• Title/Summary/Keyword: open set

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A NEW TOPOLOGY FROM AN OLD ONE

  • Darwesh, Halgwrd Mohammed
    • Journal of the Chungcheong Mathematical Society
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    • v.25 no.3
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    • pp.401-413
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    • 2012
  • In the present paper we construct and introduce a new topology from an old one which are independent each of the other. The members of this topology are called ${\omega}_{\delta}$-open sets. We investigate some basic properties and their relationships with some other types of sets. Furthermore, a new characterization of regular and semi-regular spaces are obtained. Also, we introduce and study some new types of continuity, and we obtain decompositions of some types of continuity.

CONVEX SOLUTIONS OF THE POLYNOMIAL-LIKE ITERATIVE EQUATION ON OPEN SET

  • Gong, Xiaobing
    • Bulletin of the Korean Mathematical Society
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    • v.51 no.3
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    • pp.641-651
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    • 2014
  • Because of difficulty of using Schauder's fixed point theorem to the polynomial-like iterative equation, a lots of work are contributed to the existence of solutions for the polynomial-like iterative equation on compact set. In this paper, by applying the Schauder-Tychonoff fixed point theorem we discuss monotone solutions and convex solutions of the polynomial-like iterative equation on an open set (possibly unbounded) in $\mathbb{R}^N$. More concretely, by considering a partial order in $\mathbb{R}^N$ defined by an order cone, we prove the existence of increasing and decreasing solutions of the polynomial-like iterative equation on an open set and further obtain the conditions under which the solutions are convex in the order.

Cache Architecture Design for the Performance Improvement of OpenRISC Core (OpenRISC 코어의 성능향상을 위한 캐쉬 구조 설계)

  • Jung, Hong-Kyun;Ryoo, Kwang-Ki
    • Journal of the Institute of Electronics Engineers of Korea SD
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    • v.46 no.1
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    • pp.68-75
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    • 2009
  • As the recent performance of microprocessor is improving quickly, the necessity of cache is growing because of the increase of the access time of main memory. Every block of direct-mapped cache maps to one cache line. Although the mapping rule is simple, if different blocks map to one cache line, the miss ratio will be higher than the set-associative cache due to conflicts. In this paper, for the improvement of the direct-mapped cache of OpenRISC, 4-way set-associative cache is proposed. Four blocks of the main memory of the proposed cache map to one cache line so that the miss ratio is less than the direct-mapped cache. Pseudo-LRU Policy, which is one of the Line Replacement Policies, is used for decreasing the number of bits that store LRU value. The OpenRISC core including the 4-way set-associative cache was verified with FPGA emulation. As the result of performance measurement using test program, the performance of the OpenRISC core including the 4-way set-associative cache is higher than the previous one by 50% and the decrease of miss ratio is more than 15%.

FUZZY ωO-OPEN SETS

  • Al-Hawary, Talal
    • Bulletin of the Korean Mathematical Society
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    • v.45 no.4
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    • pp.749-755
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    • 2008
  • In this paper, we introduce the relatively new notion of fuzzy ${\omega}^O$-open set. We prove that the collection of all fuzzy ${\omega}^O$-open subsets of a fuzzy topological space forms a fuzzy topology that is finer than the original one. Several characterizations and properties of this class are also given as well as connections to other well-known "fuzzy generalized open" subsets.

Fuzzy γ-Quasi Open Set and Fuzzy γ-Quasi Continuity

  • Min, Won-Keun
    • International Journal of Fuzzy Logic and Intelligent Systems
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    • v.10 no.3
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    • pp.200-202
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    • 2010
  • In this paper, we introduce the concept of fuzzy ${\gamma}$-quasi open sets which are generalizations of fuzzy ${\gamma}$-open sets, and obtain some basic properties of such fuzzy sets. Also we introduce and study the concepts of fuzzy ${\gamma}$-quasi continuous mapping and fuzzy ${\gamma}$-quasi open(closed) mapping.

