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Explicit classes of permutation polynomials of F33m

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Science China Mathematics 2009年第4期52卷 639-647页

作者： DING CunSheng1, XIANG Qing2, YUAN Jin3 & YUAN PingZhi4.1 Department of Computer Science and Engineering, The Hong Kong University of Science and Technology, Clearwater Bay, Kowloon, Hong Kong, China 2 Department of Mathematical sciences, University of Delaware, Newark, DE 19716, usa 3 Department of Computing, Macquarie University, NSW 2109, Australia 4.school of Mathematics, South China Normal University, Guangzhou 510631, China Department of Computer Science and Engineering The Hong Kong University of Science and Technology Hong Kong China Department of Mathematical sciences University of Delaware Newark USA Department of Computing Macquarie University Sydney Australia school of Mathematics South China Normal University Guangzhou China

Permutation polynomials have been an interesting subject of study for a long time and have applications in many areas of mathematics and engineering. However, only a small number of specific classes of permutation polynomials are known so far. In this paper, six classes of linearized permutation polynomials and six classes of nonlinearized permutation polynomials over F33m are presented. These polynomials have simple shapes, and they are related to planar functions.

关键词： permutation polynomials planar functions

Oncogenesis of RON receptor tyrosine kinase:a molecular target for malignant epithelial cancers

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Acta Pharmacologica Sinica 2006年第6期27卷 641-650页

作者： Ming-hai WANG~(2,3,4.Hang-ping YAO~2 Yong-qing ZHOU~2 2 Laboratory of Chang-Kung Scholars Program for Tumor Biology,First Affiliated Hospital,Zhejiang University school of Medicine,Hangzhou 310003.China 3 Cancer Biology Center and Department of Pharmaceutical sciences,Texas Tech University Health sciences Center school of Pharmacy,Amarillo,TX 79106,{4. 3Cancer Biology Center and Department of Pharmaceutical sciences Texas Tech University Health Sciences Center School of Pharmacy Amarillo TX 79106 USA 2Laboratory of Chang-Kung Scholars Program for Tumor Biology First Affiliated Hospital Zhejiang University School of Medicine Hangzhou 310003 China 2Laboratory of Chang-Kung Scholars Program for Tumor Biology First Affiliated Hospital Zhejiang University School of Medicine Hangzhou 310003 China

Recepteur d’origine nantais(RON)belongs to a subfamily of receptor tyrosinekinases(RTK)with unique expression patterns and biological *** isactivated by a serum-derived growth factor macrophage stimulating protein(MSP).The RON gene transcription is essential for embryonic development and critical inregulating certain physiological *** studies have indicated thataltered RON expression contributes significantly to cancer progression *** primary tumors,such as colon and breast cancers,overexpressionof RON exists in large numbers and is often accompanied by the generation ofdifferent splicing *** RON variants direct a unique program thatcontrols cell transformation,growth,migration,and invasion,indicating that al-tered RON expression has the ability to regulate motile/invasive *** activities were also seen in transgenic mice,in which targeted expression ofRON in lung epithelial cells resulted in numerous tumors with pathological fea-tures of human bronchioloalveolar ***,abnormal RON activation isa pathogenic factor that transduces oncogenic signals leading to uncontrolledcell growth and subsequent malignant *** these facts,RON and its variants can be considered as potential targets for *** using small interfering RNA and neutralizing mono-clonal antibodies demonstrated that suppressing RON expression and activationdecreases cancer cell proliferation,increases apoptotic death,prevents tumorformation in nude mice,and reduces malignant ***,blocking RONexpression and activation has clinical significance in reversing malignant pheno-types and controlling tumor growth.

关键词： growth factor receptor signal transduction tumorigenesis monoclonal antibody small molecule inhibitor therapeutics

Preliminary study on interaction between plant frictional root and rock-soil mass

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Science China(Technological sciences) 2010年第7期53卷 1938-1942页

作者： YAN ZhiXin1’2, SONG Yun3, JIANG Ping1’2 & WANG HouYu4.1 Key Laboratory of Mechanics on Disaster and Environment in Western China (Lanzhou University), Ministry of Education, Lanzhou 730000, China 2 school of Civil Engineering and Mechanics, Lanzhou University, Lanzhou 730000, China 3 College of Civil Engineering and Mechanics, Central South University of forestry and Technology, Changsha 4.0004. China 4.Air Force Engineering Design & Research Bureau, Beijing 100077, China 1. Key Laboratory of Mechanics on Disaster and Environment in Western China (Lanzhou University) Ministry of Education Lanzhou 730000 China2. School of Civil Engineering and Mechanics Lanzhou University Lanzhou 730000 China3. College of Civil Engineering and Mechanics Central South University of Forestry and Technology Changsha 410004 China4. Air Force Engineering Design & Research Bureau Beijing 100077 China

The interaction between lateral root system of woody plant and soil mass is similar to the one between shrub, herbage and soil mass, and has the effect of frictional reinforcement on slope soil. It plays an important role in reinforcing soil strength in shallow slope. Therefore, slope soil mass can be considered as a composite of soil and plant roots and the soil strength and stability of shallow slope soil mass are improved. However, current researches still remain on the level of qualitatively analyzing the relation between root and soil mass. In this paper, some exploratory researches on quantitative analysis of the interaction mechanism between root and soil mass are conducted. With the study of interaction between herbage root system (lateral root system of woody plants) and soil mass, the mechanical model of interaction between frictional root and soil mass is established. The accuracy of the model is verified by field experiments of Pinus Yunnanensis. The mechanical model provides a crucial theoretical guidance to quantitatively analyzing the interaction between plant root and soil mass; it also has certain values in application.

