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SELF-CANCELLATION OF MODULES HAVING THE FINITE EXCHANGE PROPERTY

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Chinese Annals of Mathematics,Series B 2005年第1期26卷 111-118页

作者： CHENHUANYIN DepartmentofMathematics HunanNormalUniversityChangsha410006China

Self-cancellation of modules having the finite exchange property is introduced. If a right R-module M has the finite exchange property, it is shown that M has selfcancellation if and only if EndR(M) is a strongly sepa... 详细信息

关键词： Self-cancellation Strong separativity

Stark Effect of a Three-Level Atom in a Circularly Polarized Electromagnetic Wave

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Chinese Physics Letters 1998年第6期15卷 407-409页

作者： ZENG Gao-jian ZHANG Jing-tao Department of Physics Hunan Normal UniversityChangsha 410006

The Schrödinger equation of a three-level atom in an electromagnetic wave of circular polarization is *** solution to this equation shows that under the action of the circular polarized electromagnetic wave,the levels of aΣ-type atom split into nine sublevels,while those of a V-type orΛ-type atom split into six *** means of some special tuning ways and approximation conditions,the energies of the spilt levels are expressed in simpler forms.

关键词： circular equation simpler

RADON ANOMALY AND ROCK SLIDE PREDICTION

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Nuclear Science and Techniques 1993年第3期4卷 186-188页

作者：伍祥生 Hunan Normal University Changsha 410006 Chin

In order to explore whether radon anomaly could be considered the precursor of rock slide, the forming mechanism of the radon anomaly is qualitatively analysed according to the relationship between rock rupture and radon content. It is indicated that the rock microfracture may be one of the reasons leading to the radon anomaly before rock slide, suggesting that the CR-39 solid state nuclear track detector could be used to monitor the radon concentration in the region of the slide. The information may then be used to predict rock slide.

关键词： Radon anomaly Rock slide prediction Alpha track method

Coherent State of N Components and Cycle Representation

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Chinese Physics Letters 1995年第3期12卷 132-135页

作者： ZENG Gaojian KUANG Leman LI Jinhui Department of Physics Hunan Normal UniversityHunan 410006

In this paper,we construct a type of coherent state with N components,and use it to span cycle representations of the Lie algebras SU(2),SU(1,l)and the Lit:superalgebra OSP(1,2).The method for constructing cycle repre... 详细信息

关键词： cycle constructing coherent

Relationship Between the Coulomb and Oscillator Problems in Arbitrary Dimensions

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Chinese Physics Letters 1994年第12期11卷 724-726页

作者： ZENG Gaojian SU Kalin LI Min Department of Physics Hunan Normal UniversityChangsha 410006

It is shown that there is a simpler relationship between the energy eigenstates of a d-dimensional hydrogen atom and those of a D-dimensional harmonic oscillator,which is important in application.

关键词： simpler harmonic oscillator

An Efficient WRF Framework for Discovering Risk Genes and Abnormal Brain Regions in Parkinson's Disease Based on Imaging Genetics Data

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Journal of Computer Science & Technology 2021年第2期36卷 361-374页

作者： Xia-An Bi Zhao-Xu Xing Rui-Hui Xu Xi Hu College of Information Science and Engineering Hunan Normal UniversityChangsha 410006China Hunan Provincial Key Laboratory of Intelligent Computing and Language Information Processing Hunan Normal UniversityChangsha 410006China

As an emerging research field of brain science,multimodal data fusion analysis has attracted broader attention in the study of complex brain diseases such as Parkinson's disease(PD).However,current studies primarily lie with detecting the association among different modal data and reducing data *** data mining method after fusion and the overall analysis framework are *** this study,we propose a weighted random forest(WRF)model as the feature screening *** interactions between genes and brain regions are detected as input multimodal fusion features by the correlation analysis *** implement sample classification and optimal feature selection based on WRF,and construct a multimodal analysis framework for exploring the pathogenic factors of *** experimental results in Parkinson's Progression Markers Initiative(PPMI)database show that WRF performs better compared with some advanced methods,and the brain regions and genes related to PD are *** fusion of multi-modal data can improve the classification of PD patients and detect the pathogenic factors more comprehensively,which provides a novel perspective for the diagnosis and research of *** also show the great potential of WRF to perform the multimodal data fusion analysis of other brain diseases.

关键词： multimodal fusion feature Parkinson's disease pathogenic factor detection sample classification weighted random forest model

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On JB-Rings

Chinese Annals of Mathematics,Series B 2007年第6期28卷 617-628页

作者： Huanyin CHEN Department of Mathematics Hunan Normal University Changsha 410006 China.

A ring R is a QB-ring provided that aR ＋ bR = R with a, b E R implies that there exists a y E R such that a＋ by ∈ Rq^-1. It is said that a ring R is a JB-ring provided that R/J（R） is a QB-ring, where J（R） is the Jacobson radical of R. In this paper, various necessary and sufficient conditions, under which a ring is a JB-ring, are established. It is proved that JB-rings can be characterized by pseudo-similarity. Furthermore, the author proves that R is a JB-ring iff so is R/J（R）^2.

关键词： JB-Rings Exchange rings Subdirect product

Composition operators on the normal weight Dirichlet type space in the unit disc

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Frontiers of Mathematics in China 2022年第4期17卷 545-552页

作者： Xuejun ZHANG Min ZHOU Hongxin CHEN College of Mathematics and Statistics Hunan Normal UniversityChangsha410006China

Let p>0 andνbe a normal function on[0,1).In this paper,several equivalent characterizations are given for which composition operators are bounded or compact on the normal weight Dirichlet type space D_(ν)^(p)(D)in t... 详细信息

关键词： Composition operator normal weight Dirichlet type space boundedness compactness unit disc

Composition Cesàro Operator on the Normal Weight Zygmund Space in High Dimensions

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Chinese Annals of Mathematics,Series B 2021年第1期42卷 69-84页

作者： Si XU Xuejun ZHANG Shenlian LI College of Mathematics and Statistics Hunan Normal UniversityChangsha 410006China

Let n>1 and B be the unit ball in n dimensions complex space C^(n).Suppose thatφis a holomorphic self-map of B andψ∈H(B)withψ(0)=0.A kind of integral operator,composition Cesàro operator,is defined by T_(φ)ψ(f)(z)=∫^(1)0f[φ(tz)]Rψ(tz)dt/t,f∈(B)z∈*** this paper,the authors characterize the conditions that the composition Cesàro operator T_φ,ψis bounded or compact on the normal weight Zygmund space Z_μ(B).At the same time,the sufficient and necessary conditions for all cases are given.

关键词： Normal weight Zygmund space Composition Cesàro operator Boundedness and compactness