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A new smoothing scheme for mathematical programs with complementarity constraints

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science china Mathematics 2010年第7期53卷 1881-1890页

作者： YAN TaoDepartment of Information and Computational sciences, College of science, nanjing university of science and Technology, nanjing 210094, china Department of Information and Computational sciences College of Science Nanjing University of Science and Technology Nanjing China

In this paper, we consider a mathematical program with complementarity constraints (MPCC). We present a new smoothing scheme for this problem, which makes the primal structure of the complementarity part unchanged mostly. For the new smoothing problem, we show that the linear independence constraint qualification (LICQ) holds under some conditions. We also analyze the convergence behavior of the smoothing problem, and get some sufficient conditions such that an accumulation point of stationary points of the smoothing problems is C (M, B)-stationarity respectively. Based on the smoothing problem, we establish an algorithm to solve the primal MPCC problem. Some numerical experiments are given in the paper.

关键词： mathematical program with complementarity constrains MPEC-LICQ B-stationarity C-stationarity M-stationarity

Lipschitz classes on local fields

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science china Mathematics 2007年第7期50卷 1005-1014页

作者： Wei-yi SU~(1+) Guo-xiang CHEN~2 1 Department of Mathematics,nanjing university,nanjing 210093,china 2 Department of Mathematics,nanjing Audit university,nanjing 211815,china Department of Mathematics Nanjing University Nanjing China Department of Mathematics Nanjing Audit University Nanjing China

The Lipschitz class Lipαon a local field K is defined in this note,and the equivalent relationship between the Lipschitz class Lipαand the Holder type space C~α(K)is ***,those important characteristics on the Euclidean space R^n and the local field K are compared,so that one may interpret the essential differences between the analyses on R^n and ***,the Cantor type fractal functionθ(x)is showed in the Lipschitz class Lip(m,K),m＜(ln 2/ln 3).

关键词： local field Holder type space Lipschitz class Cantor type fractal function 11F85 46F05 43A25 28A80 28A78

The early high-energy afterglow emission from short GRBs

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science china(Physics,Mechanics & Astronomy) 2010年第S1期53卷 157-160页

作者： HE HaoNing & WANG XiangYu Department of Astronomy,nanjing university,nanjing 210093,china Department of Astronomy Nanjing University Nanjing China

We calculate the high energy afterglow emission from short Gamma-Ray Bursts(SGRBs) in the external shock *** are two possible components contributing to the high energy afterglow:electron synchrotron emission and synchrotron self-Compton(SSC) *** find that for typical parameter values of SGRBs,the early high-energy afterglow emission in 10 MeV-10 GeV is dominated by synchrotron *** a burst occurring at redshift z = 0.1,the high-energy emission can be detectable by Fermi LAT if the blast wave has energy E ≥ 1051 ergs and the fraction of electron energy εe≥ *** provides a possible explanation for the high energy tail of SGRB 081024B.

关键词： gamma-ray burst radiation mechanism blast wave

Magnetic particles and cadmium sulfide nanoparticles tagging for signal-amplifying detection of nucleic acids

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science china Chemistry 2011年第8期54卷 1304-1310页

作者： DONG XiaoYa, ZHAO WeiWei, XU JingJuan & CHEN HongYuan State Key Laboratory of Analytical Chemistry for Life science School of Chemistry and Chemical Engineering, nanjing university, nanjing 210093, china State Key Laboratory of Analytical Chemistry for Life science School of Chemistry and Chemical Engineering Nanjing University Nanjing China

A versatile DNA recognition system using cadmium sulfide nanoparticles (CdS NPs) as labels was proposed for ultrasensitive detection of specific sequence DNA based on target recycling. This strategy utilized the magnetic particles (MNPs) for the immobilization of linker DNA and CdS NPs and the subsequent target DNA hybridization. Using the unique characteristic of nicking endonuclease for cutting one specific strand of double strand DNA (ds DNA), the linker DNA could be transected and the target DNA could be liberated for re-hybridization and hence the amount of released CdS NPs was enhanced. Due to the advantage of the MNPs and signal amplification from the target recycling, the analyte DNA could be detected by the square-wave stripping voltammetry (SWV) in a wide linear range from 0.4 fM to 100 fM with the detection limit down to 0.08 fM. The proposed DNA detection strategy possesses high sensitivity, satisfactory reproducibility and excellent stability, which might have potential in other DNA biological assays.

