查询词典 unit sphere

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

The zonal translation networks on the unit sphere is constructed with the best approximation of spherical harmonic polynomials and the Riesz means. The Jackson theorem of approximation by such kind of zonal translation is established.

借助于球调和多项式的最佳逼近多项式和Riesz平均构造出了单位球面S上的带形平移网络，并建立了球面带形平移网络对LS(上标 q中函数一致逼近的Jackson型定理。

Feasible region of unit-sphere was defined by standard if angle between normals and stamping direction was less than 90°.

以冲压方向与网格法线夹角不大于90°为冲压方向可行的判据，确定在单位球面上的冲压方向可行域。

In 1968,J.simons got the integral formulaof the minimal submanifolds of unit sphere S~(1).After that time,many geometrician had got lots of results on the pinching problem of submanifolds.

自从1968年J.Simons给出球面S~(1)中极小子流形的积分公式后，几何学家对子流形的pinching问题研究的很多。

In this paper, we mainly study the gap of the second fundamental form of hypersurface with constant mean curvature in the unit sphere.

本文主要研究了单位球面内常平均曲率超曲面的第二基本形式模长平方的间隙性。

On the product of unit spheres,we give a kind of natural embeddings from the product unit spheres to the unit sphere in which the product of unit spheres can be viewed as a hypersurface.

第一个是在乘积单位球面上，我们给出自然的由乘积单位球面到高一维球面的嵌入映射，然后考虑了在乘积单位球面上预给定Gauss-Kronecker曲率后，我们所考虑的嵌入的存在性。

At the same time, by subdividing an icosahedron and projecting all its vertices onto the unit sphere from the center, we can get a spherical triangle mesh with subdivision topology.

然后，将一个正多面体进行细分并将每一次细分所产生的新顶点投影到单位球面上，如此生成一个细分网格。

Let x be an immersion of a compact Willmore surface M into the n-dimensional unit sphere Sn. In this thesis we first consider the Willmore surfaces in the unit 3-sphere, and establish an integral inequality for the square of the length of the trace free part of the second fundamental form and the mean curvature.

令x是一个从紧致威尔摩曲面M到n 维单位球面Sn的浸入，在本论文中我们首先考虑3维单位球面中的威尔摩曲面并建立一个包含第二基本型式迹为零部份的张量长度平方与平均曲率之积分不等式。

Under the help of maths tools, the authors induct Poincare sphere and Stokes son space unit sphere to express the stations of polarization, and study their connection.

本文借助数学工具，引入 Poincare球与Stokes子空间单位球表示光的偏振态，并对二者关系进行了研究。

Concept To describe changes in the relative configuration of rocks, imagine that there is a unit sphere, 1 in radius, in the rock before it is deformed. When the rock is deformed homogeneously, the sphere becomes an ellipsoid. Then this ellipsoid is called strain ellipsoid, whose shape and orientationrepresents the rock's strain condition.

概念 为了形象地描述岩石的应变形态，设想在变形前岩石内有一个半径为1的单位球体、平均变形后成为一个椭球，以这个椭球形态和方位表示岩石应变状态这个椭球称应变椭球。

On the other hand, the more important thing is because the urban housing is a kind of heterogeneity products.

另一方面，更重要的是由于城市住房是一种异质性产品。

Climate histogram is the fall that collects place measure calm value, cent serves as cross axle for a few equal interval, the area that the frequency that the value appears according to place is accumulated and becomes will be determined inside each interval, discharge the graph that rise with post, also be called histogram.

气候直方图是将所收集的降水量测定值，分为几个相等的区间作为横轴，并将各区间内所测定值依所出现的次数累积而成的面积，用柱子排起来的图形，也叫做柱状图。