• Title/Summary/Keyword: Complex numbers

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Zeros and Uniqueness of Difference Polynomials of Meromorphic Functions

  • Qi, Xiaoguang;Dou, Jia
    • Kyungpook Mathematical Journal
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    • v.53 no.4
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    • pp.541-552
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    • 2013
  • This research is a continuation of a recent paper due to the first author in [9]. Different from previous results, we investigate the value distribution of difference polynomials of moromorphic functions in this paper. In particular, we are interested in the existence of zeros of $f(z)^n({\lambda}f(z+c)^m+{\mu}f(z)^m)-a$, where f is a moromorphic function, n, m are two non-negative integers, and ${\lambda}$, ${\mu}$ are non-zero complex numbers. However, the proof here is obviously different to the one in [9]. We also study difference polynomials of entire functions sharing a common value, which improves the result in [10, 13].

1269S mutation in horse liver alcohol dehydrogenase S isoenzyme and its reactivity for steroids and retinoids

  • Ryu, Ji-Won;Lee, Kang-Man
    • Archives of Pharmacal Research
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    • v.20 no.2
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    • pp.115-121
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    • 1997
  • Ile-269 in horse liver alcohol dehydrogenase isoenzyme S(HLADH-S) was mutated to serine by phosphorothioate-based site-directed mutagenesis in order to study the role of the residue in coenzyme binding. The specific activity of the mutant(1269S) enzyme to ethanol was increased 49-fold. All turnover numbers of 1269S enzyme toward 9 primary alcohols were increased. The mutant enzyme showed 3.6, 4.6, 11.6-fold higher catalytic efficiency for $5{\beta}$-androstane-3, 17-dione, $5{\beta}$-cholanic acid-3-one and retinal than wild-type, respectively. The reaction mechanism of 1269S enzyme was ordered bi bi as wild-type's. These results indicate that the hydrophobic interaction of Ile-269 residue with coenzyme plays an important role in dissociation of coenzyme from enzyme-coenzyme complex, which has been known as the rate limiting step of ADH reaction.

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REMARKS FOR BASIC APPELL SERIES

  • Seo, Gyeong-Sig;Park, Joong-Soo
    • Honam Mathematical Journal
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    • v.31 no.4
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    • pp.463-478
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    • 2009
  • Let k be an imaginary quadratic field, ℌ the complex upper half plane, and let ${\tau}{\in}k{\cap}$ℌ, q = exp(${\pi}i{\tau}$). And let n, t be positive integers with $1{\leq}t{\leq}n-1$. Then $q^{{\frac{n}{12}}-{\frac{t}{2}}+{\frac{t^2}{2n}}}{\prod}^{\infty}_{m=1}(1-q^{nm-t})(1-q^{nm-(n-t)})$ is an algebraic number [10]. As a generalization of this result, we find several infinite series and products giving algebraic numbers using Ramanujan's $_{1{\psi}1}$ summation. These are also related to Rogers-Ramanujan continued fractions.

Implementation of the Thermal Control System using RVEGA-Fuzzy Control Technique (RVEGA-퍼지 제어 기법을 이용한 온도 제어 시스템의 구현)

  • 김정수;정종원;박두환;지석준;이준탁
    • Proceedings of the Korean Society of Marine Engineers Conference
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    • 2001.05a
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    • pp.238-242
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    • 2001
  • In this paper, we proposed an optimal identification method of the membership functions and the numbers of fuzzy rule base for the stabilization controller of the Thermal process control system by RVEGA. Although fuzzy logic controllers and expert systems have been successfully applied in many complex industrial process, they must rely on experts knowledges. So it is difficult in determination of the linguistic state space, definition of the membership functions of each linguistic term and the derivation of the control rules. To verify the validity of this RVEGA-based fuzzy controller, Thermal process control system, with strong nonlinear dynamics, was selected for application of this algorithm and compare with PI controller, and the empirically improved fuzzy controller.

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The Prediction of mixing with Helix Index for 3-Dimensional channel in micro (3 차원 마이크로 채널에서 나선지수에 의한 혼합예측)

  • Jung, Seung-Hoon;Maeng, Joo-Sung
    • Proceedings of the KSME Conference
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    • 2008.11b
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    • pp.2460-2464
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    • 2008
  • The present paper suggests new method to know the effects of molecular diffusion and the helicity of microchannel flows on mixing in passive micromixers, which are essential components of a microfluidic chip. In this study, 'Helix Index' is newly defined as the magnitude of chaotic advection. Relationship between Helix Index and Mixing Index is analyzed numerically such as the wide range of Peclet and Reynolds numbers in three dimensional serpentine microchannel when using soluble solutions (water/glycerol). As a result, a simple algebraic equation is derived by this relationship based on a regression analysis. The algebraic equation is found to be able to accurately predict the mixing performance without solving the coupled, complex momentum and mass transfer equations.

