• Title/Summary/Keyword: minimal open set

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On Minimum-Cost Rectilinear Steiner Distance-Preserving Tree (최소 비용 직각선분 Steiner 거리 유지 트리의 최적화)

  • Jo, Jun-Dong
    • The Transactions of the Korea Information Processing Society
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    • v.3 no.7
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    • pp.1707-1718
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    • 1996
  • Given a signal net N=s, 1,...,n to be the set of nodes, with s the source and the remaining nodes sinks, an MRDPT (minimum-cost rectilinear Steiner distance -preserving tree) has the property that the length of every source to sink path is equal to the rectilinear distance between the source and sink. The minimum- cost rectilinear Steiner distance-preserving tree minimizes the total wore length while maintaining minimal source to sink length. Recently, some heuristic algorithms have been proposed for the problem offending the MRDPT. In this paper, we investigate an optimal structure on the MRDPT and present a theoretical breakthrough which shows that the min-cost flow formulation leads to an efficient O(n2logm)2) time algorithm. A more practical extension is also in vestigated along with interesting open problems.

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Autonomic Service Composition of Localized Ubiquitous Services for Open Service Gateways (개방형 서비스 게이트웨이를 위한 유비쿼터스 지역서비스 자동구성)

  • No, Ji-Hoon;Yoon, Won-Sik
    • Journal of the Institute of Electronics Engineers of Korea TC
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    • v.48 no.9
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    • pp.17-26
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    • 2011
  • Many types of services appear in a ubiquitous environment promulgated by the evolution of web service technology with the advances in wireless network technologies and mobile computing devices. These services differ according to their location environments, such as home, office, airport, and exhibition. It is required that a different set of services dynamically drops into the mobile user's device depending on their context and the distributed localized services are efficiently managed to seamlessly provide these localized services to the user. This paper proposes an Autonomic Service Composition System (ASCS) to provide useful services to the user with minimal or no effort for service selection. ASCS seamlessly installs the programs of localized services in the user's mobile device. It automatically provides localized services to users that are in the local service zone. Also ASCS can manage distributed localized services remotely and efficiently. ASCS is composed of a Remote Manager, Service Gateway, and Mobile Device. The prototype implementation uses 802.11b Wireless Network and Bundles using the OSGi Framework.

Comparison of Treatment Methods in Completely Displaced Supracondylar Fractures of Humerus in Children - Open reduction and pinning versus Closed reduction and pinning- (완전 전위된 소아 상완골 과상부 골절의 치료 방법 비교 -관혈 정복 후 내고정술과 도수 정복 후 경피적 핀 고정술의 결과 비교-)

  • Lee, Sang-Ho;Choi, Joon-Cheol;Na, Hwa-Yeop;Lee, Young-Sang;Choi, Jun-Won;Lee, Sang-Yoon;Won, Jong-Won;Sin, Min-Ho;Kim, Woo-Sung
    • Clinics in Shoulder and Elbow
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    • v.9 no.1
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    • pp.96-104
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    • 2006
  • Purpose: To evaluate and compare the results of children with displaced supracondylar fractures of humerus treated with open reduction and pinning with closed reduction and pinning. Materials and Methods: From March 2002, we treated 17 patients with completely displaced supracondylar fractures under the age of 7 with a minimal follow up period of 6 months. 9 patients were treated with closed reduction and pinning and 8 patients were treated with open reduction and pinning. The clinical results were evaluated with Flynn's criteria. Time to bone union was also analyzed for these two set of patients. Results: The group treated with open reduction had 6 excellent and 2 good results for change in carrying angles, 5 excellent, 2 good and 1 fair results for motion loss evaluated by Flynn's criteria. The average time to bony union for this group was 5.8 weeks. The group treated with closed reduction had 6 excellent, 2 good, and 1 fair results for change in carrying angles and 7 excellent, 1 good and 1 fair results for motion loss. The average time to bony uinon for this group was 3.7 weeks. Conclusion: In treating completely displaced supracondylar fractures of humerus in children, the closed reduction method and open reduction method all showed good results. But the operation time, duration of hospital stay and time to union was somewhat shorter for the patients treated with closed redution and pinning.

ON PETERSON'S OPEN PROBLEM AND REPRESENTATIONS OF THE GENERAL LINEAR GROUPS

  • Phuc, Dang Vo
    • Journal of the Korean Mathematical Society
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    • v.58 no.3
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    • pp.643-702
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    • 2021
  • Fix ℤ/2 is the prime field of two elements and write 𝒜2 for the mod 2 Steenrod algebra. Denote by GLd := GL(d, ℤ/2) the general linear group of rank d over ℤ/2 and by ${\mathfrak{P}}_d$ the polynomial algebra ℤ/2[x1, x2, …, xd] as a connected unstable 𝒜2-module on d generators of degree one. We study the Peterson "hit problem" of finding the minimal set of 𝒜2-generators for ${\mathfrak{P}}_d$. Equivalently, we need to determine a basis for the ℤ/2-vector space $$Q{\mathfrak{P}}_d:={\mathbb{Z}}/2{\otimes}_{\mathcal{A}_2}\;{\mathfrak{P}}_d{\sim_=}{\mathfrak{P}}_d/{\mathcal{A}}^+_2{\mathfrak{P}}_d$$ in each degree n ≥ 1. Note that this space is a representation of GLd over ℤ/2. The problem for d = 5 is not yet completely solved, and unknown in general. In this work, we give an explicit solution to the hit problem of five variables in the generic degree n = r(2t - 1) + 2ts with r = d = 5, s = 8 and t an arbitrary non-negative integer. An application of this study to the cases t = 0 and t = 1 shows that the Singer algebraic transfer of rank 5 is an isomorphism in the bidegrees (5, 5 + (13.20 - 5)) and (5, 5 + (13.21 - 5)). Moreover, the result when t ≥ 2 was also discussed. Here, the Singer transfer of rank d is a ℤ/2-algebra homomorphism from GLd-coinvariants of certain subspaces of $Q{\mathfrak{P}}_d$ to the cohomology groups of the Steenrod algebra, $Ext^{d,d+*}_{\mathcal{A}_2}$ (ℤ/2, ℤ/2). It is one of the useful tools for studying these mysterious Ext groups.