build.test.functional.expected.math_output_mathjax.html Maven / Gradle / Ivy
Mathematics
Mathematics
Docutils supports inline math with the prefix or postfix :math:
role specificator,
\(n! + \sin(x_n^2)\)
and
\(A_\text{c} =
\frac{\pi}{4} d^2\)
, as well as displayed math via the
math directive:
\begin{equation*}
f(\epsilon) = \frac{1}{1 + \exp\left(\frac{\varepsilon}{k_\text{B}T}\right)}
\end{equation*}
Content may start on the first line of the directive, e.g.
\begin{equation*}
N = \frac{\text{number of apples}}{7}
\end{equation*}
Equations can be labeled with a reference name using the :name: option.
See eq:M and eq:schrödinger below.
The determinant of the matrix
\begin{equation*}
\mathbf{M} = \left(\begin{matrix}a&b\\c&d\end{matrix}\right)
\end{equation*}
is
\(|\mathbf{M}| = ad - bc\)
.
More than one display math block can be put in one math directive.
For example, the following sum and integral with limits:
\begin{equation*}
\int_0^1 x^n dx = \frac{1}{n + 1}
\end{equation*}
\begin{equation*}
\sum_{n=1}^m n = \frac{m(m+1)}{2}
\end{equation*}
LaTeX-supported Unicode math symbols can be used in math roles and
directives:
The Schrödinger equation
\begin{equation*}
i\hbar \frac{\partial }{\partial t}\Psi = \hat{H}\Psi ,
\end{equation*}
with the wave function
\(\Psi \)
, describes how the quantum state of a
physical system changes in time.
- Math-Accents:
\(\acute{a}\)
\acute{a}
\(\dot{t}\)
\dot{t}
\(\hat{\gamma}\)
\hat{\gamma}
\(\grave{a}\)
\grave{a}
\(\ddot{t}\)
\ddot{t}
\(\tilde{\alpha}\)
\tilde{\alpha}
\(\breve{x}\)
\breve{x}
\(\dddot{t}\)
\dddot{t}
\(\vec{\imath}\)
\vec{\imath}
\(\check{a}\)
\check{a}
\(\bar{a}\)
\bar{a}
\(\vec{R}\)
\vec{R}
Modulation Transfer Function:
\begin{equation*}
\text{MTF} = \left|\frac{\mathcal{F}\{s(x)\}}
{\mathcal{F}\{ s(x)\} |_{\omega _{x}=0}}\right|
= \mathrm{abs}\left(\frac
{\int _{-\infty }^{\infty }s(x) \mathrm{e}^{\mathrm{i}\omega _{x}x}\mathrm{d}{x}}
{\int _{-\infty }^{\infty }s(x)\mathrm{d}{x}}
\right).
\end{equation*}
Math split over two lines: If a double backslash is detected outside a
\begin{...} \end{...} pair, the math code is wrapped in an AMSmath
align environment:
\begin{align*}
s_{\mathrm{out}}(x) & = s_{\mathrm{in}}(x') * s_\delta (x-x') \\
& = \int s_{\mathrm{in}}(x')s_\delta (x-x')\mathrm{d}x'
\end{align*}
Cases ("manually", with matrix environment):
\begin{equation*}
\mathrm{sgn}(x) = \left\{\begin{matrix}
-1 & x<0\\
1 & x>0
\end{matrix}\right.
\end{equation*}
Cases with the AMSmath cases environment (not (yet) supported by
HTML writers with --math-output=MathML):
\begin{equation*}
\mathrm{sgn}(x) = \begin{cases}
-1 & x<0\\
1 & x>0
\end{cases}
\end{equation*}