Exemples MathML

$\nabla ·E=\frac{\rho }{{\epsilon }_0}\text{ ; }\nabla \times E=-\frac{\partial B}{\partial t}\text{ ; }{c}^2\nabla \times B=\frac{\partial E}{\partial t}+\frac{j}{{\epsilon }_0}\text{ ; }\nabla ·B=0$

$F\left(y\right)=\frac{1}{2\pi }{\int }_{-\infty }^{\sqrt{y}}\left(\sum _{k=1}^n{\sin }^2{x}_k\left(t\right)\right)f\left(t\right)\mathrm{dt}$

$C_m\left(t\right)=e^{-\frac{i}{h}{E}_{m}t}a\frac{{\left(\frac{\mathrm{dV}}{\mathrm{da}}\right)}_{m0}}{E_m-E_0}\frac{e^{\frac{i}{h}(E_m-E_0)t}-1}{\frac{i}{h}(E_m-E_0)}$

$G\left(z\right)=\exp \left(\sum _{k=1}^{\infty }\frac{S_k{z}^k}{k}\right)=\prod _{k=1}^{\infty }{e}^{\raisebox{1ex}{$S_k{z}^k$}\!\left/ \!\raisebox{-1ex}{$k$}\right.}$

$\int \frac{\mathrm{dx}}{a{e}^{mx}-b{e}^{mx}}=\frac{1}{2m\sqrt{ab}}\log \frac{\sqrt{a}{e}^{mx}-\sqrt{b}}{\sqrt{a}{e}^{-mx}+\sqrt{b}}=\frac{1}{m\sqrt{ab}}{\tanh }^{-1}\left(\frac{\sqrt{a}}{\sqrt{b}}{e}^{mx}\right)$