On the numerical radius of Lipschitz operators in Banach spaces

We study the numerical radius of Lipschitz operators on Banach spaces via the Lipschitz numerical index, which is an analogue of the numerical index in Banach space theory. We give a characterization of the numerical radius and obtain a necessary and sufficient condition for Banach spaces to have Lipschitz numerical index 1. As an application, we show that real lush spaces and C  -rich subspaces have Lipschitz numerical index 1. Moreover, using the Gâteaux differentiability of Lipschitz operators, we characterize the Lipschitz numerical index of separable Banach spaces with the RNP. Finally, we prove that the Lipschitz numerical index has the stability properties for the _c0$c_0$-, _l1$l_1$-, and _l∞$l_{\infty }$-sums of spaces and vector-valued function spaces. From this, we show that the C(K)$C(K)$ spaces, _L1(μ)$L_1(\mu )$-spaces and _L∞(ν)$L_{\infty }(\nu )$-spaces have Lipschitz numerical index 1.     

大视角彩虹全息新设计

用光纤制成的光束变换元件代替大孔径透镜和狭缝拍摄彩虹全息图,大大提高了全息图的视角,而且方法简单.本文介绍了用光纤光束变换器的摄大视角彩虹全息图的原理、方法,并进行了实验验证,收到了较为满意的效果.     

电解质溶液组成对低分子量阴离子毛细管电泳分离的影响

研究了毛细管电泳间接紫外检测法测定低分子量阴离子时电解质溶液中背景电解质、电渗流改性剂、ｐＨ值、有机溶剂等对分离的影响；比较了铬酸根、邻苯二甲酸根、苯甲酸根３种背景离子对不同迁移率阴离子分离的影响，并对间接紫外检测的定量基础及灵敏度进行了讨论；考察了３种不同长链烷基三甲基季铵盐电渗流改性剂浓度对阴离子迁移时间和电渗迁移率的影响，结果表明电渗流的改性效果与烷基链的长度有关；ｐＨ影响阴离子的有效迁移率     

SINS／GPS组合导航系统机载样机的工程研制

本文介绍了ＳＩＮＳ／ＧＰＳ组合系统机载样机的工程研制及车载试验。采用经过小型化的捷联惯导系统与美国ＴＲＩＭＢＬＥ公司生产的６通道ＴＡＮＳⅡＧＰＳ接收机进行组合。捷联惯导系统软件与组合导航系统卡尔曼滤波器计算软件共用一个机载计算机，组合系统采用１２阶线性卡尔曼滤波器，并对卡尔曼滤波器的递推算法进行了工程化的处理，使滤波器的计算速度大为提高。最后，给出了组合系统的实验室静态试验及外场车载试验结果。     

激光对火焰的诊断 Ⅰ. 激光诱导荧光法对火焰温度分布的测量

用激光诱导荧光法对锥形液化石油气/空气火焰中的OH(X ~2n)基的转动温度分布进行测量, 获得了在火焰纵断面上的二维等温图。     

Experimental study on oblique water entry of two tandem spheres with collision effect

Journal of Visualization - In this paper, the hydrodynamic characteristics associated with oblique water entry of two tandem spheres were experimentally investigated using high-speed photography....     

激光对火焰的诊断Ⅱ. 激光诱导荧光法对液化石油气/空气火焰中的OH基浓度二维分布的检测

通过部份预混的富燃料液化石油气/空气火焰中各部份的OH(A~(2∑~+)←→X ~(2Π))的激光诱导荧光信号进行逐点检测, 获得了OH(X)基在火焰中央纵剖面上精细的二维等浓度线图。OH(X)在外焰边缘上分布最浓, 是自内向外扩散的H原子与O原子相遇而引起反应的结果。同时一部份OH(A)基的生成, 发出了紫外的A→X化学发光, 形成了外焰的轮廓。     

导向的过渡金属催化不活泼C(sp~3)-H键氧化反应研究进展

近年来,过渡金属催化不活泼C(sp3)—H键氧化反应取得重要进展.该领域的研究主要集中在过渡金属催化甲烷选择性氧化,以及过渡金属催化导向基团螯合甲基氧化方面,这些研究成果实现了许多传统氧化方法不能完成的高效选择性转化.重点概述导向基团(肟、噁唑啉、吡啶、酰胺、羧酸、羟基)对促进过渡金属催化氧化C(sp3)—H键的影响,底物的乙酰氧基化、羟基化、羰基化、酯化反应以及催化反应体系和相关机制.     

Mappings of preserving <Emphasis Type="Italic">n</Emphasis>-distance one in <Emphasis Type="Italic">n</Emphasis>-normed spaces

We give a positive answer to the Aleksandrov problem in n-normed spaces under the surjectivity assumption. Namely, we show that every surjective mapping preserving n-distance one is affine, and thus is an n-isometry. This is the first time the Aleksandrov problem is solved in n-normed spaces with only the surjectivity assumption even in the usual case \(n=2\). Finally, when the target space is n-strictly convex, we prove that every mapping preserving two n-distances with an integer ratio is an affine n-isometry.