线性代数

Chapter 1 gives a brief introduction to basic contents and methods of system identification and solutions of certain prob— lems met during the process of identificationIn chapter 2, the identification is accomplished by transforming the linear differential equation of a dynamic system into an algebraic form via block pulse functions .

第二章介绍采用正交函数BPF将含有未知参数的系统线性微分方程转化为代数向量方程求解，获取表征系统特性的传递函数或微分方程参数而达到辨识目的。

Consider the identification of a continuous linear system The identification of its algebraic equivalent system or transfer function can be obtained.

在一般情况下，对于连续线性系统可以获得其代数等价系统或传递函数的辨识。

Each weight function is a composite function of a generalized Chebyshev polynomial and a linear function, only algebraic calculation is needed, and no requirement is involved for the calculation such as the steepest descent-like algorithms or matrix calculation.

权函数是广义Chebyshev多项式和线性函数的复合函数，只需要通过代数计算就可以求得，不需要梯度下降计算或者矩阵计算。

Each weight function is a composite function of a generalized Chebyshev polynomial and a linear function, only algebraic calculation is needed, and no requirement is involved for the calculation such as the steepest descentlike algorithms or matrix calculation.

权函数是广义Chebyshev多项式和线性函数的复合函数，只需要通过代数计算就可以求得，不需要梯度下降计算或者矩阵计算。

In the light of the complex, high-level and non-linear feature of the mathematical model which describe the transport of the coalbed methane, this paper study the fully-implicit solving method of the mathematical model in detail. Based on the complexity of the algebraic equations which are formed eventually, according to the alternating direction implicit difference pattern, this paper use the iterative method and the fully main element Gauss-Jordan eliminating method to solve equations, which is to use the iterative method to determine coefficient matrix and use the fully main element Gauss-Jordan method to solve th linear algebraic equation group, at the same time of studying the solving method of the mathematical model, according to the devising requirement of FORTRAN77 program structure, this paper draw up computer program and form the corresponding computer model, and verify the validity and reliability of the model in theory by operating the model.

重点研究了模型内、外边界及有关参数的处理，针对描述煤层甲烷运移的数学模型是一个复杂、高阶非线性数学模型的特点，详细研究了模型的全隐式求解方法，根据最后形成的代数方程组的复杂性，按交替方向隐式差分格式，采用迭代与全选主元高斯约当消去法相结合的方法求解方程：即确定系数矩阵采用迭代法，求解线性方程组时采用全选主元高斯约当消去法，在研究模型解法的同时按FORTRAN结构化程序设计的要求，编制计算机程序，形成相应的CBMRS计算机模型，并通过模型的运行从理论上证明了模型的正确性与可靠性。

It is not easy to solve the problem of tensor product multilinear mapping if only matrix algebra knowledge is used. The introduction of structure matrix will make this problem much easier to be solved and more acceptable among people.

在解决张量积多重线性映射问题时，只用矩阵代数知识解决问题有些繁琐，而引入结构矩阵来解决张量积多重线性映射问题，不仅能使问题变得更加简单而且更加容易理解接受。

This paper analysised and researched some existing algebra feature extraction method such as KL transformation, singular value decomposition、 Fisher linear discriminant and optimal discriminant transformation. On the base of this、we expound a method which named uncorrelated optimal discriminant transformation to accomplish the face recognition.Uncorrelated optimal discriminant transformation is a improvement of Fisher linear discriminant and optimal discriminant transformation.

本文对一些现有的代数特征提取方法如KL变换、奇异值分解、Fisher线性鉴别以及最佳鉴别变换做了分析和研究，在此基础上我们提出使用具有统计不相关最佳鉴别变换的投影方法来进行人脸识别，它是由Fisher线性鉴别和最佳鉴别变换改进、完善而来的。

The purpose of studing LPP is to discuss and so as to solve topological algebra's problems by linear methods, and to get information of classifying operator algebras from a new direction.

线性保持问题研究的目的是利用线性手段探讨和解决拓扑代数的问题，从新的角度提供算子代数的整体结构和对算子代数分类的信息。

Based on concepts of relative algebraic interior and relative topological interior of sets,some conditions assuring Ari+Bri in a linear space and conditions assuring riA+Bri in a linear topological space are given respectively,according to Tanaka and Kuroiwa' s conclusions.

根据Tanaka和Kuroiwa的结论，在集合相对代数内部和相对拓扑内部概念的基础上，分别讨论了线性空间中Ari+Bri和线性拓扑空间中riA+Bri成立的条件，从而将Tanaka和Kuroiwa关于内部的结论推广到了相对内部的情形

The critical curves of linear shimmy systems are determined by optimizing the complex eigenvalues. This method can be used to analyse stability of linear shimmy systems with the arbitrary degrees of freedom and to extricate designers from the tedious algebraical derivation in the early shimmy stability analyses.

并使用&复特征值优化分析方法&确定线性摆振系统的各种临界参数曲线，这种方法可以分析任意多自由度的线性摆振系统的稳定性，免去了以往摆振稳定性分析中冗长的代数推导。

On the other hand, the more important thing is because the urban housing is a kind of heterogeneity products.

另一方面，更重要的是由于城市住房是一种异质性产品。

Climate histogram is the fall that collects place measure calm value, cent serves as cross axle for a few equal interval, the area that the frequency that the value appears according to place is accumulated and becomes will be determined inside each interval, discharge the graph that rise with post, also be called histogram.

气候直方图是将所收集的降水量测定值，分为几个相等的区间作为横轴，并将各区间内所测定值依所出现的次数累积而成的面积，用柱子排起来的图形，也叫做柱状图。