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单词 bounded variation
释义
bounded variation

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

    i=1n|f(xi)f(xi1)|

    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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