线性代数

Mastery: The Laplace Transform, The Region of Convergence for Laplace Transforms, The Inverse Laplace Transform, Properties of the Laplace Transform, Some Laplace Transform Pairs; Analysis and Characterization of LTI Systems Using the Laplace Transform, System Function Algebra and Block Diagram Representations;Roth Criterion;Mason Equation of the Signal Flow Graphs.

基本要求：掌握拉普拉斯变换定义，拉普拉斯变换收敛域，拉普拉斯反变换，拉普拉斯变换性质，用拉普拉斯变换分析和表征线性时不变系统，系统函数的代数属性与方框图表示，罗斯判别，信号流图的梅森公式；熟悉常用拉普拉斯变换对，单边拉普拉斯变换；了解由零极点图对傅立叶变换进行几何求值。

The Laplace Transform; The Region of Convergence for Laplace Transforms; The Inverse Laplace Transform; Geometric Evaluation of the Fourier Transform from the Pole-Zero Plot; Properties of the Laplace Transform; Analysis and Characterization of LTI Systems Using the Laplace Transform; System Function Algebra and Block Diagram Representations; The Unilateral Laplace Transform.;Roth rule ;Signal Flow Graphs.

教学内容：拉普拉斯变换；拉普拉斯变换收敛域；拉普拉斯反变换；由零极点图对傅立叶变换进行几何求值；拉普拉斯变换性质；常用拉普拉斯变换对；用拉普拉斯变换分析和表征线性时不变系统；系统函数的代数属性与方框图表示；单边拉普拉斯变换；罗斯准则；信号流图。

In Chapter 4,we study further the exponential stability and its algebraic criterion for a linear neutral degenerate functional differential equation.

第三章考虑了一类线性退化多时滞泛函微分方程，给出了解的指数稳定及其指数稳定的代数判据。

One is the existence problem of real symmetric solutions of the general algebraic Riccati equation , the other is the optimal output feedback problem under the LQ index.

此外，本文还涉及了两个控制理论界多年来受到广泛注意和研究的难题；其一是一般代数Riccati方程的实对称镇定解的存在性问题：其二是线性二次型指标下的直接最优输出反馈问题。

The Laplace Transform; The Region of Convergence for Laplace Transforms; The Inverse Laplace Transform; Geometric Evaluation of the Fourier Transform from the Pole-Zero Plot; Properties of the Laplace Transform; Analysis and Characterization of LTI Systems Using the Laplace Transform; System Function

教学内容：拉普拉斯变换；拉普拉斯变换收敛域；拉普拉斯反变换；由零极点图对傅立叶变换进行几何求值；拉普拉斯变换性质；常用拉普拉斯变换对；用拉普拉斯变换分析和表征线性时不变系统；系统函数的代数属性与方框图表示；单边拉普拉斯变换。

Similar to the second conclution of chapter two, I also study the linear characterization of 2-local isometry on TUHF algebra. The way of proof is same.

第二方面类似于第一章中的第二个结果，讨论了三角UHF代数上的2-局部等距的线性性质，证明方法也是类似的。

In this thesis, we mainly study the theory of vector optimization in three aspects: the spectral scalarization of Euclidean Jordan algebra vector optimization, the robust methods for solving uncertain multiobjective linear optimization problem and the application in game theory.

本文共分四章，主要致力于向量优化三个方面的研究：欧几里德若当代数向量优化的谱标量化、不确定多目标线性优化问题的鲁棒方法和向量优化在对策论中的应用。

Based on the transformation between position space and spinor space in geometric algebra system,the perturbing Kepler equation was transformed to a linear and regular form(also called Kustaanheimo-Stiefel equation or KS equation).

利用几何代数体系中的位置空间与旋量空间之间的转换关系，将摄动Kep ler方程转化为线性、正则的旋量方程，并给出Kep ler旋量方程的解。

By TM images the linear structures, water system, the outer edge of Tianchi Volcano trachite are extracted. By the sensitivity of SAR images to geomorphology, the distribution of parasitical volcano cone and lava fornix around Tianchi volcano are interpreted. With the aerial photos the parasitical lava of Qixiangzhan, Baiyun and Bingchang stage are filtered. At the same time by orthogonal cross-course wavelet transform, texture analysis is carried on to ERS-2 SAR images, and the texture characters are filtered. On the basis of the spectrum character of multi-band of TM images, multi-band algebraic grouping is made, and the factor of texture character factor and band grouping of TM images are input to BP neural network classification model. The good classified results are received.

利用TM图像对线性构造、水系、天池火山粗面岩锥体外边缘的提取；利用SAR图像对地形敏感特性，提取了天池火山周围寄生火山锥体及熔岩穹丘的分布；利用航片对天池火山口周围的气象站期、白云期、冰场期等寄生喷发物进行了提取：同时利用正交小波变换对ERS-2 SAR图像进行了纹理分析，提取了纹理特征：根据TM图像不同波段的光谱特征，进行了波段代数组合，并把纹理特征参数与TM图像的波段组合及DEM一起输入BP神经元网络分类器，取得了较好的分类效果。

This book reviews the many areas of numerical analysis, including the configuration polynomial, finite difference, factorial polynomials, summation, Newton formula, operator and configuration polynomial, Cheung section, close polynomials, TaylM more item type, interpolation, numerical differentiation, numerical integration, and with the series, differential equations, differential equations, least squares polynomial approximation, minimax polynomial approximation, rational function approximation, triangular approximation, non-linear algebra, linear equations, linear programming, boundary value problems, MonteCarIo methods and so on.

本书综述了数值分析领域的诸多内容，包括配置多项式、有限差分、阶乘多项式、求和法、Newton公式、算子与配置多项式、祥条、密切多项式、TaylM多项式、插值、数值微分、数值积分、和与级数、差分方程、微分方程、最小二乘多项式逼近、极小化极大多项式逼近、有理函数逼近、三角逼近、非线性代数、线性方程组、线性规划、边值问题、MonteCarIo方法等内容。本书的特色主要表现在利用例题及大量详细的题解来透彻地阐明所述内容的内涵，同时附有大量的补充题以便读者进一步巩固和深化从书中获得的数值分析知识。

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。