In this paper,by using the theory of doubly quasi-periodic Riemann boundary value problemandseries expansion of complex variables,the problem of an infinite piezoelectric materials containing adoubly periodic parallelogrammic array of cylindrical inclusions under anti-plane line force andin-plane linecharge is studied.
利用双周期Riemann边值问题的解析函数理论和级数展开的分析方法,借助Eshelby夹杂原理研究了压电复合材料中双周期圆柱形夹杂的反平面问题,获得了夹杂和基体内电弹性场的复式表达式,并利用数值算例分析了双周期夹杂对应力和电位移的影响。
Energy density and particle density in high energy heavy-ion collisions are calculated with infinite series expansion method and Gauss-Laguerre formulas in numerical integration separately, and the results of these two methods are compared, the higher terms and linear terms in series expansion are also compared.
分别用无穷级数展开方法和数值积分计算中的高斯 拉盖尔求积法对高能重离子碰撞中能量密度和粒子密度数值进行计算 ,并对结果及级数展开中的高次项和一次项的大小进行了比较。
A new three-dimensional quasi-vectorial beam propagation method based on the series expansion (SE-QV-BPM) is proposed for simulating the optical rib waveguide and directional coupler based on InGaAs/InAlAs multiple quantum wells.
提出了一种基于级数展开的三维准矢量束传播法(SE_QV_BPM)用以分析由InGaAs/InAlAs多量子阱构成的脊形光波导及定向耦合器。
Based on the theory of modal superposition and power series expansion, a modal superposition method for the sensitivity analysis of FRF is proposed in this paper.
基于模态展开和幂级数展开原理，提出了一种频响函数灵敏度分析的模态展开法。
Based on the modal superposition and power series expansion when the considered eigenvectors lie in the middle frequency range,the high and low modal can be truncated at the same time.
特征值与特征向量灵敏度分析在振动控制、结构动力优化设计等邻域中有有着广泛的应用本文根据模态展开和幂级数展开原理，导出了一种可用于特征向量组灵敏度分析的幂级数展开法当所考察的特征向量组处于系统的低频区时，应用该方法可对系统中、高阶模态实施模态截断和加速；而当所考察的特征向量组处于系统的中频区时，应用该方法可对系统的高阶模态和低阶模态同时实施截断和加速数值示例计算表明，本文提出的方法是可行的
The method of the power series expansion for Abelian integral by Mathematica program is used to prove that there are two limit cycles with arbitrary location.
采用将Abel积分进行幂级数展开的方法,借助于Mathematica编程计算,证明了其Poincaré分支可以产生位置具有任意性的两个极限环。
Then by means of Taylor series expansion and interval calculation,we can obtain the interval ranges of stress intensity factors.
该方法以区间数学为基础,将不确定参数描述为区间变量;再利用Taylor级数展开通过区间运算得到应力强度因子的区间范围,从而为工程设计提供可信的数据。
Relying on truncated Taylor series expansion of triangular functions,this scheme constructs low-order polynomial to approximate the metric function after proper choice of expansion order.
该方法利用三角函数的Taylor级数展开,通过合理选取展开阶数对度量函数进行低阶函数逼近,并借助低阶多项式求根实现快速频偏估计。
In the situation that the rate of maneuvering acceleration variety(also named Jerk) is assumed to be an exponentially correlated random process with non-zero mean and the Taylor series expansion is performed on the components of state of the Jerk model,the modified differential equations of the components of state can be obtained,and the influence of the Jerk on the syste.
在假设机动加速度变化率(即加加速度)为非0均值指数相关随机过程的条件下,通过对Jerk模型状态分量作Taylor级数展开,得到了各状态分量的Jerk修正方程,使得机动加加速度对系统各状态分量的作用得到反映,减小了模型误差。
Making use of derivative rule of complex functions,how to compute a foot point latitude in ellipsoidal geodesy by Taylor expansion is described.
针对子午线弧长反解计算过于繁琐的问题,利用复合函数的求导法则,变换变量进行幂级数展开,给出了通项公式,利用Hermite插值原理推导了各参数,借助Mathematica计算机代数系统,得出了这些公式用偏心率e表示的幂级数表达式。
On the uniqueness of the expansion of Fourier series function;
函数Fourier级数展开式的惟一性
Three Types of the Fourier Series of the Function in Teachings;
函数的Fourier级数展开式的三种教学类型
FRFS Expansion and Its Characters Analysis
分数阶Fourier级数展开及相关性质研究
The Calculation of Direct Current Item in Fourier Series Expression
傅立叶级数展开式直流项的计算问题
FrFS Expansion of Time Finite Signals and Convergence Analyses
时域有限信号的分数阶Fourier级数展开与收敛分析
Debye Series Expansion of Plane Wave Scattering by Homogeneous Spheroidal Particles;
均匀椭球粒子对平面波散射的Debye级数展开
Debye Series Expansion of Electromagnetic Scattering by Inhomogeneous Particles and Its Applications;
非均匀粒子电磁散射Debye级数展开及应用
Use Differential Equation to Extract Power SeriesUrfolding Pattern of Binomial (1+x)α;
用微分方程求二项式(1+x)~α的幂级数展开式
Study on Series Expansion by Some Orthogonal Polynomials
关于按一些正交多项式级数展开的研究
Taylor-series expansion location algorithm based on RBF neural network
基于RBF神经网络的泰勒级数展开定位算法
To count the infinite integral of continus integral calculus used expansion in Fourier series;
利用Fourier级数展开式计算一个连续无界函数的无穷积分
Application of Computerized Quota Work -A Mathematical Model of Quota with Taylor s Series;
定额电算化的应用一例——应用泰勒级数展开建立时间定额数学模型
Discussion on Non-periodic Function Carried out by Fourier Series when Calculating Power
关于求解功率问题时非周期函数用傅立叶级数展开的探讨
Algorithm to identify image centroid and angle motion based on Taylor series expansion
基于泰勒级数展开的图像质心和角度偏移识别算法
Improved Series Expand Method for Dynamics System Response under Medium and High Frequency Excitations
一种中高频激励下动力系统响应的级数展开改进算法
Studying Path Intergration Short-time Propgator of the Periodic Damp Harmonic Oscillator by Power Series Expansion Method
幂级数展开法计算周期阻尼振子路径积分短时传播子
A Cooperative Locating Algorithm Based on Least Square and Taylor Series Algorithm
一种基于最小二乘法和Taylor级数展开法的协同定位算法
A Taylor series expansion of the transfer function yields the number of paths of a given length between the source and the destination.
传输方程的泰勒级数展开可显示信源和终点间所存在的给定长度的路径数。