Bernsteinα-多项式对单调函数的保持性质

研究了文献[1]中提出的一元Bernstein α-多项式，给出其关于函数单调性的保持性质，并构造出单纯形上二元Bernstein α-多项式，也给出类似于一元的结果．     

单纯形上的二元Bernstein多项式和连续模

文[1]给出Bernstein多项式几个新的性质，本文证明单纯形上的二元Bernstein多项式具有类似的性质．     

单纯形上Bernstein多项式的导数与函数的光滑性

本文研究单纯形上Bernstein多项式的导数与函数的光滑性之间的等价关系。     

一种推广的二元Bernstein型算子的逼近性质

构造出单纯形上一种推广的二元Bernstein型算子,给出其在定义域上一致收敛的充分必要条件和几个逼近定理.     

一种推广的二元Bernstein型算子的某些保持性质

构造出单纯形上一种推广的二元Bernstein型算子,给出了这种算子关于函数单调性、凸性以及连续模的几个保持性质.     

修正后的Lagrange插值多项式的逼近阶

对Ｌａｇｒａｎｇｅ 插值多项式进行了修正,构造了一个算子,它对于在区间［ － １ ,１］ 上有任意阶连续导数的函数都一致收敛,并且收敛阶达到了最佳,而且算子的最高收敛阶为１／ ｎｒ ．     

单纯形上Bernstein多项式的渐近展开式及关于阶的高阶差分(英文)

给出了单纯形上两个相邻Bernstein多项式的差的一个估计式以及Bernstein多项式的一个渐近展开式并讨论了Bernstein多项式关于阶的高阶差分,得到一个极限公式。     

单纯形上Bernstein-Stancu-Durrmeyer算子的一致逼近等价定理

利用Ditzian -Totik光滑模和K -泛函间的等价性 ,并借助最佳逼近多项式理论 ,对定义在单纯形上连续函数空间上的多元Bernstein -Stancu-Durrmeyer算子给出了一个积分型估式及弱型逆定理 ,并由此建立等价定理 ,从而进一步深化了对Stancu型算子的研究     

单纯形上Meyer-K■nig and Zeller算子逼近

通过建立单纯形上Meyer—KonigandZeller算子的Jackson和Bernstein型不等式,得到了该算子在连续函数空间上的逼近正定理以及在子类上的逼近逆定理．     

二元Kantorovitch算子在Lp空间中的逼近阶估计

文中给出了二元Kantorovitch多项式算子的表达形式并且通过引进K -泛函这一新的数学概念 ,进一步研究了定义在单纯形上二元Kantorovitch算子的一些性质 ,估计了它在Lp 空间中逼近函数时的收敛速度 ,所得结论推广了文献 [3]和文献 [4 ]中的主要结果。     

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     

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