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Quasi diagonally dominant matrix with chain of non-zero elements ; Comparison matrix ; Principal minor

本文主要讨论了拟具非零元素链对角占优矩阵的几个性质,丰富了拟具非零元素链对角占优矩阵的理论。

A efficient LU decomposition method is spectral factorization. That is, after the minimum phase correlative function of each array of matrix had be given by a spectral factorization method, all of the functions are arranged in a position according to its former location to get a lower triangular matrix.

谱法LU分解的优点是在对大量具有相同非零结构的矩阵分解时,通过建立包含所有具有不同非零元素的列对应的自相关函数的分解表,使得随后的所有矩阵分解只需通过查表实现。

Concerning value distribution theory, Q.C.Zhang got the following result:Let f be a non-constant meromorphic function in C, b is a finite non-zero complex number, if f and f" CM share 0 and IM share b, then: f ≡ f", or f =(2b)/(1-ce-2z) here c is any non-zero constant.

在值分布理论中,张庆彩得到了这样的结果:设f是复平面上的非常数亚纯函数,b是非零的有限复数,若f和f′CM分担o且IM分担b,则: f≡f′,或者 f=2b/1-ce-2z ,其中c是任意非零常数。

This structure decreases the amount of non-zero quantified coefficients by iteration,and improves their approximation ability.

该结构通过迭代的方式减少了量化后的非零系数数量,并且提高了非零系数的逼近能力。

Based on the traits of dyadic wavelet decomposition of signal and that of the distribution of wavelet image coefficients, PLVQ and ZR are conjoined by making use of D\-4 lattice. Firstly, Pyramidal lattice vector quantization is adopted to quantize wavelet image coefficients. Nonzero lattice vectors and zero lattice vectors are formed. Secondly, nonzero lattice vectors are dealt with by adopting complex entropy coding. Finally, in order to fix on the position of nonzero lattice vector effectively, that is, to deal with zero lattice vectors effectively, the concept of significant map is introduced into. The significant map is scanned two times from down to up and from up to down.

根据信号的二进小波分解特点和小波图象系数的分布特点,利用D\-4格将PLVQ和零树结合起来,提出了一种基于零树和金字塔格型矢量量化的小波图象编码方法,该方法首先采用金字塔格型矢量方法来量化小波图象系数,以得到非零格点和零格点;然后采用复合熵编码来处理非零格点;最后为了有效确定非零格点的位置,也就是为了有效地处理零格点,又引进了重要图的概念。

Zero residual and non-zero residual problems are discussed in different parts in this paper and the algorithm is proven quadratic convergence for zero residual problems and superlinear convergence for non-zero residual problems.

新方法将问题划分为零残量和非零残量来讨论,并证明了算法对零残量问题具有二次收敛性,对非零残量问题具有超线性收敛性。

An ring R is said to be the middle superprime ring, if every non - zero ideal of R contains an non - zero element c, which is not middle divisor of zero.

一个环R称为中间超素环,如果它的每个非零理想都包含一个非零元素,它不是中间零因子。

In this paper,we discuss the Walsh spectral characteristics of partially-bent functions over ring Znq(q=p1*p2,p1、p2 are primes),propose two new concepts―nonzero factor variant-permanently linear structure and zero divisor variant―permanently linear structure,classify the variant-permanently linear structure of partially-bent functions and show their correlation,obtain several new equivalent conditions of partially-bent functions on ring Znq,finally,point out the correlations among balance, linear structure and points taking nonzero spectrum.

本文在环Znq上讨论了部分bent函数的谱特征(q=p1*p2,p1,p2是素数),得到了Znq上部分bent函数的几个新的刻划,揭示了部分bent函数的平衡性、线性结构点及非零谱值点之间的相互关系,并对部分bent函数的恒变线性结构点进行了分类,指出了它们之间的相互关系,提出了零因子恒变线性结构点和非零因子恒变线性结构两个新概念。

An equivalent time-domain linear network model is obtained for multiconductor transmission lines with nonzero initial voltage and current distributions by combining Fourier and Laplace transforms.

非零初始状态传输线瞬态分析毛军发,李征帆(上海交通大学,上海200052)本文结合付里叶变换和拉氏变换技术,得出了具有任意非零初始电压、电流分布的多导体传输线的等效时域线性网络模型。

The Nash equilibrium problem with l2-nor m bound disturbance was studied. The problem was considered as a compound dynam ic game described by N-person non-cooperative dynamic game and two-person zer o-sum dynamic game. By applying H∞ control theory method, the existence conditions of linear quadratic Nash equilibrium H∞ disturbance attenuati on strategies were presented and proved, and its state feedback Nash equilibrium solutions were given.

研究具有l2范数有界不确定性扰动的纳什均衡问题以具有不确定性扰动的线性二次纳什均衡对策问题为例,将其归结为由二人非合作非零和对策和各对策方与外部扰动的二人零和对策构成的复合对策问题,应用H∞控制理论方法,给出并证明了扰动衰减H∞状态反馈策略存在的条件和求解方法,并通过简例说明了算法的有效性

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Lugalbanda 是神和被崇拜了一千年多 Uruk古埃及喜克索王朝国王。

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