OAI/Geometry/RCD/Coordinates/RegularPairProjection.lean

GitHub source file

1 declarations, 0 contain sorry, 0 declared as axioms

The physical two-center projection size in the common coordinate map

  1. def OAI.RegularPointCoordinates.regularPairProjectionSize line 16

    Source documentation

    The actual normalized least-squares residual of the two replacements.

    def regularPairProjectionSize {K : ℝ} {n : ℕ}
    (hX : NoncollapsedRCD K n X) [(hausdorff n X).Regular]
    {base first center : X} {a κ B J C A Cχ enlargement zeta eta Cg D Ca : ℝ}
    {ker : ℝ → X → X → ℝ}
    {hk : IsContinuousHeatKernel (hausdorff n X) hX.quadratic ker}
    (e : RegularProjectionEnvironment hX base hk a κ B J C A Cχ enlargement zeta eta)
    (d1 : RegularCenterRadialData hX e.heat κ B J C A Cχ eta Cg D Ca first)
    (d2 : RegularCenterRadialData hX e.heat κ B J C A Cχ eta Cg D Ca center) (i : ℕ) : ℝ :=
…

    Mentions: OAI.RegularPointCoordinates.NoncollapsedRCD, OAI.RegularPointCoordinates.hausdorff, OAI.RegularPointCoordinates.IsContinuousHeatKernel, OAI.RegularPointCoordinates.RegularProjectionEnvironment, OAI.RegularPointCoordinates.RegularCenterRadialData