• Title/Summary/Keyword: decompositions

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The Demographics of galactic bulges in the SDSS database

  • Kim, Keunho;Oh, Sree;Jeong, Hyunjin;Aragon-Salamanca, Alfonso;Smith, Rory;Yi, Sukyoung K.
    • The Bulletin of The Korean Astronomical Society
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    • v.41 no.1
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    • pp.65.2-65.2
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    • 2016
  • We present a new database of our two-dimensional bulge-disk decompositions for 14,482 galaxies drawn from SDSS DR12 in order to examine the properties of bulges residing in the local universe (0.005 < z < 0.05). We performed decompositions in g and r bands by utilizing the GALFIT software. The bulge colors and bulge-to-total ratios are found to be sensitive to the details in the decomposition technique. The g-r colors of bulges derived are almost constantly red regardless of bulge size except for the bulges in the low bulge-to-total ratio galaxies (approximately $B/T_r{\leq}0.3$). Bulges exhibit similar scaling relations to those followed by elliptical galaxies, but the bulges in galaxies with lower bulge-to-total ratios clearly show a gradually larger departure in slope from the elliptical galaxy sequence. The scatters around the scaling relations are also larger for the bulges in galaxies with lower bulge-to-total ratios. Both the departure in slopes and larger scatters are likely originated from the presence of young stars. While bulges seem largely similar in optical properties to elliptical galaxies, they do show clear and systematic departures as a function of bulge-to-total ratio. The stellar properties and perhaps associated formation processes of bulges seem much more diverse than those of elliptical galaxies.

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A Causality Analysis on the Relationship Between National Park Visitor Use and Economic Variables (국립공원 탐방수요와 경제변수간의 인과성 분석)

  • Sim, Kyu-Won;Lee, Ju-Hee
    • Journal of Korean Society of Forest Science
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    • v.99 no.4
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    • pp.573-579
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    • 2010
  • This study was carried out to investigate the relationship between visitor uses of national parks and economic variables, such as the index of industrial product and the consumer price index. The results from the Granger Causality test showed that the index of industrial product and the consumer price index influenced visitor use at national parks. Also the Impulse Response Analysis showed that the index of industrial product and the consumer price index greatly influenced national park visitor use in the short term as well as the long term. The study showed that national park visitor use was mainly influenced by variance decompositions. These results suggested that economic variables could be used to not only forecast the demand for recreation but also establish recreational policies.

Changes in Real Exchange Rate and Business Fluctuations: A Comparative Study of Korea and Japan (실질환율변동의 경기변동효과: 한국과 일본의 비교연구)

  • Kwak, Tae Woon
    • International Area Studies Review
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    • v.13 no.3
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    • pp.309-330
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    • 2009
  • This paper analyzes comparatively the effects of changes in real effective exchange rates on the business fluctuations of the cases of Korea and Japan employing structural vector auto-regression(S-VAR) model which uses quarterly data for the five variables of real effective exchange rates, GDP gap, real interest rates, oil prices, inflation rates for the period of 1980-2006. The paper employes impulse-response analysis and variance decompositions. The paper finds that real exchange rate depreciations are contractionay for the case of Korea while they are expansionary for the case of Japan. These results are consistent with the prevailing empirical results that real exchange rate depreciations are contractionary for developing countries while expansionary for advanced countries.

ON DECOMPOSABLE AND CYCLIC AUTOMATA

  • PARK CHIN HONG;SHIM HONG TAE
    • Journal of applied mathematics & informatics
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    • v.17 no.1_2_3
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    • pp.663-670
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    • 2005
  • In this paper we shall give some decompositions derived from cyclic subautomata or neighborhoods of the automaton. Also we shall discuss some characterizations of cyclic automata when an automaton is maximal cyclic refinement. If m $\in$ M is totally reachable state, we shall see that {$mX^{\ast}$} is minimal.

