混合设计模型固定效应估计的效率

本文首先给出了混合设计模型中度量估计效率的准则；并证明了在区组设计正交条件下，区组内估计，经曲ＬＳＥ的效率都是１。     

两个尺度参数估计的线性容许性

设Ｙ＝（ｙ１,ｙ２）′,ｙ１,ｙ２≥０;ＥＹ＝β＝（β１,β２）′,ＣｏｖＹ＝ｋｄｉａｇ（β２１,β２２）,β∈（Ｒ＋）２为参数,其中Ｒ＋＝（０,＋∞）,ｋ＞０为常数,我们估计β．估计类为Ｌ＝ＡＹ∶Ａ＝ａｂｃｄ为常数方阵,ａ,ｂ,ｃ,ｄ≥０｛｝．我们研究ＡＹ在Ｌ中的容许性,分别得到了二次损失函数、矩阵损失函数下,ＡＹ在Ｌ中是β的容许估计的充要条件和充分条件．     

混合模型及其导出模型下估计量间的关系

考虑混合模型Ａ＝｛ｙ,Ｘβ,Ｕξ,σｅ＾２Ｖ｝和它的三个导出模型,其中Ｘ,Ｕ＝（Ｕ１：…：Ｕｋ）为已知设计阵,β为固定效应向量,ξ’＝（ξ’：…：ξ’ｋ）为随机效应向量,且Ｖ≥０,Ｒ（Ｘ：Ｕ）∈Ｒ（Ｖ）。给出了可估函数Ｃβ在模型Ａ和其导出模型下的最佳线性无偏估计（ＢＬＵＥ）相等的充要条件,σｅ＾２在不同模型下最小范数二无偏估计（ＭＩＮＱＵＥ）相等的充要条件。     

多元线性模型回归参数M－估计的强相合性

讨论多元线性回归模型由极小化问题的解定义的Ｍ－估计β＿ｎ的强相合性，其中Ｘ＿ｉ为ｍ×ｐ矩阵．证明了：无论为随机向量（（ＶｅｃＸ）￣′，Ｙ′）的独立同分布观察向量还是Ｘ＿ｉ为已知的ｍ×ｐ设计阵，在适当的条件下β＿ｎ都是参数真值β＿０的强相合估计．     

向量损失函数下一般期望向量线性估计的可容许性

设Ｙ１，Ｙ２，…，Ｙｎ独立同分布，ＥＹ１＝Ｘβ，ＣｏｖＹ１＝∑＞０，Ｘｍｘｐ，是已知实矩阵，β∈Ｒｐ，∑＞０是未知参数。本文讨论了向量损失函数下一般期望向量估计的可容许条件，并得到了线性估计Ｌ１Ｙ１＋Ｌ２Ｙ２＋…＋ＬｎＹｎ是Ｓβ在线性估计类中客许的充要条件。     

运用正交设计法检验盐度和碱度对大银鱼的联合毒性

运用正交设计及联合毒性的相关设计和检验方法，研究了盐度和碱度对大银鱼存活的影响。盐度对大银鱼的２４ｈ、４８ｈ的半致死浓度ＬＣ５０分别为１６．０、１３．９，碱度对大银鱼的２４ｈ、４８ｈ的ＬＣ５０分别为４６．０、３１．３ｍＮ；盐度和碱度的交互作用（联合毒性）方差检验表现为差异显著，为协同作用；Ｍａｒｋｉｎｇ相加指数ＡＩ为０．７５，也表现为协同作用。     

混合模型中位置参数β0的估计

本文研究了在混合模型中位置参数β０的各种估计。     

Comparison between Minimax and GLS Estimators in Linear Regression Model with Ellipsoid Restrictions

对于线性回归模型Ｙ＝Ｘβ＋ε,ε～（０,σ２Ｗ）,其中σ２＞０,Ｗ为正定矩阵．当未知参数β受到椭球约束时,文中分别在矩阵均方误和加权均方误意义下比较了β的Ｍｉｎｉｍａｘ估计（ＭＩＬＥ）与广义最小二乘估计（ＧＬＳＥ）之差异,并分别导出了在此两种意义下ＭＩＬＥ优于ＧＬＳＥ的充分必要条件．     

运用正交设计法检验盐度和碱度对大银鱼的联合毒性

运用正交设计及联合毒性的相关设计和检验方法,研究了盐度和碱度对大银鱼存活的影响。盐度对大银鱼的２４ｈ,４８ｈ的半致死浓度ＬＣ５０分别为１６．０,１３．９‰,碱度对大银鱼的２４ｈ,４８ｈ的ＬＣ５０分别为４６．０,３１．３ｍＮ盐度和碱度交互作用（联合毒性）,方差检验表现为差异显著,为协同作用;Ｍａｒｋｉｎｇ相加指数ＡＩ为０．７５（〉０）,表现为协同作用。     

α-混合误差下纵向数据半参数回归模型的均方相合性

考虑误差为α-混合序列下的纵向数据半参数回归模型,基于广义最小二乘法和非参数权函数方法分别给出了模型中未知参数β和未知函数g（·）的估计,在适当条件下,证明了β和g（·）的估计量的均方相合性．     

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