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In this paper the method of combinational mathematics is used to deduce the probability generation function of the longest run in the Bernoulli trials,and get the probability generation function without using its probability function of kth order geometric distribution.

游程及其相关理论广泛地应用于随机检验、质量控制、DNA数据分析等许多领域,提出使用组合数学的方法推导出贝努利试验中最长游程的概率发生函数的计算公式,利用所得到的结果可以不用k阶几何分布的概率函数而很容易地得出它的概率发生函数

Code of drawing a map in Bessel Newmann function, WINDOWSthe generalized Bessel equation and the Hankel function.

并利用球Bessel函数与半奇数阶Bessel函数的关系计算了本征函数的模方。

In chapter 3, the author considers that approximate value of Bessel fuctions and transcendental equations are main ob stacle to realize computer simulation for isolated well principle. The character of Bessel functions are studied, new approximate values of Bessel function are set forth.

第3章中,针对"割离井法"微机实现的难点——贝塞尔函数的渐近计算和超越方程的合理求解,研究了贝塞尔函数的性质,提出了新的贝塞尔函数的渐近式,并采用ZEROIN法完成了超越方程的求解,最后编制出新的"割离井法"计算程序。

In this paper we study the method of interpolation by radial basis functions in H~k(k ≥ 1) and give some error estimates. By means of such interpolation with a special kind of radial basis function, we construct a basis in H~k(k ≥ 1). Combined with the Galerkin method, this theory can be applied to solve boundary value problems for elliptic partial differential equations (such as the third boundary value problem for Poisson equation and the corresponding problem for the biharmonic equation), and some numerical experiments are also given.

本文从求解偏微分方程的角度出发,在被逼近函数u属于一般的Sobolev空间H~k(k≥1)的情形,引入了一种径向基函数插值方法,并建立了相应的误差估计;再利用这种插值性质,从一类特殊径向基函数出发构造Sobolev空间的一组基,针对Poisson方程第三类边值问题和重调和方程类似边值问题,为用无网格算法求解偏微分方程边值问题建立了相应的理论,并通过算例来验证了这一算法。

Math: any binary relation that is complete, transitive, and continuous can be represented by a continuous real-valued utility function

效用指数,效用函数的存在性:理性是必要条件;连续性是充分条件,效用函数也是连续函数

Additionally, the properties and normal extension construction of normal Boolean function is studied, and checking algorithm of normal is discussed.

另外,本文分析了正规布尔函数的性质和正规扩展的构造方法,讨论了布尔函数正规性的检验算法,这对于Bent函数的分类问题的解决具有重要意义。

Bent function is a class of the highest nonlinearity Boolean function, and Boolean function is the key in the cipher system.

Bent函数是一类具有最高非线性度的布尔函数,布尔函数是对称加密密码体制设计和分析的关键。

The relation between general one-way function and bounded one way function is given by authors previously.

该文的作者在以前的文章中,对有界单向函数与一般单向函数的关系进行了探讨,从而得到一般单向函数的一个刻画。

Limit the type of function is more extensive and complex, involving a bounded function, infinitely small amount, equivalent to infinitesimal, the continuity of function, and many other content.

函数极限的类型较为广泛、复杂,涉及到有界函数,无穷小量,等价无穷小,函数的连续性等多方面的内容。

On the basis of the coincident relation between a radar signal and a radar ambiguity function, an arbitrary bounded two-dimensional function of intergrable square is presented as a necessary and sufficient condition for radar ambiguity function.

本文基于雷达信号和雷达模糊度函数间的一致关系,提出了任意平方可积的二维有界函数是雷达模糊度函数的充要条件,并且指出它包括了Wilcox提出的离散的可实现条件。

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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。

There is no differences of cell proliferation vitality between labeled and unlabeled NSCs.

双标记神经干细胞的增殖、分化活力与未标记神经干细胞相比无改变。