• The Journal of Korean Association of Computer Education
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• v.7 no.4
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• pp.7-14
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• 2004

Since the science of information is appearing no less important than mathematics and natural science as our society is rapidly becoming information-oriented, the necessity to distinguish prodigies of this field and to educate them as early as possible is also being emphasized. Unfortunately, however, the pertinent study is still in its beginning stage. In this study, I have reviewed the character, definition and method to distinguish prodigies and the procedure of developing a test, as well as researching and analyzing the proper process of distinguishing prodigies, through theoretical contemplation on the method of distinguishing the gifted children. Also, I have characterized and defined the information prodigies after clarifying the character of 'Discrete Mathematics' which becomes the basis of the science of information, paving the way to make a test method that can distinguish those information prodigies. As a result of our applying the system by using the distinction test, it turned out that the distinction test was pretty reliable. Accordingly, it can be utilized as a significant distinction test for information prodigies in the forthcoming future.

• Journal of Korean Society for Quality Management
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• v.18 no.1
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• pp.29-39
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• 1990

In this paper we propose a nonparametric test for testing the equality of several regression lines against ordered alternatives, when the independent variables are positive and all regression lines have a common intercept. The proposed test is based on a Jonckheere-type statistic applied to residuals. Under some conditions our proposed test statistic is asymptotically distribution-free. The small-sample powers of our test are compared with other tests by a Monte Carlo study. The simulation results show that the proposed test has significantly higher empirical powers than the other tests considered in this paper.

• The Journal of Korean Association of Computer Education
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• v.17 no.2
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• pp.77-86
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• 2014

By PISA 2007, TIMSS 2011, Korean high school students had high academic achievement to science and mathematics, while they had low attitude. Prospective college students are increasingly avoiding natural science and engineering. Moreover, the opportunities to learn to computer science in middle and high school are disappeared rapidly. The necessity of STEAM program based on Physical computing arise under these situation. Therefore, we developed STEAM program and studied the effects of the program in 2012. The result showed that students' scientific interests and attitude, scientific problem solving ability, scientific creative problem solving ability, personality test for children, and satisfaction of school life were enhanced. This study is follow-up study for the same students who improved every domain of the measurements. They were administerd pre-test at start of 2012, post-test at end of 2012, and delayed post-test at the end of 2013, on same test. The result of the study showed that only attitude to Scientific Inquiry was enhanced, but there was no significant result on the other domain of the test in comparison with start of 2012. But this result demonstrate the effect of STEAM education conversely.

• Journal of information and communication convergence engineering
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• v.20 no.2
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• pp.79-89
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• 2022

To compute the mean and variance of component-based reliability software, we focused on path-based reliability analysis. System reliability depends on the transition probabilities of components within a system and reliability of the individual components as basic input parameters. The uncertainty in these parameters is estimated from the test data of the corresponding components and arises from the software architecture, failure behaviors, software growth models etc. Typically, researchers perform Monte Carlo simulations to study uncertainty. Thus, we considered a Markov chain Monte Carlo (MCMC) simulation to calculate uncertainty, as it generates random samples through sequential methods. The MCMC approach determines the input parameters from the probability distribution, and then calculates the average approximate expectations for a reliability estimation. The comparison of different techniques for uncertainty analysis helps in selecting the most suitable technique based on data requirements and reliability measures related to the number of components.

• KSII Transactions on Internet and Information Systems (TIIS)
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• v.16 no.3
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• pp.1028-1046
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• 2022

Genome-wide association studies (GWAS) aim to find the significant genetic variants for common complex disease. However, genotype data has privacy information such as disease status and identity, which make data sharing and research difficult. Differential privacy is widely used in the privacy protection of data sharing. The current differential privacy approach in GWAS pays no attention to raw data but to statistical data, and doesn't achieve equilibrium between utility and privacy, so that data sharing is hindered and it hampers the development of genomics. To share data more securely, we propose a differential privacy preserving approach of data sharing for GWAS, and achieve the equilibrium between privacy and data utility. Firstly, a reasonable disturbance interval for the genotype is calculated based on the expected utility. Secondly, based on the interval, we get the Nash equilibrium point between utility and privacy. Finally, based on the equilibrium point, the original genotype matrix is perturbed with differential privacy, and the corresponding random genotype matrix is obtained. We theoretically and experimentally show that the method satisfies expected privacy protection and utility. This method provides engineering guidance for protecting GWAS data privacy.

