本文给出了位移矢量的矢量球函数表达及其有关的公式。
In this paper main work involves some expressions of displacement vector and some formulae concerned by vector spherical function.
这些因变量展开为球函数的级数形式并在15处作菱形截断。
The dependent variables are expanded in series of spherical harmonics truncated rhomboidally at wavenumber 15.
本文对球函数方程进行了求解，并将球函数方程的解合理地应用于角动量平方算符的本征值问题中。
The solution of spherical function is given in the paper, and it is applied reasonably in the problem of eigenvalue of angular momentum square operator.
探讨了由球函数模型计算中国近海海面地形的理论和方法，并对不同方法进行了比较，得出了一些有益的结论。
And finally, the theory and method of computing the SST of Chinese coastal water are investigated using spheric harmonic model. With the comparisons of the different methods, some us...
同时还研究了在球坐标系下弹性应变张量与复数矢量球函数的一些关系，为地球弹性动力学方程的解算提供参考。
The solution of the Earth elastic dynamical equations can be also referred to some relations of complex vector spherical harmonic functions to the elastic strain tensor in spherical coordinates.
本文用球函数展开散射场，结合刚性边界条件导出了刚性目标的重构公式，并利用该公式重构了刚性球和椭球的形状。
By spherical function expansion of the scattered sound field in conjunction with rigid boundary conditions, formulas for reconstructing the shapes of rigid scattering objects are derived.
把波函数画成一个圆是有道理的，因为我们知道1s轨道是球对称的。
It makes sense to draw the wave function as a circle, because we do know that 1 s orbitals are spherically symmetric.
同时，球谐函数法的射线效应随光学厚度的增加而减小。
In addition, the ray effect in the spherical harmonics approximation mitigates with increasing optical thickness within gray medium.
为分析球壳体导热系统的动态导热特性，推导了其导热传递函数的表达式。
To study the dynamic heat conduction characters, the heat conduction transfer functions of the global shell heat conduction system were studied.
利用球矢量波函数的定义及性质，提取出场的径向分量，将初级场分解为相对于径向的TE波和TM波，避免了复杂的矢量微分运算。
Using the definition and character of vector function, the field is separated to TM wave and TE wave relative tor without complex vector-differential operation.
为便于计算，给出了复宗量的球贝塞尔函数的计算方法。
Making convenience of computation, the calculation method of the spherical Bessel functions for complex arguments is presented.
这两部分采用相同的垂直结构和物理过程，都用球谐函数作为水平基本函数。
The two components have identical vertical structure and physical process. The global spectral model component uses spherical harmonics as horizontal basis functions.
在不同的边界条件下对球壳体导热传递函数的具体表达式进行了讨论。
The specific expressions of the function were discussed respectively under different boundary conditions.
本文给出能量有限带限信号外推问题新的解析解，它比长球波函数展开法更为简单。
This paper proposes a novel method to obtain a simple analytical solution to extrapolation problem for band-limited signals, which is much easier than prolate spherical wave function expansion method.
给出了用位函数方法推导介质覆盖导电球上缝隙天线辐射场严格解的过程。
A novel method based on potential function theory is given in this paper to formulate the analytic solution of slot antenna on electrical sphere coated with dielectric layer.
基于瞬时变分原理与样条函数理论，建立扁球壳的动力方程。
Based on instantaneous potential energy principle and spline interpolate function, the dynamic equation of flat spherical shell is derived.
从结果来看，不同的静态球对称时空其径向方程因视界函数的不同而不同，而角向方程则具有相同的的形式。
The results show that, the radial equations in different spherical symmetric spacetime would be different for different horizon functions, while the angular equations are expressed in a same form.
针对大规模地形数据庞大、地形绘制速度慢的问题，提出一种基于分块和包围球误差函数的地形绘制方法。
To a large number of terrain data and the slow speed of terrain rendering, presenting a terrain method based on data block and ball error metric.
而且，球张量更能反映密度函数的角分布特性。
In addition, the spheric tensor illustrates better angular dependence of the density function.
为了演示智能移动机器人的性能，研制了一台打台球的机器人，并讨论了在球与球袋典型位置关系下的击球评价函数。
We designed a billiard robot for demonstrating the functions of an intelligent mobile robot, and discussed its batting evaluation function under typical positional relation between balls and pocket.
在变换后的球面域上用球谐函数来拟合速度函数，达到降低球谐系数阶数的目的。
Representing velocities by spherical harmonic expansion on the sphere after transformation can greatly reduce the number of spherical harmonic coefficients needed.
重力场球谐函数系数可以通过正则化方法由重力梯度算出。
The spherical harmonic coefficients of the gravity field can be obtained from gravity gradients through regularization scheme.
BP神经网络的系统误差修正方法的修正精度比球谐函数法提高约20%，有望用到球谐函数法不适用的三轴光电跟踪系统的系统误差修正中。
BP neural network system errors modifying method improves the precision than globe function method about 20% and may be used in three-axis photoelectric tracking system.
仿真结果表明换极后的球谐函数计算扰动引力能够满足精度要求，且在计算中弹道方程的解算速度也有很大的提高。
The result of simulation indicates that this method not only satisfies the precision but also enables us to enhance the calculation speed of the trajectory equations.
并以壳层的介电常量为幂函数为例，得到了梯度壳层介质球的等效介电常量。
As an example, the equivalent dielectric constant of inhomogeneous dielectric sphere, whose shell has power-law gradation profile is obtained.
为进行斜齿锥齿轮副的齿面接触分析，并直观显示齿面接触区，利用圆向量函数和球向量函数的矢量回转和坐标变换方法，建立了斜齿锥齿轮齿面接触分析的数学模型；
To analyze and display the contact of skew bevel involute gears, a mathematic model was established by vector gyration and coordinate transform of circle vector functions and sphere vector functions.
以幂函数为试函数，用配点法计算了夹层圆板和夹层扁球壳的非线性弯曲。
Taken power function as a trial function, nonlinear bending of circular sandwich plates and shallow spherical sandwich shells was discussed by means of point collocation.
文中运用了一种改进的球谐函数法，即换极法，大大简化了勒让德函数的递推计算，并进行了换极前后被动段扰动引力的仿真计算。
In this paper the improved method, also named transformation of the polar, is used to predigest the iterative calculation, and the simulation calculation has been progressed.
理论分析和实验结果表明，该方法比光度立体学、球谐函数方法具有较高的精度和较强的实用性。
Theoretical analysis and experimental results both show that our method has higher precision and better practicability compared with photometric stereo harmonic image method.
针对大规模地形数据庞大、绘制速度慢的问题，提出一种基于数据分块和包围球误差函数的地形绘制方法。
Aiming at the problem of large number of terrain data and low speed of terrain rendering, this paper presents a terrain rendering method based on data block and enclosing ball error metric.
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