Some math Formulas
This is just a sample document with quite a few math formulas.
Insert inline math: A=πr2
(x+a)n=∑nk=0(nk)xkan−k
(1+x)n=1+nx1!+n(n−1)x22!+…
f(x)=a0+∑∞n=1(ancosnπxL+bnsinnπxL)
12π∫2π0dθa+bsinθ=1√a2−b2
⎛⎜⎝U(t)V(t)W(t)⎞⎟⎠=⎛⎜⎝1000cosRt−sinRt0sinRtcosRt⎞⎟⎠⎛⎜⎝U(0)V(0)W(0)⎞⎟⎠
n√an={a, n odd|a|, n even
limn→∞(1+1n)n=e
a1/n=n√a
∇⋅∇ψ=∂2ψ∂x2+∂2ψ∂y2+∂2ψ∂z2=1r2sinθ[sinθ∂∂r(r2∂ψ∂r)+∂∂θ(sinθ∂ψ∂θ)+1sinθ∂2ψ∂φ2]
f(a)=12πi∮f(z)z−adz
∫S∇×F⋅dS=∮CF⋅dr
A⋅B×C=A×B⋅C=∣∣
∣
∣∣AxAyAzBxByBzCxCyCz∣∣
∣
∣∣
∃x(Person(x)∧∀y(Time(y)→Happy(x,y)))
f(z)=∑∞n=0f(n)(a)n!(z−a)n