Mobility of water molecules in Li+, Na+ and Cs+ ionic forms of Nafion membrane studied by NMR

Correlation times and diffusion coefficients of water molecules were measured for the first time by ¹H spin relaxation and pulsed field gradient NMR in Li⁺, Na⁺ and Cs⁺ ionic forms of Nafion 117 membrane. Hydration numbers of Li⁺, Na⁺ and Cs⁺ cations were calculated. It was shown that at high humidity macroscopic transfer is controlled by the local translational motion of water molecules.     

A branch-and-bound method for the minimum k−enclosing ball problem

The minimum k-enclosing ball problem seeks the ball with smallest radius that contains at least k of m given points. This problem is NP-hard. We present a branch-and-bound algorithm on the tree of the subsets of k points to solve this problem. Our method is able to solve the problem exactly in a short amount of time for small and medium sized datasets.     

视觉搜索中图标布局的影响机理

采用视觉搜索范式，研究图标视觉特征及数量变化对图标布局认知绩效的影响.实验表明，当图标数量N=6时，仅图标视觉特征主效应显著，布局方式对搜索速度无显著影响，图标视觉特征是认知绩效的主要影响因素;当图标数量N=15时，仅图标布局方式主效应显著，横向排列搜索速度最快.通过图标数量的连续性变化实验发现，图标数量超过10个，横向排列反应时显著低于纵向排列，两者错误率无显著差异;随着图形面板 L_○长度 / S_○宽度比值的降低，两者平均反应时差距逐渐缩小，趋于一致.研究表明，图标数量的变化对布局方式和视觉特征的认知绩效产生显著影响.     

基于差异信息量的多源数据融合方法

D-S证据理论可应用于多源数据融合领域，但在处理高度冲突的证据时，可能会出现反直觉的结果.为解决这一问题，本文提出了差异信息量的概念及融合方法.首先，通过信息熵表明证据的相对重要性，采用散度获取证据可信度.然后利用证据可信度优化证据差异度以得到差异信息量，经过计算获取数据的最终权重，并将其作为D-S证据理论中的基本概率分配进行决策.在处理冲突证据、一致证据及不同数量证据等方面的数据融合问题时与其他方法对比，所提方法收敛更快，准确度更高.故障诊断的应用实例表明，所提方法的不确定性更小，优于现存的其他方法.     

Maximal Subrings and Covering Numbers of Finite Semisimple Rings

We classify the maximal subrings of the ring of n×n matrices over a finite field, and show that these subrings may be divided into three types. We also describe all of the maximal subrings of a finite semisimple ring, and categorize them into two classes. As an application of these results, we calculate the covering number of a finite semisimple ring.     

Sufficient Conditions for a Digraph to be Supereulerian

A (di)graph is supereulerian if it contains a spanning eulerian sub(di)graph. This property is a relaxation of hamiltonicity. Inspired by this analogy with hamiltonian cycles and by similar results in supereulerian graph theory, we analyze a number of sufficient Ore type conditions for a digraph to be supereulerian. Furthermore, we study the following conjecture due to Thomassé and the first author: if the arc‐connectivity of a digraph is not smaller than its independence number, then the digraph is supereulerian. As a support for this conjecture we prove it for digraphs that are semicomplete multipartite or quasitransitive and verify the analogous statement for undirected graphs.     

厦门小微企业知识产权托管治理的问题及对策

厦门市知识产权托管工作已由政府单向管理向以政府为主引导，企业、服务机构、行业协会、产业园区以及自贸区等载体参与其中的多元治理体系转变，并取得了良好的成效。但存在顶层设计缺失、托管机构服务能力不足、行业协会作用发挥不充分、氛围营造不够等问题。厦门市应通过加强监管力度、提高小微企业参与托管的意识、提升托管机构的服务能力、激励行业协会发挥作用、加强宣传等措施，进一步完善多元共治的治理体系，提升小微企业知识产权托管治理效能。