Arithmetic mean

x⃗̄:=÷{1}{n}⋅Σ_{i=1}^{n} x_i

Geometric mean

x⃗̄_{geom}:=√[n]{Π_{i=1}^n x_i}

Harmonic mean

÷{n}{x⃗̄_{harmonisch}}={Σ_{i=1}^{n} ÷{1}{x_i}}

Simpler:

÷{1}{x⃗̄_{harmonisch}}=\overline{map(λv:÷{1}{v},x⃗)}

Average of functions

f̄:=÷{1}{b-a}⋅∫_{a}^{b} f(x)⋅dx