Theorems · Definition · geometry

Affine.Simplex.faceOppositeCentroid

{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} → [NeZero n] → Affine.Simplex k P n → Fin (n + 1) → P

The faceOppositeCentroid is the centroid of the face opposite to the vertex indexed by i.

Defined in

Mathlib.LinearAlgebra.AffineSpace.Simplex.Centroid

Cited by

39 results in Mathlib

Foundations

Depth 75 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

DivisionRingAddCommGroupModuleAddTorsorNeZero