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This course offers advanced topics for students who have learned ordinary differential equations. The course includes linear algebra which has topics as matrices, linear systems of equations, eigenvalue problems, vector differential and integral calculus. Fourier series, orthogonal functions, Fourier

本课程为提供已有常微分方程式基础的同学修习、内容包括线性代数、矩阵运算、特徵值问题、向量的微分与积分、一阶线性微分方程组、傅力叶级数和正交函数、傅力叶转换、并将对椭圆、抛物线、双曲线型式的偏微分方程式作概略介绍。

After that, According to the induced-matter idea, we study the generalizational method of 5D Dirac equation, and point out that Dirac equation isn't formally generalized in principle because the wave function of Dirac field is multiple component matrix form.

随后,我们从诱生物质思想出发,研究Dirac方程的五维推广方案,指出由于描述Dirac粒子的波函数是多分量的矩阵形式,原则上不能只依靠单纯的形式推广。

For a class of networked control systems with equality constraint ,this paper addresses the problem of designing controller,sampling period and the maximum allowable delay bound.

针对一类具有等式约束的网络控制系统控制器、采样周期以及最大允许延迟时间的设计问题,采用李亚普诺夫函数、线性矩阵不等式的方法,推导出了该网络控制系统渐近稳定的充分条件。

Solving algorithm of minimum schema matrix relatived to equivalent representation of functional dependency based on schema matrix is discussed.

进而讨论了与函数依赖集等价表示相关的最小模式矩阵求解算法。

We get the necessary and sufficient conditions about admissibility for linear estimators of estimable function among the inhomogeneous linear class.

利用矩阵的向量化方法,研究了带线性约束的增长曲线模型中可估函数的线性估计在非齐次线性估计类中可容许的充要条件。

I Under the general linear model with normal error vector and under convex or matrix losses, the necessary and sufficient condition for there to be UMRU estimators of any linear estimable function SXβ of regression coefficients are obtained.

i在误差向量遵从正态分布,在凸损失或矩阵损失下,得到了回归系数的可估线性函数SXβ的UMRU估计存在的充分必要条件。

For a general system, our Lyapunov function-based method can give a low conservative estimation for the region of attraction, moreover, a much more large region of attraction by using Matlab/LMI optimization.

对一般系统,我们用基于Lyapunov函数的方法给出保守性尽量低的吸引域的估计算法,再配合基于Matlab线性矩阵不等式优化方法去综合控制器,以便得到尽量大的吸引域。

This paper is about how to establish the parallel frame of curves in R~n by using the method of exponential matrix function.

本文介绍了如何用指数矩阵函数的方法建立R~n中曲线的平行标架,用此种方法可以很容易建立任意维数空间中曲线的平行标架。

To this end, we systematically investigate the some properties of m-band compactly supported orthogonal multiwavelets system related to each type symmetric center filter.

从一个给定的具有对称性质的m带紧支撑正交多尺度函数出发,欲构造也具有对称性质的m带紧支撑正交多小波,可转化为对给定矩阵的对称仿酉扩充问题。

Definitions for Matrices and Linear Algebra. Function: ADDCOL M, list 1, list 2,...

下列出Maxima 有关矩阵和线性代数的定义或函数,可自行参考:。

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This one mode pays close attention to network credence foundation of the businessman very much.

这一模式非常关注商人的网络信用基础。

Cell morphology of bacterial ghost of Pasteurella multocida was observed by scanning electron microscopy and inactivation ratio was estimated by CFU analysi.

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