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Equivalently, a Sperner family is an antichain in the inclusion lattice over the power set of E. A Sperner family is also sometimes called an independent system or irredundant set . Sperner families are counted by the Dedekind numbers , and their size is bounded by Sperner's theorem and the Lubell–Yamamoto–Meshalkin inequality .
Quintic function: Fifth degree polynomial. Rational functions: A ratio of two polynomials. nth root. Square root: Yields a number whose square is the given one. Cube root: Yields a number whose cube is the given one.
More generally, a collection of any sets whatsoever is called a family of sets, set family, or a set system. Additionally, a family of sets may be defined as a function from a set I {\displaystyle I} , known as the index set, to F {\displaystyle F} , in which case the sets of the family are indexed by members of I {\displaystyle I} . [ 1 ]
The Shawano County Sheriff's Office in Wisconsin was notified of a 911 call made by a 10-year-old boy who was having math trouble. Deputy Chase Mason responded to the call and together they were ...
If X is any set, then the power set of X (the family of all subsets of X) forms a ring of sets in either sense.. If (X, ≤) is a partially ordered set, then its upper sets (the subsets of X with the additional property that if x belongs to an upper set U and x ≤ y, then y must also belong to U) are closed under both intersections and unions.
SUFFOLK COUNTY, Long Island (PIX11) — A Long Island family is looking for answers after their loved one suffered a traumatic brain injury in a weekend car crash. The 22-year-old from East ...
In mathematics, a family, or indexed family, is informally a collection of objects, each associated with an index from some index set.For example, a family of real numbers, indexed by the set of integers, is a collection of real numbers, where a given function selects one real number for each integer (possibly the same) as indexing.
Faith tells her family that she and Loren are "just friends" in PEOPLE's exclusive sneak peek at the Nov. 17 episode of '90 Day Fiancé: Before the 90 Days' ... Faith’s family wants to make sure ...
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