• Title/Summary/Keyword: regular convergence

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FUZZY REGULAR CONVERGENCE STRUCTURES (퍼지 정칙 수렴구조)

  • Lee, Bu-Young;Sohn, Su-Ho
    • Proceedings of the Korean Institute of Intelligent Systems Conference
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    • 1995.10b
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    • pp.347-351
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    • 1995
  • We define a fuzzy regular modification and fuzzy regular series. And we investigate some properties of fuzzy regular modification with respect to fuzzy initial convergence structure

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W-REGULAR CONVERGENCE OF $R^i$-CONTINUA

  • Rhee, C. J.;Kim, I. S.;Kim, R. S.
    • Bulletin of the Korean Mathematical Society
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    • v.31 no.1
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    • pp.105-113
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    • 1994
  • In the course of study of dendroids, Czuba [3] introduced a notion of $R^{i}$ -continua which is a generalization of R-arc [1]. He showed a new class of non-contractible dendroids, namely of dendroids which contain an $R^{i}$ -continuum. Subsecequently Charatonik [2] attempted to extend the notion into hyperspace C(X) of metric continuum X. In so doing, there were some oversights in extending some of the results relating $R^{i}$ -continua of dendroids for metric continua. In fact, Proposition 1 in [2] is false (see example C below) and his proof of Theorem 6 in [2] is not correct (Take Example 4 in [4] with K = [e,e'] as an $R^{1}$-continuum of X and work it out. Then one seens that K not .mem. K as he claimed otherwise.). The aims of this paper are to introduce a notion of w-regular convergence which is weaker than 0-regular convergence and to prove that the w-regular convergence of a sequence {Xn}$^{\infty}$$_{n=1}$ to $X_{0}$ of subcontinua of a metric continuum X is a necessary and sufficient for the sequence {C( $X_{n}$)}$^{\infty}$$_{n=1}$ to converge to C( $X_{0}$ ), and also to prove that if a metric continuum X contains an $R^{i}$ -continuum with w-regular convergence, then the hyperspace C(X) of X contains $R^{i}$ -continuum.inuum.uum.

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A Study for Efficient Regular Path Query Evaluation (효율적인 Regular path Query 처리에 관한 연구 조사)

  • Lee, TaeSung;Baek, Eun-Jin;Hwang, Junseung;Kim, Kyoungmin;Han, Wook-Shin
    • Proceedings of the Korea Information Processing Society Conference
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    • 2017.04a
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    • pp.785-786
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    • 2017
  • 본 연구는 regular path query를 효율적으로 처리하는 디스크 기반 시스템을 만들기 위해서는 그래프 데이터를 효율적으로 저장하여야하며, regular path query 수행 시 발생하는 cost가 작도로 하는 evaluation algorithm이 필요하다. 이에 본 연구에서는 그래프데이터 저장 방법을 제안하고, regular path query 수행시 발생하는 cost 및 오버헤드를 분석한다.

SECOND ORDER REGULAR VARIATION AND ITS APPLICATIONS TO RATES OF CONVERGENCE IN EXTREME-VALUE DISTRIBUTION

  • Lin, Fuming;Peng, Zuoxiang;Nadarajah, Saralees
    • Bulletin of the Korean Mathematical Society
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    • v.45 no.1
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    • pp.75-93
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    • 2008
  • The rate of convergence of the distribution of order statistics to the corresponding extreme-value distribution may be characterized by the uniform and total variation metrics. de Haan and Resnick [4] derived the convergence rate when the second order generalized regularly varying function has second order derivatives. In this paper, based on the properties of the generalized regular variation and the second order generalized variation and characterized by uniform and total variation metrics, the convergence rates of the distribution of the largest order statistic are obtained under weaker conditions.

Safety Performance Functions for Central Business Districts Using a Zero-Inflated Model (영과잉을 고려한 중심상업지구 교통사고모형 개발에 관한 연구)

