关于k—半分层空间的度量化

本文将给出ｋ－半分层空间的若干度量化定理以及分导间和σ－空间的度量化定理。     

度量空间的k－映射像

Ｅ．Ｈａｌｆａｒ（［６］）引入了ｋ－映射概念，本文给出了度量空间ｋ－映像的一个内在刻划，并由此得到一些度量化定理。     

关于CWC映射与度量化定理

本文讨论CWC映射在度量化定理中的应用, 通过Nagata条件和弱$\gamma$空间条件等给出拓扑空间一些新的度量化定理, 推广了R.E. Hodel和J.Nagata等获得的度量化定理.     

度量空间的k—映射像

Ｅ．Ｈａｌｆａｒ（［６］引入了ｋ－映射概念，本文给出了度量空间ｋ－映像的一个内在刻划，并由此得到一些度量化定理。     

关于C-分层空间

K.B.Lee[1]引入了C-分层空间,并研究了它的一些性质,Lee的研究表明C-分层空间是一类具有较好性质的广义度量空间。C-半分层空间在度量化定理中起着重要的作用,例如,正则空间X是可度量化的当且仅当X是C-半分层、WM-空间(见[3])。在本文中,我们讨论C-分层(C-半分层,KC-半分层)空间的映射性质,给出     

局部凸H-空间中的Ky Fan型截口定理及其应用

本文首先在局部凸Ｈ－空间中建立一个Ｆａｎ型截口定理,作为应用,我们Ｈ－在空间中获得了相交定理、重合定理和极大极小定理本文中定理把文献中的相应结果改进和推广到Ｈ－空间。     

L—Fuzzy命题逻辑系统的语构分层方案

建立一种L－Fuzzy命题逻辑的语构分层构造,引进诸如λ－信息,λ－公理系,λ－语构,λ－证明,λ－定理,λ－语构结论,λ－语构闭包,λ－紧性,,上L－Fuzzy语构闭包,下Fuzzy语构闭包,λ－语构分层和谐,语构分层和谐,强语构分层和谐等新的观念和方法,从而L－Fuzzy命题逻辑语构和语义分层次的程度化的和谐性度量提供了一种方案。     

Frink引理的注记

Frink条件是构造伪度量的关键要求．本文给出Frink条件的一些等价刻画,完善了Gru—enhage论证伪度量存在性的细节,由此给出—致空间度量化定理和Alexandroff-Urysohn度量化定理的简化证明．     

H—空间中集值映象的不动点定理

本文在Ｈ－空间的框架下，不依赖于ＫＭＭ技巧，建立了新的集值映象不动点定理，并且这一结果以赋范空间中的Ｆａｎ－Ｇｌｉｃｋｓｂｅｒｇ－Ｋａｋｕｔａｎｉ定理为特例，从而将这一重要定理推至Ｈ－空间。     

几个ω_μ-度量化定理

本文给出几个ω_μ度量化定理。其中定理1是关于线性分层空间的ω_μ-度量化,线性分层空间是由 Vaughan 于1972年引入的,定理1给出了此空间类可 ω_μ-度量化的必充条件。定理1的推论是[1]中主要结果的推广。至于定理2,则是从另外一个角度,利用满足某些性质的非开集族来刻划 ω_μ-度量。本文所讨论的都是ω_μ-可加拓扑空间,而且是 T_3 的。ω_μ-表示规划的初始序数,(?)μ-表示ω_μ-的势,即(?)μ=|ω_μ|.定义1 拓扑空间 X 是ω_μ-可加的,若对开集族{G_α:α∈A},当|A|<(?)μ时,∩G_α     

Generalized symmetry of graphs — A survey

Symmetry of graphs has been extensively studied over the past fifty years by using automorphisms of graphs and group theory which have played and still play an important role for graph theory, and promising and interesting results have been obtained, see for examples, [L.W. Beineke, R.J. Wilson, Topics in Algebraic Graph Theory, Cambridge University Press, London, 2004; N. Biggs, Algebraic Graph Theory, Cambridge University Press, London, 1993; C. Godsil, C. Royle, Algebraic graph theory, Springer-Verlag, London, 2001; G. Hahn, G. Sabidussi, Graph Symmetry: Algebraic Methods and Application, in: NATO ASI Series C, vol. 497, Kluwer Academic Publishers, Dordrecht, 1997]. We introduced generalized symmetry of graphs and investigated it by using endomorphisms of graphs and semigroup theory. In this paper, we will survey some results we have achieved in recent years. The paper consists of the following sections.

1. Introduction

2. End-regular graphs

3. End-transitive graphs

4. Unretractive graphs

5. Graphs and their endomorphism monoids.

Moment information for probability distributions,without solving the moment problem,II: Main-mass,tails and shape approximation

How much information does a small number of moments carry about the unknown distribution function? Is it possible to explicitly obtain from these moments some useful information, e.g., about the support, the modality, the general shape, or the tails of a distribution, without going into a detailed numerical solution of the moment problem? In this, previous and subsequent papers, clear and easy to implement answers will be given to some questions of this type. First, the question of how to distinguish between the main-mass interval and the tail regions, in the case we know only a number of moments of the target distribution function, will be addressed. The answer to this question is based on a version of the Chebyshev–Stieltjes–Markov inequality, which provides us with upper and lower, moment-based, bounds for the target distribution. Then, exploiting existing asymptotic results in the main-mass region, an explicit, moment-based approximation of the target probability density function is provided. Although the latter cannot be considered, in general, as a satisfactory solution, it can always serve as an initial approximation in any iterative scheme for the numerical solution of the moment problem. Numerical results illustrating all the theoretical statements are also presented.     

