Mathematics

+ +

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

+ \begin{matrix} + \\ + & f (ϵ) = \frac{+}{1} \end{matrix}

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

+ \begin{matrix} + \\ + & N = \frac{+}{number of apples} \end{matrix}

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{matrix} + \\ + & + M = (+, + \begin{matrix} + \\ + & a & + & b \\ + \\ + & c & + & d \end{matrix}) \end{matrix}

is $+ | + M | = a d - b c$ .

More than one display math block can be put in one math directive. +For example, the following sum and integral with limits:

+ \begin{matrix} + \\ + & \int_{0}^{1} x^{n} d x = \frac{+}{1} \end{matrix}

+ \begin{matrix} + \\ + & \sum_{+}^{n = 1} n = \frac{+}{m (m + 1)} \end{matrix}

LaTeX-supported Unicode math symbols can be used in math roles and +directives:

The Schrödinger equation

+ \begin{matrix} + \\ + & i ℏ \frac{+}{\partial} Ψ = \overset{H}{+} Ψ, \end{matrix}

with the wave function $+ Ψ$ , describes how the quantum state of a +physical system changes in time.

Math-Accents:

+++++ + + + + + + + + + + + + + + + + + + +

$+ \overset{a}{+}$ \acute{a}	$+ \overset{t}{+}$ \dot{t}	$+ \overset{γ}{+}$ \hat{\gamma}
$+ \overset{a}{+}$ \grave{a}	$+ \overset{t}{+}$ \ddot{t}	$+ \overset{α}{+}$ \tilde{\alpha}
$+ \overset{x}{+}$ \breve{x}	$+ \overset{t}{+}$ \dddot{t}	$+ \overset{ı}{+}$ \vec{\imath}
$+ \overset{a}{+}$ \check{a}	$+ \overset{a}{+}$ \bar{a}	$+ \overset{R}{+}$ \vec{R}

+ +

Modulation Transfer Function:

+ \begin{matrix} + \\ + & MTF = |+, \frac{+}{ℱ {s (x)}}| = abs (+, \frac{+}{\int_{+}^{- \infty} s (x) e^{+ i ω_{+ x} x} d + x}) . \end{matrix}

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{matrix} + \\ + & s_{+ out} (x) & + & = s_{+ in} (x') * s_{δ} (x - x') \\ + \\ + & + & = \int s_{+ in} (x') s_{δ} (x - x') d x' \end{matrix}

Cases ("manually", with matrix environment):

+ \begin{matrix} + \\ + & sgn (x) = \{+, + \begin{matrix} + \\ + & - 1 & + & x < 0 \\ + \\ + & 1 & + & x > 0 \end{matrix} \end{matrix}

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}
+

Mathematics

- -

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

- \begin{matrix} - \\ - & f (ϵ) = \frac{-}{1} \end{matrix}

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

- \begin{matrix} - \\ - & N = \frac{-}{number of apples} \end{matrix}

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{matrix} - \\ - & - M = (-, - \begin{matrix} - \\ - & a & - & b \\ - \\ - & c & - & d \end{matrix}) \end{matrix}

is $- | - M | = a d - b c$ .

More than one display math block can be put in one math directive. -For example, the following sum and integral with limits:

- \begin{matrix} - \\ - & \int_{0}^{1} x^{n} d x = \frac{-}{1} \end{matrix}

- \begin{matrix} - \\ - & \sum_{-}^{n = 1} n = \frac{-}{m (m + 1)} \end{matrix}

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

The Schrödinger equation

- \begin{matrix} - \\ - & i ℏ \frac{-}{\partial} Ψ = \overset{H}{-} Ψ, \end{matrix}

with the wave function $- Ψ$ , describes how the quantum state of a -physical system changes in time.

Math-Accents:

----- - - - - - - - - - - - - - - - - - - -

$- \overset{a}{-}$ \acute{a}	$- \overset{t}{-}$ \dot{t}	$- \overset{γ}{-}$ \hat{\gamma}
$- \overset{a}{-}$ \grave{a}	$- \overset{t}{-}$ \ddot{t}	$- \overset{α}{-}$ \tilde{\alpha}
$- \overset{x}{-}$ \breve{x}	$- \overset{t}{-}$ \dddot{t}	$- \overset{ı}{-}$ \vec{\imath}
$- \overset{a}{-}$ \check{a}	$- \overset{a}{-}$ \bar{a}	$- \overset{R}{-}$ \vec{R}

- -

Modulation Transfer Function:

- \begin{matrix} - \\ - & MTF = |-, \frac{-}{ℱ {s (x)}}| = abs (-, \frac{-}{\int_{-}^{- \infty} s (x) e^{- i ω_{- x} x} d - x}) . \end{matrix}

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{matrix} - \\ - & s_{- out} (x) & - & = s_{- in} (x') * s_{δ} (x - x') \\ - \\ - & - & = \int s_{- in} (x') s_{δ} (x - x') d x' \end{matrix}

Cases ("manually", with matrix environment):

- \begin{matrix} - \\ - & sgn (x) = \{-, - \begin{matrix} - \\ - & - 1 & - & x < 0 \\ - \\ - & 1 & - & x > 0 \end{matrix} \end{matrix}

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}
-