OAI/MathematicalPhysics/NavierStokes/ForcedComputation/Detector/ExpandingGateKernels.lean

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7 declarations, 0 contain sorry, 0 declared as axioms

Every scaled translation gate is a linear combination of two fixed compact smooth kernels. The scaling cancels between potential and gradient.

  1. def OAI.ForcedComputation.ExpandingDetector.gateKernel line 15
  2. theorem OAI.ForcedComputation.ExpandingDetector.gateKernel_smooth line 18
  3. theorem OAI.ForcedComputation.ExpandingDetector.gateKernel_compact line 21
  4. theorem OAI.ForcedComputation.ExpandingDetector.gateKernel_jet_bound line 24
  5. theorem OAI.ForcedComputation.ExpandingDetector.field_affine_scale line 34
  6. theorem OAI.ForcedComputation.ExpandingDetector.translationGate_unit_kernel line 41
  7. theorem OAI.ForcedComputation.ExpandingDetector.translationGate_scaled_kernel line 61