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cardinality

noun

  1. measure of the “number of elements of the set”, either as a cardinal number or as the equivalence class of sets admitting bijections to this set
  2. numerical relationship among rows in different tables
L317718 on Wikidata ↗

Wiktionary

Pronunciation: /kɑːdɪˈnælɪti/ / /kɑɹdɪˈnælɪti/

noun

Etymology: Etymology tree Latin cardō Proto-Indo-European *h₂el-der.? Proto-Italic *-ālis Latin -ālis Latin cardinālisder. Middle French cardinalbor. English cardinal Proto-Indo-European *-teh₂ Proto-Indo-European *-ts Proto-Indo-European *-teh₂ts Latin -itāsder. Old French -itebor. Middle English -ite English -ity English cardinality From cardinal + -ity.

  1. The number of elements a given set contains.

    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.

  2. The number of terms that can inhabit a type; the possible values of a type.

    For many types, such as String, the set of possible values is unlimited. Such types have an infinite cardinality.

  3. 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.
  4. The status of being cardinalitial