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Normal Functions and α-Normal Functions

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Acta Mathematica Sinica,English Series 2000年第3期16卷 399-404页

作者： Yan Xu department of mathematics,{2. Normal university,{2. 2.0097 P.R.China department of mathematics Nanjing Normal University Nanjing 210097 P. R. China

This paper has studied two open questions about normal functions due to Lappan,and obtained two corresponding results for α-normal functions.

关键词： Spherical derivative Normal function α-Normal function

Refinement of the crystal structure for a new mineral──antimonselite

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Chinese Science Bulletin 1998年第5期43卷 413-416页

作者： MIN Maozhong 1, ZHAI Jianping 1, WANG Xiangyun 1,SHEN Baopei 2. WEN Guangdou 2.and FAN Tao 2.. department of Earth Sciences, nanjing university,{2., China 2. Uranium Geology Bureau of Central-South China, Changsha 410000, China department of Earth Sciences Nanjing University Nanjing China Uranium Geology Bureau of Central-South China Changsha China

The crystal structure of a new mineral of the stibnite group, Sb-2.e-3, has been determined. The cell constants, obtained by least-squares calculation from direct θ -value’s measurements on the diffractometer are: a =1.158 8(5), b =1.174 4(4), c =0.395 5(2. nm; orthorhombic; V =0.538 2. nm+3; Z =4. The space group is Pbnm. X-ray single crystal data, using Mo K α radiation, were measured on a RIGAKU RASA-5RP automated diffractometer and refined to a final R index of 0.048 1. Sb-2.e-3 is isostructural with Sb-2.-3 and Bi-2.-3. Each Sb(1) atom is six-coordinated by 3 Se(1), 1 Se(2. and 2.Se(3) atoms at distances 0.2.6 0-0.32. 6 nm. Each Sb(2. atom is seven-coordinated by 2.Se(1), 2.Se(2. and 3 Se(3) atoms at distances of 0.2.8 1- 0.346 7 nm. The crystal structure consists of chains parallel to c or needle axis. The strongest bonds (shortest separations) are within the chains. Many important physical properties of antimonselite (optical, ferroelectric, etc.) are related to its crystal structure.

关键词： new mineral antimonselite crystal structure.

Study on impurity desorption induced by femtosecond pulse laser based on a stochastic process model

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Science China(Technological Sciences) 2006年第1期49卷 78-88页

作者： CHI Yinsheng1, LIN Xiaohui1, ZHUANG Ping1 & CHEN Yunfei1,2.1. department of Mechanical Engineering, Southeast university,{2. 2.0096, China 2. Key Laboratory of MEMS of China Educational Ministry, Southeast university,{2. 2.0096, China department of Mechanical Engineering Southeast University Nanjing 210096 China Key Laboratory of MEMS of China Educational Ministry Southeast University Nanjing 210096 China

With the advantages on non-equilibrium heating and desorption induced by electronic transition, the femtosecond pulse laser introduces a new way for solving the problem of impurity pollution adsorbed on a solid thin film in micro-electro-mechanical systems (MEMS). A model based on stochastic processes was established for stimulated desorption induced by the femtosecond pulse laser to interpret the interaction of the opti-cally excited hot electrons with the adsorbed molecules in a metal substrate. Numerical simulation results reveal a time-dependent desorption probability of adsorbed molecules and indicate that how key parameters of femtosecond pulse laser, such as incident laser energy flux, pulse duration, and wavelength of pulse, have a great effect on the desorption probability.

关键词： desorption, femtosecond pulse laser, stochastic process.

CMC surfaces in the hyperbolic 3-space

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Chinese Science Bulletin 1998年第7期43卷 547-550页

作者： YU Zuhuan 1, 2.and LI Zhenqi 1, 3 1. Institute of mathematics, Fudan university, Shanghai 2.0433, China {2.,Sichuan Union university, Chengdu 610064, China 3. department of mathematics, Nanchang university, Nanchang 33 nstitute of Mathemalics Fudan University Shanghai China department of mathematics Sichuan Union University Chengdu China department of mathematics Nanchang University Nanchang China

CMC-H surfaces satisfying H≥1 are studied. It is proved that these surfaces possess a natural representation which is a generalization of the Bryant’s result.

关键词： hyperbolic space CMC surface Weierstrass representation.

Representation dimension for Hopf actions

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Science China mathematics 2012年第4期55卷 695-700页

作者： SUN JuXiang & LIU GongXiang department of mathematics,{2. university,{2. 2.0093,China 1. department of mathematics Nanjing University Nanjing 210093 China

Let H be a finite-dimensional Hopf algebra and assume that both H and H＊ are semisimple. The main result of this paper is to show that the representation dimension is an invariant under cleft extensions of H, that is... 详细信息

关键词： representation dimension finite representation type crossed product

Transitional function of DG to CA3 in the hippocampus

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Progress in Natural Science:Materials International 2007年第12期17卷 1436-1444页

作者： Yan Chuankui1 and Liu Shenquan2.1. department of mathematics, Hangzhou Normal{2., Hangzhou 310036, China 2. department of Applied mathematics, School of Mathematical Sciences, South China{2. of Technology, Guangzhou 510640, China) department of mathematics Hangzhou Normal University Hangzhou 310036 China department of Applied mathematics School of Mathematical Sciences South China University of Technology Guangzhou 510640 China

