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单词 open interval
释义

open interval


open interval

n. A set of numbers consisting of all the numbers between a pair of given numbers but not including the endpoints.
Thesaurus
Noun1.open interval - an interval that does not include its endpointsunbounded intervalinterval - a set containing all points (or all real numbers) between two given endpointsbounded interval, closed interval - an interval that includes its endpoints

Open Interval


open interval

[′ō·pən ′in·tər·vəl] (mathematics) An open interval of real numbers, denoted by (a,b), consists of all numbers strictly greater than a and strictly less than b.

Open Interval

 

the set of points between two given points. In other words, if a and b are the coordinates of the two given points, then the set of points having coordinates x such that axb is an open interval. An open interval does not contain its end points and is denoted by (a, b). In contrast, the closed interval [a, b] contains its end points and consists of the points having coordinates x such that a ≤ x ≤ b.

open interval


Related to open interval: Open set
  • noun

Synonyms for open interval

noun an interval that does not include its endpoints

Synonyms

  • unbounded interval

Related Words

  • interval

Antonyms

  • bounded interval
  • closed interval
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更新时间:2024/12/22 16:54:09