用初等变换求最大公因式

对于任意给定的n个λ的多项式f_1(λ),f_2(λ),……,f_n(λ),必存在唯一确定的最大公因式d(λ),并且能找到n个λ的多项式u_1(λ),u_2(λ),……,u_n(λ),使成立。本文介绍一种用λ—矩阵的初等变换来求d(λ)和u_1(λ),u_2(λ)……,u_n(λ)的简便方法。§1 方法的叙述用初等变换求d(λ)和u_1(λ),u_2(λ),……,u_n(λ),可按下列步骤进行。首先将f_1(λ),f_2(λ),……,f_n(λ)排成一列,并在该列的右方添加一个n阶单位矩阵,得到一个n×(n+1)阶λ—矩阵M(λ):     

基于不可分辨关系的光纤光栅式火灾探测系统

光纤光栅式火灾探测现场工作环境复杂,包含了复杂的海量数据信息。以粗糙集理论中的不可分辨关系作为基础,利用反射光波长(λ1,λ2,…,λn)的差异,将具有复杂性和不确定性的反射光波长作为一个知识系统,火灾探测系统依据光栅的波长(λ1,λ2,…,λn)将探测区域分类为多个防火分区。每一个波长对应的防火分区内设置许多监测点,监测到的光纤光栅的反射波长就是该区域所对应的设定波长。如果监测到的波长λi发生变化,就表明其所对应防火分区的温度发生了改变,一旦温度超出了设定温度值,报警器就会通过数据库传输给客户端,发出相应的"报警"的信号。通过这种方法,大大增加了系统的测量距离和测量精度,测量效果优于传统方法。     

p-对称差度量的收敛判别法及极限表达式

证明了支集一致有界的Fuzzy数序列{A(n)}按p-平均对称差度量d△p收敛于Fuzzy数A的充分必要条件是:存在h∈[0,1],使得{an(λ)}和{bn(λ)}在[0,h]上几乎处处收敛,且(此处,Aλ(n)=[an(λ),bn(λ)]表示A(n)的λ-截集);进而给出了Fuzzy数序列按d△p收敛时的极限表达式.     

Heilbronn问题的一些结果及其推广

给定平面上 n 个点的点集 S,用 D(S) 和d(S)表示这些点的最大距离和最小距离,Heilbronn问题是求 D(S)/d(S)的下确界λ_n 通过计算机辅助证明,证明了λ_8=1/2CSCπ/(14) ,并把Heilbronn 问题推广到高维空间。     

向量值有理插值函数的递推算法

针对向量连分式序列Rn(x)=bo x-xo/b1 … x-xn-x/bn,n=0,1,2,…利用向量的Samelson逆，建立了类似于标量逐步有理插值算法的向量有理函数插值的逐步递推算法：Pλ=dλ,λPλ-1 ∑λ-1 i=1wi^λdλ-i,λPλ-i-1 (x-xλ-1)^2Pλ-2 ωλ^λBλ,Qλ=dλ,λQλ-1 ∑λ-1i=1wi^λdλ-i,λQλ-i-1 (x-xλ-1)^2Qλ-2,λ=2,3,…，n（＊） 其中{P0=b0,Q0=1;{P1=d1,1P0 ω1^1b1,Q1=d1,1Q0,Rλ(x)=Pλ(x)/Qλ(x)(λ=0,1,…，n)是满足插值条件Rλ（xi))=Rλ(xi)Qλ(xi)=Vi,i=0,1,…，λ 的向量有理函数，与向量与理函数插值的传统算法相比，上述算法的主要优点是具有承袭性；当需要增加一个插值条件Rn 1(xn-1)=Vn 1时，原来已经得到的向量有理插值函数序列P0／Q0，P1／Q1，…，Pn/Qn仍然保留，只要按（＊）式再计算一个Pn 1(x),Qn 1(x)即可。在此基础上，将上述算法推广到二元情形，数值实例验证了所给算法的有效性。     

