On systems of binomials in the ideal of a toric variety

Let be a toric set in the affine space . Given a set of binomials in the toric ideal of , we give a criterion for deciding the equality rad( ) = . This criterion extends to arbitrary dimension, and to arbitrary fields, an earlier result which concerned only monomial curves over an algebraically closed field of characteristic zero.

     

New weighted Rogers-Ramanujan partition theorems and their implications

This paper has a two-fold purpose. First, by considering a reformulation of a deep theorem of Göllnitz, we obtain a new weighted partition identity involving the Rogers-Ramanujan partitions, namely, partitions into parts differing by at least two. Consequences of this include Jacobi's celebrated triple product identity for theta functions, Sylvester's famous refinement of Euler's theorem, as well as certain weighted partition identities. Next, by studying partitions with prescribed bounds on successive ranks and replacing these with weighted Rogers-Ramanujan partitions, we obtain two new sets of theorems - a set of three theorems involving partitions into parts (mod 6), and a set of three theorems involving partitions into parts (mod 7), .

     

An Expansion Formula for q-Series and Applications

In this paper the author proves a q-expansion formula which utilizes the Leibniz formula for the q-differential operator. This expansion leads to new proofs of the Rogers–Fine identity, the nonterminating ₆₅ summation formula, and Watson's q-analog of Whipple's theorem. Andrews' identities for sums of three squares and sums of three triangular numbers are also derived. Other identities of Andrews and new identities for Hecke type series are also discussed.     

Commutativity of rings with polynomial constraints

Let p, q and r be fixed non-negative integers. In this note, it is shown that if R is left (right) s-unital ring satisfying , respectively) where , then R is commutative. Moreover, commutativity of R is also obtained under different sets of constraints on integral exponents. Also, we provide some counterexamples which show that the hypotheses are not altogether superfluous. Thus, many well-known commutativity theorems become corollaries of our results.     

击键特征加强口令身份认证安全性的研究

目前 ,绝大多数计算机系统的安全性都是通过口令保护机制实现的 ,但口令易被盗用 ,存在着安全隐患。为此本文提出了将传统的口令认证机制同用户输入口令时生成的击键特征相结合进行身份认证 ,以此来加强传统的口令认证方式的安全性。同时建立了 BP神经网络对此进行实验 ,并给出了实验结果。     

族群认同、文化自觉与客家研究

首先简要回顾了客家的族群认同的形成与发展,然后借鉴费孝通先生提出的“文化自觉”理念对客家研究进行了理性反思,并提出了一些应对策略,还探讨了全球化与客家文化之间的关系及其影响。     

小凉山的俘虏、亲属和奴隶

20世纪50年代集体化改革之前小凉山奴隶制度特有的社会经济进程表明,诺苏社会曾是一个拥有奴隶的社会,但它并不是奴隶社会。该结论基于其他关于奴隶制研究中的传统观念即在奴隶社会中奴隶制是体系得以维持的关键所在。1956年之前,小凉山的生产目的是生计而不是市场。此外,小凉山的精英阶层更依赖于系谱或继嗣,而不是财富;另一个相关论点是,在诺苏身份和认同的决定中,亲属比等级发挥了更为基础的作用。     

中国的民族政策与族群认同的几个问题——与于鹏杰同志商榷

于鹏杰同志的《族群认同的现代含义:以湖南城步苗族为例》认为中国政府的民族政策使得许多民族自愿或不自愿的采用了汉族的生活方式,并导致了新时代文化认同与族群认同的困惑。如此评价,实有误解乃至歪曲中国政府民族政策的嫌疑。新时代族群认同的困惑不是由于中国政府的民族政策造成的,而是在于“族群”概念的不确定性和民族、族群认同表现的多样性。     

台湾三民乡沙阿鲁阿族的族群现象

沙阿鲁阿族是台湾原住民邹族的三大族群之一,以三民乡民权村的沙阿鲁阿族来看,民权村的原住民以布农族为主,其次为沙阿鲁阿族和堪卡那福族,通用的原住民语言是布农语,沙阿鲁阿族和堪卡那福族的后裔,多年来被视为或自视为布农族而不自觉。但近年来随着族群意识的高涨,后二族群的后裔,纷纷挺身而出,声称自己的族群认同。从中我们看到国家与地方的折衷以及不同族群间的冲突与妥协。如何为族群间寻求一相处之道,是今日当务之急。     

基于双因素的可转换债券定价模型

将信用风险、利率期限结构引入到二叉树定价模型中,建立以股价和利率为标的变量的二叉树定价模型.在给定的边界条件和具体参数下,对我国的可转换债券进行定价研究,并用市场数据对模型做了实证检验.对比标的股价二叉树定价模型的计算结果,发现基于双因素的可转债定价模型的计算精确度较高,同时,计算得到的理论价值的走势跟市场价格的走势较为相似.