• 제목/요약/키워드: Polynomial function

검색결과 801건 처리시간 0.026초

웨이브릿 고장률 함수를 갖는 최소수리 교체모형 개발 (Development of Replacement Models under Minimal Repair with Wavelet Failure Rate Functions)

  • 최성운
    • 대한안전경영과학회지
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    • 제3권4호
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    • pp.91-101
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    • 2001
  • This paper is to develop replacement models under minimal repair with exponential polynomial wavelet failure rate function. Wavelets have good time-frequency localization, fast algorithms and parsimonious representation. Also this study is presented along with numerical examples using sensitivity analysis for exponential polynomial trigonometric failure rate function.

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APPROXIMATION ORDER TO A FUNCTION IN $C^1$[0, 1] AND ITS DERIVATIVE BY A FEEDFOWARD NEURAL NETWORK

  • Hahm, Nahm-Woo;Hong, Bum-Il
    • Journal of applied mathematics & informatics
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    • 제27권1_2호
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    • pp.139-147
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    • 2009
  • We study the neural network approximation to a function in $C^1$[0, 1] and its derivative. In [3], we used even trigonometric polynomials in order to get an approximation order to a function in $L_p$ space. In this paper, we show the simultaneous approximation order to a function in $C^1$[0, 1] using a Bernstein polynomial and a feedforward neural network. Our proofs are constructive.

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GLOBAL MINIMA OF LEAST SQUARES CROSS VALIDATION FOR A SYMMETRIC POLYNOMIAL KEREL WITH FINITE SUPPORT

  • Jung, Kang-Mo;Kim, Byung-Chun
    • Journal of applied mathematics & informatics
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    • 제3권2호
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    • pp.183-192
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    • 1996
  • The least squares cross validated bandwidth is the mini-mizer of the corss validation function for choosing the smooth parame-ter of a kernel density estimator. It is a completely automatic method but it requires inordinate amounts of computational time. We present a convenient formula for calculation of the cross validation function when the kernel function is a symmetric polynomial with finite sup-port. Also we suggest an algorithm for finding global minima of the crass validation function.

A NOTE OF THE MODIFIED BERNOULLI POLYNOMIALS AND IT'S THE LOCATION OF THE ROOTS

  • LEE, Hui Young
    • Journal of applied mathematics & informatics
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    • 제38권3_4호
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    • pp.291-300
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    • 2020
  • This type of polynomial is a generating function that substitutes eλt for et in the denominator of the generating function for the Bernoulli polynomial, but polynomials by using this generating function has interesting properties involving the location of the roots. We define these generation functions and observe the properties of the generation functions.

Necessary and Sufficient Conditions for Characteristic Transfer Function Matrices

  • Eisaka, Toshio
    • 대한전자공학회:학술대회논문집
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    • 대한전자공학회 2002년도 ITC-CSCC -3
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    • pp.1875-1877
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    • 2002
  • There exist several forms of transfer function descriptions for multivariable LTI systems. We treat transfer function matrix with characteristic polynomial as its common denominator named Characteristic Transfer-function Matrices (CTM). First, we clarify necessary and sufficient conditions of CTM, then, we show some related lemmas. These interpretations not only offer deeper explanations but they also provide ways for calculations of all possible transfer matrices, system zeros, and inverse polynomial matrices.

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FEKETE-SZEGÖ INEQUALITY FOR A SUBCLASS OF NON-BAZILEVIĆ FUNCTIONS INVOLVING CHEBYSHEV POLYNOMIAL

  • Al-khafaji, Saba N.;Bulut, Serap;Juma, Abdul Rahman S.
    • 호남수학학술지
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    • 제43권3호
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    • pp.503-511
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    • 2021
  • In this present work, we obtain certain coefficients of the subclass 𝓗λ,𝛄(s, b, n) of non-Bazilević functions and estimate the relevant connection to the famous classical Fekete-Szegö inequality of functions belonging to this class.

SLOWLY CHANGING FUNCTION ORIENTED GROWTH MEASUREMENT OF DIFFERENTIAL POLYNOMIAL AND DIFFERENTIAL MONOMIAL

  • Biswas, Tanmay
    • Korean Journal of Mathematics
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    • 제27권1호
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    • pp.17-51
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    • 2019
  • In the paper we establish some new results depending on the comparative growth properties of composite entire and meromorphic functions using relative $_pL^*$-order, relative $_pL^*$-lower order and differential monomials, differential polynomials generated by one of the factors.

지형변화의 양적측정에 의한 수치지형모델의 적용 (The Application of Digital Terrain Model with respect to the Quantitative Measurement of the Terrain Roughness)

  • 유복모;권현
    • 한국측량학회지
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    • 제5권1호
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    • pp.43-48
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    • 1987
  • 지형의 변화를 양적으로 표시하는 매개변수-경사도, 곡율, 돌출빈도 및 표면적과 이에 대응하는 평면적의 비-로부터 지형을 분류하고, 이 지형에 따른 적합곡면식을 찾는다. 평탄지형, 완곡지형, 불규척지형을 지형변화양의 변수들에 의해 분류하였고, 평탄지형에는 선형평면식, 완곡지형은 3차 및 5차 곡면식, 그리고 불규칙지형은 5차 곡면식이 적합됨을 알 수 있었다.

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