Surgery of closed manifolds with dihedral fundamental group

In the paper the obstruction groups to obtaining simple homotopy equivalence by surgery from normal degree 1 maps of closed manifolds with dihedral fundamental group are computed. The cases of trivial orientation for the dihedral group and nontrivial orientation for the order 2 cyclic subgroup are considered. New results concerning the Browder-Livesey groups and natural maps ofL-groups arising in index 2 inclusions of the cyclic group into the dihedral group are obtained.Translated fromMatematicheskie Zametki, Vol. 64, No. 2, pp. 238–250, August, 1998.The work of the first-named author was partially supported by of the Grant of the President of the Russian Federation, grant No. 96-15-96841. The work of the second-named author was partially suported the Ministry of Science and Technology of the Republic of Sloveniya, grant No. J1-7039-0101-95.     

Match twice and stitch: a new TSP tour construction heuristic

We present a new symmetric traveling salesman problem tour construction heuristic. Two sequential matchings yield a set of cycles over the given point set; these are then stitched to form a tour. Our method outperforms all previous tour construction methods, but is dominated by several tour improvement heuristics.     

Conification construction for Kähler manifolds and its application in c-projective geometry

Two Kähler metrics on a complex manifold are called c-projectively equivalent if their J  -planar curves coincide. Such curves are defined by the property that the acceleration is complex proportional to the velocity. The degree of mobility of a Kähler metric is the dimension of the space of metrics that are c-projectively equivalent to it. We give the list of all possible values of the degree of mobility of a simply connected Kähler manifold by reducing the problem to the study of parallel Hermitian (0,2)$(0,2)$-tensors on the conification of the manifold. We also describe all such values for a Kähler–Einstein metric. We apply these results to describe all possible dimensions of the space of essential c-projective vector fields of Kähler and Kähler–Einstein metrics. We also show that two c-projectively equivalent Kähler–Einstein metrics (of arbitrary signature) on a closed manifold have constant holomorphic curvature or are affinely equivalent.     

New kink solutions for the van der Waals p‐system

The simple equation method and modified simple equation method are employed to seek exact traveling wave solutions to the (1 + 1)‐dimensional van der Waals gas system in the viscosity‐capillarity regularization form. Under the help of Mathematica, new classes of kink solutions are derived. Numerical simulations with special choices of the free parameters are displayed by three‐ and two‐dimensional plots. The two methods demonstrate simplicity, reliability, and efficiency.     

中国建筑产业链两阶段综合效率、纯技术效率、规模效率及其影响因素

目前从建筑产业链角度对建筑产业效率问题的研究并不多。据此,本研究通过梳理相关文献,识别出建筑产业链的两个关键环节:工程咨询阶段和工程施工阶段;根据筛选的建筑产业链投入、产出指标,利用链式关联网络DEA模型测算2014~2015年中国各省份建筑产业链两阶段的综合效率、纯技术效率与规模效率;利用Tobit模型确定影响三种效率的关键因素,以此实现对建筑产业链两阶段生产资源的优化与整合,更期待为客观度量产业链两阶段生产效率的研究提供新思路与方法。研究发现,综合效率普遍偏低且各省份之间差距较大,其主要原因是纯技术效率偏低且省份之间差异大;三种效率的主要影响因素及其作用程度不尽相同。在此基础上提出相应的对策建议以促进中国建筑业生产效率的提高。     

与一类unit型相联系的有限维单李代数的结构

Let n ≥ 4. The complex Lie algebra, which is attached to the unit form q(x1, x2,..., xn)■ and defined by generators and generalized Serre relations, is proved to be a finite-dimensional simple Lie algebra of type Dn, and realized by the Ringel-Hall Lie algebra of a Nakayama algebra. As its application of the realization, we give the roots and a Chevalley basis of the simple Lie algebra.     

OD-Characterization of Alternating and Symmetric Groups of Degree p+5

In this paper,it is proved that all the alternating groups A_(p+5) are ODcharacterizable and the symmetric groups S_(p+5) are 3-fold OD-characterizable,where p + 4 is a composite number and p + 6 is a prime and 5≠p∈π(1000!).     

A recursive construction of t‐wise uniform permutations

We present a recursive construction of a (2t + 1)‐wise uniform set of permutations on 2n objects using a combinatorial design, a t‐wise uniform set of permutations on n objects and a (2t + 1)‐wise uniform set of permutations on n objects. Using the complete design in this procedure gives a t‐wise uniform set of permutations on n objects whose size is at most t²ⁿ, the first non‐trivial construction of an infinite family of t‐wise uniform sets for . If a non‐trivial design with suitable parameters is found, it will imply a corresponding improvement in the construction. © 2013 Wiley Periodicals, Inc. Random Struct. Alg., 46, 531–540, 2015     

防灾减灾类案例在物理化学教学中的应用研究*——以地下水科学与工程专业为例

以推动专业背景下物理化学的内涵式教学为主旨,在结合地下水科学与工程专业人才培养方案、调研文献资料、访谈相关专任教师和学生基础上,甄选具有代表性、典型性的防灾减灾领域案例素材,促进物理化学与防灾减灾通识课程、专业核心课程有机融合,力求在增强物理化学课程的吸引力和感染力的同时更好的助力专业教学,提高学生专业素养。     

“普通化学实验”英文课程的构建与实施

面向本校少年班学院大一学生开设了普通化学实验英文课程General Chemistry Laboratory。该课程涉及的知识面宽,突出实验的探究性;自编英文讲义,制作英文课件和教学网站;设计翻转课堂教学;实施多种对外交流模式,从听说读写各方面提高学生的英语水平,使学生的科学创新能力和英语应用能力均得到提高。