利用有理数对实数逼近的表示方式，给出黎曼函数处处不可导的一种证明，给出单位圆周上的有理点在单位圆上稠密的证明。
Rational number can approximate to real number, use the notation of approximate one can prove Riemann function isn t differentiable anywhere, that the Rational points are dense in unit circle.
摘要利用有理数对实数逼近的表示方式，给出黎曼函数处处不可导的一种证明，给出单位圆周上的有理点在单位圆上稠密的证明。
Rational number can approximate to real number use the notation of approximate one can prove riemann function isn't differentiable anywhere that the rational points are dense in unit circle .
本文讨论了无最小周期的周期函数性质，论证了无最小周期的周期函数的处处不连续性以及这种周期函数的周期构成的集合的稠密性。
In this paper, some properties of the periodic functions without minimum period are shown, the main results are: the functions are discontinuous everywhere and the set of periods is dense.
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