范数

A integral equation formulation is derived based on modified Green's operator with norm less or equal to one. The integral equation is convergent for any conductivity distribution and frequency if iterative solvers are used.

利用范数小于或等于1的修正Green算子得到各向异性地层中的新积分方程，由于满足压缩映射条件，该积分方程在任意参数条件下总是迭代收敛的。

For linear time-delay systems with norm-bounded uncertainties or convex polyhedron uncertainties, a sufficient and necessary delay independent condition of quadratic stabilizability under certain robust H~?

讨论了具有范数有界不确定参数线性不确定时滞系统的指定衰减度鲁棒稳定的一个充分性判据以及设计状态反馈控制器使得闭环系统具有指定鲁棒衰减度的方法。

Robust stability criteria, the design methods of robust stabilizing controller and guaranteeing certain robust performance controller for linear time-delay system with norm-bounded uncertainties or convex polyhedron uncertainties are studied in this paper by delay independent method and delay dependent method.

针对具有范数有界不确定参数和凸多面体不确定参数的线性不确定时滞系统，分别给出了它们时滞无关指定鲁棒H~∞性能约束可镇定的充分必要条件以及相应的控制器设计方法，结果以线性矩阵不等式的n浙江大学博士学位论文形式给出。

School of Electronic and Information Engineering,Dalian University of Technology,Dalian,Liaoning 116024,ChinaStable processes can better model the impulsive random signals and noises in physical observation.This paper briefly describes its spectral representation,proposes a new different spectral density from power spectrum density of second order processes,thus can get a new concept of stable white noise based on covariation spectrum,and a method of identification of nonlinear PAR system based on least p-norm.

描述了稳定分布的谱表示，提出了共变谱密度的概念，得到一种基于自共变序列与共变谱的稳定分布白噪声与有色噪声的概念及其判断标准，对传统意义上的白噪声进行了广义化，依据多项式自回归系统模型，对基于稳定白噪声输入的系统输出非线性稳定有色噪声建立其非线性PAR模型，提出基于最小P范数的EIRLP算法对非线性PAR系统进行辨识。

In the presence of impulsive noise,the two received signals are combinated,so the estimated impulse response of the channel is the eigenvector of its covariation matrix corresponding to the smallest eigenvalue,which can be realized adaptively using generalization o.

该算法在脉冲噪声环境下，组合两个接收信号，使其共变矩阵最小特征值对应的特征向量为信道的估计，并基于广义归一化最小平均p范数方法自适应得到该特征向量，从而获得时延估计。

According to the characteristic of the inverse problems of ECT, the minimum norm solution was improved using regularization technique , and the stability of the numerical solution was analyzed via singular value decomposition principle.

在分析极小范数解的基础上，针对电容层析成像逆问题的特点，利用正则技巧对其进行改进，并利用奇异值分解定理分析了这种改进的数值稳定作用。

The property of the algorithms on linear problems is studied and the Broyden's methods have been proved that they are not descant. More precisely, the distances between the sequences obtained by solving the linear problems and the solutions of the linear problems do not decrease under any vector norm.

笔者研究了将该方法用于求解线性方程组时的内在性质，否定了一个自然的推测，指出它在解线性方程组时不是一个下降的算法，即所得到的点列与方程组的解之间的距离在任何向量范数意义下都不具有单调下降性。

GPS (Geometrical product specification and verification); database; general ; GPS matrix model; duality principle; LSC; norm theory

工程科技II，工业通用技术及设备，工业通用技术与设备GPS；数据库；通用； GPS；矩阵模型；对偶性原理；最小二乘法；范数

Chapter 1 mainly introduce some elementary concepts about matrix: consistently ordered matrix, matrix norm, nonnegative matrix and famous Perron-Frobenius theorem.

介绍了矩阵的一些基本概念：相容次序矩阵、矩阵范数、非负矩阵及著名的Perron-Frobenius定理等。

The semi-discrete Morley element method for the problem and its error estimates in the energy norm are reviewed first.

首先回顾了基于M0rlev元空间的半离散格式及其能量范数意义下的最优误差估计。

According to the clear water experiment, aeration performance of the new equipment is good with high total oxygen transfer coefficient and oxygen utilization ratio.

曝气设备的动力效率在叶轮转速为120rpm～150rpm时取得最大值，此时氧利用率和充氧能力也具有较高值。

The environmental stability of that world - including its crushing pressures and icy darkness - means that some of its most famous inhabitants have survived for eons as evolutionary throwbacks, their bodies undergoing little change.

稳定的海底环境─包括能把人压扁的压力和冰冷的黑暗─意谓海底某些最知名的栖居生物已以演化返祖的样态活了万世，形体几无变化。