latn;language
=dflt;+tlig;"
(fontspec)             - 'bold italic small caps'  (b/scit) with NFSS spec.:
(fontspec)             <->s*[0.95]"name:Cabin/BI:mode=node;script=latn;language
=dflt;+tlig;+smcp;"


Package fontspec Info: 
(fontspec)             Inconsolata scale = 1.160330901074239.


Package fontspec Info: 
(fontspec)             Could not resolve font "Inconsolata/BI" (it probably
(fontspec)             doesn't exist).


Package fontspec Info: 
(fontspec)             Could not resolve font "Inconsolata/B" (it probably
(fontspec)             doesn't exist).


Package fontspec Info: 
(fontspec)             Could not resolve font "Inconsolata/I" (it probably
(fontspec)             doesn't exist).


Package fontspec Info: 
(fontspec)             Inconsolata scale = 1.160330901074239.


Package fontspec Info: 
(fontspec)             Font family 'Inconsolata(0)' created for font
(fontspec)             'Inconsolata' with options
(fontspec)             [WordSpace={1,0,0},HyphenChar=None,PunctuationSpace=Word
Space,Scale=MatchLowercase].
(fontspec)              
(fontspec)              This font family consists of the following NFSS
(fontspec)             series/shapes:
(fontspec)              
(fontspec)             - 'normal' (m/n) with NFSS spec.:
(fontspec)             <->s*[1.160330901074239]"name:Inconsolata:mode=node;scri
pt=latn;language=dflt;"


(/usr/local/texlive/2025/texmf-dist/tex/latex/microtype/microtype.sty
Package: microtype 2025/02/11 v3.2a Micro-typographical refinements (RS)

(/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=\count299
)
\MT@toks=\toks30
\MT@tempbox=\box56
\MT@count=\count300
LaTeX Info: Redefining \noprotrusionifhmode on input line 1087.
LaTeX Info: Redefining \leftprotrusion on input line 1088.
\MT@prot@toks=\toks31
LaTeX Info: Redefining \rightprotrusion on input line 1107.
LaTeX Info: Redefining \textls on input line 1449.
\MT@outer@kern=\dimen171
LaTeX Info: Redefining \microtypecontext on input line 2053.
LaTeX Info: Redefining \textmicrotypecontext on input line 2070.
\MT@listname@count=\count301

(/usr/local/texlive/2025/texmf-dist/tex/latex/microtype/microtype-luatex.def
File: microtype-luatex.def 2025/02/11 v3.2a Definitions specific to luatex (RS)

Lua module: microtype 2025/02/11 v3.2a microtype module.
Module microtype Info: overwriting function `keepligature' on input line 63
LaTeX Info: Redefining \lsstyle on input line 779.
LaTeX Info: Redefining \lslig on input line 779.
\MT@outer@space=\skip61
)
Package microtype Info: Loading configuration file microtype.cfg.

(/usr/local/texlive/2025/texmf-dist/tex/latex/microtype/microtype.cfg
File: microtype.cfg 2025/02/11 v3.2a microtype main configuration file (RS)
)
LaTeX Info: Redefining \microtypesetup on input line 3065.
)
(/usr/local/texlive/2025/texmf-dist/tex/latex/unicode-math/unicode-math.sty
Package: unicode-math 2023/08/13 v0.8r Unicode maths in XeLaTeX and LuaLaTeX

(/usr/local/texlive/2025/texmf-dist/tex/latex/unicode-math/unicode-math-luatex.
sty
Package: unicode-math-luatex 2023/08/13 v0.8r Unicode maths in XeLaTeX and LuaL
aTeX

(/usr/local/texlive/2025/texmf-dist/tex/latex/l3packages/l3keys2e/l3keys2e.sty
Package: l3keys2e 2024-08-16 LaTeX2e option processing using LaTeX3 keys
) (/usr/local/texlive/2025/texmf-dist/tex/latex/base/fix-cm.sty
Package: fix-cm 2020/11/24 v1.1t fixes to LaTeX

(/usr/local/texlive/2025/texmf-dist/tex/latex/base/ts1enc.def
File: ts1enc.def 2001/06/05 v3.0e (jk/car/fm) Standard LaTeX file
LaTeX Font Info:    Redeclaring font encoding TS1 on input line 47.
))
(/usr/local/texlive/2025/texmf-dist/tex/lualatex/lualatex-math/lualatex-math.st
y
Package: lualatex-math 2022/01/01 v1.12 Patches for mathematics typesetting wit
h LuaLaTeX
Lua module: lualatex-math 2013/08/03 v1.3 Patches for mathematics typesetting wi
th LuaLaTeX)
\g__um_fam_int=\count302
\g__um_fonts_used_int=\count303
\l__um_primecount_int=\count304
\g__um_primekern_muskip=\muskip18

(/usr/local/texlive/2025/texmf-dist/tex/latex/unicode-math/unicode-math-table.t
ex)))

Package fontspec Info: 
(fontspec)             Could not resolve font "Latin Modern Math/B" (it
(fontspec)             probably doesn't exist).


Package fontspec Info: 
(fontspec)             Font family 'LatinModernMath(0)' created for font
(fontspec)             'Latin Modern Math' with options
(fontspec)             [Renderer=Basic,BoldItalicFont={},ItalicFont={},SmallCap
sFont={},Script=Math,RawFeature={mathfontdimen=xetex}].
(fontspec)              
(fontspec)              This font family consists of the following NFSS
(fontspec)             series/shapes:
(fontspec)              
(fontspec)             - 'normal' (m/n) with NFSS spec.: <->"name:Latin Modern
(fontspec)             Math:mode=base;script=math;language=dflt;mathfontdimen=x
etex;"


Package fontspec Info: 
(fontspec)             Could not resolve font "Latin Modern Math/B" (it
(fontspec)             probably doesn't exist).


Package fontspec Info: 
(fontspec)             Font family 'LatinModernMath(1)' created for font
(fontspec)             'Latin Modern Math' with options
(fontspec)             [Renderer=Basic,BoldItalicFont={},ItalicFont={},SmallCap
sFont={},Script=Math,SizeFeatures={{Size=9.3075-},{Size=6.57-9.3075,Font=Latin
(fontspec)             Modern Math,Style=MathScript},{Size=-6.57,Font=Latin
(fontspec)             Modern
(fontspec)             Math,Style=MathScriptScript}},RawFeature={mathfontdimen=
xetex}].
(fontspec)              
(fontspec)              This font family consists of the following NFSS
(fontspec)             series/shapes:
(fontspec)              
(fontspec)             - 'normal' (m/n) with NFSS spec.: <9.3075->"name:Latin
(fontspec)             Modern
(fontspec)             Math:mode=base;script=math;language=dflt;mathfontdimen=x
etex;"<6.57-9.3075>"name:Latin
(fontspec)             Modern
(fontspec)             Math:mode=base;script=math;language=dflt;mathfontdimen=x
etex;+ssty=0;"<-6.57>"name:Latin
(fontspec)             Modern
(fontspec)             Math:mode=base;script=math;language=dflt;mathfontdimen=x
etex;+ssty=1;"

LaTeX Font Info:    Encoding `OT1' has changed to `TU' for symbol font
(Font)              `operators' in the math version `normal' on input line 40.
LaTeX Font Info:    Overwriting symbol font `operators' in version `normal'
(Font)                  OT1/cmr/m/n --> TU/LatinModernMath(1)/m/n on input line
 40.
LaTeX Font Info:    Encoding `OT1' has changed to `TU' for symbol font
(Font)              `operators' in the math version `bold' on input line 40.
LaTeX Font Info:    Overwriting symbol font `operators' in version `bold'
(Font)                  OT1/cmr/bx/n --> TU/LatinModernMath(1)/b/n on input lin
e 40.

Package fontspec Info: 
(fontspec)             Could not resolve font "Latin Modern Math/B" (it
(fontspec)             probably doesn't exist).


Package fontspec Info: 
(fontspec)             Font family 'LatinModernMath(2)' created for font
(fontspec)             'Latin Modern Math' with options
(fontspec)             [Renderer=Basic,BoldItalicFont={},ItalicFont={},SmallCap
sFont={},Script=Math,SizeFeatures={{Size=9.3075-},{Size=6.57-9.3075,Font=Latin
(fontspec)             Modern Math,Style=MathScript},{Size=-6.57,Font=Latin
(fontspec)             Modern
(fontspec)             Math,Style=MathScriptScript}},RawFeature={mathfontdimen=
xetex},RawFeature={mathfontdimen=tex2}].
(fontspec)              
(fontspec)              This font family consists of the following NFSS
(fontspec)             series/shapes:
(fontspec)              
(fontspec)             - 'normal' (m/n) with NFSS spec.: <9.3075->"name:Latin
(fontspec)             Modern
(fontspec)             Math:mode=base;script=math;language=dflt;mathfontdimen=x
etex;mathfontdimen=tex2;"<6.57-9.3075>"name:Latin
(fontspec)             Modern
(fontspec)             Math:mode=base;script=math;language=dflt;mathfontdimen=x
etex;mathfontdimen=tex2;+ssty=0;"<-6.57>"name:Latin
(fontspec)             Modern
(fontspec)             Math:mode=base;script=math;language=dflt;mathfontdimen=x
etex;mathfontdimen=tex2;+ssty=1;"

LaTeX Font Info:    Encoding `OMS' has changed to `TU' for symbol font
(Font)              `symbols' in the math version `normal' on input line 40.
LaTeX Font Info:    Overwriting symbol font `symbols' in version `normal'
(Font)                  OMS/cmsy/m/n --> TU/LatinModernMath(2)/m/n on input lin
e 40.
LaTeX Font Info:    Encoding `OMS' has changed to `TU' for symbol font
(Font)              `symbols' in the math version `bold' on input line 40.
LaTeX Font Info:    Overwriting symbol font `symbols' in version `bold'
(Font)                  OMS/cmsy/b/n --> TU/LatinModernMath(2)/b/n on input lin
e 40.

Package fontspec Info: 
(fontspec)             Could not resolve font "Latin Modern Math/B" (it
(fontspec)             probably doesn't exist).


