• 제목/요약/키워드: linear functions

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일차방정식과 일차함수에 대한 현직교사와 예비교사의 인식 (A study on the difference between in-service and pre-service teachers' recognition for linear equations and linear functions)

  • 이헌수;김영철;박영용
    • 한국학교수학회논문집
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    • 제19권4호
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    • pp.395-415
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    • 2016
  • 본 연구는 방정식 및 함수와 관련된 현직교사와 예비교사의 인식의 차이를 알아보기 위하여 K시 관내 중 고등학교에 재직하고 있는 수학 교사 49명과 M대학교 사범대학 수학교육과에 재학중인 예비교사 29명을 대상으로 인식의 차이를 비교 분석하였다. 그 결과 다음과 같은 결론을 얻었다. 첫째, 현직교사와 예비교사 모두 미지수가 1개인 일차방정식을 미지수가 2개인 일차방정식보다 더 일차방정식으로 인식하는 경향이 있다. 둘째, 현직교사와 예비교사 모두 음함수 형태보다 양함수 형태로 표현된 일차함수를 일차함수로 더 인식하는 경향이 있다. 셋째, 일차방정식과 일차함수에 대한 현직교사와 예비교사의 인식은 통계적으로 유의미한 차이가 없었다.

A Non-Linear Exponential(NLINEX) Loss Function in Bayesian Analysis

  • Islam, A.F.M.Saiful;Roy, M.K.;Ali, M.Masoom
    • Journal of the Korean Data and Information Science Society
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    • 제15권4호
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    • pp.899-910
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    • 2004
  • In this paper we have proposed a new loss function, namely, non-linear exponential(NLINEX) loss function, which is quite asymmetric in nature. We obtained the Bayes estimator under exponential(LINEX) and squared error(SE) loss functions. Moreover, a numerical comparison among the Bayes estimators of power function distribution under SE, LINEX, and NLINEX loss function have been made.

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리니어 컴프레서를 위한 파라미터 추정 및 제어 (Parameter Identification and Control for Linear Compressors)

  • 김규식
    • 대한전기학회:학술대회논문집
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    • 대한전기학회 2006년도 심포지엄 논문집 정보 및 제어부문
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    • pp.243-245
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    • 2006
  • A closed-loop sensorless stroke control system for a linear compressor has been designed. The motor parameters are identified as a function of the piston position and the motor current. They are stored in ROM table and used later for the accurate estimation of piston position. Also it was attempted to approximate the identified motor parameters to the 2nd-order surface functions. Some experimental results are given in order to show the feasibility of the proposed control schemes for linear compressors.

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GROWTH OF SOLUTIONS OF NON-HOMOGENEOUS LINEAR DIFFERENTIAL EQUATIONS AND ITS APPLICATIONS

  • Pramanik, Dilip Chandra;Biswas, Manab
    • Korean Journal of Mathematics
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    • 제29권1호
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    • pp.65-73
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    • 2021
  • In this paper, we investigate the growth properties of solutions of the non-homogeneous linear complex differential equation L(f) = b (z) f + c (z), where L(f) is a linear differential polynomial and b (z), c (z) are entire functions and give some of its applications on sharing value problems.

Haar 웨이블릿을 이용한 선형시스템의 상태해석에 관한 연구 (Study for State Analysis of Linear Systems using Haar Wavelet)

  • 김범수;심일주
    • 제어로봇시스템학회논문지
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    • 제14권10호
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    • pp.977-982
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    • 2008
  • In this paper Haar functions are developed to approximate the solutions of continuous time linear system. Properties of Haar functions are first presented, and an explicit expression for the inverse of the Haar operational matrix is presented. Using the inverse of the Haar operational matrix the full order Stein equation should be solved in terms of the solutions of pure algebraic matrix equations, which reduces the computation time remarkably. Finally a numerical example is illustrated to demonstrate the validity of the proposed algorithm.

AN ENTIRE FUNCTION SHARING A POLYNOMIAL WITH LINEAR DIFFERENTIAL POLYNOMIALS

  • Ghosh, Goutam Kumar
    • 대한수학회논문집
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    • 제33권2호
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    • pp.495-505
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    • 2018
  • The uniqueness problems on entire functions sharing at least two values with their derivatives or linear differential polynomials have been studied and many results on this topic have been obtained. In this paper, we study an entire function f(z) that shares a nonzero polynomial a(z) with $f^{(1)}(z)$, together with its linear differential polynomials of the form: $L=L(f)=a_1(z)f^{(1)}(z)+a_2(z)f^{(2)}(z)+{\cdots}+a_n(z)f^{(n)}(z)$, where the coefficients $a_k(z)(k=1,2,{\ldots},n)$ are rational functions and $a_n(z){\not{\equiv}}0$.

