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The Takagi Function and Its Properties (1112.4205v2)

Published 19 Dec 2011 in math.CA and math.NT

Abstract: The Takagi function is a continuous non-differentiable function on [0,1] introduced by Teiji Takagi in 1903. It has since appeared in a surprising number of different mathematical contexts, including mathematical analysis, probability theory and number theory. This paper surveys the known properties of this function as it relates to these fields.

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