查询词典 spherical bessel function

Several types of processes and characteristics of super-fine SSP are analyzed and compared, they are high frequency plasma spherical method, direct current plasma spherical method, carbon pole electrical arc spherical method, gas burnt flame spherical method, high temperature fused quartz jet and chemo synthesis spherical method.

本文对国内的研究开发现状和国际球形石英粉的生产现状进行了分析研究；分析比较了高频等离子球化法、直流等离子体球化法、碳极电弧球化法、气体燃烧火焰球化法、高温熔融喷射以及化学合成球化法的工艺特点。

This project studies the scale-dependent deformation behavior of the metal matrix composite, the void nucleation and void growth mechanisms at the micron/submicron scale. The main results are:(1) In prophase, growth and coalescence of the void embedded in the graded matrix are analyzed in detailed;(2) Based on the infinite solid model containing a micro-void, coupling effects of the void shape and the void size on the void growth are studied carefully, the results show that it seems to exist a critical equivalent void radius, which is associated with the material length. When radius of a microvoid is close to or smaller than the critical void radius, the micro-void growth rate is essentially eliminated;(3) The coupling effects of the particle shape and size on the mesoscopic stress fields within the particle and matrix are also investigated by introducing the conception of inclusion/matrix interfacial energy. The results show that the stress concentration factors within the particle and on the matrix/particle interface are also strongly size-dependent,so the void nucleation mechanism is size-dependent.(4) By employing a specific orthogonal curve coordinate frame and a 'kernel function' conception, a 'unified method'solving the spheriodal and spherical void problems is suggested; by this unified method, size-dependent plastic potentials of the porous materials containing the spheriodal or spherical voids are obtained, which extend the traditional Gurson model for the spherical void and GLD model for the spheriodal voids to the micron scale.(5) Based on the RVE model containing the spheriodal or spherical particles, the influences of the particle shape and size on the size-dependent mechanical behavior of metal matrix composite are studied.

中文摘要：本项目对金属基复合材料在微细观尺度下的尺度相关变形行为、孔洞形核及长大的机理和模型进行了研究，取得了如下主要结果：1）在前期研究中，探讨了基体的梯度分布对孔洞长大和聚合的影响；2）基于含孔洞的无限大体模型，探讨了孔洞形状和孔洞尺寸对其长大的耦合作用，结果表明：可能存在一个与材料特征长度相关的临界孔洞尺寸，当椭球孔洞的等效半径小于临界孔洞半径时，孔洞的长大受到明显抑制；3）通过引入基体/夹杂界面能的概念，分析了夹杂尺寸、夹杂形状对材料细观应力场的耦合影响，结果表明：颗粒内部和界面上的应力集中因子强烈地依赖于夹杂的尺寸和形状，因此，孔洞的形核机理是尺寸相关的；4）采用一种特殊的正交曲线坐标系和引入"核函数"的概念，"统一"地得到了含椭球和球形孔洞的材料的尺寸相关塑性势，它将传统的Gurson球形孔洞模型和GLD椭球孔洞模型推广到微尺度范围；5）基于含椭球和球形夹杂的体胞模型，初步研究了夹杂形状、夹杂尺寸对金属基复合材料尺寸相关力学行为的影响。

Code of drawing a map in Bessel Newmann function, WINDOWSthe generalized Bessel equation and the Hankel function.

并利用球Bessel函数与半奇数阶Bessel函数的关系计算了本征函数的模方。

The longitudinal component of electromagnetic wave propagating in fiber can be expressed by Based function or the modified Bessel function of second kind. Based on this principle, we put forward a simple method for generating a Bessel beam with glass capillary and focusing lens.

对光纤中传播的电磁场分析发现，其纵向分量可以用贝塞耳函数及第二类变态贝塞耳函数来描述，据此，提出一种利用玻璃毛细管和聚焦透镜实现贝塞尔光束的简易方法。

Cosine law of spherical triangles : in the spherical triangle , either side of the hot core corresponding to the cosine of angle equal to each other on both sides of the corresponding hot core product with the cosine angle on both sides of each angle of the sine and the corresponding spherical center piece of any side in the spherical triangle in ...

球面三角形余弦定律：在球面三角形中，任意一边所对应球心角的余弦等于其他两边各自对应球心角的余弦乘积加上这两边各自对应球心角的正弦及任意的那条边在球面三角形中。。。

This thesis contributes to geometry compression in the following aspects: Proposes a method of progressive spherical mesh parameterization based on local parameterization by directly projecting the deleted vertices to its neighborhood. Based on spherical mesh paramterization, an adaptive subdivision remeshing method by progressivly redistributing of sampling points is proposed, by this means, the main geometry information of the original mesh can be captured with only a small amount of samples, it can also be used in mesh simplification. By regarding attributes binded on mesh vertices as geometry signals and transferring them onto a uint sphere by means of spherical mesh parameterization, meshes with different attributes are compressed with spherical wavelet successfully with high compression rate. As a kind of lossy geometry compression technique, two mesh simplification algorthimes are also presented in this thesis.

