• Title/Summary/Keyword: upper set

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SPECTRAL CLASSES AND THE PARAMETER DISTRIBUTION SET

  • BAEK, IN-SOO
    • Communications of the Korean Mathematical Society
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    • v.30 no.3
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    • pp.221-226
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    • 2015
  • The natural projection of a parameter lower (upper) distribution set for a self-similar measure on a self-similar set satisfying the open set condition is the cylindrical lower or upper local dimension set for the Legendre self-similarmeasure which is derived from the self-similar measure and the self-similar set.

Kinematic Analysis of a Double-Action Link-Type Die Set for the Enclosed Die Forging (폐쇄단조용 복동링크식 다이세트의 기구학적 해석)

  • Park Rae-Hun;Jun Byoung-Yoon;Lee Min-Cheol;Joun Man-Soo
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.30 no.10 s.253
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    • pp.1293-1297
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    • 2006
  • In this paper, kinematic analysis of a double-action link-type die set for enclosed die forging is carried out. The structure of the die set and its operational principle during enclosed die forging are introduced in detail. A closed-form solution of the relative velocity of the middle plate with respect to the upper plate after the upper and lower dies are enclosed is given in terms of the link lengths and the distance from the lower pin to the upper pin of the link system. The effect of the link lengths on both strokes and velocities is investigated. It has been shown that the relative velocity of the middle plate with respect to the upper plate varies almost linearly with the stroke of the upper plate.

PACKING DIMENSION OF MEASURES ON A RANDOM CANTOR SET

  • Baek, In-Soo
    • Journal of the Korean Mathematical Society
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    • v.41 no.5
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    • pp.933-944
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    • 2004
  • Packing dimension of a set is an upper bound for the packing dimensions of measures on the set. Recently the packing dimension of statistically self-similar Cantor set, which has uniform distributions for contraction ratios, was shown to be its Hausdorff dimension. We study the method to find an upper bound of packing dimensions and the upper Renyi dimensions of measures on a statistically quasi-self-similar Cantor set (its packing dimension is still unknown) which has non-uniform distributions of contraction ratios. As results, in some statistically quasi-self-similar Cantor set we show that every probability measure on it has its subset of full measure whose packing dimension is also its Hausdorff dimension almost surely and it has its subset of full measure whose packing dimension is also its Hausdorff dimension almost surely for almost all probability measure on it.

New Upper Bounds for the CALE: A Singular Value Decomposition Approach

  • Savov, Svetoslav G.;Popchev, Ivan P.
    • International Journal of Control, Automation, and Systems
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    • v.6 no.2
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    • pp.288-294
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    • 2008
  • Motivated by the fact that upper solution bounds for the continuous Lyapunov equation are valid under some very restrictive conditions, an attempt is made to extend the set of Hurwitz matrices for which such bounds are applicable. It is shown that the matrix set for which solution bounds are available is only a subset of another stable matrices set. This helps to loosen the validity restriction. The new bounds are illustrated by examples.

ON GENERALIZED UPPER SETS IN BE-ALGEBRAS

  • Ahn, Sun-Shin;So, Keum-Sook
    • Bulletin of the Korean Mathematical Society
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    • v.46 no.2
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    • pp.281-287
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    • 2009
  • In this paper, we develop the idea of a generalized upper set in a BE-algebra. Furthermore, these sets are considered in the context of transitive and self distributive BE-algebras and their ideals, providing characterizations of one type, the generalized upper sets, in terms of the other type, ideals.

DIMENSIONS OF THE SUBSETS IN THE SPECTRAL CLASSES OF A SELF-SIMILAR CANTOR SET

  • Baek, In-Soo
    • Journal of applied mathematics & informatics
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    • v.26 no.3_4
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    • pp.733-738
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    • 2008
  • Using an information of dimensions of divergence points, we give full information of dimensions of the completely decomposed class of the lower(upper) distribution sets of a self-similar Cantor set. Further using a relationship between the distribution sets and the subsets generated by the lower(upper) local dimensions of a self-similar measure, we give full information of dimensions of the subsets by the local dimensions.

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ROUGH SET THEORY APPLIED TO INTUITIONISTIC FUZZY IDEALS IN RINGS

  • Jun, Young-Bae;Park, Chul-Hwan;Song, Seok-Zun
    • Journal of applied mathematics & informatics
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    • v.25 no.1_2
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    • pp.551-562
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    • 2007
  • This paper concerns a relationship between rough sets, intuitionistic fuzzy sets and ring theory. We consider a ring as a universal set and we assume that the knowledge about objects is restricted by an intuitionistic fuzzy ideal. We apply the notion of intutionistic fuzzy ideal of a ring for definitions of the lower and upper approximations in a ring. Some properties of the lower and upper approximations are investigated.

VARIATION OF ORBIT-COINCIDENCE SETS

  • Srivastava, Anjali
    • Journal of the Chungcheong Mathematical Society
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    • v.15 no.1
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    • pp.1-6
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    • 2002
  • David Gavid [3] proved that in many familiar cases the upper semi-finite topology on the set of closed subsets of a space is the largest topology making the coincidence function continuous, when the collection of functions is given the graph topology. Considering G-spaces and taking the coincidence set to consist of points where orbits coincidence, we obtain G-version of many of his results.

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Design of a Prototype Jacket for Upper Extremity Load Reduction (상지 부하 감소를 위한 기능성 상의 프로토타입 디자인)

  • Park, Sunhee;Lee, Yejin
    • Journal of the Korean Society of Clothing and Textiles
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    • v.46 no.4
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    • pp.613-623
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    • 2022
  • This study developed a functional prototype jacket designed to reduce loads on the upper extremities of workers performing repetitive motions in the same posture for extended periods of time. Dynamic taping lines were applied to the upper extremities, and three dimensional (3D) supporters were inserted in the abdomen and back waist areas corresponding to the core muscles. Clothing pressure on the upper-extremity dynamic taping lines was set to two levels (proto P1 and proto P2), and the 3D supporters were designed in three types (proto FW, proto FW/BW, proto FW/BW/BBX). According to the subjective pressure perceived on each part of the upper extremities, the level proto P1 pressure was preferred. The proto FW/BW/BBX 3D supporter was rated as excellent, and the perceived pressure was ranked as satisfactory. The prototype jacket performed upper-extremity load reduction when the upper-extremity clothing-pressure level was set to 1.8 kPa, 2.1 kPa, and 2.4 kPa on the upper arm, forearm, and wrist regions, respectively, and when 3D supporters were installed in the abdomen and back of the waist with the addition of a back band.