查询词典 differential geometry

Let x: M→S(superscript n+1)(n≥3) be a hypersurface in the (n+1)-dimensional unit sphere without umbilic points. Denote the Mbius metric, the Mbius form, the Blaschke form and the Mbius second fundamental form of x by G,Ф, A and B, repcectively, which are Mbius invariants in Mbius differential geometry.

设x： M→S(上标 n+1)(n≥3)是n+1-维单位球中的无脐点超曲面，Mbius不变量G，Ф，A和B分别表示x的Mbius度量，Mbius形式，Blaschke形式和Mbius第二基本形式。

By dropping this assumption of fixed topology and metric, one can investigate alternative theories within differential geometry that yield an appropriately changing topological structure, and search for and check its testable consequences.

通过抛弃这一拓扑与量度确定不变的假设，在一个能生成一种适当的变化性拓扑架构的微分几何学之中，我们就可以探究其他的理论并寻找与检验其可检验的结果。

The Enneper's minimal surface is the unique cubic parametric polynomial minimal surface one can find and one can not find any high order polynomial minimal surface in the differential Geometry literatures.

极小曲面被广泛应用于建筑设计，飞机轮船制造业，在结构化学，材料科学，植物学，动物学等领域被用作各种模型，在这些应用领域已有很多文献出现，但是，在CAGD领域几乎还没有关于极小曲面造型方面的工作。

The result not only enriched the theory of minimal surface in differential geometry, but also enhanced the application of minimal surfaces in CAD systems.

本研究不仅丰富了微分几何中的极小曲面理论，对极小曲面在CAD系统中的应用也有重要意义。

Introducing the fundamental knowledge of modern differential geometry, we present the geometric descriptions of Lie symmetry of the system.

将现代微分几何知识引入机电动力系统，给出该系统Lie对称性的几何描述。

The geometrical frameworks for constrained mechanical systems are stud-ied with the help of modern differential geometry in this thesis.

本文用现代微分几何方法研究约束力学系统的几何结构。

This article sets up a state equation of reactor power control, making- use of the differential geometry theory of modern cybernetics, and applying this theory to deal with the non-linear neuclear dynamics model .

本文建立了反应堆功率调节系统的状态方程，运用现代控制理论中微分几何理论对非线性核动力学模型进行线性化处理，根据观察器理论，构造了状态变量C的观察器，研究了在反应堆功率和反应性两种扰动下反应堆全反馈功率调节系统的品质。

First of all,by use of the modern differential geometry and the double complex functionmethod,the definitions of dual and self-dual operators as well as ordinarycomplex Ashtekar connections are extended into parametric forms.

首先利用现代微分几何和二重复函数方法将对偶，自对偶算符的定义以及普通复阿西特卡联络推广为参数化形式。

The ideas and methods of modern differential geometry have found wide application in classical mechanics, in the theory of multibody system dynamics, and in the Lagrangian and Hamiltonian formalisms of mechanics.

微分几何动力学建模理论已经广泛应用于经典力学，多刚体动力学理论和Lagrange和Hamilton动力学建模理论当中。

Geodesic, which was initially proposed by Bernoulli and ever demonstrated by Gauss, is as a foundational concept in the modern differential geometry and has been used as one of the foundations of all the general relativity. However, it implicates lots of logic paradoxes.

作为构造整个"广义相对论"的形式基础之一，现代微分几何中由Bernoulli最初提出并经过Gauss论证的"测地线"概念隐含大量逻辑悖论。

Do you know, i need you to come back

你知道吗，我需要你回来

Yang yinshu、Wang xiangsheng、Li decang,The first discovery of haemaphysalis conicinna.

1〕 杨银书，王祥生，李德昌。安徽省首次发现嗜群血蜱。