查询词典 spherical geometry

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。

Before hyperbolic geometry, mathematicians knew about two kinds of space, Euclidean space and spherical space. And they have different properties.

在有双曲几何前，数学家知道有两种空间－欧几里德空间和球面空间；它们具有不同的性质。

An explicit mathematical representation of the exact boundary of a ball Bézier surface was given by recurring to the envelope theory of the family of bivariate surfaces in the classic differential geometry, as well as the spherical coordinates and the Cramer's rule.

根据经典微分几何中双参数曲面族的包络原理，运用球面参数坐标和Cramer法则，给出了球域Bézier曲面边界的精确数学显式表达式。

The use of spherical coordinates triple integral calculation IV Application Multiple Integral Weight points at geometry, physics applications.

利用球面坐标计算三重积分第四单元重积分的应用重积分在几何、物理中应用。

The interface stability of the spherical shell geometry is better than that of the cylinder

球壳会聚结构比柱壳会聚结构的界面稳定性要好些。

As asteroids are relatively round, it is easy and fast to modify the geometry with spherical displacement maps.

小行星大都比较近似于球型，因而就可以简单而又快速地用球面位移贴图来修正它的几何结构。

The results show that the design method which unifies the stereographic projection and the spherical triangle analytic geometry is one kind of both simple and the quick methods.

研究表明，采用极射赤平投影和球面三角形解析几何相结合的设计计算方法，是一种既简便又快捷的定向钻进轨迹设计方法。

Our conclusion is : For general transport equation and some special transport equations (slab geometry, spherical symmetry, pillar symmetry) we can evaluate some relevant physical quantities and geometrical properties from the exiting photon flux. The method we will use is to transform the transport equation into integral equation by integrating it along its characteristics, then we prove the nonlinear operator K is monotone and continuous with respect to its arguments and obtain the existence of K~-1. Consequently, we can evaluate some relevant physical quantities and geometrical property of the medium.

我们得到的结论是：无论对于一般的迁移方程，还是当介质具有某种对称性时(板对称、球对称、柱对称)的迁移方程，我们都可以根据泄漏的光子流估计介质各种相关物理量和几何特性，所用方法都是将迁移方程通过沿特征线积分转化为积分方程的形式，然后证明非线性算子K关于自变量的单调性和连续性，从而得到逆算子K~(-1)存在，进而达到估计介质各种相关物理量和几何特性的目的。

The result of experiment proves that the algorithm features fast speed, high accuracy and offers visual geometry significance; and it is suitable for separation for spherical objects in image analysis.

实验结果证明，该算法运算速度快、精度高，具有比较直观的几何意义，适合运用于图像分析中对球状类型目标的分割。

Then the propagation of an arbitrary nonideal optical beam is analyzed. In terms of the moment theorem, the performance of modes of BOR is analyzed from both points of view of geometry optics and diffractive optics. Comparing BOR with the resonators using plane mirror and spherical mirror or using plane mirror and aspherical mirror by finite element method, the design procedure for BOR is gave.

然后以衍射的角谱理论为基础，用矩量定理讨论了任意光束的传播规律，从几何光学和衍射光学的角度完整地分析了二元光学谐振腔的模式特征，用有限元方法数值对二元光学谐振腔、非球面腔和球面腔进行衍射分析，比较了三种腔型的差异，给出了二元光学谐振腔的设计方法。

But we don't care about Battlegrounds.

但我们并不在乎沙场中的显露。

Ah! don't mention it, the butcher's shop is a horror.

啊！不用提了。提到肉，真是糟透了。