Mathematical 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 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.
The fallback mechanism is MathJaX, it is used to render the 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 macros or whole mathematical texts pasted onto a page might not render correctly with either of the engines.