• 제목/요약/키워드: FRACTAL

검색결과 973건 처리시간 0.022초

수학과 건축의 패러다임과 범 패러다임 (Paradigm and Pan-paradigm in Mathematics and Architecture)

  • 계영희
    • 한국수학교육학회지시리즈E:수학교육논문집
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    • 제27권2호
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    • pp.165-177
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    • 2013
  • 토마스 쿤의 패러다임 이론은 수학의 혁명적 과정을 설명하는 데는 충분치 않으며, 학제간 연구에는 더욱 그러하다. 본 논문에서는 현대건축에 나타난 위상기하적인 요소를 고찰하고, 우리나라 전통건축과 서양의 현대건축과의 강한 유사성을 비교할 때 시대정신으로는 설명이 불충분하여 범 패러다임이란 개념으로 설명한다.

역전파신경회로망을 이용한 피로균열성장과 수명 모델링에 관한 연구 (A Study on Fatigue Crack Growth and Life Modeling using Backpropagation Neural Networks)

  • 조석수;주원식
    • 대한기계학회논문집A
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    • 제24권3호
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    • pp.634-644
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    • 2000
  • Fatigue crack growth and life is estimated by various fracture mechanical parameters but affected by load, material and environment. Fatigue character of component without surface notch cannot be e valuated by above-mentioned parameters due to microstructure of in-service material. Single fracture mechanical parameter or nondestructive parameter cannot predict fatigue damage in arbitrary boundary condition but multiple fracture mechanical parameters or nondestructive parameters can Fatigue crack growth modelling with three point representation scheme uses this merit but has limit on real-time monitoring. Therefore, this study shows fatigue damage model using backpropagatior. neural networks on the basis of X-ray half breadth ratio B/$B_o$ fractal dimension $D_f$ and fracture mechanical parameters can predict fatigue crack growth rate da/dN and cycle ratioN/$N_f$ at the same time within engineering estimated mean error(5%).

Monte Carlo Simulation Study: the effects of double-patterning versus single-patterning on the line-edge-roughness (LER) in FDSOI Tri-gate MOSFETs

  • Park, In Jun;Shin, Changhwan
    • JSTS:Journal of Semiconductor Technology and Science
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    • 제13권5호
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    • pp.511-515
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    • 2013
  • A Monte Carlo (MC) simulation study has been done in order to investigate the effects of line-edge-roughness (LER) induced by either 1P1E (single-patterning and single-etching) or 2P2E (double-patterning and double-etching) on fully-depleted silicon-on-insulator (FDSOI) tri-gate metal-oxide-semiconductor field-effect transistors (MOSFETs). Three parameters for characterizing the LER profile [i.e., root-mean square deviation (${\sigma}$), correlation length (${\zeta}$), and fractal dimension (D)] are extracted from the image-processed scanning electron microscopy (SEM) image for each photolithography method. It is experimentally verified that two parameters (i.e., ${\sigma}$ and D) are almost the same in each case, but the correlation length in the 2P2E case is longer than that in the 1P1E case. The 2P2E-LER-induced $V_TH$ variation in FDSOI tri-gate MOSFETs is smaller than the 1P1E-LER-induced $V_TH$ variation. The total random variation in $V_TH$, however, is very dependent on the other major random variation sources, such as random dopant fluctuation (RDF) and work-function variation (WFV).

대수 주기 칸토어 코흐 다이폴 안테나의 복사 특성 (Radiation Characteristics of Log Periodic Cantor Koch Dipole Antennas)

  • 박재성;최학근;박재현
    • 한국전자파학회논문지
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    • 제21권9호
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    • pp.1005-1012
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    • 2010
  • 본 논문에서는 대수 주기 코흐 다이폴 안테나(LPKDA: Log Periodic Koch Dipole Antenna)의 크기를 줄이기 위해 코흐 다이폴 소자를 칸토어 코흐 다이폴 소자로 대체한 대수 주기 칸토어 코흐 다이폴 안테나(LPCKDA: Log Periodic Cantor Koch Dipole Antenna)를 제안하였다. 제안된 안테나의 타당성을 확인하기 위하여 0.5~1.5 GHz의 주파수에서 동작하는 LPCKDA를 설계 및 제작하여 기존의 LPKDA(LPKDA: Log Periodic Koch Dipole Antenna)의 특성과 비교하였다. 그 결과, 본 논문에서 제안한 LPCKDA는 다이폴 소자의 길이를 약 5 % 줄이면서 복사 특성이 LPKDA와 비교하여 거의 차이가 없는 것으로 나타났다.

