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FRUIT NUTRITIVE FACTOR NETWORK

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Journal of Systems Science & Complexity 2009年第1期22卷 150-158页

作者： Daren HE College of Physics Science and Technology Yangzhou University

As an research example of the widely existing cooperation-competition systems,the authorspresent an empirical investigation on a fruit nutritive factor *** is described by a node-weightedbipartite *** fruit nutritive factors are defined as the nodes,and two nodes are connected by anedge if at least one fruit contains these two nutritive *** fruits are defined as the *** node-weight W_(nt),which signifies the 'importance degree' of each actor node,is defined as thecont ent of a nutritive factor in a *** empirical investigation results show some unique *** node-weight distributions take so-called 'shifted power law' function forms,but the act-weightdistribution takes a normal *** degree and act-degree distributions show impulsive-spectrumlike *** observations may be helpful for the study of *** network description methodproposed in this article may be universal for a kind of cooperation-competition systems.

关键词： Complex network cooperation-competition nntritive factor statistical properties.

Nonlinear ergodic theorem for semitopological semigroups of non-Lipschitzian mappings in Banach spaces

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Chinese Science Bulletin 1997年第1期42卷 8-11页

作者： LI Gang and MA Jipu1. Department of Mathematics, yangzhou Normal College, yangzhou 225002, china 2. Department of Mathematics, Nanjing university, Nanjing 210093, china Department of Mathematics Yangzhou Normal College Yangzhou China Department of Mathematics Nanjing University Nanjing China

LET G be a semitopological semigroup, i. e. G is a semigroup with a Hausdorff topology such that for each s∈G the mapping s|→s·t and s|→t·s from G to G are continuous. G is called right reversible if any two closed left ideals of G have non-void intersection. In this case, (G,≤) is a directed system when the binary relation '≤' on G is defined by a≤b if and only if Let E be the uniformly convex Banach space

关键词： nonlinear semigroup ergodic theorem non-Lipschitzian mapping.

INFINITE ELEMENT METHOD FOR THE EXTERIOR PROBLEMS OF THE HELMHOLTZ EQUATIONS

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Journal of Computational Mathematics 2000年第6期18卷 657-672页

作者： Lung-an Ying (school of mathematical sciences, Peking university, Beijing 100871, china) 北京大学北京 100871

There are two cases of the exterior problems of the Helmholtz equation. If λ ≥ 0 the bilinear form is coercive, and if λ < 0 it is the scattering problem. We give a new approach of the infinite element method, which enables us to solve these exterior problems as well as corner problems. A numerical example of the scattering problem is given. [ABSTRACT FROM AUTHOR]

关键词： Helmholtz equation exterior problem infinite element method

Remanence characteristic of nanostructure of hard/soft magnetic multilayered systems with random easy axis orientations

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原子与分子物理学报 2002年第3期19卷 289-294页

作者： HU Jing-guo(Physics Department of yangzhou university yangzhou 225002) PhysicsDepartment of yangzhou university Yangzhou 225002

The macroscopic magnetic properties such as remanent magnetization of the ferromagnetic multilayer system with random easy axis orientations is investigated by using a effective micromagnet approach. The multilayer, which alternating soft/hard layers in which their easy axis orientations is random build a nanostructured multilayer, is considered to meet periodic boundary condition, the dependence of remanence on thickness has been analytical derived. Author find that the remancence clearly depends on the thickness of the soft magnetic layer nearly independence of thickness of hard magnetic layer. this analytical results are in excellent agreement with previous numerical results.

关键词：磁学性质磁化强度纳米结构硬磁性软磁性

Optimal variational principle for backward stochastic control systems associated with Lévy processes

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Science china Mathematics 2012年第4期55卷 745-761页

作者： TANG MaoNing 1 & ZHANG Qi 2,1 Department of mathematical sciences,Huzhou university,Huzhou 313000,china 2 school of mathematical sciences,Fudan university,Shanghai 200433,china Department of mathematical sciences Huzhou University Huzhou China school of mathematical sciences Fudan University Shanghai China

The paper is concerned with optimal control of backward stochastic differentiM equation （BSDE） driven by Teugel＇s martingales and an independent multi-dimensional Brownian motion, where Teugel＇s martingales are a family of pairwise strongly orthonormal martingales associated with L6vy processes （see e.g., Nualart and Schoutens＇ paper in 2000）. We derive the necessary and sufficient conditions for the existence of the optimal control by means of convex variation methods and duality techniques. As an application, the optimal control problem of linear backward stochastic differential equation with a quadratic cost criteria （or backward linear-quadratic problem, or BLQ problem for short） is discussed and characterized by a stochastic Hamilton system.

关键词： stochastic control stochastic maximum principle Ldvy processes Teugel's martingales backwardstochastic differential equations

Local 3-cocycles of von Neumann algebras

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Science china Mathematics 2007年第9期50卷 1240-1250页

作者： Cheng-jun HOU~(1+) Ben-yin FU~2 1 school of mathematical sciences,Qufu Normal university,Qufu 273165,china 2 school of mathematical sciences,Fudan university,Shanghai 200433,china school of mathematical sciences Qufu Normal University Qufu China school of mathematical sciences Fudan University Shanghai China

We show that every local 3-cocycle of a von Neumann algebra $\mathcal{R}$ into an arbitrary unital dual $\mathcal{R}$ -bimodule $\mathcal{S}$ is a 3-cocycle.

