共查询到20条相似文献,搜索用时 62 毫秒
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引入偏序集的相对极大滤子的概念,证明在任意条件交半格中一个滤子是相对极大滤子当且仅当它是滤子格的完全交不可约元.一个格是分配的当且仅当每一个相对极大滤子都是素滤子.随后研究了Heyting代数中相对极大滤子的刻画,最后定义和研究了完全并既约生成格. 相似文献
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连续并既约元及其在刻画Fuzzy关系方程解集中的应用 总被引:7,自引:0,他引:7
本文首先引入连续并既约元(是并既约元但不是完全并既约元的元)的概念,并讨论了它的性质,然后应用连续并既约元的性质去刻画完备Brouwer格上无限Fuzzy关系方程A☉X=b的解集(其中A=(aj)j∈J和b已知,b为连续并既约元,X= (xj)j∈JT未知,“☉”表示“sup-inf”,J为无限集):给出了方程存在可达解与不可达解的充要条件及可达解与不可达解的一些性质,进一步刻画了方程的解集. 相似文献
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集值映射的伪(*)连续与弱(*)连续性 总被引:1,自引:0,他引:1
本文引入了集值映射的伪(*)连续性与弱(*)连续性概念的定义,研究了伪(*)连续、(*)连续及弱(*)连续的等价关系,最后研究了乘积空间中的集值映射成为伪(*)连续和弱(*)连续的充要条件。 相似文献
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在m维正欧式空间的子集类上, 通过引入集合的新序和依序收敛的概念,讨论新序意义下集值模糊测度的伪自连续、一致伪自连续性,并研究它们的蕴涵关系,从而丰富集值模糊测度的理论. 相似文献
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引入了涉及-较好容许集值映象的映-拓扑空间到-有限连续拓扑空间(简称,FC-空间)的优化映象族.在乘积FC-空间的非紧设置下埘这类优化映象族证明了某些极大元存在性定理.在乘积FC-空间内给出了对不动点和极小极大不等式组的应用.这些定理改进、统一和推广了最近文献中的很多重要结果. 相似文献
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曲边区域非齐次Dirichlet问题的类Wilson元逼近 总被引:6,自引:1,他引:5
1.引 言 本文考虑用类Wilson元求解曲边区域Ω上的非齐次Dirichlet问题.对于曲边区域上的Dirichlet问题,常见的方法是将剖分加密,使近似求解区域Ωh尽可能地逼近Ω.并得 相似文献
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This paper presents 2 methodologies based on the Boundary Element Method and the Finite Element Method to study soil-structure interaction effect on building behaviour. A 3-story building response induced by an incident wave field is studied using both methods. The results obtained show a good agreement. Then, a simplified model is validated from these methods and several buildings are analysed. Conclusions show that structural responses are due to floor deformation, and depend on their area, support conditions and coupling. A coupling between floors and columns when both elements have similar stiffness is also observed. 相似文献
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Let G be a finite group. Then we denote ψ(G) the sum of element orders in G. In [1] it is proved that if G is a non-cyclic group of order n, then ψ(G) < ψ(C n ), where C n is the cyclic group of order n. Here we generalize and improve this result, and also we give an application of this improvement. 相似文献
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The maximum element order in the groups related to the linear groups which is a multiple of the defining characteristic 总被引:1,自引:0,他引:1
Let n be a natural number and q be the power of a prime p. The general, special and projective special linear groups are denoted by GLn(q), SLn(q) and PSLn(q), respectively. In this paper we find the maximum order of an element of the above groups which is a multiple of p. 相似文献
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In this paper, some sufficient and necessary conditions for the commutative product of two elements of finite groups are given.
Moreover, some results are obtained by investigating the product of some elements. 相似文献
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带性能约束的矩形图元布局优化模型及不干涉性算法 总被引:11,自引:2,他引:9
本文讨论了以航天卫星仪器舱布局优化设计为背景的、带性能约束的矩形图元布局优化模型及不干涉性判别算法,主要讨论了模型的性质,并将这一模型转化为带反凸约束的凸规划问题。应用文献(4)给出的最优性条件及定界锥分拆算法,可求得带性能约束的矩形图元布局优化问题的全局最优解。 相似文献
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D. M. Pooley P. A. Forsyth K. R. Vetzal R. B. Simpson 《Applied Mathematical Finance》2013,20(1):33-60
Discretely observed barriers introduce discontinuities in the solution of two asset option pricing partial differential equations (PDEs) at barrier observation dates. Consequently, an accurate solution of the pricing PDE requires a fine mesh spacing near the barriers. Non-rectangular barriers pose difficulties for finite difference methods using structured meshes. It is shown that the finite element method (FEM) with standard unstructured meshing techniques can lead to significant efficiency gains over structured meshes with a comparable number of vertices. The greater accuracy achieved with unstructured meshes is shown to more than compensate for a greater solve time due to an increase in sparse matrix condition number. Results are presented for a variety of barrier shapes, including rectangles, ellipses, and rotations of these shapes. It is claimed that ellipses best represent constant (risk neutral) probability regions of underlying asset price-point movement, and are thus natural two-dimensional barrier shapes. 相似文献
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进一步讨论有1模格的等价定义问题,得到并证明了一个(2,2,0)型代数成为有1模格的一个充分必要条件.这样大大简化了有1模格的等价定义. 相似文献