WebIn set theory and related branches of mathematics, a collection of subsets of a given set is called a family of subsets of , or a family of sets over . More generally, a collection of any … WebCiteSeerX - Document Details (Isaac Councill, Lee Giles, Pradeep Teregowda): In the paper a condition equivalent to sparseness of a set is formulated. This condition is a base for a …
On the density of sets of vectors - ScienceDirect
Web17 de abr. de 2024 · In Theorem 5.30, we will prove some properties of set operations for indexed families of sets. Some of these properties are direct extensions of … WebA fixed lattice has the [n]-density property if n is large enough. The density of a generator U of a union-closed family of sets L containing the empty set is estimated. The estimate depends only on the local properties of L at U. If L is generated by sets of size at most two, then there is a generator U of L with estimated density at most 1/2. small cup bras for large women
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WebHá 2 dias · Decision-theoretic interval estimation requires the use of loss functions that, typically, take into account the size and the coverage of the sets. We here consider the class of monotone loss functions that, under quite general conditions, guarantee Bayesian optimality of highest posterior probability sets. We focus on three specific families of … Web1 de jan. de 1983 · For a family T of subsets of an n-set X we define the trace of it on a subset Y of X by T T (Y) = {F∩Y:Fϵ T}.We say that (m,n) → (r,s) if for every T with T ⩾m we can find a Y⊂X Y = s such that T T (Y) ⩾ r.We give a unified proof for results of Bollobàs, Bondy, and Sauer concerning this arrow function, and we prove a conjecture of … WebWe study the central limit theorem (CLT) and the law of large numbers (LLN) for empirical processes indexed by a (countable) class of sets C. The main result, of purely measure-theoretical nature, relates different ways to measure the “size” of C. It relies on a new rearrangement inequality that has been inspired by techniques used in the local theory of … small cup bras for elderly women