查询词典 manifold

The problem has wide applications to various disciplines such as computational complexity theory, organic chemistry etc., and is also closely related with the problem of how to construct cospectral Riemannian manifold in Riemannian geometry and the problem of 'Can one hear the shape of a drum?

该问题的研究在计算复杂性理论、有机化学等领域有着重要应用，并与Riemann几何里面如何构造同谱Riemann流形及物理学里面的'听鼓辨其形状'等问题密切相关。

2The new cloud physical model is put forward the metric geometry.(3)The generalized cloud equations of cloud is derived on the generalized function and the Sobolev space on the Riemannian manifold.

提出了 大气模式中新一代云方案的动力学：(1)基于拓扑的云分类；(2)基于度量几何的云模型(3)利用黎曼流型上的广义函数和索伯列夫空间，系统建立了云之动力学方程组。

The n-dimensional umbilical submanifolds in a Riemannian manifold of quasi constant curvature are discussed.

摘要讨论拟常曲率黎曼流形中的全脐子流形，得到关于这类子流形的两个定理。

This paper is divided two chapters. The first chapter discusses the existence and uniqueness of solution for the Cauchy problem of the following quasilinear degenerate parabolic equationThe second chapter studies the geometric properties of a Riemannian manifold.

本文分两部分，第一部分是对如下形式的拟线性退化抛物方程Cauchy问题讨论了解的存在唯一性；第二部分是讨论了黎曼流形中的一些几何问题，主要是将欧氏空间平行射线的概念推广到一般黎曼流形，并研究其所具有的性质。

Newton's method; Riemannian manifold; Smale's point estimate theory; section of a vector bundle; geodesic; Lie group; one-parameter subgroup

基础科学，数学，几何、拓扑Newton法； Riemann流形； Smale点估计理论；向量丛的截面；测地线；李群；单参数子群

Once the dispersion of the element of fluid which corresponds to the maximum on dispersion curve occurs, the increment of sample dispersion coefficient varies directly with the increment of manifold volume travelled through.

对应于流出曲线极大值的流体元一经分散，分散系数的增量与所通过的管路体积的增量成正比。根据串联釜模型，考察了响应曲线的方差与各变量（反应管长，载流流速和进样体积）间的关系以及方差与相应分散系数的关系。

The artistic approach of Systeme Castafiore, enriched with its manifold savoir-faire, creates a playful atmosphere, full of imagination.

受益于艺术家们的多样才华，轻松开放的创作环境，卡斯塔舞蹈团的作品创意天马行空，精彩丰富。

High back pressure of exhaust manifold, rapid change in load, scavenge fire and so on.

高背压的排气系统，在负载快速变化，清除火灾等。

Theorem 4 There is no compact totally real 2-harmonic submanifold with non-zero parallel mean curvature and positive sectional curvature in a locally symmetric Bochner -Kaehler manifold.

定理4局部对称Bochner-Kaehler流形中不存在具有非零平行平均曲率向量且截面曲率大于零的紧致全实2-调和子流形。

Theorem 3 Let M~n be a compact totally real 2-harmonic submanifold in M~n which is a locally symmetric Bochner-Kaehler manifold.If Ricci curvature of M~n is nonegative and positive at a point at least,then the holomorphic sectional curvature of M~n is a postive constant number.

定理3设M~n是局部对称Bochner-Kaehler流形M~n的紧致全实2-调和子流形，若M~n的Ricci曲率非负且至少在一点为正，则M~n具有正常数全纯截面曲率。

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。