• 제목/요약/키워드: digital isomorphism

검색결과 16건 처리시간 0.02초

REMARK ON GENERALIZED UNIVERSAL COVERING SPACE IN DIGITAL COVERING THEORY

  • Han, Sang-Eon
    • 호남수학학술지
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    • 제31권3호
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    • pp.267-278
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    • 2009
  • As a survey-type article, the paper reviews the recent results on a (generalized) universal covering space in digital covering theory. The recent paper [19] established the generalized universal (2, k)-covering property which improves the universal (2, k)-covering property of [3]. In algebraic topology it is well-known that a simply connected and locally path connected covering space is a universal covering space. Unlike this property, in digital covering theory we can propose that a generalized universal covering space has its intrinsic feature. This property can be useful in classifying digital covering spaces and in studying a shortest k-path problem in data structure.

COMPARISON AMONG SEVERAL ADJACENCY PROPERTIES FOR A DIGITAL PRODUCT

  • Han, Sang-Eon
    • 호남수학학술지
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    • 제37권1호
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    • pp.135-147
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    • 2015
  • Owing to the notion of a normal adjacency for a digital product in [8], the study of product properties of digital topological properties has been substantially done. To explain a normal adjacency of a digital product more efficiently, the recent paper [22] proposed an S-compatible adjacency of a digital product. Using an S-compatible adjacency of a digital product, we also study product properties of digital topological properties, which improves the presentations of a normal adjacency of a digital product in [8]. Besides, the paper [16] studied the product property of two digital covering maps in terms of the $L_S$- and the $L_C$-property of a digital product which plays an important role in studying digital covering and digital homotopy theory. Further, by using HS- and HC-properties of digital products, the paper [18] studied multiplicative properties of a digital fundamental group. The present paper compares among several kinds of adjacency relations for digital products and proposes their own merits and further, deals with the problem: consider a Cartesian product of two simple closed $k_i$-curves with $l_i$ elements in $Z^{n_i}$, $i{\in}\{1,2\}$ denoted by $SC^{n_1,l_1}_{k_1}{\times}SC^{n_2,l_2}_{k_2}$. Since a normal adjacency for this product and the $L_C$-property are different from each other, the present paper address the problem: for the digital product does it have both a normal k-adjacency of $Z^{n_1+n_2}$ and another adjacency satisfying the $L_C$-property? This research plays an important role in studying product properties of digital topological properties.

REMARKS ON SIMPLY k-CONNECTIVITY AND k-DEFORMATION RETRACT IN DIGITAL TOPOLOGY

  • Han, Sang-Eon
    • 호남수학학술지
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    • 제36권3호
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    • pp.519-530
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    • 2014
  • To study a deformation of a digital space from the viewpoint of digital homotopy theory, we have often used the notions of a weak k-deformation retract [20] and a strong k-deformation retract [10, 12, 13]. Thus the papers [10, 12, 13, 16] firstly developed the notion of a strong k-deformation retract which can play an important role in studying a homotopic thinning of a digital space. Besides, the paper [3] deals with a k-deformation retract and its homotopic property related to a digital fundamental group. Thus, as a survey article, comparing among a k-deformation retract in [3], a strong k-deformation retract in [10, 12, 13], a weak deformation k-retract in [20] and a digital k-homotopy equivalence [5, 24], we observe some relationships among them from the viewpoint of digital homotopy theory. Furthermore, the present paper deals with some parts of the preprint [10] which were not published in a journal (see Proposition 3.1). Finally, the present paper corrects Boxer's paper [3] as follows: even though the paper [3] referred to the notion of a digital homotopy equivalence (or a same k-homotopy type) which is a special kind of a k-deformation retract, we need to point out that the notion was already developed in [5] instead of [3] and further corrects the proof of Theorem 4.5 of Boxer's paper [3] (see the proof of Theorem 4.1 in the present paper). While the paper [4] refers some properties of a deck transformation group (or an automorphism group) of digital covering space without any citation, the study was early done by Han in his paper (see the paper [14]).

Performance evaluation of safety-critical systems of nuclear power plant systems

  • Kumar, Pramod;Singh, Lalit Kumar;Kumar, Chiranjeev
    • Nuclear Engineering and Technology
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    • 제52권3호
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    • pp.560-567
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    • 2020
  • The complexity of safety critical systems of Nuclear Power Plant continues to increase rapidly due its transition from analog to digital systems. It has thus become progressively more imperative to model these systems prior to their implementation in order to meet the high performance, safety and reliability requirements. Timed Petri Nets (TPNs) have been widely used to model such systems for non-functional analysis. The paper presents a novel methodology for the analysis of the performance metrics using PN modeling. The paper uses the isomorphism property of the TPNs and the Markov chains for the performance analysis of the safety critical systems. The presented methodology has been validated on a Shutdown System of a Nuclear Power Plant.

모바일 환경에서의 콘텐츠 보호를 위한 핑거프린팅 기법 (Fingerprinting Scheme for Contents Protection in Mobile Environment)

  • 용승림;이상호
    • 정보처리학회논문지C
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    • 제15C권3호
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    • pp.167-172
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    • 2008
  • 핑거프린팅 기법은 암호학적인 기법들을 이용하여 디지털 데이터를 불법적으로 재배포한 사용자를 찾아냄으로써 디지털 데이터의 저작권을 보호하기 위해 사용된다. 핑거프린팅 기법은 구매자의 프라이버시 보호를 위하여 익명성과 비대칭성을 보장할 수 있어야 하므로, 이산대수 문제나 그래프 동형 문제와 같은 어려운 문제들에 기반하거나 공개키 암호 시스템을 이용한다. 그러나 이러한 기법들은 많은 계산량을 필요로 하기 때문에 계산능력이 낮은 모바일 환경에 적합하지 않다. 본 논문에서는 구매자의 익명성과 비대칭성을 만족하면서 모바일 환경에서 콘텐츠를 보호하기 위한 효율적인 핑거프린팅 기법을 제안한다. 제안한 기법에서는 에이전트의 개념을 이용하고, 콘텐츠 암호화를 위하여 대칭키 암호 시스템을 이용함으로써 효율성을 향상시켰다.

제도적 압력이 IT투자 의사결정에 미치는 영향 (An Understanding the Effect of Institutional Pressures on IT Investment Decision Making of Managers)

  • 최성욱;임명성
    • 디지털융복합연구
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    • 제10권11호
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    • pp.175-183
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    • 2012
  • 본 연구는 조직 외부적 요인인 제도적 압력이 의사결정자의 IT투자 의사결정에 미치는 영향을 규명하기 위해 수행되었다. 제시된 연구모형을 분석하기 위해 중소기업을 대상으로 설문을 배포하여 데이터를 수집하였다. 수집된 데이터는 PLS 기법을 활용하여 분석하였다. 분석 결과 강압적 압력과 규범적 압력은 IT투자 의사결정에 유의한 영향을 미치지 않았으나 모방적 압력에 유의한 영향을 미치는 것으로 나타났다. 모방적 압력은 IT투자 의사결정에 유의한 영향을 미치는 것으로 나타났다.