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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。

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:。

It includes the definition of two basic operations, logical functions expansion and matrix formulation in OR-Coincidence algebra system, and the introduction of map expression--dj map, the complete research of the relations among CRM expansion^ maxteim expansion and RM expansion, iiamely tie relations among dj map, K-map and bj map, also includes the minimization of CRM expansion in fixed and mixed polarities-Meanwhile this dissertation points out the form and properties of basic symmetric function, simple symmetric function and basic CRM symmetric function in OR-Coincidence algebra system, discusses the relations and transform methods among the coefficients of the three kinds of symmetric functions.

包括连和与加合两种基本运算的定义,逻辑函数在或、符合代数系统里的展开式及矩阵表示式,展开式图形表示--d_i图的引入,对CRM展开式和最大项展开式、RM展开式,d_i图和K图、b_i图之间的关系及转换方法进行了较为全面的研究,以及CRM展开式在固定极性和混合极性下的最小化问题。

Furthermore, the functional matrix Pn,λ with polynomial of binomial type related to and its properties are studied.

同时,考察了与二项式型多项式相伴的函数矩阵Pn,λ及其性质。

We point that the process of function-tree solving is the process of Function-Sets solving, and a function solving method based on extend functional matrix is proposed. Furthermore, aiming at the characters of innovational design, the lossless optimization method is given.

在功能树的求解方法方面,指出功能树的求解过程就是对功能函数的功能集族进行求解的过程,并提出了基于功能矩阵的求解方法,更进一步地针对创新性设计的特点,提出了无损优化的方法。

Based on Lyapunov functional theory and linear matrix inequality, the suffcient condition of delay-dependent guaranteed cost control law with time-varing is derived and the minimal cost supper is given.

基于Lyapunov函数的理论,并运用线性矩阵不等式导出了该系统时滞依赖的保性能控制律存在的充分条件以及最小性能上界。

Thesolutions compose self-contained inner product space (weight function is constant 1),i.e., they are basic series of Hilbert space; hence any internal waves could beexpanded into generalized Fourier series. With difference method, Sturm-Liouvilleequation is transformed to matrix eigenvalue problem. Each eigenvalue is related to ahorizontal wave number, and relevant solution is a certain mode of internal wave.

其解系构成完备的加权(权函数为1)内积空间,即Hilbert空间,从而内波现象可以展成该解系的广义Fourier级数;采用差分方法,将 Sturm-Liouville 方程转化为矩阵特征值问题,每一个特征值对应一个内波波数,该特征值对应的解则是内波的某一模态。

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