• 대한수학회지
• /
• 제53권1호
• /
• pp.233-246
• /
• 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.

• 대한수학회보
• /
• 제47권6호
• /
• pp.1131-1138
• /
• 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.

• 대한수학회지
• /
• 제59권6호
• /
• pp.1171-1184
• /
• 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.

• 충청수학회지
• /
• 제8권1호
• /
• pp.119-130
• /
• 1995

I study the extension of the definition of the analytic operator-valued Feynman integral to potentials given by a class of signed measures described in terms of additive functionals associated with regular Dirichlet forms.

• 대한수학회논문집
• /
• 제29권2호
• /
• pp.269-283
• /
• 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.

• 대한수학회지
• /
• 제38권1호
• /
• pp.87-99
• /
• 2001

We prove that the germ of a CR mapping f between real analytic real hypersurfaces has a holomorphic extension and satisfies a complete system of finite order if the source is of finite type in the sense of Bloom-Graham and the target is k-nondegenerate under certain generic assumptions on f.

• 농촌지도와개발
• /
• 제15권4호
• /
• pp.599-619
• /
• 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.

• 디지털융복합연구
• /
• 제10권3호
• /
• pp.179-189
• /
• 2012

본 연구는 브랜드 컨셉(상징적 vs. 기능적)과 사고방식(종합적 vs. 분석적)이 호텔브랜드의 확장광고(이성적 vs. 감성적) 및 확장제품에 대한 태도에 미치는 영향을 살펴보고, 사고방식의 조절효과를 확인하고자 하였다. 연구결과 1) 브랜드 컨셉이 상징적인 경우 소비자들의 확장광고 및 확장제품에 대한 태도는 이성적 광고보다 감성적 광고에서 높게 나타나거나 차이가 없게 나타났으며, 브랜드 컨셉이 기능적인 경우 감성적 광고보다 이성적 광고에서 높게 나타났다. 2) 또한 종합적 사고자의 확장광고 및 확장제품에 대한 태도는 이성적 광고보다 감성적 광고에서 차이가 없게 나타났으며, 분석적 사고자의 경우 감성적 광고보다 이성적 광고에서 높게 나타났다. 3) 마지막으로 브랜드 컨셉에 따른 확장광고 및 확장제품에 대한 태도는 예상한 바와 같이 소비자의 사고방식에 의해 조절되었다(이성적 광고: 상징적<기능적, 감성적 광고: 상징적>기능적). 본 연구는 다양한 문화적 배경과 사고방식을 소유한 글로벌 호텔이용자들이 급증하고 있는 현실에서 이론적 실무적으로 기여하는 바가 클 것이다.

• 대한수학회보
• /
• 제58권5호
• /
• pp.1235-1245
• /
• 2021

Using recent L² extension theorems, we give an analytic proof under some conditions of Zariski's theorem on zero-dimensional base loci. This motivates further discussions on the crucial curvature conditions in L² extension theorems.

• 대한수학회지
• /
• 제40권4호
• /
• pp.629-639
• /
• 2003

We give results describing behavior of regions of holomorphic extension of CR functions near boundary points of their domain of definition.