查询词典 sphere geometry

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

Because of mechanism parameters unknown and complicated mathematical calculations,it is very difficult for us to identify screw system independence. However,Klein projective geometry theory is used to discuss screw system dependence in this paper. As a result,it is very easy for us to identify screw system dependence by Klein projective geometry theory,so the problem of discriminating input selecting reasonability is solved.

将Klein映射理论应用到多自由度输入选取的判别中，讨论了3力3偶螺旋系的相关性，给出了相关性的判据，使相关性判别变得非常简单，避免了输入选取判别中复杂的数学运算和机构参数未知的问题，从而解决了输入选取的判别难题。

On this basis, it deeply analyzesed the spatial geometry structure of hyper spectral data lattice distribution, concluded that high\|dimensional space of remote sensing hyper spectral data belong to low\|dimensional geometry structure \|"hyperplane" shape, and anomaly point group which includes alteration information usually dissociates out the "hyperplane".

在此基础上，对高光谱数据点阵分布的空间几何结构进行了深入的研究分析，推断出遥感高光谱数据集合的高维空间属于低维几何结构"超平面"形态，而包含蚀变信息在内的异常点群通常会游离在"超平面"之外。

After analyzing the problems of traditional geometry curriculum in junior high school, we can find that the key of innovation lies in two factors, reflecting the content and method of modern geometry and closing to the students real life at the same time.

我国的几何课程也正处在改革之中，通过对我国传统几何课程中的问题加以分析可以发现，如何让初中几反映出现代几何的内容和方法，同时尽量贴近学生的生活是我国几何课程改革的重点之所在。

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。

Riemann's new idea of space proved crucial in Einstein 's general relativity theory and Riemannian geometry , which considers very general spaces in which the notion of length is defined, is a mainstay of modern geometry.

黎曼的新思路的关键空间证明爱因斯坦的广义相对论理论和黎曼几何，其中认为非常笼统的空间中，长度的概念界定，是一个主体的现代几何。

Modern geometry has multiple strong bonds with physics , exemplified by the ties between Riemannian geometry and general relativity .

自十九世纪以来发现非欧几里德几何，空间的概念，经历了一个彻底转变。

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。

The fractal geometry can simulate natural objects such as clouds,mountains more efficiently than conventional Euclidean geometry.

对分形自然景物模拟中的随机中点位移法和分形插值算法进行了回顾和分析，给出了基于Diamond-Square算法的山峰纹理图和蓝天白云的详细设计和迭代实现过程。

Warden: That's a beautiful dog, but don't bring her again.

那是条漂亮的狗，但是不要再把她带来了。

You get up in the morning – no hangover!

你第二天早上起来的时候—不会宿醉！