In mathematics, a multiset (or bag, or mset) is a modification of the concept of a set that, unlike a set, allows for multiple instances for each of its...
35 KB (4,850 words) - 15:37, 3 August 2024
Set (abstract data type) (redirect from Multiset (abstract data type))
sets, allow also the insertion and deletion of elements from the set. A multiset is a special kind of set in which an element can appear multiple times...
25 KB (2,958 words) - 19:07, 13 May 2024
number of distinct elements in a multiset. Calculating the exact cardinality of the distinct elements of a multiset requires an amount of memory proportional...
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The standard associative containers are set, multiset, map, multimap, hash_set, hash_map, hash_multiset and hash_multimap. There are also container adaptors...
24 KB (2,136 words) - 01:31, 6 April 2024
Associative containers (C++) (redirect from Multiset (C++))
containers are defined in the current revision of the C++ standard: set, map, multiset, multimap. Each of these containers differ only on constraints placed on...
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which repetition is allowed, the terms k-combination with repetition, k-multiset, or k-selection, are often used. If, in the above example, it were possible...
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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...
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Unordered associative containers (C++) (redirect from Unordered multiset)
revision of the C++ standard: unordered_set, unordered_map, unordered_multiset, unordered_multimap. Each of these containers differ only on constraints...
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Collection Monoid properties List Free Finite multiset Commutative Finite set Commutative and idempotent Finite permutations Non-commutative[clarification...
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type the data is Container List Tuple Associative array, Map Multimap Set Multiset (bag) Stack Queue (example Priority queue) Double-ended queue Graph (example...
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Dershowitz–Manna ordering (redirect from Multiset ordering)
mathematics, the Dershowitz–Manna ordering is a well-founded ordering on multisets named after Nachum Dershowitz and Zohar Manna. It is often used in context...
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Permutation (section Permutations of multisets)
language is a set of words obeying specified rules. If M is a finite multiset, then a multiset permutation is an ordered arrangement of elements of M in which...
77 KB (11,519 words) - 06:37, 9 August 2024
Metric space (section Metrics on multisets)
to a multiset of elements. A multiset is a generalization of the notion of a set in which an element can occur more than once. Define the multiset union...
79 KB (11,080 words) - 03:44, 27 August 2024
logical function NOT, and in APL it additionally represents the dyadic multiset function without (set difference). In C the tilde character is used as...
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choose k elements from a set of n elements if repetitions are allowed. See Multiset. There are ( n + k k ) {\displaystyle {\tbinom {n+k}{k}}} strings containing...
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Path ordering (term rewriting) (redirect from Multiset path ordering)
The multiset path ordering (>) can be defined as follows: where (≥) denotes the reflexive closure of the mpo (>), { s1,...,sm } denotes the multiset of...
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is equal to the number of multisets of cardinality n taken from a set of size k, or equivalently, the number of multisets of cardinality k − 1 taken...
14 KB (1,872 words) - 14:39, 16 August 2024
series-reduced rooted trees whose leaves are integer partitions whose multiset union is an integer partition of 7. 886 = 2 × 443, the Mertens function...
22 KB (3,851 words) - 10:39, 19 August 2024
suppose T : V → V is a linear map. The spectrum of T, denoted σT, is the multiset of roots of the characteristic polynomial of T. Thus the elements of the...
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frequently in general. Like the bag-of-words model, it models a document as a multiset of words, without word order. It is a refinement over the simple bag-of-words...
22 KB (2,959 words) - 21:48, 26 July 2024
Provides the container adaptor class templates std::flat_set and std::flat_multiset. <forward_list> New in C++11 and TR1. Provides the container class template...
23 KB (2,404 words) - 04:39, 6 January 2024
tilings of a 12-gon 909 = 32 × 101, number of non-isomorphic aperiodic multiset partitions of weight 7 910 = 2 × 5 × 7 × 13, Mertens function(910) returns...
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method Set (mathematics) Class (set theory) Family of sets Indexed family Multiset Parametric family Collection (2NE1 album), 2012 Collection (Agnes album)...
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_{i}^{\,{\text{th}}}} roots of unity. The multiset union of the L i {\displaystyle L_{i}} is then the multiset of eigenvalues of P. Since writing ρ P {\displaystyle...
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3\}=\{3,2,1\}} . A tuple has a finite number of elements, while a set or a multiset may have an infinite number of elements. There are several definitions...
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is an ordered pair G := (V, E) with V a set of vertices or nodes, E a multiset of unordered pairs of vertices, called edges or lines. A multigraph G is...
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neurodevelopmental disorders. In mathematics, the spectrum of a matrix is the multiset of the eigenvalues of the matrix. In functional analysis, the concept of...
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Chen prime. 1164 = number of chains of multisets that partition a normal multiset of weight 8, where a multiset is normal if it spans an initial interval...
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singleton multiset, and ⊎ {\displaystyle \uplus } is the multiset union operation. The semantics is then defined as a reduction relation on a multiset M → M...
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problem in computer science. In its most general formulation, there is a multiset S {\displaystyle S} of integers and a target-sum T {\displaystyle T} ,...
25 KB (3,783 words) - 14:10, 26 June 2024