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1·Can mathematicians prove the Riemann hypothesis?

数学家可以证明黎曼猜想吗？

2·In his lecture Riemann covered an enormous variety of topics.

里曼的演讲涵盖了各种各样的主题。

3·So, do not cry, there is healthy life without the Riemann hypothesis.

所以，不要哭，没有黎曼假设依然能够有健康的生活。

4·It will also be capable of evaluating definite integrals and Riemann sums.

同时，它还可处理定积分和黎曼积分。

5·These two airfoils lie on different Riemann sheets in the hodograph plane.

该两个翼型处在不同的黎曼面内。

6·Riemann treats the basic element of music as the basic kernel of musical art.

里曼将音乐的基本要素，看作是音乐艺术实现的基本内核。

7·And because of the limitations of Riemann Integration, it can only be used for continuous function.

而由于黎曼积分具有局限性，黎曼积分只能用于连续函数类的积分。

8·Research of the group of motions in Riemann manifold is an important question of the differential geometry.

黎曼流形运动群的研究是微分几何中一个重要问题。

9·Analytic number theory is fortunate to have one of the most famous unsolved problems, the Riemann hypothesis.

解析数论非常幸运还有一个最为有名的未解决的问题，即黎曼假设。

10·Furthermore, we compute the Riemann solution by using a bisection method combined with the phase-plane analysis.

进一步地，我们采用二分法与相平面分析结合的方法计算压差方程的数值解。