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ACOMS+ 및 학술지 리포지터리 설명회

  • 한국과학기술정보연구원(KISTI) 서울분원 대회의실(별관 3층)
  • 2024년 07월 03일(수) 13:30
 

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  • P-ISSN1226-0657
  • E-ISSN2287-6081
  • KCI
Etuk, U.H.(Department of Mathematics/Statistics, University of Port Harcourt) pp.105-110
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Abstract

The distribution of staff in a hierachial organization has been studied in a variety of forms and models. Results here show that the promotion process follows a binomial distribution with parameters n and <TEX>$\alpha=e^{-pt}$</TEX> and the recruitment process follows a poisson distribution with parameter <TEX>$\lambda$</TEX>. Futhermore, the mean time to promotion in the grade was estimated.

Choi, Un-Haing(Department of Mathematics, Hong-Ik University) pp.111-113
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A simple proof for the special case of the McMillan and Pommerenke Theorem on the asymptotic values of meromorphic functions without Koebe arcs is derived from the author's result on the boundary behavior of meromorphic functions without Koebe arcs.

Kim, Jae-Woon(Department of Mathematics Education, Chongju University) pp.115-119
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We show that if <TEX>$f_{i}$</TEX>:<TEX>$X_{i}$</TEX> longrightarrow Y is strongly continuous(resp. weakly continuous, set connected, compact, feebly continuous, almost-continuous, strongly <TEX>$\theta$</TEX>-continuous, <TEX>$\theta$</TEX>-continuous, g-continuous, V-map), then F : <TEX>$X_1 \bigoplus X_2$</TEX>longrightarrow Y is strongly continuous(resp.weakly continuous, set connected, compact, feebly continuous, almost-continuous, strongly <TEX>$\theta$</TEX>-continuous, <TEX>$\theta$</TEX>-continuous, g-continuous, V-map).

Lee, Jae-Won(Department of Applied Mathematics, Kumoh National University of Technology) pp.121-130
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Abstract

Our first theorem is concerned with the convergence of nets of Poisson measures on a hypergroup. As a corollary we obtain a characterization of Poisson measures. The second theorem gives a characterization of elementary Poisson measures.

Kwon, Young-In(Department of Mathematics, College of Education, Gyeongsang National University) pp.131-135
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We give the relation between the semilattice congruence N and the set of prime ideals of the ordered <TEX>$\Gamma$</TEX>-semigroup M.

Cho, Min-Shik(Department of Mathematics Education, Korea National University of Education) pp.137-144
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In this paper we consider covering problems in spherical geometry. Let <TEX>$cov_q{S_1}^n$</TEX> be the smallest radius of q equal metric balls that cover n-dimensional unit sphere <TEX>${S_1}^n$</TEX>. We show that <TEX>$cov_q{S_1}^n\;=\;\frac{\pi}{2}\;for\;2\leq\;q\leq\;n+1$</TEX> and <TEX>$\pi-arccos(\frac{-1}{n+1})$</TEX> for q = n + 2. The configuration of centers of balls realizing <TEX>$cov_q{S_1}^n$</TEX> are established, simultaneously. Moreover, some properties of <TEX>$cov_{q}$</TEX>X for the compact metric space X, in general, are proved.

Jeong, Moon-Ja(Department of Mathematics, University of Suwon) pp.145-149
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Suppose <TEX>$\Omega$</TEX> is a bounded n-connected domain in C with <TEX>$C^2$</TEX> smooth boundary. Then we prove that the Szego kernel extends continuously to <TEX>$\Omega\times\Omega$</TEX> except the boundary diagonal set.

Kim, Chang-Il() pp.151-159
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Observing that for any dense weakly Lindelof subspace of a space Y, X is <TEX>$Z^{#}$</TEX> -embedded in Y, we show that for any weakly Lindelof space X, the minimal Cloz-cover (<TEX>$E_{cc}$</TEX>(X), <TEX>$z_{X}$</TEX>) of X is given by <TEX>$E_{cc}$</TEX>(X) = {(\alpha, \chi$</TEX>) : <TEX>$\alpha$</TEX> is a G(X)-ultrafilter on X with <TEX>$\chi\in\cap\alpha$</TEX>}, <TEX>$z_{X}$</TEX>=((<TEX>$\alpha, \chi$</TEX>))=<TEX>$\chi$</TEX>, <TEX>$z_{X}$</TEX> is <TEX>$Z^{#}$</TEX> -irreducible and <TEX>$E_{cc}$</TEX>(X) is a dense subspace of <TEX>$E_{cc}$</TEX>(<TEX>$\beta$</TEX>X).

Oh, Young-Sun(Department of Mathematics Education, Taegu University) ; An, Jeong-Hyang(Department of Mathematics Education, Kyungsan University) pp.161-166
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We obtained sufficient conditions for <TEX>$\phi$</TEX>(t)-stability and uniform <TEX>$\phi$</TEX>(t)-stability of the trivial solution of comparison differential system. we also investigated the corresponding stability concepts of the trivial solution of the differential system using the thoery of differential inequlities through cones and the method of conevalued Lyapunov functions.

Oh, Young-Sun(Department of Mathematics Education, Taegu University) ; Lee, Jae-Don(Department Mathematics Education, Taegu University) ; An, Jeong-Hyang(Department of Mathematics Education, Kyungsan University) pp.167-173
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In this paper, we investigated several asymptotic stability properties of the system for the type of dy/dt = <TEX>$h(t)^{-1}F(t_1, k(t)y(t))$</TEX>.

한국수학교육학회지시리즈B:순수및응용수학