Python/Functional.latexml.log at main · jrsousa2/Python · GitHub

1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
(Loading C:\Strawberry\perl\site\lib\LaTeXML\Package\TeX.pool.ltxml...
(Loading C:\Strawberry\perl\site\lib\LaTeXML\Package\eTeX.pool.ltxml... 0.01 sec)
(Loading C:\Strawberry\perl\site\lib\LaTeXML\Package\pdfTeX.pool.ltxml... 0.01 sec) 0.22 sec)
latexmlc (LaTeXML version 0.8.8)
invoked as [C:\Strawberry\perl\site\bin/latexmlc D:\Math\12o-1 Paper-Functional\Functional.tex --dest D:\GH\Functional.html]
processing started Fri Aug 28 00:44:25 2026
(Digesting TeX Functional...
(Processing content D:\Math\12o-1 Paper-Functional\Functional.tex...
(Loading C:\Strawberry\perl\site\lib\LaTeXML\Package\LaTeX.pool.ltxml...
(Loading C:\Strawberry\perl\site\lib\LaTeXML\Package\textcomp.sty.ltxml...
(Processing definitions C:/Program Files/MiKTeX/tex/latex/base/ts1enc.dfu... 0.04 sec) 1.46 sec) 1.82 sec)
(Loading C:\Strawberry\perl\site\lib\LaTeXML\Package\article.cls.ltxml... 0.02 sec)
(Loading C:\Strawberry\perl\site\lib\LaTeXML\Package\xcolor.sty.ltxml...
(Loading C:\Strawberry\perl\site\lib\LaTeXML\Package\color.sty.ltxml... 0.01 sec)
(Processing definitions C:/Program Files/MiKTeX/tex/latex/graphics/dvipsnam.def... 0.12 sec) 0.80 sec)
(Loading C:\Strawberry\perl\site\lib\LaTeXML\Package\amsfonts.sty.ltxml... 0.00 sec)
(Loading C:\Strawberry\perl\site\lib\LaTeXML\Package\setspace.sty.ltxml... 0.00 sec)
(Loading C:\Strawberry\perl\site\lib\LaTeXML\Package\bm.sty.ltxml... 0.00 sec)
(Loading C:\Strawberry\perl\site\lib\LaTeXML\Package\bbm.sty.ltxml... 0.00 sec)
(Loading C:\Strawberry\perl\site\lib\LaTeXML\Package\amssymb.sty.ltxml... 0.02 sec)
(Loading C:\Strawberry\perl\site\lib\LaTeXML\Package\indentfirst.sty.ltxml... 0.00 sec)
(Loading C:\Strawberry\perl\site\lib\LaTeXML\Package\geometry.sty.ltxml...
(Loading C:\Strawberry\perl\site\lib\LaTeXML\Package\keyval.sty.ltxml...
(Processing definitions C:/Program Files/MiKTeX/tex/latex/graphics/keyval.sty... 0.02 sec) 0.66 sec)
(Loading C:\Strawberry\perl\site\lib\LaTeXML\Package\ifpdf.sty.ltxml... 0.00 sec)
(Loading C:\Strawberry\perl\site\lib\LaTeXML\Package\ifvtex.sty.ltxml...
(Loading C:\Strawberry\perl\site\lib\LaTeXML\Package\iftex.sty.ltxml... 0.00 sec) 0.01 sec)
(Loading C:\Strawberry\perl\site\lib\LaTeXML\Package\ifxetex.sty.ltxml... 0.00 sec) 0.71 sec)
(Loading C:\Strawberry\perl\site\lib\LaTeXML\Package\mathtools.sty.ltxml...
(Loading C:\Strawberry\perl\site\lib\LaTeXML\Package\calc.sty.ltxml... 0.00 sec)
(Loading C:\Strawberry\perl\site\lib\LaTeXML\Package\amsmath.sty.ltxml...
(Loading C:\Strawberry\perl\site\lib\LaTeXML\Package\amsbsy.sty.ltxml...
(Loading C:\Strawberry\perl\site\lib\LaTeXML\Package\amsgen.sty.ltxml... 0.01 sec) 0.02 sec)
(Loading C:\Strawberry\perl\site\lib\LaTeXML\Package\amstext.sty.ltxml... 0.01 sec)
(Loading C:\Strawberry\perl\site\lib\LaTeXML\Package\amsopn.sty.ltxml... 0.01 sec) 0.11 sec) 0.18 sec)
(Loading C:\Strawberry\perl\site\lib\LaTeXML\Package\hyperref.sty.ltxml...
