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Electron transport properties of boron-doped capped-carbon-nanotube-based molecular junctions

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Science Bulletin 2010年第36期55卷 4104-4107页

作者： ZHAO Peng1.& LIU DeSheng2 1.school of Science, University of {1., {1. 250022, china 2.school of Physics, State Key Laboratory of Crystal Materials, shandong University, jinan 2.01.0, china school of Science University of Jinan Jinan 250022 China school of Physics State Key Laboratory of Crystal Materials Shandong University Jinan 250100 China

Using the Landauer formalism that combines both the non-equilibrium Green’s function and first-principles density functional theory, the electron transport properties of a one-dimensional molecular junction based on capped carbon nanotubes with boron doping at various sites are investigated. The results show that the electron transport properties are strongly dependent on the boron-doping site. Negative differential resistance behavior can be observed when boron-atom dopants are present in the tip region.

关键词： carbon nanotube doping non-equilibrium Green’s function density functional theory

Survey on normal distributions,central limit theorem,Brownian motion and the related stochastic calculus under sublinear expectations

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Science china {1. 2009年第7期52卷 1391-1411页

作者： PENG ShiGe Institute of mathematics,{1. University,jinan 2.01.0,china 1. Institute of mathematics Shandong University Jinan 250100 China

This is a survey on normal distributions and the related central limit theorem under sublinear *** also present Brownian motion under sublinear expectations and the related stochastic calculus of It's *** results provide new and robust tools for the problem of probability model uncertainty arising in financial risk,statistics and other industrial problems.

关键词： probability and distribution uncertainty normal distribution Brownian motion central limit theorem 60H1. 60H05 60H30 60E05 60E07 62C05 62D05

Relaxed delay-dependent exponential stability condition for a class of neural networks with polytopic uncertainties and distributed delays

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控制理论与应用（英文版） 2011年第2期9卷 302-306页

作者： Jianwei XIA 1.2,Hongbin ZHANG 3 1.school of Automation,Southeast University,Nanjing Jiangsu 21.096,{1. 2.school of mathematics Science,Liaocheng University,Liaocheng shandong 252000,{1. 3.school of Electronic Engineering,University of Electronic Science and Technology,Chengdu Sichuan 61.054,{1. school of Automation Southeast University Nanjing Jiangsu China school of {1. Science Liaocheng University Liaocheng Shandong China school of Electronic Engineering University of Electronic Science and Technology Chengdu Sichuan China

The global robust exponential stability of a class of neural networks with polytopic uncertainties and distributed delays is investigated in this ***-dependent Lypaunov-Krasovskii functionals and free-weighting matrices are employed to obtain sufficient condition that guarantee the robust global exponential stability of the equilibrium point of the considered neural *** derived sufficient condition is proposed in terms of a set of relaxed linear matrix inequalities (LMIs),which can be checked easily by recently developed algorithms solving LMIs.A numerical example is given to demonstrate the effectiveness of the proposed criteria.

关键词： Neural networks Polytopic uncertainties Distributed delays Delay-dependent Global robust exponential stability

Formation and Evolution of Ancient Lakes on South Coast Plain of Laizhou Bay

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Chinese Journal of Population,Resources and Environment 2005年第4期3卷 26-32页

作者： Han Mei 1. Zhou Baohua 2, Yang Peilin 1.Gao Guiqin 1.& Zhang Weiying 1.1. Department of Geography, shandong Normal University, {1. 25001., china 2. Department of Geography, {1. University, {1. 250001. china Department of Geography Shandong Normal University Jinan 250014 China Department of Geography Jlnan University Jinan 250001 China

Based on the data of historical geography, the analysis of the stratigraphic section, and the textual research of place names and satellite photographic interpretations, the authors study the formation and evolution of ancient lakes on the south coast plain of Laizhou Bay where there were once three lakes: Judian Lake, Qingshuibo Lake and Biehua Lake. All the lakes formed 6000 years ago evolved from the lagoons near the estuary and went through two periods, the golden age in the Middle Holocene and the shrinking age in the Late Holocene. The disappearance of the lakes resulted from the drying climate, the migration of the river courses and the activities of human beings. Among the three reasons, the migration of the river courses is the main one.

