• Title/Summary/Keyword: G-space

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LIFTING T-STRUCTURES AND THEIR DUALS

  • Yoon, Yeon Soo
    • Journal of the Chungcheong Mathematical Society
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    • v.20 no.3
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    • pp.245-259
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    • 2007
  • We define and study a concept of $T^f$-space for a map, which is a generalized one of a T-space, in terms of the Gottlieb set for a map. We show that X is a $T_f$-space if and only if $G({\Sigma}B;A,f,X)=[{\Sigma}B,X]$ for any space B. For a principal fibration $E_k{\rightarrow}X$ induced by $k:X{\rightarrow}X^{\prime}$ from ${\epsilon}:PX^{\prime}{\rightarrow}X^{\prime}$, we obtain a sufficient condition to having a lifting $T^{\bar{f}}$-structure on $E_k$ of a $T^f$-structure on X. Also, we define and study a concept of co-$T^g$-space for a map, which is a dual one of $T^f$-space for a map. We obtain a dual result for a principal cofibration $i_r:X{\rightarrow}C_r$ induced by $r:X^{\prime}{\rightarrow}X$ from ${\iota}:X^{\prime}{\rightarrow}cX^{\prime}$.

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A study on color planning appropriate for residential space (주거공간의 색채 계획에 대한 공간별 비교분석에 관한 연구)

  • Ha, Mi-Kyeong;Shin, Sun-Joo
    • Proceedings of the Korean Institute of Interior Design Conference
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    • 2007.11a
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    • pp.79-83
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    • 2007
  • The demand for residential space is encompassing diverse ranges to keep pace with the times. Due to the Increase in wealth, people today want more functional and physical well being as well as giving more weight to the emotional aspect in spatial planning. This study paid special attention on the psychological effect of color--especially difference of warm/cold temperature--and the individual variation on favorable colors. 1. For a communal space (e.g. living rooms), subjects showed high preference of YR range of colors and warm colors. 2. For an individual space (e.g. bedrooms), subjects showed high preference of GY range of colors and neutral colors. 3. For a sanitary space (e.g. bathrooms), subjects showed high preference of PB and B ranges of colors, and cold colors. 4. For all of the above spaces, subjects showed high preference of warm colors.

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BOCHNER-SCHWARTZ THEOREM ON LOCALLY COMPACT ABELIAN GROUPS

  • Kim, Jin-Man;Cho, Jong-Gyu
    • Bulletin of the Korean Mathematical Society
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    • v.38 no.1
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    • pp.7-16
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    • 2001
  • We study the Fourier transformation on the Gelfand-Bruhat space of type S and characterize this space by means of Fourier transform on a locally compact abelian group G. Also, we extend Bochner-Schwartz theorem to the dual space of the Gelfand-Bruhat space and the space of Fourier hyperfunctions on G. respectively.

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Participation in G-CLEF Preliminary Design Study by KASI

  • Kim, Kang-Min;Chun, Moo-Young;Park, Chan;Park, Sung-Joon;Kim, Jihun;Oh, Jae Sok;Jang, Jeong Gyun;Jang, Bi Ho;Tahk, Gyungmo;Nah, Jakyoung;Yu, Young Sam;Szentgyorgyi, Andrew;Norton, Timothy;Podgorski, William;Evans, Ian;Mueller, Mark;Uomoto, Alan;Crane, Jeffrey;Hare, Tyson
    • The Bulletin of The Korean Astronomical Society
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    • v.40 no.1
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    • pp.52.3-53
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    • 2015
  • The GMT-Consortium Large Earth Finder (G-CLEF) is a fiber-fed, optical band high dispersion echelle spectrograph that selected as the first light instrument for the Giant Magellan Telescope (GMT). This G-CLEF has been designed to be a general- purpose echelle spectrograph with the precisional radial velocity (PRV) capability of 10 cm/sec as a goal. The preliminary design review (PDR) was held on April 8 to 10, 2015 and the scientific observations will be started in 2022 with four mirrors installed on GMT. We have been participating in this preliminary design study in flexure control camera (slit monitoring system), calibration lamp sources, dichroic assembly and the fabrication of the proto-Mangin Mirror. We present the design concept on the parts KASI undertaken, introducing the specifications and capabilities of G-CLEF.

