• 제목/요약/키워드: T-open set

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L-pre-separation axioms in (2, L)-topologies based on complete residuated lattice-valued logic

  • Zeyada, Fathei M.;Abd-Allahand, M. Azab;Mousa, A.K.
    • International Journal of Fuzzy Logic and Intelligent Systems
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    • 제9권2호
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    • pp.115-127
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    • 2009
  • In the present paper we introduce and study L-pre-$T_0$-, L-pre-$T_1$-, L-pre-$T_2$ (L-pre-Hausdorff)-, L-pre-$T_3$ (L-pre-regularity)-, L-pre-$T_4$ (L-pre-normality)-, L-pre-strong-$T_3$-, L-pre-strong-$T_4$-, L-pre-$R_0$-, L-pre-$R_1$-separation axioms in (2, L)-topologies where L is a complete residuated lattice.Sometimes we need more conditions on L such as the completely distributive law or that the "$\bigwedge$" is distributive over arbitrary joins or the double negation law as we illustrate through this paper. As applications of our work the corresponding results(see[1,2]) are generalized and new consequences are obtained.

APPROXIMATE CONVEXITY WITH RESPECT TO INTEGRAL ARITHMETIC MEAN

  • Zoldak, Marek
    • 대한수학회보
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    • 제51권6호
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    • pp.1829-1839
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    • 2014
  • Let (${\Omega}$, $\mathcal{S}$, ${\mu}$) be a probabilistic measure space, ${\varepsilon}{\in}\mathbb{R}$, ${\delta}{\geq}0$, p > 0 be given numbers and let $P{\subset}\mathbb{R}$ be an open interval. We consider a class of functions $f:P{\rightarrow}\mathbb{R}$, satisfying the inequality $$f(EX){\leq}E(f{\circ}X)+{\varepsilon}E({\mid}X-EX{\mid}^p)+{\delta}$$ for each $\mathcal{S}$-measurable simple function $X:{\Omega}{\rightarrow}P$. We show that if additionally the set of values of ${\mu}$ is equal to [0, 1] then $f:P{\rightarrow}\mathbb{R}$ satisfies the above condition if and only if $$f(tx+(1-t)y){\leq}tf(x)+(1-t)f(y)+{\varepsilon}[(1-t)^pt+t^p(1-t)]{\mid}x-y{\mid}^p+{\delta}$$ for $x,y{\in}P$, $t{\in}[0,1]$. We also prove some basic properties of such functions, e.g. the existence of subdifferentials, Hermite-Hadamard inequality.

과학기술 지식인프라 통합 아키텍처 설계방법론 (Design Methodology of Integrated Architecture for S&T Knowledge Infrastructure)

  • 강윤희;김영철
    • Journal of Platform Technology
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    • 제6권3호
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    • pp.31-37
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    • 2018
  • 최근 오픈 사이언스를 위한 플랫폼 개발이 국내외적으로 이루어지고 있으며, 과학기술 지식인프라의 데이터 처리 및 서비스 운영을 분석하여 과학기술 지식인프라의 성과확산을 위한 시스템 개발에 대한 요구가 증가하고 있다. 이 논문은 과학 기술 분야의 지식인프라를 위한 통합 아키텍처 설계 방법론을 도출하고 통합 아키텍처에서 데이터와 서비스의 통합수준 및 연계를 설정하는 그 방안을 제시한다. 연구 전과정에서 오픈 사이언스를 활용하기 위해서는 개별 서비스를 모듈 및 독립적인 기능 블록으로 구성하여 재사용 및 상호 운영될 수 있어야 한다. 이를 위해 제안된 설계 방법론은 과학기술 지식 인프라의 통합 서비스를 위한 서비스 통합을 다루기 위해 사용하며, 이는 다분야의 협력 참여연구자 및 엔지니어의 계산 수행 결과 및 산출물의 솔기없는 접근을 지원할 수 있다.

