英语释义

• pioneer of non-Euclidean geometry (1826-1866)

片语

riemann principleriemann引理

Hotel Riemann黎曼酒店

riemann hypothesis[数] 黎曼假设（等于黎曼猜想）

Riemann solver黎曼解算子

riemann space黎曼空间

Riemann curvature黎曼曲率

Riemann geometry黎曼几何

riemann tensor黎曼张量

riemann integral[数] 黎曼积分

rsums Riemann求和

Riemann Sums黎曼和

英汉例句

• In concluding this talk I wish to emphasize my advocacy for analytic number theory by saying again that the theory flourishes with or without the Riemann hypothesis.

  在结束这次讲话时，我愿通过再次说明，数论将在无论有还是没有黎曼假设的情况下继续繁荣，来强调我对于解析数论的拥护。

• Can mathematicians prove the Riemann hypothesis?

  数学家可以证明黎曼猜想吗？

• We used the relationship of the Riemann symmetric space and the symmetric algebra, a matrix inequality to provided a estimate sectional curvature of a complex manifold.

  利用黎曼对称空间同正交对称李代数之间的密切关系及一个矩阵不等式给出了一个复流形上截面曲率的上界的精确估计。

• According to our numerical experiments, this scheme is good for computing the Riemann solution consist of only strong simple waves, but bad for the Riemann solution which contains weak simple w.

  此格式对于计算压差方程只包含强简单波的黎曼解是很好的，对于计算压差方程的包含弱简单波的数值解是不适用的。

• In this paper we give some simpler definitions of definite integral, and show that they are all equivalent to the definition of Riemann integral.

  本文给出了定积分的几个较简单的定义，并证明这些定义均与黎曼积分定义等价。

• We combine Riemann globe with it by Mobius transformation, thus it is developed that the connotation and the extension of aberration effect.

  本文对光行差效应进行了较为深入的探讨，通过麦比乌斯变换将其与黎曼球联系了起来，从而极大地拓展了光行差效应的内涵与外。

• Based on Darboux theory, this paper discussed the integrability of the Riemann Integral and provides a necessary and sufficient condition for integrability.

  文章利用达布和理论，讨论了黎曼积分的可积性问题，给出了一个可积的充分必要条件。

• It is very convenient to calculate the object volume to use Riemann sum after obtained the object surface region equation.

  在已知空间物体表面区域方程的前提下，利用黎曼和可以方便地求出被测物体的体积。

• Under the framework of finite volume method, the Riemann approximate solver is applied to obtain the numerical solution of the equation.

  模型在有限体积法框架下应用黎曼近似解求得耦合方程的数值解。

• 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。

• It proves that the estimate sectional curvature of a quaternion manifold is very useful for Riemann symmetric space.

  它进一步说明一个四元流形的截面曲率的估计对许多对称黎曼空间都是有效的。

• 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。

• 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。

• In hydrodynamics, however, the scheme for numerical flux is constructed from the solution of the generalized Riemann problem in the present research.

  本文采用求解非齐次方程组的广义黎曼问题解，对模型数值通量计算格式进行了修改。

• 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。

• 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。

• 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。

• Actually, many brilliant ideas have evolved while one was trying to avoid the Riemann hypothesis, and results were found which cannot be derived from the Riemann hypothesis.

  事实上，在人们试图回避黎曼假设时，许多有才气的想法获得进展，发现了一些绝对不可能得自黎曼假设的结果。

• 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。

• 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.

  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。

• According to the monitoring data from conventional monitoring points of the Taihu lake, a 2-d model for algae growth in the lake was developed based on the Riemann approximate solution model.

  利用太湖常规监测点的监测资料，在黎曼近似解模型的基础上建立了太湖二维藻类生长模型。

• According to our numerical experiments, this scheme is good for computing the Riemann solution consist of only strong simple waves, but bad for the Riemann solution which contains weak simple waves.

  此格式对于计算压差方程只包含强简单波的黎曼解是适合的，对于计算压差方程的包含弱简单波的黎曼解则不适用。

• The article mainly discusses the aberration effect. We combine Riemann globe with it by Mobius transformation, thus it is developed that the connotation and the extension of aberration effect.

  本文对光行差效应进行了较为深入的探讨，通过麦比乌斯变换将其与黎曼球联系了起来，从而极大地拓展了光行差效应的内涵与外延。