Sharedwww / tables / parity / images.texOpen in CoCalc
Author: William A. Stein
1
\batchmode
2
\documentstyle[11pt]{article}
3
\makeatletter
4
5
\providecommand{\pow}[1]{{\mathcal P}(#1)}
6
\providecommand{\F}{\mbox{\bf F}}
7
\providecommand{\Ftwo}{\mbox{\bf F}_2}
8
\providecommand{\defn}[1]{{\em #1}}
9
\providecommand{\bij}{\varphi}
10
\title{Parity structures and generating functions from Boolean rings}
11
\author{David Petrie Moulton\footnote{This work was
12
done while the first author was a Research Fellow
13
at the University of California at Berkeley.}\\
14
Department of Mathematics\\
15
University of Wisconsin\\
16
Madison, WI 53706\\
17
\and
18
William A.\ Stein\\
19
Department of Mathematics\\
20
University of California\\
21
Berkeley, CA 94720}
22
\date{\today}
23
\par
24
25
26
27
\makeatletter
28
\[email protected]=\the\catcode`\_ \catcode`\_=8
29
\newenvironment{tex2html_wrap}{}{} \catcode`\_=\[email protected]
30
\makeatother
31
\let\mathon=$
32
\let\mathoff=$
33
\ifx\AtBeginDocument\undefined \newcommand{\AtBeginDocument}[1]{}\fi
34
\newbox\sizebox
35
\setlength{\hoffset}{0pt}\setlength{\voffset}{0pt}
36
\addtolength{\textheight}{\footskip}\setlength{\footskip}{0pt}
37
\addtolength{\textheight}{\topmargin}\setlength{\topmargin}{0pt}
38
\addtolength{\textheight}{\headheight}\setlength{\headheight}{0pt}
39
\addtolength{\textheight}{\headsep}\setlength{\headsep}{0pt}
40
\setlength{\textwidth}{349pt}
41
\newwrite\lthtmlwrite
42
\makeatletter
43
\let\realnormalsize=\normalsize
44
\global\topskip=2sp
45
\def\preveqno{}\let\[email protected]=\@float \let\[email protected]=\[email protected]
46
\def\@float{\let\@savefreelist\@freelist\[email protected]}
47
\def\[email protected]{\[email protected]\global\let\@freelist\@savefreelist}
48
\let\[email protected]=\@dbflt \let\[email protected]=\[email protected]
49
\let\@largefloatcheck=\relax
50
\def\@dbflt{\let\@savefreelist\@freelist\[email protected]}
51
\def\adjustnormalsize{\def\normalsize{\mathsurround=0pt \realnormalsize
52
\parindent=0pt\abovedisplayskip=0pt\belowdisplayskip=0pt}\normalsize}%
53
\def\lthtmltypeout#1{{\let\protect\string\immediate\write\lthtmlwrite{#1}}}%
54
\newcommand\lthtmlhboxmathA{\adjustnormalsize\setbox\sizebox=\hbox\bgroup}%
55
\newcommand\lthtmlvboxmathA{\adjustnormalsize\setbox\sizebox=\vbox\bgroup%
56
\let\ifinner=\iffalse }%
57
\newcommand\lthtmlboxmathZ{\@next\next\@currlist{}{\def\next{\[email protected]}}%
58
\expandafter\box\next\egroup}%
59
\newcommand\lthtmlmathtype[1]{\def\lthtmlmathenv{#1}}%
60
\newcommand\lthtmllogmath{\lthtmltypeout{l2hSize %
61
:\lthtmlmathenv:\the\ht\sizebox::\the\dp\sizebox::\the\wd\sizebox.\preveqno}}%
62
\newcommand\lthtmlfigureA[1]{\let\@savefreelist\@freelist
63
\lthtmlmathtype{#1}\lthtmlvboxmathA}%
64