(Loading C:\Strawberry\perl\site\lib\LaTeXML\Package\ltxcmds.sty.ltxml...
(Processing definitions C:/Program Files/MiKTeX/tex/generic/ltxcmds/ltxcmds.sty... 0.15 sec) 0.84 sec)
(Loading C:\Strawberry\perl\site\lib\LaTeXML\Package\kvsetkeys.sty.ltxml...
(Processing definitions C:/Program Files/MiKTeX/tex/latex/kvsetkeys/kvsetkeys.sty... 0.09 sec) 0.71 sec)
(Loading C:\Strawberry\perl\site\lib\LaTeXML\Package\kvdefinekeys.sty.ltxml...
(Processing definitions C:/Users/JR Sousa/AppData/Roaming/MiKTeX/tex/generic/kvdefinekeys/kvdefinekeys.sty... 0.04 sec) 0.59 sec)
(Loading C:\Strawberry\perl\site\lib\LaTeXML\Package\kvoptions.sty.ltxml...
(Processing definitions C:/Program Files/MiKTeX/tex/latex/kvoptions/kvoptions.sty... 0.22 sec) 0.83 sec)
(Loading C:\Strawberry\perl\site\lib\LaTeXML\Package\nameref.sty.ltxml...
(Loading C:\Strawberry\perl\site\lib\LaTeXML\Package\refcount.sty.ltxml...
(Processing definitions C:/Program Files/MiKTeX/tex/latex/refcount/refcount.sty...
(Loading C:\Strawberry\perl\site\lib\LaTeXML\Package\infwarerr.sty.ltxml...
(Processing definitions C:/Program Files/MiKTeX/tex/generic/infwarerr/infwarerr.sty... 0.10 sec) 0.70 sec) 0.83 sec) 1.43 sec)
(Loading C:\Strawberry\perl\site\lib\LaTeXML\Package\gettitlestring.sty.ltxml...
(Processing definitions C:/Program Files/MiKTeX/tex/generic/gettitlestring/gettitlestring.sty... 1.26 sec) 1.88 sec) 3.34 sec)
(Loading C:\Strawberry\perl\site\lib\LaTeXML\Package\url.sty.ltxml... 0.00 sec)
(Loading C:\Strawberry\perl\site\lib\LaTeXML\Package\bitset.sty.ltxml...
(Processing definitions C:/Program Files/MiKTeX/tex/generic/bitset/bitset.sty...
(Loading C:\Strawberry\perl\site\lib\LaTeXML\Package\intcalc.sty.ltxml...
(Processing definitions C:/Program Files/MiKTeX/tex/generic/intcalc/intcalc.sty... 0.08 sec) 0.71 sec)
(Loading C:\Strawberry\perl\site\lib\LaTeXML\Package\bigintcalc.sty.ltxml...
(Processing definitions C:/Program Files/MiKTeX/tex/generic/bigintcalc/bigintcalc.sty...
(Loading C:\Strawberry\perl\site\lib\LaTeXML\Package\pdftexcmds.sty.ltxml... 0.01 sec) 0.26 sec) 0.92 sec) 1.89 sec) 2.43 sec) 8.88 sec)
(Loading C:\Strawberry\perl\site\lib\LaTeXML\Package\natbib.sty.ltxml... 0.03 sec)
(Loading C:\Strawberry\perl\site\lib\LaTeXML\Package\graphicx.sty.ltxml...
(Loading C:\Strawberry\perl\site\lib\LaTeXML\Package\graphics.sty.ltxml... 0.01 sec) 0.04 sec) 18.29 sec) 18.32 sec)
(Building...
(Loading compiled schema C:\Strawberry\perl\site\lib\LaTeXML\resources/RelaxNG\LaTeXML.model... 0.02 sec) 8.63 sec)
(Rewriting... 0.35 sec)
(Math Parsing 235 formulae ......
