What does ordered pair mean?

Definitions for ordered pair
or·dered pair

This dictionary definitions page includes all the possible meanings, example usage and translations of the word ordered pair.

Wiktionary

  1. ordered pairnoun

    A set containing exactly two elements in a fixed order, so that, when the elements are different, exchanging them gives a different set. Notation: (a, b) or .

Wikipedia

  1. Ordered pair

    In mathematics, an ordered pair (a, b) is a pair of objects. The order in which the objects appear in the pair is significant: the ordered pair (a, b) is different from the ordered pair (b, a) unless a = b. (In contrast, the unordered pair {a, b} equals the unordered pair {b, a}.) Ordered pairs are also called 2-tuples, or sequences (sometimes, lists in a computer science context) of length 2. Ordered pairs of scalars are sometimes called 2-dimensional vectors. (Technically, this is an abuse of terminology since an ordered pair need not be an element of a vector space.) The entries of an ordered pair can be other ordered pairs, enabling the recursive definition of ordered n-tuples (ordered lists of n objects). For example, the ordered triple (a,b,c) can be defined as (a, (b,c)), i.e., as one pair nested in another. In the ordered pair (a, b), the object a is called the first entry, and the object b the second entry of the pair. Alternatively, the objects are called the first and second components, the first and second coordinates, or the left and right projections of the ordered pair. Cartesian products and binary relations (and hence functions) are defined in terms of ordered pairs, cf. picture.

Wikidata

  1. Ordered pair

    In mathematics, an ordered pair is a pair of mathematical objects. The order in which the objects appear in the pair is significant: the ordered pair is different from the ordered pair unless a = b. Ordered pairs are also called 2-tuples, 2-dimensional vectors, or sequences of length 2. The entries of an ordered pair can be other ordered pairs, enabling the recursive definition of ordered n-tuples. For example, the ordered triple can be defined as, i.e., as one pair nested in another. In the ordered pair, the object a is called the first entry, and the object b the second entry of the pair. Alternatively, the objects are called the first and second coordinates, or the left and right projections of the ordered pair. Cartesian products and binary relations are defined in terms of ordered pairs.

Suggested Resources

  1. ordered pair

    The ordered pair symbol -- In this Symbols.com article you will learn about the meaning of the ordered pair symbol and its characteristic.

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How to say ordered pair in sign language?

Numerology

  1. Chaldean Numerology

    The numerical value of ordered pair in Chaldean Numerology is: 5

  2. Pythagorean Numerology

    The numerical value of ordered pair in Pythagorean Numerology is: 5


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"ordered pair." Definitions.net. STANDS4 LLC, 2024. Web. 29 Mar. 2024. <https://www.definitions.net/definition/ordered+pair>.

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