Theorems · Definition · convex and discrete geometry

Finset.centerMass

{R : Type u_1} →
  {E : Type u_3} →
    {ι : Type u_5} → [inst : Field R] → [inst_1 : AddCommGroup E] → [Module R E] → Finset ι → (ι → R) → (ι → E) → E

Center of mass of a finite collection of points with prescribed weights. Note that we require neither 0 ≤ w i nor ∑ w = 1.

Defined in

Mathlib.Analysis.Convex.Combination

Cited by

49 results in Mathlib

Foundations

Depth 45 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

FieldAddCommGroupModule