• 제목/요약/키워드: Problem of Moments

검색결과 176건 처리시간 0.026초

RANDOM CHORD IN A CIRCLE AND BERTRAND'S PARADOX: NEW GENERATION METHOD, EXTREME BEHAVIOUR AND LENGTH MOMENTS

  • Vidovic, Zoran
    • 대한수학회보
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    • 제58권2호
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    • pp.433-444
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    • 2021
  • In this paper a new generating procedure of a random chord is presented. This problem has its roots in the Bertrand's paradox. A study of the limit behaviour of its maximum length and the rate of convergence is conducted. In addition, moments of record values of random chord length are obtained for this case, as well as other cases of solutions of Bertrand's paradox.

2D Microwave Image Reconstruction of Breast Cancer Detector Using a Simplex Method and Method of Moments

  • Kim, Ki-Chai;Cho, Byung-Doo;Kim, Tae-Hong;Lee, Jong-Moon;Jeon, Soon-Ik;Pack, Jeong-Ki
    • Journal of electromagnetic engineering and science
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    • 제10권4호
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    • pp.199-205
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    • 2010
  • This paper presents a tumor detection system for breast cancer that utilizes two-dimensional (2D) image reconstruction with microwave tomographic imaging. The breast cancer detection system under development consists of 16 transmit/receive antennas, and the microwave tomography system operates at 900 MHz. To solve a 2D inverse scattering problem, the method of moments (MoM) is employed for forward problem solving, and the simplex method employed as an optimization algorithm. The results of the reconstructed image show that the method accurately shows the position of a breast tumor.

Stochastic finite element method homogenization of heat conduction problem in fiber composites

  • Kaminski, Marcin
    • Structural Engineering and Mechanics
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    • 제11권4호
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    • pp.373-392
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    • 2001
  • The main idea behind the paper is to present two alternative methods of homogenization of the heat conduction problem in composite materials, where the heat conductivity coefficients are assumed to be random variables. These two methods are the Monte-Carlo simulation (MCS) technique and the second order perturbation second probabilistic moment method, with its computational implementation known as the Stochastic Finite Element Method (SFEM). From the mathematical point of view, the deterministic homogenization method, being extended to probabilistic spaces, is based on the effective modules approach. Numerical results obtained in the paper allow to compare MCS against the SFEM and, on the other hand, to verify the sensitivity of effective heat conductivity probabilistic moments to the reinforcement ratio. These computational studies are provided in the range of up to fourth order probabilistic moments of effective conductivity coefficient and compared with probabilistic characteristics of the Voigt-Reuss bounds.

이중 링 마스크 저니키 모멘트를 이용한 손동작 인식 (Gesture Recognition Using Zernike Moments Masked By Duel Ring)

  • 박정수;김태용
    • 전자공학회논문지
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    • 제50권10호
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    • pp.171-180
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    • 2013
  • 일반적으로 저니키 모멘트 값을 이용한 매칭 시에는 외접원 안에 속하는 이미지 정보를 Zernike 기저함수로 투영시켜 얻은 모멘트 값을 이용하여 매칭에 사용한다. 하지만 손 이미지의 특성상 무게중심 부근에 중복되는 정보가 많이 포함되는데 이로 인해 변별력이 떨어질 수 있는 문제점이 있다. 또한 중복되는 정보를 제외한 이미지 정보들 중에서 특정 영역에 있는 정보들은 손의 모양정보를 구분하는데 변별력을 높여줄 수 있다. 본 논문에서는 이러한 문제점을 해결하기 위해 중복되는 정보를 제거하는 R1 링 마스크를 통해 얻은 이미지와 변별력을 높여 줄 수 있는 정보에 가중치를 부여하는 R2 링 마스크를 통해 얻은 이미지를 결합하여 R3 링 마스크를 설계한다. R3 링 마스크를 이용하여 얻은 모멘트들을 주성분분석(PCA)을 통해 차원을 축소함으로써 매칭량을 감소시킨다. 제안한 방법의 우수성을 확인하기 위해 7가지 손 모양을 다른 방법과 비교실험 하였으며, 그 결과 우수성을 확인 할 수 있었다.

1MW급 풍력 터빈 블레이드의 허브 및 드라이브 트레인 공력 하중 해석 (Aerodynamic Load Analysis at Hub and Drive Train for 1MW HAWT Blade)

  • 조봉현;이창수;최성옥;유기완
    • 한국신재생에너지학회:학술대회논문집
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    • 한국신재생에너지학회 2005년도 춘계학술대회
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    • pp.25-32
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    • 2005
  • The aerodynamic loads at the blade hub and the drive shaft for 1MW horizontal axis wind turbine are calculated numerically. The geometric shape of the blade such as chord length and twist angle can be obtained fran the aerodynamic optimization procedure. Various airfoil data, that is thick airfoils at hub side and thin airfoils at tip side, are distributed along the spanwise direction of the rotor blade. Under the wind data fulfilling design load cases based on the IEC61400-1, all of the shear forces, bending moments at the hub and the low speed shaft of the drive train are obtained by using the FAST code. It shows that shear forces and bending moments have a periodic. trend. These oscillating aerodynamic loads will lead to the fatigue problem at both of the hub and drive train From the load analysis the maximum shear forces and bending moments are generated when wind turbine generator system operates in the case of the extreme speed wind condition.

