• Title/Summary/Keyword: Convergence relation

Search Result 776, Processing Time 0.026 seconds

M-SCOTT CONVERGENCE AND M-SCOTT TOPOLOGY ON POSETS

  • Yao, Wei
    • Honam Mathematical Journal
    • /
    • v.33 no.2
    • /
    • pp.279-300
    • /
    • 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.

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

  • Kim, Jin Hwan
    • East Asian mathematical journal
    • /
    • v.35 no.2
    • /
    • pp.239-257
    • /
    • 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
    • /
    • v.25 no.6
    • /
    • pp.158-161
    • /
    • 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
    • /
    • v.42 no.1
    • /
    • pp.26-35
    • /
    • 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.

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

  • Chon, Yong-Baek;Shin, Young-Gi
    • Journal of the Korean Society of Industry Convergence
    • /
    • v.6 no.3
    • /
    • pp.185-192
    • /
    • 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.

  • PDF

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

  • Ji, Sang-Hyun;Lee, Gyeong-Rak;Lee, Jin-Soo
    • Journal of the Korea Convergence Society
    • /
    • v.8 no.1
    • /
    • pp.181-186
    • /
    • 2017
  • We examined the effect of Investor Relation(IR) on financial Ratios. This Study used by using 1,178 sample data from 2007 to 2010. In short, the result of this study's is as followed. Investor Relation(IR) have a positive relevance with financial Ratios variables. Therefore we can support that the firm held Investor Relation(IR) shows the better financial performance according to this study. This study contributes as follow. we can confirm how does a Investor Relation(IR) affect financial performance by this study's result. We hope that this study can be helped development of capital market and give a good news to investors on firms that have good governance level.

Relation between Certainty and Uncertainty with Fuzzy Entropy and Similarity Measure

  • Lee, Sanghyuk;Zhai, Yujia
    • Journal of the Korea Convergence Society
    • /
    • v.5 no.4
    • /
    • pp.155-161
    • /
    • 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
    • /
    • v.40 no.1_2
    • /
    • pp.69-83
    • /
    • 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.

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

  • Kwag, Youn-Kyong
    • Journal of Convergence for Information Technology
    • /
    • v.11 no.5
    • /
    • pp.251-258
    • /
    • 2021
  • This study was conducted to investigate the impact of emotional intelligence according to the level of interpersonal relation competence. For the study, data were collected from 126 students in the department of nursing at a university located in B city from November 29 to December 16, 2019, and data were analyzed by Anova and Regression analysis. The interpersonal relation competence of nursing students was classified into less than 60 and 60 or more. In the group with an average of less than 60 in interpersonal relation competence. nursing students' self-emotional expression and control of others were significant positive effecting factors for interpersonal relation competence(explanatory power, 22.5%). In the group with an average of 60 or more in interpersonal relationship competence, self-emotional expression and Motivation were significant effecting factors(explanatory power 33.6%). According to the results of this study, we propose an individual approach according to their level of interpersonal relation competence for nursing education to improve the interpersonal relation competence abilities of nursing students.

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

  • Kweon, Oh-Hyoung;Moon, Jae-Woo
    • Journal of Convergence for Information Technology
    • /
    • v.8 no.6
    • /
    • pp.327-333
    • /
    • 2018
  • This study is to find ways to improve the daily life satisfaction of people with disability through interpersonal relation and self-efficacy. Descriptive statistics, correlation analysis and regression analysis by SPSS 21.0 were applied to 1,483 out of 4,400 of Penal Survey of Employment for the Disabled 2nd Wave. The study show that the interpersonal relation had a positive effect on self-efficacy and daily life satisfaction. Self-efficacy influenced positive effect to life satisfaction and played a mediating role between interpersonal relation and daily life satisfaction. Based on the conclusion that daily life satisfaction can be enhanced through the improvement of interpersonal relations and self-efficacy, this study made policy suggestions to improve interpersonal relations and self-efficacy.