• 제목/요약/키워드: upper set

검색결과 881건 처리시간 0.029초

GLOBAL SHAPE OF FREE BOUNDARY SATISFYING BERNOULLI TYPE BOUNDARY CONDITION

  • Lee, June-Yub;Seo, Jin-Keun
    • 대한수학회지
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    • 제37권1호
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    • pp.31-44
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    • 2000
  • We study a free boundary problem satisfying Bernoulli type boundary condition along which the gradient of a piecewise harmonic solution jumps zero to a given constant value. In such problem, the free boundary splits the domain into two regions, the zero set and the harmonic region. Our main interest is to identify the global shape and the location of the zero set. In this paper, we find the lower and the upper bound of the zero set. In a convex domain, easier estimation of the upper bound and faster disk test technique are given to find a rough shape of the zero set. Also a simple proof on the convexity of zero set is given for a connected zero set in a convex domain.

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SETS OF WEAK EXPONENTS OF INDECOMPOSABILITY FOR IRREDUCIBLE BOOLEAN MATRICES

  • BO, ZHOU;CHO, HAN-HYUK;KIM, SUH-RYUNG
    • 대한수학회보
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    • 제42권2호
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    • pp.415-420
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    • 2005
  • Let $IB_n$ be the set of all irreducible matrices in $B_n$ and let $SIB_n$ be the set of all symmetric matrices in $IB_n$. Finding an upper bound for the set of indices of matrices in $IB_n$ and $SIB_n$ and determining gaps in the set of indices of matrices in $IB_n$ and $SIB_n$ has been studied by many researchers. In this paper, we establish a best upper bound for the set of weak exponents of indecomposability of matrices in $SIB_n\;and\;IB_n$, and show that there does not exist a gap in the set of weak exponents of indecomposability for any of class $SIB_n\;and\;class\;IB_n$.

Pointless Form of Rough Sets

  • FEIZABADI, ABOLGHASEM KARIMI;ESTAJI, ALI AKBAR;ABEDI, MOSTAFA
    • Kyungpook Mathematical Journal
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    • 제55권3호
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    • pp.549-562
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    • 2015
  • In this paper we introduce the pointfree version of rough sets. For this we consider a lattice L instead of the power set P(X) of a set X. We study the properties of lower and upper pointfree approximation, precise elements, and their relation with prime elements. Also, we study lower and upper pointfree approximation as a Galois connection, and discuss the relations between partitions and Galois connections.

남성 캐주얼 의류제작을 위한 호칭별 기준 누드사이즈 연구 - 25세~34세를 중심으로 - (A Study on the Standard Nude Size for Making Men's Casual Wear for the 25~34 Age Group)

  • 성옥진;양정은
    • 한국의류학회지
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    • 제34권4호
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    • pp.588-596
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    • 2010
  • This study suggest the size designation and standard nude size in relation to upper and lower garments for casual clothing brands targeting men aged 25 to 34. The nude size designation of upper garments was set at intervals of 5cm based on the bust (97cm). The clothing industry has used different nude size and designations; therefore, the following measurements were established to correspond to each other: bust 87cm- designation 90, bust 92cm- designation 95, bust 97 cm-designation 100, bust 102cm- designation 105, and bust 107cm- designation 110. The nude size designation of lower garments was set at intervals of 2cm based on the waist circumference (omphalion) and the nude size; the clothing designations were used equally. In addition, the standard nude size for upper and lower garments was set at intervals of bust (97cm) and of waist circumference (82cm), respectively, in order to suggest a detailed size.

양형 IMS 모듈 튜블러 샤프트의 스플라인 가공 개선 (Improvement of Tubular Shaft Yoke Spline Machining in Both Side IMS Module)

  • 민세훈;서현규
    • 한국기계기술학회지
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    • 제20권6호
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    • pp.924-928
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    • 2018
  • The objective of this study is to solve a problem that is occurred during the spline machining of tubular shaft yoke in both side IMS module. In order to simulate the problem, the movement direction of upper die was set as standard case and error case. The material of tubular shaft yoke was set to S20C as refer to the analysis library. The movement directions of upper die were separated with standard case and error case. The error case was set to simulate the problem in the spline machining of tubular shaft yoke. In order to solve the problem, the outer radius of upper die were modelled from 9.40mm to 9.44mm. The simulation results were analyzed and compared in terms of effective stress, metal flow line and folding phenomena characteristics. In case of the outer radius of upper die was 9.42mm, it was observed a relatively uniform effective stress distribution and had a straight metal flow line.

