• Title/Summary/Keyword: Maximal chain

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Bipartite posets with a unique optimal linear extension

  • Yoon, Young-Jin
    • Bulletin of the Korean Mathematical Society
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    • v.33 no.3
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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
    • Bulletin of the Korean Mathematical Society
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    • v.51 no.5
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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
    • Journal of the Chungcheong Mathematical Society
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    • v.35 no.2
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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.
    • Communications of the Korean Mathematical Society
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    • v.34 no.4
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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
    • Journal of the Korean Mathematical Society
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    • v.58 no.2
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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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    • v.22 no.1
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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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    • v.1 no.1
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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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Activation of Vastus Medialis and Biceps Femoris Muscle in Open and Closed Kinetic Chain Exercise (열린사슬 운동과 닫힌사슬운동시 내측광근과 대퇴이두근의 근활성도 차이)

  • Seok, Chang-Yeob;Lee, Chang-Ryeol;Lee, Moon-Hwan
    • Journal of Society of Preventive Korean Medicine
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    • v.12 no.3
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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
    • The Pure and Applied Mathematics
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    • v.5 no.1
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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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Work Load of Felling Work Using Chain Saw in Japanese Larch Plantation Site (체인톱을 이용(利用)한 낙엽송(落葉松) 벌목작업(伐木作業)에서의 작업강도분석(作業强度分析))

  • Lee, Joon Woo;Park, Bum Jin;Kim, Jae Won;Song, Tae Young
    • Journal of Korean Society of Forest Science
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    • v.87 no.2
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    • pp.121-130
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    • 1998
  • This study was carried out to investigate working time, productivity, and heart rate during thinning using chain saw in Japanese larch(Larix leptolepis) plantation site for analysis of physical work load, and to investigate maximal oxygen uptake of worker for analysis of maximal work capacity. The real working time was 366 minutes in a day ; about 192 minutes in the a.m., 174 minutes in the p.m.. The ratio of real working time per total working time was approximately 90%. The rate of moving(Mo) to real working times was 26.3, which was the largest one of work elements. Average maximal oxygen uptake, as an asset of personnel performance, was $2.42{\ell}/min$($46.5m{\ell}/kg/min$). During the real working time, average productivity, the mean rate of increase of heart rate, and the mean work load index was $2.62m^3/hr$, 93.2%, and 41.9%, respectively.

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