复数域

This is quite useful: one may safely enlarge the field ''K'', for instance to get an algebraically closed field; Jordan forms can then be computed over the large field and can be used to determine whether the given matrices are similar over the small field.

不是所有的矩阵都可以对角化，但至少在复数域内，所有的矩阵都相似于一些被称为

Let A" denote the commutant of a bounded linear operator S on H and R denote the collection of all operators in A" which are compact and upper triangular operators with diagonal sequence being zeros. In this paper, we show that if A"= CI + R, the K_0-group of A" is isomorphic to the integer group.

本文指出若H上的有界线性算子S的换位代数A′=CI+R，其中C是复数域，I是H上的单位算子，R是所有与S可交换的对角线为0的紧上三角有界线性算子的集合，则K_0A′

The shortest path between two truths in the real domain passes through the complex domain.

（在实数域中，连接两个真理的最短的路径是通过复数域。

By using unified method , we investigate decomposability of real or complex cubic polynomials in several elements .

这里，本文将运用统一的方法对实数域和复数域上的多元三次多项式的分解问题加以讨论。

After a cubic polynomial with several elements is represents as a product of matrices , a sufficient and necessary condifion for decomposability is given , i.e.

首先介绍实数域和复数域上的二元二次多项式的分解问题，然后引入多元三次多项式分解。

Three network coding protocols, i.e., non-regenerative network coding protocol, regenerative complex field network coding protocol and regener-ative Galois field network coding protocol are proposed and applied to the multicastnetwork to enhance the throughput.

然后，本文研究了两源、两宿、单中继的协作组播网络，提出了三种网络编码协议，即非再生网络编码(Non-Regenerative NetworkCoding，NRNC)、复数域再生网络编码(Regenerative Complex FiledNetwork Coding，RCNC)和伽罗华域再生网络编码(Regenerative GaloisFiled Network Coding，RGNC)。

Quadratic phase coupling analysis is extended to complex domain in this chapter,〓-D spectrum method is adopted to obtain the coupling and coupled components separately by using different cumulant definitions of complex process. This property can be used to avoid confusion when multigroup quadratic phase coupling relationships are involved.

然后本章将二次相位耦合的研究拓展至复数域，通过改变复数信号三阶累积量的定义方式，分别在〓维谱中得到参加耦合的谐波分量和耦合产生的谐波分量，在同时存在多组耦合时，可以避免产生混淆。

On the basis of Ritter real morphological associative memory, complex lattices and complex rings are defined respectively through introducing two ordinal relationships between complex numbers, consequently the same recall rules are obtained as RMAM in complex domain and construct a class of complex MAM, called extended RMAM. The CMAM can directly process complex signals such as FFT-ed complex data.

在Ritter的实域形态联想记忆(real morphological associative memory，简称RMAM)模型的基础上，通过在复数域中序关系的引入构成复数格和环，导出了在复数域上与RMAM相一致的联想规则，构建了一类复域MAM(complex MAM，简称CMAM)，从而将RMAM从实域推广至复域，使其可直接处理复信号如经FFT(fast Fourier Transformation变换所得数据。

At the same time,comparing the properties and applications of orthogonal matrix,we discuss the properties and applications of the generalized orthogonal matrix.

对照实数域上正交矩阵的性质和应用的研究，讨论了复数域上酉矩阵的性质以及应用。

Two kinds of Unitary transitions are proposed to transfer complex-valued matrix computation to real-valued matrix computation.

给出了两类酉变换矩阵，将复数域的矩阵运算转换到实数域。

With Death guitarist Schuldiner adopting vocal duties, the band made a major impact on the scene.

随着死亡的吉他手Schuldiner接受主唱的职务，乐队在现实中树立了重要的影响。

But he could still end up breakfasting on Swiss-government issue muesli because all six are accused of nicking around 45 million pounds they should have paid to FIFA.

不过他最后仍有可能沦为瑞士政府&议事餐桌&上的一道早餐，因为这所有六个人都被指控把本应支付给国际足联的大约4500万英镑骗了个精光。