• Title/Summary/Keyword: $H^p$ space

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IMAGE PROCESSING TECHNIC USING MEDIAN FILTERING FOR COMET (미디안 필터링을 이용한 혜성의 이미지 처리기법)

  • Park, Y.S.;Lee, C.U.;Jin, H.;Park, J.H.;Han, W.Y.
    • Publications of The Korean Astronomical Society
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    • v.22 no.4
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    • pp.183-187
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    • 2007
  • The detection and measurement of faint features in cometary image is generally troublesome due to the high value of the ratio of the brightness of the nucleus to the tail, the large size and low surface brightness of the coma and tail and the disturbing presence of field stars trails. The image processing is based on background removal by median filtering. Sample results are shown for the case study of comet 73P/Schwassmann-Wachmann 3.

ALMOST PERIODIC HOMEOMORPHISMS AND CHAOTIC HOMEOMORPHISMS

  • Lee, Joo Sung
    • Journal of the Chungcheong Mathematical Society
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    • v.20 no.4
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    • pp.477-484
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    • 2007
  • Let h : M ${\rightarrow}$ M be an almost periodic homeomorphism of a compact metric space M onto itself. We prove that h is topologically transitive iff every element of M has a dense orbit. It follows as a corollary that an almost periodic homeomorphism of a compact metric space onto itself can not be chaotic. Some additional related observations on a Cantor set are made.

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UNITARY INTERPOLATION ON AX = Y IN ALG$\mathcal{L}$

  • Kang, Joo-Ho
    • Honam Mathematical Journal
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    • v.31 no.3
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    • pp.421-428
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    • 2009
  • Given operators X and Y acting on a Hilbert space $\mathcal{H}$, an interpolating operator is a bounded operator A such that AX = Y. In this paper, we showed the following : Let $\mathcal{L}$ be a subspace lattice acting on a Hilbert space $\mathcal{H}$ and let $X_i$ and $Y_i$ be operators in B($\mathcal{H}$) for i = 1, 2, ${\cdots}$. Let $P_i$ be the projection onto $\overline{rangeX_i}$ for all i = 1, 2, ${\cdots}$. If $P_kE$ = $EP_k$ for some k in $\mathbb{N}$ and all E in $\mathcal{L}$, then the following are equivalent: (1) $sup\;\{{\frac{{\parallel}E^{\perp}({\sum}^n_{i=1}Y_if_i){\parallel}}{{\parallel}E^{\perp}({\sum}^n_{i=1}Y_if_i){\parallel}}:f{\in}H,n{\in}{\mathbb{N}},E{\in}\mathcal{L}}\}$ < ${\infty}$ range $\overline{rangeY_k}\;=\;\overline{rangeX_k}\;=\;\mathcal{H}$, and < $X_kf,\;X_kg$ >=< $Y_kf,\;Y_kg$ > for some k in $\mathbb{N}$ and for all f and g in $\mathcal{H}$. (2) There exists an operator A in Alg$\mathcal{L}$ such that $AX_i$ = $Y_i$ for i = 1, 2, ${\cdots}$ and AA$^*$ = I = A$^*$A.

TIMES: mapping Turbulent properties In star-forming MolEcular clouds down to the Sonic scale. I. the first result.

  • Yun, Hyeong-Sik;Lee, Jeong-Eun;Choi, Yunhee;Evans, Neal J. II;Offner, Stella S.R.;Lee, Yong-Hee;Baek, Giseon;Choi, Minho;Kang, Hyunwoo;Lee, Seokho;Tatematsu, Ken'ichi;Heyer, Mark H.;Gaches, Brandt A.L.;Yang, Yao-Lun;Jung, Jae Hoon;Lee, Changhoon
    • The Bulletin of The Korean Astronomical Society
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    • v.44 no.1
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    • pp.42.2-42.2
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    • 2019
  • Turbulence is one of the natural phenomena in molecular clouds. It affects gas density and velocity fluctuation within the molecular clouds and controls the mode and tempo of star formation. However, despite many years of study, the properties of turbulence remain poorly understood. As part of the Taeduk Radio Astronomy Observatory (TRAO) Key Science Program (KSP), "mapping Turbulent properties In star-forming MolEcular clouds down to the Sonic scale (TIMES; PI: Jeong-Eun Lee)", we have fully mapped two star-forming molecular clouds, the Orion A and the Ophiuchus molecular clouds, in 3 sets of lines ($^{13}CO$ J=1-0, $C^{18}O$ J=1-0, HCN J=1-0, $HCO^+$ J=1-0, CS J=2-1, and $N_2H^+$ J=1-0) using the TRAO 14-m telescope. We apply a statistical analysis, Principal Component Analysis (PCA), which can recover an underlying turbulent-power spectrum from an observed P-P-V spectral map. We compare turbulence properties not only between the two clouds, but also between different parts within each cloud. We present the first result of our observation program.

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A Study on Optimization of the P-region of 4H-SiC MPS Diode (4H-SiC MPS 다이오드의 P 영역 최적화에 관한 연구)

  • Jung, Se-Woong;Kim, Ki-Hwan;Kim, So-Mang;Park, Sung-Joon;Koo, Sang-Mo
    • Journal of IKEEE
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    • v.20 no.2
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    • pp.181-183
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    • 2016
  • In this work, the merged PiN Schottky(MPS) diodes based silicon carbide(SiC) have been optimized and designed for 1200V diodes by 2D-atlas simulation tool. We investigated the optimized characteristics of SiC MPS diodes such as breakdown voltage and specific on-resistance by varying the doping concentrations of P-Grid/epi-layer and space of P-Grid, which are the most important parameters. The breakdown voltage and specific on-resistance, based on Baliga's Figure Of Merit (BFOM), have been compared with and the SiC-based MPS diodes show improved BFOMs with low values of specific on-resistance and high breakdown voltage. It has been demonstrated 1,200 V SiC MPS diodes will find useful applications in high voltage energy-efficient devices.

On the Restrictions of BMO

  • Kang, Hyeon-Bae;Seo, Jin-Keun;Shim, Yong-Sun
    • Journal of the Korean Mathematical Society
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    • v.31 no.4
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    • pp.703-707
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    • 1994
  • Since John and Nirenberg introduced the BMO in early 1960 [JN], it has been one of the most significant function spaces. The significance of BMO lies in the fact that BMO is a limiting space of $L^p (p \longrightarrow \infty)$, or a proper substitute of $L^\infty$. A dual statement of this would be that the Hardy space $H^1$ is a proper substitute of $L^1$.

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On an N-body exoplanet simulator

  • Chaelin, Hong;van Putten, Maurice H.P.M
    • The Bulletin of The Korean Astronomical Society
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    • v.42 no.2
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    • pp.51.3-51.3
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    • 2017
  • We present a general N-body exoplanet simulator in anticipation of upcoming next generation telescopes. Illustrative examples are presented on P-type orbits in stellar binary stellar systems, that should be fairly common as in Kepler 16AB. Specific attention is paid to reduced orbital lfetimes of exoplanets in the habitable zone by the stellar binary, known from Dvorak (1986).

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