• Title/Summary/Keyword: I-function

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CERTAIN INTEGRAL FORMULAS ASSOCIATED WITH ALEPH (ℵ)-FUNCTION

  • Agarwal, Praveen;Jain, Shilpi;Karimov, Erkinjon T.;Prajapati, Jyotindra C.
    • Communications of the Korean Mathematical Society
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    • v.32 no.2
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    • pp.305-319
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    • 2017
  • Recently many authors have investigated so-called Aleph (${\aleph}$)-function and its various properties. Here, in this paper, we aim at establishing certain integral formulas involving the Aleph (${\aleph}$)-function. Precisely, integrals with product of Aleph (${\aleph}$)-function with Jacobi polynomials, Bessel Maitland function, general class of polynomials were under consideration. Some interesting special cases of our main result are also considered and shown to be connected with certain known ones.

$I{\lambda}$-최적실험계획의 특성에 대한 추가적인 연구

  • 김영일
    • Communications for Statistical Applications and Methods
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    • v.2 no.1
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    • pp.55-63
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    • 1995
  • The characteristics of $I{\lambda}$-optimality are investigated with repsect to other experimental design's criteria, D-and G-optimality. The comparisons are based on D- and G-, and $I{\lambda}$-efficiencies using the Beta(p, q) distribution as a weighting function for $I{\lambda}$-optimality. Results indicate that serious consideration should be given to the $I{\lambda}$-optimality criterion especially when the error variance function is not homogeneous.

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Effects of Vitamin E Supplementation on Renal Function in a High Fat Diet and Adriamycin Induced Experimental Nephrotic Syndrome a Model Rats (고지방식이와 Adriamycin으로 유도된 신증후군 흰쥐 실험모델에 비타민 E 첨가 식이가 신장 기능에 미치는 영향)

  • 박영주;박양자
    • Journal of the East Asian Society of Dietary Life
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    • v.9 no.4
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    • pp.427-434
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    • 1999
  • This study was conducted to investigate the effects of vitamin I supplementation on renal function in high fat diet and adriamycin (ADR) induced experimental nephrotic syndrome in model rats. The effects of vitamin E supplementation on renal function in high fat diet and ADR treated rats were as follows. Kidney weight was decreased by vitamin E supplementation. Serum total protein was increased by the excess supplementation. Blood urea nitrogen(BUN) was decreased by the high supplementation. However, serum albumin and creatinine showed no significant differences between groups. Urinary volume tended to increase by vitamin I supplementation. Urinary urea-N tended by vitamin I supplementation. Particularly glomerular filtration rate(GFR) was significantly decreased by vitamin E supplementation. These results suggested that vitamin E supplementation could alleviate the adverse effects caused in renal function by highfatdiet and ADR treatments.

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Comparative Study of AI Models for Reliability Function Estimation in NPP Digital I&C System Failure Prediction (원전 디지털 I&C 계통 고장예측을 위한 신뢰도 함수 추정 인공지능 모델 비교연구)

  • DaeYoung Lee;JeongHun Lee;SeungHyeok Yang
    • Journal of Korea Society of Industrial Information Systems
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    • v.28 no.6
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    • pp.1-10
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    • 2023
  • The nuclear power plant(NPP)'s Instrumentation and Control(I&C) system periodically conducts integrity checks for the maintenance of self-diagnostic function during normal operation. Additionally, it performs functionality and performance checks during planned preventive maintenance periods. However, there is a need for technological development to diagnose failures and prevent accidents in advance. In this paper, we studied methods for estimating the reliability function by utilizing environmental data and self-diagnostic data of the I&C equipment. To obtain failure data, we assumed probability distributions for component features of the I&C equipment and generated virtual failure data. Using this failure data, we estimated the reliability function using representative artificial intelligence(AI) models used in survival analysis(DeepSurve, DeepHit). And we also estimated the reliability function through the Cox regression model of the traditional semi-parametric method. We confirmed the feasibility through the residual lifetime calculations based on environmental and diagnostic data.

