• Title/Summary/Keyword: Fractal Theory

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Complexity Theory and Organization Management (복잡성 이론과 기업경영: 프랙탈 경영방식을 중심으로)

  • Lee, Jang-Woo;Park, Hying-Gyu
    • Korean Management Science Review
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    • v.15 no.2
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    • pp.239-257
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    • 1998
  • Facing the globalization of world economy, intense market competition, radical change of information technology, firms are obliged to create a new type of organizations characterized by flexibility and adaptability to new and dynamic environments. This paper reviews the theories of complexity in physics briefly and discusses the implications of them on the management of business organizations. It analogizes the core concepts from complexity theories such as cooperative phenomena, self-organization, adaptation, positive feedback, and butterfly effect, and attempts to identify their implications on business management. Particularly, it suggests principles of 'Fractal' management which apply the fractal structure to the business organization.

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The Mathematical proposal of Economical Exchange-Cycle in EPDM (EPDM 애자의 경제적 교체 주기에 관한 수학적 제안)

  • Lim, Jang-Seob
    • Proceedings of the KIEE Conference
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    • 2008.10a
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    • pp.135-136
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    • 2008
  • In the paper, we evaluated insulation evaluation of EPDM insulator used often in power distribution lines in Korea. The selected samples for our experiment were three EPDM insulators for 22.9[kV] operated for 10 years or less. Using these samples, we observed the discharge pattern through accelerating experimental and analyzed discharge quantity using fractal theory. The validity of our fractal method were discussed and life time. reliability and quantitative analysis of the insulator was conducted through the method.

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Mathematics and Arts of Renaissance on the Chaotic Perspective (카오스의 관점에서 본 르네상스의 수학과 미술)

  • Kye Young-Hee;Oh Jin-Kyoug
    • Journal for History of Mathematics
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    • v.19 no.2
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    • pp.59-76
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    • 2006
  • This research focuses on the relationship between mathematics and visual art from a perspective of chaos theory which emerged under the influence of post-modernism. Culture and history, which transform dynamically with the passing of time, are models of complexity. Especially, when the three periods of Medieval, Renaissance, and 17-18 Centuries are observed, the Renaissance period is phase transition phenomenon era between Medieval and 17-18 Centuries. The transition stage between the late Medieval times and the Renaissance; and the stage between the Renaissance and the Modern times are also phase transitions. These phenomena closely resemble similarity in Fractal theory, which includes the whole in a partial structure. Phase transition must be preceded by fluctuation. In addition to the pioneers' prominent act of creation in the fields of mathematics and visual an serving as drive behind change, other socio-cultural factors also served as motivations, influencing the transformation of the society through interdependency. In particular, this research focuses on the fact that scientific minds of artists in the Renaissance stimulated the birth of Perspective Geometry.

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Analysis of Fractal Dimension for Urban Spatial Structure Based on Box Counting Method : Focusing Buildings Locations and Road Compositions in Cheongju (박스 계수법을 이용한 도시공간구조의 프랙탈 차원 분석 : 청주시의 건축물 분포 및 도로구조 사례를 중심으로)

  • Song, Sun-Gi;Kim, Dong-Won;Hwang, Hee-Yun
    • Journal of the Korean association of regional geographers
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    • v.16 no.4
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    • pp.387-399
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    • 2010
  • This study, using Fractal theory, aims to examine the meaning in the aspect of urban spatial structure by reflecting the characteristics of elements organizing the urban space and at the same time measuring the urban form quantitatively. By calculating Fractal Dimension to Cheongju as a target, it conducted comparison and analysis by dividing building and road which are internal element of a space into the whole city and urbanized area to compare and analyze validity of the theory application and the inside of an actual urban space. For the method of an analysis, it calculated Fractal Dimension by linking a digital map including the property of building and road with GIS program and using box counting. An analysis result showed that the result value of Fractal Dimension by structure and road is all high and similar. It drew a similar result value from the whole Cheongju and the urbanized area as well, but commercial and industrial area showed low result value from the partial viewpoint. However, it is correct to regard these spaces as one space because they are intimately connected with a residential area. From the general viewpoint, it could be said that Cheongju's Fractal Dimension grows in the context of a urbanized area.

