• Title/Summary/Keyword: analytic extension

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ANALYTIC EXTENSIONS OF M-HYPONORMAL OPERATORS

  • MECHERI, SALAH;ZUO, FEI
    • Journal of the Korean Mathematical Society
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    • v.53 no.1
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    • pp.233-246
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    • 2016
  • In this paper, we introduce the class of analytic extensions of M-hyponormal operators and we study various properties of this class. We also use a special Sobolev space to show that every analytic extension of an M-hyponormal operator T is subscalar of order 2k + 2. Finally we obtain that an analytic extension of an M-hyponormal operator satisfies Weyl's theorem.

AN EXTENSION OF AN ANALYTIC FORMULA OF THE DETERMINISTIC EPIDEMICS MODEL PROBLEM THROUGH LIE GROUP OF OPERATORS

  • Kumar, Hemant;Kumari, Shilesh
    • Bulletin of the Korean Mathematical Society
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    • v.47 no.6
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    • pp.1131-1138
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    • 2010
  • In the present paper, we evaluate an analytic formula as a solution of Susceptible Infective (SI) model problem for communicable disease in which the daily contact rate (C(N)) is supposed to be varied linearly with population size N(t) that is large so that it is considered as a continuous variable of time t. Again, we introduce some Lie group of operators to make an extension of above analytic formula of the determin-istic epidemics model problem. Finally, we discuss some of its particular cases.

MAXIMAL DOMAINS OF SOLUTIONS FOR ANALYTIC QUASILINEAR DIFFERENTIAL EQUATIONS OF FIRST ORDER

  • Han, Chong-Kyu;Kim, Taejung
    • Journal of the Korean Mathematical Society
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    • v.59 no.6
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    • pp.1171-1184
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    • 2022
  • We study the real-analytic continuation of local real-analytic solutions to the Cauchy problems of quasi-linear partial differential equations of first order for a scalar function. By making use of the first integrals of the characteristic vector field and the implicit function theorem we determine the maximal domain of the analytic extension of a local solution as a single-valued function. We present some examples including the scalar conservation laws that admit global first integrals so that our method is applicable.

FURTHER EXPANSION AND SUMMATION FORMULAS INVOLVING THE HYPERHARMONIC FUNCTION

  • Gaboury, Sebastien
    • Communications of the Korean Mathematical Society
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    • v.29 no.2
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    • pp.269-283
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    • 2014
  • The aim of the paper is to present several new relationships involving the hyperharmonic function introduced by Mez$\ddot{o}$ in (I. Mez$\ddot{o}$, Analytic extension of hyperharmonic numbers, Online J. Anal. Comb. 4, 2009) which is an analytic extension of the hyperharmonic numbers. These relations are obtained by using some fractional calculus theorems as Leibniz rules and Taylor like series expansions.

Development of Woman Farmers Center Performance Indicators by Using the Analytic Hierarchy Process (AHP를 활용한 여성농업인센터사업 평가지표 개발)

  • Hwang, Dae-Yong;Kang, Kyeong-Ha;Gim, Gyung-Mee;Baek, Min-Hee
    • Journal of Agricultural Extension & Community Development
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    • v.15 no.4
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    • pp.599-619
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    • 2008
  • The study is to develop indicators for woman famers center using focus group meeting and AHP(Analytic Hierarchy Process), which is a method to derive relative weights for each evaluation indicators. The results of this study are as follows. We determined such as the three indicators that planning establishment(seven), promotion process of work(six), performance of work(nine). We analysed the weights of this indicators by AHP. The relative weights of performance of work was 0.5269, planning establishment 0.2554 and promotion process of work marked 0.2177. It was suggested that further research should be carried out to develop more objective assessment indicators.

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Holistic Thinkers' Attitude toward the Emotional Ads. : Focused on Hotel Brands' Extension Ads. (종합적 사고자의 감성적 광고에 대한 태도 : 호텔 브랜드확장광고를 중심으로)

  • Kim, Gwi-Gon;Do, Hyun-Ok
    • Journal of Digital Convergence
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    • v.10 no.3
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    • pp.179-189
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    • 2012
  • The purpose of this study examines the influence of brand concepts(symbolic vs. functional) and thinking styles(holistic vs. analytic) on the attitude toward extension ads.(rational/emotional) and product. The moderating effect of thinking styles was also tested. The results of this study are as follows: I) Brand concepts of parent brand had a significant effect on the attitude toward extension ads.(symbolic: no differences between rational and emotional ads., functional: rational ads. > emotional ads.) and extension product. 2) Thinking styles of consumers also did.(holistic: no differences between rational and emotional ads., analytic: rational > emotional ads.) and extension product. 3) The moderating effect of thinking styles was(rational ads.: symbolicfunctional).