级数

Math a progression of terms whose reciprocals form an arithmetic progression.

其倒数构成一个等差级数的级数术语。

The dynamic process of the aero engine was described by using the Volterra progression model. And identification arithmetic of the Volterra progression model for aero engines was proposed. It was applied to a certain turbofan engine by imitating the dynamic respondence.

利用Volterra级数对航空发动机的动态过程进行描述，建立非线性模型，提出了模型的辨识算法利用某型涡扇发动机的动态仿真，进行了发动机Volterra模型辨识及验证。

Smarandache function ; Asymptotic formula ; Equation ; Positive integer solutions ; Infinity series

Smarandache函数；渐近公式；方程；正整数解；无穷级数

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。

Expanding the unknown function in a small perturbation parameter and using a successive expansion in a Taylor series for the water particle path and the period of a particle motion, the third order asymptotic expressions for the Lagrangian particle trajectories and the period of particle motion can be derived directly in Lagrangian form.

藉由一系列连续的Taylor级数展开，於考量波动场中各流体质点之运动轨迹与运动周期下，将已知的Eulerian解转换成完全未知的Lagrangian形式解。

Asymptotic series method plays an important role in applied mathematics.

渐近级数展开法是应用数学中的一个重要方法。

Another problem that mathematicians tackled from about 1880 on is essentially the converse of finding asymptotic series .

大概从1880年开始，数学家们研究的另一个问题本质上是求渐近级数的反问题。

Secondly, the asymptotic series are used to evaluate the density function of heavy-tailed Rayleigh distribution, and an efficient three-step method is proposed using the interpolating polynomial fit.

其次， 本文使用渐近级数计算拖尾Rayleigh分布的概率密度函数，基于插值多项式拟合，提出了高效计算密度函数的三步方法。

By calculating the LST and asymptotic series of the service-time distribution we analyze the steady-state waiting-time probabilities of M/G/1 queue system. We also extend the special caseγ=3/2 to the normal case. The results show that it will be helpful to analyze the heavy-tailed waiting-time distribution of self-similar traffic sources. This chapter also proposes a generalized packets loss method.

本章第一部分通过引入一类混合指数分布并证明此类分布服从Pareto重尾分布，得到相应的LST变换闭合形式及服务时间渐进级数，同时将形状参数γ=3/2时的服务时间及其LST变换推广到更一般的情形，较为有效地解决了重尾分布的信源排队等待时间分析问题。

An asymptotic series solution is constructed by the perturbation technique of deflection type for postbuckling behavior of the plates with four simply supported edges in biaxial compression.

基於Reissner剪切板理论和Karman型板的精化理论，导出了反对称斜交铺层剪切矩形板的广义Karman大挠度方程，并运用位移型摄动技术，构造出双向压缩四边简支矩形板的后屈曲渐近级数解。

And Pharaoh spoke to Joseph, saying, Your father and your brothers have come to you.

47：5 法老对约瑟说，你父亲和你弟兄们到你这里来了。

Additionally, the approximate flattening of surface strip using lines linking midpoints on perpendicular lines between geodesic curves and the unconditional extreme value method are discussed.

提出了用测地线方程、曲面上两点间短程线来计算膜结构曲面测地线的方法，同时，采用测地线间垂线的中点连线和用无约束极值法进行空间条状曲面近似展开的分析。