Some math Formulas

This is just a sample document with quite a few math formulas.

Insert​​ inline​​ math:​​ A=πr2

x+an=∑k=0nnkxkan-k

1+xn=1+nx1!+nn-1x22!+…

fx=a0+∑n=1∞ancos⁡nπxL+bnsin⁡nπxL

12π∫02πdθa+bsin⁡θ=1a2-b2

UtVtWt=1000cos⁡Rt-sin⁡Rt0sin⁡Rtcos⁡RtU0V0W0

ann=a,  n odda,  n even

limn→∞⁡1+1nn=e

a1n=an

∇⋅∇ψ=∂2ψ∂x2+∂2ψ∂y2+∂2ψ∂z2=1r2sin⁡θsin⁡θ∂∂rr2∂ψ∂r+∂∂θsin⁡θ∂ψ∂θ+1sin⁡θ∂2ψ∂φ2

fa=12πi∮fzz-adz

∫S∇×F⋅dS=∮CF⋅dr

A⋅B×C=A×B⋅C=AxAyAzBxByBzCxCyCz

∃xPersonx∧∀yTimey→Happyx,y

fz=∑n=0∞fnan!z-an