关键词： von Neumann algebra dual bimodule local 3-cocycle 3-cocycle 46L10

On the number of B_(π')-characters in a nilpotent π-block

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Science china Mathematics 2008年第1期51卷 1-4页

作者： HAI JinKe~(1+) & ZHU YiXin~2 1 school of mathematical sciences, Qingdao university, Qingdao 266071, china 2 school of mathematical sciences, Capital Normal university, Beijing 100037, china school of mathematical sciences Qingdao University Qingdao China school of mathematical sciences Capital Normal University Beijing China

Brouéand Puig set the definition of nilpotent p-blocks, stated the existence of such blocks, and then proved that there is a unique Brauer character in a nilpotent p-block. The present paper, based on the works of Slattery and Robinson, generalizes the above idea to theπ-block theory of aπ-separable group, defines the nilpotency of aπ-block, and proves that there is a unique B_(π')-character in a nilpotentπ-block.

关键词： π-separable groups π-blocks π-subpairs nilpotentπ-blocks

Nuclear reprogramming: the strategy used in normal development is also used in somatic cell nuclear transfer and parthenogenesis

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Cell Research 2007年第2期17卷 135-150页

作者： Tianlong Gao~(1,*) Junke Zheng~(2,*) Fengying Xing~(2,*) Haiyan Fang~2 Feng Sun~1 Ayong Yan~2 Xun Gong~2 Hui Ding~3 Fan Tang~2 Hui Z Sheng~2 ~1Program for Graduation Studies,Shanghai Institutes for Biological sciences,Chinese Academy of sciences,Shanghai 200031,china ~2Center for Developmental Biology,Xinhua Hospital,Shanghai Jiao Tong university,school of Medicine,1665 Kong Jiang Road,Shanghai 200092,china ~3school of Animal Science and Technology,yangzhou university,yangzhou 225009,china Program for Graduation Studies Shanghai Institutes for Biological Sciences Chinese Academy of Sciences Shanghai China Center for Developmental Biology Xinhua Hospital Shanghai Jiao Tong University School of Medicine Shanghai China school of Animal Science and Technology Yangzhou University Yangzhou China

Somatic cell nuclear transfer(SCNT)and parthenogenesis are alternative forms of reproduction and development,building new life cycles on differentiated somatic cell nuclei and duplicated maternal chromatin,*** thepreceding paper(Sun F,et al.,Cell Res 2007;17:117-134.),we showed that an"erase-and-rebuild"strategy is used innormal development to transform the maternal gene expression profile to a zygotic ***,we investigate if the samestrategy also applies to SCNT and *** relationship between chromatin and chromatin factors(CFs)during SCNT and parthenogenesis was examined using immunochemical and GFP-fusion protein *** fromthese studies indicated that soon after nuclear transfer,a majority of CFs dissociated from somatic nuclei and were re-distributed to the cytoplasm of the *** erasure process in oogenesis is recaptured during the initial phase in *** CFs entered pseudo-pronuclei shortly after their *** parthenogenesis,all parthenogenotes underwentnormal oogenesis,and thus had removed most CFs from chromosomes before the initiation of *** CFswere subsequently re-associated with female pronuclei in time and sequence similar to that in fertilized *** these data,we conclude that the"erase-and-rebuild"process observed in normal development also occurs in SCNTand in parthenogenesis,albeit in altered *** process is responsible for transcription reprogramming in ***"erase"process in SCNT is compressed and the efficiency is compromised,which likely contribute tothe developmental defects often observed in nuclear transfer(nt)***,results from this study indicatedthat the cytoplasm of an egg contains most,if not all,essential components for assembling the zygotic program and canassemble them onto appropriate diploid chromatin of distinct origins.

关键词： nuclear reprogramming SCNT parthenogenesis chromatin factors chromatin embryogenesis

A counter example for nilpotent groups

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Science china Mathematics 2010年第11期53卷 3041-3048页

作者： LIU HeGuo1, ZHANG JiPing2 & LIAO Jun2 1Department of Mathematics, Hubei university, Wuhan 430062, china 2school of mathematical sciences, Peking university, Beijing 100871, china Department of Mathematics Hubei University Wuhan China school of mathematical sciences Peking University Beijing China

Let R be a ring with 1, I be a nilpotent subring of R (there exists a natural number n, such that In = 0), and I be generated by {xj |j ∈ J} as ring. Write U = 1 + I, and it is a nilpotent group with class ≤ n - 1. Let G be the subgroup of U which is generated by {1 + xj|j ∈ J}. The group constructed in this paper indicates that the nilpotency class of G can be less than that of U.

关键词： nilpotency class nilpotent group nilpotent ring Lie ring