P_n~k和T_((k_1,k_2,…,k_n))的色多项式

本文研究了图Pnk和T(k1,k2,…,kn)的色多项式,得到P2n、P3n和T(k1,k2,…,kn)的色多项式递推公式,以及Pn2仅当n≤4时是色唯一图,T(k1,k2,…,kn)仅当n=1是色唯一图等结论.     

Pkn和T(k1,k2,…,kn)的色多项式

本文研究了图Pkn和T(k1,k2,…,kn)的色多项式,得到P2n、P3n和T(k1,k2,…,kn)的色多项式递推公式,以及P2n仅当n≤4时是色唯一图,T(k1,k2,…,kn)仅当n=1是色唯一图等结论.     

一类多项式的分解及其应用

1 一类多项式的分解 定理任何一个形如 k0xn+k1xn-1ɑ+k2xn-2ɑ2+...+kn-1xɑn-1+knɑn (1) 的多项式,如果k0+k1+...+kn=0,则一定可以分解成 (x-ɑ)[k0xn-1+(k0+k1)xn-2ɑ+(k0+k1+k2)xn-3ɑ2+...+(k0+k1+k2+...+kn-1)ɑn-1](2) 的形式(n=1,2,3,...).证明用第一数学归纳法.     

两个完全图Kn和Km关于Kr-粘合的色等价类

设G的色多项式为P(G,λ)=λ^ko(λ-1)^k1…(λ—m 1)^km-1(λ-m)…(λ—n 1),其中,m≤n,且ki=1或2(i=0,1,…,m-1),且k0≤k1≤…≤km-1．本文给出了几类由上述形式色多项式决定的广义树,并证明了{{Kn,Km},{Kr}}是一个完全类当且仅当r=m-1或m．     

2n阶线性奇异边值问题的谱理论

考虑2n阶线性微分方程的奇异边值问题(-1)nu2n(t)=λa(t)u(t),00.首先证明奇异边值问题是线性自共轭全连续微分算子,然后利用线性自共轭全连续算子的谱理论给出了2n阶线性微分方程的奇异边值问题的谱.     

多调和算子组的谱估计

设Ω是R~m(m≥2)中一个有界区域,考虑多调和算子组的特征值问题AΛ(△)u~T=λu~T,x∈Ωu~k=(?)u~k/(?)n=…=(?)~(k-1)u~k/(?)n~(k-1)=0,x∈(?)Ω,k=1,2,…,N其中,u=(u~1,u~2,…,u~N),n是(?)Ω的单位外法向量。将特征值按增加的顺序排列为0<λ_1≤λ_2≤…≤λ_n≤…则成立如下不等式λ_(n 1)≤λ_n 4/m~2n~2(sum from i=1 to n sum from h=1 to N λ_i~(1/k))(sum from i=1 to n sum from k=1 to N k(2k m-2)λ_i~(1-1/k)) sum from i=1 to n sum from k=1 to N λ_i~(1/k)/λ_(n 1)-λ_i≥m~2n~2/(sum from i=1 to n sum from k=1 to N 4k(2k m-2)λ_i~(1-1/k))     

随机微分方程的概率生成函数解法

讨论了当难以求出随机变量的分布函数时 ,如何研究随机变量的数学期望、方差、相关系数等数字特征的有关问题 ,利用概率生成函数与概率分布函数及相应的数字特征的关系 ,给出了概率生成函数为 gx( s) =∑∞k=0pksk时数学期望与方差的确定方法 ,并应用概率生成函数方法 ,证明了随机微分方程ddt Pk( t) =-λPk( t) λPk- 1 ( t)　 ( k≥ 1)在边界条件 ddt P0 ( t) =-λP0 ( t) ,P0 ( 0 ) =1,Pk( 0 ) =0 ( k≥ 1)之下的解为　 Pk( t) =1k!e-λt( λt) k　 ( k=0 ,1,2 ,… ) ,而随机微分方程ddt Pk( t) =-λk Pk( t) λ( k -1) Pk- 1 ( t)　 ( k >1)在边界条件 ddt P1 ( t) =-λP1 ( t) ,P1 ( 0 ) =1,Pk( 0 ) =0 ( k>1)之下的解为　 Pk( t) =e-λt( 1-e-λt) k- 1 .     

Cn与1Cn的优美标号

设k1,k2,…,kn是非负整数,Cn=v1v2…vnv1是有n个顶点n条边的圈,则称图Cn+{v1v11,v1v12,…,v1v1k1,v2v21,…v2v2k2,…,vnvn1,…,vnvnkn}为(k1,k2,…,kn)轮环图,简记为C(k1,k2,…,kn)·本文研究了圈Cn与图C(k1,k2,…,kn)的优美性,给出图Cn与1Cn在n=4k与n=4k+3时的优美标号算法,从而证明了它们都是优美图等结论.     

一类序列的生成函数及函数的性质

通过递归关系w(nk)=q1w(nk-)1 q2w(nk)-2 … qkw(nk-)k,(qi>0,i=1,2,…,k),给出了广义的k-Fibonacci函数Hn(k,x)=H(n)(k,x)=c1n1λeλ1x c2n2λeλ2x … ckλnkeλkx,n≥k.得到了广义的k-Fibonacci函数Hn(k,α)的表达式及与k阶矩阵=Qnk的关系.     

具有矩阵伸缩的正交双向小波包

为了将正交双向小波包推广到高维情形φan+λ(t)=∑〖DD(X〗k∈Zdp+k,λφn(At－k)+p－k,λφn(k－At),构造了伸缩因子为矩阵A的正交双向小波包{φan+λ(t),λ=0,1,…,a－1}n∈Z+,分别从时频域角度通过小波包基函数的正交性研究了高维正交双向小波包的性质,得到了小波包子空间的分解算法、重构算法及频域表示为∏ SymboleB@ j=1P λjωajΦ^0(0)。
     

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

正~~