椭圆几何

Some geometric data of ellipse in hyperbolic space are considered, such as set inclusion, arc length, geodesic curvature, curvature, area and total curvature.

摘要在双曲空间中，考察椭圆的包含关系，对弧长元素、测地曲率、曲率、面积及全曲率等几何量做出细致考察。

The most important idea is that over the complex numbers, an elliptic curve looks like a torus, and the points of finite order in the group of the curve have a very simple geometric description.

最重要的思想是复数域上的椭圆曲线是一个环面，曲线簇中的有限阶点有简单的几何描述。

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。

The spatial geometry parameters of the deformation ellipse can be calculated through accurate spatial ellipse fitting.

通过高精度的空间椭圆拟合可以解算出变形椭圆的空间几何参数。

Based on the basic concept and nomoment theory of rotational shell,the geometry and membrane stresses of the ellipsoidal head are discussed in this paper.

根据回转壳体的基本概念及回转薄壳的无力矩理论，探讨了椭圆封头的几何形状及其薄膜应力等问题。

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 direction of maximal radiation of the main beam must be directed into the geometrical center of the elliptic surface of the offset parabola.

主波束最大辐射方向必须瞄准偏馈抛物面椭圆表面的几何中心。

The results of the experiment agree with the theory.TEM00 mode output in which the ellipticity is 0.98 and M2 is 1.01 was obtained.

利用实验结果指导腔调节，可使泵浦光轴线与几何腔轴精确重合，获得了椭圆率为0.98、M2因子为1.01的基模输出。

When UAV flying in horizontal, we described the formation of errors as changes from circle to ellipse in geometry, called ellipse hypothesis.

研究了飞机平飞时磁航向系统误差的形成过程，并把该过程描述为几何上从圆到椭圆的变化过程，即所谓椭圆假设。

Finally, the splats are rendered from far to near by using elliptical weighted average filtering.

首先根据构造的移动最小二乘曲面计算采样点的表面几何属性，然后根据协方差分析确定点元在其切平面上的椭圆表示，最后采用椭圆加权平均滤波从远到近单遍绘制各点元。

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。