一种基于Split-findmin和Set-maxima的最小支撑树灵敏度分析方法

本文首先根据最小支撑树的截性质和圈性质给出了灵敏度分析的基本公式,然后基于现代图论算法中经典的Split—findmian数据结构介绍了树上边的灵敏度分析算法,最后将非树边的灵敏度分析转化为已有成熟的算法的Set—maxima问题进行处理.     

BCH-代数的原子与分支

在BCH—代数中引入了原子与分支的概念，给出了一个元素为BCH-代数原子的一系列等价条件，证明了一个BCH—代数的所有原子作成的集合是一个广义结合BCI—代数，最后对BCH—代数分支的性质进行了讨论。     

关于ann-内射模和ann-平坦模

左R—模E是ann—内射的。如果对于R的每个有限生成右零化子理想r(L)到R的R—模同态都能延拓为到E的R—模同态.同样,我们称左R—模M是ann—平坦的如果对于R的每个有限生成右零化子理想r (L),都可以得到正合列0→r(L)⊕_RM→R__R⊕M.在本文中,我们证明了R—模B是ann—平坦的当且仅当它的示性模B~·=Hom_R(B,Q/Z)是ann—内射的.     

Morita Context环的幂零性

设(A,B,V,W,(),[])是一个Morita Context,C=A VW B是对应的Morita Context环.用基本环论方法,给出了C与A,B,V,W之间关于环的诣零性,幂零性,局部幂零性,N—诣零性,P—性等性质的关系.     

L—Fuzzy群的同志和同构

本文研究了Ｌ—Ｆｕｚｚｙ群的同态和同构，给出了它们的一些性质，并把群论中的同态定理和同构定理推广到Ｌ—Ｆｕｚｚｙ群上     

关于R—投射模是投射模的环

本文研究了所有Ｒ—投射模都是投射模的环（ＲＰ—环），得出了它的几个等价条件，证明了：Ｓ＝Ｒｎ为ＲＰ—环当且仅当Ｒ为ＲＰ—环；∑ｎｉ＝１Ｒｉ为ＲＰ—环当且仅当每个Ｒｉ为ＲＰ—环．讨论了ＲＰ—环的左投射维数．     

一类包含S—闭空间和紧空间的拓扑空间

本文定义了WS—闭空间的概念,它是S—闭空间和紧空间的推广.文中讨论了WS—闭空间的一些性质,推广了s—闭空间的一些结果.     

广义单纯形—中心设计I_(λ-)最优观测频数的一般解析表达式

本文引进发生函数矩阵与同构向量两个概念,利用它们讨论了与Scheffè单纯形—中心设计有关的0-1矩阵的一些性质。在I_(λ-)最优观测配置的分块算法的基础上,本文给出了q分量n阶广义单纯形—中心设计I_(λ-)最优观测频数的一般解析表达式。     

L-fuzzy层次拓扑空间的准Ir—Lindelof性质

在L-fuzzy层次拓扑空间中，利用Da-闭集，定义了准Ir-Lindelof性质，得出它们在更广泛的层次拓扑空间中，保持了L—fuzzy拓扑空间中的准Lindelof性质的主要结论。例如，闭遗传性、弱拓扑不变性和好的推广等。     

弱1—凸对策及其解的性质

本文提出了一类特殊的ｎ人合作对策模型─—弱１—凸对策，研究了弱１—凸对策的解的性质，并证明弱１—凸对策的解满足所有常见的公理化特征．     

The strong approximation property

We introduce and investigate the strong approximation property of Banach spaces which is strictly stronger than the approximation property and at least formally weaker than the weak bounded approximation property. Among others, we show that the weak bounded approximation property is equivalent to a quantitative strengthening of the strong approximation property. Some recent results on the approximation property of Banach spaces and their dual spaces are improved.     

When does the Haver property imply selective screenability?

We point out that in metric spaces Haver's property is not equivalent to the property introduced by Addis and Gresham. We prove that they are equal when the space has the Hurewicz property. We prove several results about the preservation of Haver's property in products. We show that if a separable metric space has the Haver property, and the nth power has the Hurewicz property, then the nth power has the Addis-Gresham property. R. Pol showed earlier that this is not the case when the Hurewicz property is replaced by the weaker Menger property. We introduce new classes of weakly infinite dimensional spaces.     

