• Title/Summary/Keyword: linear type

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FUZZY ALGEBRAIC ADAPTIVE SYSTEMS BASED ON LINEAR COMBINERS

  • Teodorescu, H.N.;Anghelescu, M.;Belous, V.
    • Proceedings of the Korean Institute of Intelligent Systems Conference
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    • 1993.06a
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    • pp.773-776
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    • 1993
  • A design method for linear combiner type filters, based on a fuzzy variant of the usual design method, is introduced and analyzed. Design results are exemplified.

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VECTORIAL LINEAR CONNECTIONS

  • Hwajeong Kim
    • Journal of the Chungcheong Mathematical Society
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    • v.36 no.3
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    • pp.163-169
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    • 2023
  • In this article, we consider a vectorial linear connection which is determined by three fixed vector fields. Classifying these vectorial connections, we obtain a new type of generalized statistical manifolds which allow non-zero torsion.

A NOTE ON STATISTICAL MANIFOLDS WITH TORSION

  • Hwajeong Kim
    • Communications of the Korean Mathematical Society
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    • v.38 no.2
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    • pp.621-628
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    • 2023
  • Given a linear connection ∇ and its dual connection ∇*, we discuss the situation where ∇ + ∇* = 0. We also discuss statistical manifolds with torsion and give new examples of some type for linear connections inducing the statistical manifolds with non-zero torsion.

ON A SEQUENCE OF KANTOROVICH TYPE OPERATORS VIA RIEMANN TYPE q-INTEGRAL

  • Bascanbaz-Tunca, Gulen;Erencin, Aysegul;Tasdelen, Fatma
    • Bulletin of the Korean Mathematical Society
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    • v.51 no.2
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    • pp.303-315
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    • 2014
  • In this work, we construct Kantorovich type generalization of a class of linear positive operators via Riemann type q-integral. We obtain estimations for the rate of convergence by means of modulus of continuity and the elements of Lipschitz class and also investigate weighted approximation properties.

Statistical Classification of Highway Segments for Improving the Efficiency of Short-term Traffic Count Planning (효율적인 교통량 조사를 계획하기 위한 조사구간의 통계적 특성 분류 연구)

  • Jung, YooSeok;Oh, JuSam
    • International Journal of Highway Engineering
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    • v.18 no.3
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    • pp.109-114
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    • 2016
  • PURPOSES : The demand for extending national highways is increasing, but traffic monitoring is hindered because of resource limitations. Hence, this study classified highway segments into 5 types to improve the efficiency of short-term traffic count planning. METHODS : The traffic volume trends of 880 highway segments were classified through R-squared and linear regression analyses; the steadiness of traffic volume trends was evaluated through coefficient of variance (COV), and the normality of the data were determined through the Shapiro-Wilk W-test. RESULTS : Of the 880 segments, 574 segments had relatively low COV and were classified as type 1 segments, and 123 and 64 segments with increasing and decreasing traffic volume trends were classified as type 2 and type 3 segments, respectively; 80 segments that failed the normality test were classified as type 4, and the remaining 39 were classified as type 5 segments. CONCLUSIONS : A theoretical basis for biennial count planning was established. Biennial count is recommended for types 1~4 because their mean absolute percentage errors (MAPEs) are approximately 10%. For type 5 (MAPE =19.26%), the conventional annual count can be continued. The results of this analysis can reduce the traffic monitoring budget.

Identification of Volterra Kernels of Nonlinear System Having Backlash Type Nonlinearity

  • Rong, Li;Kashiwagi, H.;Harada, H.
    • 제어로봇시스템학회:학술대회논문집
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    • 1999.10a
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    • pp.141-144
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    • 1999
  • The authors have recently developed a new method for identification of Volterra kernels of nonlinear systems by use of pseudorandom M-sequence and correlation technique. And it is shown that nonlinear systems which can be expressed by Volterra series expansion are well identified by use of this method. However, there exist many nonlinear systems which can not be expressed by Volterra series mathematically. A nonlinear system having backlash type nonliear element is one of those systems, since backlash type nonlinear element has multi-valued function between its input and output. Since Volterra kernel expression of nonlinear system is one of the most useful representations of non-linear dynamical systems, it is of interest how the method of Volterra kernel identification can be ar plied to such backlash type nonlinear system. The authors have investigated the effect of application of Volterra kernel identification to those non-linear systems which, accurately speaking, is difficult to express by use of Volterra kernel expression. A pseudorandom M-sequence is applied to a nonlinear backlash-type system, and the crosscorrelation function is measured and Volterra kernels are obtained. The comparison of actual output and the estimated output by use of measured Volterra kernels show that we can still use Volterra kernel representation for those backlash-type nonlinear systems.

