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A new definition of restricted Lie superalgebras

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Chinese Science Bulletin 2000年第4期45卷 316-321页

作者： WANG Ying & ZHANG Yongzheng1. department of mathematics, {2. institute technology, {2. 150001, China 2. department of mathematics, Northeast Normal University, Changchun 13002., China department of mathematics Harbin Institute Technology Harbin China department of mathematics Northeast Normal University Changchun China

A new definition of restricted Lie superalgebras has been given; some important results on the representation theory of restricted Lie superalgebra have been obtained.

关键词： restricted Lie superalgebra p-mapping p-semilinear mapping α-representation.

Three-dimensional configurations of organic/inorganic hybrid nanostructural blocks (I).A quantum mechanical investigation for ladder-like structure of vinylsilsesquioxane

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Science China Chemistry 2004年第5期47卷 388-395页

作者： ZHANG Xingwen1,2. HU Lijiang1, HUANG Yudong1, SUN Dezhi2.& SUN Yi3 1. department of Applied Chemistry,harbin {2. of technology, HUANG Yudong, harbin 150001, China 2. department of Environmental Engineering, harbin institute of technology, harbin 150001, China 3. department of Experimental Mechanics,harbin {2. of technology, harbin 150001, China Dept. of Applied Chem. Harbin Inst. of Technol. Harbin 150001 China Dept. of Environ. Eng. Harbin Inst. of Technol. Harbin 150001 China Dept. of Experimental Mech. Harbin Inst. of Technol. Harbin 150001 China

The organic/inorganic hybrid nanostructural vinylsilsesquioxanes (VSSO) were prepared from the hydrolytic condensation of vinyltrimethoxysilane (VMS). The proposed formu- las of VSSO were assigned with standard spectroscopic techniques, FTIR, NMR (1H, C and 13 2.Si) and MALDI-TOF MS, and a generic formula of the SSO, Tn(OH)x(OR’)y(x, y = 0, 1, 2.; n = 1, 2.; T = RSiO1.5 ?(x+y)/2.). Geometric parameters (Si-O and Si-C bond lengths, Si-O-Si and O-Si-O bond angles) and total energies of the multi-structures of VSSO were calculated by a quantum mechanical investigation and molecular symmetries. According to the results of the calculation, most molecules had stabler ladder structures than the cage isomers, therefore, the most probably reasonable and optimum structure of the VSSO system was the ladder type.

关键词： vinyltrimethoxysilane (VMS), silsesquioxanes (SSO), sol-gel process, quantum mechanical calculation, MNDO.

A New Lie Algebra and a Way to Generate Multiple Integrable Couplings

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Communications in Theoretical Physics 2007年第12期48卷 979-982页

作者： FENG Bin-Lu~(1,2.and HAN Bo~1~1 department of mathematics,{2. institute of technology,{2. 150001,China~2.department of mathematics,Weifang University,Weifang 2.1000,China department of mathematics Harbin Institute of Technology Harbin 150001 China department of mathematics Weifang University Weifang 261000 China

A new higher-dimensional Lie algebra is constructed,which is used to generate multiple integrable *** this,we come to a general approach for seeking multi-integrable couplings of the known integrablesoliton equations.

关键词： Lie algebra integrable hierarchy Hamiltonian structure

Structure and kinematic analysis of a novel 2.DOF translational parallel robot

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Progress in Natural Science:Materials International 2007年第10期17卷 1213-1219页

作者： Chen Tao1, Wu Chao2.and Liu Xinjun2.1. School of Application Science and technology, harbin University of Science and technology, harbin 150080, China 2. department of Precision Instruments, Tsinghua University, Beijing 100084, China) School of Application Science and technology Harbin University of Science and Technology Harbin 150080 China department of Precision Instruments Tsinghua University Beijing 100084 China

This paper addresses the analysis of a novel parallel robot with 2.translational degrees of freedom (DOFs). The robot can position a rigid body in a plane with constant orientation. The kinematic structure of the robot is first described in detail. Some kinematic problems, such as the inverse and forward kinematics, velocity, and singularity are then analyzed. The working and assembly modes are discussed. Since it is the most important index to design a robot, the workspace of the robot is studied systematically in this paper. Based on the analysis of reachable workspace and singularity, a kind of workspace concept characterizing the region that the end-effector of the robot can reach in practice is defined. The results of this paper will be very useful for the design and application of the robot.

关键词： parallel robot degree of freedom kinematics workspace.

