OAI/Algebra/DepthFive/ConfiguredRankData.lean

GitHub source file

8 declarations, 0 contain sorry, 0 declared as axioms

Common, concrete data for the two sides of the IMM rank comparison.

  1. def OAI.Problem335.LowerParameters.rankDimension line 15

    Source documentation

    The source dimension for the configured bidegree rank measure.

    def rankDimension (n : ℕ) : ℝ :=
    …
  2. def OAI.Problem335.LowerParameters.rankMomentScale line 19

    Source documentation

    The common path-count and occupation-mean factor in the two trace moments.

    def rankMomentScale (n : ℕ) : ℝ :=
    …
  3. def OAI.Problem335.LowerParameters.rankData line 25

    Source documentation

    The actual rank measure, extended by zero outside the range where the balanced schedule is used. The small values do not enter the eventual bounds.

    def rankData (n : ℕ) (p : MvPolynomial (Fin n × Fin n × Fin n) ℂ) : ℝ :=
    …
  4. theorem OAI.Problem335.LowerParameters.rankData_eq line 31
  5. theorem OAI.Problem335.LowerParameters.rankData_nonneg line 38
  6. theorem OAI.Problem335.LowerParameters.rankDimension_nonneg line 43
  7. theorem OAI.Problem335.LowerParameters.rankDimension_pos line 47
  8. theorem OAI.Problem335.LowerParameters.rankMomentScale_pos line 55