• Journal of the Korean Statistical Society
• /
• v.22 no.2
• /
• pp.249-258
• /
• 1993

It is well known that design matrix X for any factorial design can be represented by a product $X = TX_o$ where T is replication matrix and $X_o$ is the corresponding balanced design matrix. Since $X_o$ consists of regular arrangement of 0's and 1's, we can easily find the spectral decomposition of $X_o',X_o$. Also using this we propose an efficient algorithm for computing the orthogonal projection matrix for a balanced factorial design.

• Journal of applied mathematics & informatics
• /
• v.31 no.1_2
• /
• pp.263-276
• /
• 2013

We discuss the effects of the ${\delta}^2$ and Lubkin acceleration methods on the partial sums of Fourier Series. We construct continuous, even H$\ddot{o}$lder continuous functions, for which these acceleration methods fail to give convergence. The constructed functions include some interesting trigonometric series whose properties were investigated by Hardy and Littlewood.

• East Asian mathematical journal
• /
• v.28 no.5
• /
• pp.569-578
• /
• 2012

In this paper, the necessary and sufficient conditions for the strong convergence of a modified Mann iteration process to a fixed point of an asymptotically demicontractive mapping in real Banach spaces are considered. Presented results improve and extend the results of Igbokwe [3], Liu [4], Moore and Nnoli [6] and Osilike [7].

• Asian Pacific Journal of Cancer Prevention
• /
• v.17 no.10
• /
• pp.4549-4551
• /
• 2016

• Archives of Craniofacial Surgery
• /
• v.21 no.2
• /
• pp.106-108
• /
• 2020

Premature fusion of one or other of the minor sutures can subtly influence the shape of the human skull. Although infrequently reported or not clinically recognized, it can such contribute to a variety of craniofacial dysmorphisms. We herein report a case of late presenting, isolated bilateral synostosis of the squamosal suture dysmorphologies whose presentation mimics aspects of sagittal synostosis.

• Proceedings of the Optical Society of Korea Conference
• /
• 2002.07a
• /
• pp.38-39
• /
• 2002

Optical telecommunication has been growing at a rate that exceeds even the "Moore′s Law". However, while the electronic revolution has allowed everyone to have his/her own PC, the optical revolution is still confined to the long-haul network such that the individual end users are still connected to an electronic metro/access networks. However, given the rapid increase in the data traffic (e.g., multimedia), the optical edge that separates the individual end users from optical networks will eventually have to include the metro/acces networks. (omitted)

• Journal of the Korean Statistical Society
• /
• v.28 no.4
• /
• pp.479-488
• /
• 1999

Moore and Stubblebine(1981) suggested a chi-square test for multivariate normality based on cell counts calculated from the sample Mahalanobis distances. They derived the limiting distribution of the test statistic only when equiprobable cells are employed. Using conditional limit theorems, we derive the limiting distribution of the statistic as well as the asymptotic normality of the cell counts. These distributions are valid even when equiprobable cells are not employed. We finally apply this method to a real data set.

• Bulletin of the Korean Mathematical Society
• /
• v.25 no.2
• /
• pp.171-174
• /
• 1988

Let M be an n-dimensional compact connected and oriented Riemannian manifold isometrically immersed in an (n+2)-dimensional Euclidean space $R^{n+2}$. Moore [5] proved that if M is of positive curvature, then M is a homotopy sphere. This result is generalized by Baldin and Mercuri [2], Baik and Shin [1] to the case of non-negative curvature, which is stated as follows: If M of non-negative curvature, then M is either a homotopy sphere or diffeomorphic to a product of two spheres. In particular, if there is a point at which the curvature operator is positive, then M is homeomorphic to a sphere.e.

• Bulletin of the Korean Mathematical Society
• /
• v.52 no.5
• /
• pp.1669-1681
• /
• 2015

In this paper, we provide semi-convergence results of the parameterized inexact Uzawa method with singular preconditioners for solving singular saddle point problems. We also provide numerical experiments to examine the effectiveness of the parameterized inexact Uzawa method with singular preconditioners.

• Journal of the Korean Mathematical Society
• /
• v.45 no.3
• /
• pp.699-709
• /
• 2008

We study homology of the gauge group associated with the principal $G_2$ bundle over the four-sphere using the Eilenberg-Moore spectral sequence and the Serre spectral sequence with the aid of homology and cohomology operations.