The solar cell modeling using Lambert W-function (Lambert W 함수를 이용한 태양전지 모델링)

  • Bae, Jong-Guk;Kang, Gi-Hwan;Kim, Kyung-Soo;Yu, Gwon-Jong;Ahn, Hyung-Geun;Han, Deuk-Young
    • 한국태양에너지학회:학술대회논문집
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    • 2011.11a
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    • pp.278-281
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    • 2011
  • This system can predict the maximum output about all illumination levels so that the PV system designer can design the system having the best efficiency. For the output prediction exact about the solar cell, that is the device the basis most in the PV system, the basis has to be in order to try this way. The solution based on Lambert W-function are presented to express the transcendental current-voltage characteristic containing parasitic power consuming parameters like series and shunt resistances. A simple and efficient method for the extraction of a single current-voltage (I-V) curve under the constant illumination level is proposed. With the help of the Lambert W function, the explicit analytic expression for I is obtained. And the explicit analytic expression for V is obtained. This analytic expression is directly used to fit the experimental data and extract the device parameters. The I-V curve of the solar cell was expressed through the modeling using Lambert W-function and the numerical formula where there is the difficulty could be logarithmically expressed This method expresses with the I-V curve through the modeling using Lambert W-function which adds other loss ingredients to the equation2 as to the research afterward. And the solar cell goes as small and this I-V curve can predict the power penalty in the system unit.

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A Study on Cost Function of Korea Railroad Industry( I ) (우리나라 철도산업의 비용함수추정 연구(I))

  • Yoo Jae-Kyun;Kim Kyoung-Tae
    • Proceedings of the KSR Conference
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    • 2004.06a
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    • pp.392-396
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    • 2004
  • The number of parameters and the number of samples are the key point of trans-log cost function which studied recently. Most of models show that the number of parameters is more than the number of samples. Therefore, these studies gave unreliability of the estimation results. First, we surveyed theoretical cases and researches for the formulation of cost function of railroad industry. Second, we will suggest trans-log cost function by analyzing cost data of KNR. And, the cumulative data will be needed for the confidence of estimation results.

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A Study on Cost Function of Korea Railroad Industry(I) (우리나라 철도산업의 비용함수추정 연구(I))

  • Yoo Jae-Kyun;Kim Kyoung-Tae
    • Proceedings of the KSR Conference
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    • 2004.10a
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    • pp.1765-1769
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    • 2004
  • The number of parameters and the number of samples are the key point of trans-log cost function which studied recently. Most of models show that the number of parameters is more than the number of samples. Therefore, these studies gave unreliability of the estimation results. First, we surveyed theoretical cases and researches for the formulation of cost function of railroad industry. Second, we will suggest trans-log cost function by analyzing cost data of KNR. And, the cumulative data will be needed for the confidence of estimation results.

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Efficient Computation of Fixed and Mixed Polarity Reed-Muller Function Vector over GF(p)

  • Kim Young Gun;Kim Jong O;Kim Heung Soo
    • Proceedings of the IEEK Conference
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    • 2004.08c
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    • pp.503-508
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    • 2004
  • This paper proposes an efficient computation method for fixed and mixed polarity Reed -Muller function vector over Galois field GF(p). Function vectors of fixed polarity Heed Muller function with single variable can be generated by proposed method. The n-variable function vectors can be calculated by means of the Kronecker product of a single variable function vector corresponding to each variable. Thus, all fixed and mixed polarity Reed-Muller function vectors are calculated directly without using a polarity function vector table or polarity coefficient matrix.

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GENERATING FUNCTIONS OF (p, q)-ANALOGUE OF ALEPH-FUNCTION SATISFYING TRUESDELL'S ASCENDING AND DESCENDING Fp,q-EQUATION

  • ALTAF A. BHAT;M. YOUNUS BHAT;H. MAQBOOL;D.K. JAIN
    • Journal of applied mathematics & informatics
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    • v.41 no.2
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    • pp.373-386
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    • 2023
  • In this paper we have obtained various forms of (p, q)-analogue of Aleph-Function satisfying Truesdell's ascending and descending Fp,q-equation. These structures have been employed to arrive at certain generating functions for (p, q)-analogue of Aleph-Function. Some specific instances of these outcomes as far as (p, q)-analogue of I-function, H-function and G-functions have likewise been obtained.