当务之急

XBRL中国地区组织执行委员会主席、财政部会计司副司长应唯指出,统一思想,整合资源,尽快制定和完善基于企业会计准则的XBRL分类标准及相关技术标准,并积极加以推广和应用,是XBRL中国地区组织的当务之急,并建议从以下几个方面着手：     

On the Blaschke isoparametric hypersurfaces in the unit sphere

Given an immersed submanifold x ： M^M → S^n in the unit sphere S^n without umbilics, a Blaschke eigenvalue of x is by definition an eigenvalue of the Blaschke tensor of x. x is called Blaschke isoparametric if its Mobius form vanishes identically and all of its Blaschke eigenvalues are constant. Then the classification of Blaschke isoparametric hypersurfaces is natural and interesting in the MSbius geometry of submanifolds. When n = 4, the corresponding classification theorem was given by the authors. In this paper, we are able to complete the corresponding classification for n = 5. In particular, we shall prove that all the Blaschke isoparametric hypersurfaces in S^5 with more than two distinct Blaschke eigenvalues are necessarily Mobius isoparametric.     

广义图K(n,m)的点强全色数

图G(V,E)的一个正常k-全染色σ称为G(V,E)的一个k-点强全染色,当且仅当v∈V(G),N[v]中的元素着不同颜色,其中N[v]={u vu∈V(G)}∪{v};并且χvTs(G)=m in{k存在G的一个k-点强全染色}称为G的点强全色数.本文确定了完全图Kn的广义图K(n,m)和乘积图Lm×Kn的点强全色数.     

将具有“垃圾分类”背景的数学问题引入课堂教学

问题是数学的心脏,聚焦真实情境的问题解决能发展学生能力、培养学习品格,体现学科育人的价值.依托社会热点话题“垃圾分类”,笔者以数学的眼光观察生活中垃圾分类的数学问题,从数学角度对数据进行整合提炼、概括,形成可探究的数学问题,并建立适当的数学模型进行分析与解释,引导学生自主提出有关垃圾分类的数学问题,并尝试建立合适的数学模型解决问题.     

贝叶斯分类模型的改进及其应用

利用加权贝叶斯分类模型对北京科技大学本科生英语四级考试通过率进行预测.通过对误判数据的分析,调整贝叶斯分类器的判别条件,改进了加权贝叶斯分类模型.实验表明,改进后的模型大大提高了预测结果的准确性.此外,还引入了学生"潜力因子"的概念,为教学与学习提供了个性化的提示和有针对性的建议.     

Edge-pancyclicity and Hamiltonian connectivity of twisted cubes

The twisted cube TQn is a variant of the hypercube Qn. It has been shown by Chang, Wang and Hsu [Topological properties of twisted cube. Information Science, 113, 147-167 （1999）] that TQn contains a cycle of every length from 4 to 2^n. In this paper, we improve this result by showing that every edge of TQn lies on a cycle of every length from 4 to 2^n inclusive. We also show that the twisted cube are Hamiltonian connected.     

Counting isomorphism classes of pointed hyperelliptic curves of genus 4 over finite fields with even characteristic

This paper is devoted to counting the number of isomorphism classes of pointed hyperelliptic curves over finite fields. We deal with the genus 4 case and the finite fields are of even characteristics. The number of isomorphism classes is computed and the explicit formulae are given. This number can be represented as a polynomial in q of degree 7, where q is the order of the finite field. The result can be used in the classification problems and it is useful for further studies of hyperelliptic curve cryptosystems, e.g. it is of interest for research on implementing the arithmetics of curves of low genus for cryptographic purposes. It could also be of interest for point counting problems; both on moduli spaces of curves, and on finding the maximal number of points that a pointed hyperelliptic curve over a given finite field may have.     

高考三角函数中的创新题型分类解析

纵观近年全国各省市高考题和高考模拟题,三角函数一直是创新改革题型的“试验田”,一些构思精巧、新颖别致,极富思考性和挑战性的三角函数创新题频频出现,给平淡的数学题增添了灵气和活力．这些创新题具有很好的区分和选拔功能,是考查学生数学素养和能力的极好素材,值得认真研讨．笔者分三类题型并结合典型例题加以剖析,旨在探索题型规律,揭示解题方法．     

化归和转化思想在高考复习中的应用

高中数学复习课怎样才能让学生感觉到简单易学呢？笔者认为关键是要让学生理解所学内容的本质,其中化归和转化起着非常重要的作用．数形结合思想是代数问题与几何问题之间的相互转化,函数与方程思想是把待解决的问题转化归结为函数问题或方程问题,分类讨论思想是在问题的局部与整体之间相互转化,     

K(n,2n,-n)方程行波解的分支

本文研究了K(n,2n,-n)方程行波解与参数a,b,c,g,n等的关系.利用动力系统分支理论,得到了孤立波、扭结和反扭结波解,以及不可数无穷多光滑周期波解的存在性.本文推广了文献[1]中的结果.