• 제목/요약/키워드: convergence society

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Fibrewise Hausdorff Convergence Spaces

  • Lee, Seok Jong;Lee, Eun Pyo
    • 충청수학회지
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    • 제5권1호
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    • pp.167-172
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    • 1992
  • In this paper, we introduce $T_0$, $T_1$ and Hausdorff axioms in fibrewise convergence spaces as a generalization of fibrewise topological spaces and of convergence spaces. Furthermore we investigate some results about the fibrewise Hausdorff convergence space.

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WIJSMAN LACUNARY IDEAL INVARIANT CONVERGENCE OF DOUBLE SEQUENCES OF SETS

  • Dundar, Erdinc;Akin, Nimet Pancaroglu
    • 호남수학학술지
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    • 제42권2호
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    • pp.345-358
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    • 2020
  • In this paper, we study the concepts of Wijsman lacunary invariant convergence, Wijsman lacunary invariant statistical convergence, Wijsman lacunary ${\mathcal{I}}_2$-invariant convergence (${\mathcal{I}}^{{\sigma}{\theta}}_{W_2}$), Wijsman lacunary ${\mathcal{I}}^*_2$-invariant convergence (${\mathcal{I}}^{\ast}^{{\sigma}{\theta}}_{W_2}$), Wijsman p-strongly lacunary invariant convergence ([W2Nσθ]p) of double sequence of sets and investigate the relationships among Wijsman lacunary invariant convergence, [W2Nσθ]p, ${\mathcal{I}}^{{\sigma}{\theta}}_{W_2}$ and ${\mathcal{I}}^{\ast}^{{\sigma}{\theta}}_{W_2}$. Also, we introduce the concepts of ${\mathcal{I}}^{{\sigma}{\theta}}_{W_2}$-Cauchy double sequence and ${\mathcal{I}}^{\ast}^{{\sigma}{\theta}}_{W_2}$-Cauchy double sequence of sets.

LOCAL CONVERGENCE THEOREMS FOR NEWTON METHODS

  • Argyros, Ioannis K.
    • Journal of applied mathematics & informatics
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    • 제8권2호
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    • pp.345-360
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    • 2001
  • Affine invariant sufficient conditions are given for two local convergence theorems involving inexact Newton-like methods. The first uses conditions on the first Frechet-derivative whereas the second theorem employs hypotheses on the mth(m≥2 an integer). Radius of convergence as well as rate of convergence results are derived. Results involving superlinear convergence and known to be true for inexact Newton methods are extended here. Moreover, we show that under hypotheses on the mth Frechet-derivative our radius of convergence can sometimes be larger than the corresponding one in [10]. This allows a wider choice for the initial guess. A numerical example is also provided to show that our radius of convergence is larger than the one in [10].

AFFINE INVARIANT LOCAL CONVERGENCE THEOREMS FOR INEXACT NEWTON-LIKE METHODS

  • Argyros, Ioannis K.
    • Journal of applied mathematics & informatics
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    • 제6권2호
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    • pp.393-406
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    • 1999
  • Affine invariant sufficient conditions are given for two local convergence theorems involving inexact Newton-like methods. The first uses conditions on the first Frechet-derivative whereas the second theorem employs hypotheses on the second. Radius of con-vergence as well as rate of convergence results are derived. Results involving superlinear convergence and known to be true for inexact Newton methods are extended here. Moreover we show that under hypotheses on the second Frechet-derivation our radius of convergence results are derived. Results involving superlinear convergence and known to be true or inexact Newton methods are extended here. Moreover we show that under hypotheses on the second Frechet-derivative our radius of conver-gence is larger than the corresponding one in [10]. This allows a wider choice for the initial guess. A numerical example is also pro-vided to show that our radius of convergence is larger then the one in [10].

창의교육활성화를 위한 이공계융합교육모델 연구 (A Study on Natural Sciences and Engineering's Convergence Education Model for Cultivating Creative Capability)

  • 이양원
    • 공학교육연구
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    • 제15권6호
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    • pp.92-97
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    • 2012
  • This paper deals with the model of natural sciences and engineering's convergence education. Recently, convergence education's necessary is needed since the most of new products are designed and produced based on the convergence technology. But our country's education system is keeping existing education process. This make industrial world undurable to employ the current graduated students. Also in view of educational world, they have no proper convergence education model for their students. In this paper, to solve the non-existing convergence education model, we derive the a few convergence education model and list up their model each. This result will be helpful for the introducer of the convergence education system.

