函数

The authors studied carefully two numerical differential methods, finite difference method and rational polynomial technique, and pointed that FDM is the special ease of RPT when the limit state function is linear. Accordingly, FDM3 can be used for the continuous linear limit state function and RPT5 for the continuous nonlinear limit state function. For the discontinuous limit state function, RPT should be used because of the large error of FDM.

对于可靠度分析中常用的有限差分法及有理多项式法这两种数值微分方法，本文详细研究了二者间的异同及其求导结果与步长的关系，指出了对于相同的步长控制系数及取样方式，FDM是RPT在线性情况下的特例；对于连续的线性功能函数，可直接用3点FDM求导；对于连续的非线性功能函数，可用5点RPT求导；对于非连续的功能函数，应采用RPT求导。

On the basis of the idea of partition of unity, a discontinuous function and the two-dimensional asymptotic crack-tip displacement fields are added to the displacement interpolation formula to account for discontinuity of the contact surface and stress singularity near the contact surface tip respectively. Governing equations are deduced by virtual work principle and the integral of the discontinuous functions are calculated by Gauss integral through sub-elements cut by discontinuous surface.

该方法基于单位分解思想，在位移插值形式中引入不连续函数和裂尖渐近位移场函数分别反映接触面的不连续性和接触面端点的奇异性；根据虚功原理建立有限元支配方程，接触面不连续函数积分采用分区高斯积分的方法。

It gives the concept of the disturbing sub function μ A ~, which extends the general sub function.

提出隶属函数μA～的扰动概念，给出了扰动隶属区间函数的定义作为一般隶属函数的一种延拓。

By means of the projection method,adding a small disturbing function to the objective function, the penalty method, andthe gradient method, this dissertation proposes several neural networks for solvingsaddle point problems and minimum radius of ball-coverings problems, and investi-gates the stability of the proposed networks by the LaSalle invariance principle andthe Lyapunov method, so as to design neural networks which avoid getting stuck inthe local minimum.

本文针对约束鞍点问题和球覆盖最小半径的计算问题，分别利用投影法、对目标函数加上很小"扰动函数"的逼近法、罚函数法和梯度法等建立神经网络模型进行求解，并基于LaSalle不变集原理和Lyapunov直接法等工具，对模型的动态特性进行研究，从而设计出避免陷入局部极小的优化计算神经网络模型。

Smarandache LCM function and the divisor function,a mean value of composite function which involving the pseudo-Smarandache functions is given,and obtain some interesting identities and asymptotic formulae for them.

Smarandache无平方因子函数Zw和新的伪Smarandache函数K的复合函数的均值问题，并给出一些有趣的恒等式及渐近公式。

Software Description: XCCalc is a Floating-Point calculator program with the following features:- Can calculate with complex numbers like z = x + i*y - Extra precision to millions of decimal places - Uses Fast Hartley Transform to speed-up long multiplies - Separate input and output notation, base 2 to base 36 - Efficient Transcendental functions - Hyperbolic functions - Greatest Common Divisor function.

XCCalc XPCalc 是一款带有下列功能的浮点计算器软件：可以计算诸如 z = x + i*y 这样的复杂算术公式；带有数百万小数位的额外精度；使用 Fast Hartley Transform 以加速长乘法计算；基于2到36个单独的输入和输出表记法；高效的验算函数；双曲线函数；最大公约数函数。

A sufficient condition that ensures the stability of the origin of the system is derived, and the domain of attraction may be enlarged by applying a fuzzy anti-windup compensator to the considered system.

构造了一个更一般的Lyapunov函数—模糊Lyapunov函数来分析系统的稳定性以及估计系统的吸引域，克服了寻求一个公共的正定矩阵P的困难，使用模糊Lyapunov函数得到的系统的吸引域估计保守性更小。

They are the deflection w, the rotations of the normal to the undeformed median surface Φx,Φy and the force function F. In the present paper these dependent functions are expressed as generalized double Fourier series with beam eigenfunctions as general terms.

本文中将这四个独立的函数表示为广义傅里叶级数，选用了两个变量分离的梁本征函数之积构成广义傅里叶级数的通项，通过梁本征函数中的待定常数使所选级数预先满足简支、固支或弹性支持边界条件。

Double channel sequence image produced by infrared scene generator and real target sequence image of double channel imager--AGEMA THV900 are detected and fused, and the results are satisfactory. data fusion ; D S evidence theory ; target detection ; infrared image

对于弱小目标，复杂背景、大气传输和自身噪声的干扰，引起传感器量测的不确定性，通过 D- S证据理论对多传感器的证据进行数据融合，能够达到较好的目标检测效果。1 基本概率分配函数、置信函数和似然函数D- S证据理论起源于 Dempster早

The contents involve the recursion algorithms, the dual functional of SBGB basis and the transformation formula between SBGB basis and Bernstein basis.

给出它们的递归算法，SBGB基函数的对偶泛函，并由此得到SBGB基函数与Bernstein基函数转换公式。

This one mode pays close attention to network credence foundation of the businessman very much.

这一模式非常关注商人的网络信用基础。

Cell morphology of bacterial ghost of Pasteurella multocida was observed by scanning electron microscopy and inactivation ratio was estimated by CFU analysi.

扫描电镜观察多杀性巴氏杆菌细菌幽灵和菌落形成单位评价遗传灭活率。