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Communications of the Korean Mathematical Society
Journal Basic Information
pISSN :
1225-1763
eISSN :
2234-3024
Journal DOI :
10.4134/CKMS
Frequency :
Others
Publisher:
The Korean Mathematical Society
Editor in Chief :
Seoung Dal Jung
Volume & Issues
Volume 15, Issue 4 - Oct 2000
Volume 15, Issue 3 - Sep 2000
Volume 15, Issue 2 - Apr 2000
Volume 15, Issue 1 - Jan 2000
Volume 15309, Issue 2 - 00 2000
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1
위너공간에서의 푸리에-파인만 변환과 합성곱
;;;
;
Communications of the Korean Mathematical Society, volume 15, issue 1, 2000, Pages 1~27
Abstract
2
CENTER SYMMETRY OF INCIDENCE MATRICES
Lee, Woo ;
Communications of the Korean Mathematical Society, volume 15, issue 1, 2000, Pages 29~36
Abstract
The T-ideal of F(X) generated by
for all x
X, is generated also by the symmetric polynomials. For each symmetric poly-nomial, there corresponds one row of the incidence matrix. Finding the nilpotency of nil-algebra of nil-index n is equivalent to determining the smallest integer N such that the (n, N)-incidence matrix has rank equal to N!. In this work, we show that the (n, (equation omitted)
-incidence matrix is center-symmetric.
3
p-ADIC HEIGHTS
Shim, Kyung-Ah ; Woo, Sung-Sik ;
Communications of the Korean Mathematical Society, volume 15, issue 1, 2000, Pages 37~44
Abstract
In this paper, for a given p-adic quasicharacter
:
longrightarrow
satisfying a special condition, we will explicitly construct an admissible pairing corresponding to
. We define a p-adic height on the arbitrary abelian varieties associated to divisors and
by using admissible pairings at every nonarchimedean places. We also show that our p-adic height satisfies similar properties of Neron-Tate's canonical p-adic height.t.ght.t.t.
4
THE STABILITY OF THE GENERALIZED FORM FOR THE GAMMA FUNCTIONAL EQUATION
Kim, Gwang-Hui ; Lee, Young-Whan ;
Communications of the Korean Mathematical Society, volume 15, issue 1, 2000, Pages 45~50
Abstract
The modified Hyers-Ulam-Rassias Stability Of the generalized form g(x+p) :
(x)g(x) for the Gamma functional equation shall be proved. As a consequence we obtain the stability theorems for the gamma functional equation.
5
A NEW CLASS OF INTEGRALS INVOLVING HYPERGEOMETRIC FUNCTION
Arjun K. Rathie ; Choi, June-Sang ; Vishakha Nagar ;
Communications of the Korean Mathematical Society, volume 15, issue 1, 2000, Pages 51~57
Abstract
The aim of this research is to provide twenty five integrals involving hypergeometric function in the form of a single integral. Fifty two interesting integrals follow as special cases of our main findings. These results are obtained with the help of generalized Watson's theorem on the sum of a
F
recently obtained by Lavoie, Grondin and Rathie. The integrals given in this paper are simple, interesting and easily established, and they may be useful.
6
REFINEMENT PERMUTATIONS OF PRIME POWER ORDER
Park, Dong-Wan ; Jo, Young-Soo ;
Communications of the Korean Mathematical Society, volume 15, issue 1, 2000, Pages 59~69
Abstract
For a permutation
in S
b/, the limit algebra A
of the stationary system given by
is isomorphic to a refinement limit algebra if and only if its exponent set E(
) is the set {0}. In the current paper, we prove a sufficient condition under which E(
)={0} when the order of
is a power of p, where p is a prime number dividing b.
7
NOTE ON THREE OF RAMANUJAN'S THEOREMS
Park, In-Hyok ; Seo, Tae-Young ;
Communications of the Korean Mathematical Society, volume 15, issue 1, 2000, Pages 71~75
Abstract
The object of this note is to introduce three Ramanuian's formulae of similar nature among his many curious ones and to prove them by making use of the theory of generalized hypergeometric series.
8
BANACH ALGEBRA OF FUNCTIONALS OVER PATHS IN ABSTRACT WINER SPACE
Park, Yeon-Hee ;
Communications of the Korean Mathematical Society, volume 15, issue 1, 2000, Pages 77~90
Abstract
In this paper, we will establish the existence theorem of the operator valued function space integral over paths in abstract Wiener space under the general conditions rather than the known conditions.
9
REMARKS ON DENJOY-DUNFORD AND DENJOY-PETTIS INTEGRALS
Park, Chun-Kee ;
Communications of the Korean Mathematical Society, volume 15, issue 1, 2000, Pages 91~102
Abstract
In this paper we generalize some results of R. A. Gordon ([4]) and J. L. Garmez and J. Mendoza ([3]) and prove some convergence theorems for Denjoy-Dunford and Denjoy-Pettis integrable functions.
