Definitive answer to org-mode export HTML versus LaTeX

[Lawrence Bottorff <borgauf@gmail.com>]

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I keep being stymied by the apparent incompatibility of HTML and LaTeX
export. Here's what I have in my .org file header:

#+LATEX_CLASS: article
#+LATEX_CLASS_OPTIONS: [american]
#+LATEX_HEADER: \usepackage{tikz}
#+LATEX_HEADER: \usepackage{commath}
#+LATEX_HEADER: \usepackage{stackengine}
#+LaTeX_HEADER: \usepackage{pgfplots}
#+LaTeX_HEADER: \usepackage{sansmath}
#+LATEX_HEADER: \usepackage{mathtools}
#+LaTeX_HEADER: \usepackage{amsmath}

In reality, I don't know if this gets seen by org-mode export to HTML,
perhaps by export to LaTeX? So to start, here is working piece of markup
that displays great in both HTML and LaTeX:

#+begin_src latex :packages '(("" "tikz")) :exports results :results output
raw :file other12.png :imagemagick yes :iminoptions -density 600
:imoutoptions -geometry 500

\usetikzlibrary{decorations.pathreplacing}

  \begin{tikzpicture}[scale=1]
    \draw[step=1cm,thin,gray!60] (-6,-6) grid (6,6);
    \draw[<->] (-6,0)--(6,0) node[right]{$x$};
    \draw[<->] (0,-6)--(0,6) node[above]{$y$};
    \draw[line width=2pt,blue,-stealth](0,0)--(4,-3) node[anchor=south
west]{$\boldsymbol{(4,-3)}$};
    \draw[line width=2pt,gray,-stealth](2,3)--(6,0) node[anchor=south west];
    \draw[line width=2pt,gray,-stealth](-5,4)--(-1,1) node[anchor=south
west];
    \draw[line width=2pt,gray,-stealth](-3,-1)--(1,-4) node[anchor=south
west];
\draw
[decorate,color=red,decoration={brace,amplitude=10pt},xshift=-0pt,yshift=0pt]
(-5.0,1.0) -- (-5.0,4.0) node [red,midway,xshift=-0.65cm]
{\footnotesize $-3$};
    \draw
[decorate,color=red,decoration={brace,amplitude=10pt,mirror,raise=1pt},xshift=-0pt,yshift=0pt]
(-5,1) -- (-1,1) node [red,midway,yshift=-0.6cm] {\footnotesize $4$};
  \end{tikzpicture}

#+end_src

The following also displays in both HTML and LaTeX correctly:

\begin{align*}
\|x\|&=\sqrt{4^2+(-3)^2} \\
&= \sqrt{25} \\
&= 5
\end{align*}
as well as this:

\begin{equation*}
    x = \begin{pmatrix}
        \phantom{-} 4 \\
           -3 \\
        \end{pmatrix}
 \end{equation*}

but this on the HTML side

\setstackEOL{\\}
\begin{equation*}
x=\parenVectorstack[r]{4\\-3\\2}
\end{equation*}

doesn't know what \setstackEOL{\\} is, nor \parenVectorstack[r] and
displays mangled. The LaTeX export looks fine, though. And if I put it in a
LaTeX babel code block, it disappears from the HTML entirely, while, again,
the LaTeX export displays just fine. Confusing is how the Tikz code block
is displayed in both HTML and LaTeX, but any other attempt at a LaTeX code
block is ignored and left completely out of the HTML export.

My educated guess is that the org-mode HTML export processes is handled by
MathJax, which is a subset of LaTeX. But then I'd like to know definitively
what can be done and what cannot be done LaTeX-wise for the HTML export.

LB

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