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OPTIMAL CONTROL OF MULTISOLUTION ORDINARY DIFFERENTIAL EQUATIONS IN THE ABSENCE OF CONVEXITY

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Journal of Systems Science & Complexity 2010年第2期23卷 321-333页

作者： Shu LUAN Hang GAO school of mathematics and Computation Science Zhanjiang Normal College Zhanjiang 524048 China. school of mathematics and statistics Northeast Normal University Changchun 130024 China.

In this paper,the authors study an optimal control problem governed by a class of multistateordinary differential equations in the absence of *** overcome the difficulty that thecorresponding approximate optimal control problem may have no solution,relaxed controls are *** the help of relaxation theory,Pontryagin's maximum principle for the optimal pairs ofthe original control problem is *** the end of this paper,the authors discuss the applicationof the maximum principle by an example.

关键词：最优控制问题常微分方程多尺度作者高原凸性

A general type of twisted anomaly cancellation formulas

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Science china.mathematics 2010年第7期53卷 1684-1695页

作者： WANG Yong school of mathematics and statistics, northeast normal university, changchun 130024, china school of mathematics and statistics Northeast Normal University Changchun China

For even-dimensional manifolds, we prove some twisted anomaly cancellation formulas which generalize some well-known cancellation formulas. For odd dimensional manifolds, we obtain some modularly invariant characteris... 详细信息

关键词： modular invariance transgression cancellation formulas

EQUIVARIANT HEAT INVARIANTS OF THE LAPLACIAN AND NONMININMAL OPERATORS ON DIFFERENTIAL FORMS

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Acta Mathematica Scientia 2011年第3期31卷 805-814页

作者：王勇 school of mathematics and statistics northeast normal university

In this paper,we compute the first two equivariant heat kernel coeffcients of the Bochner Laplacian on differential *** first two equivariant heat kernel coeffcients of the Bochner Laplacian with torsion are also *** also study the equivariant heat kernel coeffcients of nonminimal operators on differential forms and get the equivariant Gilkey-Branson-Fulling formula.

关键词： equivariant heat kernel asymptotics Bochner Laplacian nonmininmal operators Gilkey-Branson-Fulling formula

The restricted EM algorithm under linear inequalities in a linear model with missing data

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Science china.mathematics 2005年第6期48卷 819-828页

作者： ZHENG Shurong, SHI Ningzhong & GUO Jianhua school of mathematics and statistics, northeast normal university, changchun 130024, china.Institute of mathematics, Jilin university, changchun 130012, china school of mathematics and statistics Northeast Normal University Changchun China Institute of mathematics Jilin University Changchun China

This paper discusses the maximum likelihood estimate of β under linear inequalities A0β≥ a in a linear model with missing data, proposes the restricted EM algo rithm and proves the convergence.

关键词： EM algorithm, linear model, maximum likelihood estimate, missing data.

Infinite-dimensional Hamiltonian Lie superalgebras

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Science china.mathematics 2010年第6期53卷 1625-1634页

作者： MU Qiang1,2 & ZHANG YongZheng1,1school of mathematics and statistics,northeast normal university,changchun 130024,china.2school of mathematics,Harbin normal university,Harbin 150025,china school of mathematics and statistics Northeast Normal University Changchun China school of mathematics Harbin Normal University Harbin China

The natural filtration of the infinite-dimensional Hamiltonian Lie superalgebra over a field of positive characteristic is proved to be invariant under automorphisms by characterizing ad-nilpotent *** are thereby able to obtain an intrinsic characterization of the Hamiltonian Lie superalgebra and establish a property of the automorphisms of the Lie superalgebra.

