• Journal of the Korean Statistical Society
• /
• v.21 no.2
• /
• pp.167-177
• /
• 1992

In this paper, we investigate the limiting distribution of $M_n = max (X_1, X-2, \cdots, X_n)$ in the infinite moving average process ${X_t = \sum c_i Z_{t-i}}$ generated from i.i.d. negative binomial variables $Z_i$'s. While no limit result is possible, nonetheless asymptotic bounds are derived. We also present the tail behavior of $X_t$, i.e., weighted sum of i.i.d. random variables. This continues a study made by Rootzen (1986) for discrete innovation sequences.

• Korean Journal of Mathematics
• /
• v.22 no.2
• /
• pp.317-323
• /
• 2014

In this paper, we solve the additive functional inequality $${\parallel}f(x)+f(y)+f(z){\parallel}{\leq}{\parallel}{\rho}f(s(x+y+z)){\parallel}$$, where s is a nonzero real number and ${\rho}$ is a real number with ${\mid}{\rho}{\mid}$ < 3. Moreover, we prove the Hyers-Ulam stability of the above additive functional inequality in Banach spaces.

• Bulletin of the Korean Mathematical Society
• /
• v.51 no.6
• /
• pp.1605-1614
• /
• 2014

In continuation to the investigation initiated by Ferraz, Goodaire and Milies in [4], we provide an explicit description for the Wedderburn decomposition of finite semisimple group algebras of the class of finite groups G, such that $$G/Z(G){\simeq_-}C_2{\times}C_2$$, where Z(G) denotes the center of G.

• Proceedings of the Materials Research Society of Korea Conference
• /
• 2007.11a
• /
• pp.79.2-79.2
• /
• 2007

• East Asian mathematical journal
• /
• v.18 no.2
• /
• pp.205-209
• /
• 2002

In the paper the following propositions are proved. 1) If ($Q,{\cdot},e$) is a B-algebra, then there exists a group($Q,A,^{-1}$, 1) such that the following equalities hold e=1 and ${\cdot}=^{-1}A$, where $^{-1}A(x,y)=z{\Longleftrightarrow^{def}}A(z,y)=x$; and 2) If ($Q,A,^{-1}$, e) is a group, then ($Q,^{-1}A$, e) is a B-algebra.

• Proceedings of the Korean Society of Life Science Conference
• /
• 2008.10a
• /
• pp.88.2-88.2
• /
• 2008

• The Journal of the Korean dental association
• /
• v.53 no.12
• /
• pp.917-925
• /
• 2015

LASER application has many advantages in the field of dentistry, however, it is not easy to apply dental LASER in general practice. Various LASER systems are in the market and it is little bit confused which LASER systems are useful. Most of all, it is important to select the appropriate LASER system to their own usage. In the present article, I introduce several LASER system such as $CO_2$, Diode, Nd:YAG, Er:YG, Er,Cr:YSGG, and its application according to specific disease criteria.

• Bulletin of the Korean Chemical Society
• /
• v.30 no.10
• /
• pp.2481-2484
• /
• 2009

• Structural Engineering and Mechanics
• /
• v.6 no.1
• /
• pp.115-124
• /
• 1998

A novel boundary stress resolution method is suggested in this paper, which is based upon the displacements of finite element analysis and of high precision with stress boundary condition strictly satisfied. The method is used to modify the Zienkiewicz-Zhu ($Z^2$) a posteriori error estimator and for the h-version adaptive finite element analysis of crack problems. Successful results are obtained.

• The Journal of Natural Sciences
• /
• v.5 no.1
• /
• pp.1-3
• /
• 1992

G가 compact Lie 군이고 $\pi$ : $E to S^1$이 $S^1$ 상의 G-line bundle 일때, 군 작용이 없다면, 부드러운 trivial G-line bundle $E to S^1$ 은 S(V) $\times$ $\delta to S(V)$ 와 동치이고 부드러운 nontrivial G-line bundle $E to S^1$ 은 S(V) $\times$$z_2$ $\delta to S(V)$/$Z_2$=P(V)와 동치 이다.