• Title/Summary/Keyword: Convergence Structure

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NEIGHBORHOOD SPACES AND P-STACK CONVERGENCE SPACES

  • Park, Sang-Ho
    • East Asian mathematical journal
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    • v.21 no.1
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    • pp.27-39
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    • 2005
  • We will define p-stack convergence spaces and show that each neighborhood structure is uniquely determined by p-stack convergence structure. Also, we will show that p-stack convergence spaces are a generalization of neighborhood spaces.

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PRETOPOLOGICAL CONVERGENCE QUOTIENT MAPS

  • Park, Sang-Ho
    • The Pure and Applied Mathematics
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    • v.3 no.1
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    • pp.33-40
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    • 1996
  • A convergence structure defined by Kent [4] is a correspondence between the filters on a given set X and the subsets of X which specifies which filters converge to points of X. This concept is defined to include types of convergence which are more general than that defined by specifying a topology on X. Thus, a convergence structure may be regarded as a generalization of a topology. With a given convergence structure q on a set X, Kent [4] introduced associated convergence structures which are called a topological modification and a pretopological modification. (omitted)

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Maritime Business Cycles with Multiple Structure Changes

  • Kim, Hyunsok
    • Journal of Navigation and Port Research
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    • v.44 no.5
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    • pp.407-413
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    • 2020
  • In this paper we examined a novel extension of the convergence empirics for the maritime business cycle which considers structure breaks and/or changes. To provide theoretical justification, the convergence hypothesis uses the relaxed assumption to technology shocks. Based on the recent empirical results provided by Kim and Chang (2020), we consider nonlinear dynamics that capture the properties on structural changes in the equilibrium adjustment process. This approach bridges the gap between the theoretical framework and empirical specifications. In particular, we applied the convergence hypothesis to the multiple structure change model for the maritime business cycle. Our application to the maritime data showed support of the convergence hypothesis allowing multiple structure changes during the high volatile period and offers additional insight into the forecasting maritime business cycles.

Theoretical Study for the ITO/Si based High Contrast Grating Structure with Focusing Capability and its Fabrication

  • Kim, J.Y.;Yeon, K.H.;Kyhm, J.;Cho, W.J.;Kim, T.J.;Kim, Y.D.;Song, J.D.
    • Applied Science and Convergence Technology
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    • v.24 no.6
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    • pp.250-253
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    • 2015
  • High contrast grating (HCG) is the structure made up of the sub-wavelength grating of high-index and the surrounding layer of low-index, which reveals high contrast between two materials. Its advantages include high reflectivity over a broad bandwidth, polarization and wavelength selectivity, optical high-Q resonator, and phase modulation. In this work, the HCG structure comprising of indium tin oxide (ITO) and Silicon (Si), for the surrounding layer and the grating layer respectively, was studied. Its theoretical model was established, and transmittance, phase and optical behavior were calculated by rigorous coupled-wave analysis and finite element method. Furthermore, the established structure was fabricated to validate its feasibility. The fabricated structure shows the focusing capability whose length is about $10{\mu}m$, and the feasibility of the structure was demonstrated. It is also meaningful that ITO layer can contribute to the fabrication of the HCG structure, leading to enable the structure to be electrical-driven.

FUZZY L-CONVERGENCE SPACE

  • Min, Kyung-Chan
    • Proceedings of the Korean Institute of Intelligent Systems Conference
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    • 1998.06a
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    • pp.95-100
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    • 1998
  • A notion of 'fuzzy' convergence of filters on a set is introduced. We show that the collection of fuzzy L-limit spaces forms a cartesian closed topological category and obtain an interesting relationship between the notions of 'fuzzy' convergence structure and convergence approach spaces.

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RELATIONS BETWEEN DECOMPOSITION SERIES AND TOPOLOGICAL SERIES OF CONVERGENCE SPACES

  • Park, Sang-Ho
    • East Asian mathematical journal
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    • v.22 no.1
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    • pp.79-91
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    • 2006
  • In this paper, we will show some relations between decomposition series {$\pi^{\alpha}q\;:\;{\alpha}$ is an ordinal} and topological series {$\tau_{\alpha}q\;:\;{\alpha}$ is an ordinal} for a convergence structure q and the formular ${\pi}^{\beta}(\tau_{\alpha}q)={\pi}^{{\omega^{\alpha}\beta}}q$, where $\omega$ is the first limit ordinal and $\alpha$ and $\beta({\geq}1)$ are ordinals.

