• Title/Summary/Keyword: Linear function

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Spectrums of Chua's Oscillator Circuit with Five - Segment Piecewise - Linear Function (5구분 선형 함수에 의한 카오스 발진회로의 스펙트럼)

  • 김남호
    • Journal of Advanced Marine Engineering and Technology
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    • v.21 no.1
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    • pp.71-81
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    • 1997
  • This paper describes an implementation of Chua's oscillator circuits with five - segment piecewise -linear function. Some bifurcation phenomena and chaotic attractors observed experimentally from the laboratory model and simulated by computer for the model are also presented. The Chua's oscillator circuit is implemented with analog electronic devices. Com¬paring both the observations and simulations, the spectrums are satisfactory.

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THE MINIMAL FREE RESOLUTION OF THE UNION OF TWO LINEAR STAR-CONFIGURATIONS IN ℙ2

  • Shin, Yong-Su
    • Communications of the Korean Mathematical Society
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    • v.31 no.4
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    • pp.683-693
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    • 2016
  • In [1], the authors proved that the finite union of linear star-configurations in $\mathbb{P}^2$ has a generic Hilbert function. In this paper, we find the minimal graded free resolution of the union of two linear star-configurations in $\mathbb{P}^2$ of type $s{\times}t$ with $\(^t_2\){\leq}s$ and $3{\leq}t$.

ON GROWTH PROPERTIES OF TRANSCENDENTAL MEROMORPHIC SOLUTIONS OF LINEAR DIFFERENTIAL EQUATIONS WITH ENTIRE COEFFICIENTS OF HIGHER ORDER

  • Biswas, Nityagopal;Datta, Sanjib Kumar;Tamang, Samten
    • Communications of the Korean Mathematical Society
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    • v.34 no.4
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    • pp.1245-1259
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    • 2019
  • In the paper, we study the growth properties of meromorphic solutions of higher order linear differential equations with entire coefficients of [p, q] - ${\varphi}$ order, ${\varphi}$ being a non-decreasing unbounded function and establish some new results which are improvement and extension of some previous results due to Hamani-Belaidi, He-Zheng-Hu and others.

THE PRE-SERVICE SECONDARY TEACHERS' PRESCRIPTION FOR THE MIDDLE SCHOOL STUDENTS' ERRORS IN LINEAR FUNCTIONS

  • KIM, HUIJIN;PYO, SUNG-SOO;KWON, JONGKYUM
    • East Asian mathematical journal
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    • v.31 no.4
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    • pp.609-625
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    • 2015
  • This study was subjected to 9th graders after making a conformity analysis about errors in function from a selected linear function domain learned in 8th grade, and using this we analyzed some errors learners have in the linear function domain. Learners showed the most deficiency in mastery of prerequisite facts concepts out of errors in linear functions and lack of skill in interpreting the content of the questions and technical errors occurred often as well. How the pre-service secondary school teachers prescribed these errors of linear function was analyzed from the point of problem solving strategies, accessing methods and whether or not the learner's error was used. Looking into the pre-service secondary teachers' prescription of the learners' errors in 3 fields, for the problem solving strategy a procedural strategy was used more than a conceptual strategy, and as for the accessing methods over 90% gave teacher led type explanations to the students. Also over 90% of pre-service secondary teachers did not use the learner's errors that turned up in problems.

Simulation of Motion Accuracy Considering Loads in Linear Motion Units (부하를 고려한 직선운동유니트의 정밀도 시뮬레이션 기술)

  • Khim, Gyungho;Park, Chun Hong;Oh, Jeong Seok
    • Journal of the Korean Society for Precision Engineering
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    • v.32 no.5
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    • pp.405-413
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    • 2015
  • This paper presents the motion accuracy simulation considering loads such as workpiece weight, cutting force, cogging force of a linear motor, and force caused by misalignment and runout error of a ballscrew in linear motion units. The transfer function method is basically utilized to estimate 5-DOF motion errors, together with the equilibrium equations of force and moment on the table. The transfer function method is modified in order to consider clearance changed according to the loads in the double sided hydrostatic/aerostatic bearings. Then, the analytic model for predicting the 5-DOF motion errors is proposed with the modified transfer function method. Motion errors were simulated under different loading conditions in the linear motion units using hydrostatic, aerostatic, and linear motion bearings, respectively. And the proposed analytic model was verified by comparing the estimated and measured motion errors.

