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build.test.functional.expected.math_output_mathml.xhtml Maven / Gradle / Ivy

Mathematics

Docutils supports inline math with the prefix or postfix :math:
role specificator, $n!+sin\left(x_n^2\right)$ and $A_{\text{c}}=\frac{\pi }{4}{d}^2$, as well as displayed math via the
math directive:

$$\begin{array}{c}f\left(ϵ\right)=\frac{1}{1+exp\left(\frac{\epsilon }{k_{\text{B}}T}\right)}\end{array}$$

Content may start on the first line of the directive, e.g.

$$\begin{array}{c}N=\frac{\text{number of apples}}{7}\end{array}$$

Equations can be labeled with a reference name using the :name: option.
See eq:M and eq:schrödinger below.
The determinant of the matrix

$$\begin{array}{c}M=\left(\begin{array}{cc}a& b\\ c& d\end{array}\right)\end{array}$$

is $\left|M\right|=ad-bc$.
More than one display math block can be put in one math directive.
For example, the following sum and integral with limits:

$$\begin{array}{c}\underset{0}{\overset{1}{\int }}{x}^{n}dx=\frac{1}{n+1}\end{array}$$


$$\begin{array}{c}\sum _{n=1}^{m}n=\frac{m(m+1)}{2}\end{array}$$

LaTeX-supported Unicode math symbols can be used in math roles and
directives:
The Schrödinger equation

$$\begin{array}{c}i\hslash \frac{\partial }{\partial t}\Psi =\hat{H}\Psi ,\end{array}$$

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}

$\stackrel{`}{a}$      \grave{a}
$\ddot{t}$       \ddot{t}
$\tilde{\alpha }$ \tilde{\alpha}

$\breve{x}$      \breve{x}
$\stackrel{⃛}{t}$      \dddot{t}
$\vec{ı}$   \vec{\imath}

$\check{a}$      \check{a}
$\overline{a}$        \bar{a}
$\vec{R}$        \vec{R}






Modulation Transfer Function:

$$\begin{array}{c}\text{MTF}=\left|\frac{ℱ\left\{s\right(x\left)\right\}}{ℱ\left\{s\right(x\left)\right\}{|}_{{\omega }_x=0}}\right|=\text{abs}\left(\frac{\underset{-\infty }{\overset{\infty }{\int }}s\left(x\right){\text{e}}^{\text{i}{\omega }_{x}x}\text{d}x}{\underset{-\infty }{\overset{\infty }{\int }}s\left(x\right)\text{d}x}\right).\end{array}$$

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:

$$\begin{array}{cc}{s}_{\text{out}}\left(x\right)& =s_{\text{in}}(x\text{'})*s_{\delta }(x-x\text{'})\\ & =\int s_{\text{in}}(x\text{'})s_{\delta }(x-x\text{'})\text{d}x\text{'}\end{array}$$

Cases ("manually", with matrix environment):

$$\begin{array}{c}\text{sgn}\left(x\right)=\left\{\begin{array}{cc}-1& x<0\\ 1& x>0\end{array}\right.\end{array}$$

Cases with the AMSmath cases environment (not (yet) supported by
HTML writers with --math-output=MathML):

System Message: ERROR/3 (functional/input/data/math.txt, line 108)

Environment not supported! Supported environment: "matrix".
\mathrm{sgn}(x) = \begin{cases}
                    -1 & x<0\\
                     1 & x>0
                  \end{cases}