Package fontspec Info: 
(fontspec)             Font family 'LatinModernMath(3)' created for font
(fontspec)             'Latin Modern Math' with options
(fontspec)             [Renderer=Basic,BoldItalicFont={},ItalicFont={},SmallCap
sFont={},Script=Math,SizeFeatures={{Size=9.3075-},{Size=6.57-9.3075,Font=Latin
(fontspec)             Modern Math,Style=MathScript},{Size=-6.57,Font=Latin
(fontspec)             Modern
(fontspec)             Math,Style=MathScriptScript}},RawFeature={mathfontdimen=
xetex},RawFeature={mathfontdimen=tex3}].
(fontspec)              
(fontspec)              This font family consists of the following NFSS
(fontspec)             series/shapes:
(fontspec)              
(fontspec)             - 'normal' (m/n) with NFSS spec.: <9.3075->"name:Latin
(fontspec)             Modern
(fontspec)             Math:mode=base;script=math;language=dflt;mathfontdimen=x
etex;mathfontdimen=tex3;"<6.57-9.3075>"name:Latin
(fontspec)             Modern
(fontspec)             Math:mode=base;script=math;language=dflt;mathfontdimen=x
etex;mathfontdimen=tex3;+ssty=0;"<-6.57>"name:Latin
(fontspec)             Modern
(fontspec)             Math:mode=base;script=math;language=dflt;mathfontdimen=x
etex;mathfontdimen=tex3;+ssty=1;"

LaTeX Font Info:    Encoding `OMX' has changed to `TU' for symbol font
(Font)              `largesymbols' in the math version `normal' on input line 4
0.
LaTeX Font Info:    Overwriting symbol font `largesymbols' in version `normal'
(Font)                  OMX/cmex/m/n --> TU/LatinModernMath(3)/m/n on input lin
e 40.
LaTeX Font Info:    Encoding `OMX' has changed to `TU' for symbol font
(Font)              `largesymbols' in the math version `bold' on input line 40.

LaTeX Font Info:    Overwriting symbol font `largesymbols' in version `bold'
(Font)                  OMX/cmex/m/n --> TU/LatinModernMath(3)/b/n on input lin
e 40.
LaTeX Font Info:    Trying to load font information for U+msa on input line 40.

 (/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 40.


(/usr/local/texlive/2025/texmf-dist/tex/latex/amsfonts/umsb.fd
File: umsb.fd 2013/01/14 v3.01 AMS symbols B
)

Package fontspec Info: 
(fontspec)             XITS Math scale = 1.164642733099681.


Package fontspec Info: 
(fontspec)             XITS Math scale = 1.164642733099681.


Package fontspec Info: 
(fontspec)             XITS Math scale = 1.164642733099681.


Package fontspec Info: 
(fontspec)             XITS Math scale = 1.164642733099681.


Package fontspec Info: 
(fontspec)             XITS Math/B scale = 1.140522188690447.


Package fontspec Info: 
(fontspec)             Font family 'XITSMath(0)' created for font 'XITS Math'
(fontspec)             with options
(fontspec)             [Renderer=Basic,BoldItalicFont={},ItalicFont={},SmallCap
sFont={},Script=Math,SizeFeatures={{Size=9.3075-},{Size=6.57-9.3075,Font=XITS
(fontspec)             Math,Style=MathScript},{Size=-6.57,Font=XITS
(fontspec)             Math,Style=MathScriptScript}},RawFeature={mathfontdimen=
xetex},Scale={MatchUppercase}].
(fontspec)              
(fontspec)              This font family consists of the following NFSS
(fontspec)             series/shapes:
(fontspec)              
(fontspec)             - 'normal' (m/n) with NFSS spec.:
(fontspec)             <9.3075->s*[1.164642733099681]"name:XITS
(fontspec)             Math:mode=base;script=math;language=dflt;mathfontdimen=x
etex;"<6.57-9.3075>s*[1.164642733099681]"name:XITS
(fontspec)             Math:mode=base;script=math;language=dflt;mathfontdimen=x
etex;+ssty=0;"<-6.57>s*[1.164642733099681]"name:XITS
(fontspec)             Math:mode=base;script=math;language=dflt;mathfontdimen=x
etex;+ssty=1;"
(fontspec)             - 'bold' (b/n) with NFSS spec.:
(fontspec)             <->s*[1.140522188690447]"name:XITS
(fontspec)             Math/B:mode=base;script=math;language=dflt;mathfontdimen
=xetex;"

LaTeX Font Info:    Font shape `TU/XITSMath(0)/m/n' will be
(Font)              scaled to size 12.75282pt on input line 48.
\sym__um_fam1=\mathgroup9
LaTeX Font Info:    Overwriting symbol font `__um_fam1' in version `normal'
(Font)                  TU/XITSMath(0)/m/n --> TU/XITSMath(0)/m/n on input line
 48.
LaTeX Font Info:    Overwriting symbol font `__um_fam1' in version `bold'
(Font)                  TU/XITSMath(0)/m/n --> TU/XITSMath(0)/b/n on input line
 48.
LaTeX Font Info:    Font shape `TU/XITSMath(0)/m/n' will be
(Font)              scaled to size 8.92697pt on input line 48.
LaTeX Font Info:    Font shape `TU/XITSMath(0)/m/n' will be
(Font)              scaled to size 6.37642pt on input line 48.

Package fontspec Info: 
(fontspec)             Could not resolve font "TeX Gyre Pagella Math/B" (it
(fontspec)             probably doesn't exist).


Package fontspec Info: 
(fontspec)             Font family 'TeXGyrePagellaMath(0)' created for font
(fontspec)             'TeX Gyre Pagella Math' with options
(fontspec)             [Renderer=Basic,BoldItalicFont={},ItalicFont={},SmallCap
sFont={},Script=Math,SizeFeatures={{Size=9.3075-},{Size=6.57-9.3075,Font=TeX
(fontspec)             Gyre Pagella
(fontspec)             Math,Style=MathScript},{Size=-6.57,Font=TeX Gyre
(fontspec)             Pagella
(fontspec)             Math,Style=MathScriptScript}},RawFeature={mathfontdimen=
xetex},StylisticSet={1}].
(fontspec)              
(fontspec)              This font family consists of the following NFSS
(fontspec)             series/shapes:
(fontspec)              
(fontspec)             - 'normal' (m/n) with NFSS spec.: <9.3075->"name:TeX
(fontspec)             Gyre Pagella
(fontspec)             Math:mode=base;script=math;language=dflt;mathfontdimen=x
etex;+ss01;"<6.57-9.3075>"name:TeX
(fontspec)             Gyre Pagella
(fontspec)             Math:mode=base;script=math;language=dflt;mathfontdimen=x
etex;+ss01;+ssty=0;"<-6.57>"name:TeX
(fontspec)             Gyre Pagella
(fontspec)             Math:mode=base;script=math;language=dflt;mathfontdimen=x
etex;+ss01;+ssty=1;"

\sym__um_fam2=\mathgroup10
LaTeX Font Info:    Overwriting symbol font `__um_fam2' in version `normal'
(Font)                  TU/TeXGyrePagellaMath(0)/m/n --> TU/TeXGyrePagellaMath(
0)/m/n on input line 49.
LaTeX Font Info:    Overwriting symbol font `__um_fam2' in version `bold'
(Font)                  TU/TeXGyrePagellaMath(0)/m/n --> TU/TeXGyrePagellaMath(
0)/b/n on input line 49.

Package fontspec Info: 
(fontspec)             Font family 'XITSMath(1)' created for font 'XITS Math'
(fontspec)             with options
(fontspec)             [Renderer=Basic,BoldItalicFont={},ItalicFont={},SmallCap
sFont={},Script=Math,SizeFeatures={{Size=9.3075-},{Size=6.57-9.3075,Font=XITS
(fontspec)             Math,Style=MathScript},{Size=-6.57,Font=XITS
(fontspec)             Math,Style=MathScriptScript}},RawFeature={mathfontdimen=
xetex}].
(fontspec)              
(fontspec)              This font family consists of the following NFSS
(fontspec)             series/shapes:
(fontspec)              
(fontspec)             - 'normal' (m/n) with NFSS spec.: <9.3075->"name:XITS
(fontspec)             Math:mode=base;script=math;language=dflt;mathfontdimen=x
etex;"<6.57-9.3075>"name:XITS
(fontspec)             Math:mode=base;script=math;language=dflt;mathfontdimen=x
etex;+ssty=0;"<-6.57>"name:XITS
(fontspec)             Math:mode=base;script=math;language=dflt;mathfontdimen=x
etex;+ssty=1;"
(fontspec)             - 'bold' (b/n) with NFSS spec.: <->"name:XITS
(fontspec)             Math/B:mode=base;script=math;language=dflt;mathfontdimen
=xetex;"

\sym__um_fam3=\mathgroup11
LaTeX Font Info:    Overwriting symbol font `__um_fam3' in version `normal'
(Font)                  TU/XITSMath(1)/m/n --> TU/XITSMath(1)/m/n on input line
 50.
LaTeX Font Info:    Overwriting symbol font `__um_fam3' in version `bold'
(Font)                  TU/XITSMath(1)/m/n --> TU/XITSMath(1)/b/n on input line
 50.

(/usr/local/texlive/2025/texmf-dist/tex/latex/graphics/graphicx.sty
Package: graphicx 2021/09/16 v1.2d 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: luatex.def on input line 106.

