open interval
- noun
- Specialized
:
intervalo abierto
- The set of all real numbers between 1 and 3, excluding 1 and 3, is an open interval.
Examples
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To describe the solution set, we refer to the values within the open interval (0, 5).
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In calculus, an open interval is often used to define the domain of functions.
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And So what I do is I just take O to be this union of open intervals then.
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Any covering of B by open intervals is a covering of A by open intervals, OK.
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And the question says find the open intervals on which the curve given by the vector valued function is smooth.
Antonyms
Surface Forms
Morphology
The meaning 'an interval that excludes its endpoints' is directly derivable from combining 'open' (not closed / not including boundary points) with 'interval' (the range between two endpoints). Although it is a technical mathematical term, the compositional logic is straightforward and cross-linguistically common, so a B1 learner who knows both constituents can infer the intended meaning.
Etymology
The term open interval uses a simple picture: imagine a interval, a stretch of numbers between two points, where the ends are open like small gaps, so the points at the ends are 'not included' while every number inside is included. That's why an open interval means all the numbers between the 'endpoints' but not the endpoints themselves.
