函数

Based on the fundamental works done by professor Fan Ky, who was the founder of this direction, the present paper introduces the definitions of the class of meromorphic univalent operator-valued functions with positive operator coefficients on Hilbert space and the argument of the operator-valued functions, improves and extends some problems in classical geometry theory of complex functions to the case of operator-valued functions, and studies them respectively.

基于该方向的首倡者Fan Ky教授关于该理论的奠基性工作，本文引入了一类星形算子值函数的定义以及解析算子值函数辐角的定义，将经典的复变函数几何理论中的一些问题推广到了解析算子值函数的情况，并分别进行了讨论。

Keywords: Machine discovery,recursive function,primitive recursive formula,goal restraint.

递归函数法，该方法把待求函数本身作为唯一的理论项，从而保证了理论项的合适性；其发现能力也有所提高，该方法采用原始递归式定义函数，递归函数在理论上比较完善，故该方法具有很好的理论依据并且便于计算机实现。

In the proposed frame of theory, probability density function or distribution function are also involved, but their standing are secondary. Probability density function is treated only as a probabilistic features of the failure rate function.

在本文倡导的理论体系中，也要涉及概率密度函数或分布函数，但他们仅被视为失效率函数的概率特征，讨论的路线是失效率函数的模式如何决定寿命分布的概率性质。

About the title of statistic of planar vector, probability, its solve problem process to permeating function form not only, and still permeating function thought; again criterion the tool that derivative is research function, had derivative, function content more appear profundity, rich and colorful.

有关平面向量、概率统计的题目，其解题过程不仅渗透着函数形式，而且还渗透着函数思想；再则导数是探究函数的工具，有了导数，函数内容就更显得深刻、丰富多彩。

Basing on the existing theory of crisp matroids and fuzzy matroids, the paper studies mainly fuzzy rank function and fuzzy submodularity function, The main contributions of the pap...

本文在现有拟阵和模糊拟阵理论的基础上主要研究了模糊秩函数以及模糊子模函数等内容，现分述如下：(1)从传统的子模函数出发，定义了模糊子模函数。

In study of the truss structural dynamic characteristics analysis, randomness of the structural physical parameters and geomtric ones are all considered. The finite element model of the stochastic truss is built and the random functions of its natural frequencies are obtained by use of the Rayleigh quotient. Employing probabilistic distribution function expression for the random functions, through a series of mathematical processing including determination of limits of integrals, variable substitution etc., the probaabilistic density function for the truss natural frequencies are gained to realige accurate calculation for the reliability of the truss natural frequencies.

考虑结构物理参数和几何参数的随机性，通过构建随机参数桁架结构的有限元模型，利用瑞利商公式获得了结构固有频率随机函数的计算表达式，应用随机函数的概率分布函数表达式，通过确定积分区间、变量替换、积分顺序变换等一系列数学上的处理，获得结构固有频率的概率密度函数，进而实现对结构固有频率可靠度的精确计算。

In recent years, Feng Kang has advanced a more natural and direct redu-ction, i. e. the reduction via Green's formula and Green's function.

近年来冯康又提出一种更自然而直接的归化，即从Green公式及Green函数出发将微分方程边值问题化为边界上的含有广义函数意义下发散积分有限部分的奇异积分方程，这种归化在各种边界归化中占有特殊地位，被称为正则边界归化，本文将这一理论应用于重调和椭圆边值问题，研究了其正则归化的性质，并通过利用Green函数、Fourier分析及复变函数论方法等不同途径求出了在上半平面、单位圆内部、单位圆外部三种区域的Poisson积分公式及正则积分方程，其离散化可用于实际计算。

It is assumed that the reinsurer's risk must be less than a given constant and in such a condition the optimal reinsurance contract in order to minimize the insurer's risk is found out.

对于原保险人的风险度量，本文采用了方差风险函数、半方差风险函数和最小一乘L_1风险函数，并且分别讨论了这三种风险度量下最优再保险函数存在的充分条件。

Then, we focus on the construction of a new type of kernels. It has been pointed out that the kernel function of SVM is equivalent to the reproducing kernel of a certain Reproducing Kernel Hilbert Space.

首先对线性核函数、Gaussian核函数等已经用于广泛实践的核函数的性能给出了简要评述，然后重点构造了一类新的核函数。

A new method for estimating parameters is proposed due to the characteristics of artificial fish school algorithm such as overcoming the local optimal value and robustness. Firstly, the parameters of production function are constructed into the artificial fish and residual sum of squares is designed into the function of food consistence, secondly, the parameters of production function are estimated by the random behavior, preying behavior, swarming behavior and following behavior.

基于人工鱼群算法能够克服局部极值、鲁棒性强等特点，给出了一种生产函数中参数估计的通用新方法，该方法首先将生产函数模型中的参数构造成人工鱼模型，利用残差平方和设计食物浓度函数，然后通过人工鱼的随机、觅食、聚群、追尾等行为，对生产函数中的参数进行估计。

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。