(/usr/local/texlive/2025/texmf-dist/tex/latex/graphics-def/luatex.def
File: luatex.def 2024/04/13 v1.2e Graphics/color driver for luatex
))
\Gin@req@height=\dimen172
\Gin@req@width=\dimen173
)
(/usr/local/texlive/2025/texmf-dist/tex/latex/pgf/frontendlayer/tikz.sty
(/usr/local/texlive/2025/texmf-dist/tex/latex/pgf/basiclayer/pgf.sty
(/usr/local/texlive/2025/texmf-dist/tex/latex/pgf/utilities/pgfrcs.sty
(/usr/local/texlive/2025/texmf-dist/tex/generic/pgf/utilities/pgfutil-common.te
x
\pgfutil@everybye=\toks32
\pgfutil@tempdima=\dimen174
\pgfutil@tempdimb=\dimen175
)
(/usr/local/texlive/2025/texmf-dist/tex/generic/pgf/utilities/pgfutil-latex.def
\pgfutil@abb=\box57
) (/usr/local/texlive/2025/texmf-dist/tex/generic/pgf/utilities/pgfrcs.code.tex
(/usr/local/texlive/2025/texmf-dist/tex/generic/pgf/pgf.revision.tex)
Package: pgfrcs 2023-01-15 v3.1.10 (3.1.10)
))
Package: pgf 2023-01-15 v3.1.10 (3.1.10)

(/usr/local/texlive/2025/texmf-dist/tex/latex/pgf/basiclayer/pgfcore.sty
(/usr/local/texlive/2025/texmf-dist/tex/latex/pgf/systemlayer/pgfsys.sty
(/usr/local/texlive/2025/texmf-dist/tex/generic/pgf/systemlayer/pgfsys.code.tex
Package: pgfsys 2023-01-15 v3.1.10 (3.1.10)
(/usr/local/texlive/2025/texmf-dist/tex/generic/pgf/utilities/pgfkeys.code.tex
\pgfkeys@pathtoks=\toks33
\pgfkeys@temptoks=\toks34

(/usr/local/texlive/2025/texmf-dist/tex/generic/pgf/utilities/pgfkeyslibraryfil
tered.code.tex
\pgfkeys@tmptoks=\toks35
))
\pgf@x=\dimen176
\pgf@y=\dimen177
\pgf@xa=\dimen178
\pgf@ya=\dimen179
\pgf@xb=\dimen180
\pgf@yb=\dimen181
\pgf@xc=\dimen182
\pgf@yc=\dimen183
\pgf@xd=\dimen184
\pgf@yd=\dimen185
\w@pgf@writea=\write3
\r@pgf@reada=\read2
\c@pgf@counta=\count305
\c@pgf@countb=\count306
\c@pgf@countc=\count307
\c@pgf@countd=\count308
\t@pgf@toka=\toks36
\t@pgf@tokb=\toks37
\t@pgf@tokc=\toks38
\pgf@sys@id@count=\count309

(/usr/local/texlive/2025/texmf-dist/tex/generic/pgf/systemlayer/pgf.cfg
File: pgf.cfg 2023-01-15 v3.1.10 (3.1.10)
)
Driver file for pgf: pgfsys-luatex.def

(/usr/local/texlive/2025/texmf-dist/tex/generic/pgf/systemlayer/pgfsys-luatex.d
ef
File: pgfsys-luatex.def 2023-01-15 v3.1.10 (3.1.10)

(/usr/local/texlive/2025/texmf-dist/tex/generic/pgf/systemlayer/pgfsys-common-p
df.def
File: pgfsys-common-pdf.def 2023-01-15 v3.1.10 (3.1.10)
)))
(/usr/local/texlive/2025/texmf-dist/tex/generic/pgf/systemlayer/pgfsyssoftpath.
code.tex
File: pgfsyssoftpath.code.tex 2023-01-15 v3.1.10 (3.1.10)
\pgfsyssoftpath@smallbuffer@items=\count310
\pgfsyssoftpath@bigbuffer@items=\count311
)
(/usr/local/texlive/2025/texmf-dist/tex/generic/pgf/systemlayer/pgfsysprotocol.
code.tex
File: pgfsysprotocol.code.tex 2023-01-15 v3.1.10 (3.1.10)
)) (/usr/local/texlive/2025/texmf-dist/tex/latex/xcolor/xcolor.sty
Package: xcolor 2024/09/29 v3.02 LaTeX color extensions (UK)

(/usr/local/texlive/2025/texmf-dist/tex/latex/graphics-cfg/color.cfg
File: color.cfg 2016/01/02 v1.6 sample color configuration
)
Package xcolor Info: Driver file: luatex.def on input line 274.

(/usr/local/texlive/2025/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/2025/texmf-dist/tex/generic/pgf/basiclayer/pgfcore.code.tex
Package: pgfcore 2023-01-15 v3.1.10 (3.1.10)
(/usr/local/texlive/2025/texmf-dist/tex/generic/pgf/math/pgfmath.code.tex
(/usr/local/texlive/2025/texmf-dist/tex/generic/pgf/math/pgfmathutil.code.tex)
(/usr/local/texlive/2025/texmf-dist/tex/generic/pgf/math/pgfmathparser.code.tex
\pgfmath@dimen=\dimen186
\pgfmath@count=\count312
\pgfmath@box=\box58
\pgfmath@toks=\toks39
\pgfmath@stack@operand=\toks40
\pgfmath@stack@operation=\toks41
)
(/usr/local/texlive/2025/texmf-dist/tex/generic/pgf/math/pgfmathfunctions.code.
tex)
(/usr/local/texlive/2025/texmf-dist/tex/generic/pgf/math/pgfmathfunctions.basic
.code.tex)
(/usr/local/texlive/2025/texmf-dist/tex/generic/pgf/math/pgfmathfunctions.trigo
nometric.code.tex)
(/usr/local/texlive/2025/texmf-dist/tex/generic/pgf/math/pgfmathfunctions.rando
m.code.tex)
(/usr/local/texlive/2025/texmf-dist/tex/generic/pgf/math/pgfmathfunctions.compa
rison.code.tex)
(/usr/local/texlive/2025/texmf-dist/tex/generic/pgf/math/pgfmathfunctions.base.
code.tex)
(/usr/local/texlive/2025/texmf-dist/tex/generic/pgf/math/pgfmathfunctions.round
.code.tex)
(/usr/local/texlive/2025/texmf-dist/tex/generic/pgf/math/pgfmathfunctions.misc.
code.tex)
(/usr/local/texlive/2025/texmf-dist/tex/generic/pgf/math/pgfmathfunctions.integ
erarithmetics.code.tex)
(/usr/local/texlive/2025/texmf-dist/tex/generic/pgf/math/pgfmathcalc.code.tex)
(/usr/local/texlive/2025/texmf-dist/tex/generic/pgf/math/pgfmathfloat.code.tex
\c@pgfmathroundto@lastzeros=\count313
)) (/usr/local/texlive/2025/texmf-dist/tex/generic/pgf/math/pgfint.code.tex)
(/usr/local/texlive/2025/texmf-dist/tex/generic/pgf/basiclayer/pgfcorepoints.co
de.tex
File: pgfcorepoints.code.tex 2023-01-15 v3.1.10 (3.1.10)
\pgf@picminx=\dimen187
\pgf@picmaxx=\dimen188
\pgf@picminy=\dimen189
\pgf@picmaxy=\dimen190
\pgf@pathminx=\dimen191
\pgf@pathmaxx=\dimen192
\pgf@pathminy=\dimen193
\pgf@pathmaxy=\dimen194
\pgf@xx=\dimen195
\pgf@xy=\dimen196
\pgf@yx=\dimen197
\pgf@yy=\dimen198
\pgf@zx=\dimen199
\pgf@zy=\dimen256
)
(/usr/local/texlive/2025/texmf-dist/tex/generic/pgf/basiclayer/pgfcorepathconst
ruct.code.tex
File: pgfcorepathconstruct.code.tex 2023-01-15 v3.1.10 (3.1.10)
\pgf@path@lastx=\dimen257
\pgf@path@lasty=\dimen258
)
(/usr/local/texlive/2025/texmf-dist/tex/generic/pgf/basiclayer/pgfcorepathusage
.code.tex
File: pgfcorepathusage.code.tex 2023-01-15 v3.1.10 (3.1.10)
\pgf@shorten@end@additional=\dimen259
\pgf@shorten@start@additional=\dimen260
)
(/usr/local/texlive/2025/texmf-dist/tex/generic/pgf/basiclayer/pgfcorescopes.co
de.tex
File: pgfcorescopes.code.tex 2023-01-15 v3.1.10 (3.1.10)
\pgfpic=\box59
\pgf@hbox=\box60
\pgf@layerbox@main=\box61
\pgf@picture@serial@count=\count314
)
(/usr/local/texlive/2025/texmf-dist/tex/generic/pgf/basiclayer/pgfcoregraphicst
ate.code.tex
File: pgfcoregraphicstate.code.tex 2023-01-15 v3.1.10 (3.1.10)
\pgflinewidth=\dimen261
)
(/usr/local/texlive/2025/texmf-dist/tex/generic/pgf/basiclayer/pgfcoretransform
ations.code.tex
File: pgfcoretransformations.code.tex 2023-01-15 v3.1.10 (3.1.10)
\pgf@pt@x=\dimen262
\pgf@pt@y=\dimen263
\pgf@pt@temp=\dimen264
)
(/usr/local/texlive/2025/texmf-dist/tex/generic/pgf/basiclayer/pgfcorequick.cod
e.tex
File: pgfcorequick.code.tex 2023-01-15 v3.1.10 (3.1.10)
)
(/usr/local/texlive/2025/texmf-dist/tex/generic/pgf/basiclayer/pgfcoreobjects.c
ode.tex
File: pgfcoreobjects.code.tex 2023-01-15 v3.1.10 (3.1.10)
)
(/usr/local/texlive/2025/texmf-dist/tex/generic/pgf/basiclayer/pgfcorepathproce
ssing.code.tex
File: pgfcorepathprocessing.code.tex 2023-01-15 v3.1.10 (3.1.10)
)
(/usr/local/texlive/2025/texmf-dist/tex/generic/pgf/basiclayer/pgfcorearrows.co
de.tex
File: pgfcorearrows.code.tex 2023-01-15 v3.1.10 (3.1.10)
\pgfarrowsep=\dimen265
)
(/usr/local/texlive/2025/texmf-dist/tex/generic/pgf/basiclayer/pgfcoreshade.cod
e.tex
File: pgfcoreshade.code.tex 2023-01-15 v3.1.10 (3.1.10)
\pgf@max=\dimen266
\pgf@sys@shading@range@num=\count315
\pgf@shadingcount=\count316
)
(/usr/local/texlive/2025/texmf-dist/tex/generic/pgf/basiclayer/pgfcoreimage.cod
e.tex
File: pgfcoreimage.code.tex 2023-01-15 v3.1.10 (3.1.10)
)
(/usr/local/texlive/2025/texmf-dist/tex/generic/pgf/basiclayer/pgfcoreexternal.
code.tex
File: pgfcoreexternal.code.tex 2023-01-15 v3.1.10 (3.1.10)
\pgfexternal@startupbox=\box62
)
(/usr/local/texlive/2025/texmf-dist/tex/generic/pgf/basiclayer/pgfcorelayers.co
de.tex
File: pgfcorelayers.code.tex 2023-01-15 v3.1.10 (3.1.10)
)
(/usr/local/texlive/2025/texmf-dist/tex/generic/pgf/basiclayer/pgfcoretranspare
ncy.code.tex
File: pgfcoretransparency.code.tex 2023-01-15 v3.1.10 (3.1.10)
)
(/usr/local/texlive/2025/texmf-dist/tex/generic/pgf/basiclayer/pgfcorepatterns.
code.tex
File: pgfcorepatterns.code.tex 2023-01-15 v3.1.10 (3.1.10)
)
(/usr/local/texlive/2025/texmf-dist/tex/generic/pgf/basiclayer/pgfcorerdf.code.
tex
File: pgfcorerdf.code.tex 2023-01-15 v3.1.10 (3.1.10)
)))
(/usr/local/texlive/2025/texmf-dist/tex/generic/pgf/modules/pgfmoduleshapes.cod
e.tex
File: pgfmoduleshapes.code.tex 2023-01-15 v3.1.10 (3.1.10)
\pgfnodeparttextbox=\box63
)
(/usr/local/texlive/2025/texmf-dist/tex/generic/pgf/modules/pgfmoduleplot.code.
tex
File: pgfmoduleplot.code.tex 2023-01-15 v3.1.10 (3.1.10)
)
(/usr/local/texlive/2025/texmf-dist/tex/latex/pgf/compatibility/pgfcomp-version
-0-65.sty
Package: pgfcomp-version-0-65 2023-01-15 v3.1.10 (3.1.10)
\pgf@nodesepstart=\dimen267
\pgf@nodesepend=\dimen268
)
(/usr/local/texlive/2025/texmf-dist/tex/latex/pgf/compatibility/pgfcomp-version
-1-18.sty
Package: pgfcomp-version-1-18 2023-01-15 v3.1.10 (3.1.10)
))
(/usr/local/texlive/2025/texmf-dist/tex/latex/pgf/utilities/pgffor.sty
(/usr/local/texlive/2025/texmf-dist/tex/latex/pgf/utilities/pgfkeys.sty
(/usr/local/texlive/2025/texmf-dist/tex/generic/pgf/utilities/pgfkeys.code.tex))
 (/usr/local/texlive/2025/texmf-dist/tex/latex/pgf/math/pgfmath.sty
(/usr/local/texlive/2025/texmf-dist/tex/generic/pgf/math/pgfmath.code.tex))
(/usr/local/texlive/2025/texmf-dist/tex/generic/pgf/utilities/pgffor.code.tex
Package: pgffor 2023-01-15 v3.1.10 (3.1.10)
\pgffor@iter=\dimen269
\pgffor@skip=\dimen270
\pgffor@stack=\toks42
\pgffor@toks=\toks43
))
(/usr/local/texlive/2025/texmf-dist/tex/generic/pgf/frontendlayer/tikz/tikz.cod
e.tex
Package: tikz 2023-01-15 v3.1.10 (3.1.10)

