• Title/Summary/Keyword: $R_1$-space

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Development of state-of-the-art detectors for X-ray astronomy

  • Lee, Sang Jun;Adams, J.S.;Audley, H.E.;Bandler, S.R.;Betancourt-Martinez, G.L.;Chervenak, J.A.;Eckart, M.E.;Finkbeiner, F.M.;Kelley, R.L.;Kilbourne, C.A.;Porter, F.S.;Sadleir, J.E.;Smith, S.J.;Wassell, E.J.
    • The Bulletin of The Korean Astronomical Society
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    • v.40 no.1
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    • pp.53.3-54
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    • 2015
  • We are developing large arrays of X-ray microcalorimeters for applications in X-ray astronomy. X-ray microcalorimeters can detect the energy of X-rays with extremely high resolution. High-resolution Imaging spectroscopy enabled by these arrays will allow us to study the hot and energetic nature of the Universe through the detection of X-rays from astronomical objects such as neutron stars or black holes. I will introduce the state-of-the-art X-ray microcalorimeters being developed at NASA/GSFC and the future X-ray observatory missions based on microcalorimeters.

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The Change of Space Arrangement of Korea Detached House by Space Syntax - A Focusing on the Detached Houses which were Designed by Famous Architects after 1980s' - (공간구문론을 이용한 단독주택 공간배치 변화 - 1980년 이후 단독주택 중 유명건축가의 작품과 수상작품을 중심으로 -)

  • Hwang, Yong-Woon
    • Korean Institute of Interior Design Journal
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    • v.26 no.3
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    • pp.63-70
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    • 2017
  • The purpose of this study is to analyze the inner space of detached houses from 1980 to 2016. It was used 'space syntax program' for analysis and analyzed with intervals of 10 years as 1980~1990, 1990~2000 and so on. The research results will be summarized as follows: 1) Overall, all inner space that was examined shows a trend that integration space tends to increase while segregating space tends to decrease. 2) In the case of the master bedrooms(M B) in 1980s, these were composed of 2 rooms as a front room(F R) and a master bedroom type, but as time went by, the F R which was attached room to the M B disappeared. While inside space of M B attached powder-room and wardrobe instead of the F R of the M B. And F R was an integrated space at first in 1980s, but it began to change to a segregating space to protect personal privacy. 3) The dining(D) and kitchen(K) spaces were strictly separated in the 1980s but began to change to D+K and L+D+K types after 1990. 4) In the 2000s, the most typical living space in every house is continuing to change from an separate space in the other space to an integrated space where it is clearly seen from the kitchen and the dining room in the types as L+D and L+D+K.

Ionospheric TEC Monitoring over Jeju Island using the Chinese BeiDou Satellite Navigation System

  • Choi, Byung-Kyu;Lee, Woo Kyoung;Sohn, Dong-Hyo;Yoo, Sung-Moon;Roh, Kyoung-Min;Joo, Jung-Min;Heo, Moon Beom
    • Journal of Positioning, Navigation, and Timing
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    • v.9 no.1
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    • pp.1-6
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    • 2020
  • The Chinese BeiDou Satellite Navigation System consists of three kinds of constellations: the geostationary Earth orbit (GEO), the inclined geosynchronous satellite orbit (IGSO), and the medium Earth orbit (MEO). The BeiDou has expanded its service coverage from regional to global. Recently, the BeiDou has been widely used in ionospheric total electron content (TEC) research. In this study, we analyzed the BeiDou signals for ionospheric TEC monitoring over Jeju Island in South Korea. The BeiDou GEO TEC showed a clear pattern of diurnal variations. In addition, we compared the TEC values from the BeiDou GEO, the BeiDou IGSO, GPS, and International GNSS Service (IGS) Global Ionosphere Maps (GIM). There was a difference of about 5 TEC units between the BeiDou GEO and the IGS GIM. This may be due to the altitude difference between the different navigation satellites.

IRREDUCIBILITY OF THE MODULI SPACE FOR THE QUOTIENT SINGULARITY $\frac{1}{2k+1}(k+1,1,2k)$

  • Seung-Jo, Jung
    • Bulletin of the Korean Mathematical Society
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    • v.59 no.6
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    • pp.1409-1422
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    • 2022
  • A 3-fold quotient terminal singularity is of the type $\frac{1}{r}(b,1,-1)$ with gcd(r, b) = 1. In [6], it is proved that the economic resolution of a 3-fold terminal quotient singularity is isomorphic to a distinguished component of a moduli space 𝓜𝜃 of 𝜃-stable G-constellations for a suitable 𝜃. This paper proves that each connected component of the moduli space 𝓜𝜃 has a torus fixed point and classifies all torus fixed points on 𝓜𝜃. By product, we show that for $\frac{1}{2k+1}(k+1,1,-1)$ case the moduli space 𝓜𝜃 is irreducible.

