查询词典 expansion in series

A general solution and the stress intensity factor are obtained in term of series expansion.

结果表明，在外加剪切荷载的作用下，应力强度因子与外加电场无关。

Our factory is well known for its simple design, unique practical function ,advanced human engineering technology, natural and super quality materials, and harmonic production of various series office furniture It has introduced advanced mechanical equipment from foreign country and hired a team of our with the changing world and the constant development and expansion of our factory in the fierce market competition.

本厂素以设计清雅，独特实用的功能著称，除运用先进的人体工程学科技，采用自然体质材料，谐和地制造各种不同系列的办公家具之外，同时引进外国先进机械设备，拥有一批高质数管理生产技术人才，从而确保本厂与日新月异的世界同步，在激烈的市场中得以不断发展壮大，我们用心做好每一件产品来回报广大的新老客户。

Firstly, the function sinx that appears in the simple pendulum equation is replaced with a polynomial of degree 3 using Maclaurin series expansion and Chebyshev polynomial approximation. Subsequently, the resulting equation which is a Duffing type equation is approximately solved with combing Newton's method and the harmonic balance method.

首先，利用Maclaurin展开和Chebyshev多项式加速技术将单摆振动方程中的正弦型恢复力用三次多项式近似代替，得到一个Duffing型方程；然后，将牛顿法与谐波平衡法结合起来建立Duffing方程的解析逼近周期及周期解，从而给出单摆振动的解析逼近解。

Three different numerical iterative algorithms are developed and the accuracy and stabilities of them are compared. Tension and compression instabilities are studied and effects of Conservative Smoothing Approach and artificial viscosity on stabilities are discussed. Based on Taylor series expansion, Modified SPH method is proposed. The discrete forms of the function and its first derivative estimations of the kernel function are deduced in both one and two dimensional space.

讨论了三种不同的数值迭代算法对计算精度和稳定性的影响；分析了不稳定性产生的根源，包括拉伸不稳定和压缩不稳定，探讨了保守光滑算法和人为粘性对稳定性的影响；在Taylor展开的基础上提出了一种修正的SPH方法，并推导一维和二维情形下函数的核估计和函数的一阶导数核估计的离散形式，结果表明，二维情形下MSPH方法可以很好的改善边界粒子的计算精度。

The application of statistical methods in operational forecasts, synoptic climatology , multivariate analysis, time series, orthogonal expansion, statistical dynamic prediction and nonlinear dynamics are covered.

内容涉及统计学方法在业务预报中的应用，天气气候学研究，多元分析，时间序列，正交展开，统计动力预报，非线性动力学等诸多方面。

All is done in the mapping plane about the developed plane of acylindrical shell.Furthermore,applied orthogonal function expansion technique,the problem can be finally summarized into the solution of a series of infinitealgebraic equations.

在第四章中，在保角映射平面上给出了大开孔圆柱壳在外部载荷作用下，广义内力、边界条件以及孔边应力集中系数的一般表达式。

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。

A truncated Volterra series expansion, whose polynomial number can be determined by error criteria, was used to model the biomedical signal component. Based on Volterra we proposed an adaptive filter that could approximate and extract the signal in noise corrupted ECG data efficiently.

利用误差准则确定的Volterra序列展开能很好模拟生物信号成份，而基于Volterra序列的自适应滤波器能有效模拟ECG成份从而达到去除信号中噪声的目的。

The other is the power series expansion method developed in this paper.

应用这种方法，可以避免常用的pagano方法求解动态问题所遇到的困难，使求解变得简便，适用范围更广。

In the present paper, the basic formulas based on power series expansion for manipulation of harmonic data are derired.

本文讨论了通过幂级数展开处理谐波数据的基本关系式。

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。