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  2. Cardinality - Wikipedia

    en.wikipedia.org/wiki/Cardinality

    Two sets have the same cardinality if there exists a bijection (a.k.a., one-to-one correspondence) from ⁠ ⁠ to ⁠ ⁠, [10] that is, a function from ⁠ ⁠ to ⁠ ⁠ that is both injective and surjective.

  3. One-to-many (data model) - Wikipedia

    en.wikipedia.org/wiki/One-to-many_(data_model)

    For example, take a car and an owner of the car. The car can only be owned by one owner at a time or not owned at all, and an owner could own zero, one, or multiple cars. One owner could have many cars, one-to-many. In a relational database, a one-to-many relationship exists when one record is related to many records of another table. A one-to ...

  4. Cardinality (data modeling) - Wikipedia

    en.wikipedia.org/wiki/Cardinality_(data_modeling)

    Within data modelling, cardinality is the numerical relationship between rows of one table and rows in another. Common cardinalities include one-to-one , one-to-many , and many-to-many . Cardinality can be used to define data models as well as analyze entities within datasets.

  5. Cardinal number - Wikipedia

    en.wikipedia.org/wiki/Cardinal_number

    A bijective function, f: X → Y, from set X to set Y demonstrates that the sets have the same cardinality, in this case equal to the cardinal number 4. Aleph-null, the smallest infinite cardinal. In mathematics, a cardinal number, or cardinal for short, is what is commonly called the number of elements of a set.

  6. Cardinal assignment - Wikipedia

    en.wikipedia.org/wiki/Cardinal_assignment

    That at least one of and holds turns out to be equivalent to the axiom of choice. Nevertheless, most of the interesting results on cardinality and its arithmetic can be expressed merely with = c . The goal of a cardinal assignment is to assign to every set A a specific, unique set that is only dependent on the cardinality of A .

  7. Aleph number - Wikipedia

    en.wikipedia.org/wiki/Aleph_number

    They were introduced by the mathematician Georg Cantor [1] and are named after the symbol he used to denote them, the Hebrew letter aleph (ℵ). [2] [a] The cardinality of the natural numbers is ℵ 0 (read aleph-nought, aleph-zero, or aleph-null), the next larger cardinality of a well-ordered set is aleph-one ℵ 1, then ℵ 2 and so on.

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