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Brain is a very complex non-linear system, and electroencephalograph and electrocorticogram are also non-stationary and nonlinear in nature, signal processing methods based on linear and stationary assumptions, although has obtained important result, can not grasp the entire picture of neuroscience.

人脑是一个高度复杂的非线性非平稳系统，所以脑电图和皮层脑电图也是非线性非平稳信号，基于线性和平稳假设的分析方法尽管取得了一些重要的研究成果，但是无法对神经系统进行更加深入的解释。

While we are having the electrotechnics classes, we usually take it as a linear circuit, and analyse it with the theory of linear circuit.

日光灯电路是一个非线性电路，而我们上电工课做这个实验时，常把它当成线性电路并采用线性理论来分析它。

This paper is devoted to solving linear saddle point problems, Specifically, We consider nonsymmetric systems, written as usual in block form, where the upper left block is an invertible linear operator with positive definite symmetric part. Such saddle point problems arise, for example, in certain finite element and finite difference discretizations of NavierStokes equations, Oseen equations, and mixed finite element discretization of second order convection-diffusion problems.

中文题名求解鞍点问题的迭代方法副题名外文题名论文作者冯丽红导师曹志浩教授学科专业计算数学研究领域\研究方向学位级别博士学位授予单位复旦大学学位授予日期2002 论文页码总数87页关键词鞍点问题迭代方法网格离散线性方程组馆藏号BSLW /2003 /O241 /15 论文针对鞍点问题的求解分析了一些典型的快速算法。

In some sense, the conceptions of "Non-prime time" and "Prime time" only describe the relation of linear transmission of TV and TV embracer s non- linear acceptation state.

从一定意义上说，"黄金时段"与"非黄金时段"表述的仅仅是一种关系，即电视的线性延伸与电视受众的非线性接受状态之间的契合程度。

Keywords: Linear time-delay systems; Uncertainty; Decoupling control; Energetic decoupling; Linear matrix inequality

中文关键词：线性时滞系统；不确定性；解耦控制；能量解耦；线性矩阵不等式

In chapter 2 we propose a linear equality constraint optimization question , the new algorithm is combined with the new conjugate gradient method(HS-DY conjugate gradient method)and Rosen"s gradient projection method , and has proven it"s convergence under the Wolfe line search.In chapter 3 we have combined a descent algorithm of constraint question with Rosen"s gradient projection, and proposed a linear equality constraint optimization question"s new algorithm, and proposed a combining algorithm about this algorithm, then we have proven their convergence under the Wolfe line search, and has performed the numerical experimentation.

在第三章中我们将无约束问题的一类下降算法与Rosen投影梯度法相结合，将其推广到线性等式约束最优化问题，提出了线性等式约束最优化问题的一类投影下降算法，并提出了基于这类算法的混合算法，在Wolfe线搜索下证明了这两类算法的收敛性，并通过数值试验验证了算法的有效性。

Then we derive first-order necessary optimality conditions for optimization problems with affine variational inequality, which joint upper-level feasible region Z includes a linear inequality constraint and a linear equality constraint.

其次，我们研究Luo的带仿射变分不等式约束优化问题，其中上水平约束Z不仅含有线性不等式约束，而且含有等式约束情形时的一阶最优性条件，同时还给出了Z的切线锥的表达式。

In this paper we study the translation equivalence class es of linear recurring m -arrys, and give respectively the enumeration of m -arrays with fixed period vectors and with a fixed linear complexity.

本文研究线性递归m—阵列的平移等价类，分别出了具有相同周期和相同线性复杂度的m—阵列的平移等价类的计

Based on the characteristics of wireless sensor networks, a routing problem is converted firstly into linear programming problem, and the equivalence between the routing problem and linear programming problem is proved.

基于无线传感器网络特性，首先将路由问题转化为线性规划问题，并证明了路由问题与线性规划问题的等价性。

Secondly,the deterministic equivalence problem of theprobabilistic inequality is discussed,and the expression formula of thedeterministic equivalences for several commonly used probabilitydistributions,such as normal,exponent,uniform,β and Γ distributions etc.,are given for the linear function with respect to random variables,which solvesthe problem of the deterministic equivalence for the linear-function-class.

其次，本章讨论了概率不等式的确定性等价问题，就随机变量的线性函数类，给出了与几种常用的概率分布，如正态分布、指数分布、均匀分布、β分布、Γ分布等等，相关的确定性等价问题。

Through comparing with the results by simulation to study the effects of theprojectile"s final velocity, the angle of rotation and the ballistic trajectory"s migration withdifferent projectile"s rotating speeds, different target"s moving speeds and differentpenetration angles.

通过比较数值模拟的结果来研究不同弹头转速、目标速度、侵彻角对侵彻过程中弹头最终速度、翻转角度和弹道偏移的影响。

I love stationery and all the accoutrement of writing.

我爱文具以及所有的书写的工具装备。