• 제목/요약/키워드: Convergence relation

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M-SCOTT CONVERGENCE AND M-SCOTT TOPOLOGY ON POSETS

  • Yao, Wei
    • 호남수학학술지
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    • 제33권2호
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    • pp.279-300
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    • 2011
  • For a subset system M on any poset, M-Scott notions, such as M-way below relation,M-continuity,M-Scott convergence (of nets and filters respectively) and M-Scott topology are proposed Any approximating auxiliary relation on a poset can be represented by an M-way below relation such that this poset is M-continuous. It is shown that a poset is M-continuous iff the M-Scott topology is completely distributive. The topology induced by the M-Scott convergence coincides with the M-Scott topology. If the M-way below relation satisfies the property of interpolation then a poset is M-continuous if and only if the M-Scott convergence coincides with the M-Scott topological convergence. Also, M-continuity is characterized by a certain Galois connection.

위상에 대한 교수학적 접근 -수렴성과 연속성을 중심으로- (Didactical Approach on Topology -Centered on convergence and continuity-)

  • 김진환
    • East Asian mathematical journal
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    • 제35권2호
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    • pp.239-257
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    • 2019
  • The purpose of this study is to show that the topology is closely related to some subjects learned in school mathematics and then to give motivations for learning of the topology. To do this, it is showed that the topology is an abstracted device that deal with structure of limit and continuity introduced in school mathematics. This study took a literature study. The results of this study are as follows. First, the formal definition of general topology to structure open sets was examined. The nearness relation together with the closure operation was introduced and used to characterize for construction of general topology. Second, as definitions for continuity of function, we considered the intuitive definition, definition, structured definitions using open intervals and definition using open sets and then we investigated their roles. We also examined equivalent definition using the nearness relation which is helpful to understand continuity of function. Third, the sequence and its limit are treated in terms of continuous functions having the set of natural numbers and its extended set as domains. From these, it can be concluded that the convergence of sequence and the continuity of function are identified as functions that preserve the nearness relation and that the topology is a specialized tool for dealing with convergence and continuity.

Analysis of In/Ga Inter-Diffusion Effect on the Thermodynamical Properties of InAs Quantum Dot

  • Abdellatif, M.H.;Song, Jin Dong;Lee, Donghan;Jang, Yudong
    • Applied Science and Convergence Technology
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    • 제25권6호
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    • pp.158-161
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    • 2016
  • Debye temperature is an important thermodynamical factor in quantum dots (QDs); it can be used to determine the degree of homogeneity of a QD structure as well as to study the interdiffusion mechanism during growth. Direct estimation of the Debye temperature can be obtained using the Varshni relation. The Varshni relation is an empirical formula that can interpret the change of emission energy with temperature as a result of phonon interaction. On the other hand, phonons energy can be calculated using the Fan Expression. The Fan expression and Varshni relation are considered equivalent at a temperature higher than Debye temperature for InAs quantum dot. We investigated InAs quantum dot optically, the photoluminescence spectra and peak position dependency on temperature has been discussed. We applied a mathematical treatment using Fan expression, and the Varshni relation to obtain the Debye temperature and the phonon energy for InAs quantum dots sample. Debye temperature increase about double compared to bulk crystal. We concluded that the In/Ga interdiffusion during growth played a major role in altering the quantum dot thermodynamical parameters.

Blind adaptive receiver for uplink multiuser massive MIMO systems

  • Shin, Joonwoo;Seo, Bangwon
    • ETRI Journal
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    • 제42권1호
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    • pp.26-35
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    • 2020
  • Herein, we consider uplink multiuser massive multiple-input multiple-output systems when multiple users transmit information symbols to a base station (BS) by applying simple space-time block coding (STBC). At the BS receiver, two detection filters for each user are used to detect the STBC information symbols. One of these filters is for odd-indexed symbols and the other for even-indexed symbols. Using constrained output variance metric minimization, we first derive a special relation between the closed-form optimal solutions for the two detection filters. Then, using the derived special relation, we propose a new blind adaptive algorithm for implementing the minimum output variance-based optimal filters. In the proposed adaptive algorithm, filter weight vectors are updated only in the region satisfying the special relation. Through a theoretical analysis of the convergence speed and a computer simulation, we demonstrate that the proposed scheme exhibits faster convergence speed and lower steady-state bit error rate than the conventional scheme.

선행하중(先行荷重)에 의한 점토(粘土)의 강도특성(强度特性) (Strength Characteristics of Clay Soil by Preconsolidation Pressure)

  • 전용백;신영기
    • 한국산업융합학회 논문집
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    • 제6권3호
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    • pp.185-192
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    • 2003
  • This study consolidation undrain Triaxial Compression Tests using constant confining pressure in clay that receive preconsolidation stress that is different and, void ratio, pore water pressure coefficient, shear strength compare with another thing theory and studied analyzing change relation of elastic modules. The summary of analysis is follows: If preconsolidation stress increases in same confining stress in relation of preconsolidation stress and deviator stress, deviator stress is proportional and increased. Can know that excess void pressure is proportional and decreases in size of preconsolidation stress in same confining stress state if preconsolidation stress increases preconsolidation stress and relation of excess void pressure. Also, over consolidated state can assume that this is thing by Dilatancy's effect though excess void pressure decreased remarkably. Preconsolidation stress and relation of stress path can know that shear strength degree increases preconsolidation stress increases, and specially, preconsolidation stress was appear in stress path form of overconsolidated state case of clay that receive at 300, 400, 500kPa in 100, 150kPa's deviator stress.

