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

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9 declarations, 0 contain sorry, 0 declared as axioms

Euclidean first and second derivative bounds for the injected bump. The constant is a fixed, computed natural number, independent of its width.

  1. def OAI.ForcedComputation.VelocityDetector.euclideanCoordinate line 14
  2. theorem OAI.ForcedComputation.VelocityDetector.euclideanCoordinate_apply line 17
  3. theorem OAI.ForcedComputation.VelocityDetector.euclideanCoordinate_norm line 20
  4. theorem OAI.ForcedComputation.VelocityDetector.coordinateProfile_fderiv line 25
  5. theorem OAI.ForcedComputation.VelocityDetector.coordinateProfile_second_fderiv line 33
  6. theorem OAI.ForcedComputation.VelocityDetector.scalarProduct_second_fderiv line 48
  7. def OAI.ForcedComputation.VelocityDetector.detectorBumpDerivativeBound line 65
  8. theorem OAI.ForcedComputation.VelocityDetector.coordinateProfile_derivative_bounds line 69
  9. theorem OAI.ForcedComputation.VelocityDetector.detectorBump_euclidean_derivative_bounds line 94