• Title/Summary/Keyword: super-continuity

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ON SUPER CONTINUOUS FUNCTIONS

  • Baker, C.W.
    • Bulletin of the Korean Mathematical Society
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    • v.22 no.1
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    • pp.17-22
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    • 1985
  • B.M. Munshi and D.S. Bassan defined and developed the concept of super continuity in [5]. The concept has been investigated further by I. L. Reilly and M. K. Vamanamurthy in [6] where super continuity is characterized in terms of the semi-regularization topology. Super continuity is related to the concepts of .delta.-continuity and strong .theta.-continuity developed by T. Noiri in [7]. The purpose of this note is to derive relationships between super continuity and other strong continuity conditions and to develop additional properties of super continuous functions. Super continuity implies continuity, but the converse implication is false [5]. Super continuity is strictly between strong .theta.-continuity and .delta.-continuity and strictly between complete continuity and .delta.-continuity. The symbols X and Y will denote topological spaces with no separation axioms assumed unless explicity stated. The closure and interior of a subset U of a space X will be denoted by Cl(U) and Int(U) respectively and U is said to be regular open (resp. regular closed) if U=Int[Cl(U) (resp. U=Cl(Int(U)]. If necessary, a subscript will be added to denote the space in which the closure or interior is taken.

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SOME STRONG FORMS OF (g,g')-CONTINUITY ON GENERALIZED TOPOLOGICAL SPACES

  • Min, Won-Keun;Kim, Young-Key
    • Honam Mathematical Journal
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    • v.33 no.1
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    • pp.85-91
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    • 2011
  • We introduce and investigate the notions of super (g,g')-continuous functions and strongly $\theta$(g,g')-continuous functions on generalized topological spaces, which are strong forms of (g,g')-continuous functions. We also investigate relationships among such the functions, (g,g')-continuity and (${\delta},{\delta}'$)-continuity.

Fuzzy semi-regular spaces and fuzzy $\delta$-continuous functions

  • Kim, Yong-Chan;Ko, Jung-Mi
    • International Journal of Fuzzy Logic and Intelligent Systems
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    • v.1 no.1
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    • pp.69-74
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    • 2001
  • We introduce fuzzy semi-regular spaces. Furthermore, we investigate the relations among fuzzy super continuity, fuzzy $\delta$-continuity and fuzzy almost continuity in fuzzy topological spaces in view of the definition of Sostak. We study some properties between them.

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A Study on the Channel Handover Method for Super Wi-Fi Service Continuity in TV White Spaces (Super Wi-Fi 환경에서 서비스 연속성을 위한 끊김없는 채널이동 방안 연구)

  • Kim, Myeongyu;Jeon, Youchan;Park, Sangwon;Park, Jinwoo
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.37B no.11
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    • pp.1050-1057
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    • 2012
  • Super Wi-Fi is a newly emerging wireless Internet technology, which constitutes Wi-Fi networks using TV white space. A key technical challenge in the Super Wi-Fi applications is how to provide a seamless Internet service even when a Super WiFi user should give up the channel in use to the active incumbent user which is activated in the same service area, preventing from the service continuity in Super Wi-Fi. In this paper, we propose a channel handover method to support service continuity of Super Wi-Fi, in which an AP selects a new operational channel and provides the channel information for MSs. Therefore, the AP and the MSs can carry out seamless handover for Super Wi-Fi service. A performance evaluation shows that the proposed scheme is superior to the conventional Wi-Fi in channel mobility delay.

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.

R(g, g')-CONTINUITY ON GENERALIZED TOPOLOGICAL SPACES

  • Kim, Young-Key;Min, Won-Keun
    • Communications of the Korean Mathematical Society
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    • v.27 no.4
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    • pp.809-813
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    • 2012
  • We introduce the notion of R($g$, $g^{\prime}$)-continuity on generalized topological spaces, which is a strong form of ($g$, $g^{\prime}$)-continuity. We investigate some properties and relationships among R($g$, $g^{\prime}$)-continuity, ($g$, $g^{\prime}$)-continuity and some strong forms of ($g$, $g^{\prime}$)-continuity.