On Upper and Lower Z-supercontinuous Multifunctions

  • Akdag, Metin
    • Kyungpook Mathematical Journal
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    • 제45권2호
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    • pp.221-230
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    • 2005
  • In this paper, we define a multifunction $F:X{\rightarrow}Y$ to be upper (lower) Z -supercontinuous if $F^{+}(V)(F^{-}(V))$ is z-open in X for every open set V of Y. We obtain some characterizations and several properties concerning upper (lower) Z-supercontinuous multifunctions.

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모델의 타당성 평가에 기초한 로바스트 동정에 관한 연구 (A Study on Robust Identification Based on the Validation Evaluation of Model)

  • 이동철
    • 동력기계공학회지
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    • 제4권3호
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    • pp.72-80
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    • 2000
  • In order to design a stable robust controller, nominal model, and the upper bound about the uncertainty which is the error of the model are needed. The problem to estimate the nominal model of controlled system and the upper bound of uncertainty at the same time is called robust identification. When the nominal model of controlled system and the upper bound of uncertainty in relation to robust identification are given, the evaluation of the validity of the model and the upper bound makes it possible to distinguish whether there is a model which explains observation data including disturbance among the model set. This paper suggests a method to identity the uncertainty which removes disturbance and expounds observation data by giving a probable postulation and plural data set to disturbance. It also examines the suggested method through a numerical computation simulation and validates its effectiveness.

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모델의 타당성 평가에 기초한 로바스트 동정에 관한 연구 (A Study on Robust Identification Based on the Validation Evaluation of Model)

  • 이동철;정형환;배종일
    • 대한전기학회:학술대회논문집
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    • 대한전기학회 2000년도 하계학술대회 논문집 D
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    • pp.2690-2692
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    • 2000
  • In order to design a stable robust controller, nominal model, and the upper bound about the uncertainty which is the error of the model are needed. The problem to estimate the nominal model of controlled system and the upper bound of uncertainty at the same time is called robust identifcation. When the nominal model of controlled system and the upper bound of uncertainty in relation to robust identifcation are given, the evaluation of the validity of the model and the upper bound makes it possible to distinguish whether there is a model which explains observation data including disturbance among the model set. This paper suggests a method to identify the uncertainty which removes disturbance and expounds observation data by giving a probable postulation and plural data set to disturbance. It also examines the suggested method through a numerical computation simulation and validates its effectiveness.

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트리의 [1,2]-지배 수 상계에 대한 특성 분석 (Analysis on the characteristics for upper bound of [1,2]-domination in trees)

  • 이훈;손무영
    • 한국정보통신학회논문지
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    • 제20권12호
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    • pp.2243-2251
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    • 2016
  • 본 연구에서는 트리구조를 가지는 네트워크의 [1,2]-지배집합에 대한 특성과 지배수의 상계 값에 대한 이론적 모형을 제시하였다. 구체적으로는 트리 네트워크가 가지는 몇 가지 전형적인 제약에 대해서 각 유형이 가지고 있는 지배집합의 지배수의 상계 값을 도출하였다. 본 논문에서는 트리구조의 네트워크에 대한 특성을 해석함에 있어서 그래프이론을 적용하였다. 노드집합 V와 링크집합 E으로 구성되는 그래프 G=(V,E)에 대해서 노드집합 V의 부분 집합 D를 가정한다. 이때 집합 V에 속하면서 집합 D에 속하는 않는 임의의 노드 ${\upsilon}$가 D에 속하는 노드와 1개 이상 2개 이하로만 인접하여 있으면 D를 [1,2]-지배집합이라 한다. 그리고 그래프 G의 [1,2]-지배집합 중 최소 농도를 [1,2]-지배 수라 하고 ${\gamma}_{[1,2]}(G)$로 표시한다. 본 논문에서는 트리(tree)의 [1,2]-지배 수에 대한 특성과 이의 새로운 상계 값을 증명하였다.