OAI/GroupTheory/PolycyclicRecognition/Algebra/BundleParameterCharts.lean

GitHub source file

9 declarations, 0 contain sorry, 0 declared as axioms

The actual global interval coordinates, grouped into source bundles

  1. def OAI.PolycyclicRecognition.rectangularCoordinateChart line 12

    Source documentation

    A coordinate permutation followed by currying.

    def rectangularCoordinateChart {h n M : ℕ} (e : Fin h × Fin n ≃ Fin M) :
        (Fin M → ℝ) ≃L[ℝ] (Fin h → Fin n → ℝ) :=
    …
  2. theorem OAI.PolycyclicRecognition.rectangularCoordinateChart_apply line 22
  3. def OAI.PolycyclicRecognition.bundleParameterIndex line 28

    Source documentation

    First all first samples, then all second samples; each block is grouped by bundle before the generator position.

    def bundleParameterIndex (h m : ℕ) :
        Fin h × Fin (m + m) ≃ Fin (h * m + h * m) :=
    …
  4. def OAI.PolycyclicRecognition.bundleParameterChart line 34
  5. def OAI.PolycyclicRecognition.bundleOutputChart line 38
  6. theorem OAI.PolycyclicRecognition.bundleParameterIndex_left line 42
  7. theorem OAI.PolycyclicRecognition.bundleParameterIndex_right line 50
  8. theorem OAI.PolycyclicRecognition.bundleParameterChart_left line 58
  9. theorem OAI.PolycyclicRecognition.bundleParameterChart_right line 64