# 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.

The Quadratic Formula
x=−b±b 2−4 a c 2 a
Cauchy's Integral Formula
f ( a ) = 1 2 π i ∮ γ f ( z ) z − a d z
Double angle formula for Cosines
cos⁡(θ+φ)=cos⁡(θ)cos⁡(φ)−sin⁡(θ)sin⁡(φ)
Gauss' Divergence Theorem
∫D(∇⋅F)d V=∫∂D F⋅n d S
Curl of a Vector Field
∇→×F→=(∂F z∂y−∂F y∂z)i+(∂F x∂z−∂F z∂x)j+(∂F y∂x−∂F x∂y)k
Standard Deviation
σ=1 N∑i=1 N(x i−μ)2.
Definition of Christoffel Symbols
(∇X Y)k=X i(∇i Y)k=X i(∂Y k∂x i+Γ i m k Y m)