• 제목/요약/키워드: E.A. property

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ON SPACES IN WHICH THE THREE MAIN KINDS OF COMPACTNESS ARE EQUIVALENT

  • Hong, Woo-Chorl
    • 대한수학회논문집
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    • 제25권3호
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    • pp.477-484
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    • 2010
  • In this paper, we introduce a new property (*) of a topological space and prove that if X satisfies one of the following conditions (1) and (2), then compactness, countable compactness and sequential compactness are equivalent in X; (1) Each countably compact subspace of X with (*) is a sequential or AP space. (2) X is a sequential or AP space with (*).

REMARKS ON CERTAIN NOTED COINCIDENCE THEOREMS: A UNIFYING AND ENRICHING APPROACH

  • Alam, Aftab;Hasan, Mohd.;Imdad, Mohammad
    • Nonlinear Functional Analysis and Applications
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    • 제26권5호
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    • pp.1059-1075
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    • 2021
  • In this paper, we unify and enrich the well-known classical metrical coincidence theorems on a complete metric space due to Machuca, Goebel and Jungck. We further extend our newly proved results on a subspace Y of metric space X, wherein X need not be complete. Finally, we slightly modify the existing results involving (E.A)-property and (CLRg)-property and apply these results to deduce our coincidence and common fixed point theorems.

Code Construction Methods for Error Discriminating and Unidirectional Error Control Codes

  • Ahn Tae Nam;Sakaniwa Kohichi;Rao T. R. N.
    • 한국국방경영분석학회지
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    • 제15권2호
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    • pp.56-77
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    • 1989
  • A new concept, namely the error discrimination of a code defined as the capability to not only detect errors from two distinct error sets but also to distinguish between them has been introduced in [SAKA 89a]. Consider $E_+\;and\;E_-$ as the two distinct error sets, namely the positive error set and the negative error set respectively. If a code C is not only capable of detecting any error e in {$E_+,\;E_-$}, but also able to identify the error set to which e belongs then the code is said to be an $E_+\;&\;E_-$ error discriminating code. The error discriminating property enables construction of unidirectional error detecting/correcting codes using asymmetric error control code. We derive here theory for asymmetric t error correcting and d error detecting codes. Furthermore, unidirectional error control code construction methods are introduced using asymmetric error control codes and $E_+\;&\;E_-$ error discriminating codes.

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OSCILLATION AND NONOSCILLATION THEOREMS FOR NONLINEAR DIFFERENTIAL EQUATIONS OF SECOND ORDER

  • Kim, Rak-Joong;Kim, Dong-Il
    • 대한수학회지
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    • 제44권6호
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    • pp.1453-1467
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    • 2007
  • By means of a Riccati transform some oscillation or nonoscillation criteria are established for nonlinear differential equations of second order $$(E_1)\;[p(t)|x#(t)|^{\alpha}sgn\;x#(t)]#+q(t)|x(\tau(t)|^{\alpha}sgn\;x(\tau(t))=0$$. $$(E_2),\;(E_3)\;and\;(E_4)\;where\;0<{\alpha}$$ and $${\tau}(t){\leq}t,\;{\tau}#(t)>0,\;{\tau}(t){\rightarrow}{\infty}\;as\;t{\rightarrow}{\infty}$$. In this paper we improve some previous results.

SAMPLE PATH PROPERTY OF CHENTSOV FIELDS

  • Kim, Joo-Mok
    • 충청수학회지
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    • 제11권1호
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    • pp.35-44
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    • 1998
  • Let {X(t), $t{\in}\mathbb{R}^n$} be a $S{\alpha}S$ H-sssis Chentsov random field with control measure m. We consider a geometric construction for L$\acute{e}$vy-Chentsov random fields and Takenaka random fields. Finally, we proved some property of conjugate classes and a.s. H$\ddot{o}$lder unboundedness of $S{\alpha}S$ H-sssis Chentsov random fields for all order ${\gamma}$ > H.