Warning:not_parsed:OPEN.UNKNOWN.CLOSE>RELOP MathParser failed to match rule 'Anything'
	at Functional.tex; line 257 col 16 - line 264 col 14
	In "\begin{equation}\zeta(j)=\left\{\begin{aligned} &\frac{(2\pi\bm{i})^{j}}{2\,%
	\Gamma(j)}\zeta(1-j)\text{, if $j$ is even},\\
	&\frac{2\,(2\pi)^{j-1}}{\Gamma(j)}\sin{\frac{\pi j}{2}}\,\zeta^{\prime}(1-j)%
	\text{, if $j$ is odd,}\end{aligned}\right.\end{equation}"
	ζ[[UNKNOWN]] ([[OPEN]] j[[UNKNOWN]] )[[CLOSE]]
	        > =[[RELOP]] \left\{[[OPEN]] Alignment[][[UNKNOWN]]
Warning:not_parsed:>OPEN MathParser failed to match rule 'Anything'
	at Functional.tex; line 382 col 16 - line 393 col 14
	In "\begin{equation}\left\{\begin{aligned} &k\notin\mathbb{Z}_{-}\cup\{0\},\\
	&-2\pi\leq\Im(z)\leq 2\pi\text{ and }z\neq 0,\\
	&\Im(b)>0,\\
	&\text{or }b<0,\\
	&\text{or }0<\Re(b)<1\text{ and }-2\pi\leq\Im(b)\leq 0,\\
	&\text{or }-1<\Re(b)<0\text{ and }0\leq\Im(b)\leq 2\pi.\end{aligned}\right.\end{equation}"
	> \left\{[[OPEN]] Alignment[][[UNKNOWN]]
Warning:not_parsed:RELOP.UNKNOWN.POSTSUPERSCRIPT>OPEN MathParser failed to match rule 'Anything'
	at Functional.tex; line 527 col 0 - line 527 col 26
	In "\begin{multline}\frac{\text{d}^{k}e^{z\,x}\left(1-\pi\,x\cot{\pi x}\right)}{%
	\text{d}\,x^{k}}=e^{z\,x}\Big{(}z^{k}-\pi\bm{i}\,x\,z^{k}-\pi\bm{i}\,k\,z^{k-1%
	}+x\,(2\pi\bm{i})^{k+1}\,\Phi\left(e^{2\pi\bm{i}\,x},-k,\frac{z}{2\pi\bm{i}}%
	\right)\\
	+k\,(2\pi\bm{i})^{k}\,\Phi\left(e^{2\pi\bm{i}\,x},-k+1,\frac{z}{2\pi\bm{i}}%
	\right)\Big{)}\end{multline}\frac{\text{d}^{k}e^{z\,x}\left(1-\pi\,x\cot{\pi x%
	}\right)}{\text{d}\,x^{k}}=e^{z\,x}\Big{(}z^{k}-\pi\bm{i}\,x\,z^{k}-\pi\bm{i}%
	\,k\,z^{k-1}+x\,(2\pi\bm{i})^{k+1}\,\Phi\left(e^{2\pi\bm{i}\,x},-k,\frac{z}{2%
	\pi\bm{i}}\right)\\
	+k\,(2\pi\bm{i})^{k}\,\Phi\left(e^{2\pi\bm{i}\,x},-k+1,\frac{z}{2\pi\bm{i}}%
	\right)\Big{)}"
	\frac{\text{d}^{k}e^{z\,x}\left(1-\pi\,x\cot{\pix}\right)}{\text{d}\,x^{k}}[[UNKNOWN]] =[[RELOP]] e[[UNKNOWN]] ^{z\,x}[[POSTSUPERSCRIPT]]
	        > ([[OPEN]] z[[UNKNOWN]] ^{k}[[POSTSUPERSCRIPT]] -[[ADDOP]] π[[UNKNOWN]] i[[UNKNOWN]] x[[UNKNOWN]] z[[UNKNOWN]] ^{k}[[POSTSUPERSCRIPT]] -[[ADDOP]] π[[UNKNOWN]] i[[UNKNOWN]] k[[UNKNOWN]] z[[UNKNOWN]] ^{k-1}[[POSTSUPERSCRIPT]] +[[ADDOP]] x[[UNKNOWN]] ([[OPEN]] 2[[NUMBER]] π[[UNKNOWN]] i[[UNKNOWN]] )[[CLOSE]] ^{k+1}[[POSTSUPERSCRIPT]] Φ[[UNKNOWN]] \left([[OPEN]] e[[UNKNOWN]] ^{2\pi\bm{i}\,x}[[POSTSUPERSCRIPT]] ,[[PUNCT]] -[[ADDOP]] k[[UNKNOWN]] ,[[PUNCT]] \frac{z}{2\pi\bm{i}}[[UNKNOWN]] \right)[[CLOSE]]
Warning:not_parsed:PUNCT.ATOM.CLOSE>CLOSE MathParser failed to match rule 'Anything'
	at Functional.tex; line 529 col 3 - line 529 col 3