복잡계로서의 건축개념과 조형적 특성에 관한 연구(I) (The Architectural Concepts and Design Properties as a Complex System)

  • 김주미
    • 한국실내디자인학회논문집
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    • 제22호
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    • pp.123-131
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    • 2000
  • The purpose of this study is to propose a new design concept and properties within new paradigm. Contemporary students of architectural design seem to redefine the mechanic and reductive approach to design method based upon Euclidean geometry. In this study, the organic space-time and holistic view-point that constitutes the background for all this is radically different from the modern design. It consists of three sections as follow: First, it presents a concept of complex system and properties of complexity that we find in new natural science and tries to combine that news geometry with architectural design to provide a methodological basis for morphogenesis and transformation. Second, the complexity in architecture is defined as a fractal shape, folded space, and irreducible organic system that cannot be fully understood by modernist idea of architecture. Third, the complexity in architecture is strategy based on the electronic paradigm that would enable the emergence of creative possibility. The complexity theory offer new insights to explain not only natural laws but also define dynamic architecture. In fine, this study places a great emphasis on the organic world-view to the spatial organization, which I hope will contribute to generating a greater number of creative possibilities for design.

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탈물질화 시대의 비가시적 영역에서 영상콘텐츠 개발을 위한 연구 (A Study on development of Motion Picture Contents in the invisible area of the dematerialized era)

  • 최광춘;김후성
    • 한국콘텐츠학회:학술대회논문집
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    • 한국콘텐츠학회 2004년도 춘계 종합학술대회 논문집
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    • pp.449-455
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    • 2004
  • 영상콘텐츠 디자인 분야에서 합리적이고 이성적인 미의 구현에 있어서 일반적으로 수행하고 있는 구체적인 실체가 있는 가시적 영역의 디자인에서 벗어나 탈물질화 시대의 가상 공간인 비가시적 영역의 연구를 통하여 가시적 디자인으로 구상해내고, 전자공간에서 만들어지는 영상그래픽 들의 내포 의미와 새로운 감각을 얻을 수 있는 계기를 마련하고자 한다. 특히 물질 사회에서는 전자기파와 같은 눈에 보이지 않는 현상은 공간에 실존함에도 불구하고 개념적인 대상으로 다루어지곤 했는데 이러한 기존의 제한된 관점에서 벗어나 비가시적인 영역에 대한 디자인의 물리적ㆍ시적ㆍ미학적 경험에 대한 디자인 방안을 모색하고자 한다. 이러한 이론적 근거로 프랙탈디자인 분야에서 사운드와 리듬, 칼라와 이미지의 적용으로 인한 새로운 디자인에 대한 가능성을 확보하고자 한다.

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Abdominal-Deformation Measurement for a Shape-Flexible Mannequin Using the 3D Digital Image Correlation

  • Liu, Huan;Hao, Kuangrong;Ding, Yongsheng
    • Journal of Computing Science and Engineering
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    • 제11권3호
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    • pp.79-91
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    • 2017
  • In this paper, the abdominal-deformation measurement scheme is conducted on a shape-flexible mannequin using the DIC technique in a stereo-vision system. Firstly, during the integer-pixel displacement search, a novel fractal dimension based on an adaptive-ellipse subset area is developed to track an integer pixel between the reference and deformed images. Secondly, at the subpixel registration, a new mutual-learning adaptive particle swarm optimization (MLADPSO) algorithm is employed to locate the subpixel precisely. Dynamic adjustments of the particle flight velocities that are according to the deformation extent of each interest point are utilized for enhancing the accuracy of the subpixel registration. A test is performed on the abdominal-deformation measurement of the shape-flexible mannequin. The experiment results indicate that under the guarantee of its measurement accuracy without the cause of any loss, the time-consumption of the proposed scheme is significantly more efficient than that of the conventional method, particularly in the case of a large number of interest points.

