Vandermonde行列式的一个推广与一类多重积分的计算

定义了与函数相关的Vandermonde行列式,从而得到了多重积分∫_Eφ~(n)(∑_(i=0)~na_ix_i)dx_1dx_2…dx_n的一般计算公式,其中E={(x_1,x_2,…,x_n)|∑_(i=1)~na_ix_i≤1,x_i≥0,i=1,2,…,n},x_0=1-∑_(i=1)~nx_i,并给出了若干特例。     

两类平面图的关联色数

轮 Wr 1(r≥3)是一个r阶圈加上一个新的顶点,再把圈上每个顶点与新顶点连上边所得到的图.新顶点与圈上顶点之间的边称为辐边,圈上的边称为边缘边.所谓花图Fr,m,n(r≥3,m≥1,n≥2m 1),是在轮Wr 1中的在每条辐边上分别嵌入m-1个新点,在每条边缘边上分别嵌入n-2m-1个新点所得到的图.所谓棱柱Qn(n≥3),是指Qn=(V,E),y={u1,u2,…,un}U{v1,V2,…,vn},E={uiui 1,vivi 1,uivi,u1vi 1|i=1,2,…,n},其中un 1=u1,vn 1=v1.通过给出花图Fr,m,n>(r≥3,m≥1,n≥2m 1)和棱柱Qn(n≥3)的一种关联着色方法,确定了它们的关联色数.     

图∪from i=1 to n ∧from j=1 to m_i A(n_j)的优美性

n(n≥2)条长为2的路具有两个共同的端点的二分图记为A(n)=(X,Y,E),其中X为2n度顶点集合,Y为2度顶点集合,记X={u1,u2},y=v0,v1,…,vn-1,A(nj)=(Xj,Yj,Ej)(nj≥2)中的Xj={uj1,uj2},Yj={vj1,vj2,…,vjnj-1}(j=1,2,…,m),用一条边连接vjnj-1与uj2+1(j=1,2,…,m-1)得到的图记为∧from j=1 to m A(nj).图∪from i=1 to n ∧from j=1 to m_i A(n_j)是n个∧from j=1 to m_i的不交并.本文证明了∪from i=1 to n ∧from j=1 to m_i A(n_j)是优美的且是交错的.     

一类变系数非綫性微分方程组解的稳定条件

考虑下列微分方程组其中p_(ij)(t)(i,j=1,2,…,n)为t≥t。的实连函数,f_i(i=1,2,…,n)为变量t,X_1,…X_n的实連續函数,定义于区域:t≥t。,|x_1|   

判别Hamilton图的一个方法

本文研究寻找Hamilton的圈的一个方法,证明了如下定理:设G是单图,V(G)={V_1,V_2,…,V_n},则G是Hamilton图的充分必要条件是X_(ki)取1或0时,方程组(*)有解,其中sum from i=1 to n sum from j=1 to n x_(ki)x_(k+1)jV_iV_j=1而x(n+1)j=x_(1j) sum from i=1 to n x_(ki)~2=1 sum from i=1 to n x_(ik)~2=1 而V_iV_i=1 当V_i和V_j邻接时, 0 当V_i和V_j不邻接时。     

环上线性码的深度谱以及深度分布的一个注记

给出了环R1=Fq[u]/(um)(um=0,m≥2,q为素数的方幂)以及环R2=Fq+uFq+vFq+uvFq上码长为n的线性码C的深度谱以及深度分布计算公式,证明了环Ri(i=1,2)上n维向量的深度值均可取遍0,1,…,n,以及对任意A={l1,l2,…,lk}■{0,1,…,n},均存在Ri(i=1,2)上码长为n的线性码C,其深度谱恰为A.     

Ms—的一个算法

设a_1,a_2,…,a_s均为正整数,(a_l,a_2, …,a_s)=1,线性型f_i=a_1x_1 a_2x_2 … a_ix_i,x_i≥0,i=1,2,…,s,所不能表出的最大整数记为M_i。本文证明了,M_s可以表示为 sum from i=2 to s(a_ik_i)-sum from j=1 to s(h_ja_j), h_j≥1.其中k_i(i=1,2,…,s)是使等式 a_ik_i=a_1x_(1i) …a_(i-1)x_((i-1),i)i a_(i 1)x_((i 1),i) … a_sx_(si),x_(1i)≥0,…,x_((i-1),i)≥0,x_((i 1),i)≥0,…,x_(si)≥0成立的最小正整数。并通过h_i的确定,给出M_s的一个算法。     

Gracefulness of disconnected graphs W(k)m∪G

文章证明了对任意自然数n≥1,P≥1,K≥1,当m1=2p+3或2p+4时,图W(k)m1U Kn,p为优美图,其中W(k)m1为由k个轮Wmi(i=1,2,…,k)的中心顶点合并后构成的连通图;当m1≥3,n≥[m1/2]时,非连通图W(k)m1∪St(n)为优美图;对任意自然数P≥1,图W(k)2p2+i∪Gpi为优美图,其中,Gpi表示p条边的i-优美图(i=1,2);对任意自然数n≥1,当m1=2n+5时,图W(k)m1∪(C3VKn)为优美图.     

非线性微分方程组的解全局稳定的一个定理

本文是作者(1956)的一篇文章的继续,在陈述形式上与H.H.(1954)的一篇文章有类似之处.设给了微分方程组(1)(dx_i)/dt=X_i(x_1,x_2,…,x_n)(i=1,2,…n),就中X_i(x_1,…x_n)是定义在整个空间- ∞相似文献   

自治系统的周期解

考虑自治系统: dx_i/dt=f_i(X_1,X_2,…,X_n)(i=1,2,…,n)(1)其中右端函数满足解的存在与唯一性定理条件。定义1 相空间的点y称为点x_0的ω极限点,如果存在时间序列{t_n}当n→+∞,t_n→+∞且y=lim x(t_n,x_0)。n→∞定义2 给定环面体G的截面S(在n—1维超平面上)称为G的拟截割,如果对任意~x∈S,有S_x?S,x∈S_x和δ=δ(x)>0,使得φ((-δ,δ),S_x)为R·中包含x的开集,这里φ(t,P)为方程(1)满足初值x(0)=P的解。     

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.     

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     

On the Thermodynamic Limit for Responses to Static Electromagnetic Fields

For molecular systems,the quantum-mechanical treatment of their responses to static electromagnetic fields usually employs a scalar-potential treatment of the electric field and a vector-potential treatment of the magnetic field.Although the potential for each field separately is associated with the choice of an(unphysical)origin,the precise choice of the origin for the electrostatic field has little consequences for the results.This is different for the     

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     

Journal of Donghua University ( English Edition) Contents of Volume 31

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