	+[[ADDOP]] k[[UNKNOWN]] ([[OPEN]] 2[[NUMBER]] π[[UNKNOWN]] i[[UNKNOWN]] )[[CLOSE]] ^{k}[[POSTSUPERSCRIPT]] Φ[[UNKNOWN]] \left([[OPEN]] e[[UNKNOWN]] ^{2\pi\bm{i}\,x}[[POSTSUPERSCRIPT]] ,[[PUNCT]] -[[ADDOP]] k[[UNKNOWN]] +[[ADDOP]] 1[[NUMBER]] ,[[PUNCT]] \frac{z}{2\pi\bm{i}}[[UNKNOWN]] \right)[[CLOSE]]
	        > )[[CLOSE]]
Warning:not_parsed:POSTSUPERSCRIPT.UNKNOWN.UNKNOWN>RELOP MathParser failed to match rule 'Anything'
	at Functional.tex; line 550 col 16 - line 557 col 14
	In "\begin{equation}\int_{0}^{1}\left((1-u)^{k-1}-1\right)u^{2j-1}\,du=\left\{%
	\begin{aligned} &\frac{\Gamma(k)\,\Gamma(2j)}{\Gamma(2j+k)}-\frac{1}{2j}\text{%
	, if }j\geq 1\text{,}\\
	&-H(k-1)\text{, if }j=0\text{ and }\Re(k)>0\end{aligned}\right.\end{equation}"
	∫[[INTOP]] _{0}[[POSTSUBSCRIPT]] ^{1}[[POSTSUPERSCRIPT]] \left([[OPEN]] ([[OPEN]] 1[[NUMBER]] -[[ADDOP]] u[[UNKNOWN]] )[[CLOSE]] ^{k-1}[[POSTSUPERSCRIPT]] -[[ADDOP]] 1[[NUMBER]] \right)[[CLOSE]] u[[UNKNOWN]] ^{2j-1}[[POSTSUPERSCRIPT]] d[[UNKNOWN]] u[[UNKNOWN]]
	        > =[[RELOP]] \left\{[[OPEN]] Alignment[][[UNKNOWN]]
Warning:not_parsed:>OPEN MathParser failed to match rule 'Anything'
	at Functional.tex; line 572 col 16 - line 579 col 14
	In "\begin{equation}\left\{\begin{aligned} &f(z)+\frac{z^{k}}{(-z)^{k}}\,f(-z)=g(z%
	,k)\\
	&\frac{(-z)^{k}}{z^{k}}\,f(z)+f(-z)=g(-z,k)\end{aligned}\right.\end{equation}"
	> \left\{[[OPEN]] Alignment[][[UNKNOWN]]
 23.63 sec)
Math parsing succeeded:
   ltx:XMWrap: 38/39
   ltx:XMath: 235/239
   ltx:XMArg: 1196/1198
Symbols assumed as simple identifiers (with # of occurences):
   'Delta' (1), 'Gamma' (42), 'H{italic}' (21), 'Li' (25), 'Phi' (48), 'Z{blackboard}' (3), 'a{italic}' (4), 'b{italic}' (274), 'delta' (2), 'd{italic}' (19), 'e{italic}' (166), 'f{italic}' (22), 'g{italic}' (5), 'i{bold italic}' (145), 'j{italic}' (219), 'k{italic}' (300), 'n{italic}' (48), 'pi' (196), 'q{italic}' (23), 'u{italic}' (77), 'x{italic}' (52), 'zeta' (68), 'z{italic}' (271)
Set MATHPARSER_SPECULATE to speculate on possible notations.
(Finalizing... 2.59 sec)
Conversion complete: 6 warnings (See D:/Python\Functional.latexml.log)
(post-processing...
(Scan Functional.html processing...
Scan: DBStatus: 3241/0 objects
 0.84 sec)
(MakeBibliography Functional.html processing... 0.00 sec)
(CrossRef Functional.html processing... 0.46 sec)
(MathML::Presentation Functional.html 240 to process...
converted 240 Maths
 2.62 sec)
(XSLT[using LaTeXML-html5.xsl] Functional.html processing... 0.44 sec)
(Writer Functional.html processing... 0.01 sec) 4.41 sec)
Post-processing complete: No obvious problems
processing finished Fri Aug 28 00:45:25 2026
Status:conversion:1