Mathematical formulas

2 Mathematical formulas

This section shows the use of mathematical formulas.

We start with a definition. There is no extra element for it, we use the remark element with class definition:

A positive integer is prime, if it has exactly two dividors:

$\begin{equation*} \text{$p$ is prime}\, \Leftrightarrow\,\forall i = 2\ldots p-1:\, i\not|p \end{equation*}$

For a theorem, we use a remark element with class theorem. We put it also on a slide:

The amount of prime numbers $content$ up to a number $content$ is approximately:

$\begin{equation*} \Pi(n) \approx \frac{n}{\ln n} \end{equation*}$

For inline formula use the element m (see slide 2.2). The element eq is used for block formulas. With class align multiline formulas are possible:

$\begin{align*} x_0 &= 1\\ x_1 &= 1\\ x_{n} &= x_{n-1}+x_{n-2} & n &= 2,\ldots \end{align*}$

The CDATA declaration is necessary to protect the & signs. If you add the id attribute, you can set a reference to this formula 2.2.