• Title/Summary/Keyword: dual space

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SELF-HOMOTOPY EQUIVALENCES RELATED TO COHOMOTOPY GROUPS

  • Choi, Ho Won;Lee, Kee Young;Oh, Hyung Seok
    • Journal of the Korean Mathematical Society
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    • v.54 no.2
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    • pp.399-415
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    • 2017
  • Given a topological space X and a non-negative integer k, we study the self-homotopy equivalences of X that do not change maps from X to n-sphere $S^n$ homotopically by the composition for all $n{\geq}k$. We denote by ${\varepsilon}^{\sharp}_k(X)$ the set of all homotopy classes of such self-homotopy equivalences. This set is a dual concept of ${\varepsilon}^{\sharp}_k(X)$, which has been studied by several authors. We prove that if X is a finite CW complex, there are at most a finite number of distinguishing homotopy classes ${\varepsilon}^{\sharp}_k(X)$, whereas ${\varepsilon}^{\sharp}_k(X)$ may not be finite. Moreover, we obtain concrete computations of ${\varepsilon}^{\sharp}_k(X)$ to show that the cardinal of ${\varepsilon}^{\sharp}_k(X)$ is finite when X is either a Moore space or co-Moore space by using the self-closeness numbers.

BOUNDED CONVERGENCE THEOREMS

  • Niemiec, Piotr
    • Journal of the Korean Mathematical Society
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    • v.54 no.1
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    • pp.319-357
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    • 2017
  • There are presented certain results on extending continuous linear operators defined on spaces of E-valued continuous functions (defined on a compact Hausdorff space X) to linear operators defined on spaces of E-valued measurable functions in a way such that uniformly bounded sequences of functions that converge pointwise in the weak (or norm) topology of E are sent to sequences that converge in the weak, norm or weak* topology of the target space. As an application, a new description of uniform closures of convex subsets of C(X, E) is given. Also new and strong results on integral representations of continuous linear operators defined on C(X, E) are presented. A new classes of vector measures are introduced and various bounded convergence theorems for them are proved.

Combined GPS/GLONASS Relative Receiver DCB Estimation Using the LSQ Method and Ionospheric TEC Changes over South Korea

  • Choi, Byung-Kyu;Yoon, Ha Su;Lee, Sang Jeong
    • Journal of Positioning, Navigation, and Timing
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    • v.7 no.3
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    • pp.175-181
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    • 2018
  • The use of dual-frequency measurements from the Global Navigation Satellite System (GNSS) enables us to observe precise ionospheric total electron content (TEC). Currently, many GNSS reference stations in South Korea provide both GPS and GLONASS data. In the present study, we estimated the grid-based TEC values and relative receiver differential code biases (DCB) from a GNSS network operated by the Korea Astronomy and Space Science Institute. In addition, we compared the diurnal variations in a TEC time series from solutions of the GPS only, the GLONASS only, and combined GPS/GLONASS processing. A significant difference between the GPS only TEC and combined GPS/GLONASS TEC at a specific grid point over South Korea appeared near the solar terminator. It is noted that GLONASS measurements can contribute to observing a variation in ionospheric TEC over high latitude regions.

A Study on the Hierarchy in Interior Space by Raumplan - Focused on the Relation Between Privacy & Publicity - (라움플란에서 나타난 실내공간의 위계에 관한 연구 - 사성과 공성의 관계형성 방식을 중심으로 -)

  • Seo, Dong-Hyun;Lee, Hyun-Hee
    • Proceedings of the Korean Institute of Interior Design Conference
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    • 2004.11a
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    • pp.108-111
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    • 2004
  • This spatial inclusion in actual housings are realized in the division of cellular space, formation of room through frontality, transition of room through material surface, and the dual-systemizing of circulation into function and formality. This simultaneously establishes the self-sufficiency of individual spaces and the interrelations between volumes, and leads to Raumplan, which is a form of architecture that gradually includes space within space. Though its dichotomous consideration of space. It economizes their use, which answers to the actual request of architecture in the modern era.

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A Broadband W-band Orthomode Transducer for KVN Polarization Observations

  • Chung, Moon-Hee;Je, Do-Heung;Kim, Seung-Rae
    • Journal of Astronomy and Space Sciences
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    • v.30 no.4
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    • pp.345-353
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    • 2013
  • A W-band Orthomode Transducer (OMT) has been developed for Korean VLBI Network (KVN) polarization observation. The OMT design was based on E-plane split-block technique using septum structure. 3-dimensional electromagnetic simulation was fully employed to optimize the performance of the OMT. Measurements of the fabricated OMT show that the return losses for the vertically and horizontally polarized modes are better than -20 dB across 80 ~ 108 GHz and the insertion losses for the both modes are less than 0.47 dB. The cross-polarization level of the OMT is less than -30 dB. The bandwidth of the developed OMT is estimated as around 30%.

