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关于丢番图方程x(x+1)=Dy^(3) 被引量:3
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作者 王云葵 《常德师范学院学报(自然科学版)》 2000年第4期3-4,共2页
设p为素数 ,证明了丢番图方程x(x+ 1) =Dy3在D=p 1(mod 3)时仅有解 (p ,x ,y) =(2 ,1,1) ,(2 ,- 2 ,1) ,(17,5 831,12 6 ) ,(17,- 5 832 ,12 6 ) ;在D =2p ,p≡ 2 ,3,5 (mod 9)时仅有解 (x ,y ,p) =(2 ,1,3) ,(- 3,1,3) ;在D =4p ,p=5... 设p为素数 ,证明了丢番图方程x(x+ 1) =Dy3在D=p 1(mod 3)时仅有解 (p ,x ,y) =(2 ,1,1) ,(2 ,- 2 ,1) ,(17,5 831,12 6 ) ,(17,- 5 832 ,12 6 ) ;在D =2p ,p≡ 2 ,3,5 (mod 9)时仅有解 (x ,y ,p) =(2 ,1,3) ,(- 3,1,3) ;在D =4p ,p=5或p≡ 2 ,3(mod 9)时仅有解 (p ,x ,y) =(3 ,3,1) ,(3,- 4,1) ,(5 ,4,1) ,(5 ,- 5 ,1) ,(5 ,6 85 9,133) ,(5 ,- 6 86 0 ,133)。 展开更多
关键词 丢番图方程 正整数 ERDOES猜想 有限组解 无穷 非整整数 奇素数
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Moment Analysis of a Rice-Pile Model 被引量:1
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作者 ZHANGDuan-Ming UNHong-Zhang PANGui-Jun YUBo-Ming YINYan-Ping SUNFan LIRui SUXiang-Ying 《Communications in Theoretical Physics》 SCIE CAS CSCD 2005年第3期483-486,共4页
Large scale simulations of a rice-pile model are performed. We use moment analysis techniques to evaluate critical exponents and data collapse method to verify the obtained results. The moment analysis yields well-def... Large scale simulations of a rice-pile model are performed. We use moment analysis techniques to evaluate critical exponents and data collapse method to verify the obtained results. The moment analysis yields well-defined avalanche exponents, which show that the rice-pile model can be coherently described within a finite size scaling framework. The general picture resulting from our analysis allows us to characterize the large scale behavior of the present model with great accuracy. 展开更多
关键词 self-organized criticality rice-pile model moment analysis finite sizescaling
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Preconditioners for Incompressible Navier-Stokes Solvers 被引量:2
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作者 A.Segal M.ur Rehman C.Vuik 《Numerical Mathematics(Theory,Methods and Applications)》 SCIE 2010年第3期245-275,共31页
In this paper we give an overview of the present state of fast solvers for the solution of the incompressible Navier-Stokes equations discretized by the finite element method and linearized by Newton or Picard's m... In this paper we give an overview of the present state of fast solvers for the solution of the incompressible Navier-Stokes equations discretized by the finite element method and linearized by Newton or Picard's method.It is shown that block preconditioners form an excellent approach for the solution,however if the grids are not to fine preconditioning with a Saddle point ILU matrix(SILU) may be an attractive alternative. The applicability of all methods to stabilized elements is investigated.In case of the stand-alone Stokes equations special preconditioners increase the efficiency considerably. 展开更多
关键词 Navier-Stokes equations finite element method block preconditioners SIMPLE-typeschemes iterative methods incompressible fluids.
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Analysis of telescopic beam structure using couple of DOF technique and its application
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作者 郭峰 赵伟民 李瑰贤 《Journal of Harbin Institute of Technology(New Series)》 EI CAS 2009年第2期213-216,共4页
Couple of DOF technique in FEM and the algorithm for equation group solution in the whole stiffness matrix is studied in this paper. A new procedure is developed for the analysis of telescope beam structure. This meth... Couple of DOF technique in FEM and the algorithm for equation group solution in the whole stiffness matrix is studied in this paper. A new procedure is developed for the analysis of telescope beam structure. This method can solve most of the complex structural problems in engineering practice. This method has been used in the FEM analysis of pile frame of muhifunetion drilling machine, which is designed and manufactured by our research group. The right analysis result can improves the design efficiency and the reliability of the structure and reduce the design cost. 展开更多
关键词 telescopic beam structure solution method for couple of DOF FEM
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