• Journal of Korea Game Society
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• v.4 no.4
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• pp.19-24
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• 2004

In this paper, we have proposed a new geometric solution of inverse kinematics of high instinct, while traditional solutions of inverse kinematics requires high level of mathematical knowledge. It was possible to use the inverse kinematics without mathematical knowledge because 3D vectors of directions of folded bones could be calculated by our method in the inverse kinematic model of two bones. The proposed method can be utilized easily by graphic designers who have little knowledge of mathematics of inverse kinematics

• Journal of Korea Game Society
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• v.7 no.3
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• pp.23-30
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• 2007

Game balance is an very important factor for game design, it is necessary factor to make game more fun. Most of game companies have been using their own balance method for successful game development. An efficient balance method always can't guarantee successful game development but it is true for game developer to need standard balance method for efficient game development. Fighting system between characters is mainly implemented in genre including action. Direct balance factors for fighting between characters are their characteristics and attack patterns. In this paper, We identify direct balance factors for game including fighting system between characters and propose mathematical method for it.

• Kyungpook Mathematical Journal
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• v.18 no.1
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• pp.125-134
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• 1978

• Journal of the Chungcheong Mathematical Society
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• v.8 no.1
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• pp.89-93
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• 1995

The purpose of this note is to give a new existence of fixed point using the connectedness, and next an equilibrium existence theorem for 1-person game is established as an application.

• Kyungpook Mathematical Journal
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• v.54 no.1
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• pp.155-156
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• 2014

• Honam Mathematical Journal
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• v.35 no.2
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• pp.225-234
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• 2013

Many studies of experimental economics have produced outcomes which contradict the predictions of Nash equilibrium, which relies heavily upon the premise of selfishness of an individual. In the games involving contexts of social conflicts represented by the prisoners' dilemma game, the experiments yields outcomes quite different from what are predicted by the conventional wisdom. In order to fill this gap between the conventional Nash Equilibrium and experimental outcomes, non-selfish (or other-regarding) motives of human behavior are introduced and then a new equilibrium concept, RAE-equilibrium is developed. It is also proved that an RAE-equilibrium exists under quite general conditions. Then it is applied to the prisoners' dilemma game that some of the experimental outcomes can be explained.

• 제어로봇시스템학회:학술대회논문집
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• 1998.10a
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• pp.379-379
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• 1998

The report presents an approach to constructing or control algorithms for finite dimensional dynamical systems under the deficit of information about dynamical disturbances. The approach is based on the constructions of the extremal shift strategy of the differential game theory.

• Journal for History of Mathematics
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• v.20 no.3
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• pp.43-58
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• 2007

We review the eastern frog jump game and the western solitaire to apply the Baduk Pieces Game to mathematical education. This study introduce a didactical method of Baduk Pieces Game which is constructed with simplification, generalization, and extension. This didactical applications of the Baduk Pieces Game gives the students opportunities of patterns, generalization, and problem solving strategies.

• Korean Journal of Child Studies
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• v.28 no.3
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• pp.133-148
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• 2007

The 90 children in this study were grouped with 30 each in the experimental group, and the 2 comparison groups. Research methods over 8 weeks were in the sequence starting from teacher/assistant teacher education, then pretest, followed by development-adaptation of experimental model of math games, and post-test. The experimental group conducted child-initiated math games, comparison group I children proceeded with teacher-initiated math games, and comparison group II children proceeded with co-initiated math games. Statistical evaluation was by ANOVA and ANCOVA. Findings were that the child-initiated math game group scored higher on children's mathematical ability than the two comparison groups. Boys in the experimental group scored higher on children's mathematical ability than girls.

• KSII Transactions on Internet and Information Systems (TIIS)
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• v.15 no.3
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• pp.1015-1029
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• 2021

Modern technology offers many ways to enhance teaching and learning that in turn promote the development of tools for educational activities both inside and outside the classroom. Many educational programs using the augmented reality (AR) technology are being widely used to provide supplementary learning materials for students. This paper describes the potential and challenges of using GeoGebra AR in mathematical studies, whereby students can view 3D geometric objects for a better understanding of their structure, and verifies the feasibility of its use based on experimental results. The GeoGebra software can be used to draw geometric objects, and 3D geometric objects can be viewed using AR software or AR applications on mobile phones or computer tablets. These could provide some of the required materials for mathematical education at high schools or universities. The use of the GeoGebra application for education in Laos will be particularly discussed in this paper.