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MathVibes on Instagram: "In mathematics, the Dirichlet function is the indicator function 1Q of the set of rational numbers Q, i.e. 1Q(x) = 1 if x is a rational number and 1Q(x) = 0 if x is not a rational number (i.e. is an irrational number). It is named after the mathematician Peter Gustav Lejeune Dirichlet. It is an example of a pathological function which provides counterexamples to many situations. The Dirichlet function can be constructed as the double pointwise limit of a sequence of cont
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MathVibes on Instagram: "In mathematics, the Dirichlet function is the indicator function 1Q of the set of rational numbers Q, i.e. 1Q(x) = 1 if x is a rational number and 1Q(x) = 0 if x is not a rational number (i.e. is an irrational number). It is named after the mathematician Peter Gustav Lejeune Dirichlet. It is an example of a pathological function which provides counterexamples to many situations. The Dirichlet function can be constructed as the double pointwise limit of a sequence of cont
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