• Title/Summary/Keyword: number operator

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Optimal Capacitor Placement and Control using Genetic Algorithms in Unbalanced Distribution Systems. (불평형 배전계통에 있어서 유전알고리즘을 이용한 커패시터의 적정 배치 및 제어)

  • Kim, Kyu-Ho;You, Seok-Ku
    • The Transactions of the Korean Institute of Electrical Engineers A
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    • v.48 no.7
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    • pp.839-846
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    • 1999
  • This paper presents an efficient algorithm for determining the location, size and number of capacitors in unbalanced radial distribution system. The objective function formulated consists of two terms: cost for energy loss and cost related to capacitor purchase and capacitor installation. The cost function associated with capacitor placement is considered as step function due to banks of standard discrete capacities. Genetic algorithms(GA) are used to obtain the population is derived. The strings in each population consist of the bus number index and size of capacitors to be installed. In order to determine the number of capacitor placement, the length mutation operator is used. Its efficiency is proved through the application in unbalanced radial distribution systems made of 10 buses with 9 distribution lines and 25 buses with 24 distribution lines.

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Human Sensitivity Responses to Vibrotactile Stimulation on the Hand : Measurement of Absolute Thresholds (진동식 촉각 자극에 대한 손의 절대 민감도 반응)

  • Lee, Seong-Il
    • Journal of the Ergonomics Society of Korea
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    • v.17 no.2
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    • pp.1-10
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    • 1998
  • The objective of this study is to investigate hwnan operator's perceptual and psychophysical responses to vibrotactile stimulation on various parts of the hand. Using a small vibrotactile display, five different loci of the hand along with two other mechanical parameters consisting vibrotactile stimulations, which are vibration frequency and number of active contactors, were examined for the effects on absolute thresholds. All test variables were found to have significant effects on thresholds. It was observed that absolute threshold is a function of vibration frequency and number of active contactors. Tactile sensitivity was the greatest at the vibration frequency of 240 Hz, and the fingertip was found to be the most sensitive locus on the hand. The area of stimulation on the hand was also found to be significant in that the sensitivity increased with the number of active contactors. The results of the study generally supported those of other previous studies. It should also be noted, however, that the conclusions from the study should be limited to the absolute sensitivity, not to the suprathreshold intensities of normal everyday contact with the hands.

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DISEASE TRANSMISSION MSEIR MODEL WITH INDIVIDUALS TRAVELING BETWEEN PATCHES i AND i + 1

  • Chaharborj, Sarkhosh Seddighi;Bakar, Mohd Rizam Abu;Ebadian, Alli
    • Journal of applied mathematics & informatics
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    • v.28 no.5_6
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    • pp.1073-1088
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    • 2010
  • In this article we want to formulate a disease transmission model, MSEIR model, for a population with individuals travelling between patches i and i + 1 and we derive an explicit formula for the basic reproductive number, $R_0$, employing the spectral radius of the next generation operator. Also, in this article we show that a system of ordinary differential equations for this model has a unique disease-free equilibrium and it is locally asymptotically stable if $R_0$ < 1 and unstable if $R_0$ > 1.

On the structure of discrete spectrum of the non-selfadjoint system of differential equations in the first order

  • Akin, Omer;Bairamov, Elgiz
    • Journal of the Korean Mathematical Society
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    • v.32 no.3
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    • pp.401-413
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    • 1995
  • This paper is concerned with the problem given below $$ (1.1) i\frac{dx}{du_1(x,\lambda)} + q1(x)u_2(x,\lambda) = \lambdau_1(x,\lambda) 0 \leq x < \infty - i\frac{dx}{du_2(x,\lambda)} + q2(x)u_1(x,\lambda) = \lambdau_2(x,\lambda), $$ $$ (2) u_2(0,\lambda) - hu_1(0,\lambda) = 0 $$ where $\lambda$ is a complex parameter and h is a non-zero complex number.