A NOTE ON SPACES WHICH HAVE COUNTABLE TIGHTNESS

  • Hong, Woo-Chorl
    • Communications of the Korean Mathematical Society
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    • v.26 no.2
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    • pp.297-304
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    • 2011
  • In this paper, we introduce closure operators [${\cdot}$]c and [${\cdot}$]a on a space and study some relations among [${\cdot}$]c, [${\cdot}$]a and countable tightness. We introduce the concepts of a strongly sequentially closed set and a strongly sequentially open set and show that a space X has countable tightness if and only if every strongly sequentially closed set is closed if and only if every strongly sequentially open set is open. Finally we find a generalization of the weak Fr$\'{e}$chet-Urysohn property which is equivalent to countable tightness.

Some Fuzzy Closed Sets and Fuzzy Approximately Continuous Mappings

  • Ahn, Y.S.;Hur, K.;Ryou, J.H.
    • Journal of the Korean Institute of Intelligent Systems
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    • v.11 no.2
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    • pp.184-189
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    • 2001
  • First, we find the characterization of fg-closure of a fuzzy set. Second, we study some properties of frg-closeds and fg-continuous mappings. Finaly, we introduce the concept of a fuzzy approximately continuous mapping and study its properties.

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A Study on the Spatial Characteristic of Yokohama Foreign Concession in the end of 19th Century (19세기 말 요코하마 외국인거류지의 공간특성 연구)

  • Song, Hye-Young;Kim, Do-Yeon;Yoo, Jae-Woo
    • Journal of the Architectural Institute of Korea Planning & Design
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    • v.34 no.1
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    • pp.63-70
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    • 2018
  • The foreign concession of Yokohama was the first downtown formed through the open port of Yokohama. It became a stepping stone to the center of the market economy. Yokohama was regarded as the turning point of modernization in Japanese history and it reached the high light of modern city in Japan. In the nineteenth century the term "open port" which occurred in East Asia was directly connected with modernization. Nevertheless, there is not many researches on architectural history about the central space of the open port city. As the method of research, we examine the parcels and spatial changes that are based on the contents of maps and pictures in terms of architectural history. For the foreign concession that was set up in Yokohama and the first open port in Japan, the spatial scope was set for certain and the temporal range was also set from the setting of the concession in 1859 to the abolition in 1899. The purpose of this study is to consider the future research related to the study of the open port city from the perspective of comparative historical research.

INTRODUCTION TO OPENFOAM: OPEN SOURCE SOFTWARE (Source 공개 코드 OpenFOAM 소개)

  • Park, J.K.;Kang, K.H.
    • 한국전산유체공학회:학술대회논문집
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    • 2010.05a
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    • pp.431-436
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    • 2010
  • Recently, several open source codes for computational fluid dynamics (CFD) have been emerged and are spreading fast. Our group has chosen OpenFOAM as a platform to develop our own in-house code. In this paper, we would like to share the information on the codes and what we have experienced so far. We introduce several features of OpenFOAM, which include the performance compared with commercial packages, estimation for current user population and our own prospect for future improvement in performance and growth in user population. In addition, we briefly introduce our experience gained in embedding the level set method into the OpenFOAM.

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REVIEW ON OPENFOAM - AN OPEN SOURCE SOFTWARE (Source 공개 코드 OpenFOAM에 대한 리뷰)

  • Park, J.K.;Kang, K.H.
    • Journal of computational fluids engineering
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    • v.15 no.3
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    • pp.46-53
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    • 2010
  • Recently, several open source codes for computational fluid dynamics (CFD) have been introduced and are spreading fast. Our group has chosen the OpenFOAM as a platform to develop our own in-house code. In this brief review, we would like to share the information on the codes and what we have experienced so far. We introduce several features of OpenFOAM, which include the performance compared with commercial packages, estimation for current user population, and our own prospect for future improvement in performance and growth in user population. In addition, we briefly introduce our experience gained in embedding the level set method into the OpenFOAM.