1) Riemann Space
Riemann空间
2) Riemann-Cartan space
Riemann-Cartan空间
1.
d Alembert-Lagrange principle on Riemann-Cartan space;
Riemann-Cartan空间中的d’Alembert-Lagrange原理
2.
The method of nonholonomic mapping is utilized to construct a Riemann-Cartan space embedded into a known Riemann space.
利用非完整映射方法,从一个已知Riemann空间构造一个嵌入其中的Riemann-Cartan空间。
3.
In the Riemann-Cartan space,owing to torsion,the geodesics and the autoparallels are different.
由于挠率的作用,Riemann-Cartan空间中测地线与自平行线不再重合,在该空间中,自由粒子的轨迹应该是自平行线,这是平直空间中惯性原理的自然推广。
3) compact symmetric space
紧Riemann对称空间
4) Riemann solver
Riemann解
1.
The numerical flux of the interface between cells are computed by the exact Riemann solver,and the improved dry Riemann solver is used to deal with wet/dry problem.
应用准确Riemann解求解法向数值通量,用改正的干底Riemann解处理动边界问题。
2.
The numerical flux of the interface between cells are computed by exact Riemann solver, and the improved dry Riemann solver is applied to deal with wet/dry problem.
应用准确Riemann解求解法向数值通量,用改正的干底 Riemann解处理动边界问题。
5) Riemann solution
Riemann解
1.
The Godunov scheme with an exact Riemann solution is used to solve the shallow water equations, and the classical Riemann solution on dry flat bed is improved to be suitable to the moving boundary with non-flat bed.
采用基于准确Riemann解的Godunov格式求解浅水流动方程,将仅适用于平底的干底Riemann解推广到处理非平底动边界问题。
2.
Based on exact the Riemann solution, this paper presents a Godunovtype scheme for 1D shallowwater equations with uneven bottom Central difference and the Riemann solution with "water level formulation" are used in the discretisation of the source term to keep the scheme wellbalanced Numerical experiments are presented to demonstrate that the scheme is robust, versatile and high in resolution
以准确Riemann解为基础,建立了求解一维非平底浅水流动方程的Godunov格式,用"水位方程法(WaterLevelFormulation,WLF)"求解Riemann解,结合中心差分和Riemann解离散底坡项,保证了计算格式的和谐性。
6) Riemann sum
Riemann和
1.
A criterion for Lebesgue integrability in terms of Riemann sum;
Lebesgue可积性的一个Riemann和判别准则
2.
Convergence Rate for a Kind of Riemann Sum of Convex Function;
凸函数的一类Riemann和的收敛速度
补充资料：Riemann空间
Riemann空间
Riemamrian space
Ri~空I’edl形~风，ce;p“Maaoao npoeT-Pallc伽] 一种空问，在它的小区域中Euclid几何学(除了阶数高于该区域维数的无穷小以外)近似成立，虽然在大范围内这种空间可以是非Eue血的.这种空间以B.凡eIT以nn的名字命名，他在1854年概括描述了这种空间的理论基础(见Ri已比口nn几何学(Ri~gco代-try)).最简单的Rie仃笼，nn空间是E仪lid空间和另外两种与Euclid空间密切相关的常数曲率空间，在这两种空间中分别成立而6叭eBc以旅几何学(Lobachevs兹罗~坷)(亦称双曲几何学(11yPer比lic geo摆卿”和Ri~几何学(Ri~ian geo叱try)(亦称椭圆几何学(elliPtic geon把仰)). 根据EC3一3中文章“Rierr以n力空间”中材料撰写.【补注1 Rierr以nn空间亦称瓦ernann流形. 参考文献见Ri印圈nll张最(Riel刀白nn tensor);Rial..l几何学(Rlelnan田an geo能try). 潘养廉译
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