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A New Comparison Theorem of Multidimensional BSDEs

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Acta Mathematicae Applicatae Sinica 2015年第1期31卷 131-138页

作者： Pan-yu WU Zeng-jing chen Qilu Securities Institute for Financial Studies Shandong University School of Mathematics Shandong University

In this paper, we first study a property about the generator g of Backward Stochastic Differential Equation （BSDE） when the price of contingent claims can be represented by a multidimensional BSDE in the no-arbitrage financial market. Furthermore, motivated by the behavior of agents in finance market, we introduce a new total order q on Rn and obtain a necessary and sufficient condition for comparison theorem of multidimensional BSDEs under this order. We also give some further results for q

关键词： backward stochastic differential equation comparison theorem viability property

Laws of Large Numbers of Negatively Correlated Random Variables for Capacities

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Acta Mathematicae Applicatae Sinica 2011年第4期27卷 749-760页

作者： Wen-juan LI Zeng-jing chen School of Mathematics Shandong University Jinan 250100 China

Our aim is to present some limit theorems for capacities. We consider a sequence of pairwise negatively correlated random variables. We obtain laws of large numbers for upper probabilities and 2-alternating capacities, using some results in the classical probability theory and a non-additive version of Chebyshev＇s inequality and Boral-Contelli lemma for capacities.

关键词： law of large numbers 2-alternating capacity negatively correlated random variables upper probability

Isomorphisms and Automorphisms of Generalized Semi-Cayley Graphs

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Algebra Colloquium 2019年第2期26卷 321-328页

作者： jing chen Xu Yang Xiaomin Zhu Department of Mathematics Hunan First Normal University Changsha 410205 China Shanghai Lixin University of Accounting and Finance Shanghai 201209 China School of Mathematical Sciences Shanghai Jiao Tong University Shanghai 200240 China

In this paper we propose the concept of generalized semi-Cayley graphs, which is a combination of semi-Cayley graphs and generalized Cayley graphs. We study the isomorphisms and automorphisms of generalized semi-Cayle... 详细信息

关键词： Cayley graph generalized semi-Cayley graph isomorphism automorphism group

A binocular parallel rendering method for VR globes

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International Journal of Digital Earth 2020年第9期13卷 998-1016页

作者： Wumeng Huang jing chen Mengyun Zhou State Key Laboratory of Information Engineering in Surveying Mapping and Remote SensingWuhan UniversityWuhanPeople’s Republic of China Faculty of Geomatics East China University of TechnologyNanchangPeople’s Republic of China Collaborative Innovation Center of Geospatial Technology Wuhan UniversityWuhanPeople’s Republic of China School of Geography and Information Engineering China University of GeosciencesWuhanPeople’s Republic of China

The scene-rendering mechanism based on binocular vision is one of the key techniques for the VR globe to achieve immersion-type visualization of global 3D ***,this special rendering mechanism also requires that the 3D scene is continuously drawn twice within one frame,which significantly affects the rendering efficiency of VR ***,we propose a binocular parallel rendering *** method first improves the current rendering process of VR globes by assigning the rendering tasks for the left and right camera of VR to be processed on different CPU cores,thereby achieving parallel rendering of binocular ***,due to the problem of inconsistent resolution of binocular scenes caused by different viewpoints for the left and right cameras,we propose a resolution synchronize *** algorithm conducts realtime synchronization on the resolution of scene in the rendering process and thus avoids the problem of erroneous binocular stereo ***,we validate the effectiveness of the method in this paper through *** results of experiments indicate that while the method in this paper can ensure the consistency of binocular scene resolution,it can decrease the frame time of VR globes by approximately 27%on average.

关键词： VR globes virtual globes virtual reality binocular vision parallel rendering

Photodegradation of perfluorooctanoic acid by 185 nm vacuum ultraviolet light

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Journal of Environmental Sciences 2007年第4期19卷 387-390页

作者： chen jing ZHANG Peng-yi LIU Jian Department of Environmental Science and Engineering Tsinghua University Beijing 100084 China.

The photodegradation of persistent and bioaccumulative perftuorooctanoic acid （PFOA） in water by 185 nm vacuum ultraviolet （VUV） light was examined to develop an effective technology to deal with PFOA pollution. PFOA degraded very slowly under irradiation of 254 nm UV light. However, 61.7% of initial PFOA was degraded by 185 nm VUV light within 2 h, and defluorination ratio reached 17.1%. Pseudo first-order-kinetics well simulated its degradation and defluorination. Besides, fluoride ion formed in water, 4 shorter-chain perfluorinated carboxylic acids （PFCAs）, that is, perfluoroheptanoic acid, perfluorohexanoic acid, perfluoropentanoic acid, and perfluorobutanoic acid. These were identified as intermediates by LC-MS measurement. These PFCAs consecutively formed and further degraded with irradiation time. According to the mass balance calculation, no other byproducts were formed. It was proposed that PFCAs initially are decarboxylated by 185 nm light, and the radical thus formed reacts with water to form shorter-chain PFCA with one less CF2 unit.

