OAI/Analysis/AffineBernstein/ConvexSmoothMax.lean

GitHub source file

10 declarations, 0 contain sorry, 0 declared as axioms

  1. lemma OAI.AffineBernstein.hessian_sub_on line 15
  2. lemma OAI.AffineBernstein.hessian_convex_smooth_max line 24
  3. lemma OAI.AffineBernstein.posDef_convex_combination line 48
  4. lemma OAI.AffineBernstein.hessian_convex_smooth_max_posDef line 56
  5. def OAI.AffineBernstein.capQuadratic line 72

    Source documentation

    The exact quadratics used in the positive-cap comparison.

    def capQuadratic {n : ℕ} (c : Space n) (b α : ℝ) (x : Space n) : ℝ :=
    …

    Mentions: OAI.AffineBernstein.Space

  6. lemma OAI.AffineBernstein.capQuadratic_smooth line 75
  7. lemma OAI.AffineBernstein.dirDeriv_capQuadratic line 81
  8. lemma OAI.AffineBernstein.hessian_capQuadratic line 89
  9. lemma OAI.AffineBernstein.hessian_capQuadratic_posDef line 106
  10. lemma OAI.AffineBernstein.affineAreaDensity_capQuadratic line 111