November 2012
Intermediate to advanced
794 pages
22h 9m
English
B.28 DIRICHLET FUNCTION
Definition: Dirichlet Function The Dirichlet function is
(B.143)
for
where
is the discrete indicator function.
It is an example of a function that is not Riemann integrable and is discontinuous everywhere. However, the Dirichlet function is Lebesgue integrable; for example, its Lebesgue integral on [0, 1] is zero.
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