查询词典 spherical bessel function

Analytical expressions for electromagnetic fields of a vertical or horizontal electric dipole over the finitely conducting plane are derived subject to the boundary conditions; Sommerfeld type integral contained in Hertz potential is expressed as the sum of two parts: zeroth order Hankel function and an absolutely convergent series of spherical Hankel function.

在此边界条件下，推导出有限导电平面上垂直和水平电偶极子电磁场的解析表达式；赫芝位函数中的索末菲型积分被表达成零阶汉克尔函数与绝对收敛的球汉克尔函数级数之和的形式。

In the case of 16 boundaries, cubic B-spline function taken as trial function, the solutions to nonlinear stability of truncated conical shells and spherical shells with variable thickness were obtained by the method of point collocation.

在16种边界条件下，以三次B样条函数为试函数，用配点法计算变厚度开顶圆锥壳和球壳的非线性稳定。

Then, combined with spherical-harmonic spread formula and Tscherning/Rapp experiential covariance function, a new covariance function estimation method is created, whose configuration capability is tested and analyzed.

第七章概括了本文研究的主要内容，结合似大地水准面精化的要求和本文研究内容，介绍了本文力求解决的关键问题，并简要阐述了似大地水准面精化的未来发展趋势。

Methods: Add different power spherical lenses on 32 volunteers with normal binocular function to induce simple myopia(+1D,+2D,+3D),simple hypermetropia(-1D,-2D,-3D) and anisometropia.Assess the visual acuity,stereocontrast sensitivity and Worth 4 dots fusional function after inducing the anisometropia.

对双眼视功能正常的大学生志愿者32人采用在单眼前加不同度数正负球镜的方法，诱导单纯近视性(+1D，+2D，+3D)及单纯远视性(-1D，-2D，-3D)屈光参差，测定诱导屈光参差后的视力、立体视敏度及Worth四点融像功能。

The convergence by use of ellipsoid function is more quickly than that by use of spherical functions as basic function.

提出了基于椭球函数适配的最小能量误差近似的声全息变换方法，解决了拉长体声源声场重建时，采用球函数适配近似收敛性差的问题。

A nonlinear mapping function based on spherical geometry model is used and nonlinear image magnify can be achieved by this mapping function in image transform.

利用球面几何模型得到了一种非线性的映射关系，并通过分析得到了该映射关系在图像变换中可以得到非线性放大的效果。

Based on the current continuity equation, using spherical harmonic function expansion, where lower boundary condition is the surface atmospheric electric potential, upper boundary condition is the electric potential of the bottom of the ionosphere, and non-homogeneous current source function of the vertical dipole assumptions is used for the charging of thunderstorms, the state analytical solution of global atmospheric electricity model in lower atmosphere is gotten.

本文从电流连续方程出发，采用球谐函数展开法，边界条件采用下边界为地表大气电势，上边界为电离层底部电势，非齐次电流源函数项采用垂直偶极子假设。

In spherical polar coordinates, DRSC potential have supersymmetry and shape invariance for θ and r coordinates. By using the method of supersymmetry and shape invariance, exact bound state solutions of Schrodinger equation with double ring-shaped Coulomb potential are presented. The normalized angular wave function expressed in terms of Jacobi polynomials and the normalized radial wave function expressed in terms of the Laguerre polynomials are presented. Energy spectrum equations are obtained.

本文研究了双环形Coulomb势Schrdinger方程的束缚态精确解，所采用的方法是首先对双环形Coulomb势的Schrdinger方程在球坐标系中进行分离变量，得到相应的角向方程和径向方程；证明双环形Coulomb势在角向和径向具有超对称性和形不变性；根据超对称性和形不变性的性质，获得了角动量量子化条件和束缚态的能谱方程，并将归一化角向波函数用Jacobi多项式表示，将归一化径向波函数用Laguerre多项式函数表示。

The fundamental and higher-order harmonic ultrasound fields of a zeroth-order Bessel ultrasound field and focused Gaussian field in absorbing medium are computed and simulated by solving the KZK equation using a frequency domain finite difference method.

通过频域有限差分方法求解KZK方程，对吸收媒质中的零阶Bessel超声场、Gauss聚焦超声场进行计算，得到基波和高次谐波声场的数值解和仿真图，计算仿真结果验证了上述的理论结论。

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。

When this condition occurs, inbound replication with the source partner is stopped on the destination domain controller and event ID 2042 is logged in the Directory Services event log.

计算机密码学是研究计算机信息加密、解密及其变换的科学，是数学和计算机的交义学科，也是一门新兴的学科。

Instructions: click on the thumbnails to see a larger image, then use the left-right arrow keys to scroll through the slideshow.

使用说明：滑鼠点在小图上即可放大观赏。开启后键盘左右键可用来换照片。