Ubiquitous Virtual Reality Framework and Its Application for Fostering Sustainable Content Ecosystem (지속 가능한 콘텐츠 생태계 조성을 위한 유비쿼터스 가상현실 프레임워크 및 응용)

  • Shin, Choon-Sung;Ha, Tae-Jin;Kim, Ki-Young;Lee, Won-Woo;Lee, Young-Ho;Woo, Woon-Tack
    • Journal of the Institute of Electronics Engineers of Korea CI
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    • v.47 no.1
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    • pp.123-134
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    • 2010
  • In this paper we propose ubiquitous virtual reality framework and its application for fostering a sustainable content ecosystem in the convergence space of virtual reality and real space. The ubiquitous virtual reality framework supports fundamental infrastructure which consists of platforms for end-users and service providers and dual space management. The platform for the service provider allows experts to generate contents related to real objects while the platform for the end-users allows to consume, share and regenerate the contents contextually augmented over real objects. The dual space management stores, visualizes and provides the contents generated and extended by them for connecting different users and service providers. The proposed framework allows users to continuously generate, share and extend the contents and thus contribute to making multimedia service environment. We also implemented and evaluated the framework consisting of a desktop authoring platform, mobile authoring platform and a dual space management server. We then introduced a promising application scenario to show how the content ecosystem is empowered by ubiquitous virtual reality framework and is realized in our life. Consequently, we are expecting that the ubiquitous virtual reality technology will play a vital role in building continuously evolving multimedia service environment for the future computing environment.

The Latest Performance of Galileo Kinematic PPP at DAEJ Reference Station in South Korea

  • Choi, Byung-Kyu;Yoo, Sung-Moon;Roh, Kyoung-Min;Park, Pilho;Park, Jong-Uk
    • Journal of Positioning, Navigation, and Timing
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    • v.9 no.1
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    • pp.15-21
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    • 2020
  • In October 2019, the European Galileo navigation system operates a total of 24 satellites, two of them are in the testing phase. There are enough satellites in operation to enable precise point positioning (PPP) using Galileo signals. The number of visible satellites for Galileo in South Korea is investigated. In addition, to assess the latest performance of the Galileo kinematic PPP, data received at DAEJ reference station from October 1 to October 7, 2019, are analyzed. Galileo kinematic PPP presents some results in two categories, single-frequency PPP (SPPP) and dual-frequency PPP (DPPP). The positioning accuracy for Galileo kinematic SPPP solutions is less than 1 m root mean square (RMS) in all direction components. The Galileo kinematic DPPP achieves the positioning accuracy with an RMS value of less than 7 cm in all direction components. The results show that the latest performance of Galileo kinematic PPP at DAEJ station in South Korea is still relatively poor compared to GPS kinematic PPP. However, the residuals of Galileo code measurements are smaller than those of GPS code measurements.

ON A DECOMPOSITION OF MINIMAL COISOMETRIC EXTENSIONS

  • Park, Kun-Wook
    • Communications of the Korean Mathematical Society
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    • v.9 no.4
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    • pp.847-852
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    • 1994
  • Let $H$ be a separable, infinite dimensional, complex Hilbert space and let $L(H)$ be the algebra of all bounded linear operator on $H$. A dual algebra is a subalgebra of $L(H)$ that contains the identity operator $I_H$ and is closed in the ultraweak operator topology on $L(H)$.

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A Note on the Weak* Radon Nikodym Property

  • Yoon, Ju Han
    • Journal of the Chungcheong Mathematical Society
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    • v.3 no.1
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    • pp.121-124
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    • 1990
  • In this paper, we introduce the notion of the compact range property and $weak^*$ Radon Nikodym property. We prove that the compact range property, weak Radon Nikodym property and $weak^*$ Radon Nikodym property in dual Banach space are all equivalent. Other related results and discussed.

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Extract of design concepts for the application of 'Korean characteristics' to Architectural Interior Design (실내건축공간에 '한국성' 적용을 위한 디자인개념 추출)

  • Yoo Young-Heui
    • Korean Institute of Interior Design Journal
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    • v.14 no.5 s.52
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    • pp.44-51
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    • 2005
  • This study focuses 'Korean characteristics' in architectural interior design. In this study, some Korean characteristics was extracted by analysing traditional Korean spaces and as well as by considering the architectural interior spaces which are designed with Korean character since 1970. This paper started with differenciating the elements and principles that consist of space, and then classified the elements into 8 categories such as Spatial system, Enclosure system, Circulation system, Material system, Furnishing system, Light, Color, Context which are analysing frames. As a conclusion, the concepts of Korean characteristics are extracted and suggested as design concept with Korean characteristics by analysing the contents of each category. These concepts were presented with simple diagrams and supporting cases were also presented in this paper. The design concepts of 'Korean characteristics' are classified in the 25 concepts: Holonic composition, Transitional space, Hierarchy by floor level, Gradation of privacy, Changeability, Various central yards, Space with opened edges, Gray space, Continuity of space, Translucent wall, Folding-lifting wall, Skeleton, Abstract facet, Path as a message, Mild light, Multii-layered vista, Fluidity, framed scenery, Serial view, Interpenetrating Space, Harmony with nature, Organic interrelationship, Complementary Dual Structure, Temporal change of space, Hierarchical order.