# The Modified Dirichlet Function

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This modified Dirichlet function has many names: Thomae, Riemann, popcorn, raindrop, ruler. It is defined on the closed interval to be at reduced rationals and elsewhere. It has the curious property that it is continuous on the irrationals but discontinuous at every rational in .

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Contributed by: George Beck (March 2011)

Open content licensed under CC BY-NC-SA

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