建设用地的扩张对我国非农经济增长贡献研究

土地要素对经济增长的贡献,由于其供给缺乏弹性而常被定量研究所忽略。文章通过分析土地要素对经济增长的作用,提出在定量研究土地要素的贡献时,应使用代表土地承载空间大小的建筑面积数据。文章构建了相对建筑面积估计模型,并使用资本和劳动力数据实际估算了我国建设用地相对建筑的面积,并利用超越对数生产函数形式实际估算了我国建设用地对非农经济增长的贡献。研究发现:我国28个省级单位建设用地面积扩大在2003-2008年对非农经济增长平均贡献率为2.88%,而代表土地利用强度的相对容积率的增长对经济增长的贡献率为8.79%。建设用地对非农经济增长的总贡献为11.81%。     

Conformally Invariant Operators,Differential Forms,Cohomology and a Generalisation of Q-Curvature

On conformal manifolds of even dimension n ≥ 4 we construct a family of new conformally invariant differential complexes, each containing one coboundary operator of order greater than 1. Each bundle in each of these complexes appears either in the de Rham complex or in its dual (which is a different complex in the non-orientable case). Each of the new complexes is elliptic in case the conformal structure has Riemannian signature. We also construct gauge companion operators which (for differential forms of order k ≤ n/2) complete the exterior derivative to a conformally invariant and (in the case of Riemannian signature) elliptically coercive system. These (operator, gauge) pairs are used to define finite dimensional conformally stable form subspaces which are are candidates for spaces of conformal harmonics. This generalizes the n/2-form and 0-form cases, in which the harmonics are given by conformally invariant systems. These constructions are based on a family of operators on closed forms which generalize in a natural way Branson's Q-curvature. We give a universal construction of these new operators and show that they yield new conformally invariant global pairings between differential form bundles. Finally we give a geometric construction of a family of conformally invariant differential operators between density-valued differential form bundles and develop their properties (including their ellipticity type in the case of definite conformal signature). The construction is based on the ambient metric of Fefferman and Graham, and its relationship to the tractor bundles for the Cartan normal conformal connection. For each form order, our derivation yields an operator of every even order in odd dimensions, and even order operators up to order n in even dimension n. In the case of unweighted (or true) forms as domain, these operators are the natural form analogues of the critical order conformal Laplacian of Graham et al., and are key ingredients in the new differential complexes mentioned above.     

Stability in Probability of Nonlinear Stochastic Volterra Difference Equations with Continuous Variable

Abstract

The general method of Lyapunov functionals construction, that was proposed by Kolmanovskii and Shaikhet and successfully used already for functional-differential equations, difference equations with discrete time, difference equations with continuous time, and is used here to investigate the stability in probability of nonlinear stochastic Volterra difference equations with continuous time. It is shown that the investigation of the stability in probability of nonlinear stochastic difference equation with order of nonlinearity more than one can be reduced to investigation of the asymptotic mean square stability of the linear part of this equation.     

Hierarchy,cities size distribution and Zipf's law

We show that a hierarchical cities structure can be generated by a self-organized process which grows with a bottom-up mechanism, and that the resulting distribution is power law. First we analytically prove that the power law distribution satisfies the balance between the offer of the city and the demand of its basin of attraction, and that the exponent in the Zipf's law corresponds to the multiplier linking the population of the central city to the population of its basin of attraction. Moreover, the corresponding hierarchical structure shows a variable spanning factor, and the population of the cities linked to the same city up in the hierarchy is variable as well. Second a stochastic dynamic spatial model is proposed, whose numerical results confirm the analytical findings. In this model, inhabitants minimize the transportation cost, so that the greater the importance of this cost, the more stable is the system in its microscopic aspect. After a comparison with the existent methods for the generation of a power law distribution, conclusions are drawn on the connection of hierarchical structure, and power law distribution, with the functioning of the system of cities.     