HYPO-CONVERGENCE OF SEQUENCES OF FUZZY SETS AND MAXIMIZATION

  • Tortop, Sukru;Dundar, ErdInC
    • 호남수학학술지
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    • 제44권3호
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    • pp.461-472
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    • 2022
  • In optimization theory, hypo-convergence is considered as an effective tool by providing the convergence of supremum values under some conditions. This feature makes it different from other types of convergence. Therefore, we have defined the hypo-convergence of a sequence of fuzzy sets due to the increasing interest in fuzzy set theory in recent years. After giving a theoretical framework, we deal with the optimization process by using a sequential characterization of hypo-convergence of sequence of fuzzy sets. Since the maximization process in optimization theory is beyond the presence of hypo-convergence, we give some conditions to satisfy the convergence of supremum values. Furthermore, we show how sequence of fuzzy sets and fuzzy numbers differ in the convergence of the supremum values.

감성적 도구로서의 테크놀로지와 패션디자인의 융합에 나타난 이항대립과 의미생성구조 - 패션디자인 컬렉션을 중심으로 - (A Study on the Generative Structure of the Meaning and the Binary-Opposition in the Convergence of Fashion Design and Technology as a Emotional Method - Focused on Fashion Design Collections -)

  • 이지현;김지은;류림정
    • 복식
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    • 제63권7호
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    • pp.134-147
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    • 2013
  • Today, the convergence of fashion design and digital technology has become a popular method and accordingly been tried variously in the fashion area. This study aimed to analyze the character of the collaboration with fashion and technology, and the meaning of technology as emotional expression methods. Selected designer's collections, literature and other related studies were reviewed in order to analyze the generative structure of the meaning and the binary-opposition in the convergence of body, fashion design and technology. Literatures and selected designer's collections were reviewed and quantitatively studies were performed to classify the convergence of human bodies, fashion design and technology through Greimas Semiotics rectangle based on binary-opposition of meaning and isotophy analysis. The research presents three types of fashion technology methods: mechanical movement, light/digital media, and virtual image. The convergence of fashion and technology was classified as the direct convergence and the indirect convergence. The direct convergence was characterized by variability and has automatic, independent movement, but the indirect convergence was shown closed and to have contradistinctive images.

공통특허분류 분석을 활용한 안전기술융합분야 탐색 : Association Rule Mining(ARM) 접근법 (Exploring Convergence Fields of Safety Technology Using ARM-Based Patent Co-Classification Analysis)

  • 서용윤
    • 한국안전학회지
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    • 제32권5호
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    • pp.88-95
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    • 2017
  • As the safety fields are expanding to a variety of industrial fields, safety technology has been developed by convergence between industrial safety fields such as mechanics, ergonomics, electronics, chemistry, construction, and information science. As the technology convergence is facilitating recently advanced safety technology, it is important to explore the trends of safety technology for understanding which industrial technologies have been integrated thus far. For studying the trends of technology, the patent is considered one of the useful sources that has provided the ample information of new technology. The patent has been also used to identify the patterns of technology convergence through various quantitative methods. In this respect, this study aims to identify the convergence patterns and fields of safety technology using association rule mining(ARM)-based patent co-classification(co-class) analysis. The patent co-class data is especially useful for constructing convergence network between technological fields. Through linkages between technological fields, the core and hub classes of convergence network are explored to provide insight into the fields of safety technology. As the representative method for analyzing patent co-class network, the ARM is used to find the likelihood of co-occurrence of patent classes and the ARM network is presented to visualize the convergence network of safety technology. As a result, we find three major convergence fields of safety technology: working safety, medical safety, and vehicle safety.

사회연결망 k-코어를 활용한 기술융합 분석: 방위산업 기업의 보유기술 중심 (Technology Convergence Analysis Using Social Network k-Core: Focusing on Company Technologies of Defense Industry)

  • 박동수;윤한성
    • 디지털산업정보학회논문지
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    • 제18권3호
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    • pp.83-95
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    • 2022
  • A technology can be newly formed through technological convergence achieved by the intersection of two or more technological fields. As the complexity of technology development increases, related interest is increasing. Researches have been carried out on the concept, related indicators and analysis of technology convergence including method of social networks. This paper intends to suggest an analysis method of technology convergence using social networks based on the company's possessing technologies. According to the similarity of technologies among companies, a social network was constructed and the technology convergence was analyzed using k-core, a social network subgroup method. Using the result of k-core, base and element technologies for convergence was identified with their relations. Using the suggested method, technology convergence was analyzed on real technology data of defense-industry companies. When the minimum technology similarity is 0, the overall technology convergence relations between technology elements can be identified. In the scope of data in this paper, technologies of defense S/W, aircraft structure and structural materials are identified as important base technology for convergence.