点态Fuzzy算子群第三同构定理

本文证明了下述结果:1.令 H_1和 H_2是点态 M—Fuzzy 群 A 的 M—子群,H′_1和H′_2分别是 H_1和 H_2的 M—Fuzzy 正规子群,并且 H_1(e)=H_2(e)=H′_1(e)=H′_2(e),则(H_1∩H_2)H′_1/(H_1∩H′_2)H′_1和 H_1∩H_2/(H_1∩H′_2)H′_1∩(H_1∩H_2)是 M—同构的。2.令 H_1和 H_2是 M—点态 Fuzzy 群 A 的 M—子群,H′_1,H′_2分别是 H_1和 H_2的M—Fuzzy 正规子群,并且 H_1(e)=H_2(e)=H′_2(e)=H′_1(e),则(H_1∩H_2)H′_1/(H_1∩H′_2)H′_1与(H_1∩H_2)H′_2/(H′_1∩H_2)H′_2是 M—同构的。     

关于2×2算子矩阵的可逆性的一个注记

设 T=■为 Hilbert 空间 H=H_1H_2上的算子,A∈H_1),B∈(H_2,H_1),C∈(H_1,H_2),D∈(H_2).本文在 A、D 均可逆的假定下获得了 T 可逆的充要条件是 A—BD~(-1)C 与 D—CA~(-1)D 均可逆,并当这些条件满足时,T 的逆具有形式T~(-1)=■     

单分子水的鉴定、制备、性能及应用

本文采用与国外完全不同的研究思路和方法开展"水分子簇"理论研究,完成了单分子水(H_2O)_(n=1)与双分子水(H_2O)_(n=2)定量鉴定。对液体水中六环水(H_2O)_(n=1)、五角十二面体水、无穷大水分子定量测定作了叙述,研制成(H_2O)_(n=1)制取装置。本文用改进的Debye极性水分子测量装置,测定(H_2O)_(n=1)电学性能并有了重要发现,(H_2O)_(n=1)是超导体,(H_2O)_(n=1)是人体经络的物质基础,制定出(H_2O)_(n=1)现场测定的新方法。本文采用4套(H_2O)_(n=1)鉴定技术,发现地球上有七类地区存在(H_2O)_(n=1)(H_2O)_(n=1)与人类大健康的关系,(H_2O)_(n=1)发现可直接应用到国民经济及大健康中。防霾、封闭环境呼吸新鲜空气,肺疾医疗革命,养生、长寿、空调业、建筑业等构成"中国水谷"的开发应用。     

自反和超自反子空间的一些性质

本文给出了一些方法如何构造一些自反和超自反的子空间,讨论了它们的一些性质。在本文中,H表示复数域C上的Hilbert空间,所有投影均指正交投影。定义1 φ为L(H_1,H_2)的范数闭子空间,若T∈L(H_1,H_2),满足x∈H_1,Tx∈∈〔φx〕有T∈φ,则称φ为自反的。. 定义2 φ为L(H_1,H_2)的范数闭子空间,称φ为超自反的,如果存在常数K满足T∈∈L(H_1,H_2), d(T,φ)≤ksup{‖P~1TQ‖:P、Q分别为H_2和H_1中的投影并且P~1φQ=0}。满足上式的最小常数k记为k(φ)。引理1 若φ为L(H_1,H_2)中范数闭的子空间,则T∈L(H_1,H_2),sup{d(Tx,φx):     

向量值函数奇异积分加权模不等式

§1 引言 设H_1和H_2是两个可分的Hilbert空间,用|·|_(H_1)和|·|_(H_2)分别记它们的模,B=B(H_1,H_2)是从H_1到H_2的有界线性算子的空间,用|·|_B记它的模,它是一个Banach空间。我们称向量值函数f(x):R~n→H_i属于L~P(dx,H_i),如果,对1≤P<∞,     

P538萃取Na~+的研究

用分配法考察了单烷基磷酸酯 P538(H_2A)从盐酸或硫酸介质中对 Na~+的萃取,结果表明两体系的萃取平衡均为Na~(+)+4(H_2A)_(j(0))={NaHA·(4j-1)H_(2)A}_((0))+H~+其中 j 为 H_2A 的聚合度。由实验得到表现萃取平衡常数为10~(-1)·~(24)(盐酸介质)和10~(-1)·~(48)(硫酸介质)。     

