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51.
设n,k为自然数,G(n)阶群中的同构类数,Fk(x)与Qk(x)分别表示不超过x的自然数中使G(n)=k的自然数、无平方因子自然数的个数.本文的目的是用Brun筛法证明Qk(x)的条件渐近公式并对Fk(x)的渐近性质做出了推测. 相似文献
52.
Serge Bouc 《Algebras and Representation Theory》2003,6(5):515-543
Let p be a prime number. This paper describes the primitive idempotents and prime spectrum of the crossed Burnside algebra of a finite group over a p-local ring. The main application is a formula for the block idempotents of the p-local Mackey algebra of the group, in terms of the corresponding bloks of the group algebra. 相似文献
53.
The present work is divided into three parts. First we study the null hypersurfaces of the Minkowski space , classifying all rotation null hypersurfaces in . In the second part we start our analysis of the submanifold geometry of the null hypersurfaces. In the particular case of the -dimensional light cone, we characterize its totally umbilical spacelike hypersurfaces, show the existence of non-totally umbilical ones and give a uniqueness result for the minimal spacelike rotation surfaces in the -dimensional light cone. In the third and final part we consider an isolated umbilical point on a spacelike surface immersed in the 3-dimensional light cone of and obtain the differential equation of the principal configuration associated to this point, showing that every classical generic Darbouxian principal configuration appears in this context. 相似文献
54.
55.
In this work we study single balance law ut+∇⋅Φ(u)=f(u) with bounded initial value, and find that there may exist maximal and minimal solutions, if f(u) is not Lipschitz continuous at u=0. We also show that comparison principle is valid for such solutions, and the solutions may blow up or not under certain conditions. It is determined by the strength of source supply, as well as the competition between the source and flux. 相似文献
56.
设R是一个素环,RF是它的左Martindale商环.如果φ(xigik△ij)是环R的某个本质理想I的一个多重线性既约且带有自同构的广义微分恒等式,那么φ(zikj)是环RF的一个广义多项式恒等式.设R是一个具有特征P≥0的半素环,RF是它的左Martindale商环.如果φ(xigik△ijfik)是环R的一个多重线性既约且带有自同构的广义微分恒等式,那么φ(zikjfike(△ij)是环RF的一个广义多项式恒等式,这里fik和e(△ij)是RF中的幂等元. 相似文献
57.
58.
《Communications in Nonlinear Science & Numerical Simulation》2014,19(6):2071-2087
We develop an alternative approach for the form-finding of the minimal surface membranes (including cable membranes) using discrete models and nonlinear force density method. Two directed weighted graphs with 3 and 4-sided regional cycles, corresponding to triangular and quadrilateral finite element meshes are introduced as computational models for the form-finding problem. The triangular graph model is closely related to the triangular computational models available in the literature whilst the quadrilateral graph uses a novel averaging approach for the form-finding of membrane structures within the context of nonlinear force density method. The viability of the mentioned discrete models for form-finding are studied through two solution methods including a fixed-point iteration method and the Newton–Raphson method with backtracking. We suggest a hybrid version of these methods as an effective solution strategy. Examples of the formation of certain well-known minimal surfaces are presented whilst the results obtained are compared and contrasted with analytical solutions in order to verify the accuracy and viability of the suggested methods. 相似文献
59.
Yen Chih Chang Gen-qiang Wang 《Journal of Difference Equations and Applications》2013,19(7):1133-1162
A nonlinear three-term recurrence relation arising from seeking the steady states of a cellular neural network with bang‐bang control is studied. We show that each solution is periodic and its prime period can be determined by three of its consecutive terms. By means of this periodicity property, we may then solve the steady state problem which to our knowledge is not solved by other means. 相似文献