ADAPTIVE CHANDRASEKHAR FILLTER FOR LINEAR DISCRETE-TIME STATIONALY STOCHASTIC SYSTEMS

  • Sugisaka, Masanori
    • 제어로봇시스템학회:학술대회논문집
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    • 제어로봇시스템학회 1988년도 한국자동제어학술회의논문집(국제학술편); 한국전력공사연수원, 서울; 21-22 Oct. 1988
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    • pp.1041-1044
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    • 1988
  • This paper considers the design problem of adaptive filters based an the state-space models for linear discrete-time stationary stochastic signal processes. The adaptive state estimator consists of both the predictor and the sequential prediction error estimator. The discrete Chandrasakhar filter developed by author is employed as the predictor and the nonlinear least-squares estimator is used as the sequential prediction error estimator. Two models are presented for calculating the parameter sensitivity functions in the adaptive filter. One is the exact model called the linear innovations model and the other is the simplified model obtained by neglecting the sensitivities of the Chandrasekhar X and Y functions with respect to the unknown parameters in the exact model.

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A GENETIC ALGORITHM BASED ON OPTIMALITY CONDITIONS FOR NONLINEAR BILEVEL PROGRAMMING PROBLEMS

  • Li, Hecheng;Wang, Yuping
    • Journal of applied mathematics & informatics
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    • 제28권3_4호
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    • pp.597-610
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    • 2010
  • For a class of nonlinear bilevel programming problems in which the follower's problem is linear, the paper develops a genetic algorithm based on the optimality conditions of linear programming. At first, we denote an individual by selecting a base of the follower's linear programming, and use the optimality conditions given in the simplex method to denote the follower's solution functions. Then, the follower's problem and variables are replaced by these optimality conditions and the solution functions, which makes the original bilevel programming become a single-level one only including the leader's variables. At last, the single-level problem is solved by using some classical optimization techniques, and its objective value is regarded as the fitness of the individual. The numerical results illustrate that the proposed algorithm is efficient and stable.

Harltley 함수를 이용한 선형시스템의 상태해석에 관한 연구 (Study for State Analysis of Linear Systems by using Hartley Functions)

  • 김범수;민치현
    • 제어로봇시스템학회논문지
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    • 제18권9호
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    • pp.806-811
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    • 2012
  • In this paper Hartley functions are used to approximate the solutions of continuous time linear dynamical system. The Hartley function and its integral operational matrix are first presented, an efficient algorithm to solve the Stein equation is proposed. The algorithm is based on the compound matrix and the inverse of sum of matrices. Using the structure of the Hartley's integral operational matrix, the full order Stein equation should be solved in terms of the solutions of pure algebraic matrix equations, which reduces the computation time remarkably. Finally a numerical example is illustrated to demonstrate the validity of the proposed algorithm.

C.V.P. 분석에 있어서 학습곡선의 적용에 관한 연구 (A Study on the Cost-Volume-Profit Analysis Adjusted for Learning Curve)

  • 연경화
    • 산업경영시스템학회지
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    • 제5권6호
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    • pp.69-78
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    • 1982
  • Traditional CVP (Cost-Volume-Profit) analysis employs linear cost and revenue functions within some specified time period and range of operations. Therefore CVP analysis is assumption of constant labor productivity. The use of linear cost functions implicity assumes, among other things, that firm's labor force is either a homogenous group or a collection homogenous subgroups in a constant mix, and that total production changes in a linear fashion through appropriate increase or decrease of seemingly interchangeable labor unit. But productivity rates in many firms are known to change with additional manufacturing experience in employee skill. Learning curve is intended to subsume the effects of all these resources of productivity. This learning phenomenon is quantifiable in the form of a learning curve, or manufacturing progress function. The purpose d this study is to show how alternative assumptions regarding a firm's labor force may be utilize by integrating conventional CVP analysis with learning curve theory, Explicit consideration of the effect of learning should substantially enrich CVP analysis and improve its use as a tool for planning and control of industry.

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