研究一类解耦非线性双曲守恒律系统的广义黎曼问题。
The generalized Riemann problem for a class of decoupled nonlinear hyperbolic system of conservation laws is studied.
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。
In hydrodynamics, however, the scheme for numerical flux is constructed from the solution of the generalized Riemann problem in the present research.
并由此讨论了紧致的非单连通黎曼流形上无穷多的闭测地线存在性问题。
Also, the paper discuss the existence of the infinite closed geodesics of a compact no-simply connected Riemannian manifold.
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。
Analytic number theory is fortunate to have one of the most famous unsolved problems, the Riemann hypothesis.
最后，应用近似化方法和黎曼度量方法，研究了机器人最优轨迹规划的问题。
In the end, the problem of robot trajectory planning is investigated by the linearization method and Riemannian metric.
黎曼流形运动群的研究是微分几何中一个重要问题。
Research of the group of motions in Riemann manifold is an important question of the differential geometry.
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。
Based on Darboux theory, this paper discussed the integrability of the Riemann Integral and provides a necessary and sufficient condition for integrability.
利用柯西黎曼条件和偏微分方程理论，得到了一类非线性RH问题的求解方法，并通过实例表明该方法是可行的。
In this paper, we get a method to solve a non-linear RH problem by the Cauchy-Riemann conditions and the theories of partial differential equation.
文章研究的是解析函数的等价命题和解析函数及其柯西—黎曼方程在解决物理学中平面场的无源无旋问题中的应用。
This paper discusses several equivalent propositions in analytic function and their application to the nonsource and irrotation problems of plane field in physics.
本文提出一种基于黎曼度量的训练样本类不平衡问题的分类方法。
A method based on Riemannian metric to the classification problem with imbalanced training data was proposed.
在黎曼位形空间中研究了约束多体系统的动力学问题。
The dynamic problem of constrained multibody systems in Riemannian configuration space is researched.
本文主要对上述三个问题进行较为深入的研究，并把前两个问题推广到黎曼流行上。
In this paper, we focus on these three problems and extend first two problems to Riemannian manifolds.
本文主要对上述三个问题进行较为深入的研究，并把前两个问题推广到黎曼流行上。
In this paper, we focus on these three problems and extend first two problems to Riemannian manifolds.
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