OAI/Probability/ContinuumTransition/RadialKernel.lean

GitHub source file

28 declarations, 0 contain sorry, 0 declared as axioms

  1. def OAI.ContinuumTemperature.shellDelta line 15
  2. def OAI.ContinuumTemperature.coreProfile line 17
  3. def OAI.ContinuumTemperature.baseKernel line 22
  4. theorem OAI.ContinuumTemperature.baseKernel_nonneg line 24
  5. theorem OAI.ContinuumTemperature.baseKernel_eq_one line 26
  6. theorem OAI.ContinuumTemperature.baseKernel_eq_zero line 30
  7. theorem OAI.ContinuumTemperature.contDiff_baseKernel line 34
  8. theorem OAI.ContinuumTemperature.hasCompactSupport_baseKernel line 51
  9. theorem OAI.ContinuumTemperature.integrable_baseKernel line 56
  10. theorem OAI.ContinuumTemperature.integral_baseKernel_pos line 59
  11. def OAI.ContinuumTemperature.kernelProfile line 69
  12. def OAI.ContinuumTemperature.kernel line 72
  13. theorem OAI.ContinuumTemperature.kernel_eq line 74
  14. theorem OAI.ContinuumTemperature.contDiff_kernel line 76
  15. theorem OAI.ContinuumTemperature.integral_kernel line 78
  16. theorem OAI.ContinuumTemperature.kernel_zero_outside line 82
  17. theorem OAI.ContinuumTemperature.kernelProfile_nonneg line 85
  18. theorem OAI.ContinuumTemperature.kernelProfile_le line 88
  19. theorem OAI.ContinuumTemperature.continuous_kernelProfile line 91
  20. theorem OAI.ContinuumTemperature.kernelProfile_zero line 96
  21. def OAI.ContinuumTemperature.scaledKernelProfile line 100
  22. theorem OAI.ContinuumTemperature.scaledKernelProfile_nonneg line 102
  23. theorem OAI.ContinuumTemperature.scaledKernelProfile_le line 106
  24. theorem OAI.ContinuumTemperature.scaledKernelProfile_zero line 112
  25. theorem OAI.ContinuumTemperature.continuous_scaledKernelProfile line 117
  26. def OAI.ContinuumTemperature.kernelHeight line 120
  27. theorem OAI.ContinuumTemperature.kernelHeight_pos line 122
  28. theorem OAI.ContinuumTemperature.scaledKernelProfile_le_height line 124