ordered pair

ˈɔːrdərd pɛr
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Translation of ordered pair from English into Chinese

Noun

set theory

two elements in a specific sequence
有序对 序偶 xù ǒu序对 xù duì
  • The point (3, 4) is an ordered pair.点 (3, 4) 是一个有序对。
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Synonyms and analogies of ordered pair in English

n.couplepairMore synonyms

Examples of ordered pair in a sentence

  • Ordered pairs are used to define relations in set theory.

Translations of "ordered pair" in Context ordered by category and frequency

Noun
有序对n. - yǒu xù duì

Holmes (1998) takes the ordered pair and its left and right projections as primitive.

Holmes(1998)把有序对与它的左和右投影定為原始概念。

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ordered pair: Examples and translations in context

If one can define a pair in such a way that its type is the same type as that of its arguments (resulting in a type-level ordered pair), then a relation or function is merely one type higher than the type of the members of its field.

如果能以其类型是同它的参数一样的类型的方式定义对(导致一个类型齐平有序对),则关系或函数有只比它的域的成员的类型高1的类型。

If relations are defined in terms of ordered pairs, this axiom requires a prior definition of ordered pair; the Kuratowski definition, adapted to ST, will do.

如果关系以有序对的方式定义,这个公理要求有序对的先决定义;ST接受Kuratowski的定义。

The usual definition of the ordered pair, first proposed by Kuratowski in 1921, has a serious drawback for NF and related theories: the resulting ordered pair necessarily has a type two higher than the type of its arguments (its left and right projections).

首先由Kuratowski在1921年提议的有序对常用的定义对于NF和相关理论有个严重缺陷:结果的有序对必定有比它的参数(它的左和右投影)的类型高2的类型。

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