\\title{The User’s Manual of LaTeX2HTML 2.0.0}
\n\\author{Van Abel}
\n\\date{\\today}
\n\\address{USTC}
\n\\email{van141.abel(at)gmail.com}
\n\\begin{abstract}
\nThe LaTeX2HTML wordpress plugin is designed to make you publish a post from your latex document more quickly and conveniently. After a little pre-definition in your latex document, I find it works lovely.
\n\\end{abstract}
\n<\/p>\n
\\tableofcontents
\n\\section{How to Write the Basic Information of Your Post}\\label{sec:1}
\nJust as in LaTeX, you can use commands such as:\\verb|\\title|, \\verb|\\author|, \\verb|\\address|, \\verb|\\date|, \\verb|\\keywords| and the environment \\verb|abstract| to produce the basic information of your post. These command has the same meaning as in LaTeX, what’s more,
\n\\begin{itemize}
\n\\item you can use \\verb||\\verb|today| in \\verb|\\date|
\n\\item you can use \\verb|\\emph| to emphasis some thing
\n\\item you can use \\verb||\\verb|tableofcontents| to get the table of contents
\n\\item you can use \\verb|\\email| or \\verb|\\mailto| to set your mail, the first will be centered
\n\\end{itemize}
\n\\section{How to Write Section, Subsection and Subsubsection}<\/p>\n
Just like in Latex, isn’t it? Replace \\verb|\\section| with \\verb|\\subsection| and \\verb|\\subsubsection| if you want to write subsection and subsubsection, respectively. How about \\verb|\\subsubsubsection|? Sorry, there is no such command.<\/p>\n
Maybe you are still wandering: how do I get the list of contents by \\verb||\\verb|tableofcontents| command, one key factor is that I added a link just before each section and subsection, by which you can refer to it. See the referring back to \\autoref{sec:7.3} for detail.
\n\\section{Itemize and Enumerate: How to List Stuffs}
\nAs you have already saw, we can list the element with the same syntax as latex. What’s more, it support nested list:
\nWhat’s more you can nest them, for example
\n\\begin{itemize}
\n\\item Firstly
\n\\item Secondly
\n\\begin{itemize}
\n\\item The first item of Second
\n\\item The second item of Second
\n\\begin{itemize}
\n\\item The first item of the third item of second item
\n\\end{itemize}
\n\\end{itemize}
\n\\end{itemize}<\/p>\n
\\verb|Enumerate| works almost the same as \\verb|itemize|, except the style is different. For example replace \\verb|enumerate| in the above example with \\verb|enumerate|, then we get:
\n\\begin{enumerate}
\n\\item Firstly
\n\\item Secondly
\n\\begin{enumerate}
\n\\item The first item of Second
\n\\item The second item of Second
\n\\begin{enumerate}
\n\\item The first item of the third item of second item
\n\\end{enumerate}
\n\\end{enumerate}
\n\\end{enumerate}
\n\\section{The Footnote and Hyperlinks}
\nYou can use \\verb|\\footnote| in latex2html with the version newer than 2.1.2, which will transform footnote into superscript with a hyperlink to its content at the end of post. Also \\verb|\\footnotemark| and \\verb|\\footnotetext| are supported (they are used when footnote is used in formula), but as MathJax can\u2019t parse math when there are html tags, the footnote in formula is not hyperlinked (I add blue color to distinguish it).<\/p>\n
In the new version 2.3.5, the command \\verb|\\url{hyper-link}| and \\verb|\\href{hyper-link}{hyper-link-text}| are supported, which will create hyper-link to the link and the linked text respectively. Two important things to be noted: I have add an example data. Also try to \\emph{double click} to restore the last content in the input box. It also support \\verb|\\citelist| of amsrefs. It takes me about one month to write the plugin, I’m too tired to feel glad when I finally finished it. I don’t know whether it will help you a litter to post mathematics with latex language or not, but if it do have any, I will fell much better. \\title{The User’s Manual of LaTeX2 …<\/p>\n
\n\\section{The Color Scheme: How to Colorize You Content}
\nAs we have already showed that you can emphasis you content by \\verb|\\emph|, one other way is use \\verb|\\underline|. Besides, there is a more powerful scheme, now you emphasis some content with different colors, even for formulae.
\nFirstly, you must decide which class your content belonged to, the \\textcolor{green}{text} content or the \\textcolor{green}{mathematics} content, since these two classes are processed by different scheme, \\textcolor{green}{text} is by \\verb|latex2html| and \\textcolor{green}{mathematics} by \\verb|mathjax|.
