least upper bound

noun

Mathematics.

1. an upper bound that is less than or equal to all the upper bounds of a particular set. 3 is the least upper bound of the set consisting of 1, 2, 3. lub

Example Sentences

One way of formalizing the idea is the following statement: Every nonempty subset of the real numbers that has an upper bound has a least upper bound.

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We also talked about the relationship between the Intermediate Value Theorem and the least upper bound property, which you can read about here.

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