级数展开

Based on the basic elastic equations and series expansion, the paper presents the general solution of antiplane interface end.

利用位移函数的级数展开，对任意角度的反平面问题界面端的应力场进行了分析研究，得到了全场解。

In this paper,in consideration of air medium inside the hole defects acting on the electric field, a coupled field of antiplane strain problem for the piezoelectric material with an elliptic hole is analyzed with an expression for potential function of complex veriable in Faber series.

考虑椭圆孔内空气介质对电场的作用，用复变函数的Faber级数展开方法，分析了含椭圆孔的压电材料反平面应变问题的耦合场，给出了问题的精确解。

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。

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。

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。

By use of the series representation of the Bessel function of the first kind and zero order, the approximate expression of the wave structure function under all conditions of atmospheric turbulence is derived.

由第一类零阶贝塞尔函数的级数展开推导出波结构函数在任意湍流条件下的近似表达式。

In this paper, using the concept of the contact angle and considering the capillarity action, the method of small-time expansions is developed to solve accurately nonlinear wave due to the horizental of the plate towards the fluild with an acceleration.

采用对时间t作幂级数展开的方法，利用接触角的概念，并考虑了表面张力的作用，对垂直平板在静止的液体中突然起动所产生的非线性波进行了求解，得到了速度势函数、压强及自由面形状的解析表达式，并对一种特例计算了作用在平板上的动水压强。

For example, 2-order Taylor central finite difference is adopted in Yee format and 4-order in Fang format.

而Taylor级数展开定理是构造差分格式的一种重要方法，例如Yee格式采用二阶Tabor格式，Fang格式采用四阶Taylor格式。

The gray digital images can be regarded as matrixes with the integer data type. In each row of matrix, the integer data sequence can be represented by the Fourier series expansion and it can be regarded as the initial condition of the diffusion equation.

灰阶数位影像可以视为矩阵的整数资料型态，我们利用傅立叶级数，将矩阵中每一列的整数资料以傅立叶级数展开，当作扩散方程式的起始条件。

In order to solve the problem of chart projection transformation among all projections in shiphandling simulator,using the theory of power series spreading out and the method of trigonometric power series calculating back, a direct and reverse solving algorithm models of meridian arc length , and Gauss projection and Mercator projection transforming algorithm are introduced in this paper.

为了解决船舶操纵模拟器中不同投影方式海图的投影变换问题，应用幂级数展开理论和三角级数回求方法，给出了子午线弧长、等量纬度的直接正反解算法模型及高斯投影与墨卡托投影的相互转化算法。这些算法具有非常高的计算精度，避免了迭代运算，在船舶操纵模拟器中得到广泛应

However, as the name（read－only memory）implies, CD disks cannot be written onorchanged in any way.

然而，正如其名字所指出的那样，CD盘不能写，也不能用任何方式改变其内容。

Galvanizes steel pallet is mainly export which suits standard packing of European Union, the North America. galvanizes steel pallet is suitable to heavy rack. Pallet surface can design plate type, corrugated and the gap form, satisfies the different requirements.

镀锌钢托盘多用于出口，替代木托盘，免薰蒸，符合欧盟、北美各国对出口货物包装材料的法令要求；喷涂钢托盘适用于重载上货架之用，托盘表面根据需要制作成平板状、波纹状及间隔形式，满足不同的使用要求。