\nJust as in Latex, the you can set a color for your formula by \\verb|\\color|\\verb|{color_name}|\\verb|{color_formula}|. For example
\n[
\n\\color{red}{a+b},\\quad\\color{blue}{a+b},\\quad\\color{green}{a+b}
\n]
\n[
\n\\frac{\\color{cyan}{a+b}}{c+d}, \\quad
\n\\frac{a}{\\color{magenta}{a+b}},\\quad
\n\\frac{a}{a+\\color{yellow}{b}}
\n]
\nOn the other hand, if you want to give color for your \\textcolor{green}{text} content, then you should use
\n\\verb|\\textcolor{color_name}|\\verb|{color_contents}|, for example
\n\\textcolor{red}{red} and \\textcolor{blue}{blue} and \\textcolor{green}{green} and \\textcolor{cyan}{cyan} and \\textcolor{magenta}{magenta} and \\textcolor{yellow}{yellow}.
\n\\section{The Figure Environment}
\nIn LaTeX2HTML version 2.1.0, I have add the ability to proceed figure<\/code> environment. As an example, you can use<\/p>\n\\begin{figure}[!htbp]\n\\centering\n\\includegraphics{myfig.png}\n\\caption{Just a test}\n\\label{myfig}\n\\end{figure}\nFrom the \\autoref{myfig} we can see\u2026<\/pre>\n
\n\\begin{enumerate}
\n\\item You must use the fullname of the figure, i.e. myfig.png<\/code>; NOT myfig<\/code>, since in the later case, we don’t know which figure is to be inserted here;
\n\\item after that you MUST upload the exact figure (named myfig.png<\/code> in the example) to your WordPress as usual. All the later process is handled by LaTeX2HTML plugin, you can just preview to see the results.
\n\\end{enumerate}
\n\\section{How to Write a Theorem}
\nThere are two group of environments, which process the content such as \\emph{Theorem}. One is used for a post, in which you mainly state something formally, just like you do in a research paper; The other is used for problem-discussion situation, in which you ask questions and hope for some examples and answers.
\nOf course the border is not so strict, for example the \\emph{examp} environment can used in both cases.
\nHere are the complete list of environments you can use (The example will be pop up at some time later), I take first few words of a environment to represent it, for example \\emph{thm} for \\emph{Theorem}:
\n\\begin{itemize}
\n\\item First group: \\verb|defn|(Definition), \\verb|lem|(Lemma), \\verb|prop|(Proposition), \\verb|thm|(Theorem), \\verb|cor|(Corollary), \\verb|rem|(Remark), \\verb|excs|(Exercise), \\verb|proof|(Proof)
\n\\item Second group: \\verb|prob|(Problem), \\verb|answer|(Answer)
\n\\item Mixed: \\verb|examp|(Example), \\verb|quote|(Quotation)
\n\\end{itemize}
\nI will go through the two group one by one, let’s begin with the first group.
\n\\subsection{Definition, Lemma, Proposition, Theorem, Corollary, Remark, Proof}
\nFirstly, you should keep in mind that: the distinguish between \\emph{command} and \\emph{environment} is
\n\\begin{quote}
\nA \\verb|command| begin with a \\verb|| and followed with the \\verb|name|, at last the content of command. It looks like \\verb||\\verb|emph{text}|; A \\emph{environment} must be wrapped by \\verb|begin| and \\verb|end|.
\n\\end{quote}
\n\\subsubsection{Basic Usage of Environments}
\nHere is an example of \\verb|definition| environment:
\n\\begin{defn}\\label{defn:1}
\nSuppose that $(X,\\mathcal M)$ and $(Y,\\mathcal N)$ are measurable spaces, and $f:X\\to Y$ is a map. We call $f$ is \\emph{measurable} if for every $B\\in\\mathcal N$ the set $f^{-1}(B)$ is in $\\mathcal M$.
\n\\end{defn}
\nThe other is similar, just replace \\verb|defn| with any one of the above environment:
\n\\begin{rem}
\nIf $Y$ is a topological space, and $\\mathcal N$ is the $\\sigma$-algebra of Borel sets, then $f$ is measurable if and only if the following condition satisfied:
\n\\begin{itemize}
\n\\item For every open set $V$ in $Y$, the inverse image $f^{-1}(V)$ is measurable.
\n\\end{itemize}
\n\\end{rem}
\n\\subsubsection{Assign a Name for Your Theorem}
\nYou can even assign a name to these environment, just as you did in latex, use \\verb|[text]| just behind the environment, for example:
\n\\begin{lem}[fundamental lemma of integration]
\nLet $\\set{f_n}$ be a Cauchy sequence of step mappings. Then there exists a subsequence which converges pointwise almost everywhere, and satisfies the additional property: given $\\eps$ there exists a set $Z$ of measure $< \\eps$ such that this subsequence converges absolutely and uniformly outside $Z$.