关键词： photodegradafion perfluorooctanoic acid perfluorinated carboxylic acid vacuum ultraviolet

Electron Structure of γ/α2 Phase Boundaries in TiAl Based Alloys

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Journal of Materials Science & Technology 2003年第z1期19卷 85-87页

作者： Fantao KONG Ziyong chen Yuyong chen jing TIAN Yufeng SI School of Materials Science and Engineering Harbin Institute of Technology Harbin 150001 China School of Materials Science and Engineering Harbin Institute of Technology Harbin 150001 China School of Materials Science and Engineering Harbin Institute of Technology Harbin 150001 China School of Materials Science and Engineering Harbin Institute of Technology Harbin 150001 China School of Materials Science and Engineering Harbin Institute of Technology Harbin 150001 China

The valence electron structure of γ/α2 phase boundaries in lamellar colonies in Ti-47Al-2M (M=Nb, Cr, V) (at. pct) was investigated by empirical electron theory of solid and molecules (EET) and its bond-length-difference (BLD) method. On this basis, the boundary condition of electron movement was employed in the improved Thomas-Fermi-Dirac (TFD) theory to decide the continuity of the electron density of the lamellar colonies interface and it is found that of γ/α2 interface is continuous. Furthermore, it is found that adding alloying elements (including Nb, Cr, and V) can improve the electron density (ρ) of γ/α2 interface, decrease Aρ of γ/α2 interface. With the electron structure analysis together with properties analysis,the effect mechanism of alloying elements (Nb, Cr, V) improving mechanical properties was explained.

关键词： TiAl based alloy, Valence electron structure, Phase boundaries, Site occupancy

Thermo-field Dynamics of the Casimir Effect and Its Quantum Deformation

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Chinese Physics Letters 2001年第6期18卷 740-742页

作者： jing Hui XIE Bing-Hao chen jing-Ling Theoretical Physics Division Nankai Institute of MathematicsNankai UniversityTianjin 300071 Laboratory of Computational Physics Institute of Applied Physics and Computational MathematicsBeijing 100088

The Casimir effect of the deformed cavity field at finite temperature is investigated by generalizing the thermo field dynamics formalism into q-deformed *** has been shown that the impact of q-deformation on the Casimir force only manifests in the finite temperature case and the expression for the ideal pure vacuum remains unchanged,which just coincides with the suggestions of Man’ko et al.[***.A 176(1993)173]about the nature of q-oscillators as the nonlinear vibrations of electromagnetic field.

关键词： field deformed Casimir

Relief of Residual Stresses in 800 MPa Grade High Strength Steel Weldments by Explosion Treatment and its Effect on Mechanical Properties

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Journal of Materials Science & Technology 2006年第3期22卷 387-391页

作者： Changzhong WU Huaining chen jing chen Quanhong LIN Jianjun GUAN Institute of Metal Research Chinese Academy of Sciences Shenyang 110016 China

The explosion treatment technique has been used in the relief of residual stresses in 800 MPa grade high strength steel manual welded joints. The residual stresses on surface and through thickness of the weldment were measured for both as-welded and explosion-treated sample, the mechanical properties of welded joints under different conditions were also tested. The effect of explosion treatment on the fracture toughness of materials with a residual defect was investigated by crack opening displacement （COD） test. The results show that explosion treatment can reduce not only the surface residual stress but also the residual stress through thickness in the welded joints. The effect of explosion treatment on the mechanical properties and a residual defect in welded joint were inconspicuous.

关键词： High strength steel Explosion treatment Residual stress Mechanical properties COD test

Prüfer Sheaves and Generic Sheaves Over the Weighted Projective Lines and Elliptic Curves

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Acta Mathematica Sinica,English Series 2017年第5期33卷 705-724页

作者： Jian Min chen Jin jing chen Ya Nan LIN School of Mathematical Sciences Xiamen University Xiamen 361005 P. R. China

In the present paper, we introduce the concepts of Prüfer sheaves and adic sheaves over a weighted projective line of genus one or an elliptic curve, show that Prüfer sheaves and adic sheaves can characterize the category of coherent sheaves. Moreover, we describe the relationship between Prüfer sheaves and generic sheaves, and provide two methods to construct generic sheaves by using coherent sheaves and Prüfer sheaves.

关键词： Weighted projective line elliptic curve quasi-coherent sheaf pure-injective object