boundedness

Definitions

The quality or state of being limited, restricted, or confined within specific boundaries.

In mathematics, the property of a set or function having a finite range or being contained within a specified limit.

Examples

The boundedness of the function ensures that it does not approach infinity within the given interval.

Mathematicians often study the boundedness of sequences to determine their convergence properties.

The boundedness of the physical system prevents the energy levels from exceeding a specific threshold.

Synonyms

limitation finiteness restriction constraint confinement circumscription delimitation

Antonyms

boundlessness infinitude unlimitedness endlessness limitlessness immensity vastness