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Opto-Mechanical Detailed Design of the G-CLEF Flexure Control Camera

  • Jae Sok Oh;Chan Park;Kang-Min Kim;Heeyoung Oh;UeeJeong Jeong;Moo-Young Chun;Young Sam Yu;Sungho Lee;Jeong-Gyun Jang;Bi-Ho Jang;Sung-Joon Park;Jihun Kim;Yunjong Kim;Andrew Szentgyorgyi;Stuart McMuldroch;William Podgorski;Ian Evans;Mark Mueller;Alan Uomoto;Jeffrey Crane;Tyson Hare
    • Journal of The Korean Astronomical Society
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    • v.56 no.2
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    • pp.169-185
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    • 2023
  • The GMT-Consortium Large Earth Finder (G-CLEF) is the first instrument for the Giant Magellan Telescope (GMT). G-CLEF is a fiber feed, optical band echelle spectrograph that is capable of extremely precise radial velocity measurement. G-CLEF Flexure Control Camera (FCC) is included as a part in G-CLEF Front End Assembly (GCFEA), which monitors the field images focused on a fiber mirror to control the flexure and the focus errors within GCFEA. FCC consists of an optical bench on which five optical components are installed. The order of the optical train is: a collimator, neutral density filters, a focus analyzer, a reimager and a detector (Andor iKon-L 936 CCD camera). The collimator consists of a triplet lens and receives the beam reflected by a fiber mirror. The neutral density filters make it possible a broad range star brightness as a target or a guide. The focus analyzer is used to measure a focus offset. The reimager focuses the beam from the collimator onto the CCD detector focal plane. The detector module includes a linear translator and a field de-rotator. We performed thermoelastic stress analysis for lenses and their mounts to confirm the physical safety of the lens materials. We also conducted the global structure analysis for various gravitational orientations to verify the image stability requirement during the operation of the telescope and the instrument. In this article, we present the opto-mechanical detailed design of G-CLEF FCC and describe the consequence of the numerical finite element analyses for the design.

GENERALIZED COMPOSITION OPERATORS FROM GENERALIZED WEIGHTED BERGMAN SPACES TO BLOCH TYPE SPACES

  • Zhu, Xiangling
    • Journal of the Korean Mathematical Society
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    • v.46 no.6
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    • pp.1219-1232
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    • 2009
  • Let H(B) denote the space of all holomorphic functions on the unit ball B of $\mathbb{C}^n$. Let $\varphi$ = (${\varphi}_1,{\ldots}{\varphi}_n$) be a holomorphic self-map of B and $g{\in}2$(B) with g(0) = 0. In this paper we study the boundedness and compactness of the generalized composition operator $C_{\varphi}^gf(z)=\int_{0}^{1}{\mathfrak{R}}f(\varphi(tz))g(tz){\frac{dt}{t}}$ from generalized weighted Bergman spaces into Bloch type spaces.

NEW OPTICAL TECHNIQUES FOR THE 'STRUVE' SPACE ASTROMETRIC PROJECT

  • YERSHOV V. N.;TSUKANOVA G. I.;STARICHENKOVA V. D.;ZAKHARENKOV G. F.;GRIAZNOV G. M.
    • Journal of The Korean Astronomical Society
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    • v.29 no.spc1
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    • pp.425-426
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    • 1996
  • A few optical schemes for the future Russian astrometric satellite ('Struve') are discussed. New optical materials and techniques developed at the Vavilov State Optical Institute are planned to be used for the on-board telescopes. Optical characteristics of the reflecting Schmidt and a three - mirror scheme for the on-board telescopes are compared.

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HYPERSURFACES IN A 6-DIMENSIONAL SPHERE

  • Hashimoto, Hideya;Funabashi, Shoichi
    • Journal of the Korean Mathematical Society
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    • v.34 no.1
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    • pp.23-42
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    • 1997
  • A 6-dimensional sphere considered as a homogeneous space $G_2/SU(3)$ where $G_2$ is the group of automorphism of the octonians O. From this representation, we can define an almost comlex structure on a 6-dimensional sphere by making use of the vector cross product of the octonians. Also it is known that a homogeneous space $G_2/U(2)$ coincides with the Grassmann manifold of oriented 2-planes of a 7-dimensional Euclidean space.

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