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。
A tight closed-form formula of system average symbol error rate and its corresponding asymptotic form are derived through analysis, which showed that a diversity order of (KNtNr-KNt+1) can be obtained; and what's more, when the number of receive antennas Nr is very large, a diversity order equals to KNtNr can be extracted.
推导出误符号率SER的闭式解及其近似解，研究表明，可以获得大约(KNtNr-KNt+1)的分集度；另外，当接收天线数目Nr较多时，可以获得大约的分集度。
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。
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 improvement, the paper first studies the asymptotic behavior of the generalized mid-rectangle formula, and then obtains the corrected formula with algebraic accuracy of three degrees.
为了解决这个弊端，对推广的中矩形公式中间点的渐近性质进行论证，并由此得到校正的中矩形公式，它具有三次代数精度。
Let t (G) be the number of unitary factors of finite Abelian group G. In this paper, we obtain an asymptotic formula of t (G) with a better error term.
令t（G）为有限阿贝尔群G的单因子个数.本文得到了∑｜G｜≤xt（G）带有更好余项的渐近公式。
Furthermore, the renewal equation and asymptotic formula of the distribution of the amount of the claim causing ruin are obtained.
此外，还得到了导致破产的索赔额的分布满足的瑕疵更新方程和渐近解。
By using elementary method, a new arithmetic function is studied, and an interesting asymptotic formula is obtained.
利用初等方法研究一个新的数论函数的均值性质，并给出关于这个函数的一个有趣的渐近公式。
Asymptotic Formula of Intermediate Value in Generalized Mean Value Theorem
广义微分中值定理中间值的渐近性公式
An asymptotic formula is given for the sum, where is the Eulers function.
设表示欧拉函数，用分析方法给出了的一个渐进公式。
The famous Simpson Formula in numerical integration is generalized, and the asymptotic properties of mean value is discussed.
推广了数值积分中著名的辛普生公式，讨论了中值点的渐近性。
This paper intends to give a new integral trapezoid formula by using the asymptotic feature of mean value theorem of differential to conclude the estimated formula of definite integral.
利用微分中值定理“中值点”的渐近性，给出一个新的积分梯形公式，由此得到定积分的估计式。
The mid-rectangle formula and trapezoid formula are generalized, and as one of its application, a generalization of midpoint formula in numerical differentiation is obtained. The asymptotic property of obtained middle value is discussed.
将数值积分中的中矩形公式与梯形公式推广到两个函数的情形，并讨论了中间值的渐近性质。
Let p (n) denote the smallest prime factor of n > 1. The asymptotic formula for the sum is given, where fv (n) are a class of arithmetical functions.
设p（n）表示整数n＞1的最小素因子。
~ k, It is studied that the value distribution properties of the prime divisor number function acting on the multi-group combinatorial numbers C~~ ((k)) __ (kn), and an interesting asymptotic formula is given.
k.研究了这种多组组合数Ck（nk）在素因数个数函数（包括重数在内）上的值分布性质，并得到了一个有趣的渐近公式。
In this paper, we give estimated asymptotic covariance of autocovariance function of stationary series with missed value of 0 & 1 distribution. The results are formulas (9) and (10), which are similar to general bartlett's formula.
本文给出按0-1分布规律丢失值的平稳序列自协方差函数估计的渐近协方差，其结界主要是公式（9）及（10），类似于通常的Bartlett公式。
Comparing with the formula in case of independent variables, there is a factor K Q in the asymptotic algorithm, which includes the influences induced by the correlation matrix and the curvature at design point on limited state surface.
新公式比独立变量情况下的失效概率公式增加了一个系数KQ，它包含了相关系数矩阵以及极限状态曲面验算点处曲率对失效概率的影响。
The asymptotic formula of moment generating function for occupation time of transient Brownian motion and symmetric stable process discussed by Dembo and Peres etc.
Dembo和Peres等学者讨论了非常返布朗运动和对称稳定过程的逗留时的矩母函数的极限表达式，并将所得结果用于解决逗留时的粗重分形谱问题。
In 1997, Friedlander and Goldston gave representable asymptotic formula of sums of three or more primes.
1997年，Friedlander和Goldston给出了三个或多个素数的和的表法个数的渐近公式。
The defective renewal equation and the asymptotic formula of this joint distribution are also acquired for sufficiently large initial surplus.
对于充分大的初始盈余，得到了此联合分布满足的瑕疵更新方程和渐近解。