关键词： CdS nanoparticles square wave stripping voltammetry nicking endonuclease electrochemical DNA assay

Molecular dynamics simulation study on zwitterionic structure to maintain the normal conformations of Glutathione

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science china Chemistry 2007年第5期50卷 660-664页

作者： YAN Han1, ZHU HaoMiao2 & SHEN Jian1,2 1 Jiangsu Research center of Surface and Interface Chemical Engineering and Technology, nanjing university, nanjing 210093, china 2 Jiangsu Engineering Research center for Bio-medical function Materials, nanjing Normal university, nanjing 210097, china Jiangsu Research center of Surface and Interface Chemical Engineering and Technology Nanjing University Nanjing China Jiangsu Engineering Research center for Bio-medical function Materials Nanjing Normal University Nanjing China

Molecular dynamics simulations were applied to normal conformational Glutathione (GSH) and GSH over zwitterionic and hydrophobic surfaces respectively. Conformational analysis of GSH during the simulation time on RMSD, conformational flexibility and dihedral distribution were performed. The re- sults showed that zwitterionic structure maintains the normal conformations of GSH to a better extent, which should be a first good proof of the hypothesis of "maintain of normal structure".

关键词： protein-surface interactions, molecular dynamics simulation, zwitterionic structure, Glutathione, conformational changes, antithrombotic material

An MSX infrared analysis of the superbubble around the giant HII region NGC3603

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science china(Physics,Mechanics & Astronomy) 2010年第S1期53卷 271-273页

作者： WANG Jia & CHEN Yang Department of Astronomy,nanjing university,nanjing 210093,china Department of Astronomy Nanjing University Nanjing China

Using the MSX mid-infrared observations,we reveal a 100pc-scale superbubble surrounding the giant HII region *** suggest that the diffuse surrounding infrared emission in bands A,C,and D is dominated by that of PAH and the emission in band E is dominated by that of dust *** fitted dust temperature is consistent with heating by the central cluster's UV *** derived gas-to-dust mass ratio for the bubble shell is of order 102.

关键词： superbubble HII region cluster PAH dust

TRANSMISSION MOMENTARY EFFICIENCY BASED ON THE D'ALEMBERT-LAGRANGE EQUATION FOR INVOLUTES GEARS

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Chinese Journal of Mechanical Engineering 2004年第2期17卷 272-275页

作者： Liang Yi Lai Changying School of Mechanical Engineering,nanjing university of science and Technology,nanjing 210094, china School of Mechanical Engineering Nanjing University of Science and Technology Nanjing 210094

The D'Alembert-Lagrange equation is introduced and used to derive theformulas of momentary efficiency for external gearing of standard involutes spur gears. The gearingswith correct and increased center distance are discussed. The momentary efficiency formula iscalculated and analyzed using software Matlab. The derived formula of momentary efficiency is alsocompared with the traditional formula.

关键词： D'Alembert-Lagrange equation Involutes gear Momentary efficiency

A STUDY ON THE RELATION BETWEEN THE VARIATION OF THE PRECIPITATION IN EASTERN JIANGHUAI WATERSHED AND SEDIMENT TRANSPORT IN CHIHE RIVER VALLEY

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Chinese Geographical science 2002年第1期12卷 44-49页

作者： ZHANG Jian chun, PENG Pu zhuo(Department of Urban and Resources sciences,nanjing university,nanjing 210093,P.R.china ) Department of Urban and Resources sciences Nanjing University Nanjing P. R. China

Rainfall resource is very important to the development of society and economy,especially to eastern Jianghuai watershed which is now facing serious challenge of water shortage. Based on the observational records covering the period from 1957 to 1999,the characteristics of precipitation changing over eastern JiangHuai watershed and its connection to sediment discharge in Chihe River valley were studied using tendency analysis and correlation analysis .Results show that the rainfall in this area had a declining tendency in Spring at a rate of -21.2mm/10a, annual and Summer precipitation was increasing at the rate of 10.6mm/10a and 14.8mm/10a. The gray correlation analysis shows that sediment discharge correlates most closely with runoffs and the frequency of the rainstorm with a daily precipitation of 50-100mm, on the second place,with the rainfall and the frequency of the rainstorm of a daily precipitation no less than 100mm;and thirdly with the number of rainy days. In addition, the paper suggests the major countermeasures and methods for controlling of soil and water losses in this area.

关键词： eastern Jianghuai watershed Chihe River rainfall sediment discharge correlation grade

Two Novel Compact High-Isolation Polarization-Independent Four-Port Optical Circulators

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光通信技术 1998年第2期 160-165页

作者： Xu Rongkai Xu Peiying(Department of Electronic science & Engineering,nanjing university,nanjing 210093)

Two new designed compact high-isolation polarization-independent opticalcirculator have been conceived. The four-port circulators have been designed for 1. 3μmsingle-mode fiber systems. Their composition are very simple. Theoretical calculationsindicate the second one has the insertion loss and isolation are≤1. 2dB and ≥50dB respectively.

关键词： Optical circulator Isolation Extinction ratio