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For the condensed dynamic stiffness matrix in finite models which have finite number of freedom and any dynamic stifmess matrix of infinite system, the element of them is a transcendental function of eigenfrequency. And therefore transcendental eigenvalue problem is needed to be solved in order to get the natural frequency and modes of vibration.

对于有限自由度系统的缩聚动刚度矩阵和无限自由度系统的任何动刚度矩阵,其元素是频率的超越函数,因此求解结构固有频率及其振型归结为求解超越特征值问题。

The analytic expressions for the displacement components and stresses at any point of an infinite micropolar orthotropic elastic medium with an overlying elastic half space as a result of moving inclined load of arbitrary orientation were obtained.

在无限大微极正交各向异性弹性介质上覆盖弹性介质的弹性半空间的任意点上,作用着任意方向倾斜的移动荷载,给出了位移分量和应力的解析表达式·假设倾斜荷载是法向荷载和切向荷载的线性组合·利用Fourier变换采用特征值方法,并利用数值技术反演了Fourier变换·给出了铝环氧树脂复合材料的数值结果图形

Content of the course consists of:(1)Basic Theories of Polynomials ;(2)Linear Algebra: topics on basic matrix theory, determinant, system of linear equations, vector space, linear transformation, eigenvalue problems, inner product and Euclidean space , and quadratic form etc.;(3) Analytic Geometry: topics on algebraic operations of vectors, coordinates, lines and planes, curves and curved surfaces, etc.

学习本课程后,学生应学会用线性空间与线性变换的观点处理包括线性代数方程组在内的有关理论与实际问题;学会熟练地运用矩阵工具;本课程还学习基本的多项式知识和空间解析几何的基本知识。课程内容包括几个主要部分:(1)多项式代数;(2)线性代数:矩阵,行列式,线性代数方程组,向量空间与线性变换理论,特征值问题,欧氏空间理论,二次型等;(3)解析几何:几何空间向量代数,通过建立坐标系以及借助向量方法研究空间平面与直线及点﹑线﹑面的相互关系,借助曲面方程研究空间曲面,尤其是柱面,锥面,旋转面和二次曲面以及曲面的交线等。

Both methods for the construction of 2-i-i-dimensional integrable models together with techniques for the calculation of exact solutions are discussed.

通过连续的和离散的特征值问题的非线性化得到某些新的有限维可积系统和一个新的可积辛映射。

After obtaining an image, the process of filtering, image segmentation, edge searching, interior filling etc., are done, and the target statistic features are extracted.

该方法通过对图片、视频或实时采集的图像进行预处理、目标分割、边界搜索、内部填充等处理后,提取目标的统计学特征,根据目标的特征值和数据库中的已有样本对未知目标进行识别。

By studying and analyzing the various Neural Network and intelligent fault diagnosis, associating the difficulty which is to measure the interior signal of cycloconverter, the thesis puts forward the cycloconverter fault diagnosis which bases on Neural Network and takes cycloconverter input voltage and output current as the input of NN. According to the self-learning and non-linearity of NN, it can confirm the position of SCR fault.

通过对国内外多种神经网络和智能故障诊断技术的分析比较,并考虑到直接检测变频器内部有关信息的难度,本文提出并研究了基于神经网络的变频器故障诊断技术,以变频器输入/输出有关电量特征值作为神经网络的输入,通过神经网络的自学习方式,对变频器内部晶闸管故障进行定位。

Recently, the interval analysis method has been used to deal with the static displacement and eigenvalue analysis of the uncertain structures with interval parameters.

最近,区间分析方法被用于具有区间参数的不确定性结构的静态位移和特征值的分析。

The objective of this paper is to evaluate various spatial interpolation methods, including ordinary Kriging, simple Kriging, lognormal Kriging, universal Kriging, disjunctive Kriging and inverse distance weighting interpolation for estimating soil surface Hg content with lognormal distribution, the linear and second-order polynomial trend, and t...

以分布类型为对数正态分布,同时具有一阶和二阶趋势效应的土壤重金属Hg为例,分别应用普通克立格法,简单克立格法,对数正态克立格法,泛克立格法,析取克立格法和距离反比权重法等 6种内插方法对其进行了估值,综合比较了各种内插方法的预测误差、统计特征值及插值结果分布图。

In the present work,the existence and uniqueness results aboutperiodic boundary value problems for different kinds of the nonlin-ear periodically perturbed nonconservative systems are establishedthrough the discretization technique,under suitable assumptions,by using global inverse function theorem and result about the ex-istence and uniqueness of periodic solution for nonhomogeneouslyfirst order linear periodic boundary value problem.

本文的第一章概述了在讨论原问题解的存在唯一性过程中以及构造和分析相关的数值求解方法时将要用到的全局反函数定理、有关矩阵特征值的若干重要引理、线性常微分方程非齐次周期问题解的存在唯一性定理和单参数影射方法及有关结论,并简单回顾了已有的证明非线性微分方程周期边值问题解的存在唯一性的方法,其中包括谱理论、最大最小化形式方法、摄动技术和全局反函数理论方法,最后,介绍了两类数值求解非线性微分方程问题的方法。

In chapter 4, the prime reasons for the ill-posed inversion are analyzed at first and then the remedy method is described. The basic formula of stochastic inversion method tor impedance with broarband constraint of well log is deduced from basic level.

第二章首先将信号分析中的MA过程的定阶问题引入到地震子波的提取中,发展了利用地震记录的高阶累积量矩阵的特征值的变化估计地震子波的有效长度的方法。

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