查询词典 summation formula

Studying the mean value of two Smarandache LCM Functions by using elementary and analytic method,and giving their asymptotic formula.

利用初等方法研究了两个包含Smarandache LCM函数的均值性质，并给出其渐近公式。

In this paper,we use elementary and analytic methods to study some problems on some special sequences and functions,and give their mean values,concisely counting formula and asymptotic formulae.

基于对上面所述问题的兴趣，本篇硕士论文利用初等及解析的方法研究了Smarandache教授提出的一些数论中的特殊序列及函数的性质，并且推广相关函数的结果，给出它们的均值计算公式和渐近公式。

We studied the asymptotic properties of the integer part of the k-th root positive integer and gave an interesting asymptotic formula.

研究了一个关于正整数κ次根的整数部分序列的均值，并利用初等的方法得到了一个有趣的渐近公式： 3。

By deleting integral singular point, the Green function and its far field asymptotic formula that is satisfied with radiation condition is obtained.

对兴波速度势表达式中的积分奇点进行了处理，得到满足辐射条件的格林函数和远场渐近解。

By using the estimate for trigonometric sums and the esitimate for general Kloostermann sums, we study the asymptotic properties of N, and give a sharper asymptotic formula.

本文的主要目的是利用三角和估计及广义Kloostermann和估计研究了N的渐近性质，并得到一个较精确的渐近公式。

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。

In comparison to the asymptotic formula for the independent case,ours contains an extra factor representing the impact of the dependence of X and Y.

我们的结果显示，当单个索赔额分布F为指数分布时，上述尾概率均与gamma分布尾概率与某因子的乘积渐近等价。

Some methods mentioned in the elementary number theory and analytic number theory are used to consider the problems which are related with the Smarandache functions, then a conjecture and an asymptotic formula are given, a special equation is solved and Smarandache-Riemann sequences are generated.

本论文基于对Smarandache问题的学习与研究，运用了初等数论与解析数论中的一些研究方法，对与Smarandache函数相关的问题进行了简单的思考，给出了一个猜想，一个渐近公式，解决了一个特殊的方程，推广了Smarandache-Riemann序列。

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。

It also analyzes the feature and development of semi-finish grinding and finish grinding by roller press.

同时进行了辊压机半终粉磨和终粉磨系统的特点和发展分析。

When I got there, water was dripping slowly from the ceiling and forming a pool on the floor.

当我到那里的时候，水是慢慢地从天花板滴而且形成在地板上的一个池。