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upper bound

upper bound

3 7.2
A number that is as big as or bigger than every number in a set
  • noun
  • Specialized
translation icon : límite superior
  • Besides extreme cold, these conditions include an upper bound on the local magnetic field.
  • upper bound on the value
  • upper bound estimate
  • provide an upper bound

Is it a lower or an upper bound or and why?

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Examples

  • The designer's specifications assign each design variable a lower and upper bound and an allowed tolerance for convergence.

    Academic text (1994)
  • A loop gain of 0.1, then, is in practice the upper bound for very long-term climate stability.

    Blog text (16)
  • Generally speaking, the big O is an upper bound on my function, OK?

  • You will, you will then form a lower and upper bound on the global problem.

  • There is, however, clearly an upper bound beyond which stability declines.

    Academic text (1990)
  • So the total amortized costs provide an upper bound on the total true costs.

  • At a 95 percent confidence interval for the mean, the lower bound was 19.96 and the upper bound was 23.47.

    Academic text (2007)
  • Various efforts are now in motion to improve the upper bound on the neutron EDM by about two orders of magnitude.

    Academic text (2012)
  • For analysis, probability values and the midpoint of the lower and upper bounds were converted to ranks.

    Academic text (1990)
  • The study established an upper bound for the maximum temperature that can be tolerated.

Synonyms

ceiling
vsupper bound
110 3.7

An upper limit on the amount or number allowed

is a mathematical value at or above every member of the set
upper limit
vsupper bound
7 3.2

The highest allowed amount or value of something

is a mathematical value that is at least every element in a set

Antonyms

lower bound
  • Specialized
3 7.0

A value that is no larger than any number in a set

How High

upper bound
  • Specialized
3 7.2
lower bound
  • Specialized
3 7.0

Surface Forms

upper bound singular
upper bounds plural

Morphology

upper + bound

The meaning 'a top or maximum limit' is directly derivable from combining 'upper' (toward the top) with 'bound' (limit), so a B1 learner who knows both words can infer it refers to a limiting/highest value. This is a standard compositional adjective+noun phrase with similar constructions across languages, although the precise mathematical formalism is domain-specific.

Etymology

Upper bound shows a clear picture: upper means 'top' and bound means 'a limit'. Imagine numbers under an invisible 'ceiling', and the upper bound is that ceiling, so it is a number at or above every number in the set.