OAI/NumberTheory/TwoPoint/Walks/TupleOccurrences.lean
4 declarations, 0 contain sorry, 0 declared as axioms
Identify the singleton count and reciprocal weight of actual tuple slots.
- lemma
OAI.TwoPointCorrelations.tupleSlotLabel_occurrencesline 13 - lemma
OAI.TwoPointCorrelations.tupleSlotLabel_singletonsline 30 - lemma
OAI.TwoPointCorrelations.tupleSlotLabel_imageline 36 - lemma
OAI.TwoPointCorrelations.tupleSlotLabel_reciprocalline 52Source documentation
The baseline from singleton integration is exactly the columnwise weight used in the universal pattern and padding sum.
lemma tupleSlotLabel_reciprocal {J R : ℕ} {P : Fin J → Finset ℕ} (w : ColumnPrimeAssignment J R P) : (∏ c ∈ univ.image (tupleSlotLabel w), (c.2.val : ℝ)⁻¹) = columnReciprocalWeight w := by …Mentions: OAI.TwoPointCorrelations.ColumnPrimeAssignment, OAI.TwoPointCorrelations.tupleSlotLabel, OAI.TwoPointCorrelations.columnReciprocalWeight