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  2. Multiset - Wikipedia

    en.wikipedia.org/wiki/Multiset

    In mathematics, a multiset (or bag, or mset) is a modification of the concept of a set that, unlike a set, [1] allows for multiple instances for each of its elements. The number of instances given for each element is called the multiplicity of that element in the multiset.

  3. Family of sets - Wikipedia

    en.wikipedia.org/wiki/Family_of_sets

    In set theory and related branches of mathematics, a family (or collection) can mean, depending upon the context, any of the following: set, indexed set, multiset, or class. A collection of subsets of a given set is called a family of subsets of , or a family of sets over .

  4. Multiplicity (mathematics) - Wikipedia

    en.wikipedia.org/wiki/Multiplicity_(mathematics)

    In mathematics, the multiplicity of a member of a multiset is the number of times it appears in the multiset. For example, the number of times a given polynomial has a root at a given point is the multiplicity of that root.

  5. Permutation - Wikipedia

    en.wikipedia.org/wiki/Permutation

    If M is a finite multiset, then a multiset permutation is an ordered arrangement of elements of M in which each element appears a number of times equal exactly to its multiplicity in M. An anagram of a word having some repeated letters is an example of a multiset permutation.

  6. Twelvefold way - Wikipedia

    en.wikipedia.org/wiki/Twelvefold_way

    In combinatorics, the twelvefold way is a systematic classification of 12 related enumerative problems concerning two finite sets, which include the classical problems of counting permutations, combinations, multisets, and partitions either of a set or of a number.

  7. "Hearst Magazines and Yahoo may earn commission or revenue on some items through these links." “Acute inflammation helps to protect and heal our bodies, however, chronic inflammation is a ...

  8. List of set identities and relations - Wikipedia

    en.wikipedia.org/wiki/List_of_set_identities_and...

    In constructive mathematics, "not empty" and "inhabited" are not equivalent: every inhabited set is not empty but the converse is not always guaranteed; that is, in constructive mathematics, a set that is not empty (where by definition, "is empty" means that the statement () is true) might not have an inhabitant (which is an such that ).

  9. Poll: 85% of Greenlanders do not want to be part of the US

    www.aol.com/news/poll-85-greenlanders-not-want...

    An opinion poll indicated on Tuesday that 85% of Greenlanders do not wish their Arctic island - a semi-autonomous Danish territory - to become a part of the United States, Danish daily Berlingske ...