球面函数

In chapter 1, we introduce the definitions of area integral S_β and invariant g-function on unit sphere, and study their boundedness on BMO and non-isotropic Lipschitz spaces.

共分三章，第一章引进了C~n单位球面上的面积积分和不变g函数，研究它们在BMO空间以及non-isotropic Lipschitz空间上的有界性问题。

The formula group for the design of multi-phase micro Fresnel lens according to scalar diffraction theory was given and the transmission theory of spherical wave were used to deduce the relation of focal distance of the micro lens with spectrum resolution. According to the relation spectrum resolution is inverse proportional to focal distance given a certain incident wavelength and phase number, and the theoretic formula is consistent with reported experimental result.

光谱分辨率是评价衍射微透镜分光特性的主要指标，根据标量衍射理论，给出了多台阶位相型菲涅尔透镜的设计公式，并利用球面波的传输理论推导了微透镜主焦距与光谱分辨率之间的函数关系，得出在入射波长和位相台阶数一定的情况下，光谱分辨率与中心焦距之间呈反比；理论推导的结果与已发表的实验结果一致。

Main attention is paid on the third part; in this part several kinds of method to physical geodesy regularization problem are discussed, which are Tikhonov regularization, truncated singular value decomposition, biased estimation and least squares collocation.

在经典小波变换的基础上引入了球面小波概念，证明了Possion积分核是小波尺度函数，在尺度离散基础上证明了球外重力场处于一个多尺度空间。

At a value of zero there is no effect, while at a value of 1.0 it is a spherical projection of the noise function, creating a starburst effect.

零值没有效果，当值为1.0的时候它变成一个杂色函数的球面投影，创建一个星爆炸效果。

Spherical Rossby wave ; spectrum function ; wave envelopes ; structure ; evolvement

球面Rossby波；谱函数；波包；结构；演变

A 3-D face model is constructed by the imaging theory and spherical harmonics, combining with the principle of 3-D projection and PCA.

根据3-D数据的优势，利用图像成像原理和球面调和函数理论，结合3-D投影原理和PCA技术建立了一个3-D人脸模型。

Expanding the modification model in vector spherical harmonics, we obtained the absorption and scattering coefficients of the beam wave case.

将所得的修正解按矢量球面波函数展开，就球形粒子对束状波的消光系数进行推演和计算，并与平面波Mei理论和国外的实验结果进行比较，验证了修正解的正确性。

To realize the realistic rendering of the scene in applying environment mapping to VR systems, an approach to fast calculating diffuse environment maps was proposed starting from the analysis of spherical harmonics.

为了把环境贴图应用于VR系统中，实现场景对象的真实感绘制，首先从分析球面调和函数入手，提出了漫反射环境纹理图的快速计算方法。

Superior at approximating high frequency lighting than spherical harmonics function,wavelets have been increasingly adopted in PRT based global light rendering algorithm.

由于小波相比球面谐波函数能够更好地表现许多高频光照细节，哈尔小波被越来越多地被应用在许多基于PRT的全局光照渲染算法中。

In this paper we investigate the researching state, the developing situation and the prospect for the summability , the strong summability and their relevant approximating oder , strong approximating oder of Cesdro mean - an important linear summation process of the Fourier - Laplace series of functions on sphere.

本文研究了球面上的函数用其Fourier—Laplace级数的一种重要的线性求和法-Cesaro平均来求和与强求和及其相应的逼近与强逼近的阶的研究状况、发展态势和前景展望等。

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。