| 1. | The importance of the various solutions to one question - supported by the methods of the addition theorem of the cosine law
用余弦的加法定理不同的证明来说明一题多解的重要性 |
| 2. | In order to prove the arbitrary cardinal number alexandroff - urysohn addition theorem put forward in 1923 , the famous former soviet union topologist a . arhangel ' skii introduced network which is the important extension of base in 1959
1959年前苏联著名拓扑学家a arhangel ' skii为了证明1923年提出的任意基数的alexandroff - urysohn加法定理，引进了基概念的重要推广? ?网络( network ) 。 |
| 3. | Based on the extended boundary condition method and addition theorem of vector spherical functions , this paper study the light scattering problems of aggregate spheres from the angles of a single sphere , two - sphere system and multi - spheres system
本文基于扩展边界条件法及矢量球谐函数的加法定理，通过严格求解maxwell方程所得到的散射传输矩阵，对与入射波波长可比拟的群聚球形粒子的散射问题进行了研究。 |
| 4. | In chapter 4 windowed function of data signal processing is introduced and applied to addition theorem , which succeeds in solving the difficult problem : it has a bad result when recursive t - matrix is applied to calculate the wave scattering of electrically large objects and multiple objects in the excitation of te wave
在第四章中引入数字信号处理中的窗函数，成功解决了在入射波为te波时，用递推t矩阵法计算电大尺寸物体或多个散射体时，精度不高的问题。 |
| 5. | Since the antiplane scattering problems of local sites could be divided into two kinds : interior and exterior problems , main points to solve the problems are graf ' s addition theorem . so two expressions and suitable range of the graf ' s addition theorem are studied hi the paper . moreover , an auxiliary function method for mixed boundary - value problems are also discussed in this paper
由于典型局部场地弹性波出平面散射问题可以分为内域型和外域型两大类，求解这些问题的要点是要完成特殊函数在不同坐标系间的变换，因此本文对graf加法公式的两种表达及其适用范围做了研究，另外对解决混合边值问题的辅助函数法做了研究。 |
| 6. | The ratma can calculate the electromagnetic scattering of multiple cylinders , and can be used in remote sensing . in chapter 2 simply derivation of the ratma is given by the addition theorem , and the general t matrix of single cylinder is deduced . the worked out examples show th e effectiveness of the ratma in the analysis of the scattering field of single cylinder or multiple cylinders
由于递推t矩阵法不仅可以计算多个柱体或不同形状柱体的散射，而且可计算遥感上三维物体的散射，在第二章中，利用加法定理，简要地推导了递推t矩阵法，并用解析法推出了单个圆柱体在各种情况下的t矩阵(此t矩阵对导体和介质圆柱体的散射场计算都适用) ，最后计算了单个导体圆柱和两个不同大小介质圆柱体的散射场。 |
