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Science china(Physics,Mechanics & Astronomy) 2010年第11期53卷 2125-2130页

作者： JIANG Quan 1,2 & GAO CunFa 1 1 College of Aerospace Engineering,Nanjing university of Aeronautics and Astronautics,Nanjing 210016,china 2.school of Civil Engineering,nantong university,nantong 226019,china 1. College of Aerospace Engineering Nanjing University of Aeronautics and Astronautics Nanjing 210016 China2. School of Civil Engineering Nantong University Nantong 226019 China

The general expressions of finite Hankel transform are naturally deduced with the help of the property of Bessel *** equations in this paper can degenerate into three kinds of boundaries since all the coefficients in the boundary conditions are taken into *** results can be adopted in solving physics problems involving the finite Hankel transform.

关键词： hankel transform bessel function finite integral

An output delay approach to fault estimation for sampled-data systems

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Science china(Information sciences) 2012年第9期55卷 2128-2138页

作者： WEN ChengLin 1,QIU AiBing 2 & JIANG Bin 3 1 Institute of Information and Control,Hangzhou Dianzi university,Hangzhou 310018,china 2.school of Electrical Engineering,nantong university,nantong 226019,china 3 College of Automation Engineering,Nanjing university of Aeronautics and Astronautics,Nanjing 210016,china 1. Institute of Information and Control Hangzhou Dianzi University Hangzhou 310018 China2. School of Electrical Engineering Nantong University Nantong 226019 China3. College of Automation Engineering Nanjing University of Aeronautics and Astronautics Nanjing 210016 China

The problem of fault estimation for a class of non-uniformly sampled-data systems is investigated from the time delay point of view in this ***,the output delay approach is employed to model the sampled-data system as a continuous-time one with time-varying delay ***,based on the analysis of the inapplicability of the adaptive fault diagnosis observer in such class of time-delay systems,a novel augmented fault estimation observer design method is proposed to guarantee the exponential convergence of the estimation ***,an extension to the case of time varying fault estimation for the noisy sampled-data systems is ***,simulation results of a flight control system are presented to demonstrate the effectiveness of the proposed method.

关键词： fault estimation non-uniformly sampled-data augmented observer output delay

P_(4k-1)-factorization of complete bipartite graphs

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Science china Mathematics 2005年第4期48卷 539-547页

作者： DU Beiliang & WANG Jian Department of Mathematics, Suzhou university, Suzhou 215006, china nantong Vocational College, nantong 226007, china 1. Department of Mathematics Suzhou University 215006 Suzhou China 2. nantong Vocational College 226007 Nantong China

Let Km,n be a complete bipartite graph with two partite sets having m and n vertices, respectively. A Pv-factorization of Km,n is a set of edge-disjoint pv-factors of Km,n which partition the set of edges of Km,n. When v is an even number, Wang and Ushio gave a necessary and sufficient condition for the existence of Pv-factorization of Km,*** v is an odd number, Ushio in 1993 proposed a conjecture. However, up to now we only know that Ushio Conjecture is true for v = 3. In this paper we will show that Ushio Conjecture is true when v = 4k - 1. That is, we shall prove that a necessary and sufficient condition for the existence of a P4k-1-factorization of Km,n is (1) (2k - 1)m ≤ 2kn, (2) (2k -1)n≤2km, (3) m + n ≡ 0 (mod 4k - 1), (4) (4k -1)mn/[2(2k -1)(m + n)] is an integer.

关键词： complete bipartite graph, factorization, Ushio Conjecture.

THE PROJECTIVE PLANE CROSSING NUMBERS OF CIRCULAR GRAPHS

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Journal of Systems Science & Complexity 2008年第2期21卷 316-322页

作者： Dengju MA Han REN school of Science Nantong University Nantong 226007 China Department of Mathematics East China Normal University Shanghai 200062 China

The authors give an upper bound for the projective plane crossing number of a circular graph. Also, the authors prove the projective plane crossing numbers of circular graph C （8, 3） and C （9, 3） are 2 and 1, resp... 详细信息

关键词： Circular graph crossing number projective plane crossing number.

The spectrum of path factorization of bipartite multigraphs

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Science china Mathematics 2007年第7期50卷 1045-1054页

作者： Jian WANG~1 Bei-liang DU~(2+) 1 nantong Vocational College,nantong 226007,china 2 Department of Mathematics,Suzhou university,Suzhou 215006,china 1. nantong Vocational College Nantong 226007 China 2. Department of Mathematics Suzhou University Suzhou 215006 China

Let λK m,n be a bipartite multigraph with two partite sets having m and n vertices, respectively. A P v-factorization of λK m,n is a set of edge-disjoint P v-factors of λK m,n which partition the set of edges of λK m,n . When v is an even number, Ushio, Wang and the second author of the paper gave a necessary and sufficient condition for the existence of a P v-factorization of λK m,n . When v is an odd number, we have proposed a conjecture. Very recently, we have proved that the conjecture is true when v = 4k ? 1. In this paper we shall show that the conjecture is true when v = 4k + 1, and then the conjecture is true. That is, we will prove that the necessary and sufficient conditions for the existence of a P 4k+1-factorization of λK m,n are (1) 2km ? (2k + 1)n, (2) 2kn ? (2k + 1)m, (3) m + n ≡ 0 (mod 4k + 1), (4) λ(4k + 1)mn/[4k(m + n)] is an integer.

