Displaying Math with MathJax

pkgsite uses MathJax to render mathematical notation in R Markdown vignettes. MathJax is a JavaScript display engine for mathematics that works in all modern browsers.

We can use LaTeX syntax to include mathematical expressions in our R Markdown documents. There are three main ways to include math in your text:

  1. Inline math: The expressions $E = mc^2$ (or \(E = mc^2\)) will render as \(E = mc^2\)

  2. Display math: The expressions $$E = mc^2$$ (or \[E = mc^2\]) will render as \[ E = mc^2 \]

  3. Math environments: You can use LaTeX math environments like equation, align, etc. For example, the code

     \begin{equation}
   E = mc^2
 \end{equation}

    will render as \[\begin{equation} E = mc^2 \end{equation}\]

More complex expressions can be created using standard LaTeX math syntax. For example:

\begin{align*}
% Normal distribution formula
f(x | \mu, \sigma^2) &= \frac{1}{\sqrt{2 \pi \sigma^2}} e^{-\frac{(x - \mu)^2}{2 \sigma^2}} \cr
% Sample mean and variance
\bar{x} &= \frac{1}{n} \sum_{i=1}^{n} x_i \cr
s^2 &= \frac{1}{n-1} \sum_{i=1}^{n} (x_i - \bar{x})^2
\end{align*}

\[\begin{align*} % Normal distribution formula f(x | \mu, \sigma^2) &= \frac{1}{\sqrt{2 \pi \sigma^2}} e^{-\frac{(x - \mu)^2}{2 \sigma^2}} \cr % Sample mean and variance \bar{x} &= \frac{1}{n} \sum_{i=1}^{n} x_i \cr s^2 &= \frac{1}{n-1} \sum_{i=1}^{n} (x_i - \bar{x})^2 \end{align*}\]

These more elegant expressions also work witn inline math mode, for example $\{a_{ij}\}_{m \times n}\$ renders as \(\{a_{ij}\}_{m \times n}\).

Other possibilities are begin{equation*} or any other described in the MathJax documentation.

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