임베디드 프로세서의 캐시와 파이프라인 구조개선 및 저전력 설계 (Cache and Pipeline Architecture Improvement and Low Power Design of Embedded Processor)

  • 정홍균;류광기
    • 한국정보통신학회:학술대회논문집
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    • 한국해양정보통신학회 2008년도 추계종합학술대회 B
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    • pp.289-292
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    • 2008
  • 본 논문에서는 OpenRISC 프로세서의 성능 및 전력 소모 개선을 위해 동적 분기예측 기법, 사원 집합연관 캐시 구조, ODC를 이용한 클럭 게이팅 기법을 제안한다. 동적 분기 예측 기법은 분기 명령에 대해 다음에 실행될 명령에 대한 예측 주소를 저장하는 BTB를 사용하였다. 사원 집합연관 캐시는 네 개의 메모리 블록을 한 개의 캐시 블록에 사상되는 구조로 되어있어 직접사상 캐시에 비해 접근 실패율이 낮다. ODC를 이용한 클럭게이팅 기법은 논리합성 개념인 무관조건의 입출력 ODC조건을 찾아 클럭 게이팅 로직을 삽입함으로써 동적 소비전력을 줄일 수 있다. 테스트 프로그램을 이용하여 제안한 기법들을 적용한 OpenRISC 프로세서의 성능을 측정한 결과, 기존 프로세서 대비실행시간이 8.9% 향상 되었고, 삼성 $0.18{\mu}m$ 라이브러리를 이용하여 동적 전력을 측정한 결과, 기존 프로세서 대비 소비전력을 13.9% 이상 감소하였다.

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Ptr,s)-CLOSED SPACES AND PRE-(ωr,s)t-θf-CLUSTER SETS

  • Afsan, Bin Mostakim Uzzal;Basu, Chanchal Kumar
    • 대한수학회논문집
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    • 제26권1호
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    • pp.135-149
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    • 2011
  • Using (r, s)-preopen sets [14] and pre-${\omega}_t$-closures [6], a new kind of covering property $P^t_{({\omega}_r,s)}$-closedness is introduced in a bitopological space and several characterizations via filter bases, nets and grills [30] along with various properties of such concept are investigated. Two new types of cluster sets, namely pre-(${\omega}_r$, s)t-${\theta}_f$-cluster sets and (r, s)t-${\theta}_f$-precluster sets of functions and multifunctions between two bitopological spaces are introduced. Several properties of pre-(${\omega}_r$, s)t-${\theta}_f$-cluster sets are investigated and using the degeneracy of such cluster sets, some new characterizations of some separation axioms in topological spaces or in bitopological spaces are obtained. A sufficient condition for $P^t_{({\omega}_r,s)}$-closedness has also been established in terms of pre-(${\omega}_r$, s)t-${\theta}_f$-cluster sets.

Seismic evaluation and upgrading of RC buildings with weak open ground stories

  • Antonopoulos, T.A.;Anagnostopoulos, S.A.
    • Earthquakes and Structures
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    • 제3권3_4호
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    • pp.611-628
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    • 2012
  • The inelastic earthquake response of existing, reinforced concrete buildings with an open ground story, designed according to the old Greek codes, is investigated before and after their seismic strengthening with steel braces restricted to the open ground stories. The seismic performance evaluation is based on Part 3 of Eurocode 8 for assessment and retrofitting of buildings. Three and five-story, symmetric and non-symmetric buildings are subjected to a set of seven pairs of synthetic accelerograms, compatible with the design spectrum, and conclusions are drawn regarding the effectiveness of the strengthening solutions. Seismic behavior of the selected models confirms results of previous work regarding the insufficient capacity of the open ground stories for design level earthquakes. It is also shown that strengthening only the weak ground story, a choice having the substantial advantage of low cost and continued usage of the building during its seismic retrofitting, can remove the inherent weakness without shifting the problem to the stories above and thus making such buildings at least as strong as those without a weak first story. This partial strengthening is possible for symmetric as well as eccentric buildings, in which torsion plays a further detrimental role.

AN ERROR ANALYSIS OF THE DISCRETE GALERKIN SCHEME FOR NONLINEAR INTEGRAL EQUATIONS

  • YOUNG-HEE KIM;MAN-SUK SONG
    • 대한수학회논문집
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    • 제9권2호
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    • pp.423-438
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    • 1994
  • We employ the Galerkin method to solve the nonlinear Urysohn integral equation (1.1) x(t) = f(t) + $∫_{D}$ k(t, s, x(s))ds (t $\in$ D), where D is a bounded domain in $R^{d}$ , the function f and k are known and x is the solution to be determined. We assume that D has a locally Lipschitz boundary ([1, p. 67]). We can rewrite (1.1) in operator notation as x = f + Kx. We consider (1.1) as an operator equation on $L_{\infty$}$(D) and assume that K is defined on the closure $\Omega$ of a bounded open set $\Omega$$L_{\infty}$(D). Throughout our analysis we put the following assumptions on (1.1).(omitted)(1.1).(omitted)