(/usr/local/texlive/2025/texmf-dist/tex/generic/pgf/libraries/pgflibraryplothan
dlers.code.tex
File: pgflibraryplothandlers.code.tex 2023-01-15 v3.1.10 (3.1.10)
\pgf@plot@mark@count=\count317
\pgfplotmarksize=\dimen271
)
\tikz@lastx=\dimen272
\tikz@lasty=\dimen273
\tikz@lastxsaved=\dimen274
\tikz@lastysaved=\dimen275
\tikz@lastmovetox=\dimen276
\tikz@lastmovetoy=\dimen277
\tikzleveldistance=\dimen278
\tikzsiblingdistance=\dimen279
\tikz@figbox=\box64
\tikz@figbox@bg=\box65
\tikz@tempbox=\box66
\tikz@tempbox@bg=\box67
\tikztreelevel=\count318
\tikznumberofchildren=\count319
\tikznumberofcurrentchild=\count320
\tikz@fig@count=\count321

(/usr/local/texlive/2025/texmf-dist/tex/generic/pgf/modules/pgfmodulematrix.cod
e.tex
File: pgfmodulematrix.code.tex 2023-01-15 v3.1.10 (3.1.10)
\pgfmatrixcurrentrow=\count322
\pgfmatrixcurrentcolumn=\count323
\pgf@matrix@numberofcolumns=\count324
)
\tikz@expandcount=\count325

(/usr/local/texlive/2025/texmf-dist/tex/generic/pgf/frontendlayer/tikz/librarie
s/tikzlibrarytopaths.code.tex
File: tikzlibrarytopaths.code.tex 2023-01-15 v3.1.10 (3.1.10)
)))
(/usr/local/texlive/2025/texmf-dist/tex/generic/pgf/libraries/pgflibraryarrows.
meta.code.tex
File: pgflibraryarrows.meta.code.tex 2023-01-15 v3.1.10 (3.1.10)
\pgfarrowinset=\dimen280
\pgfarrowlength=\dimen281
\pgfarrowwidth=\dimen282
\pgfarrowlinewidth=\dimen283
)
(/usr/local/texlive/2025/texmf-dist/tex/generic/pgf/frontendlayer/tikz/librarie
s/tikzlibrarypositioning.code.tex
File: tikzlibrarypositioning.code.tex 2023-01-15 v3.1.10 (3.1.10)
)
(/usr/local/texlive/2025/texmf-dist/tex/generic/pgf/frontendlayer/tikz/librarie
s/tikzlibraryshapes.geometric.code.tex
File: tikzlibraryshapes.geometric.code.tex 2023-01-15 v3.1.10 (3.1.10)

(/usr/local/texlive/2025/texmf-dist/tex/generic/pgf/libraries/shapes/pgflibrary
shapes.geometric.code.tex
File: pgflibraryshapes.geometric.code.tex 2023-01-15 v3.1.10 (3.1.10)
))
(/usr/local/texlive/2025/texmf-dist/tex/generic/pgf/frontendlayer/tikz/librarie
s/tikzlibrarycalc.code.tex
File: tikzlibrarycalc.code.tex 2023-01-15 v3.1.10 (3.1.10)
)
(/usr/local/texlive/2025/texmf-dist/tex/generic/pgf/frontendlayer/tikz/librarie
s/tikzlibraryfit.code.tex
File: tikzlibraryfit.code.tex 2023-01-15 v3.1.10 (3.1.10)
)
(/usr/local/texlive/2025/texmf-dist/tex/generic/pgf/frontendlayer/tikz/librarie
s/tikzlibrarydecorations.pathreplacing.code.tex
(/usr/local/texlive/2025/texmf-dist/tex/generic/pgf/frontendlayer/tikz/librarie
s/tikzlibrarydecorations.code.tex
(/usr/local/texlive/2025/texmf-dist/tex/generic/pgf/modules/pgfmoduledecoration
s.code.tex
\pgfdecoratedcompleteddistance=\dimen284
\pgfdecoratedremainingdistance=\dimen285
\pgfdecoratedinputsegmentcompleteddistance=\dimen286
\pgfdecoratedinputsegmentremainingdistance=\dimen287
\pgf@decorate@distancetomove=\dimen288
\pgf@decorate@repeatstate=\count326
\pgfdecorationsegmentamplitude=\dimen289
\pgfdecorationsegmentlength=\dimen290
)
\tikz@lib@dec@box=\box68
)
(/usr/local/texlive/2025/texmf-dist/tex/generic/pgf/libraries/decorations/pgfli
brarydecorations.pathreplacing.code.tex))
(/usr/local/texlive/2025/texmf-dist/tex/generic/pgf/frontendlayer/tikz/librarie
s/tikzlibrarydecorations.pathmorphing.code.tex
(/usr/local/texlive/2025/texmf-dist/tex/generic/pgf/libraries/decorations/pgfli
brarydecorations.pathmorphing.code.tex))
(/usr/local/texlive/2025/texmf-dist/tex/latex/tikz-cd/tikz-cd.sty
Package: tikz-cd 2021/05/04 v1.0 Commutative diagrams with TikZ

(/usr/local/texlive/2025/texmf-dist/tex/generic/tikz-cd/tikzlibrarycd.code.tex
(/usr/local/texlive/2025/texmf-dist/tex/generic/pgf/frontendlayer/tikz/librarie
s/tikzlibrarymatrix.code.tex
File: tikzlibrarymatrix.code.tex 2023-01-15 v3.1.10 (3.1.10)
)
(/usr/local/texlive/2025/texmf-dist/tex/generic/pgf/frontendlayer/tikz/librarie
s/tikzlibraryquotes.code.tex
File: tikzlibraryquotes.code.tex 2023-01-15 v3.1.10 (3.1.10)
)))
(/usr/local/texlive/2025/texmf-dist/tex/latex/caption/caption.sty
Package: caption 2023/08/05 v3.6o Customizing captions (AR)

(/usr/local/texlive/2025/texmf-dist/tex/latex/caption/caption3.sty
Package: caption3 2023/07/31 v2.4d caption3 kernel (AR)
\caption@tempdima=\dimen291
\captionmargin=\dimen292
\caption@leftmargin=\dimen293
\caption@rightmargin=\dimen294
\caption@width=\dimen295
\caption@indent=\dimen296
\caption@parindent=\dimen297
\caption@hangindent=\dimen298
Package caption Info: Standard document class detected.
)
\c@caption@flags=\count327
\c@continuedfloat=\count328
)
(/usr/local/texlive/2025/texmf-dist/tex/latex/titlesec/titlesec.sty
Package: titlesec 2025/01/04 v2.17 Sectioning titles
\ttl@box=\box69
\beforetitleunit=\skip62
\aftertitleunit=\skip63
\ttl@plus=\dimen299
\ttl@minus=\dimen300
\ttl@toksa=\toks44
\titlewidth=\dimen301
\titlewidthlast=\dimen302
\titlewidthfirst=\dimen303
)
(/usr/local/texlive/2025/texmf-dist/tex/latex/titling/titling.sty
Package: titling 2009/09/04 v2.1d maketitle typesetting
\thanksmarkwidth=\skip64
\thanksmargin=\skip65
\droptitle=\skip66
)
(/usr/local/texlive/2025/texmf-dist/tex/latex/footmisc/footmisc.sty
Package: footmisc 2024/12/24 v6.0g a miscellany of footnote facilities
\FN@temptoken=\toks45
\footnotemargin=\dimen304
\@outputbox@depth=\dimen305
Package footmisc Info: Declaring symbol style bringhurst on input line 699.
Package footmisc Info: Declaring symbol style chicago on input line 707.
Package footmisc Info: Declaring symbol style wiley on input line 716.
Package footmisc Info: Declaring symbol style lamport-robust on input line 727.

