What does bounded interval mean?

Definitions for bounded interval
bound·ed in·ter·val

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

Princeton's WordNet

  1. closed interval, bounded intervalnoun

    an interval that includes its endpoints

Wikipedia

  1. bounded 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. bounded interval

    In mathematics, a bounded interval is a specific segment or section of the number line that has two endpoints, known as bounds. These bounds can either be included in the interval (closed interval) or not included (open interval). A bounded interval can include any type of number such as real numbers, integers, fractions, etc. The interval is said to be "bounded" because it has a definite start and end point, and does not stretch to infinity in either direction.

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Numerology

  1. Chaldean Numerology

    The numerical value of bounded interval in Chaldean Numerology is: 6

  2. Pythagorean Numerology

    The numerical value of bounded interval in Pythagorean Numerology is: 4


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"bounded interval." Definitions.net. STANDS4 LLC, 2024. Web. 25 Apr. 2024. <https://www.definitions.net/definition/bounded+interval>.

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