def definition def or abbrev

`unitSphereSurface`

No prose has been written for this declaration yet. The Lean source and graph data below render without it.

formal statement (Lean)

  47noncomputable def unitSphereSurface (D : ℕ) : ℝ :=

Definition body.

  48  2 * Real.pi ^ ((D : ℝ) / 2) / Real.Gamma ((D : ℝ) / 2)
  49
  50/-- For D = 3, the unit sphere surface area is 4π. -/

From the project-wide theorem graph. These declarations reference this one in their body.

four_pi_unique_for_D3 in IndisputableMonolith.Constants.SolidAngleExclusivity decl_use
isotropic_measure_unique_principle in IndisputableMonolith.Constants.SolidAngleExclusivity decl_use
solidAngle_is_sphere_area in IndisputableMonolith.Constants.SolidAngleExclusivity decl_use
unitSphereSurface_D2 in IndisputableMonolith.Constants.SolidAngleExclusivity decl_use
unitSphereSurface_D3 in IndisputableMonolith.Constants.SolidAngleExclusivity decl_use

Lean names referenced from this declaration's body.

is in IndisputableMonolith.Foundation.OptionAEmpiricalProgram decl_use
is in IndisputableMonolith.Foundation.SimplicialLedger.EdgeLengthFromPsi decl_use
is in IndisputableMonolith.GameTheory.MechanismDesignFromSigma decl_use
is in IndisputableMonolith.Mathematics.RamanujanBridge.MockThetaPhantom decl_use