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Min-Max Stochastic Optimization with Applications to the Single-Period Inventory Control Problem

  • Park, Kyungchul
    • Management Science and Financial Engineering
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    • 제21권1호
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    • pp.11-17
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    • 2015
  • Min-max stochastic optimization is an approach to address the distribution ambiguity of the underlying random variable. We present a unified approach to the problem which utilizes the theory of convex order on the random variables. First, we consider a general framework for the problem and give a condition under which the convex order can be utilized to transform the min-max optimization problem into a simple minimization problem. Then extremal distributions are presented for some interesting classes of distributions. Finally, applications to the single-period inventory control problems are given.

왕복동형 압축기 피스톤-실린더계의 동적 거동 및 윤활특성 해석 (Analysis of the Dynamic Behavior and Lubrication Characteristics of the Piston-Cylinder System in Reciprocating Compressors)

  • 김태종
    • Tribology and Lubricants
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    • 제18권4호
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    • pp.291-298
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    • 2002
  • In this study, a numerical analysis f3r the piston secondary dynamics and lubrication characteristics of small refrigeration reciprocating compressors is presented. In general, the length of cylinder in this class of compressors is shortened to diminish the frictional losses of the piston-cylinder system. So, the contacting length between piston and cylinder wall is in variable with the rotating crank angle around the BDC of the reciprocating piston. In the problem formulation of the piston dynamics, the change in bearing length of the piston and all corresponding forces and moments are considered in order to determine the piston trajectory, velocity and acceleration at each step. A Newton-Raphson procedure was employed in solving the secondary dynamic equations of the piston. The developed computer program can be used to calculate the entire piston trajectory and the hydrodynamic forces and moments as functions of crank angle under compressor running conditions. The results explored the effects of the radial clearance, lubricant viscosity, and pin location on the stability of the piston, the oil leakage, and friction losses.

Moment Inequalities for Testing New Renewal Better Than Used and Renewal New Better Than Used Classes of Life Distributions

  • Mahmoud, M.A.W.;El-Arishy, S.M.;Diab, L.S.
    • International Journal of Reliability and Applications
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    • 제4권3호
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    • pp.113-129
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    • 2003
  • Based on moments inequalities new testing procedures are derived for testing exponentiality against new renewal better than used (NRBU) and renewal new better than used (RNBU). These classes play an important role in formulating repair or replacement policies. The asymptotic Pitman efficiency of (NRBU) and (RNBU) testes are studied. Selected critical values are tabulated for sample sizes n=5(1) 50. The power estimates for some commonly used life distributions in reliability are also calculated. Some set of real data is used as an example to elucidate the use of the proposed test statistic for practical reliability analysis. The problem in case of right-censored data is also handled.

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기둥을 이용한 다축 힘/모멘트 감지 방법에 관한 연구 (Sensing method of multi-component forces and moments using a column structure)

  • 신홍호;강대임;박연규;김종호;주진원;김옥현
    • 대한기계학회:학술대회논문집
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    • 대한기계학회 2001년도 춘계학술대회논문집A
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    • pp.837-841
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    • 2001
  • The column-type sensing element in building and mechanical construction parts was designed as three forces and three moments sensor by attaching strain gages approximately. Compared to conventional multi-component sensor, the designed sensor can solve the problem about low stiffness and high cost. The radius of the column was designed analytically and compared with finite element analysis. The coupling errors between components were minimized by using addition and subtraction procedure of signals. The fabricated sensor was tested by using a deadweight force standard machine and a six-component force calibration machine in Korea Research Institute of Standards and Science(KRISS). The calibration showed that the multi-component force/moment sensor had coupling error less than 19.8 % between $F_x$ and $M_y$ components, and 9.0 % in case of other components.

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모멘트법을 이용한 경계면에 부분적으로 파묻힌 실린더의 음향 후방산란에 대한 수치해석 (Numerical Analysis of the Backscattering Amplitude for a Partially Buried Cylinder on a Flat Interface Using Method of Moments)

  • 백경민
    • 한국음향학회지
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    • 제33권5호
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    • pp.282-290
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    • 2014
  • 매끈한 물체에 의한 음향산란에 관한 수치해석은 발전해 왔으나 경계면에 위로 부분적으로 드러나 있는 물체에 의한 음향산란에 대한 수치해석은 여전히 드물다. 해저면에 부분적으로 파묻힌 실린더의 후방산란진폭을 결정함에 있어 경계면에 의한 잔향은 표적의 산란 함수 특성을 변화시킨다. 본 연구는 평탄한 경계면에 부분적으로 파묻힌 실린더의 후방산란진폭에 대한 수치해석을 제시하기 위하여 모멘트법(Method of Moments)을 채택하였다. 제시된 수치해석은 측정 및 키르히호프 근사법으로 얻은 해석적인 해와 상당한 일치를 보여주었다. 본 연구에서 기술된 수치해석은 해저면에서의 잔향과 표적으로부터의 산란파를 결합시킴으로써 해저면에 부분적으로 파묻힌 어떠한 형상의 표적에 대한 후방산란 문제에도 적용될 수 있다.