Potts models with magnetic field: Arithmetic,geometry, and computation

We give a sheaf theoretic interpretation of Potts models with external magnetic field, in terms of constructible sheaves and their Euler characteristics. We show that the polynomial countability question for the hypersurfaces defined by the vanishing of the partition function is affected by changes in the magnetic field: elementary examples suffice to see non-polynomially countable cases that become polynomially countable after a perturbation of the magnetic field. The same recursive formula for the Grothendieck classes, under edge-doubling operations, holds as in the case without magnetic field, but the closed formulae for specific examples like banana graphs differ in the presence of magnetic field. We give examples of computation of the Euler characteristic with compact support, for the set of real zeros, and find a similar exponential growth with the size of the graph. This can be viewed as a measure of topological and algorithmic complexity. We also consider the computational complexity question for evaluations of the polynomial, and show both tractable and NP-hard examples, using dynamic programming.     

The effects of resource limitation and consensual incentives on cooperation

Exploring the evolution of cooperation has been one of the most challenging topics and attracted increasing attention in various realms. Hereby, we institute an analytic model where the relationship between the common benefits and contributions is the typical saturation nonlinearity. We investigate the evolutionary dynamics of cooperation with and without consensual incentives respectively. The population always evolves to full defection when the incentives are absent. Cooperation, however, can be promoted by consensual incentives when the degree of cooperators' preferences for incentives is great. There exists an intermediate amount of resources at which the positive effect of consensual incentives on cooperation is minimized. Furthermore, there is a U-shape relationship between the degree of cooperators' preference for an incentive and the evolution of cooperation. A greater basin of full cooperation can be induced when the cooperators' preference for reward is more pronounced than that for punishment.     

基于ESI的湖北省高校科技竞争力评价

基于ESI数据库，选取湖北省高校作为研究对象，分析各高校论文发表数量、被引情况、世界排名等，以期通过科技竞争力的研究，了解湖北省高校的整体实力，为决策者提供决策依据，提升湖北省高校的整体科研水平。     

Norbornene derivatives from a metal‐free,strain‐promoted cycloaddition reaction: New building blocks for ring‐opening metathesis polymerization reactions

The preparation of new ring opening metathesis polymerization (ROMP) monomers using a 1,3‐dipolar cycloaddition between aryl azides and norbornadiene is described. Various norbornenetriazolines, obtained through a solvent‐and catalyst‐free reaction, can subsequently be incorporated into polymer backbones through ROMP reactions. Furthermore, thermal decomposition of the triazoline moiety can allow for further polymer functionalization. © 2015 Wiley Periodicals, Inc. J. Polym. Sci., Part A: Polym. Chem. 2015 , 53, 2357–2362     

国家层面创新能力的评价

 综述了创新、创新监测与评价的研究进展，辨析了国家创新能力、创新型国家和科技强国的内涵特征，分析了中国创新能力在世界上的相对位置，探讨了建设科技强国的经验及启示。     

基于炉灶热量回收的吸热装置设计

设计了一种基于炉灶热量回收的吸热装置。该装置通过将导热性能及焊接性能优良的无氧紫铜管与炉灶支架焊接成一个整体,近距离吸收炉灶火焰四周散失的热量,利用火焰散失的热量给生活用水加热,将生成的热水供日常生活使用;对出水装置进行改良,使其与加热装置形成循环结构,达到对整个系统进行保护的目的。本装置提高了对能源的利用率,减少了能源消耗,达到节能的目的。     

塔东热液地质作用机制及对储层的改造意义

塔东地区断裂发育，早期发育的断裂与晚期断裂之间存在相互改造、叠加、复合的过程，深大断裂沟通多套地层，断裂活动期形成的挤压破碎带和断裂裂缝带作为岩浆热液上升通道，为热液溶蚀作用改造储层提供了有利条件，因此，识别出热液期次对塔东白云岩储层成因机制具有重要意义。通过对钻井岩芯、岩屑及岩石薄片、铸体薄片观察鉴定分析，在区内下古生界碳酸盐岩中识别和发现了钠长石化作用和自生羽毛状伊利石沉淀，也是塔里木盆地内的首次发现，并通过对包裹体均一温度，碳氧同位素等地化特征研究，揭示其成岩流体源于岩浆热液，丰富了区内热液作用的矿物学标志，进一步识别出区内存在3期热液作用，通过对3期热液作用的机制及其储渗空间意义的研究，总结出第I期热液作用对于储层形成意义不大，第Ⅱ期热液作用主要发育在局限的沉积环境，第Ⅲ期热液溶蚀形成溶蚀缝孔洞，与天然气运移聚集匹配良好，构成了区内天然气聚集成藏的主要储渗空间。     

基于DIS数字信息化系统对透光物质透光性能的研究

采用DIS数字信息化系统,对不同浓度的蓝墨水溶液在激光光源照射下的透射平均照度及照度分布图像进行实验研究,得到了平均照度值随溶液浓度变化的规律。对不同颜色塑料膜片对白炽灯光源透过照度值及照度分布图像进行实验研究得到及其相关之规律。