关键词： plant slope protection vegetation for slope protection mechanical model frictional root

A formula on linear complexity of highest coordinate sequences from maximal periodic sequences over Galois rings

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Progress in Natural Science:Materials International 2006年第9期16卷 998-1001页

作者： HU Lei and SUN Nigang (State Key Laboratory of Information Security, Graduate school of Chinese Academy of sciences, Beijing 10004., China) [a]State Key Laboratory of Information Security Graduate School of Chinese Academy of Sciences Beijing China

Using a polynomial expression of the highest coordinate map, we deduce an exact formula on the linear complexity of the highest coordinate sequence derived from a maximal periodic sequence over an arbitrary Galois ring of characteristic p2 , where p is a prime. This generalizes the known result of Udaya and Siddiqi for the case that the Galois ring is Z4.

关键词： Galois ring highest coordinate sequence linear complexity.

Large deviation principle for diffusion processes under a sublinear expectation

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Science China Mathematics 2012年第11期55卷 2205-2216页

作者： CHEN ZengJing 1,2 & XIONG Jie 3,4.1 school of Mathematics,Shandong University,Jinan 250100,China 2 Department of Financial Engineering,Ajou University,Suwon 4.374.,Korea 3 Department of Mathematics,University of Macao,PO Box 3001,Macao,China 4.Department of Mathematics,University of Tennessee,Knoxville,TN 37996-13.0,usa 1. school of Mathematics Shandong University Jinan 250100 China 2. Department of Financial Engineering Ajou University Suwon 443749 Korea 3. Department of Mathematics University of Macau PO Box 3001 Macau China 4. Department of Mathematics University of Tennessee Knoxville TN 37996-1300 USA

We represent the exponential moment of the Brownian functionals under a nonlinear expectation according to the solution to a backward stochastic differential *** an application,we establish a large deviation principle of the Freidlin and Wentzell type under the corresponding nonlinear probability for diffusion processes with a small diffusion coefficient.

关键词： large deviation principle backward stochastic differential equation g-expectation ambiguity

Configural processing of different topologically structured figures:an ERP Study

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Science China(Life sciences) 2009年第12期52卷 1198-1204页

作者： ZHANG JunJun1, ZHU WeiNa2,3,4. DING XiaoJun1, ZHOU ChangLe1, HU XinTian2,3 & MA YuanYe2,3· 1 Lab of Mind, Art and Computation, Xiamen University, Xiamen 361005, China 2 Kunming Institute of Zoology, Chinese Academy of sciences, Kunming 650223, China 3 State Key Laboratory of Brain and Cognitive Science, Institute of Biophysics, Chinese Academy of sciences, Beijing 1001001, China 4.school of Information Science, Yunnan University, Kunming 650223, China 1. Lab of Mind Art and Computation Xiamen University Xiamen 361005 China 2. Kunming Institute of Zoology Chinese Academy of Sciences Kunming 650223 China 3. State Key Laboratory of Brain and Cognitive Science Institute of Biophysics Chinese Academy of Sciences Beijing 1001001 China 4. school of Information Science Yunnan University Kunming 650223 China

According to Chen's theory, topological differences are perceived faster than feature differences in early visual perception. We hypothesized that topological perception is caused by the sensitivity in discriminating figures with and without "holes" . An ERP experiment was conducted utilizing a passive paradigm to investigate the differences in perceiving figures with "hole" and with "no-hole" . The results showed differences in N170 components between figures with "holes" and with "no-holes" . The inversion of the "hole" could influence the latency of N170, but the inversion of the "no-hole" could not, which indicated that global features are processed first in the "hole" perception whilst local features are given priority to the "no-hole" perception. This result was similar to studies concerning face and non-face objects, suggesting a configural processing of the "hole" .

