7.4. Lebesgue Integral

Example 7.4.2(c): Simple Functions

How does the Dirichlet function fit in with this terminology?
Recall the definition of the Dirichlet function:
In our new terminology, let Q be the set of all rational numbers. Then the Dirichlet function is simply the characteristic function of Q, i.e.
g(x) = XQ(x)
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