CONTINUITY OF AN APPROXIMATE JORDAN MAPPING

  • Lee, Young-Whan
    • Communications of the Korean Mathematical Society
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    • v.20 no.3
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    • pp.505-509
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    • 2005
  • We show that every $\varepsilon-approximate$ Jordan functional on a Banach algebra A is continuous. From this result we obtain that every $\varepsilon-approximate$ Jordan mapping from A into a continuous function space C(S) is continuous and it's norm less than or equal $1+\varepsilon$ where S is a compact Hausdorff space. This is a generalization of Jarosz's result [3, Proposition 5.5].

A Study on Nurturing Korean Star Character by Analysis of Nintendo Super Mario Character Transition - Focusing on Robot Taekwon V - (닌텐도 '슈퍼마리오' 캐릭터 변천 분석에 따른 한국형 스타캐릭터 육성에 관한 연구 - 로봇태권 V를 중심으로 -)

  • Tak, Yeon-Suk
    • Journal of Korea Multimedia Society
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    • v.22 no.3
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    • pp.395-402
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    • 2019
  • Star characters play a key role in the background of contents that secure global competitiveness. In this study, we study the growth factors and transitional forms of Nintendo Super Mario Bros. and suggest the direction of nurturing Korean star characters. As a result of the analysis of Super Mario Bros., it was possible to derive the growth factors of Originality, repeatability, Continuity, Pertain, and Star Fame and the transition result of step development method. Robot Taekwon V was presented as a reference model while Korean game characters with global competitiveness were excavated. Robot Taekwon V, which combines the features of friendly, unique, symbolism, and narrative, could be used to present a development model of the type of jump development. In the jump development model, character development and Upbringing, diversification of genre, pioneering of new markets combined with new technology, and fostering of characters through linkage with other industries were presented.

The Research and Application of Innovative High Efficient Construction Technologies in Super High Rise Steel Structure Building

  • Dai, Lixian;Liao, Biao
    • International Journal of High-Rise Buildings
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    • v.3 no.3
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    • pp.205-214
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    • 2014
  • The super high rise building construction is characterized by a large quantity of engineering works and structural components, high demanding of construction technology and complex cross operations. As the height of super high rise building increases, the construction difficulties increase, it is challenging the steel structural building construction technology. In this paper, the key technologies in the construction of Chinese modern super high rise steel structure building have been studied. The innovative tower crane supporting frame suspension disassembly technology has been developed to allow the crane supporting frame to turnover in the air without occupying materials stockyard. A new self-elevating platform technique which is capable of striding over structural barriers has been developed. This new technology allows the platform to be self-elevated along variable cross section column with a maximum 600 mm size change. A new automatic submerged arc welding technology has also been developed to ensure the process continuity and quality stability of welding job on the construction site.

Structural Design of Nakanoshima Festival Tower West that Achieved High-Grade Seismic Performance

  • Kumano, Takehito;Yoshida, Satoshi;Saburi, Kazuhiro
    • International Journal of High-Rise Buildings
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    • v.6 no.3
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    • pp.217-226
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    • 2017
  • This paper summarizes the structural concept and design of the "Nakanoshima Festival Tower West" in Osaka, Japan, which is 200m high and has a super-high damping system. Its superstructure is mainly composed of a central core and outer tube frames. It has a bottom truss structure at the boundary between the low-rise and mid-rise sections of the building, where the column arrangement is changed. Besides, the high-rise section of the building has a neck truss structure. These truss structures smoothly transfer the axial forces of the columns and reduce the flexural deformations induced by horizontal loads. Oil dampers with extremely high damping capacity are installed in the rigid walls named the "Big Wall Frames" of the low-rise section. Moreover, many braces and damping devices are well arranged in the center core of each story. The damping effects of these devices ensure that all structural members are remain within the elastic range and that story drifts are within 1/150 in large earthquakes. This super-high damping structure in the low-rise section is named the "Damping Layer". The whole structural system is named the "Super Damping Structure". The whole structural systems enhance the building's safety, comfort and Business Continuity Planning (BCP) under large earthquakes.