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기업설명회 개최가 기업의 재무비율에 미치는 융합연구 (A Convergence Study on the Effect of Investor Relation on Financial Ratios)

  • 지상현;이경락;이진수
    • 한국융합학회논문지
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    • 제8권1호
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    • pp.181-186
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    • 2017
  • 지금까지 기업설명회 관련 연구는 주로 기업설명회 개최 기업의 회계정책과 개최 효과에 대한 연구가 주를 이루었다. 그러나 아직까지 기업설명회 개최 기업의 재무성과, 즉 재무지표를 살펴본 연구는 진행되지 않고 있다. 이에 본 연구에서는 기업설명회 개최가 기업의 재무비율 지표에 미치는 영향을 검증하였다. 분석결과, 기업설명회 개최 기업이 그렇지 않은 기업에 비해 대체로 우수한 재무지표를 나타내는 것으로 보고되었다. 따라서 본 연구결과에 의하면 기업설명회 개최는 정보비대칭의 감소로 인한 기업가치 제고 효과뿐만 아니라 기업의 재무성과에도 일정 부분 긍정적인 영향을 미치는 것으로 판단된다. 따라서 이러한 결과는 우리나라 상장기업의 기업설명회 개최를 유인할 수 있는 하나의 근거자료가 될 수 있을 것으로 기대된다. 한편 본 연구는 최근 자발적 정보공시활동으로써 기업설명회 개최의 필요성 및 그 유용성에 대한 중요도가 높아지는 현 시점에서 시의적절하며 미약하나마 건전한 자본시장의 발전에도 도움이 될 것으로 기대할 수 있다.

Relation between Certainty and Uncertainty with Fuzzy Entropy and Similarity Measure

  • Lee, Sanghyuk;Zhai, Yujia
    • 한국융합학회논문지
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    • 제5권4호
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    • pp.155-161
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    • 2014
  • We survey the relation of fuzzy entropy measure and similarity measure. Each measure represents features of data uncertainty and certainty between comparative data group. With the help of one-to-one correspondence characteristics, distance measure and similarity measure have been expressed by the complementary characteristics. We construct similarity measure using distance measure, and verification of usefulness is proved. Furthermore analysis of similarity measure from fuzzy entropy measure is also discussed.

LACUNARY STATISTICAL CONVERGENCE FOR SEQUENCE OF SETS IN INTUITIONISTIC FUZZY METRIC SPACE

  • KISI, OMER
    • Journal of applied mathematics & informatics
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    • 제40권1_2호
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    • pp.69-83
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    • 2022
  • We investigate the concept of lacunary statistical convergence and lacunary strongly convergence for sequence of sets in intuitionistic fuzzy metric space (IFMS) and examine their characterization. We obtain some inclusion relation relating to these concepts. Further some necessary and sufficient conditions for equality of the sets of statistical convergence and lacunary statistical convergence for sequence of sets in IFMS have been established. The concept of strong Cesàro summability in IFMS has been defined and some results are established.

간호대학생의 대인관계능력 수준에 따른 대인관계능력에 대한 정서지능의 영향 (The Effect of Emotional Intelligence on Interpersonal Relation Competence according to Interpersonal Relation Competence in Nursing Students)

  • 곽윤경
    • 융합정보논문지
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    • 제11권5호
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    • pp.251-258
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    • 2021
  • 본 연구는 간호대학생의 대인관계능력 수준에 따른 대인관계능력에 대한 정서지능의 영향을 파악하기 위하여 수행되었다. 연구 진행을 위해 2019년 11월 29일부터 12월 16일까지 B광역시 소재 일 대학교 간호학과 재학생 126명을 대상자로 자료수집 하였고 Anova, Regression 분석으로 자료분석을 하였다. 간호대학생들의 대인관계능력을 60점 미만과 60점 이상으로 분류하여 두 그룹별 정서지능의 영향요인을 살펴본 결과, 대인관계능력 평균 60점 미만 그룹에서는 간호대학생들의 자기감정표현, 타인조절요인이 유의한 정적 영향요인(설명력, 22.5%)으로 나타났고, 대인관계능력 평균 60이상 그룹에서는 자기감정표현, 동기화가 유의한 영향요인으로 나타났다(설명력 33.6%). 본 연구의 결과에 따라 간호대학생들의 대인관계능력 교육에 있어 그들의 대인관계능력 수준을 고려한 맞춤식 접근을 제안한다.

장애인의 대인관계가 일상생활 만족도에 미치는 영향; 자기효능감의 매개효과 중심으로 (The influence of interpersonal relation of people with disability on daily life satisfaction; focusing on mediating effect of self-efficacy.)

  • 권오형;문재우
    • 융합정보논문지
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    • 제8권6호
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    • pp.327-333
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    • 2018
  • 연구의 목적은 대인관계 및 자기효능감을 통하여 장애인의 일상생활 만족도 향상 방안을 모색하는 것이다. 본 연구에는 2017년 장애인고용패널 2차 웨이브 2차 조사 대상자 4,400명중 1,483명을 대상으로 SPSS 21.0에 의한 기술통계, 상관분석 및 회귀분석이 활용되었다. 연구결과 대인관계는 자기효능감과 일상 생활만족도에 정(+)의 영향을 미쳤다. 자기효능감은 일상생활만족도에 정의 영향을 미쳤으며, 대인관계와 일상생활 만족도 간에 매개역할을 했다. 원활한 대인관계 및 자기효능감 증진을 통하여 일상생활 만족도를 높일 수 있다는 결론을 바탕으로 대인관계 및 자기효능감 증대를 위한 정책적 제언을 하였다.