Stability of Positive Fixed Points of Nonlinear Operators

This paper considers the stability of positive fixed points of nonlinear operators under purturbations. Through the use of the Thompson's metric, we obtain the results in ordered Banach spaces by proving the corresponding results in metric spaces first. An application to the existence of periodic solutions for a parametrized system of ordinary differential equations is given.     

Topological characterizations of ordered groups with quasi-divisor theory

For an order embedding of a partly ordered group G into an l-group a topology is introduced on which is defined by a family of valuations W on G. Some density properties of sets h(G), h(X _t ) and (X _t being t-ideals in G) in the topological space are then investigated, each of them being equivalent to the statement that h is a strong theory of quasi-divisors.     

A cancellation law for partially ordered sets and spaces

In this paper we prove a cancellation law in the category (1) of partially ordered sets and (2) of spaces, the respective conditions on the common factor being that it have (1) an irreducible bottom element and (2) an irreducible bottom element in its specialization order.

     

On the Jump Number of Lexicographic Sums of Ordered Sets

Let Q be the lexicographic sum of finite ordered sets Q _x over a finite ordered set P. For some P we can give a formula for the jump number of Q in terms of the jump numbers of Q _x and P, that is, , where s(X) denotes the jump number of an ordered set X. We first show that where w(X) denotes the width of an ordered set X. Consequently, if P is a Dilworth ordered set, that is, s(P) = w(P)–1, then the formula holds. We also show that it holds again if P is bipartite. Finally, we prove that the lexicographic sum of certain jump-critical ordered sets is also jump-critical.     

On Free MV-Algebras

In the present paper we show that free MV-algebras can be constructed by applying free abelian lattice ordered groups.     

On a certain Maximum Principle for Positive Operators in an Ordered Normed Space

The equation for a positive linear continuous operator is considered in an ordered normed space , where the cone is assumed to be closed and having a nonempty interior. Then the dual cone of K possesses a base . Generalizing the well known maximum principle for positive matrices an operator A is said to satisfy the maximum principle, if for any there exists a positive linear continuous functional which is both, maximal on the element Ax, i.e. , and positive on the element x, i.e. 0$$ " align="middle" border="0"> . This property is studied and characterized both analytically by some extreme point condition and geometrically by means of the behaviour under A of the faces of the cone K. It is shown that the conditions which have been obtained for finite dimensional spaces in earlier relevant papers are special cases of conditions presented in this paper. The maximum pinciple is proved for simple operators in the spaces and c.     

"订单教育"的冷思考

“订单教育”的方兴未艾，使得这一教育形式迅速走红。但文章独辟视角对这种校企合作办学模式的实践做出“另类”思考，目的是提醒人们一分为二的看问题，全面认识“订单教育”。     

关于序*-半格同余的最小元问题

研究关于序 -半格同余的问题,证明了N 是最小序 -半格同余,即N 是序 -半格同余的最小元.但一般来说,N 不是最小序半格同余.     

Fe－C马氏体室温时效转变的研究I─有序化

利用透射电镜对Ｆｅ－１．８３Ｃ马氏体室温时效所产生的有序化进行了详细的研究。结果表明：铁碳马氏体的有序相有两种，一种是具有Ｆｅ４Ｎ结构的普通有序相γ＇－ＦｅｘＣ（１），另一种是由它衍生出来的长周期有序相，称为γ－ＦｅｘＣ（Ⅱ），ｘ＝４～１０．两种有序相同时存在于马氏体的时效组织中．经研究确定的有序相晶体结构可以解释所有的实验衍射结果．     

运用属性偏序结构图原理探析《伤寒论》中干姜的配伍规律

基于形式概念分析理论,以《伤寒论》中含干姜方剂、方剂中药物和方剂-药物关系为概念,借用描述事物普遍性和特殊性层次的复杂概念网络生成方法生成属性偏序结构图,从而给出相应方剂（对象）和不同含量的药物（属性）之间的关系结构可视化表示和解释.通过属性偏序结构图探析《伤寒论》中干姜的配伍规律,包括黄连汤、半夏泻心汤、小青龙汤中干姜配半夏,四逆汤中干姜配生附子.属性偏序结构图是将信息科学与传统中医伤寒学结合的新尝试,这种新途径有利于我们对《伤寒论》再学习和认识.