二部图的(g,f)匹配

本文证明了二部图存在(g,f)匹配和f 因子的充要条件以及有关的几个结果,并且给出了求二部图的最大(g,f)匹配、最小(g,f)匹配和最小权最大f 匹配、最小权(g,f)匹配、最大权(g,f)匹配的算法。     

Theoretical calculation and experimental study on the interaction mechanism between TKX-50 and AP

The combination of 5,5′-bistetrazole-1,1′-diolate (TKX-50) and ammonium perchlorate (AP) can make greater use of the chemical energy of TKX-50 based energetic materials. The research on the interaction mechanism between TKX-50 and AP is very important for designing TKX-50-AP compounds and judging the formation feasibility of composite particles, which can lay a theoretical foundation for the preparation of TKX-50-AP mixed crystals and the application of TKX-50 in propellant, propellant and explosive. Herein, in order to research the interaction mechanism between TKX-50 and AP, density-functional theory calculation was applied to optimize three configurations of TKX-50-AP compounds. The geometry structure, electrostatic potential and binding energy of the compounds were predicted, and the electronic density topological analysis was also carried out. Then TKX-50-AP mixed crystals structures were constructed, and the radial distribution function of H–O and H–N in mixed crystals was calculated. Finally, solvent/non-solvent method was applied to prepare TKX-50-AP composites, and the infrared spectroscopy and the non-isothermal decomposition performance of the composites were characterized. Results show that the superposition of positive charges in TKX-50 molecule and negative charges in AP makes the electrostatic potential distributions of TKX-50-AP compounds different from that of TKX-50 and AP. The interaction energies of TKX-50-AP 1, TKX-50-AP 2 and TKX-50-AP 3 are 39.743 kJ/mol, 61.206 kJ/mol and 27.702 kJ/mol, respectively. The interaction between TKX-50 molecules and AP molecules in TKX-50-AP mixed crystals both depends on hydrogen bonds and van der Waals force, and the number and strength of hydrogen bonds are significantly greater than that of van der Waals force. The composition of AP and TKX-50 makes the absorption peak of the five-membered rings and NH₃OH⁺ of TKX-50 shift to low wavenumber in the infrared spectroscopy. In general, TKX-50 interacts with AP via hydrogen bonds and van der Waals force, and the calculated results are in good agreement with the experimental results. The composition of TKX-50 and AP can also prolong the decomposition process.     

The stability of the nuclear nonproliferation norm: a critique of norm-contestation theory

This article argues that the nuclear nonproliferation norm (NNPN) is a social fact with a relatively independent life of its own and that it has a powerful impact on the behavior of both nuclear-weapon states (NWS) and non-nuclear-weapon states (NNWS). It challenges the application of critical constructivist research on norms to the NNPN and the idea that its legitimacy and structural power depend on contestation “all the way down.” State and non-state actors play an important role in explaining the dynamics of the NNPN, but agential constructivism runs the danger of “throwing the baby out with the bath water,” neglecting the structural impact of the NNPN on state behavior. The article examines the limitations of norm-contestation theory, arguing that some norms are more resistant to contestation than others. The NNPN is more difficult to contest than new norms (such as the Responsibility to Protect) because it is rooted in fifty years of nonproliferation nuclear diplomacy. The US-India nuclear deal is not a case of “norm change” but a violation of the NNPN. The “core” of the NNPN has not changed since the US-India nuclear deal. The conflict confronting NWS and NNWS is about the implementation of “type 2” norms (organizing principles) and “type 3” norms (standardized procedures), and not about the “hard core” of the NNPN.     

