pymdownx.arithmatex

For maths lovers

The pymdownx.arithmatex extension is a Python-Markdown plugin that enables rendering of mathematical expressions written in LaTeX syntax.

Configuration

# mkdocs.yml

markdown_extensions:
  - pymdownx.arithmatex:
      generic: true # required to work

Note:

When pymdownx.arithmatex is enabled, the theme automatically loads KateX material to render math (css, js and fonts). Currently we ship the version v0.16.21.

NEW!

Now you can pass options to Katex (like macros). See the dedicated theme option for more details.

Syntax

Just like latex.

Let $F$ be a primitive of $f$,
$$
\int_{a}^b f(x) ~\dx = F(b) - F(a).
$$

Let \(F\) be a primitive of \(f\),

\[ \int_{a}^b f(x) ~ \dx = F(b) - F(a). \]

You can combine with admonition for instance.

!!! note "Theorem"

    Let $X_1, X_2, \dots, X_n$ be a sequence of independent and 
    identically distributed random variables with mean $\mu$ and 
    finite variance $\sigma^2$. Define the sample mean:

    $$
    \overline{X}_n = \frac{1}{n}\sum_{i=1}^{n} X_i
    $$

    Then, as  $n \to \infty$:

    $$
    \frac{\sqrt{n}(\overline{X}_n - \mu)}{\sigma} \xrightarrow{d} \mathcal{N}(0,1)
    $$

    In other words, the distribution of the standardized 
    sample mean approaches the standard normal distribution:

    $$
    \frac{\overline{X}_n - \mu}{\sigma/\sqrt{n}} \xrightarrow{d} \mathcal{N}(0,1), \quad \text{as } n \to \infty
    $$

Theorem

Let \(X_1, X_2, \dots, X_n\) be a sequence of independent and identically distributed random variables with mean \(\mu\) and finite variance \(\sigma^2\). Define the sample mean:

\[ \overline{X}_n = \frac{1}{n}\sum_{i=1}^{n} X_i \]

Then, as \(n \to \infty\):

\[ \frac{\sqrt{n}(\overline{X}_n - \mu)}{\sigma} \xrightarrow{d} \mathcal{N}(0,1) \]

In other words, the distribution of the standardized sample mean approaches the standard normal distribution:

\[ \frac{\overline{X}_n - \mu}{\sigma/\sqrt{n}} \xrightarrow{d} \mathcal{N}(0,1), \quad \text{as } n \to \infty \]