函数

For non-Kolmogorov turbulence, the anisoplanatiam error, the angular correlation function of Zernike polynomials, the residual phase structure function and the long-exposure OTF after low-order modes correction are analyzed.

分析了非科尔莫戈罗夫湍流情况下，自适应光学系统低阶模式校正时的非等晕误差、泽尼克系数角相关函数、残余相位结构函数以及长曝光光学传递函数，并定义了一个新变量模式校正因子，用来有效评价目标非等晕误差对低阶模式校正自适应光学系统补偿效果的影响。

Theorem 3 Let be continuous on,and let be any antiderivative of on .

如果函数是连续函数在区间上的一个原函数

Theorem 2 If is continuous on the closed interval ,then = is an antiderivative of on .

如果函数在区间上连续，则函数=就是在上的一个原函数。

Antiplane responses of a scalene triangular hill or structure, an isosceles triangular hill or structure, an isosceles triangular hill with a subsurface cavity to incident SH waves are studied in this paper based on methods of wave function expanding, complex function, moving coordinates and by employing idea of assistant function.

本文在"分区"和辅助函数思想的指导下，综合利用了波函数展开、复变函数、移动坐标三种方法，研究了等腰三角形凸起地形和坝体结构、非等腰三角形凸起地形和坝体结构、浅埋圆孔附近等腰三角形凸起地形等三类问题对SH波的散射。

Combining the definition of CWT and the derivative property of convolution, we constructed a general method to calculate the approximate derivative of signal through CWT by using the first and second derivative of Gaussian function, Haar, and the first derivative of three-order-Spline function as wavelets. As compared with the other approaches of calculating derivative, which include the numerical differentiation, polynomial filters, Fourier transform, and the recently proposed DWT method, fast calculation and simple mathematical operation were remarkable advantages of CWT method. For the signal corrupted by severe noise (Signal-toNoise Ratio=5), the satisfactory results could also obtained via CWT method through appropriately adiusting the dilations.

在此基础上，(1)结合连续小波变换的特点和卷积的微分性质，提出了使用Gaussian函数的一阶和二阶导数，Haar和三次样条函数的一阶导数作为小波函数的连续小波变换计算信号近似导数的一般性方法，与其他导数计算方法(包括数字微分法，多项式滤波法，Fourier变换法和离散小波变换法)相比，本法简单便捷，计算速度快，对于噪声含量较高的信号(S/N为5)，只要适当调节尺度即可获得比较满意的结果。

Several strong results on neural network approximation capability obtained in this dissertation are important in the approximation theory and applications of neural networks.

本文系统地研究了多层神经网络的非线性逼近能力，给出了多层网络可一致逼近有限维空间R〓紧集上的连续函数、无穷维函数空间紧集上的连续泛函和连续算子以及布尔函数的理论证明。

In classical economics and new classical economics, an enterprise is one of components of market and has apriority as an organization, so they do not discuss its economic character but focus on its actions of business management, like its production function and its extension, and the cost theory is suited to them.

在西方古典经济学与新古典经济学里，企业是市场的构成要素，作为一种组织具有先验性，因此，它们并不考虑组织本身的经济意义，而集中探讨企业的生产经营活动，即生产函数及其拓展，其成本理论也是与生产函数相匹配的成本函数的研究。

Suppose is two-dimension random variable, for arbitrary real value ,call distribution function for two-dimension random variable or unity distribution function .

Definition 3.2 设是二维随机变量，对于任意实数，称二元函数为二维随机变量的分布函数，或称为的联合分布函数。

Finally this paper have given a method of finding g functions depends on one-dimensional distributions. And the relations between gfunctions and the generators of Archimedean copula were found on someconditions.

本文最后给出了一种基于一维分布函数来寻找g函数的方法，并且找到了在一定条件下，g函数与阿基米德copula之间生存元存在的一种联系。

For example, assume we have two functions named func. Each function takes a pointer to function argument.

例如，假定有两个名为 func 的函数，每个函数接受一个指向函数实参的指针。

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。