Package footmisc Info: Declaring symbol style lamport* on input line 747.
Package footmisc Info: Declaring symbol style lamport*-robust on input line 768
.
)
(/usr/local/texlive/2025/texmf-dist/tex/latex/enumitem/enumitem.sty
Package: enumitem 2025/02/06 v3.11 Customized lists
\labelindent=\skip67
\enit@outerparindent=\dimen306
\enit@toks=\toks46
\enit@inbox=\box70
\enit@count@id=\count329
\enitdp@description=\count330
)
(/usr/local/texlive/2025/texmf-dist/tex/latex/hyperref/hyperref.sty
Package: hyperref 2024-11-05 v7.01l 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.
\pdftexcmds@toks=\toks47
))
(/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.s
ty
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=\count331
)
(/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=\dimen307
\Hy@linkcounter=\count332
\Hy@pagecounter=\count333

(/usr/local/texlive/2025/texmf-dist/tex/latex/hyperref/pd1enc.def
File: pd1enc.def 2024-11-05 v7.01l Hyperref: PDFDocEncoding definition (HO)
)
(/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=\count334

(/usr/local/texlive/2025/texmf-dist/tex/latex/hyperref/puenc.def
File: puenc.def 2024-11-05 v7.01l Hyperref: PDF Unicode definition (HO)
)
Package hyperref Info: Option `colorlinks' set `true' on input line 4040.
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=\count335

(/usr/local/texlive/2025/texmf-dist/tex/latex/url/url.sty
\Urlmuskip=\muskip19
Package: url 2013/09/16  ver 3.4  Verb mode for urls, etc.
)
LaTeX Info: Redefining \url on input line 4763.
\XeTeXLinkMargin=\dimen308

(/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=\count336
\Field@Width=\dimen309
\Fld@charsize=\dimen310
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 ON on input line 6060.
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=\count337
\c@Item=\count338
\c@Hfootnote=\count339
)
Package hyperref Info: Driver (autodetected): hluatex.

(/usr/local/texlive/2025/texmf-dist/tex/latex/hyperref/hluatex.def
File: hluatex.def 2024-11-05 v7.01l Hyperref driver for luaTeX

(/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 pac
kage
with kernel methods
)
\Fld@listcount=\count340
\c@bookmark@seq@number=\count341

(/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/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
85.
)
\Hy@SectionHShift=\skip68
) (/usr/local/texlive/2025/texmf-dist/tex/latex/cleveref/cleveref.sty
Package: cleveref 2018/03/27 v0.21.4 Intelligent cross-referencing
Package cleveref Info: `hyperref' support loaded on input line 2370.
LaTeX Info: Redefining \cref on input line 2370.
LaTeX Info: Redefining \Cref on input line 2370.
LaTeX Info: Redefining \crefrange on input line 2370.
LaTeX Info: Redefining \Crefrange on input line 2370.
LaTeX Info: Redefining \cpageref on input line 2370.
LaTeX Info: Redefining \Cpageref on input line 2370.
LaTeX Info: Redefining \cpagerefrange on input line 2370.
LaTeX Info: Redefining \Cpagerefrange on input line 2370.
LaTeX Info: Redefining \labelcref on input line 2370.
LaTeX Info: Redefining \labelcpageref on input line 2370.
Package cleveref Info: `amsthm' support loaded on input line 3026.
Package cleveref Info: always capitalise cross-reference names on input line 78
25.
Package cleveref Info: always capitalise cross-reference names on input line 78
52.
Package cleveref Info: no abbreviation of names on input line 7852.
)
(/usr/local/texlive/2025/texmf-dist/tex/latex/tcolorbox/tcolorbox.sty
Package: tcolorbox 2024/10/22 version 6.4.1 text color boxes

(/usr/local/texlive/2025/texmf-dist/tex/latex/tools/verbatim.sty
Package: verbatim 2024-01-22 v1.5x LaTeX2e package for verbatim enhancements
\every@verbatim=\toks48
\verbatim@line=\toks49
\verbatim@in@stream=\read3
)
(/usr/local/texlive/2025/texmf-dist/tex/latex/environ/environ.sty
Package: environ 2014/05/04 v0.3 A new way to define environments

(/usr/local/texlive/2025/texmf-dist/tex/latex/trimspaces/trimspaces.sty
Package: trimspaces 2009/09/17 v1.1 Trim spaces around a token list
))
\tcb@titlebox=\box71
\tcb@upperbox=\box72
\tcb@lowerbox=\box73
\tcb@phantombox=\box74
\c@tcbbreakpart=\count342
\c@tcblayer=\count343
\c@tcolorbox@number=\count344
\l__tcobox_tmpa_box=\box75
\l__tcobox_tmpa_dim=\dimen311
\tcb@temp=\box76
\tcb@temp=\box77
\tcb@temp=\box78
\tcb@temp=\box79

(/usr/local/texlive/2025/texmf-dist/tex/latex/tcolorbox/tcbraster.code.tex
Library (tcolorbox): 'tcbraster.code.tex' version '6.4.1'
\c@tcbrastercolumn=\count345
\c@tcbrasterrow=\count346
\c@tcbrasternum=\count347
\c@tcbraster=\count348
) (/usr/local/texlive/2025/texmf-dist/tex/latex/tcolorbox/tcbskins.code.tex
Library (tcolorbox): 'tcbskins.code.tex' version '6.4.1'
(/usr/local/texlive/2025/texmf-dist/tex/latex/tikzfill/tikzfill.image.sty
Package: tikzfill.image 2023/08/08 v1.0.1 Image filling library for TikZ

(/usr/local/texlive/2025/texmf-dist/tex/latex/tikzfill/tikzfill-common.sty
Package: tikzfill-common 2023/08/08 v1.0.1 Auxiliary code for tikzfill
)
(/usr/local/texlive/2025/texmf-dist/tex/latex/tikzfill/tikzlibraryfill.image.co
de.tex
File: tikzlibraryfill.image.code.tex 2023/08/08 v1.0.1 Image filling library
\l__tikzfill_img_box=\box80
))
(/usr/local/texlive/2025/texmf-dist/tex/latex/tcolorbox/tcbskinsjigsaw.code.tex
Library (tcolorbox): 'tcbskinsjigsaw.code.tex' version '6.4.1'
))
(/usr/local/texlive/2025/texmf-dist/tex/latex/tcolorbox/tcbbreakable.code.tex
Library (tcolorbox): 'tcbbreakable.code.tex' version '6.4.1'
(/usr/local/texlive/2025/texmf-dist/tex/latex/pdfcol/pdfcol.sty
Package: pdfcol 2022-09-21 v1.7 Handle new color stacks for pdfTeX (HO)
)
Package pdfcol Info: New color stack `tcb@breakable' = 1 on input line 23.
\tcb@testbox=\box81
\tcb@totalupperbox=\box82
\tcb@totallowerbox=\box83

(/usr/local/texlive/2025/texmf-dist/tex/generic/iftex/ifluatex.sty
Package: ifluatex 2019/10/25 v1.5 ifluatex legacy package. Use iftex instead.
))
(/usr/local/texlive/2025/texmf-dist/tex/latex/tcolorbox/tcbhooks.code.tex
Library (tcolorbox): 'tcbhooks.code.tex' version '6.4.1'
) (/usr/local/texlive/2025/texmf-dist/tex/latex/tcolorbox/tcbtheorems.code.tex
Library (tcolorbox): 'tcbtheorems.code.tex' version '6.4.1'
) (/usr/local/texlive/2025/texmf-dist/tex/latex/tcolorbox/tcbfitting.code.tex
Library (tcolorbox): 'tcbfitting.code.tex' version '6.4.1'
\tcbfitdim=\dimen312
\tcb@lowerfitdim=\dimen313
\tcb@upperfitdim=\dimen314
\tcb@cur@hbadness=\count349
)
(/usr/local/texlive/2025/texmf-dist/tex/latex/tcolorbox/tcblistingsutf8.code.te
x
Library (tcolorbox): 'tcblistingsutf8.code.tex' version '6.4.1'
(/usr/local/texlive/2025/texmf-dist/tex/latex/tcolorbox/tcblistings.code.tex
Library (tcolorbox): 'tcblistings.code.tex' version '6.4.1'
(/usr/local/texlive/2025/texmf-dist/tex/latex/listings/listings.sty
\lst@mode=\count350
\lst@gtempboxa=\box84
\lst@token=\toks50
\lst@length=\count351
\lst@currlwidth=\dimen315
\lst@column=\count352
\lst@pos=\count353
\lst@lostspace=\dimen316
\lst@width=\dimen317
\lst@newlines=\count354
\lst@lineno=\count355
\lst@maxwidth=\dimen318

(/usr/local/texlive/2025/texmf-dist/tex/latex/listings/lstpatch.sty
File: lstpatch.sty 2024/09/23 1.10c (Carsten Heinz)
)
(/usr/local/texlive/2025/texmf-dist/tex/latex/listings/lstmisc.sty
File: lstmisc.sty 2024/09/23 1.10c (Carsten Heinz)
\c@lstnumber=\count356
\lst@skipnumbers=\count357
\lst@framebox=\box85
)
(/usr/local/texlive/2025/texmf-dist/tex/latex/listings/listings.cfg
File: listings.cfg 2024/09/23 1.10c listings configuration
))
Package: listings 2024/09/23 1.10c (Carsten Heinz)

