拟线性的

First discarding the thought of fitting by AR model, the ARMA model is fitted by a high order MA model using Gevers-Wouters algorithm on the basis of related functions of ARMA model. Then according to the parameters of the fitted MA model, the ARMA model parameter estimation through solving a system of antipathic linear equations using the least squares method is obtained.

首先摈弃传统的拟合到AR模型的思考方法，而是基于ARMA模型的相关函数用Gevers-Wouters算法对ARMA模型拟合到高阶滑动平均模型；然后在拟合的MA模型参数基础上，用最小二乘算法求解一个不相容的线性方程组，从而估计出ARMA模型参数。

It enlarges the range of quasi-linear Born approximation, and makes the prestack depth migration method based on quasi-linear Born approximation to be able to adapt strong lateral velocity variation.

在散射波场计算中，使用了一个更稳定的散射波场计算公式，扩大了拟线性Born近似的应用范围，使基于拟线性Born近似的叠前深度偏移方法能够适应更强的横向速度变化。

ABSTRACT In this thesis, using the methods of ODE and calculus of variations, we prove the existence of radial and non-radial solutions of some classes of quasilinear elliptic equations.

本文主要是用ODE方法和极小变分方法证明拟线性椭圆型方程径向解和非径向解的存在性，用先验估计方法证明拟线性抛物型方程整体解的不存在性，得到了一些关于拟线性方程的新结果。

The heat generation curves of seven rubber materials used in tires with the changes of temperature have been obtained by using Dynamic Mechanics Analysis technique on NETZSCH DMA242 instrument, knowing that the heat generation of every other rubber materials except inner liner rubber changes lightly alone with the temperature within 10℃～80℃. According to the Fourier law, the heat transfer coefficients of tire rubber are measured by stable method on self-made experiment instrument. The coefficients changes lineally within 20℃～80℃ and the relation formulas λ=λ〓+bt are given out attached with λ〓 and b. The specific heat of tire rubber are measured on Differential Scanning Calorimeter NETZSCH DSC204 and the relations with temperature are linear and the formula is c=c〓+bT, where c〓 and b gained from experiment result data are presented in the paper. The heat convection coefficients on the surface of rolling tire are measured according to the principle of heat-mass transfer analogy principle after simplifying rolling tire into rotating disk with straight movement on wind channel. The relation with rotation speed of disk is linear as h=5. 399+0.0258n and the relation with straight line speed of tire is linear too, h=

论文采用动态力学分析技术，使用NETZSCH DMA 242型实验仪，获得了轮胎用七种胶料的生热率随温度变化曲线，确知除内衬层胶以外，其它各种胶料在一般胎温范围内（10℃～80℃）的生热率随温度变化不大；轮胎胶料的导热系数根据傅立叶定律的基本原理，采用稳态法在自行搭建的实验台上进行测试，结果表明，材料的导热系数在20℃～80℃的温度范围内随温度呈线性变化，论文给出了各种材料导热系数的线性变化的关系式λ=λ〓+bt及其λ〓和b的值；轮胎胶料的比热运用差式扫描量热原理，在NETZSCH DSC204型DSC实验仪上进行测试，结果表明，胶料的比热随温度的变化呈线性变化，其关系可用c=c〓+bT表示，文中给出了根据实验数据拟合的c〓、b的值；对轮胎表面的对流换热系数的测定，本文先将滚动的轮胎简化为有直线运动的旋转圆盘，而后采用萘升华热质比拟技术，在风洞中测量了滚动轮胎表面的对流换热系数，结果表明，圆盘表面对流换热系数与转速呈线性关系，即h=5.399+0.0258n，轮胎表面对流换热系数与其直线运动的速度呈线性关系，即h=

We apply this general result to Vamos matroid and obtain a family of non-representable multipartite matroids.

我们将这一结论应用于Vamos拟阵，于是得到了一族不可表示的多部拟阵，同时我们利用向量的线性相关和线性无关性对Vamos拟阵的不可表示性给出了新的证明。

The experiment data of paramecium from Gause was used to investigate the efficiency of the method. And the twelve nonlinear real examples from "Agricultural Experimental Statistics" written by Mo Huidong were used to compare the difference between results fit by the Excel and the linear transformation method, respectively. The result showed that the Excel fitting method is not only simple and efficient for the parameter estimation but can fit various complex nonlinear equations also.