\newcommand\lthtmlfigureZ{\lthtmlboxmathZ\lthtmllogmath\copy\sizebox
65
\global\let\@freelist\@savefreelist}%
66
\newcommand\lthtmldisplayA[1]{\lthtmlmathtype{#1}\lthtmlvboxmathA}%
67
\newcommand\lthtmldisplayB[1]{\edef\preveqno{(\theequation)}%
68
\lthtmldisplayA{#1}\let\@eqnnum\relax}%
69
\newcommand\lthtmldisplayZ{\lthtmlboxmathZ\lthtmllogmath\lthtmlsetmath}%
70
\newcommand\lthtmlinlinemathA[1]{\lthtmlmathtype{#1}\lthtmlhboxmathA \vrule height1.5ex width0pt }%
71
\newcommand\lthtmlinlineA[1]{\lthtmlmathtype{#1}\lthtmlhboxmathA}%
72
\newcommand\lthtmlinlineZ{\egroup\expandafter\ifdim\dp\sizebox>0pt %
73
\expandafter\centerinlinemath\fi\lthtmllogmath\lthtmlsetinline}
74
\newcommand\lthtmlinlinemathZ{\egroup\expandafter\ifdim\dp\sizebox>0pt %
75
\expandafter\centerinlinemath\fi\lthtmllogmath\lthtmlsetmath}
76
\def\lthtmlsetinline{\hbox{\vrule width.1em\vtop{\vbox{%
77
\kern.1em\copy\sizebox}\ifdim\dp\sizebox>0pt\kern.1em\else\kern.3pt\fi
78
\ifdim\hsize>\wd\sizebox \hrule depth1pt\fi}}}
79
\def\lthtmlsetmath{\hbox{\vrule width.1em\vtop{\vbox{%
80
\kern.1em\kern1.25 pt\hbox{\hglue.17em\copy\sizebox\hglue1.25 pt}}\kern.3pt%
81
\ifdim\dp\sizebox>0pt\kern.1em\fi \kern1.25 pt%
82
\ifdim\hsize>\wd\sizebox \hrule depth1pt\fi}}}
83
\def\centerinlinemath{%\dimen1=\ht\sizebox
84
\dimen1=\ifdim\ht\sizebox<\dp\sizebox \dp\sizebox\else\ht\sizebox\fi
85
\advance\dimen1by.5pt \vrule width0pt height\dimen1 depth\dimen1
86
\dp\sizebox=\dimen1\ht\sizebox=\dimen1\relax}
87
88
\def\lthtmlcheckvsize{\ifdim\ht\sizebox<\vsize\expandafter\vfill
89
\else\expandafter\vss\fi}%
90
\makeatletter \tracingstats = 1
91
92
93
\begin{document}
94
\pagestyle{empty}\thispagestyle{empty}%
95
\lthtmltypeout{latex2htmlLength hsize=\the\hsize}%
96
\lthtmltypeout{latex2htmlLength vsize=\the\vsize}%
97
\lthtmltypeout{latex2htmlLength hoffset=\the\hoffset}%
98
\lthtmltypeout{latex2htmlLength voffset=\the\voffset}%
99
\lthtmltypeout{latex2htmlLength topmargin=\the\topmargin}%
100
\lthtmltypeout{latex2htmlLength topskip=\the\topskip}%
101
\lthtmltypeout{latex2htmlLength headheight=\the\headheight}%
102
\lthtmltypeout{latex2htmlLength headsep=\the\headsep}%
103
\lthtmltypeout{latex2htmlLength parskip=\the\parskip}%
104
\lthtmltypeout{latex2htmlLength oddsidemargin=\the\oddsidemargin}%
105
\makeatletter
106
\[email protected]\lthtmltypeout{latex2htmlLength evensidemargin=\the\evensidemargin}%
107
\else\lthtmltypeout{latex2htmlLength evensidemargin=\the\oddsidemargin}\fi%
108
\makeatother
109
{\newpage\clearpage
110
\lthtmlinlinemathA{tex2html_wrap_inline1434}%
111
$2^{{\@mathcal P}(S)}$%
112
\lthtmlinlinemathZ
113
\hfill\lthtmlcheckvsize\clearpage}
114
115
\stepcounter{section}
116
\stepcounter{section}
117
\stepcounter{section}
118
\stepcounter{section}
119
\stepcounter{section}
120
\stepcounter{section}
121
122
\end{document}
123