紧空间

In this paper, first of all, we study the set-valued vector equilibrium problems and the set-valued vector Hartman- Stampacchia variational inequality in normed linear space.

本文首先在赋范线性空间中，研究了集值向量均衡问题和集值Hartman-Stampacchia变分不等式这两个问题的弱有效解的存在性，得到了弱有效解集的连通性和紧性结果。

We prove that an n-dimensional complete open Riemannian manifold M with Ricci curvature Ric_M ≥ 0 is diffeomorphic to an Euclidean n-space if M satisfies some volume growth conditions.

第二章，我们研究了Ricci益率有一定下界的完备非紧n维Riemann流形，证明了这样的流形在满足一定体积增长条件下微分同胚于n维欧几里德空间。

In the second part of this paper, by considering the geometric properties of some well-known classical Riemannian manifold and combining with results we had got, we give the definition of the parallel rays in a complete nocompact Riemannian manifold M, which are usual parallel rays when M is restricted to Euclidean space R.

本文的第二部分，基于对一些典型的黎曼流形几何性质的观察，结合已有的研究成果，我们首次给出了完备非紧黎曼流形上平行射线的定义，该定义在欧式空间中就是普通的平行射线。

During the iterations the trial step is truncated when necessary in order to keep the strict feasibility of the iteration points. It is shown that the LMTI approach and the STI approach have global convergence properties under some reasonable assumptions and will achieve local quadratic convergence rate under some even stronger conditions.

LMTI方法主要利用由有限内存BFGS公式的紧致形式获取的目标函数海色阵的近似矩阵构造信赖域问题模型并对其进行求解；而STI方法在构造的低维子空间上求信赖域子问题的解。

Based on structuring a quotient space,consisting of pairs of convex compact sets,this paper discusses the uniqueness of quasidifferential of quasidifferentiable function.

本文在构造凸紧集对商空间的基础上，讨论了拟可微函数拟微分的唯一性，指出拟微分的表示可以不唯一。

Many boots are too tight on top of my feet and I appreciate a more roomy fit.

很多靴子我穿着的时候，在脚尖的地方会觉得很紧，所以我我希望可以有更多的空间，让我穿起来更加舒服。

The substitution is made of the interval wavelet basis for the compact one in order toproduce the basis of Sobolev space with the lower condition number,which will improvethe speed and the accuracy of the linear system made by wavelet Galerkin method.

我们在小波Galerkin法中用区间小波替代J.Xu用的I.Daubechies的紧支正交小波来生成Sobolev空间及H1的小波基，使基的相关性大大减小，进一步使刚度矩阵的条件数减少，从而提高了线性方程组求解的速度和精度。

The patibulum is then lifted in place at the top of the stipes and the titulus reading,"Jesus of Nazareth, King of the Jews," is nailed in place.

他非常仔细地确认犯人的手臂不至于被拉得过紧，而是有一些可以活动和伸展的空间。

We still study a complete noncompact space-like submanifold ina pseudo-Euclidean space R_p~, and obtain some sufficient conditions for thespace-like submanifold to have finite many ends in this thesis.

本文还获得了伪欧氏空间R_p~中完备非紧的类空子流形具有有限个端的充分条件。

Be sure the swaddle is snug but not too tight to squeeze her limbs and cut off circulation leave some room for her to flex his legs .

确保襁褓是舒适，而不是太紧挤入她的四肢和切断流通；留下一些空间，她flex的他的双腿。

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。