查询词典 metric space

At last for a continuous map defined on a compact metric space, the strong-e-chain, strong-chain-transitive component are introduced and some existing results are improved.

最后对定义在紧致度量空间上的一个连续映射，引入了强-∈-链，强链传递分支的概念，改进了一些已有的结论。

Design process modelling is another important area of CAD techniques. In chapter 9, by numeric analysis, composite/decomposite of design objects and metric space, we discuss the quantity feature of design process in detail, which ground the qualitative reasoning in design process.

设计过程建模是CAD技术的又一重要课题，在第九章中，作者运用数值分析的手段，通过设计对象的组合分解，引入距离空间的概念，对设计过程中的定量性作了详细分析，这一分析过程为设计过程建模后续的定性推理提供了坚实的基础。

Finally,as to an equicontinuous homeomorphism on a compact metric space,...

最后，针对紧致度量空间上的等度连续同胚，利用空间的极小性和紧致性，得到以空间中某有限个点的有限长轨道为中心，以ε2为半径的开邻域构成的有限子覆盖，并利用f的等度连续性，由该子覆盖构造出以空间任一点的有限长轨道为中心的开邻域所作成的有限子覆盖，进而得到所要结论。

Minimality ; minimal set ; compact metric space ; open cover ; equicontinuous homeomorphism

极小性；极小集；紧致度量空间；开覆盖；等度连续同胚

Chapter 3, in the above system, gives out the definitions of topological new transitivity, topological transitivity, topological strong transitivity and topological conjugate of a sequence of maps, studies basic properties of the above topological conjugate, and obtains some main results, proves topological new transitivity and topological transitivity are equivalent u-under a compact metric space, a sequence of full maps and interchangeable with each other, and that some conclusions associated with topological conjugate.

第三章，在上述系统中给出了一列映射的拓扑新传递、拓扑传递、拓扑强传递和拓扑共轭的定义；研究了一列映射的拓扑共轭的基本性质，得到了一些主要结果；证明了在底空间是紧致度量空间、一列映射是满映射并且两两可交换的条件下拓扑新传递和拓扑传递是等价的；还证明了几个与拓扑共轭相关的结论。

In the solution of the problems in algebraic equation, differential equation and integral equation, we usually resort the sotution of equation to the fixed point of mapping in metric space. The contraction mapping principle can be used to solve many problems of the existence and uniqueness of equation solution.

在代数方程、微分方程和积分方程的求解问题中，通常把所求的解归结为度量空间中映射的不动点，然后应用压缩映象原理来统一处理许多方程解的存在性和唯一性问题。

The notions of move generalized quasi-contractive mapping sequence respect to p and generalized Ishikawa-type iteration are introduced in p-convex metric space s.

在p-凸度量空间内，引入关于p的更广义拟压缩映射序列和广义Ish ikawa型迭代序列，证明了广义Ish ikawa型迭代序列收敛于关于p的更广义拟压缩映射序列的唯一公共不动点。

The author defines the lshikawa iteration process with errors for a sequence nonlinear generalized quasi contractive mapping in convex metric space s and prove that the iterative scheme converges to the unique common fixed point of the sequence of nonlinear generalized quasi contractive mapping.

在凸度量空间内，对非线性广义拟压缩映射序列定义了带误差的 lshikawa迭代序列，证明了带误差的 lshikawa迭代序列收敛于非线性广义拟压缩映射序列的唯一公共不动点。

It is proved that if a homeomorphism f on a compact metric space with the POTP is distal homeomorphism, then f does not have the average shadowing property.

证明了紧致度量空间中有伪轨跟踪的distal同胚不具有平均跟踪性，并给出了有平均跟踪性的同胚是极小的一个充分条件。

We prove in this paper that topological entropy is zero, in systems of equivariant mapping, that systems of compression mapping, and systems of the homeomorphism of unit circle onto itself, while the toppological entropy is positive, that extensible mapping in the compact toppological metric space.

证明了在一般的紧致度量空间上，等距映射的系统，压缩映射的系统，单位圆上的自同胚映射的系统等的拓扑熵都为零，而可扩映射的系统有正的拓扑熵。

The big eared hedgehog, the little owl, the sand gecko, the three-toed jerboa, and every show needs a villain - saw-scale - the viper!

大耳刺猬，小猫头鹰，沙壁虎，三趾跳鼠，每场戏都需要反派角色：蝰蛇。

Plasmodiophora brassicae ; resting spores ; density gradient centrifugation of sucrose ; ultrasonic disruption

根肿；休眠孢子；蔗糖密度梯度离心；超声波破碎