渐近级数

The results show that to obtain an approximate value of the phase transition point, using the asymptotic series method not only can achieve high accuracy but also has the great advantage of fast computation.

结果表明：对于求相变点的近似值，采用渐近级数展开法不仅能达到很高的精度，同时还具有计算量小的突出优点。

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。

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。

It is shown that the leading term of interior asymptotic solutions is exactly the solution of Kirchhoff plate theory.

结果表明，内域解渐近级数的首项正是熟知的Kirchhoff板理论解。

Now by using Dai's exact solution formula and studying the asymptotical behavior controlcondition and using the series expression of the famous Riemann Zeta-function in number theory,after introducing and proving a new representation theory of inverse Laplace transformation wedirectly obtained Chen's solution formulae and their unique existence condition without usingLaplace transformation and〓 inverse formula.

本文从带消发散参数的严格解出发，通过研究渐近行为控制条件，利用数论中著名的Riemann-Zeta函数的级数表示，引入并证明一个逆Laplace变换的新的表示定理，直接导出了陈等发展的级数解，并得到了级数解的存在、唯一性条件。

Keywords asymptotic waveform evaluation;size dimension;Power/ground planar structure;impedance characteristics;adaptive sectional method;Laurent series expansion;broad-band asymptotic waveform evaluation;multi

渐近波形估计技术；尺寸维；电源/地平面结构；阻抗特性；自适应分段方法；洛朗级数展开；宽带渐近波形估计技术；多维渐近波形估计方法；自适应跳点技术；参数提取；电源完整性分析；参变分析

For the compressible materials, in order to satisfy the higher-order compatibility equation of the rate of deformation in the centered fan sector, which is a quite difficult problem unresolved in the previous studies, a particular term must be added to the expansions of the stress components in the regular logarithmic power series adopted by many researchers before. A higher-order near tip field with tangential velocity jump ahead of the crack tip is derived first, of which the dominant terms are the solution widely accepted.

对可压缩材料，本文首先采用非规则的对数幂级数渐近展开方法，克服了过去研究中存在的中心扇形区变形率协调方程的高次渐近式不能被满足的困难，并得到了一个切向速度在裂尖前方存在间断的高阶渐近解，该解的主项就是目前被广泛接受的关于可压缩材料的尖端场解。

The detailed comparisons between the higher—order near tip solution and the well—known modified Prandtl field are also given in this paper.For the compressible materials, in order to satisfy the higher-order compatibility equation of the rate of deformation in the centered fan sector, which is a quite difficult problem unresolved in the previous studies, a particular term must be added to the expansions of the stress components in the regular logarithmic power series adopted by many researchers before. A higher-order near tip field with tangential velocity jump ahead of the crack tip is derived first, of which the dominant terms are the solution widely accepted.

对可压缩材料，本文首先采用非规则的对数幂级数渐近展开方法，克服了过去研究中存在的中心扇形区变形率协调方程的高次渐近式不能被满足的困难，并得到了一个切向速度在裂尖前方存在间断的高阶渐近解，该解的主项就是目前被广泛接受的关于可压缩材料的尖端场解。

If you are unfortunate enough to the lovelorn, please tell me, I will help you out, really, please contact me!

如果你不幸失恋了，请告诉我，我会帮助你摆脱困境，真的，请联系我啦！

China's plan to cut energy intensity by 20 percent and pollutant discharges by 10 percent between 2006 and 2010 is a case in point.

中国计划在2006年到2010间降低20%的能源强度和减少10%的主要污染物排放，就是一个这样的例子。