• Title/Summary/Keyword: Transcendental function

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SOME RESULTS RELATED TO DIFFERENTIAL-DIFFERENCE COUNTERPART OF THE BRÜCK CONJECTURE

  • Md. Adud;Bikash Chakraborty
    • Communications of the Korean Mathematical Society
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    • v.39 no.1
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    • pp.117-125
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    • 2024
  • In this paper, our focus is on exploring value sharing problems related to a transcendental entire function f and its associated differential-difference polynomials. We aim to establish some results which are related to differential-difference counterpart of the Brück conjecture.

A Study of Digital Image Restoration for Modified PEM Gradient Algorithm (변형된 PEM 그래디언트 알고리즘을 이용한 디지털화상처리에 관한 연구)

  • Song, Min-Koo
    • The Transactions of the Korea Information Processing Society
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    • v.7 no.1
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    • pp.313-320
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    • 2000
  • PEM algorithm cannot expend repeated algorithm, if penalty function is transcendental function. However, OSL algorithm has an advantage that repeated algorithm is easily derived, even though penalty function which has a complicated transcendental function. In spite of this advantage, this algorithm is restricted in convergence region of smoothing constant which increase penalized log-likelihood, so we cannot get the optimal image restoration because it cannot provide us with a various smoothing constant value for the digital image restoration. In this paper, in order to resolve the disadvantage of OSL algorithm, we would like to suggest the algorithm with smoothing constant enlarge the tolerance limit range of convergence and to find not only properties of its convergence but also usefulness of suggested algorithm through digital image simulation.

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An Arguing Point on the Alternative Medicine as a Withdrawal Medicine (탈 의료화로서의 대체의학에 관한 논점)

  • Choi, Chan-Ho
    • Journal of Society of Preventive Korean Medicine
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    • v.11 no.1
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    • pp.85-99
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    • 2007
  • This study aimes to understand trends in alternative medicine use as new therapeutic ways to overcome the limits of western medicine, and is primarily concerned with function of alternative medicine to influence cancer theraphy in the United States after 1970s. Features of oriental medicine and western medicine through the comparison of Quantum medicine and Newton physics are pointed as the basic theory in alternative medicine. Homeopathic medicine, Chiro practice, Aroma theraphy, Transcendental meditation, Acupuncture is shortly is shortly introduced by alternative medicine use. The advantage of this study is to gain as follows : Firstly, To be recognized alternative function of cancer theraphy by Western nations including United States. Secondly, To understand the integrative program utilized as the alternative ways of cancer theraphy in the field. Thirdly, To understand side effects in alternative medicine use. :astly, To recommand marketing stratigies on alternative medicine services to develop Korean health tourism. In conclusion, it is increasingly emphasized that the importance of alternative medicine in relation to health promotion in the western nations. Western travelers expect that alternative medicine service is attractive and effective as the complementary function on incurable disease. Health tourism to experience alternative medicine services by travel will be expected one of the key industries in the future.

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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.

RELATIVE (p, q, t)L-TH TYPE AND RELATIVE (p, q, t)L-TH WEAK TYPE ORIENTED GROWTH PROPERTIES OF WRONSKIAN

  • Biswas, Tanmay;Biswas, Chinmay
    • The Pure and Applied Mathematics
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    • v.29 no.1
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    • pp.69-91
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    • 2022
  • In the paper we establish some new results depending on the comparative growth properties of composite transcendental entire and meromorphic functions using relative (p, q, t)L-th order, relative (p, q, t)L-th type and relative (p, q, t)L-th weak type and that of Wronskian generated by one of the factors.

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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Rational Approximation of Multiple Input Delay Systems Using the Hankel Singular Values Vectors (한켈특이치와 특이벡터를 이용한 복수 입력 시간지연 시스템의 유리근사화)

  • 황이철
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 1996.04a
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    • pp.299-304
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    • 1996
  • This paper studies the rational approximation of multiple input delay systems using the Hankel singular values and vectors, which are the soultion of a transcendental equation. Rational approximatants are obtained from output normal realizations which are constructed by the Hankel singular values and vectors. Consequently, it is shown that rational approximants by output normal realization preserve intrinsic properties of time delay systems than Pade approximants.

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ON THE EXISTENCE OF SOLUTIONS OF FERMAT-TYPE DIFFERENTIAL-DIFFERENCE EQUATIONS

  • Chen, Jun-Fan;Lin, Shu-Qing
    • Bulletin of the Korean Mathematical Society
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    • v.58 no.4
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    • pp.983-1002
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    • 2021
  • We investigate the non-existence of finite order transcendental entire solutions of Fermat-type differential-difference equations [f(z)f'(z)]n + P2(z)fm(z + 𝜂) = Q(z) and [f(z)f'(z)]n + P(z)[∆𝜂f(z)]m = Q(z), where P(z) and Q(z) are non-zero polynomials, m and n are positive integers, and 𝜂 ∈ ℂ \ {0}. In addition, we discuss transcendental entire solutions of finite order of the following Fermat-type differential-difference equation P2(z) [f(k)(z)]2 + [αf(z + 𝜂) - 𝛽f(z)]2 = er(z), where $P(z){\not\equiv}0$ is a polynomial, r(z) is a non-constant polynomial, α ≠ 0 and 𝛽 are constants, k is a positive integer, and 𝜂 ∈ ℂ \ {0}. Our results generalize some previous results.

VALUE DISTRIBUTION OF SOME q-DIFFERENCE POLYNOMIALS

  • Xu, Na;Zhong, Chun-Ping
    • Bulletin of the Korean Mathematical Society
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    • v.53 no.1
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    • pp.29-38
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    • 2016
  • For a transcendental entire function f(z) with zero order, the purpose of this article is to study the value distributions of q-difference polynomial $f(qz)-a(f(z))^n$ and $f(q_1z)f(q_2z){\cdots}f(q_mz)-a(f(z))^n$. The property of entire solution of a certain q-difference equation is also considered.