On Groups with Finitely Many Conradian Orderings

We study the space of left-orderings on groups with (only) finitely many Conradian orderings. We show that, within this class of groups, having an isolated left-ordering is equivalent to having finitely many left-orderings.     

Space tests of relativistic gravity with precision clocks and atom interferometers

Precision clocks and interferometers in space can test relativistic gravity with extremely high sensitivity. Yet, only a single such test has been performed, namely the celebrated flight of a hydrogen maser in a sub-orbital trajectory in 1976 (GP-A mission). This paper suggests some of the obstacles to space flight of precision instruments, and describes how the emergence of new technology might offer a pathway for removing those obstacles. A brief review of emerging technologies is made, and new mission concepts based on them are described. Some of the technologies that can impact more tests of relativistic gravity in space at a more distant future are also described.     

局部Z-空间和Z-连续空间

对于一般广义子集系统Z,引入了局部Z-空间和Z-连续空间的概念,讨论了局部Z-空间的基本性质;基于收敛网,给出了局部Z-空间的等价刻画,证明了X为Z-连续空间当且仅当X为局部Z-空间。     

空间相机中变形镜的结构设计

设计了一种适用于空间环境的变形镜装置,以校正高分辨率空间相机中大口径主反射镜的波像差.讨论了空间相机用变形镜的设计准则,确定了该变形镜的结构形式;给出了具体的结构组成和材料组合,并设计了柔性结构.仿真结果表明,该结构在z向重力工况下RMS值仅17.2nm,4℃温升时的RMS值仅为3.7nm,且一阶频率为1 015Hz,各模拟空间工况下的反射面经主动展平后,均可获得近似的标准平面;该结构能够较准确地拟合前36项泽尼克多项式所对应的基元波面,残留误差较小,不仅具有良好的力学性能和热稳定性,还能保证变形镜的像差校正能力得到充分发挥,从而满足空间相机的使用需求.     

大气湍流对空间目标偏振成像探测的影响

为研究大气湍流对空间目标偏振成像探测准确度的影响,构建了大气湍流影响下的偏振成像探测模型,并对大气湍流导致的空间目标偏振度探测偏差进行仿真分析.通过对分时和同时偏振成像方式进行仿真,发现大气湍流会对空间目标偏振成像探测准确度造成明显影响,且对分时偏振成像探测准确度的影响明显大于同时偏振成像方式.通过自适应系统校正部分低阶像差,能明显减小大气湍流对偏振成像探测准确度的影响.为了兼顾图像信噪比和大气湍流影响下的偏振成像探测准确度,给出了一种结合分时和同时成像方式的改进偏振成像探测方式,大气湍流对其的影响略大于同时偏振成像方式,但该方式图像信噪比明显优于同时偏振成像方法.另外仿真分析发现,采用多帧图像叠加能效减小大气湍流带来的空间目标偏振成像探测偏差,在使用分时偏振成像方式时效果尤为明显.     

The Fatou property in p-convex Banach lattices

New features of the Banach function space , that is, the space of all ν-scalarly pth power integrable functions (with 1?p<∞ and ν any vector measure), are presented. The Fatou property plays an essential role and leads to a new representation theorem for a large class of abstract p-convex Banach lattices.     

A minimal Cantor set in the space of 3-generated groups

We construct and study a family of 3-generated groups parametrized by infinite binary sequences w. We show that two groups of the family are isomorphic if and only if the sequences are cofinal and that two groups cannot be distinguished by finite sets of relations. We show a connection of the family with 2-dimensional holomorphic dynamics.