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one-parameter group
相关语句
  单参群
     A Property of the Third-Order Ordinary Differential Equations with Variable Coefficients Admitting One-Parameter Group
     三阶变系数方程许可单参群的一个性质
短句来源
     In this paper,the local simptification theorem of C~r-vector field and Frobenius' Theorem are proved independently of the basic theorem. of differe- ntial equation,the existence of local one-parameter group is proved as a corollatry,and the relation between the Frohenius' theorem and the basic theorem of differential equation is discussed.
     本文对C~T流形上向量场的局部直化定理及Frobenius定理给出完全不依赖微分方程基本定理的证明,探讨了Frobenius定理与局部单参群及微分方程基本定理的关系。
短句来源
     Under the assumption of the initial third-order linear differential equation with variable coefficients admitting a one-parameter group, the conditions of admitting the same one-parameter group for another third-order linear differential equation are discussed.
     在“初始”的三阶变系数线性方程许可某单参群的条件下,考察并获得另一三阶变系数方程许可同一单参群的条件。
短句来源
     It was showed that if an auxiliary second-order differential equation has exact solutions. these two third-order differnential equations are integrable when they admit the same one-parameter group.
     证明了如果一辅助的二阶线性方程有精确解,则这两个三阶方程在许可同一单参群时也可积。
短句来源
  “one-parameter group”译为未确定词的双语例句
     CHARGED GAS SPHERES ADMITTING A ONE-PARAMETER GROUP OF CONFORMAL MOTIONS
     含单参数共形运动群的荷电气体球
短句来源
     In this paper,an interior solution of the Einstein-Maxwell equations fora static charged perfect gas sphere is presented under assumtion that the space-time admits a one-parameter group of conformal motions.
     本文在假设空时含一个单参数共形运动群的条件下,给出了静态荷电气体球(ρ=kp)的一个内部解。
短句来源
     In this paper,a common framework based on the theory of fixed point of contractive mapping is proposed to find geometric invariant kernels,within which one-pa- rameter group is used to model the transformation between images,and any one-parameter group can be converted to a contractive map- ping through a coordinate transformation from current canonical coordinate to another one,then the kernel can be considered as the fixed point of the contractive mapping which can be searched via iteration.
     基本思想可表述为:在Hilbert空间中,首先以单参数变换群表示图像之间的几何形变,然后用压缩映射不动点迭代方法获得对该单参数变换群具有几何不变性的核函数,最后以此核函数提取图像中的不变特征,若变换不是压缩映射(变换),可通过正则坐标系间的转换,使单参数变换在新坐标系下具有压缩映射的性质。
短句来源
  相似匹配句对
     One is R.
     研究结果表明,危害贵州省小麦的病原丝核菌至少有两种,一种是R.
短句来源
     One of them is M. W.
     W.
短句来源
     In one group
     结果表明,肝细胞超微结构的恢复激光组比手术刀组快;
短句来源
     On One-sided Accomplice
     论片面共犯
短句来源
     When I Was One-and-Twenty
     我在廿一岁的时候
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  one-parameter group
A complete description is obtained for an infinitesimal operator of a one-parameter group of isometric operators constructed for a dynamical system with the image of trajectories in a region with piecewise-smooth boundary.
      
A lorentzian manifold with a one-parameter group of homotheties which has a closed isotropic orbit
      
Trajectories of a dynamical system determined by a one-parameter group of conformal mappings of R3
      
There exists a one-parameter subgroup {gt} (-∞>amp;lt;t>amp;lt;+∞) of the group G, such that G/D is a distal minimal set under the operation on its one-parameter group {gt}:[Figure not available: see fulltext.]
      
A system of magnetohydrodynamics equations for the compressible plasma, invariant for the one-parameter group of motions in the space E3 is integrated.
      
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In this paper we consider only the dynamical systems on an orientable closed 2-manifold M, i.e.an additive one-parameter group of mapping f:(where t is a real parameter) of M onto itself, Only the dynamical limiting set on M is investigated. If the dynamical system defined on M has enumerable singular points, then the dynamical limiting set Ω will belong to one of the following cases: (i) Ω is a singular point; (ii) Ω is a closed characteristic; (iii)Ω is the limiting set of a sequence of boundaries of...

