查询词典 elliptic geometry

In this paper we define the concept of Projective Blaschke manifolds and extend the theory of equiaffine differential geometry to the projective Blaschke manifolds. We prved that if M be a complete projective Blaschke n-sphere and its universal covering manifold is isometric to a complete (n+1) dimensional parabolic, elliptic or hyperbolic affine hypersphere, then M is a quotient space of E^n, S^n or D^n by a isometric subgroup of its corresponding spaces.

在这篇文章中我们定义了射影Blaschke流形的概念，将等仿射微分几何的理论推广到了射影Blaschke流形，并证明：如果n维完备射影Blaschke 超球面 M 的通用覆盖流形分别是完备的抛物型、椭圆型或双曲型仿射球，则M分别是n维欧氏空间、n维超球面或n维单位圆盘关于各自空间的一个等距离散子群的商，从而对完备射影Blaschke 超球面进行了分类。

It begins with a historical introductory chapter, and then devotes three chapters to surveying real projective geometry, and three to elliptic geometry.

它从历史绪论，然后用了三个篇章测量实际射影几何和3至椭圆几何。

The book is structured so that the reader may choose parts of the text to read and still take away a completed picture of some area of differential geometry Beginning at the introductory level with curves in Euclidean space, the sections become more challenging, arriving finally at the advanced topics which form the greatest part of the book:transformation groups, the geometry of differential equations,geometric structures, the equivalence problem the geometry of elliptic operators, G-structures and contact geometry.

这本书是结构，以便读者可以选择部分文本阅读，还带了一个完整的画面，有些地区的微分几何开始入门级和曲线的部分，在欧氏空间变得更有挑战性，终于到达了高级的主题，形成了最大的一部分书：变换团体、几何的微分方程、几何结构、等价问题的几何形状，G-structures椭圆算子和接触几何。

Concave design showed better stress performances than convex design both on values and distributions. Rotational freedom was confined by elliptic geometry and resulted in 61.36 MPa von Mises stress, which was larger than the other motions except flexion.

在椭圆曲面设计的分析方面，因其几何外型的限制，在旋转动做下发生了相当高的von Mises应力(61.36MPa)，仅次於该设计於前弯动作下时之值。

The infinite elliptic cone geometry can be transformed into the two-dimensional plane under the assumption of pure TEM spherical waves. The closed-form solutions for the characteristic parameters are obtained.

应用坐标变换和共形变换研究椭圆双锥天线，在传输纯TEM波的假设下，把无限长椭圆双锥结构变换为二维平面结构，从而得到椭圆双锥天线输入阻抗闭合解，其典型结果与文献一致。

Further study will aim on the effect of geometry (long/short axes ratio) and motion patterns on elliptic design.

后续研究将针对椭圆曲面之长短轴设计及其运动型态进行分析。

In this paper,the existence of the nontrivial solution to a class of quasi-linear elliptic problem is investigated based on the Hardy inequality and the Mountain Pass Geometry.

使用Hardy不等式和山路几何研究了一类拟线性椭圆问题非平凡解的存在性。由于难以得到所讨论的问题的基本解，因此研究中对基本解进行了估计，并证明了c条件

On the other hand, the more important thing is because the urban housing is a kind of heterogeneity products.

另一方面，更重要的是由于城市住房是一种异质性产品。

Climate histogram is the fall that collects place measure calm value, cent serves as cross axle for a few equal interval, the area that the frequency that the value appears according to place is accumulated and becomes will be determined inside each interval, discharge the graph that rise with post, also be called histogram.

气候直方图是将所收集的降水量测定值，分为几个相等的区间作为横轴，并将各区间内所测定值依所出现的次数累积而成的面积，用柱子排起来的图形，也叫做柱状图。