OAI/Algebra/DepthFive/ConfiguredRankData.lean
8 declarations, 0 contain sorry, 0 declared as axioms
Common, concrete data for the two sides of the IMM rank comparison.
- def
OAI.Problem335.LowerParameters.rankDimensionline 15Source documentation
The source dimension for the configured bidegree rank measure.
def rankDimension (n : ℕ) : ℝ := …
- def
OAI.Problem335.LowerParameters.rankMomentScaleline 19Source documentation
The common path-count and occupation-mean factor in the two trace moments.
def rankMomentScale (n : ℕ) : ℝ := …
- def
OAI.Problem335.LowerParameters.rankDataline 25Source 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 := …
- theorem
OAI.Problem335.LowerParameters.rankData_eqline 31 - theorem
OAI.Problem335.LowerParameters.rankData_nonnegline 38 - theorem
OAI.Problem335.LowerParameters.rankDimension_nonnegline 43 - theorem
OAI.Problem335.LowerParameters.rankDimension_posline 47 - theorem
OAI.Problem335.LowerParameters.rankMomentScale_posline 55