In this paper we consider only the dynamical systems on an orientable closed 2-manifold M, i.e.an additive one-parameter group of mapping f:(where t is a real parameter) of M onto itself, Only the dynamical limiting set on M is investigated. If the dynamical system defined on M has enumerable singular points, then the dynamical limiting set Ω will belong to one of the following cases: (i) Ω is a singular point; (ii) Ω is a closed characteristic; (iii)Ω is the limiting set of a sequence of boundaries of ring domains in a plane. (iv)Ω has non-dmerable characteristics, of which there are only enumerable characteristics whose dynamical limit is a singular point. For the last mentioned case,Ω is a quasi-minimum set. (The set m is called a quasi-minimum set if for any point q ∈ m (provided that such a point exists) Ωq or Aq has an ordinary point then m=f(q,I), where f (q, I) is the characteristic passing through the point q, and Ωq, Aq are the positive and the negative dynamical limicting sets of f (q, I) respectively.)

这篇文章讨论二维定向闭流形上动力极限集的结构,所得的结果,可简单地叙述如下: 设在二维定向闭流形M上定义了动力体系,p为M上任一点,过p的轨线记为γ(p),γ(p)的正的动力级限集记为Ωp,那末Ωp的结构如下: 1、或者Ωp为一奇异点, 2、或者Ωp为关闭特征曲线, 3、或者Ωp为平面上一列环状区域边界的极限,这时Ωp只有可列条轨线,其中任何轨线,它的两端注入奇异点。 4、或者Ωp含有不可列条轨线,其中只有可列条轨线,它的动力极限点为奇异点,这时Ωp为拟极小集,拟极小集的定义可参考本文§1。 5、对非定向二维闭流形上极限集的结构,是类似的。

In this paper, we get a necessary and sufficient condition for a generalcodimensional submanifold with constant mean curvature in a Riemannian mani-fold to be a totally umbilical submanifold. Its particular cases are Theorem I. A necessary and sufficient condition that an m-dimensionalhypersurface in an Einsteinian manifold be a totally umbilical hypersurface,is H~2=k/(m(m-1))=K'/(m(m+1))-,where H and K are the mean curvature and scalar curvature of hypersurfacerespectively, and K' is the scalar curvature of...

In this paper, we get a necessary and sufficient condition for a generalcodimensional submanifold with constant mean curvature in a Riemannian mani-fold to be a totally umbilical submanifold. Its particular cases are Theorem I. A necessary and sufficient condition that an m-dimensionalhypersurface in an Einsteinian manifold be a totally umbilical hypersurface,is H~2=k/(m(m-1))=K'/(m(m+1))-,where H and K are the mean curvature and scalar curvature of hypersurfacerespectively, and K' is the scalar curvature of the ambient manifold. Theorem 2. A necessary and sufficient condition that an m-dimensionalsubmanifold in an (m + k)- dimensional Riemannian manifold of constant curva-ture be a totally umbilical submanifold, is H~2=k/(m(m-1))-K'/((m+k)(m+k-1)) On the other hand, we have Theorem 3. Let M' be an (m+ k)- dimensional oriented Riemannian manifold,and M a closed m- dimensional oriented submanifold in M', if we suppose thatM' admits an one- parameter group of homothetic transformations such that itsgenerating vector is always tangent to M, then the group is that of motions. It is a generalization of a theorem of Prof. K. Yanoc.

本文讨论黎曼流形里一般余维的常数平均曲率的子流形为全脐子流形的充要条件。对于爱因斯坦流形和常曲率黎曼流形得到了简洁的结论。文章还把矢野健太郎的一个定理推广到一般余维的情形。

In this paper,an interior solution of the Einstein-Maxwell equations fora static charged perfect gas sphere is presented under assumtion that the space-time admits a one-parameter group of conformal motions.The solution includesas special cases the dust solution given previously by Herrera and ponce deLeon.

本文在假设空时含一个单参数共形运动群的条件下,给出了静态荷电气体球(ρ=kp)的一个内部解。这个解将Herrera 和Ponce de Leon 以前给出的dest 解作为特例包括在内。

 
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