What does closed interval mean?

Definitions for closed interval
closed inter·val

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

Princeton's WordNet

  1. closed interval, bounded intervalnoun

    an interval that includes its endpoints

Wikipedia

  1. closed interval

    In mathematics, a (real) interval is a set of real numbers that contains all real numbers lying between any two numbers of the set. For example, the set of numbers x satisfying 0 ≤ x ≤ 1 is an interval which contains 0, 1, and all numbers in between. Other examples of intervals are the set of numbers such that 0 < x < 1, the set of all real numbers R {\displaystyle \mathbb {R} } , the set of nonnegative real numbers, the set of positive real numbers, the empty set, and any singleton (set of one element). Real intervals play an important role in the theory of integration, because they are the simplest sets whose "length" (or "measure" or "size") is easy to define. The concept of measure can then be extended to more complicated sets of real numbers, leading to the Borel measure and eventually to the Lebesgue measure. Intervals are central to interval arithmetic, a general numerical computing technique that automatically provides guaranteed enclosures for arbitrary formulas, even in the presence of uncertainties, mathematical approximations, and arithmetic roundoff. Intervals are likewise defined on an arbitrary totally ordered set, such as integers or rational numbers. The notation of integer intervals is considered in the special section below.

ChatGPT

  1. closed interval

    A closed interval is a set of numbers that includes all the values between a minimum and maximum value, including those two values themselves. It is typically denoted in the form [a, b] where 'a' is the minimum value, 'b' is the maximum value and the square brackets indicate that 'a' and 'b' are included in the interval.

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Numerology

  1. Chaldean Numerology

    The numerical value of closed interval in Chaldean Numerology is: 7

  2. Pythagorean Numerology

    The numerical value of closed interval in Pythagorean Numerology is: 6


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"closed interval." Definitions.net. STANDS4 LLC, 2024. Web. 28 Apr. 2024. <https://www.definitions.net/definition/closed+interval>.

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