Example 7.4.2(c): Simple Functions
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)
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)