• Kyungpook Mathematical Journal
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• 제57권4호
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• pp.601-612
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• 2017

Let Q be the frame g-loop quiver, i.e. a generalized ADHM quiver obtained by replacing the two loops into g loops. The vector space M of representations of Q admits an involution ${\ast}$ if orthogonal and symplectic structures on the representation spaces are endowed. We prove equivalence between semisimplicity of representations of the ${\ast}-invariant$ subspace N of M and the orbit-closedness with respect to the natural adjoint action on N. We also explain this equivalence in terms of King's stability [8] and orthogonal decomposition of representations.

• 대한수학회논문집
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• 제11권2호
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• pp.471-480
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• 1996

Consider a strong Markov process $X^0$ that has continuous sample paths in the closed cone $\bar{G}$ in $R^d(d \geq 3)$ such that the process behaves like a ordinary Brownian motion in the interior of the cone, reflects instantaneously from the boundary of the cone and is absorbed at the vertex of the cone. It is shown that $X^0(t)$ has a representation $R(t) \ominus (t)$ where $R(t) \in [0, \infty)$ and $\ominus(t) \in S^{d-1}$, the surface of the unit ball.

• 한국수학교육학회지시리즈B:순수및응용수학
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• 제23권4호
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• pp.377-383
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• 2016

The set of priors in the representation of coherent risk measure is expressed in terms of quantile function and increasing concave function. We show that the set of prior, $\mathcal{Q}_c$ in (1.2) is equal to the set of $\mathcal{Q}_m$ in (1.6), as maximal representing set $\mathcal{Q}_{max}$ defined in (1.7).

• 대한수학회지
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• 제40권3호
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• pp.447-460
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• 2003

In this paper we study the non-degenerate n-connected canonical domains with n>1 related to the conjecture of S. Bell in [4]. They are connected to the algebraic property of the Bergman kernel and the Szego kernel. We characterize the non-degenerate doubly connected canonical domains.

• Nuclear Engineering and Technology
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• 제1권2호
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• pp.103-106
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• 1969

gauge독립한 새로운 unitary변환을 도입함으로서 진동하고 있는 전장안에서의 spin 1/2 가전입자의 운동을 기술하는데 적합한 Dirac 방정식의 표시가 도출되고 있다. 이 새로운 표시에 있어서 potentials를 포함하지 않은 유효 Hamiltonian은 그 비상대론적 근거에서 새로운 특성을 나타내는 사실을 보여주고 있다.

• 한국수학사학회지
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• 제26권5_6호
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• pp.355-370
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• 2013

Thomas Harriot has been introduced in middle school textbooks as a great mathematician who created the sign of inequality. This study is about Harriot's symbolism and the theory of equation. Harriot made symbols of mathematical concepts and operations and used the algebraic visual representation which were combinations of symbols. He also stated solving equations in numbers, canonical, and by reduction. His epoch-making inventions of algebraic equation using notation of operation and letters are similar to recent mathematical representation. This study which reveals Harriot's contribution to general and structural approach of mathematical solution shows many developments of algebra in 16th and 17th centuries from Viete to Harriot and from Harriot to Descartes.

• Spatial Information Research
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• 제3권2호
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• pp.147-159
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• 1995

GIS를 성공적으로 구축하기 위해서는 매핑기술, 기본 S/W기술, DB Tool 기술 등이 필수적으로 요구된다. 그 중에서도 매핑기술은 GIS공간 데이타베이스 구축에 있어서 많은 시간과 노력이 요구되는 매우 중요한 기술이라고 할 수 있다. 이에 본 논문에서는 GIS를 위한 효율적인 벡터링 도구를 체계적으로 설계하고 구현하였다. 벡터링 과정을 분석하여 자동화 가능한 부분과 나머지 부분을 분리하여 자동화 효율을 높임과 동시에, 편리한 사용자 환경을 구현하여 사용자에 의한 처리 과정의 효율 또한 높였다. 또 벡터 데이터의 다단계 표현을 제안하고 본 논문에서 개발한 벡터링 도구에 적용하여 그 유용성을 확인하였다.

• 컴퓨터교육학회논문지
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• 제6권2호
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• pp.53-60
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• 2003

M&S 분야에서는 오늘날의 시스템의 요구사항을 만족할 뿐만 아니라 미래의 데이터 공유 필요성을 만족할 수 있도록 확장될 수 있는 환경 데이터 표현 및 교환 메카니즘을 필요로 한다. 이러한 메카니즘은 표준화된 방법으로 데이터 표현 및 액세스를 할 수 있도록 해야 한다. 그리고 지형, 해양, 대기 및 우주공간에 대한 통합된 데이터를 포함하는 데이터베이스를 지원해야 한다. SEDRIS는 이러한 목적을 가능케하는 표준으로써, 환경 데이터 사용자 및 생성자에게 명료하게 정의된 교환 명세를 제공한다. 본 논문에서는 SEDRIS 기술 및 API를 이용하여 통합환경 영역내에 포함된 데이터 애트리뷰트를 추출할 수 있는 방법을 제시한다.

• 영어영문학
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• 제64권4호
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• pp.601-616
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• 2018

This article explores the ways Charles Dickens's roles as novelist and journal editor overlapped and influenced one another in the serial publication of A Tale of Two Cities (1859) and complicates recent historicist readings, which situate the novel in relation to the Indian Mutiny (1857-59), by calling attention to a double imperial logic used to construct British subjectivity not only against forms of Eastern Otherness but, moreover, against forms of Southern Otherness associated with the European South, especially Italy. Analyzing Dickens's historical representation of the French Revolution in relation to its contemporary international political context, this essay examines how the novel's serial publication draws upon political discourse from contemporary articles on the Second Italian War of Independence (1859-61) appearing concurrently in Dickens's journal, All the Year Round. Orientalism circulates simultaneously in the novel as a distant and exotic as well as a provincial and parochial representation of racial and cultural Otherness.

• Journal of applied mathematics & informatics
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• 제40권5_6호
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• pp.883-896
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• 2022

A hereditary base-b representation, used in the celebrated Goodstein's theorem, can easily be converted into a labeled rooted tree. In this way it is possible to give a more elementary geometric proof of the aforementioned theorem and to establish a more general version, geometrically proved. This view is very useful for better understanding the underlying logical problems and the need to use transfinite induction in the proof. Similar problems will then be considered, such as the so-called "hydra game".