关于Wronskian行列式亏量和的Ozawa问题

若f(z)为有限级λ的亚纯函数,a1,a2……an为f(z)的n个线性无关的小函数，L(f)=W(a1,a2……an,f)为f(z)的Wronskian行列式，T(r,f)=O(r,L(f)δλ表示有限级λ的亚纯函数集合，K(λ)=inff∈δλ ^-limδ→∞N(r,1/f) N(r,f)/T(r,f),则存在只与n，λ有关的正常数d，满足n/3n 2≤d≤1/3使得∑a∈Cδ(a,L(f)≤2-dK(λ）。     

Hilbert积分不等式的推广

通过引入两个参数λ、s(s＞1,(n-1)(1-1＜λ＜n)，将著名的Hilbert积分不等式推广到n(n2)重积分的情形，建立了不等式，系数Γn(λn)／Γ(λ)被证明是最好的.特别，当n=2且λ=1时，就是熟知的Hilbert积分不等式.     

一类广义Petersen图的L(2,1)-标号

图G的L(2,1)-标号是从图G的顶点集到非负整数集的一个映射f∶V(G)→{0,1,2,…},它满足对任意两个顶点x,y,当d(x,y)=1时,|f(x)-f(y)|≥2;当d(x,y)≥2时,|f(x)-f(y)≥1.研究了n≡0(mod3)的广义Petersen图G=P(n,t)的L(2,1)-标号数λ2,1(G),得到当t=0(mod3),5≤λ2,1(G)≤8,否则λ2,1(G)=5     

(b,d)型A.P.间隙与模分布

本文主要证明了下述定理: 设f(z))=sum from n=0 to ∞ a_nz~(λn)为一超越整函数,那么: (1)当f(z)具有(b,d)型A.P.间隙时,对任一有穷复数a,都有δ_ε(a,f)≤1-1/d;当b>0时,还有:sum from α≠∞δ(a,f)≤1-1/d。 (2):当λ_(m 1)—λ_m(m=n,n 1,…)的最大公因子d_n→∞(n→∞)时,对在一慢增长的亚纯函数a(z),都有:■_s(a(z),f)≤1/2。     

整数矩阵方程Am=dI+λJ的通解

给出整数矩阵方程Am=d I λJ的通解,即:当d≠0时,必有(d λn)1m-d1m为n的整数倍且A=d1mI 1n[(d λn)1m-d1m]J,当d=0时,其通解为A=1n(λn)1meeT 1     

Markedness and its Interpretation in Language Use

Language markedness is a common phenomenon in languages, and is reflected from hearing, vision and sense, i.e. the variation in the three aspects such as phonology, morphology and semantics. This paper focuses on the interpretation of markedness in language use following the three perspectives, i.e. pragmatic interpretation, psychological interpretation and cognitive interpretation, with an aim to define the function of markedness.     

Features of Women's language

Language is a means of verbal communication. People use language to communicate with each other. In the society, no two speakers are exactly alike in the way of speaking. Some differences are due to age, gender, statue and personality. Above all, gender is one of the obvious reasons. The writer of this paper tries to describe the features of women＇s language from these perspectives： pronunciation, intonation, diction, subjects, grammar and discourse. From the discussion of the features of women＇s language, more attention should be paid to language use in social context. What＇s more, the linguistic phenomena in a speaking community can be understood more thoroughly.     

An Analysis of Catherine＇s Character——Wuthering Heights

Wuthering Heights, Emily Bronte＇s only novel, was published in December of 1847 under the pseudonym Ellis Bell. The book did not gain immediate success, but it is now thought one of the finest novels in the English language. Catherine is the key character of this masterpiece, because everybody and everything center on her though she had a short life. We can understand this masterpiece better if we know Catherine well.     