\n\\end{lem}
\n\\subsubsection{The Proof Environment}
\nThe following are the \\verb|proof| environment, and some more examples, if you are impatient to other contents, then just skip this subsection by click \\autoref{sec:6.2}.
\n\\begin{proof}
\nFor each integer $k$ there exists $N_k$ such that if $m,n\\geq N_k$, then
\n[
\n|f_m-f_n|_1< \\frac{1}{2^{2k}}.
\n]
\nWe let our subsequence be $g_k=f_{N_k}$, taking the $N_k$ inductively to be strictly increasing. Then we have for all $m,n$:
\n[
\n|g_m-g_n|_1 ]
\nWe shall show that the series
\n[
\ng_1(x)+\\sum_{k=1}^\\infty\\left(g_{k+1}(x)-g_k(x)\\right)
\n]
\nconverges absolutely for almost all $x$ to an element of $E$, and in fact we shall prove that this convergence is uniform except on a set of arbitrarily small measure.
\nLet $Y_n$ be the set of $x\\in X$ such that
\n[
\n|g_{n+1}(x)-g_n(x)|\\geq\\frac{1}{2^n}.
\n]
\nSince $g_n$ and $g_{n+1}$ are step mappings, it follows that $Y_n$ has finite measure. On $Y_n$ we have the inequality
\n[
\n\\frac{1}{2^n}\\leq|g_{n+1}-g_n|
\n]
\nwhence
\n[
\n\\frac{1}{2^n}\\mu(Y)=\\int_{Y_n}\\frac{1}{2^n}\\leq\\int_X|g_{n+1}-g_{n}|\\leq\\frac{1}{2^{2n}}.
\n]
\nHence
\n[
\n\\mu(Y_n)\\leq\\frac{1}{2^n}.
\n]
\nLet
\n[
\nZ_n=Y_n\\cup Y_{n+1}\\cup\\cdots.
\n]
\nThen
\n[
\n\\mu(Z_n)\\leq \\frac{1}{2^{n-1}}.
\n]
\nIf $x\\not\\in Z_n$, then for $k\\geq n$ we have
\n[
\n|g_{k+1}(x)-g_k(x)| ]
\nand from this we conclude that our series
\n[
\n\\sum_{k=n}^\\infty\\left(g_{k+1}(x)-g_{k}(x)\\right)
\n]
\nis absolutely and uniformly convergent, for $x\\not\\in Z_n$. This proves the statement concerning the uniform convergence. If we let $Z$ be the intersection of all $Z_n$, then $Z$ has measure $0$, and if $x\\not\\in Z$, then $x\\not\\in Z_n$ for some $n$, whence our series converges for this $x$. This proves the lemma.
\n\\end{proof}
\n\\subsubsection{More Examples of Environments}
\n\\begin{thm}
\nLet $f_n$ be a Cauchy sequence in $\\mathcal L^1$ which is $L^1$-convergent to an element $f$ in $\\mathcal L^1$. Then there exists a subsequence which converges to $f$ almost everywhere, and also such that given $\\eps$, there exists a set $Z$ of measure $< \\eps$ such that the convergence is uniform on the complement of $Z$.
\n\\end{thm}
\n\\begin{cor}
\nAn element $f\\in\\mathcal L^1$ has seminorm $|f|_1=\\int_X|f|\\rd\\mu=0$ if and only if $f$ is equal to $0$ almost everywhere.
\n\\end{cor}
\n\\begin{prop}[Monotone Convergence Theorem]\\label{prop:4}
\nLet $\\set{f_n}$ be an increasing (resp. decreasing) sequence of real valued functions in $\\mathcal L^1$ such that the integrals
\n[
\n\\int_X f_n\\rd\\mu
\n]
\nare bounded. Then $\\set{f_n}$ is a Cauchy sequence, and is both $\\mathcal L^1$ and almost everywhere convergent to some function $f\\in\\mathcal L^1$.
\n\\end{prop}
\n\\subsection{The Problem, Answer Environments}\\label{sec:6.2}
\nThe second group of environments are provided for discussion, after all, this is a discussion platform. They are: \\verb|prob| for Problem, \\verb|examp| for Example, and \\verb|answer| for Answer.
\nIt almost works the same as the first group, for example
\n\\begin{prob}[Egoroff’s theorem]
\nAssume that $\\mu$ is $\\sigma$-finite. Let $f:X\\to E$ be a map and assume that $f$ is the pointwise limit of a sequence of simple maps $\\set{\\varphi_n}$. Given $\\eps$, show that there exists a set $Z$ with $\\mu(Z)< \\eps$ such that the convergence of $\\set{\\varphi_n}$ is uniform on the complement of $Z$.
