Singular Function: Continuous Function, Measure, Derivative -
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High Quality Content by WIKIPEDIA articles! In mathematics, a singular function is any function f defined on the interval [a, b] that has the following properties: f is continuous on [a, b]. there exists a set N of measure 0 such that for all x outside of N the derivative f ¿(x) exists and is zero, that is, the derivative of f vanishes almost everywhere. f is nondecreasing on [a, b]. f(a) < f(b). A standard ... Pilns apraksts
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