def definition def or abbrev

`gapAffineLogR`

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

formal statement (Lean)

  38def gapAffineLogR (a b c x : ℝ) : ℝ :=

proof body

Definition body.

  39  a * Real.log (1 + x / b) + c
  40
  41/-- Integer specialization of the affine-log family. -/

used by (18)

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

affine_log_collapses_from_three_point_calibration in IndisputableMonolith.Masses.GapFunctionForcing decl_use
affine_log_collapses_to_canonical_gap in IndisputableMonolith.Masses.GapFunctionForcing decl_use
affine_log_parameters_forced_by_three_point_calibration in IndisputableMonolith.Masses.GapFunctionForcing decl_use
affine_log_unique_under_normalizations in IndisputableMonolith.Masses.GapFunctionForcing decl_use
gapAffineLog in IndisputableMonolith.Masses.GapFunctionForcing decl_use
minus_one_step_forces_phi_shift in IndisputableMonolith.Masses.GapFunctionForcing decl_use
three_point_affine_log_closure in IndisputableMonolith.Masses.GapFunctionForcing decl_use
unit_step_forces_log_scale in IndisputableMonolith.Masses.GapFunctionForcing decl_use
zero_normalization_forces_offset in IndisputableMonolith.Masses.GapFunctionForcing decl_use
affine_log_collapses_to_gap in IndisputableMonolith.RSBridge.GapFunctionForcing decl_use
affine_log_parameters_forced in IndisputableMonolith.RSBridge.GapFunctionForcing decl_use
gapAffineLog in IndisputableMonolith.RSBridge.GapFunctionForcing decl_use
gapAffineLogR in IndisputableMonolith.RSBridge.GapFunctionForcing decl_use
minus_one_step_forces_phi_shift in IndisputableMonolith.RSBridge.GapFunctionForcing decl_use
three_point_closure in IndisputableMonolith.RSBridge.GapFunctionForcing decl_use
three_point_forces_canonical_gap in IndisputableMonolith.RSBridge.GapFunctionForcing decl_use
unit_step_forces_log_scale in IndisputableMonolith.RSBridge.GapFunctionForcing decl_use
zero_normalization_forces_offset in IndisputableMonolith.RSBridge.GapFunctionForcing decl_use

depends on (6)

Lean names referenced from this declaration's body.

of in IndisputableMonolith.Astrophysics.NucleosynthesisTiers decl_use
of in IndisputableMonolith.Foundation.DAlembert.LedgerFactorization decl_use
of in IndisputableMonolith.Foundation.PhiForcingDerived decl_use
of in IndisputableMonolith.Foundation.SpectralEmergence decl_use
of in IndisputableMonolith.Information.PhysicsComplexityStructure decl_use
gapAffineLogR in IndisputableMonolith.RSBridge.GapFunctionForcing decl_use