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Fourier analysis is used to cast the considered non-linear wave problem with unilateral Coulomb frictional boundaries to a set of algebraic equations with a simple form.

利用Fourier分析方法将非线性Coulomb摩擦接触边界波动问题化为一组代数方程。

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。

A C++ program is developed for composing the stiffness matrix of the temperature field, saving it in changing bandwidth method and calculating the linear algebraic function group through using the Gauss eliminating method. A module for drawing the color fringe of tire temperature field is created, which makes the result more visual. Taking the 9.00-20 cross-ply tire on CA1092 as an example, the finite element numerical simulation analysis of automobile tire 2-D steady temperature field is completed. Through comparing the result with the analysis data by ANSYS, this software is proved to be capable of the modeling, calculating and post-processing of FEA of automobile tire 2-D steady temperature field.

采用C++语言完成了温度刚度矩阵的总体合成及其一维变带宽存贮，以及线性代数方程组高斯消去法求解等工作，采用C++语言实现了汽车轮胎二维稳态温度场云纹图的绘制，使得计算结果更加直观，也更能形象地显示汽车轮胎二维稳态温度场的分布状况，以CA1092（原CA142）五吨载货汽车用9.00-20尼龙斜交胎为例，进行了汽车轮胎二维稳态温度场有限元数值仿真分析，通过与ANSYS分析结果进行比较，说明所开发的有限元建模、求解以及后处理软件能够用于汽车轮胎二维稳态温度场有限元分析。

Given a planar point set,the moving least squaremethod is adopted to denoise and resample it so that the resulting point set is with low noise and uniform sampling density.Then the reliable signed distance field of the preprocessed point set is constructed by using the Level Set method.Finally,an algebraic B-spline function is adopted to fit the signed distance field by solving a linear equation system.

首先给定一个表示封闭曲线、可能带有噪音且分布不均匀的平面点云，采用移动最小平方(moving least square，简称MLS)方法对点云去噪、重采样，得到一个低噪音、分布均匀的"线状"点云，再通过Level Set方法建立该"线状"点云的离散几何距离场，最后用一个代数B-样条函数光顺拟合该离散距离场，代数函数的零点集即为重建曲线。

In this paper, we use some algebraic geometry methods to study the construction of χ-invariant algebras of some linear corresponding moduli space of these systems. Moreover, we completely determine the stable and semistable locus of these systems.

本文，我们以代数几何中的一些方法来研究某些线性动力系统的χ-不变代数的构造，并给出这类系统的相应的参量空间的刻划，进一步，完全决定了这类系统的稳定点、半稳定点的轨迹。

The hybrid model is a combination of non-linear algebraic equation group and differential or difference equation group, and possesses the ability to integrate equations in inhomogeneous expression form.

本课题抓住这一前沿研究，从经验知识与经验数据的综合利用入手，对软测量模型的结构、模型构建方法以及软测量系统的关键技术进行深入研究。

The order and time delay of the dynamic model are assumed to be unknown a priori. A time-weighted digital filter is employed to group of linear algebraic equations. The moving horizon least-squares algorithm is then developed to estimate the model parameters in a recursive fashion.

该法应用一时间加权离散滤波器将特定时段内取样的输出入讯号转换成一实数，然后利用不同时段的量测讯号以移动区间递回最小平方演算法来估测模型参数。

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.

扫描电镜观察多杀性巴氏杆菌细菌幽灵和菌落形成单位评价遗传灭活率。