Forced Vibration of Car Seat and mannequin System (자동차 시트 및 마네킹 시스템의 강제 진동)

  • Kim, Seong-Geol
    • Journal of the Korean Society for Precision Engineering
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    • v.17 no.9
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    • pp.122-132
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    • 2000
  • A simplified modeling approach of forced vibration for occupied car seats was demonstrated by using a mathematical model presented in 'Free Vibration of Car seat and Mannequin System' nonlinear and linear equations of motions were rederived for forced vibration and the transfer function was used to calculate the frequency response function. The experimental apparatus were set up and hydraulic shaker was used to obtain the system responses. Through the tests mannequin's head had a lot of problems and the responses with a head and without a head were measured. To explore the effects of linear dampings and friction moments at the joints linear analyses were performed. New sets of linear spring and damping coefficients and torsional dampings at the joints were calculated through parameter study to match up with experimental results. Good agreement between experimental and simulation frequency response estimates were obtained both in terms of locations of resonances and system deflection shapes at resonance indicating that this is a feasible method of modeling seated occupants.

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Efficient LDPC Decoding Algorithm Using Node Monitoring (노드 모니터링에 의한 효율적인 LDPC 디코딩 알고리듬)

  • Suh, Hee-Jong
    • The Journal of the Korea institute of electronic communication sciences
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    • v.10 no.11
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    • pp.1231-1238
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    • 2015
  • In this paper, we proposed an efficient algorithm using Node monitoring (NM) and Piecewise Linear Function Approximation(: NP) for reducing the complexity of LDPC code decoding. Proposed NM algorithm is based on a new node-threshold method together with message passing algorithm. Piecewise linear function approximation is used to reduce the complexity of the algorithm. This new algorithm was simulated in order to verify its efficiency. Complexity of our new NM algorithm is improved to about 20% compared with well-known methods according to simulation results.

A Study on EMG Signal Processing Using Linear Prediction (선형예측을 이용한 EMG 신호처리에 관한 연구)

  • ;邊潤植;李建基
    • Journal of the Korean Institute of Telematics and Electronics
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    • v.24 no.2
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    • pp.280-291
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    • 1987
  • In this paper, the linear autoregressive model of EMG signal for four basic arm functions was presented and parameters for each function were estimated. The signal identification was carried out using function discrimination algorithm. It was validated that EMG signal was a widesense stationary process and the linear autoregressive model of EMG signal was constructed through approximating it to Gaussian process. It was confined that Levinson-Durbin algoridthm is a more appropriate one than the recursive least square method for parameter estimation of the linear model. Optimal function discrimination was acquired when sampling frequency was 500Hz and two electrodes were attached to bicep and tricep muscle, respectively. Parameter values were independent of variance and the number of minimum data for function discrimination was 200. Bayesian discrimination method turned out to be a better one than parallel filtering method for functional discrimination recognition.

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Vibration of Car Seat and Mannequin System II (자동차 시트 및 마네킹 시스템의 진동 II)

  • Kim, Seong-Keol;Kim, Joon-Hyun;Park, Ki-Hong
    • Proceedings of the KSME Conference
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    • 2001.06b
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    • pp.398-403
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    • 2001
  • A simplified modeling approach of forced vibration for occupied car seats was demonstrated by using a mathematical model presented in previous paper. Nonlinear and linear equations of motions were rederived for forced vibration, and the transfer function was used to calculate the frequency response function. The experimental apparatus were set up and hydraulic shaker was used to obtain the system responses. Through the tests, mannequin's head had a lot of problems, and the responses with a head and without a head were measured. To explore the effects of linear dampings and friction moments at the joints, linear analyses were performed. New sets of linear spring and damping coefficients, and torsional dampings at the joints were calculated through parameter study to match up with experimental results. Good agreement between experimental and simulation frequency response estimates were obtained both in terms of locations of resonances and system deflection shapes at resonance, indicating that this is a feasible method of modeling seated occupants.

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Analysis and Optimal Control of Linear Time-delay Systems via Fast Walsh Transform (고속윌쉬변환에 의한 선형시지연계의 해석 및 최적제어)

  • Han, Sang-In;Lee, Myeong-Gyu;Kim, Jin-Tae;An, Du-Su
    • The Transactions of the Korean Institute of Electrical Engineers A
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    • v.48 no.5
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    • pp.601-606
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    • 1999
  • A Walsh function method is proposed in this report for the analysis and optimal control of linear time-delay systems, which is based on the Picard's iterative approximation and fast Walsh transformation. In this research, the following results are obtained: 1) The differential and integral equation can be solved by transforming into a simple algebraic equation as it was possible with the usual orthogonal function method: 2) General orthogonal function methods require usage of Walsh operational matrices for delay or advance and many calculations of inverse matrices, which are not necessary in this method. Thus, the control problems of linear time-delay systems can be solved much faster and readily.

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