归纳起来，本文的主要贡献有：提出了以直接投影局部参数化方法为基础的网格累进球面参数化方法；在网格球面参数化方法的基础之上，提出了一种基于累进优化布点方案的网格细分采样方法，该方法可以用很少的采样点就可以捕获到网格的主要特征，因此我们也将其用于后面的网格简化工作当中；通过将网格顶点上定义的各种属性看成几何信号，并以网格球面参数化为手段将几何信号迁移到单位球面上，从而成功地实现了用球面小波对各种几何信号的压缩；作为一种有损压缩方法，本文还提出了基于统一距离的网格简化算法和基于重采样的网格简化算法。

Starting from the Laplace equation, the solution of Laplace equation, in spherical coor dinates, is developed for the boundary value problem approximating the local gravity field over a spherical cap——spherical cap harmonic analysis, and the spherical cap harmonic expansion with integral order but nonintegral degree and practical formulae are given.

从Laplace方程出发，提出了在球冠上逼近局部重力场的大地测量边值问题——球冠谐分析理论，给出了非整阶整次球冠谐展开和实用计算公式。

After 30 days, the cultures were preserved in darkness, and 4 types of resting cysts were found after another 90 days:(1) spherical to ovoid cysts (25-39 μm long) covered by asparse or numerous calcareous attachments (1-4 μm long) and a calcareous surface;(2) spherical cysts (29-35 μm diameter) with a noncalcareous surface attachment, calcareous surface;(3)spherical to ovoid cysts (29-35 μm long) w ithout any surface attachment and a calcareous surface; and (4) spherical c ysts (24- 35 μm diameter) without any surface attachment and an organic surf ace.

培养30天后，培养液中有大量休眠孢囊，将藻液避光保存90天后，观察到培养基中有4种类型的休眠孢囊产生：(1)球形到椭球形(长25-39 μm)，钙质外壁，稀疏或密被钙质附属物(长1-4 μm)；(2)球形(直径为29-35 μm)，钙质外壁，附属物非钙质(长0.5-1.5 μm)；(3)球形到椭球形(长29-35 μm)，钙质，表面光滑，无附属物；(4)球形(直径24-35 μm )，有机外壁，无附属物。

The method includes the following steps: firstly, a spherical neighborhood of present sample points is established by using the geometric spherical-modelling theory and all the sample points contained in the spherical neighborhood are adopted as candidate neighbor points, thus not only preserving the effectivity of the dimension reduction capability when data sets are sparse but also getting the advantages of low-sensitivity to isolated points and good stability of the preserved topological structure; then a data relevance matrix more matching semantics can be obtained by relevance measurement based on route clusters to update the candidate neighbor points in the spherical neighborhood and optimize the regular neighborhood space of the present sample points, thus improving the phenomenon that the dimension reduction of sample sets provided with folded curved faces is apt to suffer the integrated-structure distortion in case of heterogeneous data distribution.

首先利用几何开球原理建立当前样本点的球状邻域，将包含在球状邻域内的所有样本点作为候选近邻点，不但能够保持在数据集稀疏情况下的降维性能的有效性，而且具有对孤立点敏感性不高、保留拓扑结构稳定性好的优点。然后利用基于路径聚类的相关性度量得到更符合语义的数据相关性矩阵，用来对球状邻域内的候选近邻点进行更新，优化当前样本点的规则邻域空间，改善了当数据不均匀分布时在带有折叠弯曲面的样本集上降维容易出现整体结构扭曲的现象。

Firstly, the parallel mechanism parameters are designed by theory, and the two spherical hinges of cue instrument on the mobile and base platform are fixed up separately. Under the condition that the mobile platform parallels the base platform, the center of spherical hinge of the cue instrument on the mobile platform are moving along a spherical helix corresponding to the center of spherical hinge on the base platform.

首先按理论并联机构设计参数，将一球杆仪的两个球铰分别固定在保持平行的动、静平台上，令球杆仪在动平台上的球铰中心相对于静平台上的球铰中心做球面螺旋线运动。

Many will continue to choose to live in duality and in conflict.

许多人将继续选择活在二元对立性和冲突中。

I find that students of the University of Physical Education all wear sportswear at first sight.

我发现：体育大学的学生乍一看，都是穿运动衣，大家都一样