紧空间

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。

In this paper, the following statements were proved: is chaintransitive if and only if is chaintransitive; if a homeomorphism is a Lipschitz map, then has the average shadowing property if and only if has the average shadowing property.

设是紧致度量空间，：X→X是连续的，n为任一给定的正整数，证明了：是链可迁的当且仅当是链可迁的；若同胚是Lipschitz映射，则有平均跟踪性当且仅当有平均跟踪性。

Arkeryd [5], then we use the results about moment and entropy given in [6], andprove that there exists a space homogeneous solution in L~1(R~3) to this equation withunbounded collision frequency.

Arkeryd紧性方法[5]的启发，根据[6]中给出的熵与矩的结果，在碰撞机率无界的情况下，证明了线性半导体Boltzmann方程在L~1(R~3)空间中存在均匀解。

However, the solutions of the Cauchy problem of the nonlinear hyperbolic system generally develop singularities in finite time even if the initial data are small and smooth.For this reason, solutions must be found in the space of discontinuous functions. Therefore, one can not directly use the classical analytic techniques that predominate in the theory of partial differential equations of other types. Instead, we construct approximate solutions via the singular perturbation methods. By using the compactness of the approximate solutions, we can obtain the existence of the solutions of original system.

然而一般而言，即使是在初值很小且光滑的情况下，非线性双曲型守恒律的Cauchy问题的解在有限时间内也会出现奇异性，为此，我们必须在不连续函数空间中寻找上述问题的解，因此对这类问题的研究，我们也不可能直接利用在其它类型的偏微分方程中占主导地位的解析方法来解决问题，而是通过奇异扰动法构造近似解，由近似解的紧性得到原问题解的存在性。

In this paper, it is extended to image 3D modeling which tries to find the smallest hypersphere enclosing target data in high dimensional space by kernel function.

本文通过在高维空间中寻找包围目标数据的最紧的超球，将球型支持向量机扩展到图像3D建模的应用中。

It is proved that a complete hypersurface in the Eucligean space with constant mean curvature and finite total curvature must be either minimal or compact.

我们证明了：欧氏空间中具有常平均曲率和有限全曲率的完备超曲面，或是极小超曲面，或是紧致超曲面。

As an assembly tool of the big diameter bolts, hydraulic torque wrenches have many advantages, such as big output torque, easy operation, being able to be used conveniently in the incommodious room, and comparatively precise control of the magnitude of torque.

液压扭矩扳手作为一种大直径螺栓的装配工具，具有很多的优点，如输出扭矩大，使用方便，能够在狭窄的空间范围内使用，且能够比较准确控制预紧扭矩的大小等。

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。

Furthermore,under some assumptions,the relationship was also established between the global solutions of the augmented Lagrangian function on some c...

进一步地，在对全局解的一定假设下，还提供了原约束问题的全局最优解与增广Lagrange函数，在原问题变量空间的一个紧子集上的全局最优解之间的一些对应关系。

This one mode pays close attention to network credence foundation of the businessman very much.

这一模式非常关注商人的网络信用基础。

Cell morphology of bacterial ghost of Pasteurella multocida was observed by scanning electron microscopy and inactivation ratio was estimated by CFU analysi.

扫描电镜观察多杀性巴氏杆菌细菌幽灵和菌落形成单位评价遗传灭活率。