cardinality

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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) An example top-k join query and the corresponding join cardinalities of join subspaces, and (b) estimates of the corresponding top-k candidate space.
If these cardinalities are equal then, by Theorem 2.
3 shows the frontiers in the mean-TEV plane when considering the same cardinalities as in Fig.
A REA diagram showing connectivity and cardinalities (including whether participation is optional or mandatory).
Because this effect involves proper substrings of the complete generator, it only produces additional transpositions of relatively small fields (with cardinalities less than l).
Typical concepts supported by most data modeling methodologies include entities, relationships, attributes, generalization, aggregation, and cardinalities.
Then it is easy to see that when searching for a set packing on L = L[prime] [union] L[double prime] (where the maximum set cardinality is [Delta]), since there is no selection condition on the set cardinalities, Algorithm 13 could provide set L[double prime] as the solution of the problem; on the other hand, the optimal solution is exactly the set L[prime], and therefore an approximation ratio equal to 1/[Delta] is attained by the algorithm.
For example, one table lists the set classes of cardinalities three through nine according to ic-1 content, listing first the sets with no semitones, then those with exactly one ic 1, two ics 1, and so on.
Although macro-level models use data model notation, they are not conventional data models: cardinalities, which describe the number of relationships of a certain type that an entity belonging to a certain entity type can have, are not necessarily assigned to relationship types on this level and entity types do not contain attributes.
Given a space X, the cardinal s(X) called the spread of X, is the supremum of cardinalities of discrete subsets of X.
A] (x)), x [member of] X) a neutrosophic set in X, first, we define two cardinalities of a neutrosophic set