  • Lee, Sang Hyuk;Woo, Yong Han
    • International Journal of Highway Engineering
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    • v.18 no.4
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    • pp.83-92
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    • 2016
  • PURPOSES : The purpose of this study was to develop safety performance functions (SPFs) that use zero-inflated negative binomial regression models for urban intersections in central business districts (CBDs), and to compare the statistical significance of developed models against that of regular negative binomial regression models. METHODS : To develop and analyze the SPFs of intersections in CBDs, data acquisition was conducted for dependent and independent variables in areas of study. We analyzed the SPFs using zero-inflated negative binomial regression model as well as regular negative binomial regression model. We then compared the results by analyzing the statistical significance of the models. RESULTS : SPFs were estimated for all accidents and injury accidents at intersections in CBDs in terms of variables such as AADT, Number of Lanes at Major Roads, Median Barriers, Right Turn with an Exclusive Turn Lane, Turning Guideline, and Front Signal. We also estimated the log-likelihood at convergence and the likelihood ratio of SPFs for comparing the zero-inflated model with the regular model. In he SPFs, estimated log-likelihood at convergence and the likelihood ratio of the zero-inflated model were at -836.736, 0.193 and -836.415, 0.195. Also estimated the log-likelihood at convergence and likelihood ratio of the regular model were at -843.547, 0.187 and -842.631, 0.189, respectively. These figures demonstrate that zero-inflated negative binomial regression models can better explain traffic accidents at intersections in CBDs. CONCLUSIONS : SPFs that use a zero-inflated negative binomial regression model demonstrate better statistical significance compared with those that use a regular negative binomial regression model.

Non-regular Female Workers toward Convergence Era: Description and Unemployment Assistance (융복합 시대 비정규직 여성과 실업부조 도입의 필요성)

  • Yoo, Ji-Young
    • Journal of Digital Convergence
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    • v.13 no.7
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    • pp.33-45
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    • 2015
  • Present study aims to describe who are the non-regular female workers in South Korea. The dominant form of employment of Korean female non-regular workers is characterized by instable contract, low wage, long-time work and exclusion from the state and occupational welfare. Also, non-regular female workers are not homeogenous but there are various groups of women among female non-regular workers including young part-time workers, high educational middle class contract professionals, particular contract workers such as home-schooling teachers. However, it would worth noting that over 40s, low-educational, low income, breadwinning women who are working in sales, service, and simple handy job are most likely to become non-regular female workers in South Korea. Those women are the major group among non-regular female workers. The public assistance (in cash) for non-regular workers are necessarily needed for them at this point in South Korea.

Integrated approach to the working experience of non-regular outpatient nurse (비정규직 외래간호사의 근무경험에 대한 융합적 접근)

  • Lee, Hye Jin;Lee, Do Young
    • Journal of the Korea Convergence Society
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    • v.7 no.3
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    • pp.111-120
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    • 2016
  • The goal of this thesis is to have a subjective and general insight to the working experience of non-regular outpatient nurses working in general hospital to understand them. As for the study subjects, 7 non-regular outpatient nurses working in general hospital with rich working experience were randomly selected, and they were analyzed by Colaizzi's phenomenological qualitative research method which drew out 4 categories and 8 subcategories. As the result, non-regular outpatient nurses, due to its distinct characteristics of employment as contract worker, felt satisfaction in working environment on the surface, but found out there were reversed emotion in feeling dissatisfaction for the compensation or development. The results mentioned above will provide useful data in understanding the essence of working experience of non-regular outpatient nurses, and expect these results will be the supporting grounds to have interests and access to realistic problem that the non-regular outpatient nurses are facing.

On the second order property of elliptical multivariate regular variation

  • Moosup Kim
    • Communications for Statistical Applications and Methods
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    • v.31 no.4
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    • pp.459-466
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    • 2024
  • Multivariate regular variation is a popular framework of multivariate extreme value analysis. However, a suitable parametric model needs to be introduced for efficient estimation of its spectral measure. In such a view, elliptical distributions have been employed for deriving such models. On the other hand, the second order behavior of multivariate regular variation has to be specified for investigating the property of the estimator. This paper derives such a behavior by imposing a widely adopted second order regular variation condition on the representation of elliptical distributions. As result, the second order variation for the convergence to spectral measure is characterized by a signed measure with a regular varying index. Moreover, it leads to the asymptotic bias of the estimator. For demonstration, multivariate t-distribution is considered.

BROYDEN'S METHOD FOR OPERATORS WITH REGULARLY CONTINUOUS DIVIDED DIFFERENCES

  • Galperin, Anatoly M.
    • Journal of the Korean Mathematical Society
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    • v.52 no.1
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    • pp.43-65
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    • 2015
  • We present a new convergence analysis of popular Broyden's method in the Banach/Hilbert space setting which is applicable to non-smooth operators. Moreover, we do not assume a priori solvability of the equation under consideration. Nevertheless, without these simplifying assumptions our convergence theorem implies existence of a solution and superlinear convergence of Broyden's iterations. To demonstrate practical merits of Broyden's method, we use it for numerical solution of three nontrivial infinite-dimensional problems.