(/usr/local/texlive/2025/texmf-dist/tex/latex/tcolorbox/tcblistingscore.code.te
x
Library (tcolorbox): 'tcblistingscore.code.tex' version '6.4.1'
(/usr/local/texlive/2025/texmf-dist/tex/latex/tcolorbox/tcbprocessing.code.tex
Library (tcolorbox): 'tcbprocessing.code.tex' version '6.4.1'
)
\c@tcblisting=\count358
))
Package tcolorbox Info: Library `listingsutf8' is compatible with pdftex only. 
Library `listings` is loaded instead. on input line 29.
)
(/usr/local/texlive/2025/texmf-dist/tex/latex/tcolorbox/tcbexternal.code.tex
Library (tcolorbox): 'tcbexternal.code.tex' version '6.4.1'
) (/usr/local/texlive/2025/texmf-dist/tex/latex/tcolorbox/tcbmagazine.code.tex
Library (tcolorbox): 'tcbmagazine.code.tex' version '6.4.1'
) (/usr/local/texlive/2025/texmf-dist/tex/latex/tcolorbox/tcbvignette.code.tex
Library (tcolorbox): 'tcbvignette.code.tex' version '6.4.1'

(/usr/local/texlive/2025/texmf-dist/tex/generic/pgf/frontendlayer/tikz/librarie
s/tikzlibraryfadings.code.tex
File: tikzlibraryfadings.code.tex 2023-01-15 v3.1.10 (3.1.10)

(/usr/local/texlive/2025/texmf-dist/tex/generic/pgf/libraries/pgflibraryfadings
.code.tex
File: pgflibraryfadings.code.tex 2023-01-15 v3.1.10 (3.1.10)
)))
(/usr/local/texlive/2025/texmf-dist/tex/latex/tcolorbox/tcbposter.code.tex
Library (tcolorbox): 'tcbposter.code.tex' version '6.4.1'
))
\c@tcb@cnt@definition=\count359
 (/usr/local/texlive/2025/texmf-dist/tex/latex/mdframed/mdframed.sty
Package: mdframed 2013/07/01 1.9b: mdframed

(/usr/local/texlive/2025/texmf-dist/tex/latex/zref/zref-abspage.sty
Package: zref-abspage 2023-09-14 v2.35 Module abspage for zref (HO)

(/usr/local/texlive/2025/texmf-dist/tex/latex/zref/zref-base.sty
Package: zref-base 2023-09-14 v2.35 Module base for zref (HO)

(/usr/local/texlive/2025/texmf-dist/tex/generic/etexcmds/etexcmds.sty
Package: etexcmds 2019/12/15 v1.7 Avoid name clashes with e-TeX commands (HO)
)
(/usr/local/texlive/2025/texmf-dist/tex/latex/auxhook/auxhook.sty
Package: auxhook 2019-12-17 v1.6 Hooks for auxiliary files (HO)
)
Package zref Info: New property list: main on input line 767.
Package zref Info: New property: default on input line 768.
Package zref Info: New property: page on input line 769.
)
\c@abspage=\count360
Package zref Info: New property: abspage on input line 67.
)
(/usr/local/texlive/2025/texmf-dist/tex/latex/needspace/needspace.sty
Package: needspace 2010/09/12 v1.3d reserve vertical space
)
\mdf@templength=\skip69
\c@mdf@globalstyle@cnt=\count361
\mdf@skipabove@length=\skip70
\mdf@skipbelow@length=\skip71
\mdf@leftmargin@length=\skip72
\mdf@rightmargin@length=\skip73
\mdf@innerleftmargin@length=\skip74
\mdf@innerrightmargin@length=\skip75
\mdf@innertopmargin@length=\skip76
\mdf@innerbottommargin@length=\skip77
\mdf@splittopskip@length=\skip78
\mdf@splitbottomskip@length=\skip79
\mdf@outermargin@length=\skip80
\mdf@innermargin@length=\skip81
\mdf@linewidth@length=\skip82
\mdf@innerlinewidth@length=\skip83
\mdf@middlelinewidth@length=\skip84
\mdf@outerlinewidth@length=\skip85
\mdf@roundcorner@length=\skip86
\mdf@footenotedistance@length=\skip87
\mdf@userdefinedwidth@length=\skip88
\mdf@needspace@length=\skip89
\mdf@frametitleaboveskip@length=\skip90
\mdf@frametitlebelowskip@length=\skip91
\mdf@frametitlerulewidth@length=\skip92
\mdf@frametitleleftmargin@length=\skip93
\mdf@frametitlerightmargin@length=\skip94
\mdf@shadowsize@length=\skip95
\mdf@extratopheight@length=\skip96
\mdf@subtitleabovelinewidth@length=\skip97
\mdf@subtitlebelowlinewidth@length=\skip98
\mdf@subtitleaboveskip@length=\skip99
\mdf@subtitlebelowskip@length=\skip100
\mdf@subtitleinneraboveskip@length=\skip101
\mdf@subtitleinnerbelowskip@length=\skip102
\mdf@subsubtitleabovelinewidth@length=\skip103
\mdf@subsubtitlebelowlinewidth@length=\skip104
\mdf@subsubtitleaboveskip@length=\skip105
\mdf@subsubtitlebelowskip@length=\skip106
\mdf@subsubtitleinneraboveskip@length=\skip107
\mdf@subsubtitleinnerbelowskip@length=\skip108

(/usr/local/texlive/2025/texmf-dist/tex/latex/mdframed/md-frame-0.mdf
File: md-frame-0.mdf 2013/07/01\ 1.9b: md-frame-0
)
\mdf@frametitlebox=\box86
\mdf@footnotebox=\box87
\mdf@splitbox@one=\box88
\mdf@splitbox@two=\box89
\mdf@splitbox@save=\box90
\mdfsplitboxwidth=\skip109
\mdfsplitboxtotalwidth=\skip110
\mdfsplitboxheight=\skip111
\mdfsplitboxdepth=\skip112
\mdfsplitboxtotalheight=\skip113
\mdfframetitleboxwidth=\skip114
\mdfframetitleboxtotalwidth=\skip115
\mdfframetitleboxheight=\skip116
\mdfframetitleboxdepth=\skip117
\mdfframetitleboxtotalheight=\skip118
\mdffootnoteboxwidth=\skip119
\mdffootnoteboxtotalwidth=\skip120
\mdffootnoteboxheight=\skip121
\mdffootnoteboxdepth=\skip122
\mdffootnoteboxtotalheight=\skip123
\mdftotallinewidth=\skip124
\mdfboundingboxwidth=\skip125
\mdfboundingboxtotalwidth=\skip126
\mdfboundingboxheight=\skip127
\mdfboundingboxdepth=\skip128
\mdfboundingboxtotalheight=\skip129
\mdf@freevspace@length=\skip130
\mdf@horizontalwidthofbox@length=\skip131
\mdf@verticalmarginwhole@length=\skip132
\mdf@horizontalspaceofbox=\skip133
\mdfsubtitleheight=\skip134
\mdfsubsubtitleheight=\skip135
\c@mdfcountframes=\count362

****** mdframed patching \endmdf@trivlist

****** -- success******

\mdf@envdepth=\count363
\c@mdf@env@i=\count364
\c@mdf@env@ii=\count365
\c@mdf@zref@counter=\count366
Package zref Info: New property: mdf@pagevalue on input line 895.
)
\c@example=\count367
\c@remark=\count368
\c@note=\count369

(/usr/local/texlive/2025/texmf-dist/tex/latex/fancyhdr/fancyhdr.sty
Package: fancyhdr 2025/02/07 v5.2 Extensive control of page headers and footers

\f@nch@headwidth=\skip136
\f@nch@offset@elh=\skip137
\f@nch@offset@erh=\skip138
\f@nch@offset@olh=\skip139
\f@nch@offset@orh=\skip140
\f@nch@offset@elf=\skip141
\f@nch@offset@erf=\skip142
\f@nch@offset@olf=\skip143
\f@nch@offset@orf=\skip144
\f@nch@height=\skip145
\f@nch@footalignment=\skip146
\f@nch@widthL=\skip147
\f@nch@widthC=\skip148
\f@nch@widthR=\skip149
\@temptokenb=\toks51
))
(./check_07.aux)
\openout1 = check_07.aux

LaTeX Font Info:    Checking defaults for OML/cmm/m/it on input line 3.
LaTeX Font Info:    ... okay on input line 3.
LaTeX Font Info:    Checking defaults for OMS/cmsy/m/n on input line 3.
LaTeX Font Info:    ... okay on input line 3.
LaTeX Font Info:    Checking defaults for OT1/cmr/m/n on input line 3.
LaTeX Font Info:    ... okay on input line 3.
LaTeX Font Info:    Checking defaults for T1/cmr/m/n on input line 3.
LaTeX Font Info:    ... okay on input line 3.
LaTeX Font Info:    Checking defaults for TS1/cmr/m/n on input line 3.
LaTeX Font Info:    ... okay on input line 3.
LaTeX Font Info:    Checking defaults for TU/lmr/m/n on input line 3.
LaTeX Font Info:    ... okay on input line 3.
LaTeX Font Info:    Checking defaults for OMX/cmex/m/n on input line 3.
LaTeX Font Info:    ... okay on input line 3.
LaTeX Font Info:    Checking defaults for U/cmr/m/n on input line 3.
LaTeX Font Info:    ... okay on input line 3.
LaTeX Font Info:    Checking defaults for PD1/pdf/m/n on input line 3.
LaTeX Font Info:    ... okay on input line 3.
LaTeX Font Info:    Checking defaults for PU/pdf/m/n on input line 3.
LaTeX Font Info:    ... okay on input line 3.

