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 2.16, [[DELTA].sub.[perpendicular to]] and [[DELTA]'.sub.[perpendicular to]] are isomorphic.
The value of [alpha]k computed by (31) is associated with the characteristics of image data sets, since its variation is caused by both the cardinalities of labeled samples in each category and the total samples.
Similar comments can be made for the remaining cardinalities. Fig.
To create well-behaved database tables, students must consider entities, relationships, conversion rules for cardinalities, and the "one fact-one place" rule as follows: 1) for each entity in the REA model, create a separate table with an entity identifier field called a primary key (pk) which uniquely identifies each record, and 2) for each relationship in the REA model, determine whether a separate bridge table requiring a composite primary key (cpk) should be created or whether the relationship be represented with a foreign key.
With knowing just the cardinalities, we still cannot determine if a semantics segment should be imprinted into the upper layer, or not.
Keywords: cardinalities; collaborative design; data modeling; Internet; REA accounting.
(2) is valid due to the transitivity of inclusion, (3) is valid due to interrelations between transitivity, reflexivity, and symmetry, and (4) is valid due to interrelations between cardinalities.
Most algorithms for determining the k-plets that have sufficient support proceed in order of increasing cardinalities. In other words, they first determine the single items, then the pairs of items, the triplets, and so on.
For an interval n whose cycles have periodicity p, then, we know how to identify the "maximally n-saturated set types" whose cardinalities are p or integer multiples of p.
C okX `okY and ??, A `??, C `??, okX `okY are two solutions for the DNNF in figure 10 with cardinalities 2 and 3, respectively.
Appeal to simple abstraction and similar techniques is limited - it will not give us cardinalities large enough for the higher reaches of set theory.