球面函数

This paper investigates the absolute convergence of the Fourier Laplace series concerning of some smooth functions defined on the unit sphere in R n,hereinto shows that:if f is 2([n4]+1) th continuously differentiable function on H r P,then the series ∑∞k=0Y kf converges uniformly to f.

讨论了n 维球面上某些可微函数类的Fourier Laplace级数的绝对收敛性，其中指出：设f是Hrp上 2 ( [n4 ]+1)次连续可微函数，则级数∑∞k =0 Ykf一致收敛到f参

Firstly, according to the Laplace equation of ellipsoidal coordinates and the ellipsoidal harmonic functions in common use, the ellipsoidal series expansion of harmonic functions outside the referential ellipsoidal is introduced.

论文首先从椭球坐标的Laplace方程和常用的椭球谐函数出发，介绍了参考椭球面外调和函数的椭球谐级数展开。

Two novel spherical helical antennas can be designed by projecting the planar equiangular spiral antenna onto the surfaces of hemisphere and partial sphere. Their radiation properties are analyzed by the moment method with curved basic and testing function, and the curves of the VSWR, gain, polarization and pattern vs.

将平面等角螺旋天线投影到半球面和部分球面上，可得到两种新型球面螺旋天线，采用基于曲线基函数的矩量法对其辐射特性进行了分析，给出了天线的驻波、增益、极化及方向图等随频率变化的曲线。

It is shown that the form of average intensity is not a Gaussian function but a polynomial of the power of the binomial function, Gaussian function, and the incomplete gamma function.

结果同时表明，斜程湍流大气传输的有限光束光强不仅是发射光束半径、传输距离和球面波长期平均相干长度的函数，同时也是发射孔半径的函数。

As a kind of orthogonal polynomials system,orthogonal spline function has many good properties such as orthogonality and locality.

作为一种正交多项式函数系，正交样条函数结合球面调和函数所定义的矩具有正交性等优良性质。

In this paper, we study the problems of the kernel regression estimator with spherical data, the estimators of multivariate densit...

本文主要研究了球面数据回归函数核估计以及多维密度函数估计和多维回归函数估计问题。

In section 2.7, according to the complex expression of the horizontal gradient of spherical harmonic, the spherical orthogonal function family needed for the description of the earth's gravity potential up to 2 degree horizontal gradients is defined and proved directly.

在§2.7中，直接由体球谐函数水平梯度的复表示定义并证明了描述地球引力位直到二阶水平梯度所需的球面正交函数系。

There are statistical functions as well as advanced mathematical functions like spherical harmonics.

例如，这里有许多统计函数，比方说高等数学里的球面低函数。

Using the properties of the harmonic function and the theories of the expansion of the spherical harmonics,the equivalence between Moritz analytical continuation and Bjerhammar s virtual spherical solution is proved according to the power series expanded form of the real number field function,the differences in meaning between the two solutions are analyzed.

利用调和函数的性质以及球谐函数展开理论，并根据实数域上函数的幂级数展开式证明了Moritz解析延拓解与Bjerhammar虚拟球面解的等价性，同时分析了两种解的内在区别。

More importantly, we propose a data-dependent parameterization method in which optimal parameterization in the lighting and viewing space that minimizes the modeling error is obtained.

我们使用了多变量的球面迳向基底函数核心当作我们双向贴图函数模型的核心并且使用了资料相关的重新参数化方法得到在光源及视点空间的最佳参数以增进我们双向贴图函数模型的近似度。

With Death guitarist Schuldiner adopting vocal duties, the band made a major impact on the scene.

随着死亡的吉他手Schuldiner接受主唱的职务，乐队在现实中树立了重要的影响。

But he could still end up breakfasting on Swiss-government issue muesli because all six are accused of nicking around 45 million pounds they should have paid to FIFA.

不过他最后仍有可能沦为瑞士政府&议事餐桌&上的一道早餐，因为这所有六个人都被指控把本应支付给国际足联的大约4500万英镑骗了个精光。