查询词典 objective function

In the forth Chapter, we study the mean value of properties of Smarandache factorial function and it s mean value, using analytic methods give several interesting asymptotic formula for the reciprocal of S_k function.

在第四章中，本文研究了Smarandache高阶乘函数的性质及其均值估计问题，利用解析的方法得到一系列的渐进公式。

Using the elementary methods, we studied the hybrid mean value involving Smarandache function and the least prime divisor function, and gave an asymptotic formula.

用初等的方法研究了一个Smarandache函数与最小素因子的均值，并得到一个渐近公式。

This paper introduced the odd sieve sequence, the methods of character, estimate and triangle sum are used to study the mean value of the divisor function. An asymptotic formula of the divisor function is gave in the odd sieve sequence set to through the analytical method.

引入了奇筛数序列，主要利用特征和估计及三角和方法，研究了除数函数的均值性质，并通过解析方法给出了除数函数在奇筛数序列集合中的一个的渐近公式。

For any positive integer n, about the Smarandache LCM dual function SL*, the main purpose of the fifth Chapter is using the elementary method to study the calculating problem of a Dirichlet series involving the Smarandache LCM dual function SL* and the mean value distribution property of SL*, obtain an exact calculating formula and a sharper asymptotic formula for it.

对于给定的自然数n，关于Smarandache LCM对偶函数SL~*，本文第五章利用初等方法研究了一个包含SL~*的Dirichlet级数计算问题及SL~*的均值性质，分别给出了精确计算公式和一个较强的渐近公式。

Number theory function; Smarandache function; Mean value; Asymptotic formula

基础科学，数学，代数、数论、组合理论数论函数； Smarandache函数；均值；渐近公式

From our results, it can be known that the weakly asymptotic order of the information-based algorithm whose recover function is the classical Bernstein interpolation sequence is below that of the corresponding minimal information radius whose permissible information operator is function value.

通过我们的结果可以知道，以经典的Bernstein多项式算子列作为计算恢复函数的信息基算法，其在Wiener空间(或1-重积分Wiener空间)下的的平均误差的弱渐近阶均低于相应的以函数值计算为可允许信息算子的最小平均信息半径的弱渐近阶。

Equidistance point and difference theory in theory of function approximation are studied. Meanwhile, the relation among difference, difference quotient and derivate is revealed. By drawing Lagrange's and Cauchy's theorem of mean on difference and Taylor's formula into difference function, four theorems, such as Lagrange's theorem of mean on difference, are concluded in simple way. On the basis of these conclusions, the asymptotic property of middle point is studied, a series of new conclusions are drawn and the discussions on the asymptotic property of middle point in differential mid-value are summarized.

对函数逼近论中等距节点和差分理论进行了研究，揭示了差分、差商与导数之间的联系；将Lagrange中值定理、Cauchy中值定理、Taylor公式引入到差分函数中，简明地推导出Lagrange差分中值定理等4个定理，并在此基础上对"中间点"的渐近性进行了研究，得出了一系列"中间点"的渐近性的结果，概括了有关文献对微分中值公式的"中间点"的渐近性的讨论；给出的引理改进了函数逼近论的证明方法，精简了函数逼近论中的一些内容。

It is proved that, when the value of critical threshold less than 1, the disease free equilibrium point is globally asymptotically stable. Further more, Bursaphelenchtis Xylophilus is used to construct the Lyapunov function, and the stability theory of Lyapunov function is used to prove that the equilibrium point is Global asymptotic stable. It explains that the Bursaphelenchus Xylophilus wiil eventually disappear.

证明了当临界阈值小于1时，无病平衡点是局部渐近稳定的，进一步利用巴尔巴欣公式构造Lyapunov函数，运用Lyapunov稳定性理论证明了该平衡点的全局渐近稳定性，说明松材线虫病会最终消失；当临界阈值大于1时，病虫害平衡点是局部渐近稳定的。

By regression analysis of the obtained data, a relationship has been found between the bath depth and ingot height, which can be expressed by an exponential function, h(0,Y)=A e-B/Y, where A is the asymptotic value of the exponential function (when Y→∞hmax=A), B is a shape coefficient of the curve.

通过对已得数据的回归处理，找出了熔池深度h及锭高Y间的相关规律，得到h_(0，Y)=A·e_的指数函数关系，A是指数方程的渐近线，当Y+∞时h_(max=A是曲线形状系数。A和B均为重熔电流的函数，A=f_1，B=f_2，所以，h_(0，Y)=f_3。

Haven serves a function integratedly extend and perfect the development that can sort for modern other people to provide a platform, promote what attach most importance to the sth resembling a net of drift net of modern other people that wants one of key positions with haven to form; at the same time, the development that modern other people sorts offerred capacious development prospect for haven, the development of stimulative haven, right also of haven function extend and perfect raise new requirement.

港口综合服务功能的拓展和完善可为现代物流的发展提供一个平台，促进以港口为重要枢纽之一的现代物流网络的形成；同时，现代物流的发展为港口提供了广阔的发展前景，促进港口的发展，也对港口功能的拓展和完善提出新的要求。

A backer of an Afghan law that critics say legalizes marital rape has rejected the international outcry as foreign meddling.

饱受批评的一项法律的拥护者说合法化的婚内暴力不会受国际舆论的干涉。

Years ago, a ancient Egyptian fleet went to the Land of punt for seeking a kind of flavor named "myrrh", and aromatic plants which has dense exotic style for the queen Hatshepsut.

3500年前的一个古埃及的舰队到&彭特之地&寻找一种叫没药的香料。