非线性问题

In Chapter 5, considering the uncertain returns of securities as fuzzy numbers which follow an exponential possibility distribution function, we give a semi-definite programming method to solve the non-linear problem in estimating the exponential possibility distribution function process. Furthermore, we extend the center spread model proposed by Tanaka and Guo to the case of a frictional financial market.

第五章将证券收益率看作是服从指数可能性分布的模糊数，提出了证券收益指数可能性分布估计过程中求解非线性问题的半正定规划方法，并且将Tanaka和Guo的中心差值可能性投资组合模型扩展到了带摩擦的金融市场的情况。

According to the rules of our formulae and with the help of computer, we can find

最后，对于方程可积性的研究，也推动我们对几何方面非线性问题的解决。

Using the base line forces as fundamental variables, the complementary energy of an element with geometrical nonlinearity is constructed, which contains both deformation part and rotation part.

以基线力为状态变量，构造几何非线性问题单元的余能，该余能包括变形部分和转动部分。

In the dispersion linearity aspect,the grating spectrometer are linear,but the nonlinear problem of shortwave for the prism spectrometer can be solved through a composite-prism.

此外，光栅光谱仪的色散基本为线性，但棱镜光谱仪的短波非线性问题可通过复合棱镜进行补偿，而且，棱镜光谱仪的可靠性好于光栅光谱仪。

In chapter 5, nonlinear material problems of honeycomb sandwich shells are analysed.

在第五章中，分析了蜂窝夹层壳体的材料非线性问题。

The hot film/ wire type of mass air flow sensor has the nonlinear dynamic characteristics.

热膜式空气质量流量传感器存在动态非线性问题。

In order to improve these problems,a simple frequency-independent mathematic modeling method by using polar coordinate is developed in this paper,and then the developed model is compared with widely used PI hysterics model.

针对当期望输出与频率无关时的压电陶瓷的迟滞非线性问题，提出了一种基于极坐标的数学建模方法，同时给出了通用的PI迟滞模型，并对两种模型进行了比较。

Be- cause of noisy data,the linearization of nonlinear problems,and in- adequate parameterization of the model,migration velocity analysis is thought to be ill-posed and ill-conditioned.

但由于非线性问题的线性化、噪声及不具物理意义的模型参数化假设，偏移速度分析是不适定和病态的。

The main contents include: Some preliminary theory (introduction to Sobolev spaces and variational formulations for differential equations); finite element methods for one-dimensional elliptic problems; the construction methods for general finite elements; error estimates for interpolation operators and inverse inequalities for finite element spaces; a priori and a posteriori error estimates for the finite element method for high-dimensional elliptic problems; some typical spectral methods for partial differential equations; error analysis for the spectral approximation for some linear and nonlinear partial differential equations.

主要内容有：准备知识（Sobolev空间的基本概念和主要结果，微分方程的变分描述）；一维椭圆型方程有限元方法；一般有限元的构造；插值算子误差估计和逆不等式；高维椭圆型方程的先验、后验误差估计；求解偏微分方程的几类谱方法；线性与非线性问题谱逼近的误差分析等。

Genetic algorithm for regularize inversion is designed, which can avoid linearization difficulty in the nonlinear problem and solve the ill-posed problem in magnetotelluric inversion.

设计了基于正则化反演的实数编码混合遗传算法，避免了非线性问题的线性化困难，并较好的解决了大地电磁测深反演的不适定性和非唯一性。

Finally, according to market conditions and market products this article paper analyzes the trends in the development of camera technology, and designs a color night vision camera.

最后根据市场情况和市面上产品的情况分析了摄像机技术的发展趋势，并设计了一款彩色夜视摄像机。

Only person height weeds and the fierce looks stone idles were there.

只有半人深的荒草和龇牙咧嘴的神像。