级数展开

Paraxial approximation absorption boundary condition based on acoustic wave equation can obtain better absorption results by increasing paraxial approximation order of Taylor series. However, this kind of operation will increase the complexity of difference computation, and result in instability of computation process.

基于声波波动方程的旁轴近似吸收边界条件可以通过提高泰勒级数展开的旁轴近似阶数获得更好的吸收效果，但这样不仅增加了差分计算的复杂性，同时还导致计算过程不稳定。

The orthogonal expansion of the solution of the rotating disk motion equation is analyzed, and the stability of the system that includes the controller and the dynamics of sensor and actuator are analyzed.

本文通过对旋转圆盘运动方程解的正交级数展开的分析，由此在考虑控制器、作动器和传感器的动态特性情况下，分析了旋转圆盘振动主动控制系统的稳定性，指出了系统失稳的条件。

The computer simulations show the validity of the new method. The orthogonal expansion of the solution of the rotating disk motion equation is analyzed, and the stability of the system that includes the controller and the dynamics of sensor and actuator are analyzed.

本文通过对旋转圆盘运动方程解的正交级数展开的分析，由此在考虑控制器﹑作动器和传感器的动态特性情况下，分析了旋转圆盘振动主动控制系统的稳定性，指出了系统失稳的条件。

In this thesis we propose an orthogonal polynomials adaptive filter and perform theoretical convergence analysis of residual echo power which proves its faster convergence rate owing to the reduced eigen spread of the input signal.

在传统上，多项式采用次方级数展开的形式；而在本篇论文中，为了提升非线性适应性滤波器的收敛速度我们使用正交多项式的非线性适应性滤波器。

The gamma function calculation of Pearson type III distribution is investigated,a new approximation method by using cone curve is put forward,and neither numerical integral nor series expansion may be used.

对皮尔逊Ⅲ型分布公式中伽玛函数的计算问题进行了研究，提出了一种新的数值逼近方法，在一定范围内对伽玛函数用圆锥曲线表示，利用递推公式扩大参数范围，免去了数值积分和用级数展开计算的麻烦。

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。

Limit, derivative, integral power series expansion, differential equation solving certain other.

求极限、导数、积分，幂级数展开，求解某些微分方程等。

Since β values are obtained by a power series expansion of electronicenergy or dipole moment in AM1-FF scheme, it does not provide us the insightinto the electronic origin of excited states to NLO responses.

由于在AM1-FF方案中，β是由能量或偶极矩对场强的级数展开而得到的，因此AM1-FF方法无法解释β的起源，以及激发态对β的贡献。

The standard cell potential of each condition and the activity coefficients of KI in the mixed solvent were obtained by associating the experimental values using power series expansion method, the extended Debye-Hückel equation and the Pitzer equation.

用电动势法测定了KI在甲醇含量为0%、20%、60%、100%的甲醉－水混合溶剂中的电动势，用幂级数展开方法、扩展的Debye-Hückel方程及Pitzer方程关联不同溶剂组成下电动势的实验值，得到电池的标准电动势Eo和KI在混合溶剂中的活度系数。

A Study on Fraunhofer Double-Slit Diffraction by Applying Simulation Technology;2. Based on Kirchhoffs theory,the approximate intensity formulas of double-slit diffraction of Gaussian Beam is derived under paraxial approximation with power series expansion methods.

依据基尔霍夫衍射理论，利用幂级数展开的方法推导出旁轴条件下高斯光束双缝衍射的近似光强计算公式，并通过数值计算对双缝衍射的基本特性进行了讨论，得出了与其他文献一致的结论，得出了高斯光束下的双缝衍射极小值点比平行光束双缝衍射的极小值点向外移，观察屏中心光能变小；光强分布可由激光斑在衍射屏处的参数调制的结论。

Since historical times,England ,where the early inhabitants were Celts, has been conquered three times .

从有历史以来，英国，在此地早期居住的是凯尔特人，已经被征服了三次。

Bluetooth OBEX File Transfer Enables the sending and receiving of files on your phone via Bluetooth.

蓝牙OBEX文件移动允许经过蓝牙传送和接受文件。。。。