• Title/Summary/Keyword: 1991 Mathematical Subject Classification

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SCALE-INVARIANT TRANSFORM

  • Oh, Choon-Suk
    • Journal of applied mathematics & informatics
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    • v.2 no.1
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    • pp.11-16
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    • 1995
  • Scale Invariant Transforms are defined for both one- and two- dimensioned input functions. These have the desirable properties of linearity and invariance to scale change of the input.

A NOTE ON PROJECTIVE AND INJECTIBVE AUTOMATA

  • Park, Chin-Hong
    • Journal of applied mathematics & informatics
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    • v.3 no.1
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    • pp.79-88
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    • 1996
  • In this paper we define a new short exact sequence of automata and we investigate module-like properties on projective and injective automata

FUZZY SELECTION AND EXISTENCE OF FUZZY FIXED POINT

  • Kim, Won-Kyu;Park, Kyoo-Hong;Lee, Kyoung-Hee
    • Journal of applied mathematics & informatics
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    • v.2 no.1
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    • pp.17-24
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    • 1995
  • In this paper we shall prove a new fuzzy continuous selec-tion theorem in a compact convex set and next a fixed point theorem for fuzzy mappings is established.

ESTIMATION OF SCALE PARAMETER FROM RAYLEIGH DISTRIBUTION UNDER ENTROPY LOSS

  • Chung, Youn-Shik
    • Journal of applied mathematics & informatics
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    • v.2 no.1
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    • pp.33-40
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    • 1995
  • Entropy loss is derived by the scale parameter of Rayleigh distribution. Under this entropy loss we obtain the best invariant estimators and the Bayes estimators of the scale parameter. Also we compare MLE with the proposed estimators.

CATEGORICAL TOPOLOGY의 역사

  • 홍성사;홍영희
    • Journal for History of Mathematics
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    • v.10 no.2
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    • pp.11-23
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    • 1997
  • Category theory gives a convenient language for the study of mathematical structures besides its own study. In this paper, we investigate how the abstract structure theory emerged in 1930s affects the study in Topology and eventually becomes a rudiment for the category theory. Moreover, various extensions and universal mapping problems were put in their proper perspective as reflections by the category theory and by its duality principle, coreflections become an interesting subject in Topology, both of which give rise to a new discipline of the categorical topology.

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Convergence of weighted sums of linearly negative quadrant dependent random variables (선형 음의 사분 종속확률변수에서 가중합에 대한 수렴성 연구)

  • Lee, Seung-Woo;Baek, Jong-Il
    • Journal of Applied Reliability
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    • v.12 no.4
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    • pp.265-274
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    • 2012
  • We in this paper discuss the strong law of large numbers for weighted sums of arrays of rowwise LNQD random variables by using a new exponential inequality of LNQD r.v.'s under suitable conditions and we obtain one of corollary.

Zermelo 이후의 선택공리

  • 홍성사;홍영희
    • Journal for History of Mathematics
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    • v.9 no.2
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    • pp.1-9
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    • 1996
  • This paper is a sequel to [26]. We investigate how the Axiom of Choice has been accepted after Zermelo introduced the Axiom in 1904. The response to the Axiom has divided into two groups of mathematicians, namely idealists and empiricists. We also investigate how the Zorn's lemma (1935) has been emerged. It was originally formulated by Hausdorff in 1909 and then by many other mathematicians independently.

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THE APPROXIMATION OF CUBIC BEZIER CURVE BY A PIECEWISE QUADRATIC BEZIER CURVES (구간적 2차 BEZIER 곡선에 의한 3차 BEZIER 곡선의 근사)

  • 박윤범
    • Journal of applied mathematics & informatics
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    • v.2 no.2
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    • pp.75-82
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    • 1995
  • 4대의 제어점에 의해 정의되는 3차 Bezier 곡선을 구간적 (piecewise) 2차 Bezier 곡선으로 근사 하는 기하적인 알고리듬을 제시한다. 또한 제시한알고리듬의 오차해석을 통하여 수정된 알 고리듬을 구성한다. 분확방법을 동시에 사용하여 주어진 허용오차 이내의 구간적 2차 근사 곡선을 구할수 있다. 제시한 알고리듬은 오차해석을 이용하여 필요한 분활의 수행회수를 미 리 결정할수있는장점을 가지고있다.