线性交换子的加权估计

 多线性交换子T_b(f)(x)=∫_Rⁿ∏_i=1^m(b_i(x)-b_i(y))k(x,y)f(y)dy在L^p(Rⁿ)(1K是一个标准的Calderón-Zygmund核.主要研究交换子Mf(x)=sup_x∈Q∫_Q|f(y)|dy,其中f∈L_loc(Rⁿ),x∈Rⁿ,Q是任何包含x的方体,并用Sharp极大估计得到了该多线性交换子在Herz空间的一个加权有界性.     

自相似分形集上双Lipschitz自同构的Lipschitz常数

证明了当自相似集K满足适当条件时， 则一定存在常数c₀>1， 使得对K上的任意一个双Lipschitz自同构映射f， 成立blip（f）=1或者blip（f）≥c₀，这里 lip（g）= supx，y∈K，x≠y |g（x）-g（y）|/|x-y|，blip（g）=max{lip（g），lip（g^-1）}.     

有节点故障的d进制n维方的圈嵌入

互连网络的容错能力是并行计算中的一个关键问题,而d进制n维方（超方的一般形式）在计算机的互连网络中已得到广泛的应用。本文考虑有节点故障的d进制n维方的容错性。F是d进制n维方Q_n（d） 中的错误点集（n≥3）, 且|F|≤n-2,证明了Q_n（d）的每个无故障的边和无故障的点存在于长从4到dⁿ-2|F|的无故障偶圈中。而且,当d是奇数时,Q_n（d）的每个无故障的边和无故障的点存在于长为dⁿ-2|F|的无故障圈中。     

Hilbert空间中两个K-框架的算子组合

讨论了Hilbert空间中两个K-框架{f_i}^∞_i=1与{g_i}^∞_i=1通过算子作用再求和后得到的序列{T₁ f_i+T₂g_i}^∞_i=1成为K-框架与紧K-框架的一系列等价条件,所得结果推广与修正了已有结果.     

三核铜配合物[Cu3(TBSSB)2(BSA)2(bipy)2]·H2O的合成、晶体结构及性质研究

以牛磺酸缩5-溴水杨醛席夫碱（TBSSB）、5-溴水杨醛（BSA）、2,2''-联吡啶（bipy）为混合配体,合成了三核铜配合物[Cu₃（TBSSB）₂（BSA）₂（bipy）₂]·H₂O （1）,并对该化合物进行了元素分析、红外光谱、X-射线单晶衍射、光致发光光谱、固体漫反射光谱及分子轨道分析等表征。晶体结构分析表明,该化合物结晶属三斜晶系,Pī空间群,晶胞参数为a=10.031（2）Å,b=11.480（2）Å,c=12.913（3）Å,α=73.13（3）°,β=78.58（3）°,γ=75.24（3）°,V=1363.6（5）ų,Z=1,M_r=1533.30,Dc=1.867 g/cm³,F（000）=759,μ=4.236 mm^-1,S=0.921,R₁=0.0488,wR₂=0.0471（I > 2σ（I））,R₁=0.1812,wR₂=0.0546。Cu （2）离子与来自于两个TBSSB配体的两个氮原子和两个氧原子配位,形成正方形配位构型。Cu （1）离子与来自于一个2,2''-bipy的两个氮原子,TBSSB配体的一个氧原子,以及BSA的两个氧原子配位,形成四方锥形配位构型。该化合物分子通过O-H…Br分子内氢键和C-H…O分子间氢键相互连接形成三维超分子结构。研究发现该化合物能够发出蓝色荧光,它的带隙为2.19 eV。     

采用近红外光谱技术快速检测桃汁原汁含量的方法研究

利用近红外光谱技术结合偏最小二乘法（PLS）对桃汁样本中原汁的含量进行定量分析. 采用5种不同预处理方法优化检测数据,结果表明标准化预处理所建立的定量检测模型性能最优,其预测相关系数（R²_p）、预测均方根误差（RMSEP)、校正相关系数（R²_c）、校正均方根误差（RMSEC）分别为0.9988、0.0140、0.9973、0.0212. 研究为桃汁等果汁饮品中原汁含量的检测提供一种快速、无损、简便、廉价、准确的方法.     

一种含5-硝基间苯二甲酸和菲咯啉配体的铜（II）配合物的制备、表征及电化学性能

采用水热法合成了含混合配体的铜配合物[CuLPhen]n（HL=5-硝基间苯二甲酸,Phen=1,10-菲咯啉）,其结构由单晶X射线晶体学确定。标题化合物在单斜空间群P2₁/c中结晶。标题化合物的晶体数据：C₂₀H₁₁N₃CuO₆,Mr=106.57,a =10.6619（3）,b =12.5760（4）,c =13.0550（3）Å,α =90,β=95.463（3）,γ =90°,V =1742.50（9）ų,Z =4,T=293（2）K,Dc =1.726 g/cm³,μ（MoKα）=0.301 mm^-1,F（000）=51.0,R =0.0380,wR =0.07,GOF =1.026。当用作超级电容器电极材料时,所制备的配合物具有高比电容、良好的循环稳定性和优良的倍率性能。具体来说,在1 mol/L KOH溶液中,最大比电容可达到225 F/g。在5 a/g电流密度下,5000次循环后比电容保持率为67.31%。     

带约束的增长曲线模型中的可容许线性估计

 对于带约束的增长曲线模型Y=X₁ΘX₂+ε,ε~(0,σ²V I_q),tr(X′₂Θ′X′1NX₁ΘX₂)≤σ²,讨论了可估函数KΘL的可容许性在矩阵损失函数(d-KΘL)(d-KΘL)′下得到了DYF+C线性可容许的充要条件.     

对数凹函数熵的低维Busemann-Petty问题

引入对数凹函数熵的Busemann-Petty问题,即对于2个Rⁿ上的偶的对数凹函数f和g, 且f和g具有正的、有限的积分,假设∫_Rⁿ∩Hf(x)dx≤_Rⁿ∩Hg(x)dx对于任意i维子空间H均成立,是否能够得到Ent(f)≥Ent(g).得到了该问题的部分解答, 为解决凸体上的低维Busemann-Petty问题提供了一种新的途径.     

媒体报道下随机SIQS流行病模型的动态行为研究

研究了媒体报道干预策略下的随机SIQS流行病模型.构造合适的Lyapunov函数,使用Itô公式和马尔可夫半群理论,证明了基本再生数R₀^s可用于控制随机流行病模型的动态行为,即如果再生数R₀^s<1,并且在其他条件下,疾病将消亡;如果再生数R₀^s>1,并且在其他条件下,疾病是持久性的.结论表明：大的白噪声可以抑制疾病的爆发,这为制定有用的控制策略来调节疾病的动态行为提供有效帮助.最后通过数值模拟验证了这一结果.     

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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