黎曼

Similarly, some additional assumption is needed besides the Cauchy - Riemann equations, as the following example illustrates {{harv|Looman|1923|p=107

类似的有，有些在柯西-黎曼方程上额外的假定是必要的，下面的例子表明了这一点：{{harv|Looman|1923|p=107

In the first chapter, we study the metric deformation on Riemannian manifolds with boundary.

在第一章中，我们讨论了高维带边黎曼流形上的Ricci流。

Positive curvature has been a frequent subject in Riemannian geometry.

曲率是黎曼几何中的热门研究课题。

The relationship between the Riemannian geometric framework of Lagrange equation and the topology graph representation of classic mechanical systems is discussed.

讨论了经典力学系统中拉格朗日方程的黎曼几何表示和力学系统拓扑图表示之间的关系，作为应用。

It can be excluded with data dependent way based on Riemannian geometry for improved SVM.

基于黎曼几何的SVM数据依赖性改进方法能够剔除支持向量携带的冗余信息，改进SVM的性能。

Which have right or left limit everywhere are Riemannian integrable.

b上几乎处处存在右极限的抽象函数是黎曼可积的。

This paper describes objects by Riemannian manifolds and creates Voronoi diagrams based on charts.

提出采用黎曼流形描述研究对象和基于坐标卡生成Voronoi图的算法思路。

It also makes an introduction to Lie groups, the de Rham theorem, and Riemannian manifolds.

同时也对李群，de Rham定理，和黎曼流形作了简要介绍。

In Chapter 1,the history and sta-tus for control problem of wave equations and shalow shell models are reviewed,and then the main results of the thesis are summarized with necessary knowl-edge about Riemannian geometry introduced.

第一章介绍波动方程和浅壳控制问题的历史和现状，并给出了所需的黎曼几何预备知识以及本文的主要结果。

Two novel conformal transformations were proposed based on the Riemannian geometry theory and S.

以黎曼几何为理论依据，基于S。

Breath, muscle contraction of the buttocks; arch body, as far as possible to hold his head, right leg straight towards the ceiling (peg-leg knee in order to avoid muscle tension).

呼气，收缩臀部肌肉；拱起身体，尽量抬起头来，右腿伸直朝向天花板（膝微屈，以避免肌肉紧张）。

The cost of moving grain food products was unchanged from May, but year over year are up 8%.

粮食产品的运输费用与5月份相比没有变化，但却比去年同期高8％。