1) vector field
向量场
1.
The simple Newton s iteration of a singular vector field on Riemannian manifold;
黎曼流形上奇异向量场的简单牛顿迭代法
2.
Uniqueness of the singular point of a vector field on Riemannian manifold and its simple Newton s iteration.;
黎曼流形上向量场奇异点的惟一性和简单牛顿迭代法
3.
Path planning and velocity optimization in the vector field are studied in this paper and satisfying results are obtained.
文中应用向量场法对无碰路径规划及速度优化问题进行了分析。
2) vector fields
向量场
1.
Existence of singular point and vector fields for the force of crust;
地壳受力的向量场及奇点的存在性
2.
It is studied that smooth linearizability and finitely smooth linearizability of some hyperbolic vector fields.
讨论了一类向量场X(x) =Ax +…在双曲奇点附近的光滑线性化及有限阶光滑线性化问题。
3.
An index formula of singularities of vector fields on manifolds with boundary due to M.
Morse关于带边流形上向量场的奇点指标公式 ,应用延拓形变成adapted场的方法 ,给出了该公式一个更为简洁本质的证明 ,得到Rn 中单连通区域上连续映射的孤立零点估计 。
3) normal field
法向量场
1.
Triangulation mesh generation of scatter points based on normal field;
基于法向量场的散乱点集三角网格化
4) Hamilton vector field
Hamilton向量场
1.
A class of perturbed cubic Z2-equivariant Hamilton vector field is discussed in this paper.
考虑一类扰动的平面三次Z2-等变Hamilton向量场,借助数值分析工具,利用平面动力系统分支理论和判定函数方法证明该向量场至少存在11个极限环,且给出这些极限环的相对位置分布。
2.
In this paper,Some properties of product poisson manifold are discussed,some formulas of Hamilton vector field are also obtained;Morover,the Concept of Poisson Group is introduced in this paper and is applied in poisson manifol
本文讨论了Poisson积流形的一些性质,得出了Hamilton向量场的若干公式;文中还引入Poisson群的概念,并给出了它在Poisson流形中的应用。
5) Hopf vector field
Hopf向量场
1.
With a Sasaki metric defined by Hopf vector field,we show that the Hopf vector field has minimum volume on S2n+1 for all n.
采用切丛TS2n+1上的不同联络,证明了Hopf向量场是S2n+1上体积最小的单位向量场。
2.
In particular, we get Sasaki metric on unit tangent bundle T_1S~(2n+1), by which we calculate the volume of the Hopf vector field V_h.
在此度量下计算了奇数维球面S~(2n+1)上Hopf向量场V_H的体积，由Gysin序列得到了T_1S~(2n+1)的上同调群。
6) symplectic vector field
辛向量场
1.
In this paper,first of all , we establish a necessary and sufficient condition that a vector X on the cotangent bundle T*P is symplectic vector fields.
文中先建立了余切丛TP上向量场X为辛向量场的充要条件,以此为据,给出了一系列具体的向量场是或不是辛向量场的判断。
2.
Defines an opertor P: C∞ (M,TM) × C∞ (M,TM) → C∞ (M,TM) in vector field Lie algebra Coo (M,TM) on symplectic manifold (M,co) and gets as simple sufficient and nesessary condition for the vector fields being symplectic vector fields, and also obtains some identities on symplectic and Harmilton vector fields.
在辛流形（Ｍ，ω）的向量场李代数Ｃ∞（Ｍ，ＴＭ）中定义了一种算子Ｐ：Ｃ∞（Ｍ，ＴＭ）×Ｃ∞（Ｍ，ＴＭ）→Ｃ∞（Ｍ，ＴＭ），得到了向量场是辛向量场的一个简明的充要条件，同时还得到了一些有关辛向量场与Ｈａｒｍｉｌｔｏｎ向量场的恒等式。
补充资料：向量场
向量场（矢量场）是物理学中场的一种。假如一个空间中的每一点的属性都可以以一个向量来代表的话，那么这个场就是一个向量场。
最常用的向量场有风场、引力场、电磁场、水流场等等。
说明：补充资料仅用于学习参考，请勿用于其它任何用途。
参考词条