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2. Demo for MathML Codes

In this chapter, the original code is MathML. If you are using a mouse, you may show the code by right-click on a formula.

The Quadratic Formula

x=b±b24ac2a

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)dV=DFndS

Curl of a Vector Field

×F=(FzyFyz)i+(FxzFzx)j+(FyxFxy)k

Standard Deviation

σ=1Ni=1N(xiμ)2.

Definition of Christoffel Symbols

(XY)k=Xi(iY)k=Xi(Ykxi+ΓimkYm)