equicontinuous Definition
(of a function) having the property that for every ε > 0 there exists a δ > 0 such that |f(x) - f(y)| < ε whenever |x - y| < δ, where f(x) and f(y) are the values of the function at x and y respectively..
Using equicontinuous: Examples
Take a moment to familiarize yourself with how "equicontinuous" can be used in various situations through the following examples!
Example
The function is equicontinuous on the interval [a,b].
Example
Equicontinuity is a useful concept in the study of dynamical systems.
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Summary: equicontinuous in Brief
The term 'equicontinuous' [ˌiːkwɪkənˈtɪnjʊəs] describes a function that has the property that for every ε > 0 there exists a δ > 0 such that |f(x) - f(y)| < ε whenever |x - y| < δ. This concept is useful in the study of dynamical systems.
