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ISSN : 1226-0657
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Vol.4 No.2
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.
Abstract
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.
Abstract
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).
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.
Abstract
We give the relation between the semilattice congruence N and the set of prime ideals of the ordered <TEX>$\Gamma$</TEX>-semigroup M.
Abstract
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.
Abstract
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.
Abstract
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$</TEX>X).
Abstract
We obtained sufficient conditions for <TEX>$\phi$</TEX>(t)-stability and uniform <TEX>$\phi$</TEX>(t)-stability of the trivial solution of comparison differential system. we also investigated the corresponding stability concepts of the trivial solution of the differential system using the thoery of differential inequlities through cones and the method of conevalued Lyapunov functions.
Abstract
In this paper, we investigated several asymptotic stability properties of the system for the type of dy/dt = <TEX>$h(t)^{-1}F(t_1, k(t)y(t))$</TEX>.