数值函数

Therefore, it's necessary to solve the gradients of the limit state function by numerical methods.

因此，对于隐式的或复杂的显式功能函数，必须采用数值微分方法来求解功能函数的梯度。

We derive the local values of parameters of this barrier function and obtain the complexity bound of a full-Newton step interior-point algorithm based on this local self-concordant function for linear optimization problem.

通过求解此障碍函数的局部参数值，我们得到了求解线性规划问题的基于此局部Self-Concordant障碍函数的纯牛顿步内点算法的理论迭代界。

It obtained analytic expression or arithmetic solution of the mean value, the mean square value, the related function and the spectral density function of heat conduction system of 0-D, 1-D, 2-D and 3-D, by applying stochastically theory of linear system and the results of the first part.

该部分利用线性系统的随机理论和第一部分的成果，获得了0维、1维、2维和3维导热系统均值、均方值、相关函数、谱密度函数的解析表达式或数值解。

Igusa's p-adic zeta function is associated to a polynomial f in several variables over the integers and to a prime p. It is a meromorphic function which encodes for every i the number of solutions M_i of f=0 modulo p^i.

在探究利用辐射型基底函数去解超奇异积分方程的数值解，我们选择了多重二次曲面函数和薄板型云线以及李纳德多项式去估计我们的解。

The basic idea was to discrete the structure and find the load function according to the energy criterion of buckling and the principle of random displacement method. As the critical load is the minimum of the load function, a problem of frame buckling can be transformed into an optimization problem. Therefore, the critical load can be found through solving the optimization problem.

先将结构离散为一个有限自由度系统；然后根据有限自由度系统平衡稳定性的能量准则和随机位移法的基本原理，建立符合能量准则的载荷函数，该函数不为零的最小值即为临界载荷，由此将稳定问题转化为无约束的多维优化问题；最后应用遗传算法求出相应于最优解的目标函数值。

An improved Schur multistep method has been presented for controlling error severely cumulating and increasing computational accuracy.

为解决刚性问题中导函数项的"病态性"（导函数中同时含有较大参数和较小参数），本文提出了一种改进的Schur积多步法，数值实验表明，该方法能很好地抑制误差的急剧累积，与原方法相比，计算精度得到较大提高。

This paper presents an approach for automatic test data generation of non-numeric variables based on genetic algorithms, defines a path fitness function and a character fitness function, and describes a corresponding test data generating process in detail.

本文提出了一种基于遗传算法的非数值型软件测试数据自动生成的方法，定义了路径适应度函数和字符适应度函数，并详细描述了测试数据生成过程。

This paper firstly describes the equivalent transformation of standard normal distribution function, then calculates the function value by using the method of changing step length , and lastly gives out the flow chart and program written in Visual Basic.

对标准正态分布函数公式进行恒等变形，再用变步长法计算正态分布函数值，并用VB6.0完成该函数计算功能模块的程序设计。

The results of numberical simutation show that the new algorithm is more effective than the other algorithms.

该算法弥补了仅用罚函数作为遗传算法的适应函数之不足，数值模拟结果表明该算法比其他算法更加有效。

Function approximation, by fitting numerical analysis operations function fitting image.

函数逼近，通过拟合进行数值分析运算，拟合函数图像。

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。