查询词典 Bessel functions

The potential functions of incident and scattered waves were expanded into Fourier-Bessel series, and the coefficients of scattering waves field were determined by imposing continuity conditions of stress and displacement at the soil-pile interfaces with the help of a set of cylindrical coordinate systems and in accordance with the Graff's addition theorem.

将倾斜入射波和散射坡的势函数展开成Fourier-Bessel函数的无穷级数的形式，利用一组圆柱坐标系统和Graff加法转换定理，通过施加桩土界面处的应力和位移连续的边界条件，求解出散射波势函数的待定系数，进而得到饱和土体中任意点的位移和应力。

Painting with a Bessel function matlab graphics, deepen their understanding of Bessel functions.

详细说明：用matlab绘画出贝塞尔函数图形，加深对贝塞尔函数的认识。

In chapter 3, the author considers that approximate value of Bessel fuctions and transcendental equations are main ob stacle to realize computer simulation for isolated well principle. The character of Bessel functions are studied, new approximate values of Bessel function are set forth.

第3章中，针对"割离井法"微机实现的难点——贝塞尔函数的渐近计算和超越方程的合理求解，研究了贝塞尔函数的性质，提出了新的贝塞尔函数的渐近式，并采用ZEROIN法完成了超越方程的求解，最后编制出新的"割离井法"计算程序。

Based on wave function expansion method, the potential functions of scattered waves are expanded into Fourier-Bessel series; and a set of cylindrical coordinate systems is utilized in such a way that it allows to solve the problem of multiple scattering; the solution is determined by imposing continuity and equilibrium conditions at the soil-pile interfaces.

采用波函数展开法，将散射波的势函数展开成Fourier-Bessel级数的形式，利用一组可以求解多散射问题的圆柱坐标系统和桩土界面处位移连续的条件，以及刚性桩的动力平衡条件，得到问题的理论解。

In the fiber cladding and core, the optical fields are represented by the sum of the Bessel and modified Bessel functions, respectively. In the polymer and metal, the optical fields are written to the sum of the exponential functions.

针对热极化光纤的特点，本论文完成了以下理论分析和实验工作： 1、首次利用圆波导模型和标量近似理论对具有复杂几何结构的极化D型光纤的传输特性进行了理论分析。

The double integration can be simplified to standard Bessel integration through the relation of Bessel functions.

利用贝塞尔函数的性质可将该二重积分化为标准的贝塞尔积分，然后采用直接数值积分的方法计算该积分。

In chapter 3, the author considers that approximate value of Bessel fuctions and transcendental equations are main ob stacle to realize computer simulation for isolated well principle. The character of Bessel functions are studied, new approximate values of Bessel function are set forth.

第3章中，针对&割离井法&微机实现的难点——贝塞尔函数的渐近计算和超越方程的合理求解，研究了贝塞尔函数的性质，提出了新的贝塞尔函数的渐近式，并采用ZEROIN法完成了超越方程的求解，最后编制出新的&割离井法&计算程序。

The spontaneous emission spectrum of a novel wiggler with its magnetostatic-fiele indepen dent of the axialcoordinate is calculated by means of generalized Bessel functions,and the re sult is analysed.

利用广义Bessel函数计算出了ShlomoPinhas提出的磁场与纵向坐标无关的摆动器的自发辐射谱，并对结果进行了分析。

The mathematical method for calculating the infinite oscillating integration with complex argument modified Bessel functions is discussed. The borehole correction charts of the coils with metal mandrel are given.

给出了含复宗量变型Bessel函数无穷限振荡积分的数值计算方法和含金属心棒线圈系的井眼校正图版。

Through the Laplace and Z transformations, it represents the varying features of electromechanical disturbance in a uniform chain network using the family of Bessel functions; the growing or attenuating laws are the same as that of electromechanical wave in a continuum model along the corresponding transmission media. Furthermore, the time of electromechanical disturbance arriving at any bus in the discrete model is also the same as that of electromechanical wave arriving at the corresponding bus in the continuum model.

通过Laplace和Z联合变换，用Bessel函数表示出机电扰动在均匀离散系统中的变化特征，得出扰动的增衰规律与连续体模型中机电波的增衰规律完全相同，而且离散系统中扰动传播到每一条母线所需要的时间与连续体模型中机电波传播到相应母线所需时间也完全相等。

Breath, muscle contraction of the buttocks; arch body, as far as possible to hold his head, right leg straight towards the ceiling (peg-leg knee in order to avoid muscle tension).

呼气，收缩臀部肌肉；拱起身体，尽量抬起头来，右腿伸直朝向天花板（膝微屈，以避免肌肉紧张）。

The cost of moving grain food products was unchanged from May, but year over year are up 8%.

粮食产品的运输费用与5月份相比没有变化，但却比去年同期高8％。