cardinality


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Related to cardinality: Cardinality of a Set

cardinality

(mathematics)
The number of elements in a set. If two sets have the same number of elements (i.e. there is a bijection between them) then they have the same cardinality. A cardinality is thus an isomorphism class in the category of sets.

aleph 0 is defined as the cardinality of the first infinite ordinal, omega (the number of natural numbers).

cardinality

A quantity relationship between elements. For example, one-to-one, one-to-many and many-to-one express cardinality. See cardinal number.
References in periodicals archive ?
A subset H [subset or equal to] C is a hitting set for the family S if H has a nonempty intersection with each element of this family, and the minimum hitting set problem (HS) is that of finding a hitting set of minimum cardinality.
Let N be a unary connective (that is, of the same syntactic type as the negation symbol) which in every domain whose cardinality belongs to C is interpreted as negation, and in every other domain as the Boolean identity function (mapping T to T and F to F).
As such, this new formula, as pointed out, represents the "integration complexity without design reduction" and "gives the cardinality of a basis set of paths through an entire program.
Cardinality is an essential construct of developing mathematical proficiency, as it is foundational for later number and operations.
SQL Server would make assumptions about the cardinality estimate of a TVF, frequently assuming incorrectly.
Since the contractive similarities do not alter the amount of elements of the original set, the cardinality of X under P and that of each equivalence class must also be guaranteed to be equal.
The NP-hardness of finding the minimum cardinality of a closed monopoly in a graph is easy to observe as stated by Linial et al.
The join cardinality of this subspace is computed using the corresponding counting Bloom filters,[f.
Right-angled buildings in which all the panels of same type have same cardinality have been classified by F.
25 In a complete SVNHG H = (X, E) the cardinality of N(x) is same for every vertex.
While transforming relationship sets cardinality of <<one-to-many>>, in addition for object properties would be created and tagged as inverse object properties.
Equivalently, A and B are k-compatible, if there exists subset E of D(A) [intersection] D(B) of cardinality k called the error set such that