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对于给定的一个集合,分组测试问题是通过一系列的测试去确定这个集合的一个子集. 在文中, 作者首先运用动态规划的理论与方法, 建立了一个近似控制标准, 目的是对分组测试算法的构建过程进行有效控制, 使所构建的算法达到最优. 其次, 应用该近似控制标准研究了在n个硬币集合中确定一个伪硬币的最小平均测试数的问题. 文中所涉及的近似控制问题, 给出了在一个给定集合中去确定这个集合的一个子集的最优分组测试算法, 该最优分组测试算法是在平均测试步骤最少意义下的最优分组测试算法. 相似文献
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本文中,给定一台比较型测试装置和确切的三个相同伪硬币出现的信息,作者研究最小测试数的探求问题,这个最小测试数能从λ个有同样外观的硬币组成的集合中鉴别出三个相同的伪硬币,这里λ≥4.作者构造了对于无限多个λ值的一个最优鉴别分组测试算法,这个最优鉴别分组测试算法改进了To(s)ic的对于无限多个λ值的一个最优鉴别分组测试算法,也改进了Bo(s)njak的对于无限多个λ值的一个最优鉴别分组测试算法.作者还提出另一个鉴别分组测试算法,并且猜想这个算法是最优的. 相似文献
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分组测试的NGT算法在许多领域有着广泛的应用,它的数学模型是d-disjunct矩阵.近年来,人们借助于复形理论、图理论、空间理论和容错估算等来研究它.介绍了分组测试和仿射平面的基本知识,在n阶仿射平面上构作了d-disjunct矩阵,证明了它的一些性质,与n阶射影平面上的d-disjunct矩阵作了比较. 相似文献
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讨论了分组数据下线性回归模型参数的MLE的存在、唯一性.通过EM算法获得MLE的近似解.通过SEM算法获得MLE的渐近协方差阵. 相似文献
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本文研究了变环境情形下Weibull分布分组数据可靠性估计的参数估计问题。给出一种基于EM算法的变环境分组数据Weibull分布参数估计方法,所得估计量具有良好的收敛性,模拟结果表明方法的实践可用性。 相似文献
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求解车辆路径问题的免疫算法 总被引:1,自引:0,他引:1
将免疫算法用于求解车辆路径问题,并根据车辆路径问题的具体情况提出了一种基于分组匹配的亲和力计算方法.实验结果表明,免疫算法能有效地应用于车辆路径问题. 相似文献
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In this paper, we prove that if a torsion nilpotent group G is a weak semi-radicable group, then every Sylow p-group Gp is a central-by-finite p-group, and moreover Gp's center ζ(GP) satisfies |ζ(GP) : (ζ(GP))P| <∞, that is, ζ(GP) = D×F, where D is a divisible Abelian group, and F is a finite Abelian group. 相似文献
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A. N. Starkov 《Mathematical Notes》1998,63(2):233-241
A criterion for a wide class of topological groups which includes linear discrete groups and Lie groups to be Tychonoff groups
is established. The main result provides a criterion for an almost polycyclic group to have the Tychonoff property. By the
well-known Tits alternative, this yields the required criterion for linear discrete groups. In conclusion it is pointed out
that a particular case of the presented proof yields a Tychonoff property criterion for Lie groups. In addition, an example
of a polycyclic group without Tychonoff subgroups of finite index is constructed.
Translated fromMatematicheskie Zametki, Vol. 63, No. 2, pp. 269–279, February, 1998.
The author wishes to express his gratitude to R. I. Grigorchuk for setting the problem and his interest in the work.
This research was supported by the Russian Foundation for Basic Research under grant No. 96-01-00182 and by the American Mathematical
Society Fund. 相似文献
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N. G. Khisamiev 《Siberian Mathematical Journal》2009,50(1):181-187
We consider a torsion-free nilpotent R p -group, the p-rank of whose quotient by the commutant is equal to 1 and either the rank of the center by the commutant is infinite or the rank of the group by the commutant is finite. We prove that the group is constructivizable if and only if it is isomorphic to the central extension of some divisible torsion-free constructive abelian group by some torsion-free constructive abelian R p -group with a computably enumerable basis and a computable system of commutators. We obtain similar criteria for groups of that type as well as divisible groups to be positively defined. We also obtain sufficient conditions for the constructivizability of positively defined groups. 相似文献
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Spectra of finite linear and unitary groups 总被引:1,自引:0,他引:1
A. A. Buturlakin 《Algebra and Logic》2008,47(2):91-99
The spectrum of a finite group is the set of its element orders. An arithmetic criterion determining whether a given natural
number belongs to a spectrum of a given group is furnished for all finite special, projective general, and projective special
linear and unitary groups.
Supported by RFBR (grant Nos. 08-01-00322 and 06-01-39001) and by the Council for Grants (under RF President) and State Aid
of Leading Scientific Schools (project NSh-344.2008.1).
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Translated from Algebra i Logika, Vol. 47, No. 2, pp. 157–173, March–April, 2008. 相似文献
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Dikran N. Dikranjan 《代数通讯》2013,41(15):6073-6090
We study classes of abelian groups related to sequential com¬pactness and its generalizations (completeness, coarseness and sequential pre-compactness) in convergence groups. In particular, we describe the algebraic structure of the abelian groups on which every coarse convergence is complete and we prove that: i) every abelian group admits a sequentially precompact convergence; ii) every algebraically compact abelian group admits a sequen¬tially compact convergence. 相似文献
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Let {ie166-01} be a set of finite groups. A group G is said to be saturated by the groups in {ie166-02} if every finite subgroup
of G is contained in a subgroup isomorphic to a member of {ie166-03}. It is proved that a periodic group G saturated by groups
in a set {U3(2m) | m = 1, 2, …} is isomorphic to U3(Q) for some locally finite field Q of characteristic 2; in particular, G is locally finite.
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Translated from Algebra i Logika, Vol. 47, No. 3, pp. 288–306, May–June, 2008. 相似文献
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In this paper, we completely determine the structure of the unit group of the group algebra of some dihedral groups D2 n over the finite field Fpk, where p is a prime. 相似文献
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51. IntroductionIt is quite clear that the ekistence of complements for some families of subgroups of agroup gives a lot ofinfor~ion about its structure. FOr instance, Hall[6] proved that a groupG is supersoluble with elementary abelian Sylow subgroups if and only if G is complemellted,that is, every subgroup of G is comPlemeded in G. The same anchor also proved that agroup is soluble if and only if every Sylow subgroup is complemellted (see [3;I,3.5]). Morerecelltly, Arad and Wardll] pro… 相似文献
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