Theorems · Definition · geometry

Affine.Simplex.centroid

{k : Type u_1} →
  {V : Type u_2} →
    {P : Type u_3} →
      [inst : DivisionRing k] →
        [inst_1 : AddCommGroup V] →
          [inst_2 : Module k V] → [inst_3 : AddTorsor V P] → {n : ℕ} → Affine.Simplex k P n → P

The centroid of a simplex is the Finset.centroid of the set of all its vertices.

Defined in

Mathlib.LinearAlgebra.AffineSpace.Simplex.Centroid

Cited by

39 results in Mathlib

Foundations

Depth 56 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

DivisionRingAddCommGroupModuleAddTorsor