• 제목/요약/키워드: space extension

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The Cauchy Representation of Integrable and Tempered Boehmians

  • Loonker, Deshna;Banerji, Pradeep Kumar
    • Kyungpook Mathematical Journal
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    • 제47권4호
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    • pp.481-493
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    • 2007
  • This paper deals with, by employing the relation between Cauchy representation and the Fourier transform and properties of the former in $L_1$-space, the investigation of the Cauchy representation of integrable Boehmians as a natural extension of tempered distributions, we have investigated Cauchy representation of tempered Boehmians. An inversion formula is also proved.

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INTUITIONISTIC FUZZY MINIMAL SPACES

  • Min, Won-Keun
    • 한국수학교육학회지시리즈B:순수및응용수학
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    • 제16권3호
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    • pp.259-269
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    • 2009
  • We introduce the concept of intuitionistic fuzzy minimal structure which is an extension of the intuitionistic fuzzy topological space. And we introduce and study the concepts of intuitionistic fuzzy M -continuity, intuitionistic fuzzy Mopen mappings and several types of intuitionistic fuzzy minimal compactness on intuitionistic fuzzy minimal spaces.

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EXISTENCE OF EXTREMAL SOLUTIONS FOR FUZZY DIFFERENTIAL EQUATIONS DRIVEN BY LIU PROCESS

  • KWUN, YOUNG CHEL;KIM, JEONG SOON;PARK, YOUNG IL;PARK, JIN HAN
    • Journal of applied mathematics & informatics
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    • 제39권3_4호
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    • pp.507-527
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    • 2021
  • In this paper, we study existence of extremal solutions for fuzzy differential equations driven by Liu process. To show extremal solutions, we define partial ordering relative to fuzzy process. This is an extension of the results of Kwun et al. [5] and Rodríguez-López [13] to fuzzy differential equations in credibility space.

EXTENDING AND LIFTING OPERATORS ON BANACH SPACES

  • Kang, JeongHeung
    • Korean Journal of Mathematics
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    • 제27권3호
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    • pp.645-655
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    • 2019
  • In this article, we show that the nuclear operator defined on Banach space has an extending and lifting operator. Also we give new proofs of the well known facts which were given $Pelcz{\acute{y}}nski$ theorem for complemented subspaces of ${\ell}_1$ and Lewis and Stegall's theorem for complemented subspaces of $L_1({\mu})$.

The Verandah: Hong Kong's Contribution to a Southeast Asian and China-coast Urban Design

  • Faure, David
    • Journal of East-Asian Urban History
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    • 제3권1호
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    • pp.139-160
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    • 2021
  • The verandah was a common feature of Chinese multi-storeyed houses in Southeast Asia and China. This paper argues that while an earlier version of a narrow walkway might have had its origin in Singapore, the building of an extension on the upper floors encroaching the airspace over the road skirting the building was an arrangement allowed by the colonial Hong Kong government in compensation to landlords for space devoted to ventilation. As the introduction of reinforced concrete allowed buildings to become taller, the more attractive it was to developers to incorporate the verandah design.

REDUCTION OF ABELIAN VARIETIES AND CURVES

  • Moshe Jarden;Aharon Razon
    • 대한수학회지
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    • 제61권3호
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    • pp.515-545
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    • 2024
  • Consider a Noetherian domain R0 with quotient field K0. Let K be a finitely generated regular transcendental field extension of K0. We construct a Noetherian domain R with Quot(R) = K that contains R0 and embed Spec(R0) into Spec(R). Then, we prove that key properties of abelian varieties and smooth geometrically integral projective curves over K are preserved under reduction modulo p for "almost all" p ∈ Spec(R0).

드 스틸의 조형적 건축, 그 유토피안 비전 (The 'Plastic Architecture' of De Stijl, Its Utopian Vision)

  • 윤난지
    • 미술이론과 현장
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    • 제9호
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    • pp.151-170
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    • 2010
  • As an art group, De Stijl (1917-1931) led a total art movement encompassing painting, sculpture, design, and architecture. Among these, architecture, as a model of the total art pursued by the group, was encapsulated by the term 'plastic architecture.' The term reflects architecture's shared features with plastic art, especially its pictorial characteristics. Firstly, De Stijl architecture shares geometric form with painting. Assembled in simple, clear and rational structures, the geometric forms signified universal forms, and extended the pictorial experimentation that Mondrian exercised through Neo-Plasticism to architecture. Constructed with colour fields made of concrete wall, De Stijl architecture is geometric abstract painting embodied in space. Together with such pictorial characteristics, large plate glass windows, narrow window frames, and cantilever structure minimize the building's visual weight. De Stijl architecture, which appears suspended in the air, is an architectural version of the abstract paintings of the era that revealed unknown spaces beyond perspective. De Stijl architecture is also an 'open' architecture, where the units placed as if radiating from the center form relations with each other flexibly and organically. The observer in such a space is encouraged to experience space within time, as his/her physical and visual mobility and extension are maximized. De Stijl architecture is an example of how the time-space continuum, represented within picture frame through Cubism, Futurism, and abstract art, can be realized in space. By transforming the ideal space of painting into real space in this way, 'plastic architecture' turned out to be an architectural manifestation of the utopianism of the era, aimed at building a society in 'perfect harmony.' However, such rationalism and universalism are not free from the violence of totalization that deletes various differences. This is evident in the history that followed as the geometric form of architecture and urban planning proliferated across the globe, engulfing the diverse natural landscapes and local cultures.

