球面函数

Based on the three dimensional surface data of the face and skull, methods of geometric analysis on them are presented through these parameters with their numerical calculating methods under the landmarks of the anthropologist and anthropometrist are proposed,which is the foundation of the statistical model that will be used in the field; 4Geometric analysis methods that based on the approximation coefficients of spherical harmonic functions are proposed.

以三维面皮和颅骨数据为基础，分别给出了基于公安法医学标志点和人体测量学标志点的几何分析主要途径和方法，确定了几何分析的主要参量，并给出了相关的计算方法，为建立颅面统计模型奠定基础； 4基于球面调和函数的颅面形态学的几何分析方法。

A novel approach of binary component discriminant function is proposed by generalizing the original quadratic-form distance metric.

针对现有基于核函数的相关反馈方法处理样本不对称性时的缺陷，提出了基于超球面的支持向量分类方法。

Secondly the structure error equation was analyzed by using the numerical interpolation approach and giving the initial solution of the optimization model.

利用球面四杆机构函数综合的封闭形式解，通过引入比例系数，推导了结构偏差的方程式，并构造了精确点选择的优化数学模型。

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。

The author points out that the combination of horizontal observable should be used in the form of the complex number in the study of gravity field through an inspection of the principles of torsion balance and rotational gradiometer and the discussion of the acquisition of height anomaly from vertical deflections according to Molodensky's, as well as the fact that some combination of horizontal gradient components are orthogonal functions on a spherical surface.

通过对扭秤、旋转梯度仪工作原理的考察和 Molodensky 关于垂线偏差推求高程异常的论述以及目前业已发现水平梯度分量的某种组合是球面正交函数系的事实，作者明确指出，在地球重力场的研究中，水平方向观测量的组合应作为复数使用。

In this paper, the analysis model of crustal vertical movement is established based on the hypothesis of the global flux isostatic datum, and its harmonic function series solution is proposed.

根据全球通量均衡假说建立了地壳垂直形变场的分析模型，在球面近似下求得了该模型的球谐函数级数解并拟合了两个不同区域的地壳垂直形变场，编绘了等值线图，继而在密切平面坐标系下导出了该模型的Fourier级数解。

The fuzzy hypersphere support vector machine is proposed for shallow buried target discrimination, and its two aspects, hyperparameter optimization and kernel function selection, are comprehensively studied.

提出了模糊超球面支持向量机浅埋目标鉴别算法，并对FHS-SVM的超参数优化和核函数选择两个问题进行了深入研究。

Sampling data for BRDF is analyzed with Spherical Harmonics, and then the BRDF surface could be rendered fast under environment illumination.

物体表面双向反射分布函数的采样数据利用球面调和函数系进行分析，然后可以在环境光源下作快速绘制。

The resolution kernel and the root square deviation of the inversion solution can be obtained by analyzing the spherical harmonic coefficients.

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。

Three displacement functions w,Gand ψare introduced in this paper tosimplify motion equations of elasticity problenis in spherically isotropic media to an indepen-dent partial differential equation concerning one displacement function ψand simultaneous equations concerning two other displacement functions w and G.

本文引入三个位移函数，将球面各向同性弹性力学运动方程，简化为关于ψ的二阶偏微分方程，和关于W和G的联立方程。在静力学问题中，联立方程可进一步简化，w和G可用另一位移函数F表示，而F满足一个四阶偏微分方程。

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。