查询词典 differential geometry

The idea of Gauss initiated the study of "intrinsic geometry" and made differential geometry an independent subject of mathematics.

由此开创了曲面的内蕴几何学的研究，使微分几何成为一门真正独立的学科。

Contemporary differential geometry is intrinsic , meaning that space is a manifold and structure is given by a Riemannian metric , or analogue, locally determining a geometry that is variable from point to point.

微分几何，这是简单的几何的曲率，已越来越重要，因为对数学物理的建议空间不是平坦的空间。

Gauss（1777—1855）; intrinsic differential geometry ; non-Euclidean geometry ; Gaussian curvature ; Gauss-Bonnet Theorem

高斯（C.F.Gauss ； 1777—1855）；内蕴微分几何学；非欧几何；高斯曲率；高斯-博内定理

Gauss （ 1777-1855 ）; intrinsic differential geometry; non-Euclidean geometry ; Gaussian curvature ;Gauss-Bonnet Theorem

高斯（C.F.Gauss，1777—1855）内蕴微分几何学非欧几何高斯曲率高斯-博内定理

Gauss(1777—1855);intrinsic differential geometry;non-Euclidean geometry;Gaussian curvature;Gauss-Bonnet Theorem

Gauss，1777-1855；内蕴微分几何学；非欧几何；高斯曲率；高斯-博内定理

The authors' intention is that the reader should gain a new understanding of geometry from the process of reading this survey 2~In this volume of the Encyclopaedia, the authors give a tour of the principal areas and methods of modern differential geometry.

作者的意图是读者应该获得一个新的理解几何的阅读的过程中该调查2 ~在这本书中，作者给出了百科全书的主要领域和现代微分几何。

Discrete calculus , discrete probability distribution s, discrete Fourier transform s, discrete geometry , discrete logarithm s, discrete differential geometry , discrete exterior calculus , discrete Morse theory , difference equation s, and discrete dynamical system s.

在应用数学中，离散模型连续模型的离散近似。在离散模型中，离散方程are fit to 数据。使用递推关系是这种建模方式的一般方法。时标微积分是差分方程理论与微分方程理论的统一，应用在需要建立离散和连续同步数据模型的领域。

Applying theories of Vector geometry and differential calculus, this paper aims to infer the internal force and geometry equations for curved beam, whose axis curve is parabola and being distributing-load.

目的 对形心轴线为二次抛物线形曲线梁的内力、几何方程进行理论分析与公式推导。

Differential Geometry of Curves and Surfaces: A Concise Guide presents traditional material in this field along with important ideas of Riemannian geometry.

曲线和表面的不同几何学：一本简明的指南跟Riemannian 几何学的重要的想法一起在这个领域提出传统的材料。

It is embodied in the three research programs of modern physics:(1) According to the program of geometrization of physics, the essence of the Curved Space in gravitational field needs to be explicated by Riemannian geometry, differential geometry, tensor analysis;(2)According to the program of quantum field theory, the generation and annihilation operator can represen...

它分别体现在现代物理学的三大研究纲领中：(1)根据物理学的几何化纲领，引力场弯曲空间的奥秘需要通过黎曼几何、微分几何与张量分析来解读；(2)根据量子场论纲领，场理论的&产生和湮灭&算符，能方便而精确地表征和重构相关的微观作用机制；&场的本体论&和&生成辩证法&同时得到体现。

Great. What repertoire did you see?

太棒了。你看的是什么剧目？

I prepared not to accept such ridiculousness:"Please," I said to him.

我可不想理会这套荒谬的东西："请你通情达理一点儿。"