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A Study on the Determining Initial Ignoring Time for the Analysis of Ground Thermal Conductivity of SCW Type Ground Heat Exchanger (SCW형 지중 열교환기의 지중 열전도도 해석에서 초기제외시간 결정에 관한 연구)

  • Chang, Keun-Sun;Kim, Min-Jun;Kim, Young-Jae
    • Korean Journal of Air-Conditioning and Refrigeration Engineering
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    • v.26 no.10
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    • pp.453-459
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    • 2014
  • This paper presents an analysis on the initial ignoring time of SCW type GHX using Mean Square Error method. Line source method is a useful method for estimating the ground thermal conductivity for the vertical type and SCW type GHX in Korea. The line source method for ground thermal conductivity of geothermal in-site test is the basis of linear approximation between the temperature of a borehole and logarithmic time in a GHX. To apply the line source method to the estimation of SCW type GHX, it is necessary to ignore the initial time of data at the stage of a linear approximation. This paper proposed a new initial ignoring time of SCW type GHX among various initial ignoring time at the time for reaching MSE of $0.02^{\circ}C^2$.

Design and Characteristics of Ultrasonic Linear Motor Using $L_14-$B_4$Sandwich-type Vibrator ($L_14-$B_4$샌드위치형 진동자를 이용한 선형 초음파 모터의 설계 및 특성)

  • ;;;;Kenji Uchino
    • Journal of the Korean Institute of Electrical and Electronic Material Engineers
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    • v.13 no.12
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    • pp.1025-1031
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    • 2000
  • An ultrasonic linear motors consist of a slider and an ultrasonic vibrator which generates an elliptical oscillations. The ultrasonic linear motors mainly consist of an ultrasonic vibrator which generates elliptical oscillations. The ultrasonic linear motor fabricated in this paper was the use of the 1st longitudinal(L1) and 4th bending vibrations(B4). In order to low driving voltage and improve the life time of the ultrasonic motor, we used stacked piezoceramics. Stacked piezoceramics are adhered to aluminum elastic material. The finite element method was used to optimize dimension of ultrasonic vibrator and direction of vibratory displacement. As a result of estimating the characteristics of the ultrasonic linear motor, no-load velocity was 0.204[m/s] when applied voltage was 70[ $V_{rms}$] in resonance frequency.y.

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NOTE ON STRONG LAW OF LARGE NUMBER UNDER SUB-LINEAR EXPECTATION

  • Hwang, Kyo-Shin
    • East Asian mathematical journal
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    • v.36 no.1
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    • pp.25-34
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    • 2020
  • The classical limit theorems like strong law of large numbers, central limit theorems and law of iterated logarithms are fundamental theories in probability and statistics. These limit theorems are proved under additivity of probabilities and expectations. In this paper, we investigate strong law of large numbers under sub-linear expectation which generalize the classical ones. We give strong law of large numbers under sub-linear expectation with respect to the partial sums and some conditions similar to Petrov's. It is an extension of the classical Chung type strong law of large numbers of Jardas et al.'s result. As an application, we obtain Chung's strong law of large number and Marcinkiewicz's strong law of large number for independent and identically distributed random variables under the sub-linear expectation. Here the sub-linear expectation and its related capacity are not additive.

Study of the Linear Compressor Characteristics of The Stirring Refrigerator (스터링 냉동기의 선철압축기 운전특성에 관한 연구)

  • 홍용주;박성제;김효봉;고득용;김종학;유병건
    • Progress in Superconductivity and Cryogenics
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    • v.3 no.2
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    • pp.49-54
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    • 2001
  • The purpose of this study is to analyze the characteristics of the linear compressor for Stirling refrigerator. To ensure high performance and long life of the FPFD(Free Piston. Free Displacer) type Stirling refrigerator, the operating parameters of the linear compressor should be optimized. The experimental results show that the operating frequency of the linear compressor has significant effect on the input power characteristics. and that the compressor with higher charging pressure of working fluid has high pressure ratio. For the high performance of the linear compressor. compressor should be operated at the resonance frequency with respect to the given charging pressure.

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