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The Pure and Applied Mathematics
Journal Basic Information
pISSN :
1226-0657
eISSN :
2287-6081
Journal DOI :
10.7468/jksmeb
Frequency :
Others
Publisher:
Korea Society of Mathematical Education
Editor in Chief :
Volume & Issues
Volume 6, Issue 2 - Nov 1999
Volume 6, Issue 1 - May 1999
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1
PETTIS INTEGRABILITY OF SEPARABLE-LIKE FUNCTIONS
Lee, Byoung-Mu ;
The Pure and Applied Mathematics, volume 6, issue 2, 1999, Pages 53~58
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.
2
ON A CLASS OF FUNCTIONS
DESCRIBED BY SUBORDINATION
Park, Young-Ok ;
The Pure and Applied Mathematics, volume 6, issue 2, 1999, Pages 59~66
Abstract
We introduce a new class of functions
described by subordination and we derive a few geometric properties for the class
.
3
SOME PHASE PORTRAITS OF PLANAR CONTROL SYSTEMS
Lee, Hyung-Jae ; Hwang, Soo-Man ;
The Pure and Applied Mathematics, volume 6, issue 2, 1999, Pages 67~77
Abstract
In this paper we study periodic orbit of some planar control systems and investigate phase portraits of the FSs.
4
AN ALGORITHM FOR FINDING THE CORRELATION IMMUNE ORDER OF A BOOLEAN FUNCTION
Rhee, Min-Surp ; Rhee, Hyun-Sook ; Shin, Hyun-Yong ;
The Pure and Applied Mathematics, volume 6, issue 2, 1999, Pages 79~86
Abstract
A Boolean function generates a binary sequence which is frequently used in a stream cipher. There are number of critical concepts which a Boolean function, as a key stream generator in a stream cipher, satisfies. These are nonlinearity, correlation immunity, balancedness, SAC (strictly avalanche criterion), PC (propagation criterion) and so on. In this paper we construct an algorithm for finding the correlation immune order of a Boolean function, and check how long to find the correlation immune order of a given Boolean function in our algorithm.
5
UNIFORMLY LOCALLY UNIVALENT FUNCTIONS
Song, Tai-Sung ;
The Pure and Applied Mathematics, volume 6, issue 2, 1999, Pages 87~93
Abstract
A holomorphic function f on D = {z : │z│ ＜ 1} is called uniformly locally univalent if there exists a positive constant
such that f is univalent in every hyperbolic disk of hyperbolic radius
. We establish a characterization of uniformly locally univalent functions and investigate uniform local univalence of holomorphic universal covering projections.
6
PARTIAL DIFFERENTIAL EQUATIONS AND SCALAR CURVATURE ON SEMIRIEMANNIAN MANIFOLDS (II)
Jung, Yoon-Tae ; Kim, Yun-Jeong ; Lee, Soo-Young ; Shin, Cheol-Guen ;
The Pure and Applied Mathematics, volume 6, issue 2, 1999, Pages 95~101
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
with specific scalar curvatures.
7
ON THE G(F)-SEQUENCE OF A CW-TRIPLE
Son, Hong-Chan ;
The Pure and Applied Mathematics, volume 6, issue 2, 1999, Pages 103~111
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.
8
MODEL FOR THE CONTAMINATION OF CONFINED AQUIFERS BY POLLUTANTS
Bestman, A.R. ; Odigi, M.I. ;
The Pure and Applied Mathematics, volume 6, issue 2, 1999, Pages 113~120
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.
9
A NOTE ON PASCAL'S MATRIX
Cheon, Gi-Sang ; Kim, Jin-Soo ; Yoon, Haeng-Won ;
The Pure and Applied Mathematics, volume 6, issue 2, 1999, Pages 121~127
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.