OAI/Geometry/ProjectionBodies/Model.lean
11 declarations, 0 contain sorry, 0 declared as axioms
- abbrev
OAI.PettyProjection.Spaceline 11Also declared: ComparatorChallenges/PettyProjectionVolume.lean:11 (same declaration text).
- def
OAI.PettyProjection.IsConvexBodyline 13Also declared: ComparatorChallenges/PettyProjectionVolume.lean:13 (same declaration text).
- def
OAI.PettyProjection.unitBallline 16Also declared: ComparatorChallenges/PettyProjectionVolume.lean:16 (same declaration text).
- def
OAI.PettyProjection.kappaline 18Also declared: ComparatorChallenges/PettyProjectionVolume.lean:18 (same declaration text).
- def
OAI.PettyProjection.perpendicularline 20Also declared: ComparatorChallenges/PettyProjectionVolume.lean:20 (same declaration text).
- def
OAI.PettyProjection.shadowVolumeline 24Source documentation
Volume in the induced Euclidean structure on the orthogonal hyperplane.
Also declared: ComparatorChallenges/PettyProjectionVolume.lean:24 (same declaration text).
def shadowVolume {n : ℕ} (K : Set (Space n)) (u : Space n) : ℝ := …Mentions: OAI.PettyProjection.Space
- def
OAI.PettyProjection.projectionBodyline 30Source documentation
The body with support function equal to the volumes of orthogonal shadows, expressed as its defining intersection of supporting half-spaces.
Also declared: ComparatorChallenges/PettyProjectionVolume.lean:30 (same declaration text).
def projectionBody {n : ℕ} (K : Set (Space n)) : Set (Space n) := …Mentions: OAI.PettyProjection.Space
- def
OAI.PettyProjection.projectionRatioline 33Also declared: ComparatorChallenges/PettyProjectionVolume.lean:33 (same declaration text).
- def
OAI.PettyProjection.pettyConstantline 36Also declared: ComparatorChallenges/PettyProjectionVolume.lean:36 (same declaration text).
- def
OAI.PettyProjection.IsEllipsoidline 39Also declared: ComparatorChallenges/PettyProjectionVolume.lean:39 (same declaration text).
- def
OAI.PettyProjection.MainClaimline 43