A generalization of Heffter arrays

In this paper, we define a new class of partially filled arrays, called relative Heffter arrays, that are a generalization of the Heffter arrays introduced by Archdeacon in 2015. Let $v=2nk+t$ be a positive integer, where $t$ divides $2nk$, and let $J$ be the subgroup of ${\mathbb{Z}}_v$ of order $t$. A ${\mathrm{H}}_t\left(m,n;s,k\right)$ Heffter array over ${\mathbb{Z}}_v$ relative to $J$ is an $m\times n$ partially filled array with elements in ${\mathbb{Z}}_v$ such that (a) each row contains $s$ filled cells and each column contains $k$ filled cells; (b) for every $x\in {\mathbb{Z}}_v\backslash J$, either $x$ or $?x$ appears in the array; and (c) the elements in every row and column sum to $0$. Here we study the existence of square integer (i.e., with entries chosen in $\pm \left\{1,\text{…},?\frac{2nk+t}{2}?\right\}$ and where the sums are zero in $\mathbb{Z}$) relative Heffter arrays for $t=k$, denoted by ${\mathrm{H}}_k\left(n;k\right)$. In particular, we prove that for $3\le k\le n$, with $k\ne 5$, there exists an integer ${\mathrm{H}}_k\left(n;k\right)$ if and only if one of the following holds: (a) $k$ is odd and $n\equiv 0,3\left(\text{mod}4\right)$; (b) $k\equiv 2\left(\text{mod}4\right)$ and $n$ is even; (c) $k\equiv 0\left(\text{mod}4\right)$. Also, we show how these arrays give rise to cyclic cycle decompositions of the complete multipartite graph.     

制造业企业的股权结构对企业绩效影响的实证研究

股权结构是企业有效治理的基础,优化股权结构是提高企业绩效的关键.对此国内外学者进行了相关研究,但结果并不一致.在综合考虑了企业的生命周期和行业性质的前提下,探讨了股权结构对企业绩效的影响,选取制造业行业1190家企业2012-2015年的相关变量数据,首先采用主成分综合得分法计算出企业绩效,之后选用现金流组合法按照各自所处的生命周期对企业进行分类,最后在各时期内分别构建回归模型来分析股权结构对企业绩效的作用,并进行了模型验证.股权集中度对企业绩效的影响分为三类：处于导入期、成熟期和淘汰期的企业影响关系呈正U型,处于增长期的企业与其绩效显著负相关,衰退期企业的影响并不显著.股权制衡度对企业绩效的影响分为两类：处于成熟期、淘汰期的企业影响关系呈倒U型,导入期、增长期、衰退期影响则不显著.     

凸概率密度分布簇下的多损失鲁棒优化等价模型及在直营连锁企业中的应用

首先,证明了凸概率密度分布簇的单周期期望均值下单损失鲁棒优化等价模型定理,以及凸概率密度分布簇的单周期期望均值下多损失鲁棒优化等价模型。然后,提出了直营连锁企业的产品在凸概率密度分布簇下的期望均值的单周期生产分配供应问题,建立了直营连锁企业的单周期生产分配供应期望均值鲁棒模型,在获得近似周期概率分布簇情形下给出了单周期生产分配供应鲁棒模型,这种近似鲁棒模型等价于一个线性规划问题。最后,通过已知一个产品的4个周期构成的混合分布簇进行了数值实验,数值结果表明了期望均值准则下的生产分配供应鲁棒模型的生产分配供应策略更加稳健。     

Coexistence of the chaos and the periodic solutions in planar fluid flows

This paper discusses the dynamic behavior of the Kelvin-Stuart cat’s eye flow underperiodic perturbations.By means of the Melnikov method the conditions to havebifurcations to subharmonics of even order for the oscillating orbits and to have bifurcationsto subharmonics of any order for the rotating orbits are given,and further,the coexistencephenomena of the chaotic motions and periodic solutions are presented.     

模拟火箭引射混合特性的实验研究

专门设计了可用于研究箭基组合循环发动机(RBCC)在起动阶段(Ma=0)所使用的引射火箭性能的实验装置. 作为初步试验,研究了不同工况的引射热喷流(一次流)和被引射空气(二次流)之间混合的演变、发展过程,找出不同来流条件下影响引射性能的主要参数,为最终探明引射火箭的最佳工作条件打下基础,同时根据试验结果提出了促进一、二次流混合的可行方案,便于下一步深入研究.     

摩擦学在生命周期评价与设计中的作用

通过对生命周期评价与设计进行概括介绍 ,说明了生命周期评价的一般过程和生命周期设计的基本思想 ;同时将其与摩擦学研究对象和任务相结合 ,探讨了摩擦学在生命周期评价和生命周期设计中的作用     

Détermination de la réponse asymptotique d'une structure anélastique sous chargement thermomécanique cycliqueDetermination of the asymptotic response of a structure under cyclic thermomechanical loading

A method for the solution of cyclic thermomechanical nonlinear problems is presented: it is a Direct Cyclic Method which is an alternative approach to classical methods. It consists in directly seeking the asymptotic response of an inelastic structure subjected to a periodic thermomechanical loading without following the loading path. It is based on the Large Time Increment Method, the periodicity of the limit state and the Fourier transform. To cite this article: M.H. Maitournam et al., C. R. Mecanique 330 (2002) 703–708.