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...

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...

number of distinct elements in a multiset. Calculating the exact cardinality of the distinct elements of a multiset requires an amount of memory proportional...

The standard associative containers are set, multiset, map, multimap, hash_set, hash_map, hash_multiset and hash_multimap. There are also container adaptors...

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...

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...

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...

revision of the C++ standard: unordered_set, unordered_map, unordered_multiset, unordered_multimap. Each of these containers differ only on constraints...

Collection Monoid properties List Free Finite multiset Commutative Finite set Commutative and idempotent Finite permutations Non-commutative[clarification...

type the data is Container List Tuple Associative array, Map Multimap Set Multiset (bag) Stack Queue (example Priority queue) Double-ended queue Graph (example...

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...

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...

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...

logical function NOT, and in APL it additionally represents the dyadic multiset function without (set difference). In C the tilde character is used as...

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...

The multiset path ordering (>) can be defined as follows: where (≥) denotes the reflexive closure of the mpo (>), { s1,...,sm } denotes the multiset of...

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...

series-reduced rooted trees whose leaves are integer partitions whose multiset union is an integer partition of 7. 886 = 2 × 443, the Mertens function...

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...

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...

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...

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...

method Set (mathematics) Class (set theory) Family of sets Indexed family Multiset Parametric family Collection (2NE1 album), 2012 Collection (Agnes album)...

_{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...

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...

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...

neurodevelopmental disorders. In mathematics, the spectrum of a matrix is the multiset of the eigenvalues of the matrix. In functional analysis, the concept of...

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...

singleton multiset, and ⊎ {\displaystyle \uplus } is the multiset union operation. The semantics is then defined as a reduction relation on a multiset M → M...

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} ,...