• Journal of applied mathematics & informatics
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• v.28 no.3_4
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• pp.611-624
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• 2010

A Numerical scheme based on collocation method using quartic B-spline functions is designed for the numerical solution of one-dimensional modified equal width wave (MEW) wave equation. Using Von-Neumann approach the scheme is shown to be unconditionally stable. Performance of the method is validated through test problems including single wave, interaction of two waves and use of Maxwellian initial condition. Using error norms $L_2$ and $L_{\infty}$ and conservative properties of mass, momentum and energy, accuracy and efficiency of the suggested method is established through comparison with the existing numerical techniques.

• Journal of the Korean Mathematical Society
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• v.57 no.5
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• pp.1239-1266
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• 2020

In this paper, some novel discrete formulations for stabilizing the mixed finite element method Q1-Q0 (bilinear velocity and constant pressure approximations) are introduced and discussed for the generalized Stokes problem. These are based on stabilizing discontinuous pressure approximations via local jump operators. The developing idea consists in a reduction of terms in the local jump formulation, introduced earlier, in such a way that stability and convergence properties are preserved. The computer implementation aspects and numerical evaluation of these stabilized discrete formulations are also considered. For illustrating the numerical performance of the proposed approaches and comparing the three versions of the local jump methods alongside with the global jump setting, some obtained results for two test generalized Stokes problems are presented. Numerical tests confirm the stability and accuracy characteristics of the resulting approximations.

• Journal of The Korean Association of Information Education
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• v.15 no.1
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• pp.11-22
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• 2011

The purpose of the research is examine the effect of STEM integration education using educatinal robot on academic achievement and subject Attitude of mathematics and science. The participants were 73 students of two classes, sampled from 6th graders of an elementary school. They were divided into a control group who learned a traditional mathematics and sciences education based textbooks and an experimental group who learned STEM integration education using educational robot during 12 sessions. The results are summarized as follows : First, there is a significant difference in academic achievement between two groups. STEM integration education using educational robot based group accomplished higher achievement than textbook based instruction group. Especially, post test analyzes results on the three factors of academic achievement, knowledge, understanding and adaptation, indicate statistically meaningful difference between two groups in understanding and adaptation area except knowledge area. Second, it shows that it greatly affected a positive influence on experimental group's attitude toward subjects in affective area. So we can expect STEM integration education using educational robot to be an alternative for stimulating children's higher learning interest on mathematics and science subject.

• Journal of the Korean Society for Industrial and Applied Mathematics
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• v.5 no.2
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• pp.63-69
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• 2001

In this study, we shall be concerned with computing in parallel a few of the smallest eigenvalues and their corresponding eigenvectors of the eigenvalue problem, $Ax={\lambda}Bx$, where A is symmetric, and B is symmetric positive definite. Both A and B are large and sparse. Recently iterative algorithms based on the optimization of the Rayleigh quotient have been developed, and CG scheme for the optimization of the Rayleigh quotient has been proven a very attractive and promising technique for large sparse eigenproblems for small extreme eigenvalues. As in the case of a system of linear equations, successful application of the CG scheme to eigenproblems depends also upon the preconditioning techniques. A proper choice of the preconditioner significantly improves the convergence of the CG scheme. The idea underlying the present work is a parallel computation of the Multi-Color Block SSOR preconditioning for the CG optimization of the Rayleigh quotient together with deflation techniques. Multi-Coloring is a simple technique to obatin the parallelism of order n, where n is the dimension of the matrix. Block SSOR is a symmetric preconditioner which is expected to minimize the interprocessor communication due to the blocking. We implemented the results on the CRAY-T3E with 128 nodes. The MPI(Message Passing Interface) library was adopted for the interprocessor communications. The test problems were drawn from the discretizations of partial differential equations by finite difference methods.

• Proceedings of the Korean Institute of Information and Commucation Sciences Conference
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• 2014.05a
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• pp.108-111
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• 2014

In this paper, we tried to identify implications of selecting gifted of information science & followed educational system via analyzing each of student's characteristics in each subjects they study within Science Education Institute for the Gifted. A study of the existing institutions do not have experience of the gifted students based on assessment through observation of the 1-year science, mathematics and information science education in the List of attribute analysis. Learners of Information Science became with analysis that Attitude Category was superior in mathematics to the subject of science and Problem Solving Category regardless of the subjects showed similar. As to, Attitude Category, Problem Solving Category and Mathematics Cognition Category was analyzed to be closed and we could confirm through the qualitative observation record. On this, the researcher concluded that the mathematics could know the effect fitness by a learner rather than the subject of science as to an attitude and problem resolution area.