Jordan–Cattaneo waves: Analogues of compressible flow

We review work of Jordan on a hyperbolic variant of the Fisher–KPP equation, where a shock solution is found and the amplitude is calculated exactly. The Jordan procedure is extended to a hyperbolic variant of the Chafee–Infante equation. Extension of Jordan’s ideas to a model for traffic flow are also mentioned. We also examine a diffusive susceptible–infected (SI) model, and generalizations of diffusive Lotka–Volterra equations, including a Lotka–Volterra–Bass competition model with diffusion. For all cases we show how a Jordan–Cattaneo wave may be analysed and we indicate how to find the wavespeeds and the amplitudes. Finally we present details of a fully nonlinear analysis of acceleration waves in a Cattaneo–Christov poroacoustic model.     

模糊AHP在电网企业员工岗前培训评估中的应用

电网企业技术密集、人员众多、架构庞大,员工岗前培训与企业健康持续发展密不可分.培训工作中最突出的问题在于对培训效果缺乏合理的评估,从而无法了解企业投资的效果,以及培训对组织的贡献.以柯氏培训四级评估模型为基础,采用模糊AHP规范化整个评估过程.最后以电力企业进行的培训项目为例验证分析,证明所提算法的有效性.     

基于区间直觉模糊不确定语言的中小企业电子商务网站建设决策方法研究

阐述中小企业在整个国民经济中的重要地位,指出电子商务对于中小企业具有天然的适应性和可行的推广性.揭示研究对象中蕴含着广泛的模糊性,应用区间直觉模糊不确定语言的必要性.介绍区间直觉模糊不确定语言的基本概念、基本运算、算术平均和加权平均、距离、期望函数、精度函数、期望函数值、精度函数值以及对象比较方法等内容.提出区间直觉模糊不确定语言决策步骤:设定方案集、指标集、专家集,确定评判矩阵,确定指标权重,计算加权平均,计算期望函数、精度函数,期望函数值、精度函数值,进行排序.以盛东商贸有限公司电子商务网站设计方案测评为例,碍出方案3优于方案2优于方案5优于方案1优于方案4的结论.     

带有时滞的非定常企业投资系统的Lyapunov稳定性

讨论了企业投资系统的Lyapunov稳定性,得到了企业投资系统渐进稳定的充分条件和稳定的必要条件,并给出了企业投资系统的临界积累率的表达式,这个问题的研究对于促进我国经济高速、稳定持续增长具有重要的理论意义和现实指导价值.     

Competition between halogen bond and hydrogen bond in complexes of superalkali Li3S and halogenated acetylene XCCH (X = F,Cl, Br,and I)

Complexes of superalkali Li₃S and XCCH (X = F, Cl, Br, and I) have been studied with theoretical calculations at the MP2/aug‐cc‐pVTZ level. Three types of structures are found: (A) the X atom combines with the S atom through a halogen bond; (B) the X atom interacts with the π electron of Li₃S by a π halogen bond; (C) the H atom combines with the S atom through a hydrogen bond. For A and B, a heavier halogen atom makes the interaction stronger, while for C, the change of interaction energy is not obvious, showing a small dependence on the nature of the X atom in HCCX. A is more stable than B and their difference in stability decreases as X varies from Cl to I. For the F and Cl complexes, A is weaker than C, however, the former is stronger than the latter in the Br and I complexes. The above three types of interactions have been analyzed by means of electron localization function, electron density difference, and energy decomposition, and the results show that they have similar nature and features with conventional interactions. © 2014 Wiley Periodicals, Inc.     

以联席会和竞赛为载体构建实验教学改革交流的新平台——浙江省高校化学化工实验教学中心主任联席会暨化学学科(实验)竞赛10周年回顾

介绍成立浙江省高校化学化工实验教学中心联席会(以下简称:联席会)、举办化学学科(实验)竞赛的背景及发展情况。以联席会和竞赛为载体,建立了全省实验教学研究与改革的交流平台,扩大了实验教学示范中心的影响力和辐射面,推动了实验室建设、课程建设以及人才培养等各项工作,取得了丰硕的教学成果。     

政府补贴、国企国有化系数与中国企业的产能过剩

近年来中国产能过剩日益严重,化解该矛盾已成为十八大后中国推进经济体制改革、调整产业结构的重中之重.考虑中国国情,从微观层面出发,构建混合寡占竞争模型,能有效解决产能过剩.分析表明:1政府调整对国有企业的补贴以及国有企业国有化系数可以有效解决民营企业的产能过剩问题;2在中国的现状下,国有企业确实存在产能过剩,并且减少政府对国有企业的补贴以及调整国有企业国有化系数可以有效减少国有企业的产能过剩量.     

文化创意企业视角的长三角城市网络演变特征

运用社会网络与位序-规模法分析长江三角洲地区16市上市类文化创意企业的母-子公司数据信息, 揭示文化创意企业集聚视角长三角城市网络结构及其演变特征. 研究发现: (1) 2005~2015年, 长三角地区文化创意企业上市公司总部数量逐年增加, 公司总部多设立于上海、杭州、苏州以及南京4地; (2)传媒类和软件及计算机类企业多分布于传统区域, 设计咨询类企业生产网络中, 存在传统非核心城市跃升为区域核心城市的现象; (3)上市公司生产网络结构逐渐复杂, 多中心及新核心相继出现, 且生产网络中城市位序有变动趋势, 文化创意产业空间动态正形塑城市体系结构. 为此, 建议长三角文化创意企业发展中应加强企业母子间的联系强度, 促进城市创意流动网络化, 有望推进长三角创意源-流形塑创意城市群新体系.     

Extinction time and the total mass of the continuous-state branching processes with competition

Consider a general continuous-state branching process with additional interaction, which destroys the branching property. We give precise conditions on the interaction term, in order to decide whether the extinction time of the process remains or not bounded as the initial value tends to infinity, and similarly for the total mass of the process.     

A sufficient condition for stability using slopes of isoclines in planar mappings

Coupled planar maps are often parameter dependent, with the stability of their fixed points depending on the values of the parameters chosen. As the magnitude of the eigenvalues is difficult to determine when the number of parameters is large, one commonly uses instead the Jury conditions for the Jacobian, but even this can present difficulties. In this paper, we will show a simpler sufficient criteria for local asymptotic stability that follows by comparing slopes of isoclines.