• 제목/요약/키워드: Dimension

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Chaos and Correlation Dimension

  • Kim, Hung-Soo
    • 한국수자원학회논문집
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    • 제33권S1호
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    • pp.37-47
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    • 2000
  • The method of delays is widely used for reconstruction chaotic attractors from experimental observations. Many studies have used a fixed delay time ${\tau}_d$ as the embedding dimension m is increased, but this is not necessarily the best choice for obtaining good convergence of the correlation dimension. Recently, some researchers have suggested that it is better to fix the delay time window ${\tau}_w$ instead. Unfortunately, ${\tau}_w$ cannot be estimated using either the autocorrelation function or the mutual information, and no standard procedure for estimating ${\tau}_w$ has yet emerged. However, a new technique, called the C-C method, can be used to estimate either ${\tau}_d\;or\;{\tau}_w$. Using this method, we show that, for small data sets, fixing ${\tau}_w$, rather than ${\tau}_d$, does indeed lead to a more rapid convergence of the correlation dimension as the embedding dimension m in increased.

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CAD 시스템에 의하여 작성된 기계도면의 자동검증시스템에 관한 연구 (A Computer Aided Automatic Verification System for Mechanical Drawings Drawn with CAD System)

  • Lee, S.S.
    • 한국정밀공학회지
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    • 제13권8호
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    • pp.60-71
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    • 1996
  • Mostof existing CAD systems do not provide the advanced function for systematic checking of design and drafting errors in mechanical drawings. We have reported a computer aided drawing check system to single plane projection drawings made by a CAD system. This paper describes a checking method of dimensioning errors in mechanical drawings. The checking items are deficiency and redundancy of dimensions, input-errors in dimension figures and symbols, etc. Checking for deficiency and redundancy of global dimensions has been performed applying Graph Theory. This system has been applied to several examples and we have confirmed the feasibility of this checking method.

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THE DIMENSION REDUCTION ALGORITHM FOR THE POSITIVE REALIZATION OF DISCRETE PHASE-TYPE DISTRIBUTIONS

  • Kim, Kyung-Sup
    • Journal of the Korean Society for Industrial and Applied Mathematics
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    • 제16권1호
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    • pp.51-64
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    • 2012
  • This paper provides an efficient dimension reduction algorithm of the positive realization of discrete phase type(DPH) distributions. The relationship between the representation of DPH distributions and the positive realization of the positive system is explained. The dimension of the positive realization of a discrete phase-type realization may be larger than its McMillan degree of probability generating functions. The positive realization with sufficient large dimension bound can be obtained easily but generally, the minimal positive realization problem is not solved yet. We propose an efficient dimension reduction algorithm to make the positive realization with tighter upper bound from a given probability generating functions in terms of convex cone problem and linear programming.

프랙탈 차원에 의한 소자 표면의 특성 (The Properties of Devices Surface by Fractal Dimension)

  • 홍경진;민용기;조재철
    • 한국전기전자재료학회:학술대회논문집
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    • 한국전기전자재료학회 2006년도 영호남 합동 학술대회 및 춘계학술대회 논문집 센서 박막 기술교육
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    • pp.149-151
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    • 2006
  • The surface properties of electrical devices studied by fractal phenomenon were investigated. The SEM photographs of devices surface were changed by binary code and it were analyzed by fractal dimension. The void of devices surface was found by fractal program. The relation between grain density and electrical properties are able to expect to fractal dimension. The grain size in varistors surface was decreased by increasing of oxide antimony addition. The fractal dimension and electrical properties of devices surface was related to between grain boundary and grain density. The grain size was decreased by increasing of fractal dimensions.

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아파트 단지 내 휘트니스 시설의 이용자수에 따른 적정 시설과 공간규모에 관한 연구 - 천안시 4개 아파트 단지를 대상으로 - (A Study on the Proper Equipments and Optimal Dimension for a Fitness Facility in an Apartment Complex According to the Number of Users - Focused on the four Apartments located in Cheonan -)

  • 박영선;유수훈
    • 한국주거학회논문집
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    • 제19권6호
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    • pp.1-8
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    • 2008
  • A fitness facility in an apartment complex is not a simple sports facility. It has important roles in improving the residents' physical and mental health, and in forming a sense of community. This study analyzed the number of users in the fitness facility of the apartment complex, which is a significant criterion in determining the dimension. A comparative analysis between the past and the present function and dimension was performed in finding out the optimal solutions. In conclusion, the number of users in the fitness facility is influenced not by the number of households in the complex but by the facility's size and creating a desired environment. The users' favorite sports equipments were figured out to meet those needs. Moreover, comparing the facilities' size, user satisfaction, area per person, an optimal dimension for the facility, and rates of equipments were found out.

