• Communications of the Korean Mathematical Society
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• v.12 no.3
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• pp.603-617
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• 1997

Consider a Sobolev inner product on the space of polynomials such as $$ \phi(p,q) = \lambda p(c)q(c) + <\tau,p'(x)q'(x)> $$ where $\tau$ is a moment functional and c and $\lambda$ are real constants. We investigate properties of orthogonal polynomials relative to $\phi(\cdot,\cdot)$ and give necessary and sufficient conditions under which such Sobolev orthogonal polynomials satisfy a spectral type differential equation with polynomial coefficients.

• 프린팅코리아
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• v.12 no.11
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• pp.78-79
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• 2013

라벨 인쇄 저문 업체인 (주)세롬(대표이사 박정훈)이 UV 디지털 라벨 프레스(Tau 330, Tau 330/200)와 레이저 후가공기(LFS 330)를 판매하기 위해 유통조직 (주)디디피스토리를 설립하고 지난 10월 15일 그랜드앰배서더 호텔에서 Tau 330 런칭쇼를 개최했다. 런칭쇼에서 박정훈 대표이사는 라벨 인쇄사를 경영하는 인쇄인의 입장에서 최적의 장비를 가장 합리적인 가격에 공급하겠다는 포부를 밝혔다. 디지털 라벨 장비 업계에 출사표를 내민 (주)디티피스토리의 박정훈 대표이사를 만나 디지털 장비 업계 진출 배경과 향후 목표 등에 대해 들어봤다.

• Journal of the Korean Mathematical Society
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• v.47 no.4
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• pp.735-742
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• 2010

In this paper, we define and study the concept of $\wedge^s_{\delta}$-closure operator and the associated topology $\tau^{\wedge}^s_{\delta}$ on a topological space (X, $\tau$) in terms of g.$\wedge^s_{\delta}$-sets.

• Proceedings of the Korean Institute of Navigation and Port Research Conference
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• 2011.11a
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• pp.60-62
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• 2011

The presentation raises some elements related to marine traffic safety in Sai Gon-Vung Tau fairway with the aim that it could be a basis for further analysis to find out a solution for improving marine traffic safety in the fairway, the most important fairway in the South part of Vietnam.

• Proceedings of the Korean Institute of Electrical and Electronic Material Engineers Conference
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• 1993.11a
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• pp.141-143
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• 1993

A nontoxic organic photoreceptor for near infrared light has been developed. A double layered photoreceptor using $\tau$-H$_2$Pc as the CGL was made. The CTL was formed by oxadiazole derivative dispersed in two other host polymers. This photoreceptor has a charge acceptance of -900 V when a corona charge is used, and has residual potentials of -20 V for PC, and -10 V for PVB by light irradiation.

• Journal of the Korean Mathematical Society
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• v.31 no.3
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• pp.439-456
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• 1994

Let $\tau$ be a given hereditary torsion theory for left R-module category R-Mod. The class of all $\tau$-torsion left R-modules, denoted by T is closed under homomorphic images, submodules, direct sums and extensions. And the class of all $\tau$-torsionfree left R-modules, denoted by $F$, is closed under submodules, injective hulls, direct products, and isomorphic copies ([3], Proposition 1.7 and 1.10).

• Journal of the Korean Statistical Society
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• v.7 no.1
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• pp.17-26
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• 1978

For testing $\beta_i=\beta, i=1,...,k$, in the regression model $Y_{ij} = \alpha_i + \beta_ix_{ij} + e_{ij}, j=1,...,n_i$, a simple and robust test based on Kendall's tau is proposed. Its asymptotic distribution is proved to be chi-square under the null hypthesis and noncentral chi-square under an appropriate sequence of alternatives. For the optimal designs, the asymptotic relative efficiency of the proposed procedure with respect to the least squares procedure is the same as that of the Wilcoxon test with respect to the t-test.

• Journal of the Korean Society for Industrial and Applied Mathematics
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• v.4 no.2
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• pp.111-133
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• 2000

A Legendre spectral tau approximation scheme for solving the two-dimensional stationary incompressible Stokes equations is considered. Based on the vorticity-stream function formulation and variational forms, boundary value and normal derivative of vorticity are computed. A factorization technique for matrix stems based on the Schur decomposition is derived. Several numerical experiments are performed.

• The Mathematical Education
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• v.31 no.2
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• pp.133-140
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• 1992

The problem of estimating a smooth distribution function F at a point $\tau$ based on randomly right censored data is treated under certain smoothness conditions on F . The asymptotic performance of a certain class of kernel estimators is compared to that of the Kap lan-Meier estimator of F($\tau$). It is shown that the .elative deficiency of the Kaplan-Meier estimate. of F($\tau$) with respect to the appropriately chosen kernel type estimate. tends to infinity as the sample size n increases to infinity. Strong uniform consistency and the weak convergence of the normalized process are also proved.

• Honam Mathematical Journal
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• v.24 no.1
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• pp.35-41
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• 2002

The solutions of a homogeneous system in state space form $\dot{x}=Ax$ are to the form $x=e^{At}x_0$ and the solutions of an inhomogeneous system $\dot{x}=Ax(t)+f(t)$ are to the form $x=e^{At}x_0+{{\int}_0^t}\;e^{A(t-{\tau})}f({\tau})d{\tau}$. In this note we show that the solution of descriptor systems under some conditions exists, and is unique, moreover it is interesting to know the solutions of descriptor system are schematically like the solutions as in the state space form. Also we will give some algorithms to compute these solutions.