R上含有一个参数的n元二次多项式因式分解

本文讨论了实数域R上含有一个参数的n元二次多项式的分解问题，给出了此类多项式可分解的判定及分解方法。     

矩阵多项式空间的进一步研究

设A为数域F上的n级矩阵,记F[A]={f(A)|f(x)∈F[x]},它显然是F~(n×n)的子空间.讨论了F[A]的基和维数,引入了f(A)的坐标和F[A]的因式子空间的概念,给出了用因式子空间表示F[A]的几个定理,刻画了F[A]的结构.     

Critical perspectives of the ‘new’ difference equation solution method of Rivera-Figueroa and Rivera-Rebolledo

Recently, claims of a ‘new and straightforward’ method of solution to second-order linear difference equations have appeared in the mathematics education literature from Rivera-Figueroa and Rivera-Rebolledo. The claim of novelty is based on an assumption that ‘since the equation is worked in its canonical form’, the method within this context must be new. In addition, the assertion of straightforwardness is based on the position that ‘the solution comes naturally’ through this method, rather than artificially. In this article, we subject these claims and assumptions to closer scrutiny, examination and analysis. We note that the method has been published before, and we present the method in a more succinct form. We also discuss how the method can be extended to solve difference equations with non-constant coefficients, illustrating this via a discussion of an example.     

基于离散对数和因数分解的门限群签名方案

基于离散对数和因数分解问题,给出了一类新型(tj,t,n)门限群签名方案,该类群签名方案与一般的群签名方案相比具有如下特点：(1)各签名可具有不同的权力;(2)可通过灵活设置参数得到满足不同应用需求的解决方案。对这类方案的安全性进行了论证。     

一种基于Lucas序列的盲签名方案

根据Ｌｕｃａｓ序列的特点,设计了一种新的盲签名方案,其安全性是基于大数分解问题的。该方案签名和验证过程简单,通信成本低,因而有较高的安全性和实用性。     

离散对数数字签名算法的改进

分析了四类离散对数数字签名算法,分别给出了改进算法,证明了正确性和不可伪造性,与已有方案进行了复杂度比较,签名效率有不同程度的提高。     

国际保理在中小型出口企业中的应用优势分析

论述了在国际赊销贸易方式的大背景下,国际保理在中小企业出口中的重要作用。     

A Note on Factoring of Positive Definite Functions on Semigroups

The problem of characterizing those semigroups of class ℳ︁ such that every positive definite function factors via the greatest C ‐separative ∗︁‐homomorphic image is shown to be equivalent to several other problems, including that of characterizing flat semigroups. If the latter could be solved then the problem of characterizing perfect semigroups would be reduced to characterizing quasi‐perfect semigroups.     

关于多元多项式分解的必要条件

类似于一元多项式因式分解的相关结论,利用多元多项式函数与其偏导函数的关系,介绍多元多项式能够因式分解的必要条件,即若 f′xi （x1,x2,…,xn ）与 f （x1,…,xi-1,0,xi＋1,…,xn ）有公因式,则 f （x1,x2,…,xn ）可以分解。     

中小企业通过保理业务融资的思考

分析了中国中小企业融资现状,保理业务在解决中小企业融资中的优势,以及当前中小企业开展保理融资遇到的问题,提出通过建立中小企业诚信体系、建立保险保理制度、完善保理业务相关的法律法规、加强国内外行业合作等,完善保理融资的建议.