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A GENERIC RESEARCH ON NONLINEAR NON-CONVOLUTION TYPE SINGULAR INTEGRAL OPERATORS

  • Uysal, Gumrah;Mishra, Vishnu Narayan;Guller, Ozge Ozalp;Ibikli, Ertan
    • Korean Journal of Mathematics
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    • 제24권3호
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    • pp.545-565
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    • 2016
  • In this paper, we present some general results on the pointwise convergence of the non-convolution type nonlinear singular integral operators in the following form: $$T_{\lambda}(f;x)={\large\int_{\Omega}}K_{\lambda}(t,x,f(t))dt,\;x{\in}{\Psi},\;{\lambda}{\in}{\Lambda}$$, where ${\Psi}$ = and ${\Omega}$ = stand for arbitrary closed, semi-closed or open bounded intervals in ${\mathbb{R}}$ or these set notations denote $\mathbb{R}$, and ${\Lambda}$ is a set of non-negative numbers, to the function $f{\in}L_{p,{\omega}}({\Omega})$, where $L_{p,{\omega}}({\Omega})$ denotes the space of all measurable functions f for which $\|{\frac{f}{\omega}}\|^p$ (1 ${\leq}$ p < ${\infty}$) is integrable on ${\Omega}$, and ${\omega}:{\mathbb{R}}{\rightarrow}\mathbb{R}^+$ is a weight function satisfying some conditions.

Dynamic Service Composition and Development Using Heterogeneous IoT Systems

  • Ryu, Minwoo;Yun, Jaeseok
    • 한국컴퓨터정보학회논문지
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    • 제22권9호
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    • pp.91-97
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    • 2017
  • IoT (Internet of Things) systems are based on heterogeneous hardware systems of different types of devices interconnected each other, ranging from miniaturized and low-power wireless sensor node to cloud servers. These IoT systems composed of heterogeneous hardware utilize data sets collected from a particular set of sensors or control designated actuators when needed using open APIs created through abstraction of devices' resources associated to service applications. However, previously existing IoT services have been usually developed based on vertical platforms, whose sharing and exchange of data is limited within each industry domain, for example, healthcare. Such problem is called 'data silo', and considered one of crucial issues to be solved for the success of establishing IoT ecosystems. Also, IoT services may need to dynamically organize their services according to the change of status of connected devices due to their mobility and dynamic network connectivity. We propose a way of dynamically composing IoT services under the concept of WoT (Web of Things) where heterogeneous devices across different industries are fully integrated into the Web. Our approach allows developers to create IoT services or mash them up in an efficient way using Web objects registered into multiple standardized horizontal IoT platforms where their resources are discoverable and accessible. A Web-based service composition tool is developed to evaluate the practical feasibility of our approach under real-world service development.

Effects of Transcranial Direct Current Stimulation on the Static Balance Ability of Patients with Back Pain

  • Oh, Seung Keun;Kim, Yong Nam
    • The Journal of Korean Physical Therapy
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    • 제31권5호
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    • pp.328-332
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    • 2019
  • Purpose: This study examined the effects of transcranial direct current stimulation (tDCS) on the static balance ability of patients with back pain. Methods: The subjects comprised of 30 males and females in their 20s, who were divided into two groups with and without tDCS. The balance posture ratio score was calculated to determine the changes in balance ability before and after the application of tDCS using balance equipment. A paired t-test was conducted to determine the changes over time, and an independent t-test was performed to determine the changes between the groups. The significance level was set to ${\alpha}=0.05$. Results: A significant difference in the changes in the static balance ability of CTDCSG between before and after applying tDCS was observed while the subjects' eyes were open (p<0.05). A comparison between the groups after the experiments revealed significantly increased changes in CTDCSG compared to STDCSE (p<0.05). The changes in static balance ability were not significant when the subjects' eyes were closed (p>0.05). Conclusion: The application of tDCS positively changed the static balance ability of patients with back pain. The results of this study showed that tDCS could be used as an intervention to increase the static balance ability of patients with back pain in the clinical field. The study results could be used further as foundational data for future studies on tDCS.