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==Properties==
{{unordered list
|Thomae's function <math>f</math> is [[Bounded function|'''bounded''']] and maps all real numbers to the [[unit interval]]:<math>
|<math>f</math> is [[periodic function|'''periodic''']] with period <math>1:\; f(x + n) = f(x)</math> for all [[integer]]s {{mvar|n}} and all real {{mvar|x}}.
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