# Support for math formulas

Mathematical $\mathrm{\LaTeX}$ formulas are supported on this webpage via MathJax and/or KaTeX, powerful external Javascript libraries. We refer to their respective documentations for full details.

## KaTeX

• KaTeX renders math much faster, but it is under an active development and thus can render with errors

• To render with KaTeX, include the math formulas in a .md file in surrounding single dollars or \$$\$$ (for inline math), and double dollars or \$\$ (for display math)

• For example, code $\int_0^T t\,dt=\frac{T^2}2$ produces this: $\int_0^T t\,dt=\frac{T^2}2$.

• Display formula example: $\int_0^T W_t\,dW_t=\frac12\bigl(W_T^2-T^2\bigr).$

• To get display math with dollar signs one needs to use double dollars and put this math expression onto a separate line. Otherwise the math will render inline.

## MathJax

• The fallback mechanism is MathJaX, it is used to render the $\mathrm{\LaTeX}$ logos on this page, using the code <script type="math/tex">\mathrm{\LaTeX}</script>

• Display math can be done with MathJaX as <script type="math/tex; mode=display">\mathrm{\LaTeX}</script> as below:

• Complicated $\mathrm{\LaTeX}$ macros or whole mathematical texts pasted onto a page might not render correctly with either of the engines.