*geometry* driver: auto-detecting
*geometry* detected driver: luatex
*geometry* verbose mode - [ preamble ] result:
* driver: luatex
* paper: a4paper
* layout: <same size as paper>
* layoutoffset:(h,v)=(0.0pt,0.0pt)
* modes: 
* h-part:(L,W,R)=(71.13188pt, 455.24411pt, 71.13188pt)
* v-part:(T,H,B)=(73.97733pt, 697.0922pt, 73.97733pt)
* \paperwidth=597.50787pt
* \paperheight=845.04684pt
* \textwidth=455.24411pt
* \textheight=697.0922pt
* \oddsidemargin=-1.1381pt
* \evensidemargin=-1.1381pt
* \topmargin=-37.29266pt
* \headheight=14.0pt
* \headsep=25.0pt
* \topskip=11.0pt
* \footskip=30.0pt
* \marginparwidth=50.0pt
* \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)

LaTeX Info: Redefining \microtypecontext on input line 3.
Package microtype Info: Applying patch `item' on input line 3.
Package microtype Info: Applying patch `toc' on input line 3.
Package microtype Info: Applying patch `eqnum' on input line 3.
Package microtype Info: Applying patch `footnote' on input line 3.
Package microtype Info: Applying patch `verbatim' on input line 3.
LaTeX Info: Redefining \microtypesetup on input line 3.
Package microtype Info: Generating PDF output.
Package microtype Info: Character protrusion enabled (level 2).
Package microtype Info: Using default protrusion set `alltext'.
Package microtype Info: Automatic font expansion enabled (level 2),
(microtype)             stretch: 20, shrink: 20, step: 1, non-selected.
Package microtype Info: Using default expansion set `alltext-nott'.
LaTeX Info: Redefining \showhyphens on input line 3.
Package microtype Info: No adjustment of tracking.
Package microtype Info: No adjustment of spacing.
Package microtype Info: No adjustment of kerning.
Package microtype Info: Loading generic protrusion settings for font family
(microtype)             `LucidaBright' (encoding: TU).
(microtype)             For optimal results, create family-specific settings.
(microtype)             See the microtype manual for details.

Package microtype Warning: Unknown slot number of character
(microtype)                `\k A'
(microtype)                in font encoding `TU' in inheritance list
(microtype)                `microtype.cfg/411(protrusion)'.


Package microtype Warning: Unknown slot number of character
(microtype)                `\u A'
(microtype)                in font encoding `TU' in inheritance list
(microtype)                `microtype.cfg/411(protrusion)'.


Package microtype Warning: Unknown slot number of character
(microtype)                `\k a'
(microtype)                in font encoding `TU' in inheritance list
(microtype)                `microtype.cfg/411(protrusion)'.


Package microtype Warning: Unknown slot number of character
(microtype)                `\u a'
(microtype)                in font encoding `TU' in inheritance list
(microtype)                `microtype.cfg/411(protrusion)'.


Package microtype Warning: Unknown slot number of character
(microtype)                `\'C'
(microtype)                in font encoding `TU' in inheritance list
(microtype)                `microtype.cfg/411(protrusion)'.


Package microtype Warning: Unknown slot number of character
(microtype)                `\v C'
(microtype)                in font encoding `TU' in inheritance list
(microtype)                `microtype.cfg/411(protrusion)'.


Package microtype Warning: Unknown slot number of character
(microtype)                `\'c'
(microtype)                in font encoding `TU' in inheritance list
(microtype)                `microtype.cfg/411(protrusion)'.


Package microtype Warning: Unknown slot number of character
(microtype)                `\v c'
(microtype)                in font encoding `TU' in inheritance list
(microtype)                `microtype.cfg/411(protrusion)'.


Package microtype Warning: Unknown slot number of character
(microtype)                `\v D'
(microtype)                in font encoding `TU' in inheritance list
(microtype)                `microtype.cfg/411(protrusion)'.


Package microtype Warning: Unknown slot number of character
(microtype)                `\v d'
(microtype)                in font encoding `TU' in inheritance list
(microtype)                `microtype.cfg/411(protrusion)'.


Package microtype Warning: Unknown slot number of character
(microtype)                `\k E'
(microtype)                in font encoding `TU' in inheritance list
(microtype)                `microtype.cfg/411(protrusion)'.


Package microtype Warning: Unknown slot number of character
(microtype)                `\v E'
(microtype)                in font encoding `TU' in inheritance list
(microtype)                `microtype.cfg/411(protrusion)'.


Package microtype Warning: Unknown slot number of character
(microtype)                `\k e'
(microtype)                in font encoding `TU' in inheritance list
(microtype)                `microtype.cfg/411(protrusion)'.


Package microtype Warning: Unknown slot number of character
(microtype)                `\v e'
(microtype)                in font encoding `TU' in inheritance list
(microtype)                `microtype.cfg/411(protrusion)'.


Package microtype Warning: Unknown slot number of character
(microtype)                `\u G'
(microtype)                in font encoding `TU' in inheritance list
(microtype)                `microtype.cfg/411(protrusion)'.


Package microtype Warning: Unknown slot number of character
(microtype)                `\u g'
(microtype)                in font encoding `TU' in inheritance list
(microtype)                `microtype.cfg/411(protrusion)'.


Package microtype Warning: Unknown slot number of character
(microtype)                `\.I'
(microtype)                in font encoding `TU' in inheritance list
(microtype)                `microtype.cfg/411(protrusion)'.


Package microtype Warning: Unknown slot number of character
(microtype)                `\'L'
(microtype)                in font encoding `TU' in inheritance list
(microtype)                `microtype.cfg/411(protrusion)'.


Package microtype Warning: Unknown slot number of character
(microtype)                `\v L'
(microtype)                in font encoding `TU' in inheritance list
(microtype)                `microtype.cfg/411(protrusion)'.


Package microtype Warning: Unknown slot number of character
(microtype)                `\'l'
(microtype)                in font encoding `TU' in inheritance list
(microtype)                `microtype.cfg/411(protrusion)'.


Package microtype Warning: Unknown slot number of character
(microtype)                `\v l'
(microtype)                in font encoding `TU' in inheritance list
(microtype)                `microtype.cfg/411(protrusion)'.


Package microtype Warning: Unknown slot number of character
(microtype)                `\'N'
(microtype)                in font encoding `TU' in inheritance list
(microtype)                `microtype.cfg/411(protrusion)'.


Package microtype Warning: Unknown slot number of character
(microtype)                `\v N'
(microtype)                in font encoding `TU' in inheritance list
(microtype)                `microtype.cfg/411(protrusion)'.


Package microtype Warning: Unknown slot number of character
(microtype)                `\'n'
(microtype)                in font encoding `TU' in inheritance list
(microtype)                `microtype.cfg/411(protrusion)'.


Package microtype Warning: Unknown slot number of character
(microtype)                `\v n'
(microtype)                in font encoding `TU' in inheritance list
(microtype)                `microtype.cfg/411(protrusion)'.


Package microtype Warning: Unknown slot number of character
(microtype)                `\H O'
(microtype)                in font encoding `TU' in inheritance list
(microtype)                `microtype.cfg/411(protrusion)'.


Package microtype Warning: Unknown slot number of character
(microtype)                `\H o'
(microtype)                in font encoding `TU' in inheritance list
(microtype)                `microtype.cfg/411(protrusion)'.


Package microtype Warning: Unknown slot number of character
(microtype)                `\'R'
(microtype)                in font encoding `TU' in inheritance list
(microtype)                `microtype.cfg/411(protrusion)'.


Package microtype Warning: Unknown slot number of character
(microtype)                `\v R'
(microtype)                in font encoding `TU' in inheritance list
(microtype)                `microtype.cfg/411(protrusion)'.


Package microtype Warning: Unknown slot number of character
(microtype)                `\'r'
(microtype)                in font encoding `TU' in inheritance list
(microtype)                `microtype.cfg/411(protrusion)'.


Package microtype Warning: Unknown slot number of character
(microtype)                `\v r'
(microtype)                in font encoding `TU' in inheritance list
(microtype)                `microtype.cfg/411(protrusion)'.


Package microtype Warning: Unknown slot number of character
(microtype)                `\'S'
(microtype)                in font encoding `TU' in inheritance list
(microtype)                `microtype.cfg/411(protrusion)'.


Package microtype Warning: Unknown slot number of character
(microtype)                `\c S'
(microtype)                in font encoding `TU' in inheritance list
(microtype)                `microtype.cfg/411(protrusion)'.


Package microtype Warning: Unknown slot number of character
(microtype)                `\'s'
(microtype)                in font encoding `TU' in inheritance list
(microtype)                `microtype.cfg/411(protrusion)'.


Package microtype Warning: Unknown slot number of character
(microtype)                `\c s'
(microtype)                in font encoding `TU' in inheritance list
(microtype)                `microtype.cfg/411(protrusion)'.


Package microtype Warning: Unknown slot number of character
(microtype)                `\c T'
(microtype)                in font encoding `TU' in inheritance list
(microtype)                `microtype.cfg/411(protrusion)'.


Package microtype Warning: Unknown slot number of character
(microtype)                `\v T'
(microtype)                in font encoding `TU' in inheritance list
(microtype)                `microtype.cfg/411(protrusion)'.


Package microtype Warning: Unknown slot number of character
(microtype)                `\c t'
(microtype)                in font encoding `TU' in inheritance list
(microtype)                `microtype.cfg/411(protrusion)'.


Package microtype Warning: Unknown slot number of character
(microtype)                `\v t'
(microtype)                in font encoding `TU' in inheritance list
(microtype)                `microtype.cfg/411(protrusion)'.


Package microtype Warning: Unknown slot number of character
(microtype)                `\H U'
(microtype)                in font encoding `TU' in inheritance list
(microtype)                `microtype.cfg/411(protrusion)'.


Package microtype Warning: Unknown slot number of character
(microtype)                `\r U'
(microtype)                in font encoding `TU' in inheritance list
(microtype)                `microtype.cfg/411(protrusion)'.


Package microtype Warning: Unknown slot number of character
(microtype)                `\H u'
(microtype)                in font encoding `TU' in inheritance list
(microtype)                `microtype.cfg/411(protrusion)'.


Package microtype Warning: Unknown slot number of character
(microtype)                `\r u'
(microtype)                in font encoding `TU' in inheritance list
(microtype)                `microtype.cfg/411(protrusion)'.


Package microtype Warning: Unknown slot number of character
(microtype)                `\'Z'
(microtype)                in font encoding `TU' in inheritance list
(microtype)                `microtype.cfg/411(protrusion)'.


Package microtype Warning: Unknown slot number of character
(microtype)                `\.Z'
(microtype)                in font encoding `TU' in inheritance list
(microtype)                `microtype.cfg/411(protrusion)'.


Package microtype Warning: Unknown slot number of character
(microtype)                `\v Z'
(microtype)                in font encoding `TU' in inheritance list
(microtype)                `microtype.cfg/411(protrusion)'.


