latex-omnimath

LaTeX Omnimath

A wrapper for common mathematical packages including amsmath, amsthm, amssymb, amsfont and mathrsfs.

Omnimath defines some common environments such as Theorem and Definition, and declares some common operators:

• \diff for an upright differential operator;
• \deriv for Liebniz-style derivatives with upright differential operators.

Installation

On Unix:

ln -sv /path/to/latex-omnimath/omnimath.sty ~/texmf/tex/latex/

Sample file

~~~{.tex} \documentclass{article} \usepackage{omnimath}

\begin{document}

\section{Measure Theory}

\begin{theorem}[Radon-Nikodym] Let $\mathscr{M} = \left(\Omega, \mathcal{F}\right)$ be a measurable space, and let $\mu$ be a $\sigma$-finite measure on $\mathscr{M}$.

If a measure $\nu$ on $\mathscr{M}$ is absolutely continuous with respect to $\mu$ then there exists a measurable function $X: \Omega \rightarrow [0,\infty)$ such that for all events $A \in \mathcal{F}$,

[ \nu(A) = \int_A X\diff\mu. ] \end{theorem}

\begin{notation}[Radon-Nikodym derivative]

The above measurable function $X$ is called the \emph{Radon-Nikodym derivative}
of $\nu$ with respect to $\mu$, suggesting the notation,

\[ X = \deriv{\nu}{\mu}. \]

\end{notation}

\end{document}