10
ON A GENERALIZATION OF FENCHEL`S THEOREM
Chai, Y.D. ; Kim, Moon-Jeong ;
Communications of the Korean Mathematical Society, volume 15, issue 1, 2000, Pages 103~109
Abstract
In this paper, we present the proof of generalized Fenchel's theorem by estimating the Gauss-Kronecker curvature of the tube of a nondegenerate closed curve in R
.
11
유클리드 기하학
;
;
Communications of the Korean Mathematical Society, volume 15, issue 1, 2000, Pages 111~121
Abstract
12
H
LDER CONTINUITY OF H-SSSI S
S PROCESSES
Kim, Joo-Mok ;
Communications of the Korean Mathematical Society, volume 15, issue 1, 2000, Pages 123~131
Abstract
Let {X(t) : t
B 0} be a Symmetric
Stable and H-Self-similar process with stationary increments. We examine a.s. Holder unboundedness of S
S H-sssi Chentsov processes and H-sssi Chentsov fields for order
>H. Finally, we prove a.s. Holder continuity of S
S H-sssi processes with ergodic seating transformations for the case of H>1/
.
13
NUMERICAL SOLUTION OF EQUILIBRIUM EQUATIONS
Jang, Ho-Jong ;
Communications of the Korean Mathematical Society, volume 15, issue 1, 2000, Pages 133~142
Abstract
We consider some numerical solution methods for equilibrium equations Af + E
λ = r, Ef = s. Algebraic problems of this form evolve from many applications such as structural optimization, fluid flow, and circuits. An important approach, called the force method, to the solution to such problems involves dimension reduction nullspace computation for E. The purpose of this paper is to investigate the substructuring method for the solution step of the force method in the context of the incompressible fluid flow. We also suggests some iterative methods based upon substructuring scheme..
14
BLOCK DIAGONAL PRECONDITIONERS FOR THE GALERKIN LEAST SQUARES METHOD IN LINEAR ELASTICITY
Yoo, Jae-Chil ;
Communications of the Korean Mathematical Society, volume 15, issue 1, 2000, Pages 143~153
Abstract
In [8], Franca and Stenberg developed several Galerkin least squares methods for the solution of the problem of linear elasticity. That work concerned itself only with the error estimates of the method. It did not address the related problem of finding effective methods for the solution of the associated linear systems. In this work, we propose the block diagonal preconditioners. The preconditioned conjugate residual method is robust in that the convergence is uniform as the parameter, v, goes to
. Computational experiments are included.
15
ANALYTICAL AND NUMERICAL STUDY OF MODE INTERACTIONS IN SHOCK-INDUCED INTERFACIAL INSTABILITY
Sohn, Sung-Ik ;
Communications of the Korean Mathematical Society, volume 15, issue 1, 2000, Pages 155~172
Abstract
Mode interactions at Unstable fluid interfaces induced by a shock wave (Richtmyer-Meshkov Instability) are studied both analytically and numerically. The analytical approach is based on a potential flow model with source singularities in incompressible fluids of infinite density ratio. The potential flow model shows that a single bubble has a decaying growth rates at late time and an asymptotic constant radius. Bubble interactions, bubbles of different radii propagates with different velocities and the leading bubbles grow in size at the expense of their neighboring bubbles, are predicted by the potential flow model. This phenomenon is validated by full numerical simulations of the Richtmyer-Meshkov instability in compressible fluids for initial multi-frequency perturbations on the unstable interface.
16
FREE SURFACE WAVES OF A TWO-LAYER FLUID OVER A STEP
Choi, Jeong-Whan ; Whang, Sung-Im ;
Communications of the Korean Mathematical Society, volume 15, issue 1, 2000, Pages 173~181
Abstract
The objective of this paper is to study two dimensional steady gravitational waves on the interface between two immiscible, inviscid and incompressible fluids bounded above by a horizontal rigid boundary and below by a rigid step. A KdV equation for the first order perturbation in an asymptotic expansion can appear. However the coefficient of the KdV theory fails in that case. By a unified asymptotic method, we overcome this difficulty and derive a modified KdV equation with forcing. We find homogeneous steady solutions and present numerical solutions.
17
CONDITION FOR SMOOTHNESS OF HIGH ACCURACY WAVELET BASIS
Kwon, Soon-Geol ;
Communications of the Korean Mathematical Society, volume 15, issue 1, 2000, Pages 183~195
Abstract
High accuracy Wavelet basis
is constructed in [2]. We derive a condition for smoothness of the basis function
(x).