次Hermite矩阵的次正定性

若ｎ阶次Ｈｅｒｍｉｔｅ矩阵Ａ，对任意非零向量Ｘ＇＝（ｘ＿１，ｘ＿２，…ｘ＿ｎ）∈Ｒ￣ｎ，有ＡＸ＞０，则称次Ｈｅｒｍｉｔｅ矩阵Ａ是次正定的．给出了判定次Ｈｅｒｍｉｔｅ矩阵次正定的几个充要条件：定理ｎ阶次Ｈｅｒｍｉｔｅ矩阵Ａ是次正定的，当且仅当下列条件之一成立：（ｌ）Ｈｅｒｍｉｔｅ矩阵ＪＡ是正定的；（２）存在ｎ阶可逆复矩阵Ｐ，使ＡＰ＝Ｊ；（３）次Ｈｅｒｍｉｔｅ矩阵Ａ的４ｋ阶，４ｋ十互阶下次主子式为正，４ｋ＋２阶，４ｋ＋３阶下次主子式为负；（４）存在ｎ阶可逆复矩阵Ｐ，使其中λ＿ｉ＞０，ｉ＝１，２，…，ｎ。     

交Hermite矩阵的次正定性

若ｎ阶次Ｈｅｒｍｉｔｅ矩阵Ａ，对任意非零向量Ｘ＾ｔ＝（ｘ１，ｘ２，…ｘｎ）∈Ｒ＾１，有Ｘ＾ＳＴＡＸ〉０，则称次Ｈｅｒｍｉｔｅｔ矩阵Ａ是次正定的。     

关于某些迭代矩阵谱半径的上界

设Ａ＝（ａｉｊ）∈Ｃｎ×ｎ,ａｉ≠０,ｉ＝１,２,…,ｎ,Ｄ＝ｄｉａｇＡ,Ｅ、Ｆ均为Ｄ－Ａ的一部分,且Ｅ＋Ｆ＝Ｄ－Ａ．Ｒ＝ｄｉａｇ｛ｒ１,…,ｒｎ｝,Ω＝ｄｉａｇ｛ｗ１,ｗ２,…,ｗｎ｝,Ｒ＝ｄｉａｇ｛ｒ１,ｒ２,…,ｒｎ｝,Ω＝ｄｉａｇ｛ｗ１,ｗ２...     

等度变换微分方程的解的唯一性

给定欧氏空间Ｒ＾ｎ上正定矩阵（ａｉｊ）ｎ×ｎ：Ｒ＾ｎ→ＧＬ（ｎ，Ｒ），本文借助测地理论获得了非线性椭圆型微分方程组解的唯一性定理。其中ｙ＾ｉ＝ｙ＾ｉ（ｘ），ｘ∈Ｒ＾ｎ为未知函数。     

Gn的一种完全因子

设ｎ＝２＾λ－１＋ｔ，λ〉２，０≤ｔ〈２＾λ－１。反馈函数ｘｎ＝ｆ（ｘ０，ｘ１，…，ｘｎ－１）＝１＋ｘ０＋Σｉ∈Ｉｔ（ｘｉ＋ｘｎ－ｉ）产生ｎ阶ｄｅ Ｂｒｕｉｊｎ－Ｇｏｏｄ图Ｇｎ的一个完全因子ＰＦλ（２＾λ－１＋ｔ）其中Ｉｔ＝｛ｔ；（ｔｉ）是奇整数，１≤ｉ≤ｔ｝。     

关于矩阵方程∑(from i=1 to n) A_iX_iB_i=F的可解性

本文考虑含有ｎ个未知矩阵Ｘ１,Ｘ２,Ｘ３,…,Ｘｎ的非齐次矩阵方程：Ａ１Ｘ１Ｂ１＋Ａ２Ｘ２Ｂ２＋…＋ＡｎＸｎＢｎ＝Ｆ,（１）其中Ａｉ∈Ｃｍ×ｌｉ,Ｂｉ∈Ｃｐｉ×ｑ,Ｘｉ∈Ｃｌｉ×ｐｉ,Ｆｉ∈Ｃｍ×ｑ．我们先给出一个求解的方法;然后利用矩阵的拉直运算和...     

广义拉丁矩阵的计数

我们定义（ａｉｊ）ｐ×ｉｐ矩阵为广义拉丁矩阵，若满足ａｉｊ∈Ｐ＝｛１，２，…，ｐ｝矩阵的每列都是Ｐ的全排列，对任意的ｉ∈Ｐ在每行恰出现λ次，本文得到它的计数公式Ｕ（ｐ，λｐ）．当λ＝１时，该公式就成ｐ阶拉丁方的计数公式     

关于广义Fibonacci矩阵的Fermat方程

设ｍ是大于１的正整数，Ａｍ是ｍ阶广义Ｆｉｂｏｎａｃｃｉ矩阵，＝｛Ａｋｍ｜ｋ∈Ｚ，ｋ≥０｝，本文证明了：Ｆｅｒｍａｔ方程Ｘｎ＋Ｙｎ＝Ｚｎ，Ｘ、Ｙ、Ｚ∈Ｚ，ｎ∈ＩＮ，ｎ＞２，无解（Ｘ，Ｙ，Ｚ，ｎ）。     

解区间线性方程组AOR方法的收敛性

设Ａ为 ｎ阶区间矩阵且（其中 Ｄ＝ｄｉａｇ） 　为Ａ的严格下（上）三角区间阵），ｂ为ｎ维区间向量。本 文给出解区间线性方程组Ａｘ＝ｂ的ＡＯＲ方法：，其中 并证明了该方 法当Ａ为严格对角占优阵时收敛于唯一的区间解。作为本方法的特例，还给出了区 间Ｊａｃｏｂｉ法、Ｇａｕｓｓ－Ｓｅｉｄｅｌ法和ＳＯＲ法相应的收敛定理。     

矩阵的一个定理和线性方程组解的结构

设Ａ∈Ｍ＿（ｍ×ｎ）（Ｆ），则存在ｍ阶可逆矩阵Ｐ和ｎ阶可逆矩阵Ｑ，使其中ｒ＝Ｒ（Ａ）；本文还讨论了一般线性方程组Ａ＿（ｍｎ）Ｘ＿（ｎ１）＝ｂ＿（ｍ１）的可解性及解的结构与矩阵Ｐ，Ｑ之间的关系。     

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     

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

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Brief Introduction to “Journal of Jilin University( Science Edition) ”

<正>"Journal of Jilin University(Science Edition)"is a comprehensive academic journal in the fields of science sponsored by Jilin University and administrated by the Ministry of Education of the Peoples Republic of China.The journal started publication in 1955.The original name at starting publication was"Journal of Natural Science of Northeast People University",which was changed into"Acta Scientiarum Naturalium Universitatis Jilinensis"in 1958 owing to the name change of the university.The present journal name has