类函数

Class definition, flow charts of kerne l functions and the computer algorithm were given.

主要针对公开密钥rsa算法在面向对象编程方法visual c++ 6.0下的实现，系统地给出了类的定义、核心函数的实现流程和使用的主要计算机算法。

Using kronecker product of matrix theory, basic link space code chips are recombined and a new kind of LS code is obtained.

对基本LS码片用矩阵中克罗内克积方法重新排列，得到了一类新的LS码，并从数学上证明了这类新码非周期自相关函数具有均匀的IFW，以及组内码字之间的IFW也是均匀分布的。

It is well-known that reduced Hessian method is one of the most efficient methods for solving large scale constrained optimization problems. However, the convergence analysis for the method requires of the positive definiteness of the reduced Hessian of Lagrangian function.

众所周知，既约Hessian方法是求解较大规模约束优化问题的一类有效方法，但已有的这类方法的全局收敛性分析需假定拉格朗日函数的既约Hessian矩阵的一致正定性。

Within the WBEPM theory,the transition probabilities and oscillator strengths of some heavier and light atoms and ions are investigated.We also used the conceptions of spectrum-level-like series and iso-spectrum-level series to study the energy levels of some atoms.Based on the previous work,we used double generalized Laguerre polynomial to calculate the value for the ground-state energy of He atom.

本论文在郑能武教授提出的最弱受约束电子势模型理论基础之上，对若干较重和轻原子离子的跃迁几率和振子强度作了研究；引入类光谱态能级序列的概念和等光谱态能级序列的概念研究了一些原子离子的能级性质；并在前人工作的基础上用双广义拉盖尔函数对氦原子的基态能量做了计算。

For this purpose, the compactly supported radial basis function and the moving least squares approximation based ones are integrated into the aforementioned two global optimizers. As a result, two novel hybrid algorithms are introduced.

其次，为解决电磁场逆问题分析、计算中由于随机类优化算法需进行数以千计次电磁场的数值分析，以致计算时间和计算量难以满足工程分析实际要求的难题，本文将表面响应模型法引入电磁场逆问题的求解，研究了基于紧支径向基函数和基于移动最小二乘法的两种表面响应模型，并将其分别与改进的遗传算法和粒子群算法相结合，提出两种不同的混合快速全局优化算法。

This dissertation focuses on the spherical wavelet expansion of the earth gravity field and its application. Based on the concept of the integration approaches and radial basis functions the spherical wavelet is put forward, with that the earth gravity field is described in a new way, and some other researches are conducted, they are: spherical wavelet regularization, multiscale approximation of satellite gravity measurement, down continuation of airborne geavimetry data, the least squares properties of geopotential wavelet approximation, the spherical wavelet solution of two kinds of BVP and spherical selective multiscale reconstruction.

本文围绕地球重力场的球面小波展开及其应用进行研究，在积分逼近与径向基函数概念的基础上引入了球面小波，利用球面小波对重力场展开进行了重新表示，在此基础上进行了球面小波正则化、卫星重力多尺度逼近、航空重力数据向下延拓、重力场球面小波逼近的最小范数性质、两类边值问题的球面小波实用解、球面选择多尺度去噪方法等方面的研究。

Clustering algorithm based on the fuzzy likelihood function was used to determine the structure and the premise parame...

基于模糊似然函数的模糊聚类算法确定模型结构和前件参数，并结合最小二乘法完成该模型后件参数的识别。

Clustering algorithm based on the fuzzy likelihood function was used to determine the structure and the premise parameters of the Takagi-Sugeno fuzzy model, which the conclusion parameters of the model was identified by least squares method.

基于模糊似然函数的模糊聚类算法确定模型结构和前件参数，并结合最小二乘法完成该模型后件参数的识别。

Ifandare continuous functions andis a smooth curve C which runs from a to b asvaries, then the corresponding line integral with respect to coordinate variables or line integral of the second type is expressed as follow

定义 设和是连续函数，是一光滑曲线，从a变到b，则对应的关于坐标的曲线积分或第二类曲线积分为

Two cases are commonly distinguished, depending on whether the equation is linear or not.

回归也是类似的，但考虑到该数据是不精确的。鉴于一些要点，并测量值的一些功能在这些点，我们要确定未知函数。

The split between the two groups can hardly be papered over.

这两个团体间的分歧难以掩饰。

This approach not only encourages a greater number of responses, but minimizes the likelihood of stale groupthink.

这种做法不仅鼓励了更多的反应，而且减少跟风的可能性。