도시가계의 화폐태도유형과 지출행동분석 (An Analysis of the Type of Attitudes Toward Money and Expenditure Behavior)

  • 백은영
    • 대한가정학회지
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    • 제36권3호
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    • pp.47-60
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    • 1998
  • This Pupose of this study was to identify the type of attitudes toward money to investigate the relationship between the attitued and consumption expenditure pattern. Data were obtained from 398 household living in Seoul. Factor analysis was used for examining dimensions of attitudes toward money and cluster analysis for classifying the households by money attitudes. This study found five money attitude dimensions, i.e., the Means of Success dimension, the Means of Pleasure dimension, the Means of Security dimension, the Symbol of Anxiety dimension, and the Parsimony dimension, Based on the variation in the dimensions, five money types were identified, ie., the Means of Success, the Means of Pleasure, the Means of Security, the Symbol of Anxiety, and the Parsimony.

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On hierarchical clustering in sufficient dimension reduction

  • Yoo, Chaeyeon;Yoo, Younju;Um, Hye Yeon;Yoo, Jae Keun
    • Communications for Statistical Applications and Methods
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    • 제27권4호
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    • pp.431-443
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    • 2020
  • The K-means clustering algorithm has had successful application in sufficient dimension reduction. Unfortunately, the algorithm does have reproducibility and nestness, which will be discussed in this paper. These are clear deficits for the K-means clustering algorithm; however, the hierarchical clustering algorithm has both reproducibility and nestness, but intensive comparison between K-means and hierarchical clustering algorithm has not yet been done in a sufficient dimension reduction context. In this paper, we rigorously study the two clustering algorithms for two popular sufficient dimension reduction methodology of inverse mean and clustering mean methods throughout intensive numerical studies. Simulation studies and two real data examples confirm that the use of hierarchical clustering algorithm has a potential advantage over the K-means algorithm.

Chaos and Correlation Dimension

  • Kim, Hung-Soo
    • 한국수자원학회:학술대회논문집
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    • 한국수자원학회 2000년도 학술발표회 논문집
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    • pp.37-47
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    • 2000
  • The method of delays is widely used fur reconstructing chaotic attractors from experimental observations. Many studies have used a fixed delay time ${\tau}_d$ as the embedding dimension m is increased, but this is not necessarily the best choice for obtaining good convergence of the correlation dimension. Recently, some researchers have suggested that it is better to fix the delay time window ${\tau}_w$ instead. Unfortunately, ${\tau}_w$ cannot be estimated using either the autocorrelation function or the mutual information, and no standard procedure for estimating ${\tau}_w$has yet emerged. However, a new technique, called the C-C method, can be used to estimate either ${\tau}_d{\;}or{\;}{\tau}_w$. Using this method, we show that, for small data sets, fixing ${\tau}_w$, rather than ${\tau}_d$, does indeed lead to a more rapid convergence of the correlation dimension as the embedding dimension m is increased.

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A Study on the Body Proportion and Proportional Dimension Standards for Chinese Women - Focusing on the analysis of the high-frequence group -

  • Kim, Eun-Hee;Sohn, Hee-Soon
    • 패션비즈니스
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    • 제10권6호
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    • pp.91-109
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    • 2006
  • This study aims at strengthening the national competitiveness of Korea's clothing industry as it provides substantial information on the human body proportion and proportional dimension standards for Chinese women and improves the fitness of clothing, considering human proportion in the production of clothing products for export to China. This study selected by simple random sampling Chinese women in Beijing and Shanghai, China, whose age is between 19-50 from June 23 to August 7, 2004. The stature of the average Chinese woman belonging to the High Frequency group is 7.09 times as long as the length of the head. We developed the body proportional dimension standards with the same proportion with High-Frequence group. The basic size of proportional dimension standards for Chinese women has the stature of 159cm, (chest circumference)/2 of 42.8cm.

Detecting width-wise partial delamination in the composite beam using generalized fractal dimension

  • Kumar, S. Keshava;Ganguli, Ranjan;Harursampath, Dineshkumar
    • Smart Structures and Systems
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    • 제19권1호
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    • pp.91-103
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    • 2017
  • Generalized fractal dimension is used to detect the presence of partial delamination in a composite laminated beam. The effect of boundary conditions and location of delamination on the fractal dimension curve is studied. Appropriability of higher mode shape data for detection of delamination in the beam is evaluated. It is shown that fractal dimension measure can be used to detect the presence of partial delamination in composite beams. It is found that the torsional mode shape is well suited for delamination detection in beams. First natural frequency of delaminated beam is found to be higher than the healthy beam for certain small and partial width delaminations and some boundary conditions. An explanation towards this counter intuitive phenomenon is provided.