Lower Paleozoic oil relationships within Williston Basin, Canada

The Williston Basin is a significant petroleum province, containing oil production zones that include the Middle Cambrian to Lower Ordovician, Upper Ordovician, Middle Devonian, Upper Devonian and Mississippian and within the Jurassic and Cretaceous. The oils of the Williston Basin exhibit a wide range of geochemical characteristics defined as "oil families", although the geochemical signature of the Cambrian Deadwood Formation and Lower Ordovician Winnipeg reservoired oils does not match any "oil family". Despite their close stratigraphic proximity, it is evident that the oils of the Lower Palaeozoic within the Williston Basin are distinct. This suggests the presence of a new "oil family" within the Williston Basin. Diagnostic geochemical signatures occur in the gasoline range chromatograms, within saturate fraction gas chromatograms and biomarker fingerprints. However, some of the established criteria and cross-plots that are currently used to segregate oils into distinct genetic families within the basin do not always meet with success, particularly when applied to the Lower Palaeozoic oils of the Deadwood and Winnipeg Formation.     

低渗透非均质砂岩油藏启动压力梯度研究

理论推导与室内实验相结合,建立了低渗透非均质砂岩油藏启动压力梯度确定方法。首先借助油藏流场与电场相似的原理,推导了非均质砂岩油藏启动压力梯度计算公式。其次基于稳定流实验方法,建立了非均质砂岩油藏启动压力梯度测试方法。结果表明:低渗透非均质砂岩油藏的启动压力梯度确定遵循两个等效原则。平面非均质油藏的启动压力梯度等于各级渗透率段的启动压力梯度关于长度的加权平均;纵向非均质油藏的启动压力梯度等于各渗透率层的启动压力梯度关于渗透率与渗流面积乘积的加权平均。研究成果可用于有效指导低渗透非均质砂岩油藏的合理井距确定,促进该类油藏的高效开发。     

On Tragic Consciousness In The Works By Ernest Hemingway

As an American modern novelist who were famous in the literary world, Hemingway was not a person who always followed the trend but a sharp observer. At the same time, he was a tragedy maestro, he paid great attention on existence, fate and end-result. The dramatis personae's tragedy of his works was an extreme limit by all means tragedy on the meaning of fearless challenge that failed. The beauty of tragedy was not produced on the destruction of life, but now this kind of value was in the impact activity. They performed for the reader about the tragedy on challenging for the limit and the death.     

Achieving Unusual States of Matter Under High Pressure

正The periodicity of the elements and the non-reactivity of the inner-shell electrons are two related principles of chemistry,rooted in the atomic shell structure.Within compounds,Group I elements,for example,invariably assume the+1 oxidation state,and their chemical properties differ completely from those of the p-block elements.These general rules govern our understanding of chemical structures and reactions.Using first principles calcula-     

Exchange-Correlation and Electronic Excitation Energies from Pairing Matrix Fluctuations

We have developed an adiabatic connection to formulate the ground-state exchange-correlation energy in terms of pairing matrix linear fluctuations.This formulation of the exchange-correlation energy opens a new channel for density functional approximations based on the many-body perturbation theory.We illustrate the potential of such approaches with an approximation based on the particle-particle Random Phase Approximation(pp-RPA).This re-     

Density Functional Theory for the Response of Periodic Systems to Electric Fields Based on the Vector Potential Approach

正The electronic and nuclear(structural/vibrational)response of 1D-3D nanoscale systems to electric fields gives rise to a host of optical,mechanical,spectral,etc.properties that are of high theoretical and applied interest.Due to the computational difficulty of treating such large systems it is convenient to model them as infinite and periodic(at least,in first approximation).The fundamental theoretical/computational problem in doing so is that     

Call for Papers

<正>"The Journal of Shanghai Normal University:Mathematics"is published by Shanghai Normal University as regular issues of The Journal of Shanghai Normal University each year from 2014 in English.The editors-in-chief of the issues are professors Yuhao Cong and Maoan Han.The Journal of Shanghai Normal University was started in 1958 with