• 제목/요약/키워드: Maximal chain

검색결과 77건 처리시간 0.025초

Bipartite posets with a unique optimal linear extension

  • Yoon, Young-Jin
    • 대한수학회보
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    • 제33권3호
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    • pp.393-395
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    • 1996
  • Let P be a finite poset and let $\mid$P$\mid$ be the number of vertices in pp. A Subposet of P is a subset of P with the induced order. A chain C in P is a subposet of P which is a linear order. The length of the chain C is $\mid$C$\mid$ - 1. A poset is bipartite if the length of each maximal chain is one.

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HYPERBOLICITY OF CHAIN TRANSITIVE SETS WITH LIMIT SHADOWING

  • Fakhari, Abbas;Lee, Seunghee;Tajbakhsh, Khosro
    • 대한수학회보
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    • 제51권5호
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    • pp.1259-1267
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    • 2014
  • In this paper we show that any chain transitive set of a diffeomorphism on a compact $C^{\infty}$-manifold which is $C^1$-stably limit shadowable is hyperbolic. Moreover, it is proved that a locally maximal chain transitive set of a $C^1$-generic diffeomorphism is hyperbolic if and only if it is limit shadowable.

A NOTE ON TOPOLOGICAL PROPERTIES IN MULTI-VALUED DYNAMICAL SYSTEMS

  • Cho, Chihyun;Chu, Hahng-Yun;Kang, No-Weon;Kim, Myoung-Jung
    • 충청수학회지
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    • 제35권2호
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    • pp.171-176
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    • 2022
  • In this article, we investigate the transitivity and chain transitivity on multi-valued dynamical systems. For compact-valued continuous dynamics, we prove that the notion of transitivity is expressed by the notions of the shadowing property and chain transitivity under locally maximal condition.

COMPUTING FUZZY SUBGROUPS OF SOME SPECIAL CYCLIC GROUPS

  • Makamba, Babington;Munywoki, Michael M.
    • 대한수학회논문집
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    • 제34권4호
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    • pp.1049-1067
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    • 2019
  • In this paper, we discuss the number of distinct fuzzy subgroups of the group ${\mathbb{Z}}_{p^n}{\times}{\mathbb{Z}}_{q^m}{\times}{\mathbb{Z}}_r$, m = 1, 2, 3 where p, q, r are distinct primes for any $n{\in}{\mathbb{Z}}^+$ using the criss-cut method that was proposed by Murali and Makamba in their study of distinct fuzzy subgroups. The criss-cut method first establishes all the maximal chains of the subgroups of a group G and then counts the distinct fuzzy subgroups contributed by each chain. In this paper, all the formulae for calculating the number of these distinct fuzzy subgroups are given in polynomial form.

PRIMENESS AND PRIMITIVITY IN NEAR-RINGS

  • Wendt, Gerhard
    • 대한수학회지
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    • 제58권2호
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    • pp.309-326
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    • 2021
  • In near-ring theory several different types of primitivity exist. These all imply several different types of primeness. In case of near-rings with DCCN most of the types of primeness are known to imply primitivity of a certain kind. We are able to show that also so called 1-prime near-rings imply 1-primitivity. This enables us to classify maximal ideals in near-rings with chain condition with the concept of 1-primeness which leads to further results in the structure theory of near-rings.

Some Special Cases of a Continuous Time-Cost Tradeoff Problem with Multiple Milestones under a Chain Precedence Graph

  • Choi, Byung-Cheon;Chung, Jibok
    • Management Science and Financial Engineering
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    • 제22권1호
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    • pp.5-12
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    • 2016
  • We consider a time-cost tradeoff problem with multiple milestones under a chain precedence graph. In the problem, some penalty occurs unless a milestone is completed before its appointed date. This can be avoided through compressing the processing time of the jobs with additional costs. We describe the compression cost as the convex or the concave function. The objective is to minimize the sum of the total penalty cost and the total compression cost. It has been known that the problems with the concave and the convex cost functions for the compression are NP-hard and polynomially solvable, respectively. Thus, we consider the special cases such that the cost functions or maximal compression amounts of each job are identical. When the cost functions are convex, we show that the problem with the identical costs functions can be solved in strongly polynomial time. When the cost functions are concave, we show that the problem remains NP-hard even if the cost functions are identical, and develop the strongly polynomial approach for the case with the identical maximal compression amounts.

