• Journal of applied mathematics & informatics
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• v.26 no.5_6
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• pp.961-972
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• 2008

In this paper, we consider the global exponential stability of cellular neural networks with time-varying delays. Based on the Lyapunov function method and convex optimization approach, a novel delay-dependent criterion of the system is derived in terms of LMI (linear matrix inequality). In order to solve effectively the LMI convex optimization problem, the interior point algorithm is utilized in this work. Two numerical examples are given to show the effectiveness of our results.

• Education of Primary School Mathematics
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• v.26 no.2
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• pp.115-124
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• 2023

This study aimed to investigate elementary school teachers' interest in mathematics textbooks following the new change in the publication system for elementary mathematics textbooks. To achieve this, an online survey platform was used to conduct a survey of elementary school teachers in teaching grade 3-4 across the country, and the responses of 199 participants were analyzed to determine their interest in mathematics textbooks. The research results showed that elementary school teachers had high levels of interest in mathematics textbooks, particularly in informational and personal interest. Moreover, the stages at which teachers showed the highest level of interest were reinforcement interest and operational interest. Analysis of the differences in interest in mathematics textbooks based on personal variables showed significant differences depending on the teacher's experience in mathematics education training, satisfaction with mathematics textbooks, and whether they majored in mathematics education. Based on these findings, it can be inferred that elementary school teachers have a high level of informational interest in the characteristics, strengths, weaknesses, and materials related to authorized and approved mathematics textbooks, and their high level of personal interest in mathematics textbooks can have a positive effect in line with the goal of the new textbook system. Additionally, since many teachers showed a high level of interest in reinforcement interest, it is necessary to devise various ways to support teachers' creative use and reconstruction of mathematics textbooks.

• Structural Engineering and Mechanics
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• v.56 no.3
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• pp.385-407
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• 2015

This paper deals with the problem of the global stabilization for a class of tension leg platform (TLP) nonlinear control systems. It is well known that, in general, the global asymptotic stability of the TLP subsystems does not imply the global asymptotic stability of the composite closed-loop system. Finding system parameters for stabilizing the control system is also an issue need to be concerned. In this paper, we give additional sufficient conditions for the global stabilization of a TLP nonlinear system. In particular, we consider a class of NN based Takagi-Sugeno (TS) fuzzy TLP systems. Using the so-called parallel distributed compensation (PDC) controller, we prove that this class of systems can be globally asymptotically stable. The proper design of system parameters are found by a swarm intelligence algorithm called Evolved Bat Algorithm (EBA). An illustrative example is given to show the applicability of the main result.

• Nuclear Engineering and Technology
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• v.53 no.4
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• pp.1088-1099
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• 2021

Time-frequency analysis technique is an effective analysis tool for non-stationary processes. In the field of reactor neutron noise, the time-frequency analysis method has not been thoroughly researched and widely used. This work has studied the time-frequency analysis of the reactor neutron noise experimental signals under bubble disturbance and control rod vibration. First, an experimental platform was established, and it could be employed to reactor neutron noise experiment and data acquisition. Secondly, two types of reactor neutron noise experiments were performed, and valid experimental data was obtained. Finally, time-frequency analysis was conducted on the experimental data, and effective analysis results were obtained in the low-frequency part. Through this work, it can be concluded that the time-frequency analysis technique can effectively investigate the core dynamics behavior and deepen the identification of the unstable core process.

• The Mathematical Education
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• v.62 no.1
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• pp.117-149
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• 2023

This study attempted to design a virtual space using ZEP, a metaverse platform, to enable mathematics classes in the metaverse space, to apply it to mathematics classes, and to find out changes in students' affective domain. As a result, students showed positive effects in terms of subject efficacy, subject interest, intrinsic motivation, class satisfaction and participation. In addition, we found the possibility of customized classes for each student level by performing different missions in classroom classes with limited time and space.

• Journal of Elementary Mathematics Education in Korea
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• v.2 no.1
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• pp.61-80
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• 1998

Whereas research on telelearning in educational technology area is lively done, that in mathematics education area is not. Related to the open education, telelearning has 4 models: the distance classroom model, the front-end system design, the knowledge construction model, and the teaching model based on data. S/W, C/W, and H/W are the components of telelearning system. For an effective mathematics telelearning system, H/W and S/W which use multimedia with complex multimode information such as text, graphics, animation, video, and audio are necessary. Examples of telelearning systems on going are MIPOS, SDS telelearning system, telelearning system of the Naechon Elementary School, and Doorae Multimedia Application Development Platform.

• The Korean Journal of Applied Statistics
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• v.26 no.2
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• pp.307-319
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• 2013

With the rapid accumulation of microarray data, it is a significant challenge to integrate available data sets addressing the same biological questions that can provide more samples and better experimental results. Sometimes, different microarray platforms make it difficult to effectively integrate data from several studies and there is no consensus on which method is the best to produce a single and unified data set. Methods using median rank score, quantile discretization and standardization (which directly combine rescaled gene expression values) and meta-analysis (which combine the results of individual studies at the interpretative level) are reviewed. Real data examples downloaded from GEO are used to compare the performance of these methods and to evaluate if the combined data set detects more reliable information from the separated data sets or not.

• Journal for History of Mathematics
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• v.21 no.1
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• pp.121-138
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• 2008

In this study, we designed and developed Web-based 3D figure learning program which can create and control the 3D figures effectively in cyberspace. To develop this learning program, we used the JAVA 3D because JAVA 3D can express 3D figures effectively in cyberspace and is platform independent. This program is very helpful for learners to understand the concept of 3D space and the formulation of space concept effectively. Also it motivates learners to understand 3D figures study and enables Self-Directed-Learning.

• Journal of The Korean Association of Information Education
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• v.19 no.2
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• pp.215-224
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• 2015

For this, 410 development topics and contents were selected based on the analysis of contents related to mathematics and science, the pre-investigation and analysis of mathematics and science teachers in agricultural, mountain and fishing villages and the analysis of the 2009 revised curriculum. The validity verification of the selected subject list and implementation plan was implemented through the reviews by experts in each subject and the storyboard was designed by reflecting the examination opinion after the final revision. Development directions of the contents were set after analyzing the application result of contents from classroom for creativity and science and selected schools in agricultural, mountain and fishing villages for demonstration, and opened the platform after the revision and supplement of the expert. It is expected to elevate students' self-directed learning abilities in agricultural, mountain and fishing villages by developing and extending smart learning contents to use ICT in Mathematics and science education, which are high in urbanrural academic disparity.

• International Journal of Fuzzy Logic and Intelligent Systems
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• v.11 no.1
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• pp.49-53
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• 2011

Path following of the mobile robot is one research hot for the mobile robot navigation. For the control system of the wheeled mobile robot(WMR) being in nonhonolomic system and the complex relations among the control parameters, it is difficult to solve the problem based on traditional mathematics model. In this paper, we presents a simple and effective way of implementing an adaptive following controller based on the PID for mobile robot path following. The method uses a non-linear model of mobile robot kinematics and thus allows an accurate prediction of the future trajectories. The proposed controller has a parallel structure that consists of PID controller with a fixed gain. The control law is constructed on the basis of Lyapunov stability theory. Computer simulation for a differentially driven nonholonomic mobile robot is carried out in the velocity and orientation tracking control of the nonholonomic WMR. The simulation results of wheel type mobile robot platform are given to show the effectiveness of the proposed algorithm.