OAI/NumberTheory/Ostmann/Arithmetic/FrequencyBulkNorm.lean
4 declarations, 0 contain sorry, 0 declared as axioms
Sharp arithmetic probability retained in the bulk frequency norm
- theorem
OAI.Ostmann.arithmeticLeafSupport_mean_leline 11 - theorem
OAI.Ostmann.uniform_average_norm_average_mul_leline 36 - theorem
OAI.Ostmann.frequencyModelBulkCore_mean_leline 91Source documentation
The original bulk unit law gives the product of the simultaneous quadratic-root bounds. The coefficient contains the literal data weights.
theorem frequencyModelBulkCore_mean_le (x y : ℤ) : let T := fun b => buildMovingSlotData n …Mentions: OAI.Ostmann.buildMovingSlotData
- theorem
OAI.Ostmann.frequencyModelBulkPage_mean_leline 129Source documentation
Discarding the Page multiplier costs only two and preserves every frequency split saving under the original bulk law.
theorem frequencyModelBulkPage_mean_le (input : PublishedProgressionInput) (Q : ℕ) (Y : ℝ) (hY : 0 ≤ Y) : let T := fun b => buildMovingSlotData n …Mentions: OAI.Ostmann.PublishedProgressionInput, OAI.Ostmann.buildMovingSlotData