Constant risk aversion in stochastic contests with exponential completion times

This article analyzes a class of stochastic contests among multiple players under risk‐averse exponential utility. In these contests, players compete over the completion of a task by simultaneously deciding on their investment, which determines how fast they complete the task. The completion time of the task for each player is assumed to be an exponentially distributed random variable with rate linear in the player's investment and the completion times of different players are assumed to be stochastically independent. The player that completes the task first earns a prize whereas the remaining players earn nothing. The article establishes a one‐to‐one correspondence between the Nash equilibrium of this contest with respect to risk‐averse exponential utilities and the nonnegative solution of a nonlinear equation. Using the properties of the latter, it proves the existence and the uniqueness of the Nash equilibrium, and provides an efficient method to compute it. It exploits the resulting representation of the equilibrium investments to determine the effects of risk aversion and the differences between the outcome of the Nash equilibrium and that of a centralized version.© 2016 Wiley Periodicals, Inc. Naval Research Logistics 66:4–14, 2019     

基于博弈论的C~4ISR系统监视与侦察功能模型

监视与侦察已成为现代C4ISR系统的重要组成部分,传统的监视与侦察系统效能分析方法存在模型难以建立、结果不准确等问题,很难量化其与作战效果之间的影响。在对基于Lanchester方程的C4ISR系统建模方法进行研究的基础上,提出了反映监视与侦察功能的Lanchester方程模型,并引入博弈论分析了战场上信息的不对称对交战结果的影响,克服了描述C4ISR系统的Lanchester方程没有考虑作战单元、对手和环境间的动态交互以及数学结构简单的缺点。仿真结果验证了模型的有效性。     

Path optimization for the resource‐constrained searcher

We formulate and solve a discrete‐time path‐optimization problem where a single searcher, operating in a discretized three‐dimensional airspace, looks for a moving target in a finite set of cells. The searcher is constrained by maximum limits on the consumption of one or more resources such as time, fuel, and risk along any path. We develop a specialized branch‐and‐bound algorithm for this problem that uses several network reduction procedures as well as a new bounding technique based on Lagrangian relaxation and network expansion. The resulting algorithm outperforms a state‐of‐the‐art algorithm for solving time‐constrained problems and also is the first algorithm to solve multi‐constrained problems. © 2010 Wiley Periodicals, Inc. Naval Research Logistics, 2010     

单航天器无需变轨与Walker星座多星交会的充分条件及特性分析

以Walker星座为研究对象,对单航天器无需变轨实现多星交会的问题展开研究。从Walker星座相位同构特性出发,得到了单航天器无需变轨能够对多颗星座卫星交会的充分条件,对交会的星座卫星的数目和星座卫星组合等问题进行了研究。在此基础上,提出了利用解析法求解交会轨道的轨道设计方法,并对交会轨道的特性进行了分析。对交会更多星座卫星(大于3颗)的可能性展开了讨论。研究结果可为单航天器无需变轨对星座多星交会提供理论依据。     

两种捆绑火箭弹性振动建模方法对比分析及其对姿控系统的影响

针对长助推和短助推两种类型捆绑火箭的不同模态特点,分析了两者弹性振动建模方法的区别和联系,在此基础上建立了某型固体捆绑火箭姿态动力学新模型,模型中基于有限元法导出了弹性振动方程,基于该模型对箭体复杂弹性振动引起的通道间耦合进行了研究,采用逆Nyquist阵列法进行设计。结果表明,该模型能更准确地反映捆绑火箭纵、横、扭耦合运动特性;新模型三通道之间存在弹性耦合,但耦合矩阵具有对角优势性质,采用逆Nyquist阵列法进行姿控系统设计是有效的,仿真结果表明设计的控制器可行,能够取得比较好的性能。     

论石鲁根植于传统文化的中国画绘画笔墨辨证观

以中国传统文化思想为切入点,从墨色关系、虚实关系和“多少、繁简”关系三个方面探讨石鲁中国画画论中的笔墨观,得出石鲁的笔墨观不但根植于中国传统文化,又融合了唯物辨证法思想和二十世纪中国绘画新成果．由微见著说明石鲁的中国画绘画思想来源于中国传统文化与唯物辨证法及现代绘酒成果的结合。     

社区体育开展的理论依据与现状

社区体育发展理论与实践不仅关系到人们身体健康大事,更关系到和谐社会的大事。随着我国城市化进程的加快,我国社区体育无论从理论还是实践都有较大的发展,但还有许多不足之处,正确认识我国社区体育现状有利于其更加健康的发展。