关键词： Hamiltonian superalgebra filtration automorphism

THE BLUE AND MINQUE IN GAUSS-MARKOFF MODEL WITH LINEAR TRANSFORMATION OF THE OBSERVABLE VARIABLES

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Acta Mathematica Scientia 2007年第1期27卷 203-210页

作者：张宝学 Department of statistics northeast normal university

For a singular linear model A = （y, Xβ, σ2 V） and its transformed model MF = （Fy, FXβ, σ 2FVF＇）, where V is nonnegative definite and X can be rank-deficient, the expressions for the differences of the estimates for the vector of FXβ and the variance factor σ2 are given. Moreover, the necessary and sufficient conditions for the equalities of the estimates for the vector of FXβ and the variance factor σ2 are also established. In the meantime, works in Baksalary and Kala （1981） are strengthened and consequences in Puntanen and Nurhonen （1992）, and Puntanen （1996） are extended.

关键词： Singular linear model BLUE MINQUE linear transformation

DERIVATIONS AND EXTENSIONS OF LIE COLOR ALGEBRA

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Acta Mathematica Scientia 2008年第4期28卷 933-948页

作者：张庆成张永正 school of mathematics and statistics Northeast Normal University

In this article,the authors obtain some results concerning derivations of finitely generated Lie color algebras and discuss the relation between skew derivation space SkDer（L）and central extension H^2（L,F）on some Lie color ***,they generalize the notion of double extension to quadratic Lie color algebras,a sufficient condition for a quadratic Lie color algebra to be a double extension and further properties are given.

关键词： Derivation central extension double extension quadratic Lie color algebra

A PSTAIRE CDK-like protein localizes in nuclei and cytoplasm of Physarum polycephalum and functions in the mitosis

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Cell Research 2004年第2期14卷 169-175页

作者： Gui Ying LI~(1,2), Miao XING~(1,*), Bo HU~(1,3) ~1College of Life Science, Shenzhen Key Laboratory of Microbial Gene Engineering, Shenzhen university, Shenzhen 518060, china. ~2Department of Immunology, school of Basic Medical Sciences, Jilin university, changchun 130021, china.~3Institute of Genetics and Cytology, northeast normal university, changchun 130024, china. College of Life Science Shenzhen Key Laboratory of Microbial Gene Engineering Shenzhen University Shenzhen China Department of Immunology School of Basic Medical Sciences Jilin University Changchun China Institute of Genetics and Cytology Northeast Normal University Changchun China

CDKs play key roles in controlling cell cycle progression in all eukaryotes. In plants, multiple CDKs are present, among which the best characterized CDKs are PSTAIRE CDKs. In this study, we carried out Western blot, immunoelectron microscopy and antibody treatment with an anti-PSTAIRE monoclonal antibody to explore the subcellular localization and functions of PSTAIRE CDKs in Physarum polycephalum. The results of Western blot and immunoelectron microscopy showed that in P. polycephalum, a PSTAIRE CDK-like protein was 34 kD in molecular weight and located in both nuclei and cytoplasm. In nuclei, the protein was mainly associated with chromosomes and nucleoli. The expression of the PSTAIRE CDK-like protein in both the plasmodia and nuclei showed little fluctuation through the whole cell cycle. When treated with an anti-PSTAIRE monoclonal antibody at early S phase, the cells were arrested in S phase, and the mitotic onset of P. polycephalum was blocked for about 1 h when treated at early G2 phase. Our dat

关键词： PSTAIRE CDK-like protein Physarum polycephalum mitosis immunoelectron microscopy.

On The Research of Foreign and Domestic Human Capital Theory

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Chinese Journal of Population,Resources and Environment 2005年第4期3卷 61-65页

作者： Li Fuzhu school of Urban and Environmental Science, northeast normal university, changchun 130024, china

Human Capital Theory came into being in the middle and later periods of the 20th century. A lot of achievements have been made on the research in its connotation, measures of the value, investment and income, function mechanism and so on, by foreign scholars. In recent 10 years of the new Millennium alternation, the "steal business effect" and the structure of human capital on the mechanism of economic rise has become the two emphasis in current foreign Human Capital Theory’s research. On the basis of foreign researches and Chinese situations, domestic scholars have enriched and developed it, but there are many disparities in its methods, aspects and levels between foreign and domestic researches.

关键词： Human Capital Theory (HCT) research western developed countries china