特征函数

It is a kind of itertive regularization method,and has the function adjusting regularization parameters automatically,so it overcomes the difficulties when solving the regularization parameters.

因此，对于这样的反问题，最后都可归结为极小化某些刻画问题的地质特征的测量值与理论计算值的误差平方和的函数的优化问题，约束条件为x≥0。

It is shown that the power function of Mohr strength criterion can describe marble strength much better.

研究结果表明，幂函数型Mohr强度准则比直线型Mohr-Coulomb强度准则能更好地描述大理岩的强度特征。

It describes the heteroskedasticity character of interest rate by projecting the sample data onto the EGARCH (1, 1) auxiliary model, makes making the covariance matrix as moment conditions and uses EMM to estimate the parameters. EMM avoids the disadvantage of infeasible or computationally intensive of maximum likelihood functions.

通过将观测数据映射成EGARCH(1， 1)辅助模型描述利率行为的异方差特征，以协方差矩阵为矩条件，用有效矩估计方法得出模型参数，避免了最大似然估计法似然函数不可知或难以求积分的缺陷。

Because the method employs the technique along the characteristics to discretize the convective term and it is unnecessary to determine the boundary condition of the vortex ahead of time, it is very convenient to solve the Navier-Stokes equation and natural convection problem.

该方法对对流项仍采用沿特征线离散技术，并且不需要事先确定漩涡度的边界条件，从而可以方便地求解流函数-漩涡度形式的Navier-Stokes方程及自然对流问题。

We obtain the risk process involved in this model,the statistical properties of the surplus process,and statistical features of the claim numbers and the probability distribution of the total amount of compensation.The three types of business of the risk model is given when the number of claims obey Poisson distribution and negative binomial distribution.We make a comparison between the risk model built in the thesis and the classic risk models with independent claim numbers when the amount of claims obey Weillbull distribution and Exponential distribution.The results have a good practical significance.

其次，考虑不同险种间的相互关系，建立了一种含有主副理赔的风险分析模型；借助随机过程和经典风险理论，对该风险模型所涉及的风险过程、盈余过程的统计特性以及理赔总额的概率分布、数字特征和矩母函数进行解析研究，给出了主理赔次数服从泊松分布和负二项分布的这种风险模型的具体实例，并在理赔额变量服从Weillbul分布和Exponential分布的情况下，把文中所建风险模型和理赔次数相互独立的风险模型作了比较，所得结果有很好的现实意义。

In chapter 4, the Newlands harmonic wavelet is improved and a new type of wavelet with better time-frequency characteristic is constructed. Frequency band of signal can be divided arbitrary with the improved harmonic wavelet so that the phenomena of aliasing are reduced. Several typical fault signals in Electromechanical System are analyzed with it. In addition to the improved harmonic wavelet in chapter 4, a new half-complex wavelet is presented to improve the complex wavelet, which is given by Chaari.O. A unilateral recursive algorithm is derived to improve the real-time characteristic. A parameter n is imported to make the time-frequency and filtering characteristics of it better and its ability of extracting fault feature is enhanced.

第四章通过对Newland谐波小波的改进构造频域紧支撑、时域性能良好的新型小波函数，可实现信号频带的任意划分，从而减少频带混叠现象，采用改进的谐波小波对多种典型的机电系统故障信号进行了分析；以Chaari.O复小波为基础构造了一个半复小波，从提高复小波算法的实时性出发，推导了半复小波单向递推算法，通过给原小波设置可调参数的方法，实现了一种能满足小波基本条件的复值小波，可以通过参数的调整调节小波滤波器在Hilbert空间的时频特性和相应的滤波性能，以加强半复小波对故障特征的提取能力。

The multiple nonlinear trend of autocorrelation function is presented for similarity search of high frequency financial data, and experiments about trend prediction of high frequency financial data have been done.

提取多元时间序列的自相关函数的多重非线性特征，以此来建立金融高频数据的相似性查找方法，并就金融高频数据的趋势预测展开具体的应用研究。

Based on these features the orientation relation function is used to extract structure information and we can get the writing order of each part of a character based on the normal writing rules of Chinese character.

通过对这些特征分析按照关系位置函数，得到文字的结构信息，并利用中文文字的书写时的书写规律，得出文字中个子图的书写顺序。

A method of character structure analysis is proposed to analyze regional feature and orientation relation feature of calligraphic character. Based on these features the orientation relation function is used to extract structure information and we can get the writing order of each part of a character based on the normal writing rules of Chinese character.

通过对这些特征分析按照关系位置函数，得到文字的结构信息，并利用中文文字的书写时的书写规律，得出文字中个子图的书写顺序。

Then, the statistic characters about carbonation depth such as average, deviation, model of normal distribution and its density function and etc. are also given.

同时，给出了碳化深度的统计特征即平均值、标准差、变异系数统计量和碳化深度正态分布的概率模型及其密度函数。

However, as the name（read－only memory）implies, CD disks cannot be written onorchanged in any way.

然而，正如其名字所指出的那样，CD盘不能写，也不能用任何方式改变其内容。

Galvanizes steel pallet is mainly export which suits standard packing of European Union, the North America. galvanizes steel pallet is suitable to heavy rack. Pallet surface can design plate type, corrugated and the gap form, satisfies the different requirements.

镀锌钢托盘多用于出口，替代木托盘，免薰蒸，符合欧盟、北美各国对出口货物包装材料的法令要求；喷涂钢托盘适用于重载上货架之用，托盘表面根据需要制作成平板状、波纹状及间隔形式，满足不同的使用要求。