\n\\end{prob}
\nBut, the differences between them is that, the \\verb|answer| is numbered with \\verb|prob| (the \\verb|examp|, \\verb|excs|, \\verb|rem| will numbered independently), to see this, for example:
\n\\begin{answer}
\nAssume first that $\\mu(X)$ is finite. Let $A_k$ be the set where $|f|\\geq k$. The intersection of all $A_k$ is empty so their measures tend to $0$. Excluding a set of small measure, you can assume that $f$ is bounded, in which case $f$ is in $\\mathcal L^1(\\mu)$ and you can use the fundamental lemma of integration.
\n\\end{answer}
\n\\begin{answer}
\nThis is another answer for the problem.
\n\\end{answer}
\nYou should note that the number of answer is reset to 1 by \\verb|prob|, of course, more sensible. For example:
\n\\begin{prob}
\nWhy we should firstly process the positive measurable functions, then the real measurable functions and at last the complex measurable functions for the integral of measurable functions?
\n\\end{prob}
\n\\begin{answer}\\label{answer:2.1}
\nIn fact, you can define the integral of complex function directly.
\n\\end{answer}
\n\\subsection{The Exercise Environment}
\nMaybe, at somewhere, you want the reader consider about something, then you can use \\verb|excs| environment for Exercise. Please keep in mind that it will have independent numbering, just as \\verb|prob|, but will \\emph{not reset} the number of answer<\/em>. Here is an example:
\n\\begin{excs}
\nSuppose $(X,\\mu)$ is a measure space, and that $f$ is measurable, then $\\int_X f\\rd \\mu=0$ if and only if $f\\equiv0$ almost everywhere.
\n\\end{excs}
\n\\subsection{The Quote Environment}
\nSometimes, there are some words or comments on the content, it is like a remark, but it is not so formal. And, if you are write a lecture notes, these words may be the lecturer said before or after an important thing, such as theorems. I have defined a new environment \\verb|quote| to deal with these stuff. For example:
\nBefore the theorem
\n\\begin{thm}
\nLet $\\Omega\\subset\\R^n$ and $u:\\Omega\\to\\R$, then
\n\\begin{enumerate}
\n\\item If $u\\in C^2(\\Omega)$ is harmonic in $\\Omega$, then $u$ satisfies MVP;
\n\\item If $u\\in C(\\Omega)$ satisfies MVP, then $u$ is smooth and harmonic.
\n\\end{enumerate}
\n\\end{thm}
\nwe want to add a comment on it, then you can use the \\verb|quote| environment
\n\\begin{quote}
\nA function satisfying mean-value properties is only required to be continuous. However, a harmonic function is required to be $C^2$. Thus, the equivalence of this two kind of functions will be significant.
\n\\end{quote}
\n\\section{Auto Numbering and Referring Back}
\nThe plugin supports two groups of referring back, the first is for \\verb|section| and theorem environment e.g. \\verb|thm|. The second is done by mathjax, which support math formulae auto-numberring .
\n\\subsection{Auto Numbering and Referring Back to Equations}\\label{sec:6.1}
\nAll the \\verb|mathematical| environments: \\verb|equation|, \\verb|align|, \\verb|multline|, \\verb|gather| will auto-numbering. For example
\n\\begin{equation}\\begin{cases}
\n3=2x+y\
\n3=y+2x\\end{cases}
\n\\end{equation}
\nAn example of \\verb|multline|, which will make the last line flush right:
\n\\begin{multline}\\label{eq:2}
\n\\int_a^b \\biggl{ \\int_a^b [ f(x)^2 g(y)^2 + f(y)^2 g(x)^2 ]
\n-2f(x) g(x) f(y) g(y) \\,dx \\biggr} \\,dy \
\n=\\int_a^b \\biggl{ g(y)^2 \\int_a^b f^2 + f(y)^2
\n\\int_a^b g^2 – 2f(y) g(y) \\int_a^b fg \\biggr} \\,dy
\n\\end{multline}
\nThe next example will show how to numbered the equation at a given line with \\verb|\\tag{4.a}|:
\n\\begin{gather}
\n\\begin{split}
\n\\varphi(x,z)
\n&= z \u2013 \\gamma_{10} x \u2013 \\sum_{m+n\\ge2} \\gamma_{mn} x^m z^n\
\n&= z \u2013 M r^{-1} x \u2013 \\sum_{m+n\\ge2} M r^{-(m+n)} x^m z^n
\n\\end{split}\\tag{4.a}\\label{eq:4a}\
\n\\begin{split}
\n\\zeta^0 &= (\\xi^0)^2, \
\n\\zeta^1 &= \\xi^0 \\xi^1
\n\\end{split}\\notag
\n\\end{gather}
\n\\subsubsection{How to Refer back to Equation Number}
\nIf you want to refer the equation, you can add a label \\verb|\\label{eq:4a}|, and rerer as \\verb|\\eqref{eq:4a}|, it looks as \\eqref{eq:4a}.
