• Title/Summary/Keyword: s function

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FRACTIONAL INTEGRATION AND DIFFERENTIATION OF THE (p, q)-EXTENDED MODIFIED BESSEL FUNCTION OF THE SECOND KIND AND INTEGRAL TRANSFORMS

  • Purnima Chopra;Mamta Gupta;Kanak Modi
    • Communications of the Korean Mathematical Society
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    • v.38 no.3
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    • pp.755-772
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    • 2023
  • Our aim is to establish certain image formulas of the (p, q)-extended modified Bessel function of the second kind Mν,p,q(z) by employing the Marichev-Saigo-Maeda fractional calculus (integral and differential) operators including their composition formulas and using certain integral transforms involving (p, q)-extended modified Bessel function of the second kind Mν,p,q(z). Corresponding assertions for the Saigo's, Riemann-Liouville (R-L) and Erdélyi-Kober (E-K) fractional integral and differential operators are deduced. All the results are represented in terms of the Hadamard product of the (p, q)-extended modified Bessel function of the second kind Mν,p,q(z) and Fox-Wright function rΨs(z).

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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Dyadic Green`s Function for an Unbounded Anisotropic Medium in Cylindrical Coordinates

  • Kai Li;Park, Seong-Ook;Pan, Wei-Yan
    • Journal of electromagnetic engineering and science
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    • v.1 no.1
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    • pp.54-59
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    • 2001
  • The dyadic Green`s function for an unbounded anisotropic medium is treated analytically in the Fourier domain. The Green`s function, which is expressed as a triple Fourier integral, can be next reduced to a double integral by performing the integral, by performing the integration over the longitudinal Fourier variable or the transverse Fourier variable. The singular behavior of Green`s is discussed for the general anisotropic case.

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Antimicrobial active clones from soil metagenomic library

  • H. K. Lim;Lee, E. H;Kim, J.C.;Park, G. J.;K S. Jang;Park, Y. H.;K Y. Cho;S, W. Lee
    • Proceedings of the Korean Society of Plant Pathology Conference
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    • 2003.10a
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    • pp.108.1-108
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    • 2003
  • Soil metagenome is untapped total microbial genome including that of the majority of unculturable bacteria present in soil. We constructed soil metagenomic library in Escherichia coli using DNA directly extracted from two different soils, pine tree rhizosphere soil and forest topsoil. Metagenomic libraries constructed from pine tree rhizosphere soil and forest topsoil consisted of approximately 33,700 clones and 112,000 clones with average insert DNA size of 35-kb, respectively. Subsequently, we screened the libraries to select clones with antimicrobial activities against Saccharomyces cerevisiae and Agrobacterium tumefaciens using double agar layer method. So far, we have a clone active against S. cerevisiae and a clone active against A. tumefaciens from the forest topsoil library. In vitro mutagenesis and DNA sequence analysis of the antifungal clone revealed the genes involved in the biosynthesis of antimicrobial secondary metabolite. Metagenomic libraries constructed in this study would be subject to search for diverse genetic resources related with useful microbial products.

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GENERATING FUNCTION OF TRACES OF SINGULAR MODULI

  • Kim, Chang Heon
    • Journal of the Chungcheong Mathematical Society
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    • v.20 no.4
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    • pp.375-386
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    • 2007
  • Let p be a prime and $f(z)=\Sigma_{n}a(n)q^n$ be a weakly holomorphic modular function for ${\Gamma}^*_0(p)$ with a(0) = 0. We use Bruinier and Funke's work to find the generating series of modular traces of f(z) as Jacobi forms.

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R and S Arrays Approach for Transfer Function-Noise Model Identificaton

  • Kim, Hea-Jung
    • Journal of the Korean Statistical Society
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    • v.19 no.1
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    • pp.1-14
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    • 1990
  • This paper proposes an approach to the identification of trnasfer function models. A strategy for the identification of the model structure is based on R and S arrays constructed by the impulse response function of the model. Theoretical patterns of the arrays associated with the model are investigated, and the practical implementation method of the suggested approach is also discussed. Finally two published samples are employed to demonstrate the practicability of the approach.