Splitting up value: A critical review of residual income theories

This paper deals with the notion of residual income, which may be defined as the surplus profit that residues after a capital charge (opportunity cost) has been covered. While the origins of the notion trace back to the 19th century, in-depth theoretical investigations and widespread real-life applications are relatively recent and concern an interdisciplinary field connecting management accounting, corporate finance and financial mathematics (Peasnell, 1981, 1982; Peccati, 1987, 1989, 1991; Stewart, 1991; Ohlson, 1995; Arnold and Davies, 2000; Young and O’Byrne, 2001; Martin, Petty and Rich, 2003). This paper presents both a historical outline of its birth and development and an overview of the main recent contributions regarding capital budgeting decisions, production and sales decisions, implementation of optimal portfolios, forecasts of asset prices and calculation of intrinsic values. A most recent theory, the systemic-value-added approach (also named lost-capital paradigm), provides a different definition of residual income, consistent with arbitrage theory. Enfolded in Keynes’s (1936) notion of user cost and forerun by Pressacco and Stucchi (1997), the theory has been formally introduced in Magni (2000a,b,c; 2001a,b; 2003), where its properties are thoroughly investigated as well as its relations with the standard theory; two different lost-capital metrics have been considered, for value-based management purposes, by Drukarczyk and Schueler (2000) and Young and O’Byrne (2001). This work illustrates the main properties of the two theories and their relations, and provides a minimal guide to construction of performance metrics in the two approaches.     

关于群中乘积元素的阶

讨论群中两个元素a,b的阶不相等时其乘积ab的阶的一类计算问题.设ㄧaㄧ=m,ㄧ bㄧ=n,若(m,n)=1,且存在k∈N使a=bk,则有ㄧabㄧ=mn/d1d2,其中d1=(m,k+1),d2=(n,k+1).若m≠n,ab=ba,且(m,n)ㄧm/(m,n),或(m,n)ㄧn/(m,n),则有ㄧabㄧ=[m,n].     

The permanence and extinction of a nonlinear growth rate single-species non-autonomous dispersal models with time delays

In this paper, we consider the effect of diffusion on the permanence and extinction of a non-autonomous nonlinear growth rate single-species dispersal model with time delays. Firstly, the sufficient conditions of the permanence and extinction of the species are established, which shows if the growth rate and dispersal coefficients is suitable, the species is permanent, on the contrary, it is extinction. Secondly, an interesting result is established, that is, if only the species in some patches even in one patch is permanent, then it is also permanent in other patches. Finally, some examples together with their numerical simulations show the feasibility of our main results.     

A Sequent Calculus for Propositional Dynamic Logic for Agents with Interactions

We consider a propositional dynamic logic for agents with interactions such as known commitment, no learning, and perfect recall. For this logic, we present a sequent calculus with a restricted cut rule and prove the soundness and completeness for the calculus.__________Published in Lietuvos Matematikos Rinkinys, Vol. 45, No. 2, pp. 261–269, April–June, 2005.     

互连网络的向量图模型

n-超立方体,环网,k元n超立方体,Star网络,煎饼(pancake)网络,冒泡排序(bubble sort)网络,对换树的Cayley图,De Bruijn图,Kautz图,Consecutive-d有向图,循环图以及有向环图等已被广泛的应用做处理机或通信互连网络.这些网络的性能通常通过它们的度,直径,连通度,hamiltonian性,容错度以及路由选择算法等来度量.在本文中,首先,我们提出了有向向量图和向量图的概念;其次,我们开发了有向向量图模型和向量图模型来更好地设计,分析,改良互连网络;我们进一步证明了上述各类著名互连网络都可表示为有向向量图模型或向量图模型;更重要的是该模型能够使我们设计出了新的互连网络---双星网络和三角形网络.     

城市老旧居住小区交通环境评价指标与评价方法

定量的评判城市老旧居住小区整体交通环境质量并进而科学有效的提出老旧小区交通环境更新与改善措施,对城市老旧居住小区交通环境进行了调查,明确了老旧居住小区存在的突出交通问题,并提出了城市老旧居住小区交通环境评价的指标体系,包括行人跨路出行指数、无人行道路段长度占比、停车泊位供需比、路内非法停车占比、平均停车步行距离、泊位数量户数比、人均步行空间、无障碍通道、盲道设置比例、非机动车泊位供需比、地面停放车辆数小区面积比、外部穿行交通周转量小区面积比等。并给出了具体指标的计算方法与获得办法。以长沙市四个典型老旧居住小区为例,对评价方法进行了论证,并得到城市老旧居住小区存在的一般问题,包括人车混杂、人车交织现象严重,停车泊位短缺、车辆乱停乱放,交通设施、特别是弱势群体交通设施缺乏。给出的评价指标、评价方法与结论可为城市老旧小区改造更新,特别是其中很重要的交通环境更新提供决策依据。