Special simplices and Gorenstein toric rings

Athanasiadis [Ehrhart polynomials, simplicial polytopes, magic squares and a conjecture of Stanley, J. Reine Angew. Math., to appear.] studies an effective technique to show that Gorenstein sequences coming from compressed polytopes are unimodal. In the present paper we will use such the technique to find a rich class of Gorenstein toric rings with unimodal h-vectors arising from finite graphs.     

伪随机序列的均匀性评价

伪随机序列生成方法有很多种 ,因生成方法不同而导致其性质的差异较大 .文中描述了产生均匀分布的U (0 ,1 )伪随机序列的数学原理 ,提出了评估均匀分布伪随机序列均匀性的几种方法 ,对由软件产生的几种均匀分布序列的均匀性作出了评估     

Fibonacci,Lucas序列与高阶Bernoulli多项式

本文给出了包含Ｆｉｂｏｎａｃｃｉ序列｛Ｆｎ｝、Ｌｕｃａｓ序列｛Ｌｎ｝及高阶Ｂｅｒｎｏｕｌｌｉ多项式Ｂｎ（Ｋ）（ｘ）的一些恒等式。     

一些商的单调性质

考虑了形如∫xap(t)f(t)dt∫xap(t)g(t)dt　　　　和　　　　∑ki=1piai∑ki=1pibi的两种商在一定条件下所具有的单调性质,推广了某些熟知的结果.     

一个数论函数的四次均值的计算

应用一个正整数的二进制表示,给出一个数论函数的四次均值的精确计算公式.     

全面成绩管理的初探

利用数量化方法,数字特征法,W ilcoxon顺序和检验法以及试卷分析的各种方法(试题难度,区分度,信度,效度等),定量地解决了影响学生成绩的主要因素,并引入全面管理方法,明显地改善了学生成绩,学生综合能力明显加强.     

Chain length effect on dynamical structure of poly (vinyl pyrrolidone)-polar solvent mixtures in dilute solution of dioxane studied by microwave dielectric relaxation measurement

Dielectric relaxation study of the binary mixtures of poly(vinyl pyrrolidone) (PVP) (Mw=24000, 40000 and 360000 g mol⁻¹) with ethyl alcohol (EA) and poly(ethylene glycol)s (PEGs) (Mw=200 and 400 g mol⁻¹) in dilute solutions of dioxane were carried out at 10.1 GHz and 35°C. The relaxation time of PVP-EA mixtures was interpreted by the consideration of a wait-and-switch model in the local structure of self-associated ethyl alcohol molecules and also the PVP chain length as a geometric constraint for the reorientational motion of ethyl alcohol molecules. The formation of complexes and effect of PVP chain length on the molecular dynamics, chain flexibility and stretching of PEG molecules in PVP-PEG mixtures were explored from the comparative values of dielectric relaxation time. Further, relaxation time values in dioxane and benzene solvent confirm the viscosity independent molecular dynamics in PVP-EA mixtures but the values vary significantly with the non-polar solvent environment.     

完全可分的三元系TS(v,4)的支撑集

§ 1　 IntroductionA triple system of order v and indexλ,denoted by TS(v,λ) ,is a collection of3- ele-mentsubsets Aof a v- set X,so thatevery 2 - subsetof X appears in preciselyλ subsets of A.L etλ≥ 2 and (X,A) be a TS(v,λ) .If Acan be partitioned into t(≥ 2 ) parts A1,A2 ,...,Atsuch that each (X,Ai) is a TS(v,λi) for 1≤ i≤ t,then (X,A) is called de-composable.Otherwise it is indecomposable.If t=λ,λi=1for 1≤ i≤ t,the TS(v,λ) (X,A) is called completely decomposable.It …     

济阳坳陷红柳地区构造坡折带层序地层学模式与含油气性的关系

在对地震、测井和钻井等资料详细分析的基础上，将济阳坳陷红柳地区在下第三系划分出了7个三级层序，19个体系域．其中层序Ⅰ、层序Ⅳ为两个T-R层序分为两个体系域，即湖扩展和高位体系域，其他层序均为三分层序，划分为三个体系域即低位、湖扩展（水进）和高位体系域．在层序地层单元划分和对比的基础上，结合断层上下盘地层厚度的差异和地层厚度的变化反映古地形，认为济阳坳陷红柳地区在下第三系沉积时期，发育两种不同类型的构造坡折带，并建立了该区的构造坡折带层序地层学模式，研究了构造坡折带层序地层学模式与含油气性的关系，认为第Ⅰ、Ⅱ层序间的界面附近可形成有利的地层不整合覆盖圈闭与构造一岩性圈闭；第Ⅳ层序低位域可作为油气的运载层，在合适构造的匹配下，可形成有利的构造圈闭或构造-岩性圈闭，对有利区带做出了预测．     

几类数列通项的矩阵求法

本利用矩阵给出了几类数列的通项公式的求法，把数列通项公式的求法转化为矩阵幂的计算，思路简单、计算简便，并能判别其敛散性。