Fermentation and Purification of LacZ-Fused Single Chain Insulin Precursor for($B^{30}$-Homoserine) Human Insulin

  • SeungYup Lee;Jeo
    • Biotechnology and Bioprocess Engineering:BBE
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    • 제1권1호
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    • pp.9-12
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    • 1996
  • In order to produce the single chain precursor of a novel human insulin analogue, (B30-Homoserine) insulin, the fermentative behaviors of Escherichia coli JM103 were studied, which harbors pKBA plasmid carrying a hybrid gene in which the gene for a single chain precursor was fused with lacZ gene under tac promoter. The maximal induction of gene expression was achieved when more than 0.05 mM of isopropyl-$\beta$-D-thiogalactopyranoside(IPTG) was supplemented to fermentation medium after 4 h cultivation of E. coli, and followed by longer than 2-h fermentation. The hybrid protein of the single chain insulin precursor was isolated from cytoplasmic inclusion bodies by dissolving in 8M urea solution, and purified through DEAE-Sephacel and Sephadex G-200 column chromatographies with a recovery of 35%. The finally purified hybrid protein showed a single band on sodium dodecyl sulfate-polyacrylamide gel.

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열린사슬 운동과 닫힌사슬운동시 내측광근과 대퇴이두근의 근활성도 차이 (Activation of Vastus Medialis and Biceps Femoris Muscle in Open and Closed Kinetic Chain Exercise)

  • 석창엽;이창렬;이문환
    • 대한예방한의학회지
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    • 제12권3호
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    • pp.115-128
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    • 2008
  • Purpose : This study was performed to distinguish the muscle activation of vastus medialis and biceps femoris through open and closed kinetic chain exercise. Methods : 31 healthy male and female students in Daegu Health College were participated in this study. All subjects were conducted three types open and closed kinetic chain exercises to examine muscle activity during the last four seconds using the sEMG system. Collected EMG data were normalized using the maximal voluntary isometric contraction(MVIC). Results : MVIC of each muscle was showed significantly increased(p<0.5). In the case of open chain exercise, the type 3 exercise most increased than type 2 and 3 exercise in vastus medialis than biceps femoris muscle. The closed chain exercise presented type 6 exercise most increased than type 4 and 5 exercise in biceps femoris than vastus medialis. Conclusion : This study finally proved that muscle activity which maintains stability of knee differ from depending on the types of exercises. Therefore, the combination of the two chain exercises is believed to greatly contribute to increments in muscle activity.

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A VERTEX PROPERTY OF REAL FUNCTION ALGEBRAS

  • Hwang, Sun-Wook
    • 한국수학교육학회지시리즈B:순수및응용수학
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    • 제5권1호
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    • pp.65-72
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    • 1998
  • We investigate a chain of properties of real function algebras along the analogous proofs of the complex cases such as the fact that any real function algebra which is both maximal and essential is pervasive. And some properties of real function algebras with a vertex property will be discussed.

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체인톱을 이용(利用)한 낙엽송(落葉松) 벌목작업(伐木作業)에서의 작업강도분석(作業强度分析) (Work Load of Felling Work Using Chain Saw in Japanese Larch Plantation Site)

  • 이준우;박범진;김재원;송태영
    • 한국산림과학회지
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    • 제87권2호
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    • pp.121-130
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    • 1998
  • 별도작업에서 작업원의 작업강도를 파악하기 위하여, 체인톱을 이용한 낙엽송 간벌작업에서 작업시간과 작업량을 조사하였으며, 작업시 심박수의 변화를 조사하였다. 또한, 작업원의 최대 작업수행 능력을 평가하기 위하여 최대산소섭취량을 조사하였다. 1일 실작업시간은 6시간 6분으로 오전작업시간이 약 3시간 12분, 오후가 2시간 54분으로 나타났고, 전체작업시간 중 실작업시간의 약 90% 정도를 차지하는 것으로 나타났으며, 실작업시간 중 요소작업 의 시간비율은 이동(Movement)의 비율이 평균 26.3%로 가장 큰 값을 보였다. 작업원의 작업량을 분석하기 위하며 시간당 벌목재적을 조사한 결과 평균 $2.62m^3/hr$로 나타났다. 작업원의 작업능력을 평가하기 위하여 최대산소섭취량을 분석한 결과, 평균 $2.42{\ell}/min$($46.5m{\ell}/kg/min$)으로 나타났으며, 작업시 심박수를 바탕으로 체인톱을 이용한 낙엽송 간벌작업 중 실동시간의 작업강도를 분석한 결과, 실동시간의 심박수 증가율은 평균 93.2%로 나타났고, 작업강도지수는 평균41.9%로 나타났다.

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