GENERALIZED (C, r)-HANKEL OPERATOR AND (R, r)-HANKEL OPERATOR ON GENERAL HILBERT SPACES

  • Jyoti Bhola;Bhawna Gupta
    • Communications of the Korean Mathematical Society
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    • v.38 no.3
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    • pp.821-835
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    • 2023
  • Hankel operators and their variants have abundant applications in numerous fields. For a non-zero complex number r, the r-Hankel operators on a Hilbert space 𝓗 define a class of one such variant. This article introduces and explores some properties of two other variants of Hankel operators namely kth-order (C, r)-Hankel operators and kth-order (R, r)-Hankel operators (k ≥ 2) which are closely related to r-Hankel operators in such a way that a kth-order (C, r)-Hankel matrix is formed from rk-Hankel matrix on deleting every consecutive (k - 1) columns after the first column and a kth-order (R, rk)-Hankel matrix is formed from r-Hankel matrix if after the first column, every consecutive (k - 1) columns are deleted. For |r| ≠ 1, the characterizations for the boundedness of these operators are also completely investigated. Finally, an appropriate approach is also presented to extend these matrices to two-way infinite matrices.

Structural Dynamic Characteristics of Modular Deployable Reflectors and Booms for the Large Mesh Antennas (대형 메쉬 안테나 개발을 위한 모듈식 반사판 및 붐 구조의 동적 특성 분석)

  • Roh, Jin-Ho;Jung, Hwa-Young;Kang, Deok-Soo;Kim, Ki-Seung;Yun, Ji-Hyeon
    • Journal of the Korean Society for Aeronautical & Space Sciences
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    • v.50 no.10
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    • pp.691-699
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    • 2022
  • Large aperture antennas with long focal lengths in space have important application for telecommunications, Earth observation and science missions. This paper aims to understand the dynamics of deployment of large mesh antennas and to provide a multibody model for determining the driving forces for the design of reflectors and booms. The modular deployable reflector and boom are designed based on the deployment unit cell. A multibody dynamic model is formulated with Kane's equation and simulated using the pseudo upper triangular decomposition (PUTD) method for solving the constrained problem. Based on the multibody dynamic model, the kinetics of the deployment, the motor driving forces, and the structural dynamic deformation are investigated.

STRUCTURE JACOBI OPERATORS OF SEMI-INVARINAT SUBMANIFOLDS IN A COMPLEX SPACE FORM II

  • Ki, U-Hang;Kim, Soo Jin
    • East Asian mathematical journal
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    • v.38 no.1
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    • pp.43-63
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    • 2022
  • Let M be a semi-invariant submanifold of codimension 3 with almost contact metric structure (φ, ξ, η, g) in a complex space form Mn+1(c). We denote by Rξ the structure Jacobi operator with respect to the structure vector field ξ and by ${\bar{r}}$ the scalar curvature of M. Suppose that Rξ is φ∇ξξ-parallel and at the same time the third fundamental form t satisfies dt(X, Y) = 2θg(φX, Y) for a scalar θ(≠ 2c) and any vector fields X and Y on M. In this paper, we prove that if it satisfies Rξφ = φRξ, then M is a Hopf hypersurface of type (A) in Mn+1(c) provided that ${\bar{r}-2(n-1)c}$ ≤ 0.

LOCI OF RATIONAL CURVES OF SMALL DEGREE ON THE MODULI SPACE OF VECTOR BUNDLES

  • Choe, In-Song
    • Bulletin of the Korean Mathematical Society
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    • v.48 no.2
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    • pp.377-386
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    • 2011
  • For a smooth algebraic curve C of genus g $\geq$ 4, let $SU_C$(r, d) be the moduli space of semistable bundles of rank r $\geq$ 2 over C with fixed determinant of degree d. When (r,d) = 1, it is known that $SU_C$(r, d) is a smooth Fano variety of Picard number 1, whose rational curves passing through a general point have degree $\geq$ r with respect to the ampl generator of Pic($SU_C$(r, d)). In this paper, we study the locus swept out by the rational curves on $SU_C$(r, d) of degree < r. As a by-product, we present another proof of Torelli theorem on $SU_C$(r, d).

Close Relationship in Color Between Host and Satellite Galaxies in WHL 085910.0+294957, a Galaxy Cluster at z = 0.30

  • Lee, Joon Hyeop;Lee, Hye-Ran;Kim, Minjin;Seon, Kwang-Il;Ree, Chang Hee;Kim, Sang Chul;Lee, Jong Chul;Jeong, Hyunjin;Ko, Jongwan;Yang, Soung-Chul;Choi, Changsu
    • The Bulletin of The Korean Astronomical Society
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    • v.38 no.2
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    • pp.41.1-41.1
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    • 2013
  • To test whether the close relationships between host and satellite galaxies in isolated groups are also found in the harsh environment of a galaxy cluster, we carry out a case study of WHL 085910.0+294957, a galaxy cluster at z=0.30, using deep images obtained with the 2.1-m Otto Struve telescope and CQUEAN CCD camera. When environmental parameters are controlled, the local weighted mean color of faint galaxies shows a measurable correlation with the color of their bright ($M_i$ < -18) neighbor. The most striking result is that the red (r - i > 0.2) and bright galaxies within 200 kpc distance from the center of the cluster are correlated in color with very faint ($M_i$ > -14) galaxies around them by $(r-i)_{satellites}=(7.276{\pm}1.402){\times}(r-i)_{host}-2.434$ (correlation coefficient = 0.665). We suggest three scenarios to interpret the results: vestiges of infallen groups, dwarf capturing, and tidal tearing of bright galaxies.

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