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Glite Dictionary
bounded interval

bounded interval

7.2
A part of the number line that includes both end points
  • noun
  • /ˈbaʊndɪd ˈɪntərvəl/
  • Specialized
translation icon : intervalo acotado
  • To find the area under the curve, we need to analyze the function over a bounded interval that includes its endpoints.

Examples

  • Well, firstly, let's note one very useful fact, which is that K is a continuous function on a bounded interval or on a bounded interval cross itself.

  • The solution to the equation is valid only within the bounded interval from zero to one.

  • So for example, if I take a closed and bounded interval, this is equal to.

  • In calculus, we often use the concept of a bounded interval to define continuous functions more easily.

Synonyms

closed interval
vsbounded interval
  • Specialized
7.3

All numbers from one number to another including both ends

is the same concept but applies in mathematics more generally

Antonyms

unbounded interval
  • Informal
9.2

A range of numbers that has no end on one or both sides

Surface Forms

bounded interval singular
bounded intervals plural

Morphology

bounded + interval

The compound straightforwardly combines 'bounded' (restricted to limits) with 'interval' (a set of values between endpoints), so a learner who knows both words will infer it means an interval that has definite bounds. Although the exact technical distinction about including endpoints (closed vs. open) is a mathematical nuance, the basic idea of an interval limited by endpoints is directly and transparently derivable from the constituents.

Etymology

Bounded interval paints a picture of a short road with a gate at each end: bounded shows the two gates (the ends) and interval is the stretch of road between them. That's why it means an interval that 'includes its endpoints'.