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(L, *, ⊙)-QUASIUNIFORM CONVERGENCE SPACES INDUCED BY OPERATORS

  • Ko, Jung Mi;Kim, Yong Chan
    • The Pure and Applied Mathematics
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    • v.26 no.2
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    • pp.75-84
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    • 2019
  • In this paper, we introduce quasiuniform convergence structure induced by operators on ecl-premonoid (L, ${\ast}$, ${\odot}$). Moreover, we obtain $(L,\;{\ast},\;{\odot})-quasiuniform$ convergence structure induced by two $(L,\;{\ast},\;{\odot})-quasiuniform$ convergence structures and gives their examples.

ON SOME PROPERTIES OF PRETOPOLOGICAL CONVERGENCE STRUCTURES

  • Park, Sang-Ho;Kang, Myeong-Jo
    • East Asian mathematical journal
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    • v.17 no.1
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    • pp.47-56
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    • 2001
  • In this paper we introduce generalized q-interior operator and n-th pretopological modification of q. Furthermore we establish a characterization of ${\pi}_n(q)=\lambda(q)$.

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Constructing Content Producing Group with Creativity under Media Convergence Environments (미디어 융합 환경 하에서 창의적인 콘텐츠 생산그룹의 구성에 관한 연구)

  • Kim, Joong-Gyoo;Lee, Chang-Hoon;Jang, Young-Cheol
    • Journal of Digital Convergence
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    • v.7 no.3
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    • pp.137-146
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    • 2009
  • This paper aims to propose a framework of content creating group with creativity under new convergence environments. The framework is built based on content concept hierarchy(deep/surface) relating with the creativity of group members. The diversity of group members(potential creativity) decrease and change into creative abilities in one unified view at each content concept hierarchy in time. To do this, three methods of building a creative group(interaction-base, direction-base, hybrid) are proposed. Cooperating processes and operators are designed to promote creative abilities in the content producing group. These cooperations are considering new media convergence industry's job road map(IPTV) and fundamental content attributes(semantic, narrative, discourse). In the framework, creative content is produced with the help of member's cultural openness, media richness and synchronicity, hierachical adaptability on dissimilarity. Deep level creativity of cognitive semiotics on moving image content is composed of psychological, transformational, situational creating abilities in the structure of group members. Designing analogy, metaphor, symbol operators help members to traverse deep structure of content concept hierarchy. Our framework has strong points to relate fundamental content deep structure with structure of content producing group and to induce creativity on cognitive structure of human being.

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Transmittance Improvement with Reversed Fishbone-Shape Electrode in Vertical Alignment Liquid Crystal Display

  • Lim, Young Jin;Kim, Hyo Joong;Kim, Min Su;Kim, Gi Heon;Kim, Yong Hae;Lee, Gi-Dong;Lee, Seung Hee
    • Journal of the Optical Society of Korea
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    • v.20 no.6
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    • pp.794-798
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    • 2016
  • A polymer-stabilized vertical alignment (PS-VA) mode with fishbone-shaped pixel electrode structure is mainly used in large-sized liquid crystal displays (LCDs) owing to its advantages such as wide viewing angle, good transmittance and fast response time. One drawback of this mode is a main bone electrode, which crosses in the center of a pixel. It causes the transmittance to decrease badly because LCs cannot be reoriented in this region, and thus, it is particularly unfavorable in an ultra-high-definition LCD. Here, we propose an innovative structure with the main bone electrode relocated to the edge area in a pixel, and investigate how this reverse directed fishbone-shaped pixel electrode structure affects electro-optic characteristics. The proposed structure shows enhanced electro-optic performance, such as the higher transmittance and the faster response time than the conventional VA mode with fishbone-shaped pixel electrode structure.