Pseudo almost periodic solutions to parabolic boundary value inverse problems

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Science China mathematics 2008年第7期51卷 1203-1214页

作者： ZHANG ChuanYi & YANG FengLin department of mathematics,{2. institute of technology,{2. 150001,China department of mathematics Harbin Institute of Technology Harbin China

We first define the pseudo almost periodic functions in a more general *** we show the existence,uniqueness and stability of pseudo almost periodic solutions of parabolic inverse problems for a type of boundary value ... 详细信息

关键词： pseudo almost periodic function inverse problem parabolic equation boundary value problem

Calculation of laser induced collisional energy transfer in the Sr-Ca system

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Science China(Physics,Mechanics & Astronomy) 2011年第2期54卷 256-261页

作者： LU ZhenZhong1,2.CHEN DeYing1,2.FAN RongWei1,2.& XIA YuanQin1,2.1 National Key Laboratory of Science and technology on Tunable Laser,harbin {2. of technology,harbin 150080,China 2.{2. of Opto-electronics,harbin {2. of technology,harbin 150080,China National Key Laboratory of Science and technology on Tunable Laser Harbin Institute of Technology Harbin China institute of Opto-electronics Harbin Institute of Technology Harbin China

Based on the four-state model of laser-induced collisional energy transfer,the cross section of the collisional energy transfer in the Sr-Ca system is *** factors,including field intensity,relative speed,and temperature,which influence the collisional cross section,are discussed for illustrating the features of the Sr-Ca laser-induced collisional energy transfer(LICET) *** calculated results show that the LICET spectral profiles obviously become narrower when the laser field intensity *** collision cross section rises with laser intensity and tends to *** the vicinity of the spectral profile center,the cross section at fixed laser detuning becomes smaller as the relative speed and system temperature *** results indicate that the intermediate states strongly affect the spectral profile of LICET.

关键词： laser-induced collisional energy transfer collision cross section Sr-Ca system

THE STABILITY OF THE θ-METHODS FOR DELAYDIFFERENTIAL EQUATIONS

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Journal of Computational mathematics 1999年第4期17卷 441-448页

作者： Jing-jun Zhao Ming-zhu Liu(department of mathematics,{2., harbin 150001, China)Shen-shan Qiu(department of Computer Science and Engineering,{2., harbin 150001, China) 哈尔滨工业大学数学系黑龙江哈尔滨 150001 哈尔滨工业大学数学系黑龙江哈尔滨哈尔滨工业大学计算机系黑龙江哈尔滨

This paper deals with the stability analysis of numerical methods for the solution of delay differential equations. We focus on the behaviour of three θ-methodsin the solution of the linear test equation u'(t)-A(t)u(t)+B(t)u( (t)) with (t)and A(t),B(t) continuous matrix functions. The stability regions for the threeθ-methods are determined.

关键词： Delay differential equations Numerical solution Stabilityl θ-methods.

SYNTHESIS OF Ni-Mo ALLOYS BY MECHANICAL ALLOYING

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Acta Metallurgica Sinica(English Letters) 1993年第12期6卷 437-441页

作者： LIANG Guoxian WANG Erde HUO Wencan harbin institute of technology,harbin,China Post Box 435,harbin institute of technology,harbin 150006,China harbin Inst of technology Harbin China

Ni_(100-x)Mo_x(x=2.,30,38)alloys have been synthesized by mechanical *** structure evolution of powders in mechanical alloying process has been monitored by X-ray diffraction,scanning electron microscopy and transmission electron microscopy *** results show that the Ni_(62.Mo_(38)sample becomes partially amorphous after high energy ball milling,while the Ni_(80)Mo_(2.)and Ni_(70)Mo_(30)become non-equilibrium nanocrystals.

关键词： mechanical alloying Ni-Mo alloy amorphization nano-crystal

IN-SITU OBSERVATION OF THERMAL FATIGUE CRACK GROWTH IN STEEL 3Cr2.8V

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Acta Metallurgica Sinica(English Letters) 1993年第3期6卷 191-192页

作者： LIU Jianhong HE Shiyu YAO Mei harbin institute of technology,harbin,China lecturer,Depatment of Metallic Materials,harbin institute of technology,harbin 150006,China harbin Inst of technology Harbin China

The growing process of thermal fatigue cracking,in steel 3Cr2.SV was observed under desk SEM fitted with sell-made minisized device for thermal faligue *** the growing of thermal fatigue crack,the main crack tip reveals to blunt firstly,and some holes and uncontinuous microcraeks occur in front of *** growth is developed by bridging of main crack together with holes and microcracks.

关键词： steel 3Cr2.8V thermal fatigue crack growth in-situ observation