• Journal of the Korean Society for Industrial and Applied Mathematics
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• 제20권3호
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• pp.225-242
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• 2016

The phase-type representation is strongly connected with the positive realization in positive system. We attempt to transform phase-type representation into sparse mono-cyclic positive representation with as low order as possible. Because equivalent positive representations of a given phase-type distribution are non-unique, it is important to find a simple sparse positive representation with lower order that leads to more effective use in applications. A Hypo-Feedback-Coxian Block (HFCB) representation is a good candidate for a simple sparse representation. Our objective is to find an HFCB representation with possibly lower order, including all the eigenvalues of the original generator. We introduce an efficient nonlinear optimization method for computing an HFCB representation from a given phase-type representation. We discuss numerical problems encountered when finding efficiently a stable solution of the nonlinear constrained optimization problem. Numerical simulations are performed to show the effectiveness of the proposed algorithm.

• Korean Journal of Mathematics
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• 제8권1호
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• pp.33-42
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• 2000

We generalize LePage-type representation of infinitely divisible processes and survey type G processes. Finally, we get integral representation and some inequality of processes of type G.

• 한국통신학회논문지
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• 제34권1C호
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• pp.21-27
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• 2009

지수의 signed digit representation을 사용하여 타입 II 최적정규기저에 의해 결정되는 $GF(2^n)$상의 효율적인 지수승 알고리즘을 제안한다. 제안하는 signed digit representation은 $GF(2^n)$에서 non-adjacent form(NAF)를 사용한다. 일반적으로 signed digit representation은 정규기저가 주어진 경우 사용하기 어렵다. 이는 정규 원소의 역원연산이 상당한 지연시간을 갖기 때문이다. 반면에 signed digit representation은 다항식 기저를 이용한 체에 쉽게 적용가능하다. 하지만 본 논문의 결과는 타입 II 최적정규기저(optimal normal basis, ONB), 라는 특별한 정규 기저가 지수의 signed digit representation을 이용한 효율적인 지수승 연산에 이용될 수 있음을 보인다.

• 아동학회지
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• 제26권6호
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• pp.247-266
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• 2005

Subjects of this study were 621 children selected from 5th and 6th grades of elementary schools in Pusan. Factors associated with parents and peers varied by type of peer maladjustment(aggressive type and withdrawn type, compared with a control group). Particularly, the level of factors associated with peers varied from the control group by peer maladjusted types(aggressive types and, withdrawn types). Causal relationships of parents' rejection, victimization, negative representation by parents and by peers on child？s maladjustment varied by behavior types. Negative representation of peers had a direct effect only on withdrawal. On the other hand, negative representation of peers had no effect on aggression. Victimization had a first total effect on both withdrawal and aggression.

• 인지과학
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• 제11권3_4호
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• pp.73-81
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• 2000

이 연구는 지식유형에 따른 표상 차이를 확인하기 위해서 범주지식과 각본지식의 위계성과 전형성에 대한 점화효과를 측정하였다. 실험 1에서는 상위개념을 점화단어로 제시하고 하위개념을 목표단어로 제시한 다움 목표단어의 어휘판단시간을 측정하였다. 그 결과, 범주지식은 전형단어가 비전형단어보다 반응시간이 빨랐지만, 각본지식은 두 조건간의 차이가 없었다. 실험 2에서는 하위개념을 점화단어로 제시하고 상위개념을 목표단어로 제시한 다음 목표단어의 어위판단시간을 측정하였다. 범주지식이 각본지식보다 반응시간이 빨랐으며, 두 지식 모두 전형성 효과는 관찰되지 않았다. 이러한 결과는 범주지식은 전형성에 따른 위계구조를 구성하지만 각본지식은 범주지식에 비해서 위계성과 전형성이 약회된 구조로 표상될 가능성을 시사하는 것이다.

• 제어로봇시스템학회:학술대회논문집
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• 제어로봇시스템학회 2003년도 ICCAS
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• pp.444-448
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• 2003

In this paper, the Lagrange dynamics is studied. A state space representation of Lagrange dynamics and control algorithm based on the state feedback pole placement are presented. The state space model presented is descriptor type linear parameter dependent system. It is shown that the control algorithms based on the linear system theory can be applicable to the state space representation of Lagrange dynamics. To show that the linear system theory can be applicable to the state space representation of Lagrange dynamics, the LMI based regional pole-placement design algorithm is developed and present two examples.

• 대한수학회보
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• 제52권3호
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• pp.963-975
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• 2015

In this paper, we give a representation formula for an isotropic curve with pseudo arc length parameter and define the structure function of such curves. Using the representation formula and the Frenet formula, the isotropic Bertrand curve and k-type isotropic helices are characterized in the 3-dimensional complex space $\mathbb{C}^3$.

• 충청수학회지
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• 제36권2호
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• pp.77-86
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• 2023

The purpose of this paper is to show that a certain finite dimensional representation of the rational Cherednik algebra of type A has a basis consisting of simultaneous eigenvectors for the actions of a certain family of commuting elements, which are introduced in the author's previous paper. To this end, we introduce a combinatorial object, which is called a restricted arrangement of colored beads, and consider an action of the affine symmetric group on the set of the arrangements.

• 충청수학회지
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• 제10권1호
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• pp.17-22
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• 1997

Let B be the open unit ball in the complex space $\mathbb{C}^n$. A holomorphic function $f:B{\rightarrow}C$ which satisfies sup{(1- ${\parallel}\;{\nabla}_zf\;{\parallel}\;{\mid}z{\in}B$} < $+{\infty}$ is called Bloch type function. In this paper, we will find some integral representation of Bloch type functions.

• 한국실내디자인학회논문집
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• 제16권2호
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• pp.63-70
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• 2007

Analogy in problem solving is similarity-based reasoning facilitated by verbal and visual operation. This similarity-based reasoning generally supports initial phase of idea search. Therefore, this study intends to infer the types of problem solving by tracing the analogy use of verbal and visual representation through a experimental research. According to the result of this research, the types of problem solving by analogy are classified into 'evolving', 'divergent', and 'poor conversion' type. Firstly, 'evolving type' is distinguished between 'combination type' associated different contents to develope a new design and 'transformation type' associated similar words and sketches to be continuously revised and developed. In these types usually structural analogy rather than surface analogy is used. Secondly, in 'divergent type' associated words or sketches are individually represented, and among them one design solution is selected. In this type usually surface analogy is used. Thirdly, in 'poor conversion type' interaction between verbal representation and visual representation does not go on smoothly, and the generation of idea is poor. In here surface analogy is mostly used. These findings could form the basis of skill development of idea generation and conversion in design education.