查询词典 compact space

In Chapter 4, for a discrete dynamical system defined on a compact metric space, we prove a necessary and sufficient condition for an invariant set to be a periodic orbit.

第四章，对于定义在紧致度量空间上的离散动力系统，给出了一个不变集是一条周期轨道的一个充分必要条件。

It is proved that Poisson-stable points are dense in the locally compact phase space X if and only if non-wandering point s are dense in the X.

证明了如果相空间X局部紧，则Poisson稳定点在X中稠与非游荡点在X中稠等价。

With the advance of the space and science technology, the development of the compact and portable hydrogen maser with high performance is in great demand.

随着空间和科学技术的发展，小型、易搬运、高性能氢原子钟的研制势在必行。

In this paper, to study fixed-point of compact metric space , and obtain one pair fixed-point theorems of expansion Mapping and compression Mapping.

摘要研究了紧度量空间上的不动点问题。得到扩张映射与压缩映射的不动点定理。

For a map of compact metric space, topological entropy density is defined for infinite topological entropy.

摘要在度量空间上，对于拓朴熵为无穷大的映射补充定义拓朴熵密度。

Promoting topological transitivity and chaos are investigated in a compact metric space.

研究紧致度量空间中推广意义下的传递性和混沌性。

It is proved that all monic polynomials of order n with roots lying in some open region on the complex plane forms a simply connected set in the polynomial parameter space. Based on this result, Edge Theorems for D-stability of general polyhedrons of polynomials and Boundary Theorems for D-stability of compact sets of polynomials are obtained.

证明了其根位于复平面中某开域的所有n阶多项式的全体构成多项式参数空间中的一个单连通集，并基于这一结果进一步提出了关于一般多面体多项式族D-稳定性的棱边定理和关于一般多项式紧集D-稳定性的边界定理。

Since the solutions of this problem are the critical points of the associated energy function. One generally needs some compactness such as PScondition or C-condition to prove the existence of critical points of the energy func-tion, but when we study the elliptic equation in R~N, the compactness condition does not always hold since the imbedding of the Sobolev space H_0~(1,2)into L~(2*) is not compact. In this chapter, based on the nonsmooth critical point theory, and by using the approximation technique with periodic function, the existence of nontrivial solution is obtained.

由于该方程的解就是其所对应的能量泛函的临界点，通常都要在一些紧型条件的基础上来证明其所对应的能量泛函临界点的存在性，但当我们在无界域上考虑该椭圆方程解的存在性时，Sobolev空间H_0~(1，2)到L~(2*)的嵌入非紧，从而导致所对应的能量泛函失去紧性，本章在非光滑临界点理论的基础上，应用周期逼近的方法证明该问题非平凡解的存在性。

This paper discusses the necessary and sufficient conditions of normed linear spaces equading reflexive space and the relationship between reflexibility and weakly compact.

讨论了赋范线性空间为自反空间的充分条件和必要条件，并讨论了自反与弱紧的关系。

The symmetric property and compact support are incompatible for orthogonal wavelets in function space, whether the properties of discrete orthogonal wavelets can be compatible is still unknown.

函数空间中正交小波的对称性和紧支性不能兼容，而离散空间中正交小波的性质能否兼容仍然是一个未知的问题。

They weren't aggressive, but I yelled and threw a rock in their direction to get them off the trail and away from me, just in case.

他们没有侵略性，但我大喊，并在他们的方向扔石头让他们过的线索，远离我，以防万一。

In slot 2 in your bag put wrapping paper, quantity does not matter in this case.

在你的书包里槽2把包装纸、数量无关紧要。