MathML Samples

This page contains sample equations represented by MathML markup. The page has been configured to always use HTML-CSS mode with web fonts to display the equations, which produces uniform layout and typesetting across browsers.

Note that MathJax can also be configured to use native MathML rendering when available in a browser, and only fall back to HTML-CSS mode when native rendering is not available.

Select the rendering mode:   MathML HTML-CSS SVG

$$x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}$$ $$f\left(a\right)=\frac{1}{2\mathrm{\pi <!--\; \pi \; -->}i}{\oint }_{\gamma }\frac{f\left(z\right)}{z-a}dz$$ $$\cos (\theta +\phi )=\cos \left(\theta \right)\cos \left(\phi \right)-\sin \left(\theta \right)\sin \left(\phi \right)$$ $${\int }_D(\nabla \cdot F)dV={\int }_{\partial D}F\cdot ndS$$ $$\overrightarrow{\nabla }\times \overrightarrow{F}=(\frac{\partial F_z}{\partial y}-\frac{\partial F_y}{\partial z})i+(\frac{\partial F_x}{\partial z}-\frac{\partial F_z}{\partial x})j+(\frac{\partial F_y}{\partial x}-\frac{\partial F_x}{\partial y})k$$ $$\sigma =\sqrt{\frac{1}{N}{\displaystyle \sum _{i=1}^N{(x_i-\mu )}^2}}.$$ $${\left({\nabla }_{X}Y\right)}^k=X^i{({\nabla }_{i}Y)}^k=X^i(\frac{\partial Y^k}{\partial x^i}+{\Gamma }_{im}^k{Y}^m)$$