Using single cell channel model, the transmission features of CA3-DG network in the hippocampus are investigated. The influence of the stimulation on discharge pattern of pyramidal neurons is analyzed, which shows that it starts with period spiking discharges, followed by period-doubling bifurcation to chaos, and period 3 discharge evolving into chaos, and ultimately a period of bursting discharges. By the synaptic model, the CA3-DG network model is constructed, which analyzes the summation of postsynaptic currents in the network, the influence of postsynaptic current on discharge rhythm as well as the mechanism of bursting discharges. The strong capacity of spatiotemporal encoding in the network indicates the features of CA3 network during the information transmission process in the hippocampus. The modeling result with time delay of the synaptic transmission is in accordance with the experimental phenomena of action potential in the hippocampus.

关键词： hippocampus CA3-DG period-doubling bifurcation chaos.

Study on the thermal stability and electrical properties of the high-k dielectrics (ZrO_2. _x(SiO_2._(1-x)

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Science China(Technological Sciences) 2009年第8期52卷 2222-2226页

作者： Lü ShiCheng1,2. YIN Jiang1,2. XIA YiDong2.3, GAO LiGang2.3 & LIU ZhiGuo2.3 1 department of Physics, nanjing university,{2., China 2.National Laboratory of Solid Sate Microstructures, nanjing university,{2., China 3 department of Materials Science and Engineering, nanjing university,{2., China 1. department of Physics Nanjing University Nanjing 210093 China 2. National Laboratory of Solid Sate Microstructures Nanjing University Nanjing 210093 China 3. department of Materials Science and Engineering Nanjing University Nanjing 210093 China

(ZrO2.x(SiO2.1-x (Zr-Si-O) films with different compositions were deposited on p-Si(100) substrates by using pulsed laser deposition technique. X-ray photoelectron spectra (XPS) showed that these films remained amorphous after annealing at 800℃ with RTA process in N2.for 60 s. The XPS spectra indi- cated that Zr-Si-O films with x=0.5 suffered no obvious phase separation after annealing at 800℃, and no interface layer was formed between Zr-Si-O film and Si substrate. While Zr-Si-O films with x >0.5 suffered phase separation to precipitate ZrO2.after annealing under the same condition, and SiO2.was formed at the interface. To get a good interface between Zr-Si-O films and Si substrate, Zr-Si-O films with bi-layer structure (ZrO2.0.7(SiO2.0.3/(ZrO2.0.5(SiO2.0.5/Si was deposited. The electrical properties showed that the bi-layer Zr-Si-O film is of the lowest equivalent oxide thickness and good interface with Si substrate.

关键词： high-k dielectric film pulsed laser deposition pseudo ternary alloy

Image space analysis for variational inequalities with cone constraints and applications to traffic equilibria

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Science China mathematics 2012年第4期55卷 851-868页

作者： LI Jun 1,& HUANG nanjing 2.1 College of mathematics and Information,China West Normal{2.,Nanchong 637009,China 2.department of mathematics,Sichuan{2.,Chengdu 610064,China 1. College of mathematics and Information China West Normal University Nanchong 637009 China2. Department of Mathematics Sichuan University Chengdu 610064 China

In this paper,the image space analysis (for short,ISA) is employed to investigate variational in- equalities (for short,VI) with cone *** separation for VI with cone constraints is characterized by using the normal cone to a regularization of the image,and saddle points of the generalized Lagrangian func- ***-type necessary and sufficient optimality conditions for VI with cone constraints are presented by using a separation *** functions and weak sharpness for VI with cone constraints are also investi- ***,the obtained results are applied to standard and time-dependent traffic equilibria introduced by Daniele,Maugeri and Oettli.

关键词： variational inequality image space analysis linear separation necessary and sufficient optimalitycondition traffic equilibrium

IBN Rings and Orderings on Grothendieck Groups

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Acta Mathematica Sinica,English Series 1994年第3期10卷 225-230页

作者： Tong Wenting department of mathematics{2. nanjing,2.0008 China 1. department of mathematics Nanjing University 210008 Nanjing China

Let R be a ring with an identity element.R∈IBN means that Rm■Rn implies m=n,R ∈IBN1 means that Rm ■Rn⊕K implies m≥n,and R ∈IBN2.means that Rm■Rm⊕K implies K=*** this paper we give some characteristic properti... 详细信息

Let R be a ring with an identity element.R∈IBN means that Rm■Rn implies m=n,R ∈IBN1 means that Rm ■Rn⊕K implies m≥n,and R ∈IBN2./sub> means that Rm■Rm⊕K implies K=*** this paper we give some characteristic properties of IBN1 and IBN2./sub>,with orderings o the Grothendieck *** addition,we obtain the following results:（1）If R ∈IBM1 and all finitely generated projective left R-modules are stably free,then the Grothendieck group Ko（R）is a totally ordered abelian group.（2.If the pre-ordering of the Grothendieck group Ko（R）of a ring R is a partial ordering,then R ∈IBM1 or Ko（R）=0.

关键词： IBN Rings and Orderings on Grothendieck Groups Math PSF