• Title/Summary/Keyword: Property of Space

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Weak Baire Spaces

  • Renukadevi, V.;Muthulakshmi, T.
    • Kyungpook Mathematical Journal
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    • v.55 no.1
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    • pp.181-189
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    • 2015
  • In this paper, we study Baire property of a family of spaces which contains properly the family of all topological spaces and generalize the existing results. Also, we study the images and inverse images of such spaces.

A study on the biorthogonally coded Q$^{2}$AM with constant envelope property (정진폭특성을 갖는 Birothogonal 부호로 부호화된 Q$^{2}$AM(Quadrature Quadrature Amplitude Modulation)에 관한 연구)

  • 박인재;심수보
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.21 no.9
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    • pp.2470-2480
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    • 1996
  • The energy efficiency and bandwidth efficiency are two important criterion in designing a modulation scheme Especially the constant envelope property must be considered as in the non-linear channel tht exit, for example in the nonlinear amplifiers for satellite repeater. The Q$^{2}$AM(Quadrature Quadrature Amplitude Modulation) is a new modulation scheme which combines the Q$^{2}$PSK(Quadrature Quadrature Phase Shift Keying) scheme which increases the signal space dimension and the QAM scheme which increases the bandwidth efficiency using the multi-level signal. The Q$^{2}$AM scheme has by far superior spectrum efficiency compared with the existing modulation schemes. Applying this scheme in the non-linear communication system increses the bandwidth efficiency but cannot envelop property. In this paper, a new system architecture is suggested which satisfies the large spectrum efficiency and constant envelope property by implementing the linear block coding prior to the Q$^{2}$AM modulation. the system has improved in performance by gaining the constant envelope and the additional coding gain. We able to observe the performance improvement of the suggested system(at BER=10$^{-5}$ ) of 4.4 dB for the 16-QAM and 0.7 dB for the Q$^{2}$PSK under the exact spectrum efficiency.

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A Study on Simulation tracking analysis for Spatial configuration analysis (공간구조분석을 위한 시뮬레이션 추적 분석에 관한 연구)

  • Park, Jong-Hyun;Lee, Jong-Ruyl
    • Journal of The Korean Digital Architecture Interior Association
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    • v.9 no.3
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    • pp.95-102
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    • 2009
  • An architectural space can be considered a life form that interconnects a number of architectural elements such as the humans who live in it. It is difficult to understand and evaluate the complexity of the interrelation between each element, but there have been various attempts to understand and evaluate this architectural space. The Space Syntax that emerged in 1980s has been studied and used more frequently than other methods. Space Syntax is the space analysis tool that analyzes the physical structure of space and represents it as a graph. Space syntax enables its various applications in space analysis by quantifying each spatial property of a whole structure, analyzing it systemically and objectively based on mathematical logic, and representing the results as a quantitative value. Integration of Space Syntax, a widely used index, reflects human behavior in spatial configuration. Meanwhile, there have been various studies in the field of architectural environmental psychology about the relationships between space and human behavior by applying behavioral science to architectural plan. One of the most widely used one is spatial behavior simulation which uses models and simulates the behavioral characteristics to anticipate practical situations and investigate the behavior related spatial problems. In this study, which focuses on the accessibility of the space syntax model, the usefulness of space will be analyzed through the simulation of human behavior that moves through each space. Furthermore, the validity of index will be verified by displaying several examples and compared with integration in space syntax, which represents the usefulness of space.

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A Property of Borel Subsets of Wiener Space

  • Ryu, K.S.
    • Journal of the Chungcheong Mathematical Society
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    • v.4 no.1
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    • pp.45-48
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    • 1991
  • Wiener measure $m({\lambda}B)$ can behave arbitrarily badly as a function of ${\lambda}$ for Wiener measurable sets B. We show however that $m({\lambda}B)$ is Borel measurable with respect to ${\lambda}$ for any Borel subset B of $C_0$[0, 1].

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A SIMPLE ALGEBRA GENERATED BY INFINITE ISOMETRIES AND REPRESENTATIONS

  • Jeong, Eui-Chai
    • Communications of the Korean Mathematical Society
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    • v.14 no.1
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    • pp.157-169
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    • 1999
  • We consider the C\ulcorner-algebra O\ulcorner generated by infinite isometries \ulcorner,\ulcorner, …on Hilbert spaces with the property \ulcorner \ulcorner$\leq$1 for every n$\in$N. We present certain type of representations of C\ulcorner-algerbra O\ulcorner on a separable Hilbert space and study the conditions for irreducibility of these representations.

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ON THE MODERATE DEVIATION TYPE FOR RANDOM AMOUNT OF SOME RANDOM MEASURES

  • Hwang, Dae Sik
    • Journal of the Chungcheong Mathematical Society
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    • v.13 no.2
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    • pp.19-27
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    • 2001
  • In this paper we study another kind of the large deviation property, i.e. moderate deviation type for random amount of random measures on $R^d$ about a Poisson point process and a Poisson center cluster random measure.

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FIXED POINTS OF NONEXPANSIVE MAPS ON LOCALLY CONVEX SPACES

  • Ling, Joseph M.
    • Bulletin of the Korean Mathematical Society
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    • v.37 no.1
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    • pp.21-36
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    • 2000
  • In this article we study the relation between subinvariant submean and normal structure in a locally convex topological vector space. This extends in a natural way a result obtained recently by Lau and Takahashi. Our approach also follows closely theirs.

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