DECOMPOSITIONS AND EXPANSIONS OF FILTERS IN TARSKI ALGEBRAS

  • Kim, Jaedeok;Kim, Youngmi;Roh, Eun Hwan
    • Journal of the Chungcheong Mathematical Society
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    • v.20 no.4
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    • pp.457-463
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    • 2007
  • We show that any filter of Tarski algebra can be de-composed into the union of some sets. Moreover, we introduce the notion of expansions of filters in Tarski algebras, and discuss the notion of ${\sigma}$-primary filters in Tarski algebras. Finally, we show that there is no non-trivial quadratic Tarski algebras on a field X with $|X|{\geq}3$.

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Variable Selection in Sliced Inverse Regression Using Generalized Eigenvalue Problem with Penalties

  • Park, Chong-Sun
    • Communications for Statistical Applications and Methods
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    • v.14 no.1
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    • pp.215-227
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    • 2007
  • Variable selection algorithm for Sliced Inverse Regression using penalty function is proposed. We noted SIR models can be expressed as generalized eigenvalue decompositions and incorporated penalty functions on them. We found from small simulation that the HARD penalty function seems to be the best in preserving original directions compared with other well-known penalty functions. Also it turned out to be effective in forcing coefficient estimates zero for irrelevant predictors in regression analysis. Results from illustrative examples of simulated and real data sets will be provided.

CERTAIN RADIALLY DILATED CONVOLUTION AND ITS APPLICATION

  • Rhee, Jung-Soo
    • Honam Mathematical Journal
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    • v.32 no.1
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    • pp.101-112
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    • 2010
  • Using some interesting convolution, we find kernels recovering the given function f. By a slight change of this convolution, we obtain an identity filter related to the Fourier series in the discrete time domain. We also introduce some techniques to decompose an impulse into several dilated pieces in the discrete domain. The detail examples deal with specific constructions of those decompositions. Also we obtain localized moving averages from a decomposition of an impulse to make hybrid Bollinger bands, that might give various strategies for stock traders.

CONVEX DECOMPOSITIONS OF REAL PROJECTIVE SURFACES. III : FOR CLOSED OR NONORIENTABLE SURFACES

  • Park, Suh-Young
    • Journal of the Korean Mathematical Society
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    • v.33 no.4
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    • pp.1139-1171
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    • 1996
  • The purpose of our research is to understand geometric and topological aspects of real projective structures on surfaces. A real projective surface is a differentiable surface with an atlas of charts to $RP^2$ such that transition functions are restrictions of projective automorphisms of $RP^2$. Since such an atlas lifts projective geometry on $RP^2$ to the surface locally and consistently, one can study the global projective geometry of surfaces.

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WAVELETS ON THE UNIT INTERVAL WITH BOUNDARY TREATMENT

  • Kim, Dai-Gyoung
    • Communications of the Korean Mathematical Society
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    • v.12 no.2
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    • pp.427-456
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    • 1997
  • This paper concerns constructing wavelet bases on the unit interval, where a new boundary treatment is provided to overcome certain drawbacks of eariler constructions. Wavelet expansions on the unit interval usually suffer from artificial boundary effects and poor convergence at the boundaries. Many researchers have suggested a solution to the drawbacks. From a practical point of view, their solutions also have a common disadvantage. This paper provides a new solution using biorthogonality near the boundaries, that avoids the disadvantage while preserving their advantages.

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Direct sum decompositions of indecomposable injective modules

  • Lee, Sang-Cheol
    • Bulletin of the Korean Mathematical Society
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    • v.35 no.1
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    • pp.33-43
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    • 1998
  • Matlis posed the following question in 1958: if N is a direct summand of a direct sum M of indecomposable injectives, then is N itself a direct sum of indecomposable innjectives\ulcorner It will be proved that the Matlis problem has an affirmative answer when M is a multiplication module, and that a weaker condition then that of M being a multiplication module can be given to module M when M is a countable direct sum of indecomposable injectives.

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