复数域

Based on this thought, in this thesis, the alternation theorem is first extended to the Chebyshev approximation problems with inequality constraints, and then two algorithms are devised for designing linear phase FIR filters with inequality constraints in Chebyshev sense according to the extended theorem.

L.J.Karam和McClellan在文献[20]中把交错点组定理扩展到复数域，并提出了求解复系数FIR滤波器的复Remez算法，但由于此扩展定理只是一个充分条件，所以此算法不能保证得到最优解。在文献[23]中，他们对复Remez算法进行了完善，使其收敛到最优解。

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。

A new method based on two-dimensional feature extraction in the complex domain is proposed for face recognition in this paper.

摘要该文提出了一种新的基于复数域中的二维特征提取方法进行人脸识别。

In the case of complex field, many authors discussed the problem, but complete classification table did not appear.

在复数域的情形，该问题已被许多文献广泛研究，但并未给出完整的分类表。

Jordan normal form in a complex domain existence and uniqueness of these two important properties, is a powerful tool for problem solving, use of these two properties can effectively streamline the difficulties to obtain the multiplier effect.

Jordan标准形在复数域中有存在性和唯一性这两个重要性质，是我们解题的有利工具，运用这两个性质能有效的简化问题的难度，以取得事半功倍的效果。

The field of complex numbers, usual complex functions (exponentials ...).

在复数域，通常复杂的功能

The noise radiation of the gear case is estimated by a special method, in which, the impact of the vibration phase of each partial surface and the time of the sound wave from the surface to the position at which the noise is calculated are taken into account.

考虑到噪声辐射面各部分的振动相位和声波从它们传播到计算噪声点的时间互有区别，使用了在复数域迭加声波的辐射噪声计算方法。用这种方法计算了齿轮箱的辐射噪声分布。与已有的理论和试验结果进行了对比。

We show several necessary and sufficient conditions for the invertibility of commutator of idempotent and involutory matrices.

研究了复数域上两个n阶幂等矩阵P与Q的换位子PQ-QP的可逆性问题。

This paper describes a novel method of processing complex phasors in digital holographic interferometry.

描写了一种新颖的在复数域处理数字全息干涉的方法。

Part 4 (chapter5) The weighted-star partial ordering is defined, some characterizations are given using the weighted inverse, and the relation between the partial ordering with the existing partial ordering of the matrices are discussed.

4利用加权广义逆定义复数域上矩阵的加权*序，给出它们的若干性质和等价刻划，讨论它们与已有的矩阵偏序之间的关系，并推广关于矩阵*序的有关结果。

It has been put forward that there exists single Ball point and double Ball points on the symmetrical connecting-rod curves of equilateral mechanisms.

从鲍尔点的形成原理出发，分析对称连杆曲线上鲍尔点的产生条件，提出等边机构的对称连杆曲线上有单鲍尔点和双鲍尔点。

The factory affiliated to the Group primarily manufactures multiple-purpose pincers, baking kits, knives, scissors, kitchenware, gardening tools and beauty care kits as well as other hardware tools, the annual production value of which reaches US$ 30 million dollars.

集团所属工厂主要生产多用钳、烤具、刀具、剪刀、厨具、花园工具、美容套等五金产品，年生产总值3000万美元，产品价廉物美、选料上乘、质量保证，深受国内外客户的青睐