OAI/MathematicalPhysics/Boltzmann/Branching/NormalReflectionGeometry.lean

GitHub source file

9 declarations, 0 contain sorry, 0 declared as axioms

The exact reflected relative direction in the hard-sphere angular map

  1. def OAI.BoltzmannNonuniqueness.normalReflectionVector line 14
  2. theorem OAI.BoltzmannNonuniqueness.normalReflectionVector_norm line 16
  3. def OAI.BoltzmannNonuniqueness.normalReflection line 25
  4. theorem OAI.BoltzmannNonuniqueness.normalReflection_measurable line 31
  5. theorem OAI.BoltzmannNonuniqueness.normalReflection_neg_normal line 35
  6. theorem OAI.BoltzmannNonuniqueness.normalReflection_relative_scatter line 40
  7. theorem OAI.BoltzmannNonuniqueness.normalReflection_relative_scatter_right line 45
  8. theorem OAI.BoltzmannNonuniqueness.normalReflectionVector_smul line 50
  9. theorem OAI.BoltzmannNonuniqueness.normalReflection_child line 56