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What is a cardinality?

What is a cardinality? Here are some definitions.

Noun
  1. (set theory) Of a set, the number of elements it contains.
  2. (data modeling, databases) The property of a relationship between a database table and another one, specifying whether it is one-to-one, one-to-many, many-to-one, or many-to-many.
  3. (religion) The status of a cardinal
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Examples
Similarly, an eliminative structuralist account of real analysis and Euclidean geometry requires a background ontology whose cardinality is at least that of the continuum.
It is the combination of cardinality and elements that give us the twelve combinations evidenced in the astrological signs.
The max cardinality of an argument pin must be the same as for the represented Attribute.
Furthermore, the distinction between cardinality and ordinality has been relatively unimportant in previous empirical studies.
Indexing can be performed dynamically for an attribute which has low cardinality constraint to provide better performance.
This rules take the cardinality of the association into account.

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