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Vol.6 No.2

Lee, Byoung-Mu pp.53-58
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Abstract

In this paper, we introduce the notion of separable-like function, investigate some properties of separable-like functions, and characterize the Pettis integrability of function on a finite perfect measure space.

Park, Young-Ok pp.59-66
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Abstract

We introduce a new class of functions <TEX>$H_{k}[A,{\;}B]$</TEX> described by subordination and we derive a few geometric properties for the class <TEX>$H_{k}[A,{\;}B]$</TEX>.

Lee, Hyung-Jae ; Hwang, Soo-Man pp.67-77
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Abstract

In this paper we study periodic orbit of some planar control systems and investigate phase portraits of the FSs.

Song, Tai-Sung pp.87-93
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Abstract

A holomorphic function f on D = {z : │z│ < 1} is called uniformly locally univalent if there exists a positive constant <TEX>$\rho$</TEX> such that f is univalent in every hyperbolic disk of hyperbolic radius <TEX>$\rho$</TEX>. We establish a characterization of uniformly locally univalent functions and investigate uniform local univalence of holomorphic universal covering projections.

Jung, Yoon-Tae ; Kim, Yun-Jeong ; Lee, Soo-Young ; Shin, Cheol-Guen pp.95-101
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Abstract

In this paper, when N is a compact Riemannian manifold, we discuss the method of using warped products to construct timelike or null future complete Lorentzian metrics on <TEX>$M{\;}={\;}[\alpha,\infty){\times}_f{\;}N$</TEX> with specific scalar curvatures.

Son, Hong-Chan pp.103-111
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Abstract

We find some conditions under which G(f)-sequence of a CW-pair (X, A) is exact. And we also introduce a G(f)-sequence for a CW-triple (X, A, B) and examine when the sequence is exact.

Bestman, A.R. ; Odigi, M.I. pp.113-120
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Abstract

This paper studies the problem of an infinite confined aquifer which at time t < 0 is assumed motionless. At time t = 0 crude oil seeps into the aquifer, thereby contaminating the valuable drinking water. Since the crude oil and water are im-miscible, the problem is posed as a one-dimensional two-phase unsteady moving boundary problem. A similarity solution is developed in which the moving front parameter is obtained by Newton-Ralphson iteration. A numerical scheme, involving the front tracking method, is devised employing the fourth order Runge-Kutta method. Comparison of the exact and numerical schemes shows an error of only 3%. Thus the developed numerical scheme is quite accurate in tackling more realistic problems where exact solutions are not possible.

Cheon, Gi-Sang ; Kim, Jin-Soo ; Yoon, Haeng-Won pp.121-127
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Abstract

We can get the Pascal's matrix of order n by taking the first n rows of Pascal's triangle and filling in with 0's on the right. In this paper we obtain some well known combinatorial identities and a factorization of the Stirling matrix from the Pascal's matrix.

Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics