共查询到20条相似文献,搜索用时 671 毫秒
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AurifeuilianFactorizationsofqq±1(q=pn)SunQi(孙琦)HongShaofang(洪绍方)(Dept.ofMath.,SichuanUniversity,Chengdu,Sichuan,610064)Commun... 相似文献
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李嘉禹 《数学年刊A辑(中文版)》1994,(4)
设M是具有非负Ricci曲率的完备Riemann流形,本文证明M上Sobolev不等式‖f‖q≤Cn,p,q(1≤P,q<∞)对一切(M)成立的充要条件是对一切x∈M,Vx(r)=Vol(Bx(r))≥且,而M上较弱的Sobolev不等式‖f‖q≤Cn‖F‖p)(1<p<q<∞)对一切f∈H(M)成立的充要条件是,且最后,证明了M上sobolev嵌入定理,如果,则;如果则成立. 相似文献
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徐赐文 《数理统计与应用概率》1996,11(3):210-219
设Xij,i=1,…,mlj=1…,n是任决一个随机变量阵列,令S(i1,j1;i2,j2)∑i=1,∑j=1Xij,M(i1,j1;i2,j2)maxijz≤i≤i2,j1≤j≤j2‖S(i1,j1;i,j)‖1≤i1≤i2≤m,1≤j1≤j2≤n)本文根据所设E(exp(t,/S(i1,j1;i2j2)/)),E/S(i1,j1;i2,j2)/和P(?S(i1,j1;i2,j2?/≥ i)的界 相似文献
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用初等变换进行矩阵的QR分解 总被引:1,自引:0,他引:1
引理引理1〔1〕设A=(α1,α2,…,αn)的列向量是Rn的一个基,可以用第三种列初等变换(Tk(i)+(j),i,j=1,2,…,n,i<j),求得可逆矩阵P,使得B=AP=(β1,β2,…,βn)的列向量为Rn的一个正交基,且βj可由α1,α2... 相似文献
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本文结果是:设A是φ-满射环R上的非拟纯量可逆n×n矩阵,βj,γj(尔≤j≤n)是R中任意元素,它们满足Πnj=1βjγj=detA,则存在n阶阵B和C满足PAP-1=BC,其中B是下三角阵,C是上三角阵,P∈GLn(R).进一步,可以取B使βj(1≤j≤n)位于B的主对角线上,同时可以取C使γj(1≤j≤n)位于C的主对角线上. 相似文献
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1 引言 设X是实的Banach空间,S X是闭子集. 考虑下述多目标优化问题:其中fk,k∈N≡{1,…,n},gi,i∈M≡{1,…,m},hi,j∈P≡{1,…,p}均是定义在某开集(包含S)上的局部Lipschitz函数. 集合S0={x∈S:gi(x)≤0,i∈M,,hi(x)=0,j∈P}称为(VP)的可行解集.(VP)的局部有效解和局部弱有效解的定义见[2].设φ:X→R是局部Lipschitz函数,则 φ(x)称为φ在x处的Clarke广义梯度[3]. 关于非光滑多目标优化问题(V… 相似文献
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复数域上线性系统x=A(t)x,当A(t)=(aij(t))n×n具有(n,N,r) 差异性质且rn时,解的特征数j有估计λj-limt→∞1t∫tt0Reaj(τ)dτn-1r+1-nlimt→∞1t∫tt0A(τ)dτ,j=1,2,…,n,其中A(t)=max{|aij(t)|:i,j=1,2,…,n,i≠j.} 相似文献
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qq±1(q=pn)的Aurifeuilian分解孙琦洪绍方(四川大学数学系)摘要设素数p≡ε(mod4),其中ε=1,-1,n为正整数,q=pn,q1=qq/p,η=ηq=exp(2πi/q).Φm(x)表示m阶分圆多项式.记Sε=Φq(εq),本... 相似文献
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关于四面体不等式一个猜想的否定410012湖南教育学院数学系张本文约定:四面体面Δ4=A1A2A3A4内一点P到面Si(其面积也记为Si)的距离为di(i=1,2,3,4),Δ4的体积、外接球半径、内切球半径和校长分别记为V、R、r和ai(i=1,2... 相似文献
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Journal of the Operational Research Society - 相似文献
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Colin Jex 《The Journal of the Operational Research Society》1989,40(10):942-943
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B. Benjamin 《The Journal of the Operational Research Society》1970,21(3):380-381
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Jennifer A. Clark N. A. J. Hastings 《The Journal of the Operational Research Society》1977,28(1):51-68
Decision Networks is a technique for solving problems which involve a sequence of decisions. It is similar in style to critical path analysis in that it consists of arrow diagrams which give a visual representation of the problem and are used as a basis for a simple calculation procedure. The technique can deal with deterministic and stochastic problems and in the latter case is more general than decision trees. The decision network approach meets the need for a method of solution for multi-stage decision problems which is easily understood, helps the user to visualize the nature of the problem and is routine in application. 相似文献
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王爱民 《数学的实践与认识》2003,33(12):23-30
本文针对多因素决策问题 ,建立了一种多专家协调决策的理论、方法、计算过程和应用实例 .设计了相应的智能化计算机决策支持系统 . 相似文献
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The paper argues that, until very recently, decision analysts have devoted relatively little attention to the processes of problem formulation and subjective judgement in handling ill-structured strategic decision problems. Therefore, following a brief review of existing varieties of decision analysis, a modified policy dialogue' model of decision analysis is presented which integrates decision analysis with decision aids and decision support technology. This model is developed using as an illustration strategic problems drawn from the insurance industry. The paper concludes with some suggestions for the successful application and implementation of decision analysis. 相似文献