The Takagi Function and Its Properties

Details The Takagi Function and Its Properties The Takagi Function and Its Properties

2011-12-19

arxiv.org/abs/1112.4205v2

Mathematics

Classical Analysis and ODEs

32 pages, 4 figures

Scientific paper

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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