关于Kotzig猜测的一个结果

1974年Kotzig猜测:若k>2,则不存在这样的图,使得它任意两个顶点之间存在唯一的长度为k的路,本文证明了存在常数c,使对任意k>2,当图G的阶超过ck~2时,Kotzig猜测成立。     

科学发展观与中国特色科技发展道路

科学发展观是指导我国科技事业发展、走具有中国特色自主创新道路、建设创新型国家的科学理论。走中国特色的科技发展道路就是要把增强自主能力作为中国科技发展的战略基点,坚持以人为本,实施重点跨越、集成创新,做到竞争合作、开放共享,充分利用全球科技资源、加强引进消化吸收再创新,深化体制改革、建设国家创新体系。     

The tragedy of the canon; or,path dependence in the history and philosophy of science

We have previously argued that historical cases must be rendered canonical before they can plausibly serve as evidence for philosophical claims, where canonicity is established through a process of negotiation among historians and philosophers of science (Bolinska and Martin, 2020). Here, we extend this proposal by exploring how that negotiation might take place in practice. The working stock of historical examples that philosophers tend to employ has long been established informally, and, as a result, somewhat haphazardly. The composition of the historical canon of philosophy of science is therefore path dependent, and cases often become stock examples for reasons tangential to their appropriateness for the purposes at hand. We show how the lack of rigor around the canonization of case studies has muddied the waters in selected philosophical debates. This, in turn, lays the groundwork for proposing ways in which they can be improved.     

Feynman路径积分的拓扑计算

本文用代数拓扑计算了定轴转子和无限深方势阱的Feynman路径积分,分别给出了它们的本征波函数和能量本征值,所得结果与用其他方法得到的结果一致。     

树计划技术──工作分解结构进度计划模拟分析与优化

综合工作分解结构(WBS)概念、项目管理网络计划技术(CPM/PERT)、MonteCarlo模拟方法、直接搜索算法和计算机技术等, 本文创建一种新的项目管理技术─-项目管理树计划技术, 研讨活动树模型、时间参数算法、模拟寻优、项目进度计划优选等有关概念和方法。     

A Problem in Combinatorics

ＡＰｒｏｂｌｅｍｉｎＣｏｍｂｉｎａｔｏｒｉｃｓ￥ＨＵＪｉｕｒｅｎ（ＮａｎｋａｉＩｎｓｔｉｔｕｔｅｏｆＭａｔｈｅｍａｔｉｃｓＴｉａｎｊｉｎ３０００７１）Ａｂｓｔｒａｃｔ：Ｉｎｔｈｉｓｐａｐｅｒ，ｂｙｕｓｉｎｇａｎｏｖｅｌｍｅｔｈｏｄｏｆｇｒａｐｈ－ｃｏ...     

基于资源分配的MIS项目选择模型及其应用

本文论述了MIS项目选择问题的重要性, 对常用的MIS项目选择方法进行了综合分析。为克服常用方法的缺陷即无力解决具有资源约束的、多目标相互冲突且计量单位不可比的MIS项目选择问题, 本文提出了MIS项目选择的目标规划模型。最后, 本文以某公司的数据对模型进行了上机运行, 运行结果与应用常用方法所得结果比较表明, 目标规划法是MIS项目选择的较满意方法。     

单轴对称曲线新机构的研究

本文阐述了单轴对称曲线新机构的构成特点，分析了轨迹方程及其解析法。     

层次分析法在电源扩展规划中的应用

针对电力系统电源扩展规划中有大量的因素在数学模型中难以定量表述的困难,本文提出一个电力系统电源扩展规划的层次分析一般形式,并结合安徽省电力系统电源扩展规划给出了一个符合电力系统电源扩展规划实际的递阶层次结构模型。     

Least squares algorithms for constructing constrained ultrametric and additive tree representations of symmetric proximity data

A mathematical programming algorithm is developed for fitting ultrametric or additive trees to proximity data where external constraints are imposed on the topology of the tree. The two procedures minimize a least squares loss function. The method is illustrated on both synthetic and real data. A constrained ultrametric tree analysis was performed on similarities between 32 subjects based on preferences for ten odors, while a constrained additive tree analysis was carried out on some proximity data between kinship terms. Finally, some extensions of the methodology to other tree fitting procedures are mentioned.The first author is supported as Bevoegdverklaard Navorser of the Belgian Nationaal Fonds voor Wetenschappelijk Onderzoek.