Equicontinuous

/ˌɛkwɪkənˈtɪnjuəs/ adjective

Definition

In mathematics, describing a family of functions where all members are continuous at the same uniform rate across their domain.

Etymology

From Latin 'aequus' (equal) + 'continuus' (unbroken, continuous). This is a highly technical mathematical concept from functional analysis.

Kelly Says

This is a powerful idea in calculus: imagine a collection of curves that are all equally smooth and well-behaved across their entire domain—no curve has a hidden sharp corner or breaking point that others don't share at the same spots.

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