1·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。
2·After constrcting the perfective space prove that this space is just the space of lebes gue integratiable function thus explain that lebes gue integral is the form of the perfective riemann integral.
在构造了完备化空间之后，证明了该空间就是勒贝格可积函数空间，从而说明了黎曼积分的完备化形式是勒贝格积分。
3·It is difficult for learner to understand the concept of Riemann integral which is defined by using the limit of Riemann sum.
用积分和的极限定义的黎曼积分对于初学者来说是一个很难理解的概念。
4·Euler equations of generalized Riemann variable are derived from unsteady primitive variable Euler equations and solved by using two - a point-two-step upwind finite difference method.
该方法将原参数非定常欧拉方程组重新组合成以广义黎曼变量表示的欧拉方程组，再用二点二步迎风格式离散求解。
5·The generalized Riemann problem for a class of decoupled nonlinear hyperbolic system of conservation laws is studied.
研究一类解耦非线性双曲守恒律系统的广义黎曼问题。