查询词典 asymptotic expansion

We introduce the general sigma point selection framework, and give two kinds of efficient methods: a reducing the computing complexity by decreasing the number of the sigma point; b scaling the sigma points to influence the effects of the higher order moments, then improve the accuracy of the UT; c Convergence analysis of the UKF, when used as an observer for nonlinear deterministic discrete-time system, is presented. Based on the UKF that captures the posterior mean and covariance accurately to the second or third order term (in terms of Taylor series expansion) for any form of nonlinearity, sufficient conditions to ensure local asymptotic convergence are established.

论文介绍了sigma点的一般选取规则，并给出了两种有效的方法：a通过减少sigma点集合的元素的数目来减少计算复杂度，b通过增加参数来逼近泰勒展开的高阶项，从而提高UT变换的精度；c论文研究了UKF算法应用于非线性确定性离散时间系统时的收敛性问题。

The error analysis of asymptotic approximation of finite series expansion is also given. Our method avoids choosing the integral length of the reentrant comer, and can be used to calculate the charge on the conductor conveniently and efficiently. Numerical examples are presented to demonstrate the efficiency of the method.

本文算法克服了邓肯矫正需要选择角点积分区域的不足，有效地校正了导体角点奇异性引起的电容参数提取的计算误差，最后给出了算法的数值实验与分析结果。

The error analysis of asymptotic approximation of finite series expansion is also given. Ourmethod avoids choosing the integral length of the reentrant corner, and can be used tocalculate the charge of the conductor conveniently and efficiently.

该算法克服了邓肯矫正需要选择角点积分区域的不足，有效地校正了导体角点奇异性引起的电容参数提取的计算误差，且计算精度与稳定性都比较好。

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。

Under the appropriate assumptions, the asymptotic solutions of the problem with different forms are obtained according to the multiple number of the root of some equation, which is satisfied by the boundary value of the reduced problem, by giving the general expressions for the coefficients of outer solution expansion and the corresponding boundary conditions.

在适当的假设下，通过给出外部解展开式系数及其对应边界条件的一般表达式，根据退化问题的边值作为某方程的根的重数，得到了此问题不同形式的渐近解。

According to the result, the confidence region of unknown parameters in single-index models is constructed. Finally, we consider the test of correlation and heterogeneity for hierarchical nonlinear mixed-effects models. According to Laplace approximation expansion of integrated log-quasilikelihood, a class of score test statistics is proposed. Under some very mild conditions, we prove the asymptotic distribution of the test statistics is a standard X~2-distribution. Through a Monte Carlo simulation study, the finite sample performance is examined.

最后，我们研究的第四个问题是分层非线性随机混合效应模型的相关性与异方差性检验问题，依据对数拟积分似然的Laplace近似展开提出了检验统计量，在一些正则条件下，得到了检验统计量的渐近分布是一个标准的χ~2-(来源：d7d7A65BC论文网www.abclunwen.com)分布，通过Monte Carlo模拟研究了其小样本的表现，实例验证了其实际应用。

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

A convergence acceleration technique based on functional asymptotic expansion and Poisson's summation formula is developed to raise the calculation efficiency of waveguide dyadic Green's functions which are expanded in infinite series.

为此，作者提出"谱展开边界元法"，以求解波导外空间的并矢Green函数；引入边界元法以求解波导壁内折曲缝隙腔的并矢Green函数；并研究了无穷级数的逐级加速收敛变换，以解决波导中Green函数的计算问题。

In this paper, we first use the Taylor expansion to derive a simple formula to modify the asymptotic variance, and then study its performance by simulations.

在本文中，我们将对Gidas (1993)由Fisher information矩阵而得的近似变异数做简单修正，并使用模拟实验来检验其在二元马可夫随机域的果效。

In the second chapter, Asymptotic Boundary Conditions are derived and explained physically, according to the theory of multipole moment expansion.

第二章结合多极矩展开理论，针对轴对称电磁场问题，进行了渐近边界条件的推导及物理解释。

Neither the killing of Mr Zarqawi nor any breakthrough on the political front will stop the insurgency and the fratricidal murders in their tracks.

在对危险的南部地区访问时，他斥责什叶派民兵领导人对中央集权的挑衅行为。

In fact,I've got him on the satellite mobile right now.

实际上 我们已接通卫星可视电话了