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CoSpace: 효과적인 협업 작업을 지원하는 윈도우즈 웹데브 클라이언트 (CoSace: A Windows WebDAV Client Supporting Effective Collaborative Works)

  • 이홍창;박진호;이명준
    • 한국컴퓨터정보학회논문지
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    • 제14권2호
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    • pp.79-89
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    • 2009
  • 웹데브는 비동기적인 협업 저작을 지원하는 IETF의 표준 프로토콜로서 다양한 콘텐츠의 저작과 관리를 지원하기 위한 웹 기반의 하부구조를 제공한다. CoSlide는 웹데브 프로토콜을 통하여 다양한 작업공간과 협업서비스를 제공하는 서버로서 Jakarta Slide를 확장하여 개발되었다. CoSlide 서버는 다양한 사용자의 정보 저장 및 공유를 위한 작업공간을 지원하며 자원의 효과적인 공동저작을 위한 환경을 제공한다. 실제적인 협업 활동은 CoSlide 서버에서 제공하는 협업서비스들을 활용하여 협업 수행기능을 제공하는 협업 클라이언트를 통하여 이루어진다. 본 논문은 CoSlide서버와 함께 동작하여 효과적인 협업 환경을 제공하는 CoSpace협업시스템 클라이언트의 개발에 대하여 기술한다. CoSpace는 CoSlide서버에서 제공하는 다양한 작업공간에 접근하기 위한 인터페이스를 제공하며 작업공간의 자원을 제어할 수 있는 기능을 제공한다. 특별히 자원의 공동저작을 위한 저작도구 자동연결 자동 잠금 처리 드래그앤드랍을 이용한 자원 이동 등의 향상된 자원 제어기능을 제공한다.

리트벨트 작품의 공간표현 형식에 관한 연구 - 몽드리앙 작품과의 비교를 중심으로 - (A Study on the form of spatial expression shown in Rietveld's works - Focused on comparing with Mondrian's works -)

  • 박영경
    • 한국실내디자인학회논문집
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    • 제40호
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    • pp.68-75
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    • 2003
  • The purpose of this study is to find out the expression style of space in Rietveld's early works in comparison with Mondrian's paintings. Through investigating the development of their works and analyzing the composition and disposition type of elements such as point, line, plane, color in the selected works, we can draw the following conclusions. .First, Rietveld pursues the dissolution of traditional volume and the de-composition of elements as Mondrian does. Second, the painterly property of plane is emphasized by the projection of separately floating elements on the picture plane. Third, the separating the layer of lines from the layer of planes and the re-combination of these two layers present the superimpositional image of three-dimensional objects. This leads into new conception of architectural space and develops the transparency and the extension of plan in modem architecture.

Comparison of Alternate Approaches for Reversible Geminate Recombination

  • Khokhlova, Svetlana S.;Agmon, Noam
    • Bulletin of the Korean Chemical Society
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    • 제33권3호
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    • pp.1020-1028
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    • 2012
  • This work compares various models for geminate reversible diffusion influenced reactions. The commonly utilized contact reactivity model (an extension of the Collins-Kimball radiation boundary condition) is augmented here by a volume reactivity model, which extends the celebrated Feynman-Kac equation for irreversible depletion within a reaction sphere. We obtain the exact analytic solution in Laplace space for an initially bound pair, which can dissociate, diffuse or undergo "sticky" recombination. We show that the same expression for the binding probability holds also for "mixed" reaction products. Two different derivations are pursued, yielding seemingly different expressions, which nevertheless coincide numerically. These binding probabilities and their Laplace transforms are compared graphically with those from the contact reactivity model and a previously suggested coarse grained approximation. Mathematically, all these Laplace transforms conform to a single generic equation, in which different reactionless Green's functions, g(s), are incorporated. In most of parameter space the sensitivity to g(s) is not large, so that the binding probabilities for the volume and contact reactivity models are rather similar.