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Fundamentals of Percolation Phenomenon with Emphasis on Its Concept in Disordered Electrochemical Systems

  • Jung Kyu-Nam;Pyun Su-Il
    • Journal of the Korean Electrochemical Society
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    • v.7 no.3
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    • pp.155-162
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    • 2004
  • This article covers the fundamentals of percolation phenomenon giving emphasis to the percolation concept involved in disordered electrochemical systems. After a brief discourse on the basic concepts of percolation theory, the geometrical properties and fractality of percolation clusters were presented. Then, anomalous behaviours of diffusion in percolation clusters were explained in terms of the fractal structures of the infinite percolation clusters. Finally, the conductivity-related properties of composite ionic materials were shortly discussed on the basis of percolation theory from practical points of view.

Development of Alternative Interpolation method of CPT Data using Fractal Theory (플랙탈 이론을 활용한 콘관입시험 결과의 새로운 보간법 개발)

  • Yu, Chan;Jung, Sung-Mo;Jung, Kyoung-Sik
    • Proceedings of the Korean Geotechical Society Conference
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    • 2006.03a
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    • pp.179-188
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    • 2006
  • In this study, R/S analysis which was proposed by Mandelbrot & Wallis(1969) was applied to evaluate the presence of the fractal property in the cone tip resistance of in-situ CPT data. Hurst exponents(H) were evaluated in the range of $0.660\sim0.990$ and the average was 0.875. It was confirmed that a cone tip resistance data had the characteristic of fractals and it was expected that cone tip resistance data sets are well approximated by a fBm process with an Hurst exponent near 0.875. It was also observed that the boundary between layers were obviously identified as a result of R/S analysis and it will be usage in practices.

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Roughness and Shape Analysis on Granular Materials (조립토의 거칠기 및 모양 분석)

  • 민덕기;이완진;이종익
    • Proceedings of the Korean Geotechical Society Conference
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    • 2002.10a
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    • pp.245-252
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    • 2002
  • The roughness of Joomoonjin sand and the Dongchun river sand was analysed by the fractal theory. It was found that the fractal dimension(D$\_$F/) of Joomoonjin sand is a little smaller than the Dongchun river sand. That means Joomoonjin sand is smoother than the Dongchun river sand. The measurements of D$\_$F/ of different fraction of the Donchun river sand showed that large particles were rougher than fine particles. The shapes of both sands were analysed by the Discrete Fourier Transform(DFT) and the Grid-based(GB) method. Normalization of coefficients with respect to size, starting point and its orientation made the coefficients invaried to these characteristics. The mean of the normalized coefficients was used to reconstruct the average shape for both sands, respectively. The measurements of the ellipticity ratio of different fraction of both sands showed that Joomoonjin sand is slightly flatter than the Dongcun river sand.

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A Study on the Anterior Creative Attributes of Chaos and Fratals and Their Applicability to Environmental Design (카오스, 프랙탈의 창조적 속성과 환경디자인에의 적용가능성에 관한 연구)

  • 김주미
    • Archives of design research
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    • v.13
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    • pp.235-255
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    • 1996
  • The world-view of a period or a society refers to the way it conceives of the order and governing principles of the universe. The ad and outcome of the crealive process of a designer reflect his or her world-view or value system. Contemporary students of design seem to find the traditional approach to art based upon the Euclidean logic rather redudive and confining and are trying to develop a new way of thinking and methodology, a new frame of reference. In this study, I am offering the chaos- and fractal theory, concepts drawn from science, as a new anchoring point for design. This approach makes use of the concept of chaos as the basis of a new, open system that enables a designer to find and generate numerous visual possibilities immanent in chaos. Likewise. fractal geometry is offering new concepts and vocabularies for the study of physical universe and design thinking, as well as bridging the gap between science and art. The number of structural possibilities fractal theory generates for environmental design seems to be virtually unlimiLl'd. In fine. this study places a great emphasis on the new approaches t() the environment we inhabit. which I hope will contribute to generating a greater number of creative possibililil:s for environmental design.

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Triangular Prism Method Based on an Enhanced Sampling Method (개선된 샘플링 방법에 기초한 삼각프리즘법)

  • Jin, Gang-Gyoo
    • Journal of the Korean Institute of Intelligent Systems
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    • v.23 no.2
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    • pp.93-99
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    • 2013
  • Fractal theory has been adopted as an effective tool for modelling complex and irregular natural phenomena facing in the fields of Computer Science, Engineering, Medical, Climatology and so on. In this paper, we presents an algorithm which enhances the performance of the triangular prism method(TPM) which has been widely used for fractal dimension extraction of natural terrains and images. For this, existing sampling methods are analyzed and a new sampling method which takes their merits is proposed. The effectiveness of the proposed algorithm is tested on fractal terrain maps and its performance is compared with that of other methods.