结果给出两个新的数论函数均值的渐近公式。
Results Two new asymptotic formulae on their mean value are given.
给出了一类同余方程组解数的公式或渐近公式。
This paper has investigated the system of congruences and given them the asymptotic formula of the number of solutions.
本文的主要目的是研究均值的渐近性质，并给出一个较强的渐近公式。
The main purpose of this paper is to study the asymptotic properties of the third power mean and give a sharper asymptotic formula for it.
研究一个关于n原根的数论函数的渐近性质，给出了一个较为精确的渐近公式。
In this paper, we have studied the asymptotic formula of a number theoretic function about the primitive roots modulo n, and given a more precise asymptotic formula.
本文的主要目的是研究有关因子积序列和平方剩余的渐近性质，得到有关这两个序列的渐近公式。
The main purpose of this paper is to study the asymptotic property about the divisor product and the square residues, and to obtain some interesting asymptotic formulas.
在通过对任一正整数提出另外一种唯一分解式的基础上，利用初等方法得到了关于立方补数的几个有趣的渐近公式。
On the basis of requesting another factorization of an integer in only one way, two interesting asymptotic formulas on cub complements are obtained through the elementary method.
基于中间点的渐近性质，获得了数值积分的校正公式及其条件误差估计。
Then Based on the asymptotic properties of the intermediate point, corrective formulas of numerical integral and its conditional errors are obtained.
给出了利用渐近解公式，由模有效折射率的测量值确定波导表面折射率和扩散深度的方法。
A method is given for determining the parameters of a diffused waveguide from the observable values of mode efficient index by using the asymptotic solution equations.
为此先推导离散格林函数的权模估计和有限元解的渐近不等式展开，然后给出公式的证明。
For this, we derive the weighted estimates for discreet Green function and the asymptotic error expansion inequalities, and then the proofs of the formulas are given.
本文首先证明了R—S积分中值公式，并利用辅助函数进一步讨论了其“中间点”的渐近性。
This paper firstly proves R-S mean value formula for integral, and USES the supplementary function for further discussing the asymptotic property of the "intermediate point".
该文给出了一些数值求积公式的渐近性质，这些公式包括求积分的矩形法则、梯形法则和抛物线法则。
This paper gives asymptotic properties of some numerical integral formulas, these formulas include rectangle rule, trapezoid rule and parabolic rule.
方法运用统计量的分布理论和近似计算方法 ，求出公式中所涉及统计量的渐近分布。
Methods In this paper, the authors provided the asymptotic distribution about the statistic in the formulas by using the theories of distribution and the methods of approximative calculation.
利用极限理论，给出了复函数积分中值公式的“中值点”的渐近性的简洁证明。
By using the limit theory, we discuss and prove the asymptotic properties of mean point in integral mean value formula for a complex function.
利用泰勒公式，给出中值定理“中值点”渐近性质的一个定量刻画。
Using the Taylor formula, gives the theorem of mean "the value point" an approach nature quota portray.
利用极限理论，给出了复函数微分中值公式的“中值点”的渐近性的简洁证明。
By using the limit theory, we discuss and prove the asymptotic properties of mean value point in differential mean value formula for a complex function.
给出了当输入信号为等概率的四进制脉冲幅值调制（PAM）时，系统输出理论渐近误码率计算公式。
Furthermore, the expression of stationary bit error rate of system output corresponding to equiprobability quaternary pulse amplitude modulation (PAM) input signals was deduced.
给出其支撑树数的一个公式，并得到其渐近性态和常数系数的线性递归关系。
A formula for the number of their spanning trees was given, Furthermore its asymptotic behaviors were considered and the linear recurrence relations with constant coefficients were also obtained.
对积分中值定理中间点的渐近性进行研究，给出了推广的积分第一中值定理的中间点的渐近性的一个公式。
This paper presents a generalization of mean value theorem for integrals and discusses the asymptotic properties of mean value of mean value theorem for integral.
讨论多阶段抽样比率估计及其样本量选择的问题，给出了比率估计抽样均方误差的近似公式及其渐近无偏估计的公式。
We give the approximation formulas of the variance of the sample ratio estimator for a population mean and its asymptotically non-biased estimator in multi-stage sampling.
讨论多阶段抽样比率估计及其样本量选择的问题，给出了比率估计抽样均方误差的近似公式及其渐近无偏估计的公式。
We give the approximation formulas of the variance of the sample ratio estimator for a population mean and its asymptotically non-biased estimator in multi-stage sampling.
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