Knotted pictures of the GHZ states on the surface of a trivial torus

By means of the torus knot theory method, this paper presents the complete process of obtaining the knotted pictures of eight GHZ states on the surface of a trivial torus from the knotted pictures of eight basic three-qubit states on the surface of a trivial torus. Thus, we obtain eight knotted pictures 121 linkage on the ordinary plane.     

Entanglement complexity of lattice ribbons

We consider a discrete ribbon model for double-stranded polymers where the ribbon is constrained to lie in a three-dimensional lattice. The ribbon can be open or closed, and closed ribbons can be orientable or nonorientable. We prove some results about the asymptotic behavior of the numbers of ribbons withn plaquettes, and a theorem about the frequency of occurrence of certain patterns in these ribbons. We use this to derive results about the frequency of knots in closed ribbons, the linking of the boundary curves of orientable closed ribbons, and the twist and writhe of ribbons. We show that the centerline and boundary of a closed ribbon are both almost surely knotted in the infinite-n limit. For an orientable ribbon, the expectation of the absolute value of the linking number of the two boundary curves increases at least as fast as n, and similar results hold for the twist and writhe.     

Sulphur dioxide insertion into tin―carbon bonds: solvent effects and the nature of the transition state

Data describing the insertion of sulphur dioxide into the carbon―tin bond of a range of substituted phenyltrimethyltin compounds in methanol and benzene solvents have been reconsidered. The reaction in methanol is cleanly second order, but the reaction in benzene has both a second‐order and third‐order component, the latter ascribable to an initial equilibrium formation of a SO₂ complex with the phenyl ring followed by the insertion of a second SO₂ molecule into the carbon–tin bond. Molecular orbital calculations have identified the transition states (TS) and the favoured reaction pathways for the second‐order and third‐order reaction pathways in benzene. The effects of solvents on TS and enthalpies of reaction have also been examined. New insights into the types of TS involved in electrophilic substitution reactions are revealed. Copyright © 2013 John Wiley & Sons, Ltd.     

锂离子电池硅基负极材料嵌锂行为的第一性原理研究

采用基于密度泛函理论的第一性原理平面波赝势方法,计算不同数量的锂离子引起的硅材料晶体结构的变化以及在嵌锂过程中形成Li_xSi(x=1、2、2.4、4.4)合金相的形成能与电子结构.采用LST/QST方法计算过渡态,模拟合金体相中的锂离子迁移过程.计算结果表明,随着嵌锂数量的增加,硅晶胞的体积在不断增大;Li_xSi合金相的形成能为负值,表明在嵌锂过程中锂离子和硅原子可以自发形成这些合金相,其中Li₇Si₃合金最容易形成;随着嵌锂量的增加,锂离子在费米能级处s轨道提供的电子数逐渐增加,锂硅合金在费米能级处的电子数量呈增大趋势,表明锂硅合金的导电性越来越优;常温下Li₂Si体相中很难直接形成锂离子空位,但锂离子空位的迁移过程很容易发生.     

SOFM神经网络最近插入法混合算法在TSP问题中应用研究

SOFM神经网络已经成功应用到TSP问题中，但是该算法存在一些缺点，随着学习速度逐步降低，会导致一些城市无法通过。针对这些缺点，尝试在SOFM神经网络中引入最近插入法形成混合算法。通过实验，并与SOFM神经网络该算法对比，结果表明，该算法能够很好地完善该问题。     

SM系列剑杆织机引纬系统的分析计算

近几年国内引进了许多采用共轭凸轮式打纬和引剑的SM系列剑杆织机。本文从运动几何学角度出发,用样条函数的方法,对SM系列剑杆织机引纬系统,即凸轮一连杆一轮系组合机构,进行了运动学方面的分析计算,解决了如下问题: 1 用三次样条函数拟合凸轮廓线。2 推导了解SM系列剑杆织机引纬系统运动学的公式。并可作为分析其它剑杆织机运动的参考。3 给出了SM92 剑杆织机的引纬运动规律并进行了分析。     

当代知识论题释

2 1世纪 ,知识成为经济发展的主要资源和社会的主要财富。传统知识论正在淡出 :知识真理符合论与怀疑论 ;知识本体论与内在主义 ;非基础非内在主义和现象论。把知识作为对象 ,从存在论进路研究知识论已成为一个时代的主题 :因为一是知识对经济增长发挥了关键作用 ,二是知识的社会建制发生了根本性变化 ,三是信息化知识产业突飞猛进 ,四是关于知识经济的理论趋于成熟。针对“德鲁克疑难”提出当代知识论研究的一些主要设想     

关于图是可迹或1—哈密尔顿的两个充分条件

设G是一个图，G的独立集Y称为本质集，如果存在[y1,y2}属于Y，使得dist（y1,y2）＝2。利用插点方法，给出了关于（k-1）或(k 1)－连通（k≥2）图G是可迹的或1－哈密尔顿的统一证明。     

用于化学实验温度测量的精密测温仪制作

本文主要详细阐述了精密测温仪的制作和使用。