超球面

By using the expansion of spherical wave functions for a cylindrical wave function and with the help of the theory of hypergeometric functions, the Sommerfeld type integral contained in the electromagnetic fields is expressed as a rapidly and absolutely convergent series of spherical wave functions; and the coefficients of the series are the Legender Polynomials with the complex argument for the constitutive parameter.

应用圆柱波函数的球面波展开式和超几何函数理论，场分量中的索末菲尔德型积分被表示成快速、绝对收敛的球面波函数系展开式；展开系数是以物性参数为复宗量的勒让德多项式。

By using the expansion of spherical wave functions for a cylindrical wave function and with the help of the theory of hypergeometric functions, the Sommerfeld type integral contained in the electromagnetic fields is expressed as a rapidly and absolutely convergent series of spherical wave functions; and the coefficients of the series are the Legender Polyno...

应用圆柱波函数的球面波展开式和超几何函数理论，场分量中的索末菲尔德型积分被表示成快速、绝对收敛的球面波函数系展开式；展开系数是以物性参数为复宗量的勒让德多项式。

According to the principle of the diameter of a circle corresponding to the right angle and the principle of short side for little angle in right triangle, projecting the initially-chosen point to the hyper-planes of the linear equation group in which every linear equation can be regarded as a hyper-plane and the projection points can be obtained. The initially-chosen point, and one arbitrary projection point, and the solution point are all on the surface of the relative hyper-geometry ball, therein-to, there is a projection point which is nearest to the solution point and it can be regarded as the next iterative initially-chosen point, so the solution problem of the linear equation group can be changed as an iterative problem of approaching the solution on the surface of a hyper-geometry ball.

根据直径对应的圆周角足直角以及直角三角形中短边对小角的原理进一步知道，当将初始点向线性方程组中各个方程所代表的超平面上投影得到投影点时，初始点和其任何一个投影点及方程组的解点都将位于一个相应的超球面上，其中必定存在一个投影点离问题解点的距离最短，即把该点作为下一次迭代的初始点，从而可将线性方程组求解的问题变成球面上逼近解点的迭代问题。

The function of threshold of MTS based on the hyper ellipsoidal support vector machine is established.

推导了基于超椭球面支持向量机的马田系统阈值确定公式。

Bolometric flux, hypersphere cosmology, large scale structure of universe, quasars, supernova, gamma ray burst, redshift periodicity

谱视亮度，超球面宇宙，宇宙大尺度时空结构，类星体，超新星，射线暴，红移周期性

ABSTRACT This thesis is devoted to the study on the characteristics of polymeric film bearings with polymer films electrochemically deposit...

本文研究了表面为聚合物薄膜的球面支承与超精密导轨平面构成的超精密测试导轨滑动副的摩擦与磨损性能。

From Karlsson's formula and the polar effect, we realize that the half periodic parameter of redshift is 0.206, in theory, we finally explain why the great wall is at redshift Z=0.079 in redshift space; We have defined quasar as the early star nearby the position poles and opposite poles, and given the answer for two difficult problems of theirs; Based on the course of explanation for redshift space, we have reason to think that our universe might be the linear expansion hyperspherical universe.

从Karlsson公式及极点效应，我们认识到红移的半周期参数为0.206，最终从理论上解释了为什么红移长城在红移空间的位置为 Z=0.079；我们定义类星体为在位置极点和异极点附近的早期恒星，进而给出与其相关的两个难题的答案；基于对红移空间的解释过程，我们有理由认为我们的宇宙是线性膨胀超球面宇宙。

To analyze and compare the characters of Fuzzy c-Means clustering and artificial immune network aiNet clustering, conclude that Fuzzy c-Means clustering does not work well if the underlying classes or clusters deviate strongly from hyperspherical structures, aiNet is capable of reducing redundancy, describing data structure, including the shape of clusters by experiments on relatively gathering data set, scattering data set, annular data set and corkscrew data set.

分析比较了模糊C 均值聚类算法FCM 和人工免疫网络aiNet 聚类算法的特性，通过它们对相对集中数据、稀疏分散数据、环状和螺旋分布数据聚类来进行比较，得到当遇到潜在的类或簇背离超球面结构时，FCM 算法表现不佳，而aiNet 可以很好的发现数据的内在特征，减少数据中的冗余、描述数据结构和聚类形状，表现良好的适应性。

The requirement of machining technology of aspheric surface optics parts by NC machine with Nanosys--300 aspheric surface ultraprecision compound machining system for single point diamond turning is introduced.

介绍了用金刚石单点车削的方法在&Nanosys--300非球面曲面超精密复合加工系统&数控机床上加工非球面曲面类光学零件时对加工工艺的要求。

In addition, we use contrast sensitivity and contrast acuity as indicators of visual function and try to investigate: 1 the impact of aging on corneal and total ocular HOAs 2 the change of HOAs after the cataract surgery 3 to compare intraindividually the HOAs and functional vision between implantation of spherical and aspherical IOLs.

二、接受白内障超音波乳化术并人工水晶体植入的病人手术前后角膜及眼球整体高阶像差的变化。三、比较接受白内障超音波乳化术并植入传统球面人工水晶体，或新型态非球面人工水晶体术后高阶像差及视觉品质的不同；并分析其可能影响因子。

Breath, muscle contraction of the buttocks; arch body, as far as possible to hold his head, right leg straight towards the ceiling (peg-leg knee in order to avoid muscle tension).

呼气，收缩臀部肌肉；拱起身体，尽量抬起头来，右腿伸直朝向天花板（膝微屈，以避免肌肉紧张）。

The cost of moving grain food products was unchanged from May, but year over year are up 8%.

粮食产品的运输费用与5月份相比没有变化，但却比去年同期高8％。