自同构群阶为16p3(P为奇素数)的有限幂零群

利用有限幂零群G的自同构群Aut(G)的阶来刻画群G的构造.在刻画的过程中,本文先通过某些有限P-群Q的自同构群Aut(Q)的阶来确定了群Q的结构,然后根据幂零群的性质:G可分解为它的所有Sylpi(G)(i=1,…,n)的直积,通过分类讨论的Aut(P1)阶,从而给出了自同构群阶为16p3(p为奇素数)的有限幂零群的...     

中心循环且中心商群的阶为p~6的一类新LA-群

借助中心群的特征,得到了有限p-群的一个重要类,即中心循环且中心商群同构于文献中p6阶群第41家族Φ41(16)的有限非循环p-群(见:惠敏,自同构群的阶的若干研究,广西大学硕士论文,2012年).在此基础上得出了群的自同构群的正规子群R,通过对R和群G的阶的比较,进一步验证了它是LA-群.     

有关J-群的一些结论

称有限群G为J-群,若对任意p∈(G)及a,b∈G,只要o(a)=o(b)=p,就有ab=ba成立.本文讨论这类群的一些基本性质,并给出了它的相关应用.     

先天八卦科学内涵初探

运用群论及其方法研究中华易经八卦,揭示了先天八卦图和太极图的一个科学内涵即其数学结构;获得了如下结果:①先天八卦图构成一个群,它与四元数群同构,太极图构成它的中心;②伏羲八卦群连同太极符号生成实数域上的一个八维非结合交错代数,它与Cayley代数同构;③由伏羲八卦群可以构造出所有的2n(n>3)卦(2n阶)群.     

有限可解(q)群与(s-q)群的一个注记

设G是有限群,G的一个子群称为拟正规子群,若它与G的所有子群可交换。G的一个子群称为S-拟正规子群,若它与G的所有Sylow子群可交换.G称为(q)-群(或(s-q)-群),如果它的每一个次正规子群都是拟正规子群(或s-拟正规子群).     

一类有可换Sylow 2-子群的8p~3阶群的完全分类

设p为奇素数(p≠3,7),G是Sylow 2-子群是型为(22,2)的8阶交换群C4×C2的8p3阶群,利用群在群上的作用理论,对群G进行了完全分类并确定了它的全部构造,即:1)当p≡1(mod 4)时,G恰有74个彼此不同构的类型;2)当p≡3(mod 4)时,G恰有40个彼此不同构的类型。     

群上亚同态的一个结构性定理及其应用

给出群上亚同态的一个结构性定理.作为它的一个应用,给出了对称群Sn>(n≥5)上的亚同态的分类的一个新证明.     

p6阶若干家族群的自同构群的阶*

目的确定p~6阶群Φ_(31)到Φ_(35)家族中所有群的自同构群阶。方法在1980年Rodney James文章中对p~6阶群的分类基础上,运用数论与群论知识并结合矩阵方程的方法。结果与结论给出了p~6阶群Φ_(31)到Φ_(35)家族所有群的自同构群的阶。     

模糊群的同态

在模糊群之间引入了同态的概念 ,证明了子模糊群的同态象仍为子模糊群 ,子模糊群 (正规子模糊群 )的原象仍为子模糊群 (正规子模糊群 ) ,并给出了模糊群的同态基本定理 .     

元素的阶与幂零群的刻画

给出了幂零群及交换群的一个等价刻画,证明了若有限群G是交换(幂零)群当且仅当G的相同(互素)的素幂阶元素交换.     

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.     

Design and analysis of generic LBS application developing platform

Location based services is promising due to its novel working style and contents.A software platform is proposed to provide application programs of typical location based services and support new applications developing efficiently. The analysis shows that this scheme is easy implemented, low cost and adapt to all kinds of mobile nework system.     

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