关键词： ancient lake cause historical evolution south coast plain of Laizhou Bay

Some Hall polynomials for representation-finite selfinjective algebra with mod _pΛ without short chains

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Chinese Science Bulletin 1997年第12期42卷 985-988页

作者： ZHANG ShunhuaDepartment of mathematics, {1. University, jinan 2.01.0, china Department of mathematics Shandong University Jinan China

1.PreliminariesThe Hall algebra H（A） of a finitary ring A was defined by Ringel.H（A）is the freeAbelian group with a basis{u[M]}[M] indexed by the isomorphism classes [M] of finite A-modules M with the multiplicati... 详细信息

关键词： Hall algebras Hall polynomials short chains.

Automorphisms with order three of affine Lie algebras

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Chinese Science Bulletin 1998年第21期43卷 1793-1798页

作者： JIN Quanqin 1.2 and HOU Zixin 2 1. Department of mathematics, Hebei University, Baoding 071.02, {1. 2. Department of mathematics, Nankai University, Tianjin 300071. {1. Department of mathematics Hebei University Baoding China Department of mathematics Nankai University Tianjin China

Some properties of automorphisms of affine Lie algebras are presented. Automorphisms with order three are classified up to conjugacy, and their fixed point sets are also computed. As a corollary, it is proved that two... 详细信息

关键词： affine Lie algebra automorphism of order three first (second) kind of automorphism.

Morita contexts on the Hopf algebroid

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Science china {1. 2005年第7期48卷 958-971页

作者： YIN Yanmin school of Mathematical Sciences, Peking University, Beijing 1.0871. {1. Department of mathematics, shandong Institute of Architecture and Engineering, jinan 2501.1. {1. 1. school of Mathematical Sciences Peking University 100871 Beijing China 2. Department of mathematics Shandong Institute of Architecture and Engineering 250101 Jinan China

We generalize the Morita theory to the Hopf algebroid and give the characterization of the surjectivity of one of the Morita context maps.

关键词： comodule algebra, generalized smash product, Morita context.

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上海国资 2024年第4期 9-10页

作者： 1.新华社 2.国家数据局新华社国家数据局

国务院国资委全面深化改革领导小组召开2024年第一次全体会议2024年3月29日，国务院国资委全面深化改革领导小组召开2024年第一次全体会议。会议指出，今年是深入实施国有企业改革深化提升行动承上启下的关键一年，要聚焦重点难点任务...

国务院国资委全面深化改革领导小组召开2024年第一次全体会议2024年3月29日，国务院国资委全面深化改革领导小组召开2024年第一次全体会议。会议指出，今年是深入实施国有企业改革深化提升行动承上启下的关键一年，要聚焦重点难点任务全力攻坚，紧盯重点任务和关键时点，全力以赴抓好各项任务落实。

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Shape blending of artistic brushstroke represented by disk B-spline curves

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Progress in Natural Science:Materials International 2007年第12期17卷 1501-1507页

作者： Cheng Min1.2 and Wang Guojin1.1. Department of mathematics, Zhejiang University, Hangzhou 31.027, {1. 2. Department of mathematics, Zhejiang University of Technology, Hangzhou 31.032, {1.) Department of mathematics Zhejiang University Hangzhou 310027 China 2. Department of mathematics Zhejiang University of Technology Hangzhou 310032 China

This paper presents an algorithm for automatically generating in-between frames of two artistic brushstrokes. The basic idea of the algorithm is to represent the two key frames of artistic brushstrokes in disk B-spline curves, and then make blending of their geometric intrinsic variables. Given two key frames of artistic brushstrokes, the skeleton curves can be obtained by certain skeleton-based techniques. After disk B-spline representation of the key frames is generated, interpolation of the intrinsic variables of the initial and the target disk B-spline curves is carried out. Examples show that this method can efficiently create in-between frames of artistic brushstrokes.

关键词： computer aided calligraphy shape blending brushstroke disk B-spline curve skeleton.