Wrapper to various common LaTeX mathematics packages, including the AMS LaTeX bundle
Timothy Rice 184ba1b2c0 Begin adding operators for probabilistic notation. | 8 سال پیش | |
---|---|---|
LICENSE.md | 8 سال پیش | |
README.md | 8 سال پیش | |
omnimath.sty | 8 سال پیش |
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.On Unix:
ln -sv /path/to/latex-omnimath/omnimath.sty ~/texmf/tex/latex/
~~~{.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}