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The Early Wittgenstein on Russell's Paradox (전기 비트겐슈타인과 러셀의 역설)

  • Park, Jeong-il
    • Korean Journal of Logic
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    • v.20 no.2
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    • pp.163-196
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    • 2017
  • Wittgenstein declares in the Tractatus Logico-Philosophicus that he resolved Russell's Paradox. According to him, a function cannot be its own argument. If we assume that a function F(fx) can be its own argument, a proposition "F(F(fx))" will be given, where the outer function F has a meaning different from the inner function F. In consequence, "F(F(fx))" will not be able to have a definite sense. Why, however, does Wittgenstein call into question a function F(fx) and "F(F(fx))"? To answer this question, we must examine closely Russell's own resolution of Russell's Paradox. Only when we can understand Russell's resolution can we do Wittgenstein's resolution. In particular, I will endeavor to show that the idea in Wittgenstein's 1913 letter to Russell provides a decisive clue for this problem.

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A Study on the Relationship between the Media Device Use and Executive Function Difficulties in Third Grade: Focus on the Moderating Effect of Child's Communication Ability (초등학교 3학년의 미디어기기 이용과 집행기능 곤란과의 관계: 의사소통의 조절효과를 중심으로)

  • Jeong, Eun Hwa;Lee, Hyun A;Lee, Ji Young;Lee, Kang yi
    • Human Ecology Research
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    • v.57 no.4
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    • pp.523-534
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    • 2019
  • This study identifies correlations between the use of media devices, communication ability, and executive function difficulties for third grade students, as well as investigates the moderating effect of a child's communication ability. Data from the 10th (2017) Panel Study on Korean Children [PSKC] was employed (N=557). Descriptive statistics, Pearson's correlation and hierarchical regression were used along with SPSS 25.0(IBM Co., Armonk, NY, USA). The results were as follows. First, the executive function difficulties in the third-grade showed a significant positive correlation with media device use. While also, showing a negative correlation with a child's communication ability. Media devices use and communication ability has a significant negative correlation. Second, a child's communication ability has a moderating effect in relation to the use of media devices and executive function difficulties. The difficulty of executive function showed a reciprocal increase to a child's use of media devices and indicated a discriminatory effect of a child's communication ability. In conclusion, this study shows that communication ability is important as a personal factor for children who control the negative effects of media devices. Therefore, it is necessary to provide and support an environment for the development of a child's communication ability.

Performance Analysis of Adaptive Bandwidth PLL According to Board Design (보드 설계에 따른 Adaptive Bandwidth PLL의 성능 분석)

  • Son, Young-Sang;Wee, Jae-Kyung
    • Journal of the Institute of Electronics Engineers of Korea SD
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    • v.45 no.4
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    • pp.146-153
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    • 2008
  • In this paper, a integrated phase-locked loop(PLL) as a clock multiphase generator for a high speed serial link is designed. The designed PLL keeps the same bandwidth and damping factor by using programmable current mirror in the whole operation frequency range. Also, the close-loop transfer function and VCO's phase-noise transfer function of the designed PLL are obtained with circuit netlists. The self impedance on board-mounted chip is calculated according to sizes and positions of decoupling capacitors. Especially, the detailed self-impedance analysis is carried out between frequency ranges represented the maximum gain in the close-loop transfer function and the maximum gain in the VCO's phase noise transfer function. We shows PLL's jitter characteristics by decoupling capacitor's sizes and positions from this result. The designed PLL has the wide operating range of 0.4GHz to 2GHz in operating voltage of 1.8V and it is designed 0.18-um CMOS process. The reference clock is 100MHz and PLL power consumption is 17.28mW in 1.2GHz.