\n\\subsubsection{My Suggestion on “How to Write Equations”}
\n\\begin{enumerate}
\n\\item if you use \\verb|>| or \\verb|<| for \\verb|greater| and \\verb|lesser| in math, please add a blank-space before \\verb|>| and a blank-space after \\verb|< |. Or you will make the HTML translation program confused, since \\emph{} are standard tags for HTML language(code).
\n\\item use\\verb|$$| for inline math
\n\\item use\\verb|[|\\verb|]| for oneline unnumbered display math
\n\\item use star version for multiline unnumbered display math, for example, use \\verb|gather*| environment for centered multiline equations
\n\\item use \\verb|equation| environment for oneline numbered display math
\n\\item use \\verb|align| environment for multiline numered display math, if you want make them aligned at some position( use & to set the point of align)
\n\\end{enumerate}
\n\\subsection{Auto Numbering and Referring Back to Environments}
\n\\subsubsection{Auto Numbering of Environments}\\label{sec:621}
\nAll the environments except \\verb|proof| are auto numbered by \\verb|latex2html|, and the \\verb|rem|, \\verb|prob|, \\verb|excs|, \\verb|claim| are numbered independently, what’s more, \\verb|answer|’s number will be reset by \\verb|prob|. The other environment will numbered continuously in one post (on one page, which means, if you use the \\verb|<!–nextpage–>| to have another page, then the number will all over begin from 1, if you consider this as an bug, sorry, I can’t fix it.)
\n\\subsubsection{Referring Back to Environments}
\nYou can refer to the \\verb|Theorem|, \\verb|Lemma|, \\verb|Corollary|, \\verb|Definition|, \\verb|Proposition|, \\verb|Remark|, \\verb|Problem|, \\verb|Exercise|, and \\verb|Answer| environments by:
\n\\begin{itemize}
\n\\item first add a \\verb|\\label{thm:labnum}|
\n\\item and use \\verb|\\autoref{thm:labnum}| or \\verb|\\ref{thm:labnum}| to refer back
\n\\end{itemize}
\nFrom \\autoref{defn:1} we know that…
\nFrom \\autoref{prop:4} we know that…
\nFrom \\autoref{answer:2.1} we know that…
\n\\subsection{Referring Back to Section}\\label{sec:7.3}
\nYou can use \\verb|\\autoref|\\verb|{sec:1}| to refer back to \\autoref{sec:1}, and \\verb|\\ref|\\verb|{sec:6.1}| to refer back to Subsection 1 of Section 6, which will looks like \\ref{sec:6.1}, and \\verb|\\autoref|\\verb|{sec:621}| to refer back to Subsubsection 1 of Subsection 2 of Section 6, which will looks like \\autoref{sec:621}.
\n\\section{BibTeX Citations}
\nThe main new feature of version 2.0.0 is add the BibTeX citation support. By which, you can cite references like in LaTeX.
\n\\subsection{How to Add BibTeX Data}
\nTo add the bibtex data, just turn to the \\verb|LaTeX2HTML| setting page, under the \\verb|BibTeX| table, you can paste you bibtex data into the input box.<\/p>\n
\n\\subsection{How to Cite}
\n\\verb|LaTeX2HTML| support \\verb|\\nocite|, \\verb|\\cite| and \\verb|\\citeauthor|, all of them require the exactly \\verb|bibkey| (which means \\verb||\\verb|nocite{*} |will not work and it is \\underline{case sensative}).<\/p>\n
\n\\section{Last Words and Feed Back}
\nThis document contains the usage of the plugin \\emph{latex2html}, and if you find any errors, or have any suggestions even bugs of the plugin, you can leave a word here, or sent a mail to me: \\mailto{van141.abel(at)gmail.com}.<\/p>\n
\n\\subsection{How to Jump Between Links}
\nIf you have just click on a link, then you can go back where you were just by \\emph{Alt+\u2190}
\n\\section{How to Get it?}
\nTo get it, visit the plugin in wordpress: https:\/\/wordpress.org\/plugins-wp\/latex2html\/<\/a>.<\/p>\n","protected":false},"excerpt":{"rendered":"