• 천문학회보
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• 제40권2호
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• pp.48.3-49
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• 2015

Scaling relations of early-type galaxies (ETG) provide a deep insight into their formation and evolution. Interestingly enough, most relations extending into the dwarf regimes display non-linear or broken-linear features, unlike the linear relations for normal (i.e., intermediate-mass to giant) ETGs only. Here we investigate the mass-size scaling relation of ETGs using a massive database of galaxies from SDSS DR12. We divide ETGs into two groups by the indication of star formation such as colors, and examine their distinction along the mass-size relation. We find that the mass-size distribution of blue, young normal galaxies is in good agreement with that of dwarf ETGs. Our result suggests that blue, young normal ETGs may serve as links between (passive) normal ETGs and dwarfs. We discuss the possibility of blue, young ETGs being progenitors of dwarf ETGs.

• Journal of applied mathematics & informatics
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• 제3권2호
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• pp.117-128
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• 1996

Complementation theory in krein spaces can be extended for any self-adjoint transformation. There is a close relation between Julia operators and linear systems. The theory of Julia operators can be used to construct distinct Krein spaces which are the state spaces of extended canonical linear systems with given transfer function.

• 한국지능시스템학회논문지
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• 제18권6호
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• pp.781-786
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• 2008

이 논문에서 우리는 선형결합으로 표현된 여러 가지 주가지수의 관계를 찾아내어 주식의 등락을 예측하는 방법을 제안한다. 제안된 방법에서 중요한 점은 전체 주가지수 중에서 예측하는 지수와 관계가 있는 주가지수들을 선택하는 것과 그 주가지수의 적절한 관계를 찾아내는 것이다. 전체 주가지수와의 관계를 설정하는 것은 불가능하기 때문에 밀접한 관계가 있는 주가지수만을 이용하였고 주가지수의 관계를 찾는 방법으로 유전자 알고리즘(GA : Genetic Algorithm)을 사용하였다. 제안된 방법을 이용하여 2005년부터 2007년도까지의 실제 주가지수를 가지고 모의투자 시뮬레이션을 한 결과 모의 투자금액이 230% 증가하는 것을 확인하였다.

• 한국학교수학회논문집
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• 제12권1호
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• pp.99-114
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• 2009

선형대수는 최근 이공계열 뿐만 아니라 인문 사회 과학 분야에서도 많은 관심을 받고 있다. 그러나 선형대수는 대학의 기초 과목으로 채택된 지 20-30년 밖에 되지 않은 분야로, 선형대수의 지도에 대한 연구는 상대적으로 많지 않은 편이다. 이에 1990년 선형대수 교육과정 연구 단체(The Linear Algebra Curriculum Study Group)가 결성되고, 선형대수 지도를 개선하기 위한 움직임이 다양하게 나타나고 있다. 본 논문에서는 선형대수의 주요 도구 중 하나인 행렬과 관련된 연구들을 살펴보고, 역사발생적 원리를 바탕으로 한 행렬 지도 방법을 제안하고자 한다. 이를 위해 행렬과 행렬식, 연립일차방정식과 행렬, 일차변환의 개념 발달 과정을 분석하고, 역사발생적 관점에서의 행렬 지도 방안을 모색하였다.

• 천문학논총
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• 제30권2호
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• pp.335-339
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• 2015

Using black hole masses which span $10^5-10^{10}M_{\odot}$, the distribution of galaxies in the (host spheroid stellar mass)-(black hole mass) diagram is shown to be strongly bent. While the core-$S{\acute{e}}rsic$ galaxies follow a near-linear relation, having a mean $M_{bh}/M_{sph}$ mass ratio of ~0.5%, the $S{\acute{e}}rsic$ galaxies follow a near-quadratic relation. This is not due to offset pseudobulges, but is instead an expected result arising from the long-known bend in the $M_{sph}{-{\sigma}}$ relation and a log-linear $M_{bh}{-{\sigma}}$ relation.

• East Asian mathematical journal
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• 제18권2호
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• pp.225-233
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• 2002

In this paper, we obtain the common fixed point for fuzzy mappings satisfying an implicit relation. We improve earlier results of this line.

• 제어로봇시스템학회논문지
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• 제13권4호
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• pp.377-384
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• 2007

This paper studies on the relation between linearization methods and controller gains in the looper ILQ(lnverse Linear Quadratic optimal control) system for hot strip finishing mills. Firstly, two linear models arc respectively derived by a linearization method using Taylor's series expansion and a static state feedback linearization method, respectively, and the linear models are compared with the nonlinear model. Secondly, the looper servo controllers are respectively designed on the basis of two linearization models. Finally, the relation between the performances of two ILQ servo controllers and the linearization methods, and the structures and control gains of two controllers are evaluated by a computer simulation.

• 한국국방경영분석학회지
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• 제28권2호
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• pp.34-55
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• 2002

This paper deals with the multiple attribute decision making problem when a decision maker incompletely articulates his/her preferences about the attribute weight and alternative value. Furthermore, we consider the attribute tree which is structured hierarchically. Techniques for establishing dominance with linear partial information are proposed in a hierarchically structured attribute tree. The linear additive value function under certainty is used in the model. The incompletely specified information constructs a feasible region of linear constraints and therefore the pairwise dominance relationship between alternatives leads to intractable non-linear programming. Hence, we propose solution techniques to handle this difficulty. Also, to handle the tree structure, we break down the attribute tree into sub-trees. Due to there cursive structure of the solution technique, the optimization results from sub-trees can be utilized in computing the value interval on the topmost attribute. The value intervals computed by the proposed solution techniques can be used to establishing the pairwise dominance relation between alternatives. In this paper, pairwise dominance relation will be represented as strict dominance and weak dominance, which ware already defined in earlier researches.

• 대한원격탐사학회:학술대회논문집
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• 대한원격탐사학회 1999년도 Proceedings of International Symposium on Remote Sensing
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• pp.177-181
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• 1999

This paper presents an algorithm for building detection from aerial image using segment measure function and line relation. In the detection algorithm proposed, edge detection, linear approximation and line linking are used and then line measure function is applied to each line segment in order to improve the accuracy of linear approximation. Parallelisms, orthogonalities are applied to the extracted liner segments to extract building. The algorithm was applied to aerial image and the buildings were accurately detected.

• East Asian mathematical journal
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• 제38권1호
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• pp.85-94
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• 2022

Recently, an LWE-based commitment scheme is proposed. Their construction is statistically hiding as well as computationally binding. On the other hand, the construction of related zero-knowledge protocols is left as an open problem. In this paper, we present zero-knowledge protocols with hardness based on the LWE problem. we show how to instantiate efficient zero-knowledge protocols that can be used to prove linear and sum relations among these commitments. In addition, we show how the variant of LWE, spLWE problem, can be used to instantiate efficient zero-knowledge protocols.