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To take full advantage of the anisotropic texture information and multidimensional singular information in an image, a novel method for image fusion based on anisotropic texture information is presented in this paper. And the local energy operator is provided as the fusion strategies.

摘要鉴于Brushlet分解方向纹理信息的特性，提出一种基于方向纹理信息的图像融合新方法，给出一种基于加权局域能量的融合算子。

According to singular entropy and Percent of contribution to total energy, the de-noising rank is obtained and the signal is reconstructed. The thesis compares reconstruct wave form of different reconstruct rank and the error of original signal and reconstruct signal is contrasted.According to voltage flicker measurement, voltage flicker detection method based on Mathe Matical filtering and Teager Energy Operator is proposed. The multiple MM filter filters out pulse noise and white noise contained in fliker signal, then the filtered signal is tracked accurately and quikly via TEO.

提出了基于数学形态滤波和TEO能量算子的电压闪变快速测量方法，含噪电压闪变信号经过多结构元素复合数学形态滤波后，采用TEO能量算子计算跟踪电压闪变信号的包络，得到的包络信号用Pisarenco谱分析方法获得闪变调制信号的幅值频率等参数，对不同情况下的电压闪变信号进行了仿真验证。

The results of computer experiment show that the singular spectra of normal subjects are significantly different from epileptic subjects.

大量的实测信号样本仿真实验结果表明，正常脑电和癫痫脑电的奇异谱有明显的不同。

Firstly, based on the stability criterion for the nominal discrete singular time-delay system, a sufficient condition for the existence of the static output feedback controller in terms of linear matrix inequality with linear matrix equality constraint is established, which ensures that the resulting closed-loop system is regular, causal and robustly asymptotically stable, and the static output feedback controller is designed by the feasible solution of the linear matrix inequality with linear matrix equality constraint.

首先基于标称离散广义时滞系统的稳定条件，以受限线性矩阵不等式形式，得到闭环离散广义时滞系统正则、因果且渐近稳定的充分条件，同时利用受限矩阵不等式的可行解给出静态输出反馈控制器的设计方法；然后采用矩阵的正交补，把求受限线性矩阵不等式的可行解问题转化为求严格线性矩阵不等式的可行解；最后的数值实例说明了所给方法的有效性和正确性。

An explicit form of the generalized solution is derived and an equivalent singular integral equation established.

文[2]给出了Neumann问题可解的充要条件和广义解的一般表达式，而且把对线性方程组讨论得到的结果，推广到非线性方程组的情形。

According to Oseledec multiplicative ergodic theory and singular boundary theory, the conditions of local and global stability were acquired.

为了研究随机因素对经济系统稳定性的影响，建立了系统可靠性函数和首次穿越时间概率密度函数，并结合初始条件和边界条件得到了数值结果。

According to the Logistic Equation and the impact of stochastic factors, a stochastic nonlinear dynamical model had been presenred. The max Lyapunov exponent was calculated by Oseledec multiplicative ergodic theory, the local stability conditions had been obtained; the global stability conditions had also been obtained by judging the modality of the singular boundary; the stochastic Hopf bifurcation was analyzed using the invariant measure of stable probability density, and the condition of stochastic Hopf bifurcation had been discussed. The key parameter impacting the urban domestic water consumption had been found by numerical emulation.

根据Logistic阻滞增长模型原理，考虑到诸多随机因素的影响，本文建立了一个城市生活用水量的随机非线性模型，运用Oseledec乘性遍历定理计算了模型的最大Lyapunov指数，得到了局部稳定性的条件；通过对扩散边界性态的分析，得到了全局稳定性的条件；通过分析系统平稳状态概率密度的不变测度，得到了模型随机Hopf分岔的条件，结合实际进行了数值仿真，得到了影响用水量的关键参数。

We also discussed the estimation of stability region of discrete singular systems with delay, and presented several region estimaitons for uniform stabiity and asymptotic stability, respectively.

我们还研究了离散滞后广义系统稳定域的定量估计，分别给出了系统一致稳定区域和渐进稳定区域的估计公式。

According to the theorem Euler characteristic is equal to 2 on the sphere, it is show that this maps has at least one fixed point,that is to say the vector field has at least one singular point.

在地壳的每一点，由于受力定义了整个地壳上的向量场，然后利用同胚，将其转化为球面上的自映射，并根据球面的欧拉示性数等于2，说明该自映射至少有一个不动点，即向量场至少有一个奇点。

The common institution of graduate cultivation is composed of the singular mentor of European plan and supervisory committee of North American plan.

研究生培养制度通常有两种模式：欧洲式的单一导师负责制与北美式的导师集体负责制。

It inculcates justification before God on the ground of human merits.

它说明在上帝灌输在地上人类优点。

TH Leaguer has excellent Quality Control and Management System.

本公司具有完善的品管部门。