OAI/MathematicalPhysics/ContinuumCoulomb/Nuclei/GaussLocal.lean

GitHub source file

11 declarations, 0 contain sorry, 0 declared as axioms

Local versions of tensor cubature: regularity is only needed on the integration cube, which may be far from a Coulomb singularity.

  1. def OAI.ContinuumCoulomb.unitClamp line 12
  2. theorem OAI.ContinuumCoulomb.unitClamp_mem line 14
  3. theorem OAI.ContinuumCoulomb.unitClamp_eq line 19
  4. theorem OAI.ContinuumCoulomb.unitClamp_continuous line 22
  5. def OAI.ContinuumCoulomb.unitCube3 line 25
  6. theorem OAI.ContinuumCoulomb.gaussTwoPoint_congr_on line 28
  7. theorem OAI.ContinuumCoulomb.unitInterval_integral_congr line 36
  8. theorem OAI.ContinuumCoulomb.gaussTensor3_congr_on line 42
  9. theorem OAI.ContinuumCoulomb.unitCube_integral_congr line 53
  10. theorem OAI.ContinuumCoulomb.gaussTensor3_error_on_cube line 64
  11. theorem OAI.ContinuumCoulomb.gaussTensor3_C4_error_on_cube line 110