ordered pair meaning

WOrdered pair
  • In mathematics, an ordered pair (a, b) is a pair of mathematical 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.
  • Ordered pairs are also called 2-tuples, or sequences of length 2; ordered pairs of scalars are also called 2-dimensional vectors.
  • 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 coordinates, or the left and right projections of the ordered pair.

    Definition of ordered pair in English Dictionary

  • NounPLordered pairs
    1. (set theory) An object containing exactly two elements in a fixed order, so that, when the elements are different, exchanging them gives a different object. Notation: (a, b) or.
      1. If an ordered pair were defined (in terms of sets) as then the "first element" of an ordered pair S could be defined as CAR(S) where CAR(S) = x if and only if . Likewise, the "second element" of S could be defined as CDR(S) where CDR(S) = x if and only if . If the two elements happened to be equal, then the ordered pair would still have cardinality two as would be naturally expected.
  • Part-of-Speech Hierarchy
    1. Nouns
      • Countable nouns
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    1. en ordered pairs
    Source: Wiktionary
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    Meaning of ordered pair for the defined word.

    Grammatically, this idiom "ordered pair" is a noun, more specifically, a countable noun.
    Definiteness: Level 1
    Definite    ➨     Versatile