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单词 bounded variation
释义

bounded variation

A real function f on an interval [a,b] is said to have bounded variation if the set of values

is bounded above where a = x0 < x1 <…< xn = b is any partition of the interval. Differentiable functions with bounded derivatives have bounded variation. xcos(1/x) is an example of a function which does not have bounded variation.

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更新时间:2025/4/30 13:20:38