特征函数

It is composed of a deformable parametric curve and corresponding energy function.

主动轮廓模型是一种基于高层信息的目标轮廓特征提取算法，它由一条可变形的参数曲线及其相应的能量函数组成，以最小化能量函数为目标，控制参数曲线变形，具有最小能量的闭合曲线就是目标轮廓。

In part two, the optical spatiotemporal pattern in ring optic cavity is investigated. Using delay feedback with spatial perturbation method, the system shows roll, square, hexagon, homocentric circle,"honeycomb"and"snowflower" pattern with different spatial perturbation functions. Different patterns can be coexist and compete each other with the same perturbation function, which is the new character of this optical system with delay feedback.

第二部分，利用延时反馈的空间微扰方法研究了环形腔中二能级介质的光学时空斑图的控制，在不同的微扰函数作用下，出现了滚筒状、四方形、六角形、蜂窝状、同心圆以及"雪花"状等不同的斑图，并且在相同的微扰函数下出现了不同斑图之间的竞争，这种竞争是我们发现的这一具有空间微扰的延时反馈非线性光学系统光学斑图的新特征。

This article's conclusion is that flexible method can be a good simulation of real data relevant situation, especially tail dependence. When we compare with the normal copula function method and the t-copula function method in predecessor literature, our model show more predominance than others.

本文的结论是本文的方法能较好的模拟出真实数据相关性的情况，特别是尾部的特征，在和前人文献中常使用的正态copula函数方法和t-copula函数方法进行比较时发现，我们的模型在拟合度方面更具优势。

In the thesis the theory of time series analysis, several models about time series analysis and the dynamic feature of time series analysis are expatiated in detail; how to use autocorrelation function and partial correlation function to judge the model is analyzed; a kind of better rule to determined rank is determined by comparing several kinds of determined rank; thereby the reverse function can be used to forecast.

本文详细阐明了时间序列的基本思想、几种常见的时间序列模型以及时间序列的动态特征；分析如何利用自相关函数和偏相关函数来对模型进行判定；通过对时间序列的几种定阶准则的比较，确定出一种较好的定阶准则来建立模型，从而利用逆函数法进行预报。

The cross-correlation coefficients of the excitation functions for different atomic number Z and for different scattering angle θ cm have been deduced.

观测到激发函数具有耗散反应的特征涨落结构，分析了激发函数之间的长程角度关联以及强烈的电荷数关联。

In study of SOFM, from basical SOFM structure and algorithm, the relationship between neighborhood function and sequential maps has been first analysed by defining the energy function, then learning converge of the network has been discussed and it has been proved that for the SOFM there is a reliable solution to presenting feature vector distribution.

对自组织特征映射的研究，从基本的网络结构和算法入手，首先通过定义能量函数分析了邻域函数与网络有序映射的关系，进而分析了网络的学习收敛性。

The approximate solution to FPK equation isobtained. The joint probability density function and stationary mean out-crossing rateare investigated for ship nonlinear rolling subjected to additive white noise excitation.Melnikov function and phase space flux are applied to analyze highly nonlinear rolland capsizing of ships in the random seas. The variation of phase space flux withrespect to the characteristic wave period, significant wave height and damping ofships is studied.

求FPK方程近似解，研究白噪声激励下船舶非线性横摇运动的联合概率密度函数及稳定期望穿阈率，应用Melnikov函数和相空间转移率研究船舶在随机波浪中的强非线性横摇运动及其倾覆问题，考虑波浪特征周期、有义波高及船舶阻尼特性的变化规律，推导了船舶在随机横浪中的极限波高的表达式。

By introducing the NCP function, the KKT conditions of POPF system are transformed equivalently. Based on the transformed nonsmooth nonlinear algebraic equations, the FOSMM is used to determine the POPF model expressed by the numerical characteristic of variables. The model includes nonsmooth functions, so it can be solved by a semismooth L-M method based on the subdifferential.

将概率最优潮流表述为随机非线性规划问题后，利用非线性互补函数将该问题的KKT条件进行转化，基于转化后的非线性代数方程组，利用一次二阶矩法确定了以待求量的数字特征表示的概率最优潮流模型，由于该模型包含不光滑函数，因此采用基于次微分的半光滑L-M方法求解。

The set of the elementary functions is obtained by the successive matching of the signal local nature with the single prototype Gaussian function through regulating its variance, sweep rate, translation and modulation in an adaptive manner.

基函数集是由单一原型高斯函数通过自适应调节其方差、扫频率、时移和频移来匹配信号的局部时频特征而获得。

Focusing on the receiver function variation pattern changing wtih different back azimuths, we introduced different kinds of symmetric systems of seismic anisotropy used often, and summarized some possible causes of anisotropy formation. We show details about how to calculate the response of a stratified anisotropy model with symmetric axis of arbitrary orientation.

本文围绕接收函数在各向异性介质中的方位变化特征，从地震各向异性基本理论、成因入手，详细给出了具有任意对称轴方向的横向各向同性介质中理论接收函数的计算方法。

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。