Lorenz映射中的拓扑熵递减级联

利用推广的ＭｉｌｎｏｒＴｈｕｒｓｔｏｎ 揉理论和Ｓｔｅｆａｎ 转移矩阵，给出Ｌｏｒｅｎｚ 映射拓扑熵的２ 种计算方法；利用揉理论，研究复合词揉多项式的因子化、＊ 积对拓扑熵的变换及通向混沌的２ 类道路之一：拓扑熵递减并趋向零的道路．     

求拓扑熵的差分方法

根据拓扑熵的定义公式，用逆像点个数的方法找到了有限长度超稳揉序列词的拓扑熵的差分关系式．该函数关系式直接依赖于揉序列词。     

Topological Entropy Reduction Cascade in Lorenz Maps

利用推广的Milnor-Thurston揉理论和Stefan转移矩阵，给出Lorenz映射拓扑熵的2种计算方法；利用揉理论，研究复合词揉多项式的因子化、*积对拓扑熵的变换及通向混沌的2类道路之一拓扑熵递减并趋向零的道路.     

洛伦兹映射拓扑熵计算的一点技巧

将Stefan矩阵推广用于含间断点的洛伦兹映射拓扑熵的计算,并应用揉理论进行了验证。     

熵可扩流的拓扑压

对紧致度量空间上的熵可扩流的拓扑压进行了研究．证明了对流和其时刻1映射而言,熵可扩性是一种不变性质,并由此得到了熵可扩流的拓扑压的简化计算公式．     

测度空间的拓扑序列熵

给定一个拓扑动力系统（X，T），记M（X）为X上Borel概率测度的全体，其上的拓扑由弱拓扑所诱导．如果系统（X，T）具有零拓扑序列熵，则它称为拓扑-null的．对于给定的一个伪度量空间以及其上的一个自映射（不必连续），引入并研究沿着给定序列的拓扑熵，包括由空间上连续实值函数所诱导的伪度量．作为应用可以证明，给定一个序列A包含于Z＋，如果X为零维的，那么，系统（X，T）沿着A具有零拓扑熵当且仅当（M（X），T）沿着A具有零拓扑熵．特别的，当X为一个零维空间时，系统（X，T）为拓扑-null的当且仅当（M（X），T）为拓扑-null的．     

超空间拓扑动力系统的拓扑熵问题

研究拓扑动力系统（X,f）的拓扑熵ent^＊（f）和它诱导的超空间拓扑动力系统（K（X）,f^-）拓扑熵ent^＊（f）之间的关系。利用拓扑熵ent^＊（f）的性质,以拓扑动力系统与它诱导的超空间拓扑动力系统之间的关系为切入点。得出了拓扑动力系统（X,f）的拓扑熵不大于它诱导的超空间拓扑动力系统（K（X）,f^-）的拓扑熵;当拓扑动力系统（X,f）的拓扑熵大于0时,超空间拓扑动力系统（K（X）,f^-）的拓扑熵为∞。ent^＊（f）具有Adler拓扑熵和Bowen拓扑熵的一般性质。     

关于熵的可交换性

不管在测度空间还是拓扑空间上,两个连续映射复合后,其熵与复合的先后次序有关,但满足一定条件后,有些复合的顺序是可以交换的,即交换秩序后的熵保持不变.详细回顾了一些关于熵的定义,讨论了两个映射复合后其测度熵、测度序列熵、拓扑熵、拓扑序列熵、二维映射的拓扑熵、旋转熵及拓扑压的可交换性.     

两类拓扑熵的关系

Bowen给出的拓扑熵与Pesin给出的拓扑熵条件都要比开覆盖定义的拓扑熵条件宽泛.但是他们的条件又不一样,各有局限性.讨论了Bowen给出的拓扑熵与Pesin给出的拓扑熵的之间的关系,证明了二者在条件一致的情况下是等价的.     

Sofic系统与混沌

证明具有正的拓扑熵的 Ｓｏｆｉｃ 系统是混沌系统．     

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.     

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     

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