图谱半径的一个不等式

设G是一个简单连通图,v是G的一个割点,G_1,G_2…G_p(p≥2)是G的v—分支,q是一个正整数(1≤q≤p)。令H_1=G_1∪G_2∪…∪G_q,H_2=G_(q+1)∪…∪G_p,ρ,ρ_1,ρ_2分别是G,H_1和H_2的谱半径。则有不等式     

基于一类混合配位点有机配体合成的3个配位聚合物

利用一类研究相对有限的混合配位点配体(同时含有间苯二甲酸和四氮唑有机片段分别提供N-/O-配位点)与不同的金属离子配位得到3个配位聚合物([Eu (TZI)(H_2O)_5]·2H_2O (1)、[Tb(TZI)(H_2O)_4]·5H_2O (2)和[Cd(H_2TZPI)_2(H_2O)_4]·H_2O (3)).结构分析表明化合物1和2具有相似的1D双链结构,而化合物3具有0D结构,它通过非共价相互作用(O—H…N、N—H…O和C—H…O相互作用)进一步形成3D超分子结构.研究3个化合物的热稳定性,并探究它们的发光性能.同时,对研究相对较少的H_3TZPI有机配体的配位方式进行总结和讨论.     

开链聚醚配体及其镧系锕系配合物的合成与表征

用1,4—二(2′—甲酰基苯基)—1,4-二氧杂丁烷和1,7—二(2′—甲酰基苯基)—1,4,7—三氧杂庚烷,在相转移催化剂存在下,用 KMnO_4氧化,制得了两种键端为羧酸的开链聚醚配体:2,2′—(1,4—亚乙二氧基)—二苯甲酸(H_2L~1)和2,2′—(1,7—二乙醚二氧基)—二苯甲酸(H_2L~2)。用元素分析,红外光谱对它们进行了表征。在甲醇或水介质中,制得了 H_2L~1和 H_2L~2的镧系元素固体配合物,通式分别为 LnL~1(NO_2)·nH_2O 和 Ln_2L(_3~2)·nH_2O(Ln=La—Lu,Pm 除外);在甲醇介质中还制得了它们的 UO(_2~(2+))和 Th~(4+)配合物,UO_2L~1·6H_2O,UO_2L~2·3H_2O,ThL(~1_2)·H_2O 和 ThL(~2_2)·5H_2O。     

氯化胆碱-水合草酸低共熔溶剂中ZnO的溶解行为

以氯化胆碱(ChCl)和水合草酸(H_2C_2O_4·2H_2O)为原料合成氯化胆碱/水合草酸低共熔溶剂(ChCl/H_2C_2O_4·2H_2O DESs)。研究ChCl/H_2C_2O_4·2H_2O DESs的组成与熔点的关系,1ChCl:1H_2C_2O_4·2H_2O DES的黏度、电导率与温度的关系,ZnO在1ChCl:1H_2C_2O_4·2H_2O DES中的溶解度及溶解行为。研究结果表明:1ChCl:1H_2C_2O_4·2H_2O DES的低共熔点为9℃,在150℃以内具有热稳定性;随温度从297 K升高到333 K,1ChCl:1H_2C_2O_4·2H_2O DES的黏度从199.4 m Pa·s降低到35.6 m Pa·s,电导率则从3.55 m S/cm增大至15.01 m S/cm,ZnO的溶解度由0.310 mol/L增至0.860 mol/L;未发现ZnO与体系中的正离子或负离子结合成离子物种形式存在,溶解于1ChCl:1H_2C_2O_4·2H_2O DES中的ZnO与体系中的草酸反应生成可溶于该体系的ZnC_2O_4。     

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.     

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     

An affordable accurate evaluation of the binding conformations predicted by molecular docking studies in bio-system

Franck-Condon factors bridge the gap between theoretical modeling and experimental observations for molecular electronic spectroscopy and electron transfer.Under the displaced harmonic oscillator approximation,multidimensional Franck-Condon factors are decomposed into a product of many one-dimensional(1D)Franck-Condon(FC)factors,and each 1D-FC factor is associated with one Huang-Rhys factor that determines the leading contribution of     

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~~