线性算子

For the original infinite dimensional problem, if the inexact quasi-newton method with Broyden updating can not converge quickly , for example, it can not attain super linear convergence rate , then when the discretization is becoming finer and finer , we can not get fast convergence rate for the corresponding finite dimensional problem.

对于原来的无限维问题，如果使用不精确Broyden方法不能得到较快的收敛速度，比如超线性收敛性，那么当离散化逐渐加细的时候，对于所得的有限维问题使用不精确Broyden方法也不可能得到较快的收敛速度，所以有必要在无穷维空间上对收敛性问题加以分析，从而为不精确拟牛顿法结合投影法求解算子方程做好准备。

After a short-term load forecasting method based analogous and linear extrapolation is proposed, the load forecast and the priority of equipment action are led into static reactive power optimization. The aim function is constructed for the practical situation of power system. On the basis of traditional genetic algorithm the fitness function and the holding of population diversity are improved. The adjacent search operator is applied to improve ability of local search.

在提出基于相似日和线性外推的短期负荷预测新方法的基础上，将负荷预测和设备动作优先级引入静态无功优化中，并结合电网实际情况，构造了实用的目标函数，对遗传算法的适应度函数和群体多样性的保持进行了改进，采用邻域搜索算子增加遗传算法的局部寻优能力。

This course covers linear functional analysis, which include basic operator theoty, Riesz representative theorem and basic spectrum theory.

该课程涉及线性泛函分析的基本知识，基本算子理论，Riesz表示和基本的谱分解理论。

The problem of D-stable robust covariance control for the delta operator formulated linear uncertain systems based on dynamic output feedback is studied.

研究Delta算子描述的线性不确定系统基于动态输出反馈的D-稳定鲁棒协方差控制问题。

This paper introduced the differentiator series method to solve the group of linear ordinary differential equation with free term fi∈ eλ t pmλ∈ z,pm(t is polynomial of degree m first,the theories of solution were introduced,next,examples.

用微分算子级数法求解自由项为fi∈eλtpm的线性微分方程组（λ∈Z，pm是t的m次多顶式）。

In this paper is presented an easy operator method for the special solution of the system of non-homogeneous linear differential equations with constant coefficient.

提出求非齐次常系数线性微分方程特解的一种简捷方法──算子解法，并且总结出运用此解法常用的7个计算公式

With the matrix direct product and straightening operator, the necessary and sufficient conditions of the linear matrix equations have solutions and have unique one solution are given.

本文介绍了矩阵直积的有关概念和性质，利用矩阵直积和拉直算子给出了线性矩阵方程有解的充分必要条件以及有惟1解的充分必要条件。

The theory of maximal monotone operator is one of the most importance successes in the area of nonlinear analysis.

极大单调算子理论是非线性分析领域的有效工具之一，已被广泛应用于非线性偏微分方程、非线性积分方程、控制论、最优化理论等学科，在物理学、经济。。。

The theory of maximal monotone operator is one of the most importance successes in the area of nonlinear analysis. It provides a powerful general framework for the study of nonlinear partial differential equations, nonlinear integral equations, control theory, optimization. Practically, it has be applied abroad in physics, economics and engineering.

极大单调算子理论是非线性分析领域的有效工具之一，已被广泛应用于非线性偏微分方程、非线性积分方程、控制论、最优化理论等学科，在物理学、经济学、工程学等应用学科也有着广泛的应用。

Membership degree, weight vector and nonlinear operator of evaluation indices were determined in this model. Evaluation model was applied to quality evaluation of strip steel. In comparison with the linear single stage evaluation, this method is more reasonable, flexible and suitable to actual situation.

文中给出了评价指标的隶属度、权重向量和非线性算子的确定方法，并将该评价模型应用于带钢质量评价，实例证明与线性单层次方法相比，该方法与实际更相符、更具柔性。

But we don't care about Battlegrounds.

但我们并不在乎沙场中的显露。

Ah! don't mention it, the butcher's shop is a horror.

啊！不用提了。提到肉，真是糟透了。