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Hausdorff dimension of some sub-similar sets

  • Kim, Tae-Sik
    • Bulletin of the Korean Mathematical Society
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    • v.35 no.3
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    • pp.397-408
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    • 1998
  • We often use the Hausdorff dimension as a tool of measuring how complicate the fractal is. But it is usually very difficult to calculate that value. So there have been many tries to find the dimension of the given set and most of these are related to the density theorem of invariant measure. The aims of this paper are to introduce the k-irreducible subsimilar sets as a generalization of the set defined by V.Drobot and J.Turner in ([1]) and calculate their Hausdorff dimensions by using algebraic methods.

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Evaluation of Working Load on Piles Considering Negative Skin Friction (부주면마찰력을 고려한 말뚝의 설계지지력 산정)

  • 정상섬
    • Proceedings of the Korean Geotechical Society Conference
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    • 2002.11a
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    • pp.81-101
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    • 2002
  • A summary of the various techniques available to calculate negative skin frictions on piles is presented. In light of all these existing techniques, a simple method is recommended to calculate the negative friction based on strength of pile material, bearing capacity and pile settlement. An example is worked out and the results of a numerical analysis are highlighted.

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Calculation of Seasonal Demand Side Management Quantity Using Time Series (시계열 모델을 이용한 계절별 수요관리량 산정)

  • Lee, Jong-Uk;Wi, Young-Min;Lee, Jae-Hee;Joo, Sung-Kwan
    • The Transactions of The Korean Institute of Electrical Engineers
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    • v.60 no.12
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    • pp.2202-2205
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    • 2011
  • Demand side management is used to maintain the reliability of power systems and to increase the economic benefits by avoiding power plant construction. This paper presents a systematic method to calculate the quantity of seasonal demand side management using time series. A numerical example is presented to calculate the quantity of demand side management in winter season using time series.

밀링가공의 절삭조건 검증시스템 개발

  • 김찬봉;양민양
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 1993.10a
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    • pp.428-433
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    • 1993
  • In this paper, the fast algorithm to calculate cutting force of milling and its application to NC verification system have been studied. The fast force algorithm can calculate the maximum cutting force fastly during one revelotion of tool. The NC verification using the fast force algorithm can verify excessive cutting force which is the cause of deflection and breakage of tool, and can so adjust the feed rate as to manufacture with the maximum force criterion or maximum machining error criterion. So, the fast force algorithm has been added to the NC verification system, the NC verification system can verify the physical problems in NC code effectively.

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Bayesian reliability prediction under event tree (Event tree하에서 베이지안 기법을 이용한 신뢰도 예측)

  • 박철순;전치혁;양희중;장수영
    • Proceedings of the Korean Operations and Management Science Society Conference
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    • 1993.10a
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    • pp.24-30
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    • 1993
  • When modeling a complex system we use an event tree to analyze propagation of failure. An event tree cannot represent the statistical interrelationships among parameters, but it can be represented as a statistically identical influence diagram so that parameter updating can be easily performed. After updating parameters we can calculate posterior distribution of the failure rate for each path. But exact distribution requires considerably complex numerical integration. We propose an approximation method to calculate the posterior and derive the predictive distribution of the time to next failure. Finally we introduce the system which implements our methodology.

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A Study on rapid evaluation of reliability for acyclic non-linear graph (Acyclic non-linear graph의 빠른 신뢰도 계산방법에 관한 연구)

  • 이광원;이현규
    • Journal of the Korean Society of Safety
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    • v.13 no.2
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    • pp.136-144
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    • 1998
  • FTA is the most commonly used method among quantitative safety assessment. In case that the observing system become larger, a lot of terms should be calculated to accomplish FTA through complicated process. Many methods have been tried to reduce time, one of tries is How to calculate the reliability using graph theory after changing W to graph. This paper suggests an algorithm that can calculate more rapidly reliability and outset of system expressed by non-linear graph as like as FTA or CCA.

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Exterior Acoustic Holography Reconstruction of a Tuning Fork using Inverse Non-singular BEM (역 비고유치 BEM을 사용한 소리 굽쇠의 외부 음향 홀로그래픽 재현)

  • Jarng, Soon-Suck;Lee, Je-Hyeong
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2002.11a
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    • pp.335.2-335
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    • 2002
  • Non-singular boundary element method (BEM) codes are developed in acoustics application. The BEM code is then used to calculate unknown boundary surface normal displacements and surface pressures from known exterior near field pressures. And then the calculated surface normal displacements and surface pressures are again applied to the BEM in forward in order to calculate reconstructed field pressures. (omitted)

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A study of Heat Transfer by the Finite Element Method - Around Square Heat Source - (유한요소법에 의한 열전달 연구 -4각열원 주위-)

  • 장재은
    • Journal of the Korean Society of Safety
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    • v.13 no.1
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    • pp.26-33
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    • 1998
  • This paper subdivided the interior solid into triangular shape of equal size to calculate the temperature distribution around the square heat source of it, and compared calculated values with measured ones. The result obtained are as follows. 1) It was found that we can calculate the temperature distribution around the square heat source of interior solid by the variational method of the finite element method as the calculated values were almost accord with the measured ones. 2) The temperature distributed were higher when the distances between heat source were farther and lower when those nearer. 3) Vertical surface temperature distribution is remarkably efficient by thermal conductivities.

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NORMAL FUZZY PROBABILITY FOR TRIGONOMETRIC FUZZY NUMBER

  • Yun, Yong-Sik;Song, Jae-Choong;Ryu, Sang-Uk
    • Journal of applied mathematics & informatics
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    • v.19 no.1_2
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    • pp.513-520
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    • 2005
  • We calculate the normal fuzzy probability for trigonometric fuzzy numbers defined by trigonometric functions. And we study the normal probability for some operations of two trigonometric fuzzy numbers. Furthermore, we calculate the normal fuzzy probability for some fuzzy numbers generated by operations.

Design and FEM Analysis of Ultrasonic Linear Motor (초음파 리니어 모터의 설계와 유한요소 해석)

  • 김태열
    • Proceedings of the Korean Society of Machine Tool Engineers Conference
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    • 1999.10a
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    • pp.210-215
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    • 1999
  • The standing waves of the fourth bending ode of vibration and the first longitudinal mode of vibration were utilized to construct a ultrasonic linear motor. The geometrical dimensions of the vibrator were determined by Euler-Bernoulli theory. FEM(finite element method) employed to calculate the vibration mode of the metal-piezoceramic composite thin plate vibrator. ANSYS was used to design positions of the projections and calculate displacement of vibrator.

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