• 제목/요약/키워드: $S_3$-algebra

검색결과 135건 처리시간 0.022초

GIS와 군집분석을 이용한 경관자원평가와 관리 - 제주도 경관을 대상으로 - (An Evaluation and Management of Landscape Resources through an Application of GIS and Cluster Analysis: In the case of Cheju island)

  • 서주환;윤재남
    • 한국조경학회지
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    • 제27권3호
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    • pp.88-97
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    • 1999
  • Current landscape management is focused towards managing uniformly, such as setting a limit on building's height and managing by putting first priority on building. For this reason, broader impact of landscape has not been studies thoroughly, and it was considered to be an important factor of not being able to operate diverse and active landscape management. Accordingly, the objective of this particular research to establish concrete and diverse device for managing landscape by adapting Map Algebra and Spatial Statistics, as one of the means of efficient landscape management, and applying the effectiveness of each landscape element in numerical value. Furthermore, this research was done in order to make a spatial estimation possible for resources to be located in compliance with each facility or landscape condition of individual region.

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화학공정의 사고 빈도 분석 S/W 개발 (Development of Accident Frequency Analysis S/W for Chemical Processes)

  • 서재민;신동일;고재욱
    • 한국가스학회지
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    • 제3권3호
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    • pp.29-33
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    • 1999
  • 본 연구는 정량적 위험 평가의 기반 조성을 위해서 다양한 위험 평가 기법 중에서 이상 트리 분석(Fault Tree Analysis) 방법을 이용하여 빈도 분석 프로그램을 개발하였다. 빈도 분석 프로그램을 구축하기 위하여 계산 과정에서는 gate-by-gate 방법과 부울 대수 (Boolean algebra) 방법을 이용하였고, minimal cut set 방법을 이용하여 사고 발생 경로를 정량적으로 표현하였다 결론적으로 본 연구에서 개발한 빈도 분석 프로그램을 이용하여 사고 발생 빈도를 낮출 수 있다면 공정 전체의 안전성을 높이는데 큰 도움이 될 것이며, 기존에 사용되고 있는 외국의 S/W를 대체할 수 있을 것이라고 사료된다.

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ON FORMANEK'S CENTRAL POLYNOMIALS

  • Lee, Woo
    • Journal of applied mathematics & informatics
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    • 제26권3_4호
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    • pp.751-755
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    • 2008
  • Formanek([2]) proved that $M_n(K)$, the matrix algebra has a nontrivial central polynomial when char K = 0. Also Razmyslov([3]) showed the same result using the essential weak identity. In this article we explicitly compute Formanek's central polynomial for $M_2(\mathbb{C})$ and $M_3(\mathbb{C})$ and classify the coefficients of the central polynomial.

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ANSWERS TO LEE AND PARK'S QUESTIONS

  • Kang, Min-Su
    • 대한수학회논문집
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    • 제27권1호
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    • pp.1-6
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    • 2012
  • In [K. J. Lee and C. H. Park, Some questions on fuzzifications of ideals in subtraction algebras, Commun. Korean Math. Soc. 22 (2007), no. 3, 359-363], Lee and Park posed three questions. In this paper, the affirmative answers to their questions are provided, and characterizations of fuzzy ideals are investigated.

수학 개념의 습득에 있어 기호의 발견법적 기능 (The heuristic function of mathematical signs in learning of mathematical concepts)

  • 정계섭
    • 한국수학사학회지
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    • 제22권3호
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    • pp.45-60
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    • 2009
  • 수학적 사고는 외적 기호에 의해 기호화되고, 역으로 이 기호는 사고의 형태를 결정한다. 기호는 - 대수학에서의 기호, 해석학에서의 기호 그리고 삼단논법을 검증해주는 다이어그램 - 수학연구에서 수행하는 사고 작용의 다양성을 반영하고 각각 발견법적 기능을 수행한다.

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JORDAN DERIVATIONS ON NONCOMMUTATIVE BANACH ALGEBRAS

  • Park, Kyoo-Hong;Kim, Byung-Do;Byun, Sang-Hun
    • Journal of applied mathematics & informatics
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    • 제7권3호
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    • pp.995-1004
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    • 2000
  • In this paper we shall give a slight generalization of J. Vukman's Theorem. And show from the result that the image of a continuous linear Jordan derivation on a noncommutative Banach algebra A is contained in the radical under the condition [D(x),x]E(x) ${\in}$ rad(A) for all $x{\in}A$ . And we show some properties of the derivations on noncommutative Banach algebras.

FOURIER-YEH-FEYNMAN TRANSFORM AND CONVOLUTION ON YEH-WIENER SPACE

  • Kim, Byoung Soo;Yang, Young Kyun
    • Korean Journal of Mathematics
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    • 제16권3호
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    • pp.335-348
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    • 2008
  • We define Fourier-Yeh-Feynman transform and convolution product on the Yeh-Wiener space, and establish the existence of Fourier-Yeh-Feynman transform and convolution product for functionals in a Banach algebra $\mathcal{S}(Q)$. Also we obtain Parseval's relation for those functionals.

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EXISTENCE OF FUZZY IDEALS WITH ADDITIONAL CONDITIONS IN BCK/BCI-ALGEBRAS

  • Jun, Young-Bae;Park, Chul-Hwan
    • 한국수학교육학회지시리즈B:순수및응용수학
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    • 제14권3호
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    • pp.223-230
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    • 2007
  • We give an answer to the following question: Question. Let S be a subset of [0,1] containing a maximal element m > 0 and let C :=$\{I_{t}\;{\mid}\;t{\in}S\}$ be a decreasing chain of ideals of a BCK/BCI-algebra X. Then does there exists a fuzzy ideal ${\mu}(X)=S\;and\;C_{\mu}=C?$.

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ON THE BCI-G PART OF BCI-ALGEBRAS (III)

  • Jun, Y.B.;Hong, S.M.;Roh, E.H.;Meng, J.
    • 대한수학회논문집
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    • 제9권3호
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    • pp.531-538
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    • 1994
  • This paper is a continuation of [1] and [3]. In [3], the notion of BCI-G parts of BCI-algebras was introduced and various properties were investigated. In this paper, we consider the inverse of [3; Theorem 15], and define a KG-union BCI-algebra and investigate their properties.

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