Weak and quasi approximation properties in Banach spaces

In this paper, we introduce weak versions (the weak approximation property, the bounded weak approximation property, and the quasi approximation property) of the approximation property and derive various characterizations of these properties. And we show that if the dual of a Banach space X has the weak approximation property (respectively the bounded weak approximation property), then X itself has the weak approximation property (respectively the bounded weak approximation property). Also we observe that the bounded weak approximation property is closely related to the quasi approximation property.     

An axiomatization of the τ-value

The τ-value is characterized by three axioms. It is shown that the τ-value is the unique solution concept which is efficient and has the minimal right property and the restricted proportionality property. The minimal right property is weaker than the additivity property, which plays a role in the axiomatic characterization of the Shapley value: together with individual rationality and efficiency additivity implies the minimal right property. The restricted proportionality property says that for games with minimal right vector zero, the dividend given to the players is proportional to the marginal contribution of the players to the grand coalition.     

The Lyndon property and uniform interpolation over the Grzegorczyk logic

We consider versions of the interpolation property stronger than the Craig interpolation property and prove the Lyndon interpolation property for the Grzegorczyk logic and some of its extensions. We also establish the Lyndon interpolation property for most extensions of the intuitionistic logic with Craig interpolation property. For all modal logics over the Grzegorczyk logic as well as for all superintuitionistic logics, the uniform interpolation property is equivalent to Craig’s property.     

The positive-divergence and blowing-up properties

A property of ergodic finite-alphabet processes, called the blowing-up property, is shown to imply exponential rates of convergence for frequencies and entropy, which in turn imply a positive-divergence property. Furthermore, processes with the blowing-up property-divergence property. Furthermore, processes with the blowing-up property are finitely determined and the finitely determined property plus exponential rates of convergence for frequencies and for entropy implies blowing-up. It is also shown that finitary codings of i.i.d. processes have the blowing-up property. Partially supported by Hungarian National Foundation for Scientific Research Grant OTKA 1906. Partially supported by NSF grant DMS-9024240.     

Strong CHIP, normality, and linear regularity of convex sets

We extend the property (N) introduced by Jameson for closed convex cones to the normal property for a finite collection of convex sets in a Hilbert space. Variations of the normal property, such as the weak normal property and the uniform normal property, are also introduced. A dual form of the normal property is derived. When applied to closed convex cones, the dual normal property is the property (G) introduced by Jameson. Normality of convex sets provides a new perspective on the relationship between the strong conical hull intersection property (strong CHIP) and various regularity properties. In particular, we prove that the weak normal property is a dual characterization of the strong CHIP, and the uniform normal property is a characterization of the linear regularity. Moreover, the linear regularity is equivalent to the fact that the normality constant for feasible direction cones of the convex sets at is bounded away from 0 uniformly over all points in the intersection of these convex sets.

     

逐点伪轨跟踪性质及其应用

本文给出紧致度量空间逐点伪轨跟踪性质的定义,该定义是伪轨跟踪性质定义的推广.作为应用,证明如下结论:(i)若f具有逐点伪轨跟踪性质,且对任意k∈Z ,fk为链转换的,那么对任意k∈Z ,fk为开集转换;(ii)若f具有逐点伪轨跟踪性质,且对任意n∈Z ,fn为链转换的,则f具有初始敏感依赖性质;(iii)若f为开集混合的,且具有逐点伪轨跟踪性质,那么f具有性质P;(iv)设f:(X,d)→(X,d)是同胚映射,那么f具有逐点伪轨跟踪性质当且仅当移位映射σf具有逐点伪轨跟踪性质.     

知识产权产品与经济发展水平关系研究——基于突变级数法和ARDL模型

知识产权产品是一个全新的概念,SNA2008将用于国民经济核算的"无形固定资产"重新定义为"知识产权产品",这种修改凸显了知识产权产品在评价国民经济发展中的重要作用。本文收集了1995-2013年多个与我国知识产权产品与经济发展水平相关的数据,使用突变级数法建立知识产权产品和经济发展水平两个指标体系,以此计算两者的综合评价得分,然后运用ARDL模型对两者进行协整检验。检验结果表明,知识产权产品和经济发展水平之间在长期内存在显著的相互影响。     

Property of Kelley for confluent retractable continua

The property of Kelley for confluent retractable continua is studied. It is shown that a confluent retractable continuum has the property of Kelley if and only if each of its proper subcontinua has the property. An example is constructed of a confluent retractable continuum without the property of Kelley.