关键词： bipartite multigraph factorization 05B30 05C70

P_(4k-1)-factorization of bipartite multigraphs

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Science china Mathematics 2006年第7期49卷 961-970页

作者： WANG Jian & DU Beiliang nantong Vocational College, nantong 226007, china Department of Mathematics, Suzhou university, Suzhou 215006, china 1. Vocational College Nantong 226007 China 2. Department of Mathematics Suzhou University Suzhou 215006 China

LetλKm,n be a bipartite multigraph with two partite sets having m and n vertices, respectively. A Pν-factorization ofλKm,n is a set of edge-disjoint Pν-factors ofλKm,n which partition the set of edges ofλKm,n. Whenνis an even number, Ushio, Wang and the second author of the paper gave a necessary and sufficient condition for the existence of a Pν-factorization ofλKm,n. When v is an odd number, we proposed a conjecture. However, up to now we only know that the conjecture is true forν= 3. In this paper we will show that the conjecture is true whenν= 4k-1. That is, we shall prove that a necessary and sufficient condition for the existence of a P4k-1-factorization ofλKm,n is (1) (2k-1)m≤2kn, (2) (2k-1)n≤2km, (3)m + n = 0 (mod 4k-1), (4)λ(4k-1)mn/[2(2k-1)(m + n)] is an integer.

关键词： bipartite multigraph, factor, factorization.

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灵光独耀:沈宗灵与中国法理学

中国法律评论 2024年第4期 149-154页

作者： Peking university Law school 北京大学法学院

在其诸多弟子的追忆中,沈宗灵先生一生专心治学、淡泊名利,由此常常对世事保持一种有意的疏离。“灵光独耀,迥脱根尘”,或许便是这位法理学大家的灵魂写照。壹“经国济民”:沈宗灵的早年岁月1923年2月24日,沈宗灵出生于浙江杭州的一个... 详细信息

在其诸多弟子的追忆中,沈宗灵先生一生专心治学、淡泊名利,由此常常对世事保持一种有意的疏离。“灵光独耀,迥脱根尘”,或许便是这位法理学大家的灵魂写照。壹“经国济民”:沈宗灵的早年岁月1923年2月24日,沈宗灵出生于浙江杭州的一个商人家庭,后随家人迁居上海。

关键词：沈宗灵淡泊名利法理学浙江杭州灵光

The proof of Ushio's conjecture concerning path factorization of complete bipartite graphs

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Science china Mathematics 2006年第3期49卷 289-299页

作者： DU Beiliang & WANG Jian Department of Mathematics, Suzhou university, Suzhou 215006, china nantong Vocational College, nantong 226007, china Department of Mathematics Suzhou University Suzhou 215006 China nantong Vocational College Nantong 226007 China

Let Km,n be a complete bipartite graph with two partite sets having m and n vertices, respectively. A Pv-factorization of Km,n is a set of edge-disjoint Pv-factors of Km,n which partition the set of edges of Km,n. When v is an even number, Wang and Ushio gave a necessary and sufficient condition for existence of Pv-factorization of Km,n. When k is an odd number, Ushio in 1993 proposed a conjecture. Very recently, we have proved that Ushio's conjecture is true when v = 4k - 1. In this paper we shall show that Ushio Conjecture is true when v = 4k + 1, and then Ushio's conjecture is true. That is, we will prove that a necessary and sufficient condition for the existence of a P4k+1-factorization of Km,n is (i) 2km ≤ (2k + 1)n,(ii) 2kn ≤ (2k + 1)m, (iii) m + n ≡ 0 (mod 4k + 1), (iv) (4k + 1)mn/[4k(m + n)] is an integer.

关键词： complete bipartite graph, factorization, Ushio Conjecture.

Protein expression profile in the differentiation of rat bone marrow stromal cells into Schwann cell-like cells

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Science china(life sciences) 2009年第3期52卷 267-277页

作者： LI WenTing1,SUN HuaLin2,XU ZengLu1,DING Fei2 & GU XiaoSong2 1 Department of Anatomy,Histology and Embryology,Peking Union Medical College,Institute of Basic Medical Science,Chinese Academy of Medical sciences,Beijing 100005,china 2 Jiangsu Key Laboratory of Neuroregeneration,nantong university,nantong 226001,china 1. Department of Anatomy Histology and Embryology Peking Union Medical College Institute of Basic Medical Science Chinese Academy of Medical Sciences Beijing 100005 China 2. Jiangsu Key Laboratory of Neuroregeneration Nantong University Nantong 226001 China

During the last decade,increasing evidence suggested that bone marrow stromal cells(MSCs) have the potential to differentiate into neural *** studies have reported that MSCs showed morphological changes and expressed a limited number of neural proteins under experimental ***,no proteomic studies on MSCs differentiated into Schwann cell-like cells have been *** this study,we isolated MSCs from adult Sprague-Dawley rat femur and tibia bone marrows and induced the cells in vitro under specific *** using two-dimensional gel electrophoresis(2-DE),we compared the protein profiles of MSCs before and after induced *** obtained 792 protein spots in the protein profile by 2-DE,and found that 74 spots changed significantly before and after the differentiation using PDQuest software,with 43 up-regulated and 31 *** analyzed these 74 spots by a matrix assisted laser desorption ionization-time of flight mass spectrometry(MALDI-TOF-MS) and by database searching,and found that they could be grouped into various classes,including cytoskeleton and structure proteins,growth factors,metabolic proteins,chaperone proteins,receptor proteins,cell cycle proteins,calcium binding proteins,and other *** proteins also include neural and glial proteins,such as BDNF,CNTF and *** results may provide valuable proteomic information about the differentiation of MSCs into Schwann cell-like cells.

关键词： one marrow stromal cells(MSCs) differentiation Schwann cell-like cells proteomics