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207 lines
6.8 KiB
207 lines
6.8 KiB
\documentclass[12pt]{article}
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\usepackage[pdftex,pagebackref,letterpaper=true,colorlinks=true,pdfpagemode=none,urlcolor=blue,linkcolor=blue,citecolor=blue,pdfstartview=FitH]{hyperref}
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\usepackage{amsmath,amsfonts}
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\usepackage{graphicx}
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\usepackage{color}
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\setlength{\oddsidemargin}{0pt}
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\setlength{\evensidemargin}{0pt}
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\setlength{\textwidth}{6.0in}
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\setlength{\topmargin}{0in}
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\setlength{\textheight}{8.5in}
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\setlength{\parindent}{0in}
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\setlength{\parskip}{5px}
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\input{macrosblog}
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\begin{document}
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Look at the document source to see how to \sout{strike out} text, how
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to \begin{red}use\end{red} \begin{green}different\end{green} \begin{blue}colors\end{blue},
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and how to \href{http://www.google.com}{link to URLs with snapshot preview}
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and how to \hrefnosnap{http://www.google.com}{link to URLs without snapshot preview}.
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There is a command which is ignored by pdflatex and which
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defines where to cut the post in the version displayed on the
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main page\more
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Anything between the conditional declarations {\em ifblog . . . fi}
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is ignored by LaTeX and processed by latex2wp. Anything
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between {\em iftex . . . fi} is processed by LaTex and ignored
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by latex2wp.
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\ifblog \begin{green}This green sentence appears only in WordPress \end{green} \fi
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\iftex \begin{red}This red sentence appears only in the LaTeX preview \end{red} \fi
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This is useful if one, in desperation, wants to put pure HTML commands
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in the {\em ifblog . . . fi} scope.
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\begin{lemma}[Main] \label{lm:main}
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Let $\cal F$ be a total ramification of a compactifier, then
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\begin{equation} \label{eq:lemma} \forall g \in {\cal F}. g^2 = \eta \end{equation}
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\end{lemma}
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The (modifiable) numbering scheme is that lemmas, theorems,
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propositions, remarks and corollaries share the same counters,
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while exercises and examples have each their own counter.
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\begin{theorem} \label{th:ad} The ad\`ele of a number field is never
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hyperbolically transfinite.
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\end{theorem}
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\begin{proof} Left as an exercise. \end{proof}
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\begin{exercise} Find a counterexample to Theorem \ref{th:ad}.
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\end{exercise}
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\begin{exercise}[Advanced] Prove Lemma \ref{lm:main}. \end{exercise}
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Note that accented characters are allowed. Unfortunately,
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Erd\H os's name cannot be properly typeset in HTML.
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(Note that to get the above approximation, you need to type
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backslash-H-space-o, rather than backslash-H-{o}. Both are
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good in LaTeX, but only the second is recognized by LaTeX2WP.)
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One can correctly type the names of H\aa stad, Szemer\'edi,
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\v{C}ech, and so on.
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It is possible to have numbered equations
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\begin{equation} \label{eq:test} \frac 1 {x^2} \ge 0 \end{equation}
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and unnumbered equations
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$$ t(x) - \frac 12 > x^{\frac 13} $$
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Unnumbered equations can be created with the double-dollar sign
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command or with the backslash-square bracket command.
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\[ f(x) = \int_{-\infty}^{x} \frac 1 {t^2} dt \]
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It is possible to refer to equations and
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theorems via the {\em ref}, {\em eqref} and {\em label} LaTeX
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commands, for example to Equation (\ref{eq:test}),
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to Equation \eqref{eq:lemma},
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and to Lemma \ref{lm:main} above.
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eqnarray* is supported, but not eqnarray:
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\begin{eqnarray*}
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f(x) & < & x^2 - y^2\\
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& = & (x+y) \cdot (x-y)
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\end{eqnarray*}
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{\em You {\bf can} nest a {\bf bold} text inside an emphasized
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text or viceversa.}
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The theorem-like environments {\em theorem}, {\em lemma},
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{\em proposition}, {\em remark}, {\em corollary}, {\em example}
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and {\em exercise} are defined, as is the {\em proof} environment.
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The LaTex commands to type \$, \%, and \&\ are supported outside
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math mode, and \%\ and \&\ are supported in math mode as well:
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\[ 30 \& 10 \% \]
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The section symbol \S\ is also supported.
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WordPress has trouble if a LaTeX expression containing a $<$
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symbol, such as $x^2 < x^2 + 1$ is followed by an expression
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containing a $>$ symbol, such as $(x+y)^2 > (x+y)^2 - 3$. This
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is fixed by converting the inequality symbols into ``HTML
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character codes.'' Always write the symbols $<$ and $>$ in
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math mode.
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It it is possible to have tabular environments, both with borders
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(the border will not be displayed in the LaTeX preview), as in
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\begin{btabular}{lr}
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blog & quality\\
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what's new & excellent\\
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in theory & poor
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\end{btabular}
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and without borders as in
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\begin{tabular}{ccc}
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$a$ & $\rightarrow$ & $b$\\
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$\downarrow$ & & $\uparrow$\\
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$c$ & $\rightarrow$ & $d$
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\end{tabular}
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(The tabular environments will be centered in WordPress, but
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not in the LaTeX preview.)
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And it is possible to include a picture so that the pdf file produced
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with pdflatex imports it from a local image file (which has to be
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pdf, gif, jpeg, or png) and the WordPress post imports it from a URL.
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\image{width = 400}{http://imgs.xkcd.com/comics/donald_knuth.png}{knuth.png}
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The {\em image} command used to generate the above image
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has three parameter: a size parameter for either the width or the height,
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expressed in pixels (if different from the original resolution, the picture
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will be scaled), a URL for the location of the image (this will be used
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by WordPress) and a local file name (which will used by pdflatex).
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It is possible to have numbered and unnumbered sections and subsections.
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References to {\em label} commands which are not in the scope of
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a numbered equation or a numbered theorem-like environment
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will refer to the section number,
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such as a reference to Section \ref{sec} below.
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HTML does not have good support for itemized list with
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descriptors (what one gets in LaTeX using the {\em itemize} environment
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with optional parameters in square brackets after the {\em item} commands).
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We can only offer the following rather ugly rendering:
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\begin{itemize}
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\item [Case a.] Description of case a
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\item [Case b.] Description of case b
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\end{itemize}
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\section*{Examples of Sections}
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\subsection*{And Subsections}
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\section{A section}
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\label{sec}
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\subsection{And a subsection}
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\section{Changing the style}
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The file latex2wpstyle.py contains several definitions that determine
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the appearance of the WordPress translation. It should be self-explanatory
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to change the way sections, subsections, proofs and theorem-like
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environments are typeset, and to change the numbering scheme
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for theorem-like environments.
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The variable $M$ in latex2wpstyle.py contains a list of pairs of strings.
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For every pair, every occurrence of the first string in the document is
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replaced by an occurrence of the second before proceeding to the
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conversion from LaTeX to WordPress. If you want to use simple macros
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(which do not involve parameter-passing) then edit $M$ to add support
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for your own LaTeX macros. (You will have to define the macros in
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macrosblog.tex as well, otherwise you will not be able to compile
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your LaTeX file and preview it.)
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Some macros are already defined. For example, backslash-E produces
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an expectation symbol:
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\[ \E_{x \in X} f(x) := \sum_{x\in X} \P [x] \cdot f(x) \]
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Some more macros (see the LaTeX source)
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\[ \B, \R , \C, \Z, \N , \Q, \eps \]
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\end{document}
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