cardinality

/kɑɹdɪˈnælɪti/

UK: /kɑːdɪˈnælɪti/

cardinality

English Noun
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Definition

The number of elements a given set contains.

Etymology

From cardinal + -ity.

Example Sentences

  • "The empty set has a cardinality of zero."
  • "The cardinality of a set A is the least ordinal α such that there exists a bijection between A and α. We sometimes use the notation #92;alpha#61;#124;A#124; to indicate this."
  • "For fuzzy sets, the concept of set size or cardinality is both richer and more problematic than it is for crisp sets. It is richer because, as we shall see, we may use more than one kind of cardinality."
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