关于W.H.Young不等式形式的探讨

通过一个命题的证明，得出关于W．H．Young不等式的另一种形式，并说明这种形式的不必要性，借此来说明W．H．Young不等式形式的内在统一性和数学思维的严密性。     

The complexity of reconstructing trees from qualitative characters and subtrees

In taxonomy and other branches of classification it is useful to know when tree-like classifications on overlapping sets of labels can be consistently combined into a parent tree. This paper considers the computation complexity of this problem. Recognizing when a consistent parent tree exists is shown to be intractable (NP-complete) for sets of unrooted trees, even when each tree in the set classifies just four labels. Consequently determining the compatibility of qualitative characters and partial binary characters is, in general, also NP-complete. However for sets of rooted trees an algorithm is described which constructs the “strict consensus tree” of all consistent parent trees (when they exist) in polynomial time. The related question of recognizing when a set of subtrees uniquely defines a parent tree is also considered, and a simple necessary and sufficient condition is described for rooted trees. This work was supproted by the Alexander von Humoldt-Stiftung. I wish to thank Andreas Dress, Hans-Jürgen Bandelt and the referees for their helpful comments.     

THE STRICT POSITIVITY IN A NONSTANDARD HULL AND ITS APPLICATIONS TO ECONOMICS

1.IntroductionThenonstandardhull,originallyintroducedbyLuxemburgin[1],hasprovedtobeausefultoolinstudyingthelocaltheoryofBanachspacesandnormedRieszspaces.Asystematictheoryinthisaspectisdevelopedin[2--4].However,peoplepaylessattentiontostrictlypositivevecto…     

模糊拓扑向量空间上可微算子的几个问题

在笔者前期工作的基础上，主要讨论了如下几个问题：１．逆算子的可微性；２．偏导数；３．严格归纳极限上的微分。     

连续T—模族{T_p(x,y)}

本文给出了一类连续T-模T_p(x,y),探讨了它的性质及一些结论。     

CONSTRUCTION OF SAC PERMUTATIONS

1.Intr0ductionandPreliminariesNonlinearpermutations0fGF(2")withstrongcryptographicpropertieshaveimportantaPplicationsincryptol0gysuchasDES-likeblockciphers,hushfunctionsandstreamciphers.TheStrictAvalancheCriterion(SAC)wasiotroducedbyWebsterandTaVresl2]inc…     

严格凸及一致凸的特征

本文给出严格凸的Banach空间的两个特征及一致凸的Banach空间的两个特征。     

数据包络分析权序敏感分析

主要探讨数据包络分析模型中加权系数序关系对ＥＤＡ评价的有效性敏感分析，并给予了Ｃ＾２Ｗ模型的推导证明，结果表示弱序性不能够保证，对于强序关系进行推广构造决策者偏好结构，发现它具有直观简易的特点，与Ｃ＾２ＷＨ模型相比，更易于构造偏好结构和权序关系，易于实现决策支持系统，具有实用价值。     

改进集下参数广义弱向量平衡问题解的半连续性

在改进集定义的序关系下,本文建立了广义弱向量平衡问题解的线性标量化特征,并通过引入集值映射的一种新的严格伪单调性得到了广义弱向量平衡问题解的连续性（包括上半连续性和下半连续性）结果。     

微分中值定理的逆问题

研究了Lagrange定理和Taylor定理的逆问题，证明了在一定的条件下，Lagrange定理和Taylor定理的逆定理成立，为更好地利用微分中值定理提供了理论根据．