upper bound

American  

noun

Mathematics.

1. an element greater than or equal to all the elements in a given set: 3 and 4 are upper bounds of the set consisting of 1, 2, and 3.

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upper bound Scientific  

1. A number that is greater than or equal to every number in a given set.

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Example Sentences

The indictment mentions the nine specific games but says there were more than 100 total bets on Clase and does not posit an upper bound of how often this happened.

From Slate • Nov. 11, 2025

They determined a hypothetical upper bound for Category 5 hurricanes by looking at the expanding range of wind speeds between the lower-category storms.

From Science Daily • Feb. 5, 2024

In an October policy meeting, the BOJ modified its bond yield control by redefining 1.0% as an "upper bound" with room for allowance, rather than a rigid cap.

From Reuters • Nov. 22, 2023

There is a fundamental upper bound to the luminosity of any celestial object beyond which “the radiation observed to be emitted … would blow up the star,” Arthur Eddington wrote in an influential 1926 paper.

From Scientific American • Aug. 18, 2023

Godwin's    Law thus practically guarantees the existence of an upper bound on    thread length in those groups.

From The Jargon File, Version 4.0.0, 24 Jul 1996 by Raymond, Eric S.