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 .
定义了区间I上的均匀可导函数，给出了区间i上函数均匀可导的两个充要条件。
The uniformly derivable function on the interval I is defined, and two sufficient and necessary conditions of uniformly derivable function are given.
用三次多项式在硬阈值的基础上插值，使新的阈值函数保持了连续性和可导性。
The continuity and differentiability are achieved by using cubic polynomial interpolation based on hard thresholding.
本文通过对开区间内连续可导函数的详细分析讨论，给出了一种求开区间上连续可导函数最 大值和最小值的普遍方法。
This paper gives a general method of how to solve the maximum and minimum of the continuous derivatived functions in open interval by a detailed analysis.
本文通过对开区间内连续可导函数的详细分析讨论，给出了一种求开区间上连续可导函数最 大值和最小值的普遍方法。
This paper gives a general method of how to solve the maximum and minimum of the continuous derivatived functions in open interval by a detailed analysis.
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