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Computation of Flow around a Container Ship with Twin-Skegs using the CFD (CFD를 이용한 쌍축 컨테이너선 주위의 유동계산)

  • Kim, Hee-Taek;Kim, Hyoung-Tae
    • Journal of the Society of Naval Architects of Korea
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    • v.44 no.4
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    • pp.370-378
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    • 2007
  • In this study. a numerical analysis has been performed for the turbulent flow around a 15,000TEU twin-skeg container ship using a commercial CFD code. FLUENT. The computed results have been compared with the model test data from MOERI. We investigated viscous resistance coefficient. wake distribution and characteristics of the shear flow according to the grid numbers. Although the free surface is approximated by the plane of symmetry in this work. the calculated axial velocity and transverse vector show a good agreement with the MOERI experimental data except for the region of 0.9 level of axial velocity at the propeller plane. The numerical analysis show that commercial CFD code is useful tool for the evaluation of complex hull form with twin-skegs.

ON A NEW CLASS OF SERIES IDENTITIES

  • SHEKHAWAT, NIDHI;CHOI, JUNESANG;RATHIE, ARJUN K.;PRAKASH, OM
    • Honam Mathematical Journal
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    • v.37 no.3
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    • pp.339-352
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    • 2015
  • We aim at giving explicit expressions of $${\sum_{m,n=0}^{{\infty}}}{\frac{{\Delta}_{m+n}(-1)^nx^{m+n}}{({\rho})_m({\rho}+i)_nm!n!}$$, where i = 0, ${\pm}1$, ${\ldots}$, ${\pm}9$ and $\{{\Delta}_n\}$ is a bounded sequence of complex numbers. The main result is derived with the help of the generalized Kummer's summation theorem for the series $_2F_1$ obtained earlier by Choi. Further some special cases of the main result considered here are shown to include the results obtained earlier by Kim and Rathie and the identity due to Bailey.

A Study on the Strategy of Fashion Brand Extension through Case Analysis (사례 분석을 통한 패션 브랜드 확장 전략 연구)

  • Kim, Hyeon-Ju
    • The Research Journal of the Costume Culture
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    • v.16 no.2
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    • pp.369-381
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    • 2008
  • The objectives of this study are to observe the theoretical background of brand extension, to compare & analyze the cases of brand extension in Domestic and abroad based on the existing studies to present the characteristics of brand extension strategies, and to contribute to the establishment of marketing strategies of brand portfolio for the globalization of national brands. As for the methods of research, literature review and case study were combined. As a result of the case analysis, fashion business possessing a lot of brands have powerful competitiveness when they consider the brands as one unit and manage them with definition and insight to produce mutual synergy. Given that brand environment is being complicated and diversified with market segmentation, brand extension, various product groups, numbers of competitors, and complex distribution structure, the hierarchical structure of brand may have even more significance as a strategy.

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Numerical Prediction of Spray Combustion and Film Cooling in a Liquid Rocket Engine (액체로켓 엔진의 분무연소 및 막냉각에 대한 수치해석)

  • 박태선;류철성
    • Journal of the Korean Society of Propulsion Engineers
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    • v.6 no.2
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    • pp.9-17
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    • 2002
  • For turbulent spray combustion flows a coupled numerical procedure was developed, This method was discretized by using generalized curvilinear coordinates to handle complex geometries. The preconditioning and eigenvalue rescaling techniques were employed to provide efficient convergences over a wide range of subsonic Mach numbers. The accuracy was validated by simulating the laminar cavity flow. The film cooling effect of a liquid rocket engine (KSR-III) were investigated by a spray combustion analysis. The film cooling showed a negative effect on the combustion efficiency. In the combustion chamber wall, the film cooling effect was revealed to be promoted by the production of fuel rich zone.

Differential Subordination Properties of Sokół-Stankiewicz Starlike Functions

  • Omar, Rashidah;Halim, Suzeini Abdul
    • Kyungpook Mathematical Journal
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    • v.53 no.3
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    • pp.459-465
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    • 2013
  • Let $p(z)$ be an analytic function defined on the open unit disk D and $p(0)=1$. Condition ${\beta}$ in terms of complex numbers D and real E with -1 < E < 1 and ${\mid}D{\mid}{\leq}1$ is determined such that $1+{\beta}{\prec}\frac{1+Dz}{1+Ez}$ implies $p(z){\prec}\sqrt{1+z}$. Furthermore, the expression $1+\frac{{\beta}zp^{\prime}(z)}{p(z)}$ and $1+\frac{{\beta}zp^{\prime}(z)}{p^2(z)}$ are considered in obtaining similar results.