• 제목/요약/키워드: Semi-closed space

검색결과 53건 처리시간 0.025초

ON FUZZY BITOPOLOGICAL SPACES IN ŠOSTAK'S SENSE (II)

  • Ramadan, Ahmed Abd El-Kader;Abbas, Salah El-Deen;El-Latif, Ahmed Aref Abd
    • 대한수학회논문집
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    • 제25권3호
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    • pp.457-475
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    • 2010
  • In this paper, we have use a fuzzy bitopological space (X, $\tau_1$, $\tau_2$) to create a family $\tau_{ij}^s$ which is a supra fuzzy topology on X. Also, we introduce and study the concepts of r-($\tau_i$, $\tau_j$)-generalized fuzzy regular closed, r-($\tau_i$, $\tau_j$)-generalized fuzzy strongly semi-closed and r-($\tau_i$, $\tau_j$)-generalized fuzzy regular strongly semi-closed sets in fuzzy bitopological space in the sense of $\check{S}$ostak. Also, these classes of fuzzy subsets are applied for constructing several type of fuzzy closed mapping and some type of fuzzy separation axioms called fuzzy binormal, fuzzy mildly binormal and fuzzy almost pairwise normal.

반용융 재료의 변형거동에 대한 변형률 속도의 영향 (Effect of strain-rate on deformation behavior of semi-solid material)

  • 황재호;고대철;최재찬
    • 한국정밀공학회:학술대회논문집
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    • 한국정밀공학회 1997년도 춘계학술대회 논문집
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    • pp.777-781
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    • 1997
  • In this study, the effect of strain-rate and inital solid fraction on the deformation behaviour of semi-solid material is investigated, when semi-solid forging is performed by the process of closed-die compression using A356 alloy of which the above results can be practically applied for industrical purpose. In order to simulate densification in the deformation of semi-solid material, the semi-solid material is assumed to be composed of solid region following rigid visco-plastic material, the liquid region following Darcy's law for the liquid flow saturated in the interstitial space. Simulation results of closed-die compression and simple upsetting under different strain-rate and initial solid fraction are compared.

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OBTAINING WEAKER FORM OF CLOSED SETS IN TOPOLOGICAL SPACE USING PYTHON PROGRAM

  • Prabu, M. Vivek;Rahini, M.
    • 한국수학교육학회지시리즈B:순수및응용수학
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    • 제29권1호
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    • pp.93-102
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    • 2022
  • The impact of programming languages in the research sector has helped lot of researchers to broaden their view and extend their work without any limitation. More importantly, even the complex problems can be solved in no matter of time while converting them into a programming language. This convenience provides upper hand for the researchers as it places them in a comfort zone where they can work without much stress. With this context, we have converted the research problems in Topology into programming language with the help of Python. In this paper, we have developed a Python program to find the weaker form of closed sets namely alpha closed set, semi closed set, pre closed set, beta closed set and regular closed set.

LOCAL SPECTRAL PROPERTIES OF SEMI-SHIFTS

  • Yoo, Jong-Kwang;Kim, Yong-Il
    • Journal of applied mathematics & informatics
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    • 제28권1_2호
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    • pp.499-507
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    • 2010
  • In this note, we study the local spectral properties of semi-shifts. If $T\;{\in}\;L(X)$ is a semi-shift on a complex Banach space X, then T is admissible. We also prove that if $T\;{\in}\;L(X)$ is subadmissible, then $X_T(F)\;=\;E_T(F)$ for all closed $F\;{\subseteq}\;\mathbb{C}$. In particular, every subscalar operator on a Banach space is admissible.

DIFFERENTIAL EQUATIONS ON CLOSED SUBSETS OF A PROBABILISTIC NORMED SPACE

  • Kim, Jong-Kyu;Jin, Byoung-Jae
    • Journal of applied mathematics & informatics
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    • 제5권1호
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    • pp.223-233
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    • 1998
  • This paper is concerned with the problem of existence of solutions to the initial value problem u'(t) = A(t, u(t)), u(a) = z in a probabilistic normed space where $A : [a,b)\;{\times}\;D->E$ is continuous, D is a closed subset of a probabilistic normed space E, and $z\;{\in}\;D$. With a dissipative type condition on A, we estabilish sufficient conditions for this initial value problem to have a solution.

S-closed 공간(空間)과 RC 수렴(收斂)에 관하여 (A Note on S-closed Space and RC-convergence.)

  • 한천호
    • 산업기술연구
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    • 제5권
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    • pp.47-49
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    • 1985
  • Semi-open을 기초로 하여 만들어진 S-closed 공간의 일반적인 성질을 살펴보고 S-closed 공간과 (maximum) filterbase와의 관계를 조사하였다. 이를 바탕으로 regular closed된 cover C, regular open set인 족(族) C, rc-accumulation, (maximum) filterbase에서의 관계(關係)를 살펴 보았다. Mapping theory에서 almost-open almost-continuous map f가 almost continuous되는 것을 보였다.

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ON THE SEMI CONTINUOUS FUNCTIONS WITH THE OPEN PROPERTY

  • Kim, Seungwook
    • Korean Journal of Mathematics
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    • 제13권2호
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    • pp.241-248
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    • 2005
  • Some of the generalized continuous functions and their basic properties are introduced in concern with the cover theory. The open property of a function is a crucial tool for the survey of this area.

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VARIATION OF ORBIT-COINCIDENCE SETS

  • Srivastava, Anjali
    • 충청수학회지
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    • 제15권1호
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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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