高碳烃宽温度范围燃烧机理构建及动力学模拟

发动机中燃料点火特性以及燃烧能量的释放对于发动机设计具有非常重要的作用,为了提高燃料的燃烧效率以及减少燃料在燃烧过程中污染物的排放,基于反应动力学机理对燃料燃烧过程的模拟就显得十分必要。因此需要更加深入的认识碳氢燃料的燃烧机理,探索其在燃烧过程中十分复杂的化学反应网络。为了发展能够适用于实际燃料多工况条件(宽温度范围、宽压力范围和不同当量比)燃烧的燃烧机理,基于碳氢燃料机理自动生成程序ReaxGen构建了正癸烷燃烧详细机理(包含1499个物种,5713步反应)和正十一烷燃烧详细机理(包含1843个物种,6993步反应)。详细机理主要由小分子核心机理和高碳烃类(C5以上)机理两部分组成。为了验证机理的合理性与可靠性,本文对于高碳烃燃烧新机理在点火延时时间以及物种浓度曲线进行了动力学分析,并与实验数据及国内外同类机理进行了对比,结果表明本文提出的正癸烷和正十一烷燃烧新机理在比较宽泛的温度、压力和当量比条件下都具有较高的模拟精度,为发展精确航空煤油燃烧模型提供了基础数据。同时考虑到详细机理的复杂性以及机理分析的计算量大和时耗长,本文基于误差传播的直接关系图形(Directed Relation Graph with Error Propagation,DRGEP)方法简化得到的包含709组分2793反应的正癸烷和包含820组分3115反应的正十一烷简化机理,使用DRGEP方法时所采用的数据点选自压力范围从1.0×10~5 Pa到1.0×10~6Pa,当量比范围从0.5到2.0,初始温度范围从600到1400时恒压点火的模拟结果在点火延迟时间附近区域的抽样,同时在正癸烷机理简化中选取正癸烷、O_2和N_2作为初始预选组分,正十一烷的机理简化中主要选取正十一烷、O_2和N_2作为初始预选组分,得到的简化机理在比较宽泛的条件下的预测结果与详细机理吻合很好。最后结合敏感度分析方法分析了正癸烷和正十一烷的点火延迟敏感性,考察了机理中影响点火的关键反应。结果表明:这些机理能够合理描述正癸烷和正十一烷的自点火特性,在工程计算流体力学仿真设计中有很好的应用前景。     

化学生物学综合实验教材建设

高质量实验教材是本科实验教学的重要保证,在创新型人才的培养中发挥着巨大的作用。本文从编写背景、指导思想、项目编写与修订等方面介绍了化学生物学综合实验教材的建设情况。该教材经历了十多年实验教学的考验,能较好满足相关学科的学生培养需要。     

基于真实情境开展化学学科核心素养为本的教学案例

从《普通高中化学课程标准（2017年版）》的教学标准和考试大纲化学部分的考查标准出发,探讨素养为本的教学和学业评价中真实情境对教、学、考有机衔接的促进作用。通过基于真实情境的不同类型的主题教学实践案例,阐述认知台阶搭建、主题研究任务开发、教材内容整合、情境化单元课程建设与社会生活、生产实践、科技研究、实验探究的有效链接,为学生创设驱动性任务,在实际问题解决过程中构建联系性、发展性的知识框架和认知模型的教学设计策略,呈现素养为本的教学案例。     

混合式教学模式下仪器分析双语教学探究

探讨了混合式教学模式下仪器分析的双语教学情况,主要包括：教学设计、资源库建设、新型教学模式构建与教学方法实践、课堂教学考评、教学团队建设等。以期进一步拓宽学生的国际化视野,提升学生运用外语获取仪器分析前沿知识和自主综合学习能力,提高课堂教学效果和课程国际化水平。     

动态配位空间的构筑与调控

“配位空间”(Coordination Space)是无机-有机杂化体系中的构筑基元通过配位键连接形成的具有特定结构和功能的空间。这一概念为基于配位键的框架体系的定向构筑与结构-性能调控提供了新的视角。作为典型的无机-有机杂化材料,金属-有机框架(Metal-Organic Framework,MOF)及金属有机笼(Metal-Organic Cage,MOC)等近年来受到广泛关注。这类材料的构筑与性能调控的核心可以认为是对其配位空间的结构设计与性能调控。具有刺激响应性的MOF可展现动态的配位空间,使其在吸附分离、传感、药物投递等方面具有重要的应用前景。本文将以动态金属有机框架的相关研究为基础简述动态配位空间研究的近期进展,包括其动态行为产生的结构基础、诱发因素及相关性能,归纳结构-性能的关系,为相关研究提供参考。