• Title/Summary/Keyword: Compact

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ON SPACES OF WEAK* TO WEAK CONTINUOUS COMPACT OPERATORS

  • Kim, Ju Myung
    • Bulletin of the Korean Mathematical Society
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    • v.50 no.1
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    • pp.161-173
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    • 2013
  • This paper is concerned with the space $\mathcal{K}_{w^*}(X^*,Y)$ of $weak^*$ to weak continuous compact operators from the dual space $X^*$ of a Banach space X to a Banach space Y. We show that if $X^*$ or $Y^*$ has the Radon-Nikod$\acute{y}$m property, $\mathcal{C}$ is a convex subset of $\mathcal{K}_{w^*}(X^*,Y)$ with $0{\in}\mathcal{C}$ and T is a bounded linear operator from $X^*$ into Y, then $T{\in}\bar{\mathcal{C}}^{{\tau}_{\mathcal{c}}}$ if and only if $T{\in}\bar{\{S{\in}\mathcal{C}:{\parallel}S{\parallel}{\leq}{\parallel}T{\parallel}\}}^{{\tau}_{\mathcal{c}}}$, where ${\tau}_{\mathcal{c}}$ is the topology of uniform convergence on each compact subset of X, moreover, if $T{\in}\mathcal{K}_{w^*}(X^*, Y)$, here $\mathcal{C}$ need not to contain 0, then $T{\in}\bar{\mathcal{C}}^{{\tau}_{\mathcal{c}}}$ if and only if $T{\in}\bar{\mathcal{C}}$ in the topology of the operator norm. Some properties of $\mathcal{K}_{w^*}(X^*,Y)$ are presented.

A Case Study of Space Utilization on Compact Houses in Japan to build Compact-but-effective Houses in Korea (강소주택 실효성 논의를 위한 일본 소형주택 공간 활용 사례 분석)

  • Seo, Min-Woo;Han, Young-Ho
    • Korean Institute of Interior Design Journal
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    • v.21 no.1
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    • pp.148-158
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    • 2012
  • The objective of this study is to find a possible application of small space utilization of GangSo Housing, so called compact-but-effective housing, through analyzing that of Japanese small housing. We analyze openness of view and flexibility of spaces divided by the physical and architectural aspects as first component and the psychological and interior space aspects as second component. The results showed that Japanese small houses have various unit plan compared to uniformity of Korean houses. Openness of view in Japanese small housing is accomplished by letting in light from the outside using position and shape of the window, looking more spacious using courtyard, void spaces, or sliding door hanging from the ceiling, and creating deception of view using floor-wall plan and appropriate materials. Flexibility of spaces is achieved by combination of first and second components, multipurpose of space and furniture, and variety of storage methods. It is necessary to improve spatial efficiency with consideration of volume-metric planing rather than flat-plane and develop various unit plans to meet residents' needs and demands on compact-but-effective houses.

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Reconstitution of Compact Binary trie for the Efficient Retrieval of Hangul UniCODE Text (한글 유니코드 텍스트의 효율적인 탐색을 위한 컴팩트 바이너리 트라이의 재구성)

  • Jung, Kyu Cheol;Lee, Jong Chan;Park, Sang Joon;Kim, Byung Gi
    • Journal of Korea Society of Digital Industry and Information Management
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    • v.5 no.2
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    • pp.21-28
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    • 2009
  • This paper proposes RCBT(Reduced Compact Binary trie) to correct faults of CBT (Compact Binary trie). First, in the case of CBT, a compact structure was tried for the first time, but as the amount of data was increasing, that of inputted data gained and much difficulty was experienced in insertion due to the dummy nodes used in balancing trees. On the other hand, if the HCBT realized hierarchically, given certain depth to prevent the map from increasing onthe right, reached the depth, the method for making new trees and connecting to them was used. Eventually, fast progress could be made in the inputting and searching speed, but this had a disadvantage of the storage space becoming bigger because of the use of dummy nods like CBT and of many tree links. In the case of RCBT in this thesis, a capacity is increased by about 60% by completely cutting down dummy nods.

Development of 2D Depth-Integrated Hydrodynamic and Transport Model Using a Compact Finite Volume Method (Compact Finite Volume Method를 이용한 수심적분형 흐름 및 이송-확산 모형 개발)

  • Kim, Dae-Hong
    • Journal of Korea Water Resources Association
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    • v.45 no.5
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    • pp.473-480
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    • 2012
  • A two-dimensional depth-integrated hydrodynamic and a depth-averaged passive scalar transport models were developed by using a Compact Finite Volume Method (CFVM) which can assure a higher order accuracy. A typical wave current interaction experimental data set was compared with the computed results by the proposed CFVM model, and resonable agreements were observed from the comparisons. One and two dimensional scalar advection tests were conducted, and very close agreements were observed with very little numerical diffusion. Finally, a turbulent mixing simulation was done in an open channel flow, and a reasonable similarity with LES data was observed.