关键词： visual evoked potential topological perception N170

Stability of discrete Hopfield neural networks with delay

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Journal of Systems Engineering and Electronics 2005年第4期16卷 937-940页

作者： Ma Runnian 1,2 , Lei Sheping3 & Liu Naigong4.. Telecommunication Engineering Inst., Air Force Engineering Univ., Xi’an 710071, P. R. China 2. Key Lab of Information sciences and Engineering, Dalian Univ., Dalian 111662, P. R. China 3. school of Humanity Law and Economics, Northwestern Polytechnical Univ., Xi’an 710072, P. R. China 4. Science Inst., Air Force Engineering Univ., Xi’an 710051, P. R. China Telecommunication Engineering Inst. Air Force Engineering Univ. XT an 710071 P. R. China Key Lab of Information sciences and Engineering Dalian Univ. Dalian 111662 P. R. China school of Humanity Law and Economics Northwestern Polytechnical Univ. XT an 710072 P. R. China Science Inst. Air Force Engineering Univ. XT an 710051 P. R. China

Discrete Hopfield neural network with delay is an extension of discrete Hopfield neural network. As it is well known, the stability of neural networks is not only the most basic and important problem but also foundation of the network＇s applications. The stability of discrete HJopfield neural networks with delay is mainly investigated by using Lyapunov function. The sufficient conditions for the networks with delay converging towards a limit cycle of length 4.are obtained. also, some sufficient criteria are given to ensure the networks having neither a stable state nor a limit cycle with length 2. The obtained results here generalize the previous results on stability of discrete Hopfield neural network with delay and without delay.

关键词： discrete Hopfield neural network with delay stability limit cycle.

CLASSIFICATION OF SOLUTIONS FOR A CLASS OF SINGULAR INTEGRal SYSTEM

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Acta Mathematica Scientia 2011年第4期31卷 1449-1456页

作者：许建开谭忠 College of sciences Hunan Agriculture University school of Mathematical sciences Xiamen University

In this paper, we consider the following integral system： u（x） = R n v q （y）｜ x y ｜ nα dy, v（x） = R n u p （y）｜ x y ｜ nμ dy, （0.1） where 0 〈 α, μ 〈 n; p, q ≥ 1. Using the method of moving planes... 详细信息

In this paper, we consider the following integral system： u（x） = R n v q （y）｜ x y ｜ nα dy, v（x） = R n u p （y）｜ x y ｜ nμ dy, （0.1） where 0 〈 α, μ 〈 n; p, q ≥ 1. Using the method of moving planes in an integral form which was recently introduced by Chen, Li, and Ou in [2, 4. 8], we show that all positive solutions of （0.1） are radially symmetric and decreasing with respect to some point under some general conditions of integrability. The results essentially improve and extend previously known results [4. 8].

关键词： Hardy-Littlewood-Sobolev inquality integral equation moving plane interpolation inequality radial symmetry

Identification and Characterization of glnA Promoter and its Corresponding Trans-regulatory Protein GlnR in the Rifamycin SV Producing Actinomycete,Amycolatopsis mediterranei U32

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Acta Biochimica et Biophysica Sinica 2006年第12期38卷 831-843页

作者： Hao YU~(1&) Wen-Tao PENG~1 Yang LIU~1 Ting WU~2 Yu-Feng YAO~1 Ming-Xue CUI~1 Wei-Hong JIANG~1 Guo-Ping ZHAO~(1,3,4.) 1 Laboratory of Molecular Microbiology,Institute of Plant Physiology and Ecology,Shanghai Institutes for Biological sciences,Chinese Academy of sciences,Shanghai 200032,China 2 Department of Medicinal Chemistry,school of Pharmacy,Fudan University,Shanghai 200032,China 3 State Key Laboratory of Genetic Engineering & Department of Microbiology,school of Life Science,Fudan University,Shanghai 2004.3,China 4.Laboratory of Disease and Health Genomics,Chinese National Human Genome Center at Shanghai,Shanghai 201203,China Laboratory of Molecular Microbiology Institute of Plant Physiology and Ecology Shanghai Institutes for Biological Sciences Chinese Academy of Sciences Shanghai 200032 China Department of Medicinal Chemistry School of Pharmacy Fudan University Shanghai 200032 China State Key Laboratory of Genetic Engineering & Department of Microbiology School of Life Science Fudan University Shanghai 200433 China Laboratory of Disease and Health Genomics Chinese National Human Genome Center at Shanghai Shanghai 201203 China

The genetic requirements for the transcription of glnA,encoding the major glutaminesynthetase in a rifamycin SV-producing Amycolatopsis mediterranei strain,U32,were *** experiments showed that the promoter of U32 glnA （pglnA） was likely to have two transcriptioninitiation sites:P1and P2,located 157 and 4. nucleotides （nt） upstream of the translational start codon,*** mobility shift and DNase I footprinting analyses revealed a 30 bp cis-element locatedat 4. to 75 nt downstream of P1,or 38 to 68 nt upstream of *** sequence of the cis-element displayedhigh similarity to the corresponding regions of pglnA from Streptomyces coelicolor and *** as a reporter gene,the expression levels of U32 pglnA and its deletion derivatives under differentnitrogen-source conditions were analyzed by detecting the catechol dioxygenase activities in ***54.*** J508 and *** FS10 （glnR mutant）.These in vivo studies showed that theactivation of U32 pglnA in *** required GlnR,and its binding to the U32 pglnA was furtherconfirmed by the gel mobility shift *** and heterologous expression of the U32 glnR allowed usto detect the in vitro interaction between the U32 GlnR and the corresponding pglnA *** shown by in vivo glnR inactivation and complementation indicated that GlnR is essential for theactive transcription of glnA in U32.

关键词： glnA promoter cis-element glnR Amycolatopsis mediterranei