\documentclass[12pt]{amsart}
\usepackage{amssymb}
\usepackage{latexsym}
\title{The trap for \LaTeX\ convertors}
\author{Sergej V. Znamenskij}
\email{svz@latex.pereslavl.ru}
\begin {document}
\maketitle

This file contains absolutely legal and ordinary (thought somevhere miningless) 
mathematical constructions in \LaTeX\ text to facilitate visual
detection of image alignement algorithm flaws in \LaTeX\ to HTML convertion.

\section {Lines alignement problem}
The problem comes with the large height and (or) depth formulae. 
Usually such a formula as $x_s^{\int\limits_a^{N^1}\, dx}$ for example has
larger height, then depth. As a corollary, converto may add inproper large gap (vskip) before the next
line. The case of equal height and width $\left(x_s^{\int\limits_a^{N^1}\, dx}\right)$ is more controllable, 
as far as we do not try to get images scaled togater with text changing.
The most rare and difficult situation is a formula with a large depth, but a very small height: 
$y=1-\dfrac{\alpha}{1-\dfrac{2}{3-\dfrac{4}{5-x}}}$.
I will appreciate any idea to keep proper interline distance in such a case without 
additional vskip over this formula thought suppoce it to be impossible: I failed to find a hint in html 
specifications how to force browser to leave a proper place lower image witout extra gup over it. 

\section {Inline alignement problems}All dots in the line are to be exactly alighned for any browser and selected text size.

.$.\sum\limits^n1.$.$.\prod\limits_n2.$.$.\dfrac{\alpha\otimes\mu}{\gamma}.$.$.1.$.$.\dfrac {\rightharpoonup}{A\otimes B}.$.

The simple convertion algorithm can fail due to the following reasons:
\begin {itemize} 
\item HTML lacks opportunity to reproduce \LaTeX\ layout directly;
\item Some kind of HTML markup has different visual representation in different browser versions;  
\item Usable image convertion libraries and tools do not care reference point position in the image while cropping;
\item \LaTeX\ box dimensions (width, height and depth) \textbf{usually differs} from its visual width, height, or depth. 
\end {itemize}


\end {document}