A NUMBER SYSTEM IN ℝn

  • Jeong, Eui-Chai
    • 대한수학회지
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    • 제41권6호
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    • pp.945-955
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    • 2004
  • In this paper, we establish a number system in $R^n$ which arises from a Haar wavelet basis in connection with decompositions of certain Cuntz algebra representations on $L^2$( $R^n$). Number systems in $R^n$ are also of independent interest [9]. We study radix-representations of $\chi$ $\in$ $R^n$: $\chi$:$\alpha$$_{ι}$ $\alpha$$_{ι-1}$$\alpha$$_1$$\alpha$$_{0}$$\alpha$$_{-1}$ $\alpha$$_{-2}$ … as $\chi$= $M^{ι}$$\alpha$$_{ι}$ $\alpha$+…M$\alpha$$_1$$\alpha$$_{0}$$M^{-1}$ $\alpha$$_{-1}$$M^{-2}$ $\alpha$$_{-2}$ +… where each $\alpha$$_{k}$ $\in$ D, and D is some specified digit set. Our analysis uses iteration techniques of a number-theoretic flavor. The view-point is a dual one which we term fractals in the large vs. fractals in the small,illustrating the number theory of integral lattice points vs. fractions.s vs. fractions.

결절법을 이용한 전영역에서의 연기입자 응집체에 대한 브라운응집현상 해석 (Simulation of the Brownian Coagulation of Smoke Agglomerates in the Entire Size Regime using a Nodal Method)

  • 구재학
    • 한국대기환경학회지
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    • 제27권6호
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    • pp.681-691
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    • 2011
  • The size distributions of smoke particles from fire are prerequisite for the studies on fire detection and adverse health effects. Above the flame of the fire, coagulation dominates and the smoke particles grow from 1 to 50 nm up to 100 to 3,000 nm, sizes ranging from the free-molecular regime to the continuum regime. The characteristics of the agglomeration of the smoke particles are well known, independently for each of the free-molecular and continuum regimes. However, there are not many systematic studies in the entire regime by the complexity of the mechanisms. The purpose of this work is to find the characteristics of the development of the size distribution of smoke particles by agglomeration in the entire size range covering the free-molecular regime, via transition regime, to the near-continuum and continuum regime for each variation of parameters such as fractal dimension, primary particle size and dimensionless coagulation time. In this work, the dynamic equation for the discrete-size spectrum of the particles was solved using a nodal method based on the modification of a sectional method. In the calculation, the collision frequency function for the entire regime, which is derived by using the concept of collision volume and general enhancement function, was applied. The self-preserving size distribution for the entire regime is compared with the ones for the free-molecular or continuum regimes for each variation of the parameters.

Circardian rhythm of cardiac nonlinear dynamics in healthy human

  • Yum, M.K.;Kim, N.S.;Oh, J.W.;Kim, C.R.;Lee, J.H.;Kim, S.K.;Lee, J.M.
    • 대한의용생체공학회:학술대회논문집
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    • 대한의용생체공학회 1997년도 추계학술대회
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    • pp.323-326
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    • 1997
  • In this study, we investigated the circardian rhythm of complexity of cardiac dynamics in humans. Dynamic 24-hour electrocardiographic recordings were obtained from 30 healthy ambulant subjects aged 41 to 50 years. or each recordings, normalized low frequency (0.04-0.1 hertz) and high frequency (>0.15 hertz) component are calculated. our different indexes obtained from separate algorithms of nonlinear dynamics - approximate entropy, correlation dimension, Lyapunov exponent and fractal dimension - were calculated. During early morning, low frequency component rose rapidly with concomitant withdrawl of high frequency component. All the our indexes of nonlinear dynamics showed remarkably same circardian rhythm: an early morning dip preceded by a steep decline during late night, a gradual recovery during evening and a peak around midnight. These data indicate that the simultansous losses of all of the our different mechanisms of nonlinear control of heart rate during early morning, concomitent with the surge of symapathetic activity and reduction of vagal activity, may contribute to the increased incidence of cardiovascular events during morning hours.

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