Rationals, irrational, continuous functions, Dirichlet functionThis modified Dirichlet function has many names: Thomae, Riemann, popcorn, raindrop, ruler. It is defined on the closed interval [0,1] to be 1/q at reduced rationals p/q and 0 elsewhere. It has the curious property that it is continuous on the irrationals but discontinuous at every rational in (0,1) In contrast, the Dirichlet function (not shown here) is defined to be 1 on the rationals and 0 on the irrationals. It is discontinuous everywhere and its dull graph consists of two blurry linesComponente Curricular::Educação Superior::Ciências Exatas e da Terra::Matemática