关于一般性的重合定理

得出了几个新一一般性的重合定理,它是许多已有论文中相应的单值和多值不动点定理的推广,同时也是著名的Ｆａｎ－Ｋａｋｕｔａｎｉ定理的推广。     

一类具有广义Lipschitz条件的非线性映象的迭代过程

本文研究了广义Ｌｉｐｓｃｈｉｔｚ强增生映象的Ｉｓｈｉｋａｗａ型迭代和Ｍａｎｎ型迭代过程的收敛性．所得结果统一和扩展了近期相关结果     

A Pinching Theorem for Minimal Submanifolds in Sphere

§１．ＩｎｔｒｏｄｕｃｔｉｏｎＬｅｔＭｂｅａｎｎ－ｄｉｍｅｎｓｉｏｎａｌｃｌｏｓｅｄｍｉｎｉｍａｌｙｉｍｍｅｒｓｅｄｓｕｂｍａｎｉｆｏｌｄｉｎｔｈｅｕｎｉｔｓｐｈｅｒｅＳｎ＋ｐ，Ｓｔｈｅｓｅｑｕｒｅｏｆｔｈｅｌｅｎｇｔｈｏｆｔｈｅｓｅｃｏｎｄｆｕｎｄ...     

Lie group structures on symmetry groups of principal bundles

In this paper we describe how one can obtain Lie group structures on the group of (vertical) bundle automorphisms for a locally convex principal bundle P over the compact manifold M. This is done by first considering Lie group structures on the group of vertical bundle automorphisms Gau(P). Then the full automorphism group Aut(P) is considered as an extension of the open subgroup DiffP(M) of diffeomorphisms of M preserving the equivalence class of P under pull-backs, by the gauge group Gau(P). We derive explicit conditions for the extensions of these Lie group structures, show the smoothness of some natural actions and relate our results to affine Kac-Moody algebras and groups.     

Mod p homology of the stable mapping class group

We calculate the homology of the mapping class group Γ_g,n in the stable range. The calculation is based on Madsen and Weiss’ proof of the “Generalised Mumford Conjecture”: Γ_g,n has the same homology as a component of the space in the stable range.     

拓扑向量空间中锥半连续性与锥拟凸映射

对于拓扑向量空间中的几个锥拟凸映射,讨论了它们之间的若干关系,同时,对锥半连续及锥上半连续映射的锥拟凸性给出了一些结果。     

不分明化sp-拓扑空间及范畴FSPTop的拓扑性

基于连续逻辑值语义,研究了不分明化sp-拓扑空间,讨论了不分明化的sp-开集,sp-邻域,sp-闭包及sp-内部等性质,给出了不分明化sp-连续映射的概念,引入了范畴FSPTop,证明了范畴FSPTop是范畴Set上的拓扑范畴。     

Images Réciproques D'ensembles Inévitables Par Les Applications Holomorphes De C Dans C

Unlike the one-dimensional case, when we deal with several complex variables, there exist entire one-to-one holomorphic maps with an identically equal to one jacobian, but with a non-dense range: the Fatou-Bieberbach maps (to simplify, we will call them Fatou-Bieberbach maps, even if there are not one-to-one). In Ref. [4], Gruman gave a sufficient density condition for a discrete set to be unavoidable and he constructed an explicit family of such sets $\{ E_a , a \in {\shadC} ^{*n} \} $ . Analogeously to Nevanlinna theory, he showed that the Fatou-Bieberbach maps intersect these sets with the same asymptotic frequency for a outside a pluripolar set. In the present paper, we generalise these estimates to any discrete set E verifying the sufficient density condition by giving a lower and an upper bound for the pre-image of E by a Fatou-Bieberbach map F in terms of the growth of the function.     

Experiments on a beam-rigid body structure repetitively impacting a rod

This paper investigates the experimental dynamics of a beam structure that supports an attached rigid body and that can impact a comparatively compliant base structure. The problem area is motivated by impact phenomena that are observed in certain structures internal to nuclear reactors. The assembly is subjected to base excitation at specified frequency and acceleration, and the resulting displacement and velocity time histories are recorded and used to obtain spectra, phase diagrams, and Poincaré sections. The measurements validate simulation results obtained by using a constraint and modal mapping method based on the two sets of modes when the structure is in-contact, and when it is not-in-contact. Generalized coordinates are mapped across the impact discontinuities in the modal representation. The forced response simulation predicts the test specimen’s response over a range of excitation frequencies. The specimens are fabricated as single integral structures from acrylnitrile butadene styrene plastic through rapid prototyping technology in order to eliminate the undesirable dissipation and flexibility arising from joints and connections. The experimental system can exhibit complex response characteristics, and the influences on complexity of deadband clearance and of asymmetry in the point of impact are examined in the experiments.     

对焦式着陆探测相机光学系统设计

根据深空探测任务中对着陆器相机要求宽探测范围的需求,设计了一种对焦结构可见/近红外相机光学系统.系统采用准远心光学结构,由前固定组和后对焦组组成,前固定组属于一个无焦系统,后对焦组放于固定组后,当对远近目标成像时,移动对焦组可在像面上获得清晰成像,并且不同距离的目标对焦过程中,系统的焦距不发生改变.实验测得系统焦距为50mm,F数为8,谱段范围为400~1 000nm,能实现探测范围从0.8m到无穷远目标的清晰成像;成像质量高,光学传递函数接近衍射极限,畸变优于1%.对光学系统的公差进行了分析,表明该光学系统公差在现有加工水平下均能保证良好的成像性能,具有工程可实现性.研究表明该光学系统可应用于月球、火星、小行星等深空探测中着陆器的中等焦距的立体测绘相机.