This page uses two different methods to define macros: either putting them in JavaScript notation in the MathJax configuration, or in TeX notation in the body of the document.
Some math that uses the definitions: \[ f\colon\RR\to\RR^3 \hbox{ by } f(t)=\< t+1,{1\over 1+t^2}, \sqrt{t^2+1} > \] and \[ \{\,z\in\CC \mid z^2 = \bold{\alpha}\,\} \] and \[ \ddx{f} = \ddx[u]{f} \cdot \ddx{u} \] and \[ f\abc x,y \cba = x^2 + y^2 \]