共查询到20条相似文献,搜索用时 203 毫秒
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本文对于置换群中,恰具 l 个轮的置换个数,以及恰具 l 个轮换但无1—轮换的置换个数的计数问题,给出了一个明确而简洁的计算公式。这不论对有关问题的理论研究方面,还是实际应用都有其一定的意义。 相似文献
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本文研究有有界运动的置换群,给出了非单位元恰有两个运动的有极大次数的传递置换群的结构和分类,推广了文献[1]的结果. 相似文献
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同步置换群的研究是置换群理论中的一个前沿课题.通过在有限域上定义广义Paley图,来讨论这类图的团数(clique number)和色数(chromatic number)相等的条件.然后证明构造的广义Paley图和一类仿射群的轨道图同构,进而讨论这类仿射群的同步性.在此基础上给出一类本原非同步群的构造. 相似文献
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从2004年9月份起,山东、广东、宁夏、海南四省(区)开始进行高中课标新课程实验.在新课程中,算法作为数学及其应用的重要组成部分,第一次成为高中数学必修课的内容,是数学3的一个主要部分.新增算法内容,既反映时代的要求,也反映我国古代数学重视计算的优良传统.算法教学有利于培养学生的逻辑思维能力,有利于学生理解构造性数学,为学生未来的学习特别是信息技术方面的学习提供支持.那么高中学生对算法的情感态度如何? 相似文献
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LIANG Jun-qi 《数学季刊》2004,19(3):300-305
This paper is devoted to the study of the logical properties of BCK algebras. For formalized BCK algebra theory T, it is proved that T is preserved under submodels and unions of chains; T is neither complete nor model complete, and hence there exist no built-in Skolem function. Moreover, the ultraproduct BCK algebras and the fuzzy ultraproduct of fuzzy subsets of BCK algebras were proposed by using the concept of ultrafilters with corresponding properties of fuzzy ideals discussed. 相似文献
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离散卷积的W变换算法 总被引:10,自引:2,他引:8
离散卷积的W变换算法曾泳泓(国防科技大学)COMPUTINGDISCRETECONVOLUTIONSBYWTRANSFORM¥ZengYong-hong(NationalUniversityOfDefenseTechnology)Abstract:F... 相似文献
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分形集的逼近算法 总被引:3,自引:1,他引:2
杨海浪 《高等学校计算数学学报》1994,16(1):69-76
1引 言 设(X,d)是一个完备的距离空间,给定了X上的压缩映射组f_1,f_2,…,f_m记S={f_1,f_2,…,f_m},A是X的一个非空子集,如果具有性质A=∪f_i(A),则称A关于S是 相似文献
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Signed permutations form a group known as the hyperoctahedral group. We bound the rate of convergence to uniformity for a
certain random walk on the hyperoctahedral group that is generated by random reversals. Specifically, we determine that O(n log n) steps are both necessary and sufficient for total variation distance and ℓ2 distance to become small. This random walk arose as the result of an effort in molecular biology to model certain types of
genome rearrangements. 相似文献
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多阶段群体满意决策最优算法 总被引:1,自引:0,他引:1
针对多阶段群体满意决策问题,应用图论知识提出一种求解多阶段群体满意策略问题的最优算法.定义权ω为决策者对决策的总评价值,给出距离d和群体满意策略等概念.考虑实际情况中决策者的能力和认知的不同,赋予决策者变化的决策权重.将多阶段群体满意策略问题转换成在一个带有权向量的多部有向图中找权最大的路的问题.最后给出计算实例. 相似文献
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Tomasz ?uczak Edyta Szymańska 《Journal of Algorithms in Cognition, Informatics and Logic》1997,25(2):311-320
We present a randomized parallel algorithm with polylogarithmic expected running time for finding a maximal independent set in a linear hypergraph. 相似文献
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We explicitly give a group not isomorphic to any group of Mobius transformations of the three-dimensional sphere and acting quasiconformally on the three-dimensional sphere. 相似文献
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In this paper,we give a sufficient and neccesary condition under which a solvable Lie algebra is complete. 相似文献
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Suppose the group G is generated by permutations g1, g2, ...,g8 acting on a set of size n, such that g1g2...g8 is the identitypermutation. If the generator gi has exactly ci cycles (for1 i s), and G is transitive on , then n(s2) is a non-negative even integer. Thisis proved using an elementary graph-theoretic argument. 相似文献
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An Efficient Branch-and-bound Algorithm for Finding a Maximum Clique with Computational Experiments 总被引:2,自引:0,他引:2
We present an exact and efficient branch-and-bound algorithm MCR for finding a maximum clique in an arbitrary graph. The algorithm is not specialized for any particular type of graph. It employs approximate coloring to obtain an upper bound on the size of a maximum clique along with an improved appropriate sorting of vertices. We demonstrate by computational experiments on random graphs with up to 15,000 vertices and on DIMACS benchmark graphs that in general, our algorithm decidedly outperforms other existing algorithms. The algorithm has been successfully applied to interesting problems in bioinformatics, image processing, design of quantum circuits, and design of DNA and RNA sequences for biomolecular computation. 相似文献
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Although the conjugacy classes of the general linear group are known, it is not obvious (from the canonic form of matrices) that two permutation matrices are similar if and only if they are conjugate as permutations in the symmetric group, i.e., that conjugacy classes of S n do not unite under the natural representation. We prove this fact, and give its application to the enumeration of fixed points under a natural action of S n × S n . We also consider the permutation representations of S n which arise from the action of S n on ordered tuples and on unordered subsets, and classify which of them unite conjugacy classes and which do not. 相似文献
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Thomas Michael Keller 《Algebra Colloquium》2000,7(1):27-32
We study the action of finite permutation groups of odd order on the power set of a set on which they act naturally, and establish a theorem that guarantees the existence of a lot of distinct orbit sizes in this action.1991 Mathematics Subject Classification: 20B05 相似文献
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Mrinmoy Hota Madhumangal Pal Tapan K. Pal 《Computational Optimization and Applications》2001,18(1):49-62
The maximum weight k-independent set problem has applications in many practical problems like k-machines job scheduling problem, k-colourable subgraph problem, VLSI design layout and routing problem. Based on DAG (Directed Acyclic Graph) approach, an O(kn
2) time sequential algorithm is designed in this paper to solve the maximum weight k-independent set problem on weighted trapezoid graphs. The weights considered here are all non-negative and associated with each of the n vertices of the graph. 相似文献