Multiplicative bijections of

Let be a compact Hausdorff space which satisfies the first axiom of countability, let and let , be the set of all continuous functions from to If , ,is a bijective multiplicative map, then there exist a homeomorphism and a continuous map such that for all and for all

     

Systems of generalized quasivariational inclusions problems with applications to variational analysis and optimization problems

In this paper, we study an existence theorem of systems of generalized quasivariational inclusions problem. By this result, we establish the existence theorems of solutions of systems of generalized equations, systems of generalized vector quasiequilibrium problem, collective variational fixed point, systems of generalized quasiloose saddle point, systems of minimax theorem, mathematical program with systems of variational inclusions constraints, mathematical program with systems of equilibrium constraints and systems of bilevel problem and semi-infinite problem with systems of equilibrium problem constraints. This research was supported by the National Science Council of the Republic of China.     

有限连续拓扑空间上的相交定理和广义变分不等式

根据已知的FC-空间上的KKM型定理得出若干个相交定理,作为它们的应用,利用转移开闭映射的特征讨论广义变分不等式解的存在问题.本文的结果改进和推广了文献中的相应结论.     

Partial regularity results up to the boundary for harmonic maps into a Finsler manifold

We study the energy functional for maps from a Riemannian m-manifold M   into a Finsler space N=(Rn,F)$N=({\mathbb{R}}^n,F)$. Under the restriction 2?m?4$2?m?4$, we prove the full Hölder regularity of weakly harmonic maps (i.e., weak solutions of its Euler–Lagrange equation) from M to N   in the case that the Finsler structure F(u,X)$F(u,X)$ depends only on vectors X, and a partial Hölder regularity of energy minimizing maps in general cases.     

嗜麦芽假单胞菌质粒pSH1的限制图谱及km~r标记的克隆

对嗜麦芽假单胞菌Ｐ２菌株（ＰｓｅｕｄｏｍｏｎａｓｍａｌｔｏｏｈｉｌｉａＰ２）的质粒ｐＳＨ１进行了限制酶切分析，确定了ＢｇｌⅡ、ＥｃｏＲⅠ、ＰｓｔⅠ、ＸｂａⅠ、ＢａｍＨⅠ、ＢｇｌⅠ、及ＰｖｕⅡ共７种限制性内切酶在ｐＳＨ１、质粒上的切割位点，前４种酶均为单一切点；后３种依次为２、７、５个切点．通过双酶切和部分酶切的方法绘制了ｐＳＨ１质粒的限制酶切图谱．将ｐＧＰ１－２质粒上的卡那霉素抗性基因（ｋｍｒ）片段插入ｐＳＨ１，获得了重组质粒ｐＳＨ２．ｐＳＨ２是由ｐＧＰ１－２质粒上大小为２．９０ｋｂ的ＤＮＡ片段（含ｋｍｒ）和ｇｈＨ１经ＢａｍＨⅠ－ＰｓｔⅠ双酶切产生５．７０ｋｂ大片段组成，它能够重新转化到喀麦芽假单胞菌受体（ｋｍｒ）中，其ｋｍｒ标记能够得到稳定的表达．     

Cyclic permutations and evolutionary trees

Given a tree with leaf set X, there are certain ways of arranging the elements of X in a circular order so that can be embedded in the plane and ‘preserve’ this ordering. We investigate some new combinatorial properties of these ‘circular orderings.’ We then use these properties to establish two results concerning dissimilarity maps on X that are induced by edge-weighted trees with leaf set X.     

基于符号动力学的耦合映像格子系统的初值估计

在符号动力学的基础上,深入探讨了基于动力学符号序列的局部耦合映像格子系统求逆问题.在理论上系统地分析耦合映像系统初值估计的性能与耦合系数及映射函数之间的数学关系,证明相空间I^M上的任意取值通过基于符号向量序列的逆迭代过程并不一定收敛至初值,其敛散性与耦合强度和映射函数的选择有直接关系.同时证明了混沌或其拓扑共轭的逆不一定为压缩映射,其总体的敛散性与整个逆迭代过程中的收敛与发散的强度对比有关.理论分析与数值实验结果完全一致,说明本文提出的耦合映像格子系统初值估计问题的分析 关键词： 耦合映像格子 符号动力学 初值估计     

一类迭代序列Cesaro平均收敛的条件

该文给出了帐篷映射产生的迭代序列Cesaro平均收敛的条件．研究了它与实数二进展式度量性质之间的联系．     

一般分布区间型符号数据的SOM聚类方法

区间型符号数据是一种重要的符号数据类型,现有文献往往假设区间内的点数据服从均匀分布,导致其应用的局限性。本文基于一般分布的假设,给出了一般分布区间型符号数据的扩展的Hausdorff距离度量,基于此提出了一般分布的区间型符号数据的SOM聚类算法。随机模拟试验的结果表明,基于本文提出的基于扩展的Hausdorff距离度量的SOM聚类算法的有效性优于基于传统Hausdorff距离度量的SOM聚类算法和基于μσ距离度量的SOM聚类算法。最后将文中方法应用于气象数据的聚类分析,示例文中方法的应用步骤与可操作性,并进一步评价文中方法在解决实际问题中的有效性。     

环F2+uF2+vF2上线性码广义Gray像

本文定义了环F2+uF2+vF2到域F2的广义Gray映射φ像,研究了环F2+uF2+vF2上线性码的广义Gray像.利用广义Gray映射φ的线性性,证明了环F2+uF2+vF2上线性码C的广义Gray像φ(C)满足dH(C)=dH(φ(C))且φ(C⊥)φ(C)⊥.同时,给出了F2+uF2+vF2上循环码C的广义Gray像φ(C)为F2上的4-拟循环码.