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연교 추출물의 Microglia에서 LPS에 의해 유도되는 염증매개물질 생성 억제 효과 (Ethanol Extract of Forsythiae Fructus Inhibits the Production of Inflammatory Mediators in LPS-stimulated BV-2 Microglial Cells)

  • 김성윤;박용기
    • 대한본초학회지
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    • 제23권3호
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    • pp.93-102
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    • 2008
  • Objectives : Forsythiae Fructus (Forsythia koreana Nakai) has been used anti-inflammatory, diuretics, antidote, and antibacterials in traditional herbal medicine. The present study is focused on the inhibitory effect of Forsythiae Fructus ethanol extract (FF-E) on the production of inflammatory mediators such as NO, iNOS and proinflammatory cytokines ($TNF-{\alpha}$, $IL-1{\beta}$ and IL-6) in LPS-stimulated BV-2 cells, a mouse microglial cell line, and investigated the scavenging activity of FF-E. Methods : BV-2 cells were pre-incubated with FF-E for 30 min and then stimulated with LPS (1 ${\mu}g/m{\ell}$) at indicated times. Cell toxicity of GCF was determined by MTT assay. The levels of NO, PGE2 and cytokines were measured by Griess assay and ELISA. The mRNA and protein expressions of iNOS and cytokines were determined by RT-PCR and Western blotting. Free radical scavenging activity of GCF was determined by DPPH assay in tube test. Results : FF-E significantly inhibited the excessive production of NO, $PGE_2$, $TNF-{\alpha}$, and $IL-1{\beta}$ in LPS-stimulated BV-2 cells. In addition, FF-E attenuated the mRNA and protein expressions of iNOS, and proinflammatory cytokines. FF-E also significantly scavenged the DPPH free radicals in a dose-dependent manner. Conclusions : These results indicate that FF-E exhibits anti-inflammatory property by suppressing the transcription of inflammatory mediator genes, suggesting the anti-inflammatory property of FF-E may make it useful as a therapeutic agent for the treatment of human neurodegenerative diseases.

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대조주제의 주제성과 초점성 (Topicality and Focality of Contrastive Topic)

  • 위혜경
    • 한국언어정보학회지:언어와정보
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    • 제14권2호
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    • pp.47-70
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    • 2010
  • This study investigates the semantic and prosodic properties of the so-called contrastive topic. We posit two informational primitives, namely, topical feature [+-T] and focal feature [+-F], from which four different informational categories, i.e., [+T, +F], [+T, -F], [-T, +F], and [-T, -F], are yielded. It is proposed that the informational category of contrastive topic has focal property [+F] as well as topical property [+T]. Based on the semantic approach that regards the function of [+F] as identificational predication and that of [+T] as forming a semantic conditional clause, it is shown that the semantic function of contrastive topic, which is specified as [+T, +F], is the combination of these two functions, i.e., identificational predication in a semantic conditional clause. This is supported by a scrutinized exploration of the prosodic pattern of English contrastive topic.

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유도광선변화에 따른 건식중합과 마이크로파중합 아크릴레진의 물리적 성질영향 (Physical Properties Effect of Dry-Heat and Microwave-Cured Acrylic Resins depending on the Irradiation-Induced Changes)

  • 김규리
    • 한국산학기술학회논문지
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    • 제16권7호
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    • pp.4388-4397
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    • 2015
  • 이 연구는 아크릴 수지의 유도광선변화에 따른 속성 변화를 연구하여 최적의 특성을 가진 아크릴 수지를 개발할 수 있도록 건열 및 마이크로파 경화 의치상 아크릴 수지의 향상된 물성에 대한 연구이다. 굽힘강도와 경도, 색차를 관찰한 결과 Vertex RS 및 Paladent 20는 건식 열 경화 시편 5, 15, 25 kGy의 조사에 이상적인 속성을 보였다. 마이크로 웨이브 경화에서는 5 kGy의 조사에서 이상적인 속성을 보였다. 상관관계 분석은 ARD와 굴곡 강도 (0 418), E 계수 (0.675), 및 바콜 경도 (0 588) 사이의 긍정적인 상관관계를 보여 주었다. 방사선 경화형 기술은 고분자 복합 재료의 제작으로 인한 오염 문제를 완화하는 데 도움이 될 수 있으며 고분자의 가공성에 영향을 주지 않고 자외선 경화 기술과 나노 기술 융합 및 기계적 특성의 향상에 크게 기여할 수 있다.