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LINEAR PRESERVERS OF SPANNING COLUMN RANK OF MATRIX PRODUCTS OVER SEMIRINGS

  • Song, Seok-Zun;Cheon, Gi-Sang;Jun, Young-Bae
    • Journal of the Korean Mathematical Society
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    • v.45 no.4
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    • pp.1043-1056
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    • 2008
  • The spanning column rank of an $m{\times}n$ matrix A over a semiring is the minimal number of columns that span all columns of A. We characterize linear operators that preserve the sets of matrix ordered pairs which satisfy multiplicative properties with respect to spanning column rank of matrices over semirings.

A New Details Extraction Technique for Video Sequence Using Morphological Laplacian (수리형태학적 Laplacian 연산을 이용한 새로운 동영상 Detail 추출 기법)

  • 김희준;어진우
    • Proceedings of the IEEK Conference
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    • 1998.10a
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    • pp.911-914
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    • 1998
  • In this paper, the importance of including small image features at the initial levels of a progressive second generation video coding scheme is presented. It is shown that a number of meaningful small features called details shouuld be coded in order to match their perceptual significance to the human visual system. We propose a method for extracting, perceptually selecting and coding of visual details in a video sequence using morphological laplacian operator and modified post-it transform is very efficient for improving quality of the reconstructed images.

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WICK DERIVATIONS ON WHITE NOISE FUNCTIONALS

  • Chung, Dong-Myung;Chung, Tae-Su
    • Journal of the Korean Mathematical Society
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    • v.33 no.4
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    • pp.993-1008
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    • 1996
  • The white noise analysis, initiated by Hida [3] in 1975, has been developed to an infinite dimensional distribution theory on Gaussian space $(E^*, \mu)$ as an infinite dimensional analogue of Schwartz distribution theory on Euclidean space with Legesgue measure. The mathematical framework of white noise analysis is the Gel'fand triple $(E) \subset (L^2) \subset (E)^*$ over $(E^*, \mu)$ where $\mu$ is the standard Gaussian measure associated with a Gel'fand triple $E \subset H \subset E^*$.

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COMPUTATIONS ON PRECONDITIONING CUBIC SPLINE COLLOCATION METHOD OF ELLIPTIC EQUATIONS

  • Lee, Yong-Hun
    • Journal of applied mathematics & informatics
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    • v.8 no.2
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    • pp.371-386
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    • 2001
  • In this work we investigate the finite element preconditioning method for the $C^1$-cubic spline collocation discretizations for an elliptic operator A defined by $Au := -{\Delta}u + a_1u_x+a_2u_y+a_0u$ in the unit square with some boundary conditions. We compute the condition number and the numerical solution of the preconditioning system for the several example problems. Finally, we compare the this preconditioning system with the another preconditioning system.

Development of Control Algorithm and Pick & Placer (반도체 소자 Pick &Placer 및 제어 알고리즘 개발)

  • 심성보;김재희;유범상
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 2004.10a
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    • pp.1339-1343
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    • 2004
  • This paper presents a development of the control algorithm and Pick & Placer. The Pick & Placer provides a powerful multi-task system that includes both graphical and remote interface. Users can easily set up sorting parameters and record important data including wafer number, data, and operator information. This System sets up a dustproof device and massively machined components to provide an extremely stable sorting environment. Precise resolution and accuracy result from using machine vision, a pneumatic slide drive and close -looped positioning.

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EXTREME PRESERVERS OF TERM RANK INEQUALITIES OVER NONBINARY BOOLEAN SEMIRING

  • Beasley, LeRoy B.;Heo, Seong-Hee;Song, Seok-Zun
    • Journal of the Korean Mathematical Society
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    • v.51 no.1
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    • pp.113-123
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    • 2014
  • The term rank of a matrix A over a semiring $\mathcal{S}$ is the least number of lines (rows or columns) needed to include all the nonzero entries in A. In this paper, we characterize linear operators that preserve the sets of matrix ordered pairs which satisfy extremal properties with respect to term rank inequalities of matrices over nonbinary Boolean semirings.