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   周期集合 的翻译结果: 查询用时:0.022秒
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周期集合
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  “周期集合”译为未确定词的双语例句
     (ii) If the set of periods of periodic points of f is finite and nonempty, then P(f)=R(f).
     (ⅱ) 若f的周期点的周期集合非空有限,则P(f)=R(f)。
短句来源
     MAPS OF THE CIRCLE WITH FINITE NONEMPTY SET OF PERIODS
     周期集合非空有限的圆周自映射
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  相似匹配句对
     The set
     集合(英文)
短句来源
     A BRIEF DISCUSSION OF CYCLE
     周期浅析
短句来源
     MAPS OF THE CIRCLE WITH FINITE NONEMPTY SET OF PERIODS
     周期集合非空有限的圆周自映射
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     Credit Cycles
     信贷周期
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     For a set M ?
     对于集合M (?)
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  periodic set
In the special case of Ω=Id, the d-dimensional unit cube, we prove this conjecture, with Ω'=Id, for d≤3, describing all the tilings by Id, and for all d when Λ is a discrete periodic set.
      
The theory of phenomena occurring in the interaction of a thermal-neutron beam with a regular periodic set of nuclei, which represents a perfect crystal, and the results of relevant experimental investigations of such phenomena are described.
      
On the mathematical problems of composite materials with a doubly periodic set of cracks
      
In this paper; the mathematical problem of the second fundamental problem of composite materials with a doubly periodic set of arbitrary shape cracks are investigated, and the interface are arbitrary smooth closed contours.
      
The minimum boundary length density of a lattice-periodic set with given period lattice and area density is determined, together with the extremal sets, and a conjecture on the higher-dimensional analogue is made.
      
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Let f be a continuous self-map of the circle, and let P(f), R(f) denote the set of periodic points of f and fhe set of recurrent points of f respectively. In this paper, we show the following:(ⅰ) If degf=0, then.(ii) If the set of periods of periodic points of f is finite and nonempty, then P(f)=R(f).

设f为圆周到自身的连续映射, P(f),R(f)分别表示f的周期点集和回复点集,本文对P(f)与R(f)的关系得到如下结果: (ⅰ) 若degf=0,则; (ⅱ) 若f的周期点的周期集合非空有限,则P(f)=R(f)。

Let C~0(S~1,S~1) be the function space of continuous maps of a circle into itself with compact-open topology. For f∈C~0(S~1,S~1), let P(f) be the set of periods of the periodic points of f. In this paper, we have proved:(ⅰ) Let f∈C~0(S~1,S~1). Suppose that l∈P(f) and n·2~k∈P(f)(for some odd integer n>1 and integer k≥0). Then for each integer m≥n+2,there is a neighborhood N of f in C~0(S~1,S~1) such that if g∈N, m·2~k∈P(g).(ⅱ) Let f∈C~0(S~1,S~1) and let degf=-1. Suppose that n∈P(f).Then there is a neighborhood...

Let C~0(S~1,S~1) be the function space of continuous maps of a circle into itself with compact-open topology. For f∈C~0(S~1,S~1), let P(f) be the set of periods of the periodic points of f. In this paper, we have proved:(ⅰ) Let f∈C~0(S~1,S~1). Suppose that l∈P(f) and n·2~k∈P(f)(for some odd integer n>1 and integer k≥0). Then for each integer m≥n+2,there is a neighborhood N of f in C~0(S~1,S~1) such that if g∈N, m·2~k∈P(g).(ⅱ) Let f∈C~0(S~1,S~1) and let degf=-1. Suppose that n∈P(f).Then there is a neighborhood N of f in C~0(S~1,S~1) such that for each g∈N and each positive integer m with m to the right of n in the arkovskii ordering, m∈P(g).

记C~0(S~1,S~1)为圆周全体连续自映射在紧致一开拓扑下的函数空间,对任意f∈C~0(S~1,S~1),记P(f)为f的周期点的周期集合,本文证明了如下结果: (ⅰ) 设f∈C~0(S~1S~1), 若1∈P(f),n·2~k∈P(f) (n>1为奇数,k≥0为整数),则对任意正整数m≥n+2,存在f在C~0(S~1,S~1)中的邻域N,使当g∈N时,m·2~k∈P(g)。 (ⅱ) 设f∈C~0(S~1,S~1),degf=-1,若n∈P(f),则存在f在C~0(S~1,S~1)中的邻域N,使对任意g∈N和任意正整数m,关于arkovskii正整数新序:3△5△7△…△3.2~2△5.2~2△…△3.2~3△5.2~3△…;…△2~2△2△1若n△m,则m■P(g).

The property of a family of Lorenz maps Sa[0,1]→[0,1](0 < a < 1 ) is studied. The chaotic behavior is considered from the topological point of view. It is proved that Sa has dense orbit and infinite periodic orbits. The topological entropy of Sa is positive and the local Lyapunov exponent is positive for almost points in [0,1]. The sta- tistical stability of Sa is considered from the statistical point of view. It is proved that Sa is statistical stable and Sa admits a unique absolute continuous invariant measure...

The property of a family of Lorenz maps Sa[0,1]→[0,1](0 < a < 1 ) is studied. The chaotic behavior is considered from the topological point of view. It is proved that Sa has dense orbit and infinite periodic orbits. The topological entropy of Sa is positive and the local Lyapunov exponent is positive for almost points in [0,1]. The sta- tistical stability of Sa is considered from the statistical point of view. It is proved that Sa is statistical stable and Sa admits a unique absolute continuous invariant measure ga with re- spect to Lebesgue measure. ga is stable under parameter perturbation and randomly applied stochastic perturbations.

该文研究一簇Lorenz映射Sa:[0,1]+[0.1](0<a<1) 从拓扑的角度考虑了Sa的混沌行为.证明了:Sa有稠密轨道;Sa的周期的集合PP(Sa)= {1,m+1,m+2,…},其中m为使广am<1-a成立的最小正整数;Sa的拓扑熵h(Sa)>0;几乎所 有(关于Lebesgue测度)的点x的Lyapunov指数λ(Sa,x)=λa>0. 从统计的角度讨论了Sa的稳定性.我们用下界函数方法证明了Sa是统计稳定的,并且 为Sa的唯一绝对连续(关于Lebesgue测度)不变概率测度.同 时,不变密度ga在参数扰动和随机作用的随要扰动下是稳定的.

 
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