Package microtype Warning: Unknown slot number of character
(microtype)                `\'z'
(microtype)                in font encoding `TU' in inheritance list
(microtype)                `microtype.cfg/411(protrusion)'.


Package microtype Warning: Unknown slot number of character
(microtype)                `\.z'
(microtype)                in font encoding `TU' in inheritance list
(microtype)                `microtype.cfg/411(protrusion)'.


Package microtype Warning: Unknown slot number of character
(microtype)                `\v z'
(microtype)                in font encoding `TU' in inheritance list
(microtype)                `microtype.cfg/411(protrusion)'.

LaTeX Font Info:    Overwriting math alphabet `\mathrm' in version `normal'
(Font)                  TU/LatinModernMath(1)/m/n --> TU/LucidaBright(0)/m/n on
 input line 3.
LaTeX Font Info:    Overwriting math alphabet `\mathit' in version `normal'
(Font)                  OT1/cmr/m/it --> TU/LucidaBright(0)/m/it on input line 
3.
LaTeX Font Info:    Overwriting math alphabet `\mathbf' in version `normal'
(Font)                  OT1/cmr/bx/n --> TU/LucidaBright(0)/b/n on input line 3
.
LaTeX Font Info:    Overwriting math alphabet `\mathsf' in version `normal'
(Font)                  OT1/cmss/m/n --> TU/Cabin(0)/m/n on input line 3.
LaTeX Font Info:    Overwriting math alphabet `\mathsf' in version `bold'
(Font)                  OT1/cmss/bx/n --> TU/Cabin(0)/b/n on input line 3.
LaTeX Font Info:    Overwriting math alphabet `\mathtt' in version `normal'
(Font)                  OT1/cmtt/m/n --> TU/Inconsolata(0)/m/n on input line 3.

LaTeX Font Info:    Overwriting math alphabet `\mathtt' in version `bold'
(Font)                  OT1/cmtt/m/n --> TU/Inconsolata(0)/b/n on input line 3.


Package unicode-math Warning: Using \overbracket and \underbracket from
(unicode-math)                `mathtools' package.
(unicode-math)                 
(unicode-math)                 Use \Uoverbracket and \Uunderbracket for
(unicode-math)                original `unicode-math' definition.


Package unicode-math Warning: I'm going to overwrite the following commands
(unicode-math)                from the `mathtools' package: 
(unicode-math)                 
(unicode-math)                     \dblcolon, \coloneqq, \Coloneqq, \eqqcolon.
(unicode-math)                
(unicode-math)                 
(unicode-math)                 Note that since I won't overwrite the other
(unicode-math)                colon-like commands, using them will lead to
(unicode-math)                inconsistencies.

(/usr/local/texlive/2025/texmf-dist/tex/context/base/mkii/supp-pdf.mkii
[Loading MPS to PDF converter (version 2006.09.02).]
\scratchcounter=\count370
\scratchdimen=\dimen319
\scratchbox=\box91
\nofMPsegments=\count371
\nofMParguments=\count372
\everyMPshowfont=\toks52
\MPscratchCnt=\count373
\MPscratchDim=\dimen320
\MPnumerator=\count374
\makeMPintoPDFobject=\count375
\everyMPtoPDFconversion=\toks53
) (/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 4
85.

(/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 Liv
e
))
Package caption Info: Begin \AtBeginDocument code.
Package caption Info: hyperref package is loaded.
Package caption Info: listings package is loaded.
Package caption Info: End \AtBeginDocument code.
Package hyperref Info: Link coloring ON on input line 3.

(./check_07.out) (./check_07.out)
\@outlinefile=\write4

\openout4 = check_07.out
\c@lstlisting=\count376
 (../lectures/lecture07.tex
LaTeX Font Info:    Font shape `TU/Cabin(0)/m/n' will be
(Font)              scaled to size 10.40245pt on input line 6.
Package microtype Info: Loading generic protrusion settings for font family
(microtype)             `Cabin' (encoding: TU).
(microtype)             For optimal results, create family-specific settings.
(microtype)             See the microtype manual for details.
LaTeX Font Info:    Font shape `TU/Cabin(0)/m/n' will be
(Font)              scaled to size 13.67995pt on input line 6.
LaTeX Font Info:    Font shape `TU/Cabin(0)/b/n' will be
(Font)              scaled to size 13.67995pt on input line 6.
Package microtype Info: Loading generic protrusion settings for font family
(microtype)             `LatinModernMath' (encoding: TU).
(microtype)             For optimal results, create family-specific settings.
(microtype)             See the microtype manual for details.

(/usr/local/texlive/2025/texmf-dist/tex/latex/microtype/mt-msa.cfg
File: mt-msa.cfg 2006/02/04 v1.1 microtype config. file: AMS symbols (a) (RS)
)
(/usr/local/texlive/2025/texmf-dist/tex/latex/microtype/mt-msb.cfg
File: mt-msb.cfg 2005/06/01 v1.0 microtype config. file: AMS symbols (b) (RS)
)
(/usr/local/texlive/2025/texmf-dist/tex/latex/microtype/mt-cmr.cfg
File: mt-cmr.cfg 2013/05/19 v2.2 microtype config. file: Computer Modern Roman 
(RS)
)
Package microtype Info: Loading generic protrusion settings for font family
(microtype)             `XITSMath' (encoding: TU).
(microtype)             For optimal results, create family-specific settings.
(microtype)             See the microtype manual for details.
Package microtype Info: Loading generic protrusion settings for font family
(microtype)             `TeXGyrePagellaMath' (encoding: TU).
(microtype)             For optimal results, create family-specific settings.
(microtype)             See the microtype manual for details.
LaTeX Font Info:    Font shape `TU/Cabin(0)/m/n' will be
(Font)              scaled to size 11.39996pt on input line 19.
LaTeX Font Info:    Font shape `TU/Cabin(0)/b/n' will be
(Font)              scaled to size 11.39996pt on input line 19.
LaTeX Font Info:    Font shape `TU/Cabin(0)/b/n' will be
(Font)              scaled to size 10.40245pt on input line 21.


LaTeX Font Info:    Font shape `TU/Cabin(0)/m/n' will be
(Font)              scaled to size 9.49997pt on input line 82.
[1{/usr/local/texlive/2025/texmf-var/fonts/map/pdftex/updmap/pdftex.map}

]
LaTeX Font Info:    Font shape `TU/XITSMath(0)/m/n' will be
(Font)              scaled to size 11.64642pt on input line 88.
LaTeX Font Info:    Font shape `TU/XITSMath(0)/m/n' will be
(Font)              scaled to size 8.1525pt on input line 88.
LaTeX Font Info:    Font shape `TU/XITSMath(0)/m/n' will be
(Font)              scaled to size 5.82321pt on input line 88.
LaTeX Font Info:    Font shape `TU/Cabin(0)/b/n' will be
(Font)              scaled to size 9.49997pt on input line 105.
LaTeX Font Info:    Font shape `TU/XITSMath(0)/m/n' will be
(Font)              scaled to size 13.97571pt on input line 130.
LaTeX Font Info:    Font shape `TU/XITSMath(0)/m/n' will be
(Font)              scaled to size 9.31714pt on input line 130.
LaTeX Font Info:    Font shape `TU/XITSMath(0)/m/n' will be
(Font)              scaled to size 6.98785pt on input line 130.


[2]

[3]

LaTeX Warning: Reference `thm:product-measure' on page 1 undefined on input lin
e 230.


LaTeX Warning: Reference `lem:indic-swap' on page 1 undefined on input line 256
.

)

[4] (./check_07.aux)
 ***********
LaTeX2e <2024-11-01> patch level 2
L3 programming layer <2025-01-18>
 ***********


LaTeX Warning: There were undefined references.


LaTeX Warning: Label(s) may have changed. Rerun to get cross-references right.


Package rerunfilecheck Warning: File `check_07.out' has changed.
(rerunfilecheck)                Rerun to get outlines right
(rerunfilecheck)                or use package `bookmark'.

Package rerunfilecheck Info: Checksums for `check_07.out':
(rerunfilecheck)             Before: 9B6D9B1657508013D9977D8FF851B210;1050
(rerunfilecheck)             After:  FEBF5F9E2B32E842A2B38A6B5CF121DE;1269.
)

Here is how much of LuaTeX's memory you used:
 44062 strings out of 475506
 125236,1648299 words of node,token memory allocated
 1702 words of node memory still in use:
   31 hlist, 2 vlist, 14 rule, 1 local_par, 4 glue, 4 kern, 1 penalty, 3 glyph, 
109 attribute, 105 glue_spec, 109 attribute_list, 2 write, 24 pdf_literal, 24 pd
f_colorstack nodes
   avail lists: 1:2,2:1900,3:1261,4:220,5:447,6:70,7:8017,8:56,9:915,10:19,11:36
2,12:1
 66062 multiletter control sequences out of 65536+600000
 178 fonts using 57375419 bytes
 99i,13n,126p,1100b,2936s stack positions out of 10000i,1000n,20000p,200000b,200000s
</Users/aayushbajaj/Library/Fonts/lucidabright_demi.ttf></usr/local/texlive/2025
/texmf-dist/fonts/opentype/public/xits/XITSMath-Regular.otf></usr/local/texlive/
2025/texmf-dist/fonts/opentype/public/lm-math/latinmodern-math.otf></usr/local/t
exlive/2025/texmf-dist/fonts/opentype/public/tex-gyre-math/texgyrepagella-math.o
tf></usr/local/texlive/2025/texmf-dist/fonts/opentype/public/lm-math/latinmodern
-math.otf></Users/aayushbajaj/Library/Fonts/Lucida Bright Italic.ttf></Users/aay
ushbajaj/Library/Fonts/LBRITE.TTF></usr/local/texlive/2025/texmf-dist/fonts/open
type/impallari/cabin/Cabin-Bold.otf></usr/local/texlive/2025/texmf-dist/fonts/op
entype/impallari/cabin/Cabin-Regular.otf>
Output written on check_07.pdf (4 pages, 78070 bytes).

PDF statistics: 170 PDF objects out of 1000 (max. 8388607)
 111 compressed objects within 2 object streams
 30 named destinations out of 1000 (max. 131072)
 288 words of extra memory for PDF output out of 10000 (max. 100000000)