采用Gause的4组草履虫数据，研究了用Excel的"规划求解"工具进行非线性方程拟合的有效性，并以莫惠栋的《农业试验统计》一书中的12个非线性方程实例，比较了用Excel拟合与用常规线性转换方法拟合的差异，结果表明：用Excel进行非线性方程的拟合不仅简单易行、获得更优的参数估计，而且可以拟合各种复杂的非线性方程。

This thesis introduces the basic principle of the least square data fitting.. According to the least square data fitting ,the paper studies and analyzes the linear least square fitting ,the quantic least square fitting and nonlinear least square fitting respectively . By using the mathimatic instrument Matlab , this paper shows a lot of examples of interrelated questions. Using Matlab makes the theory of data fitting easier to be understood.

本文介绍了最小二乘数据拟合法的基本原理，并根据最小二乘数据拟合方法，分别针对线性最小二乘拟合、多项式最小二乘拟合，非线性最小二乘拟合（lsqcurvefit、nlinfit、lsqnonlin、以及非线性的线性化）、多元最小二乘拟合进行了分析和研究，并通过数学工具Matlab实现了对相关问题的举例应用，使相关数据拟合理论更加生动易懂。

Firstly, we give out a reduction way for quasilinear generalized system A〓=G , and the concept of the index κ geometrically nonsingularity, where A is singular and of smooth kernal space. By using the canonical projection mappings onto the space of ker A , a class singular pointimpasse point only owned by nonlinear generalized system is also studied and we also prove that the regular index κ quasilinear generaized system A〓=G defined on the region W is equivalent with an ODEs 〓 defined on a submanifold W〓 of the W, so we reduce the problem of quasilinear generalized system to the problem of an ODEs.

首先利用投影函数，给出了拟线性广义系统A〓=G的一种归约方法，提出了指数κ几何非奇异的概念，同时对广义系统特有的一类奇点-寂点进行了研究，证明了正则指数κ的拟线性问题A〓=G等价于在其定义域W中某一个子流形W〓上的正常微分方程〓，从而将拟线性广义系统的问题归结为常微分方程问题。

Neural networks based on local sequence and amino acid component with the best structures and linear equation are constructed. The results of testing to the networks indicate that the forming of cis-proline has distinct relationships with local sequence and amino acid component. A new method for peptidyl prolyl cis/trans conformation prediction based on the theory of support vector machines was introduced. The SVM represents a new approach to supervised pattern classification and has been successfully applied to a wide range of pattern recognition problems.

通过运用神经网络与线性拟合的方法，揭示了脯氨酸局部序列、肽链氨基酸组分对于顺式脯氨酸形成与否的影响，构造了基于局部序列和基于氨基酸组分的最优结构的神经网络，以及线性拟合方程，同时对顺式脯氨酸进行了筛选，结果表明，利用神经网络的方法可以提高顺式脯氨酸筛选时的信噪比，脯氨酸采取顺式还是反式构象与其局部的序列以及整条肽链的氨基酸组分均有较强的关联。

The experiment data of paramecium from Gause was used to investigate the efficiency of the method. And the twelve nonlinear real examples from "Agricultural Experimental Statistics" written by Mo Huidong were used to compare the difference between results fit by the Excel and the linear transformation method, respectively. The result showed that the Excel fitting method is not only simple and efficient for the parameter estimation but can fit various complex nonlinear equations also.

采用Gause的4组草履虫数据，研究了用Excel的&规划求解&工具进行非线性方程拟合的有效性，并以莫惠栋的《农业试验统计》一书中的12个非线性方程实例，比较了用Excel拟合与用常规线性转换方法拟合的差异，结果表明：用Excel进行非线性方程的拟合不仅简单易行、获得更优的参数估计，而且可以拟合各种复杂的非线性方程。

For a big chunk of credit-card losses; the number of filings (and thus charge-off rates) would be rising again, whether

年美国个人破产法的一个改动使得破产登记急速下降，而后引起了信用卡大规模的亏损。

Eph. 4:23 And that you be renewed in the spirit of your mind

弗四23 而在你们心思的灵里得以更新