• Communications of Mathematical Education
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• v.21 no.1 s.29
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• pp.19-31
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• 2007

Currently the mathematics gifted students educational program is plentifully being developed for the elementary and the junior high school students. But the educational program for the gifted students who comes and goes to the high school is not many. This study look for the regularity and generalization of Hanoi Tower with 4 pillars, from the regularity and generalization of Hanoi Tower with 3 pillars. I think this study will be a clue to find the regularity and generalization of Hanoi Tower with n pillars, it's not solved still.

• Bulletin of the Korean Mathematical Society
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• v.27 no.2
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• pp.113-120
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• 1990

In this paper we introduce S(X, $x_{0}$) which is a generalization of Ellis group G(X, $x_{0}$), and S-sets in S(X, $x_{0}$). In particular we cind the sufficient condition for the group A(I) of all automorphisms of I and K=Iu to be isomorphic, where I is a minimal right ideal and u is an idempotent of I.f I.

• Journal of applied mathematics & informatics
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• v.36 no.3_4
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• pp.285-299
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• 2018

In this article, we present the Stancu generalization of (p, q)-$Sz{\acute{a}}sz$-Mirakyan Kantorovich type linear positive operators. Using Korovkin's result, approximation properties are investigated. First, we evaluate moments and direct results. By choosing p and q, the convergence rate have been estimated for better approximation. For the particular case ${\alpha}=0$, ${\beta}=0$ we obtain results for (p, q)-$Sz{\acute{a}}sz$-Mirakyan Kantorovich type operators.

• Korean Journal of Acupuncture
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• v.17 no.1
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• pp.141-156
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• 2000

Prognosis in oriental medicine gathers information by four examination methods. It provides important information to understand the degree of deficiency - excessiveness of a patient to treat properly. To generalize the degree of deficiency - excessiveness can be found by seeing the patient's muscle response and pain perception to the palpitations.The theoretical basis to generalize deficiency - excessiveness, oriental and western medical understanding of pain perception and the elasticity of muscle were discussed.The usual symptoms for the excessiveness could include Pain (dislikeness to the palpitation), Stiffness of nape and limbs, Contracture of the limbs, Clonic convulsion and Fast pain. The symptoms for the deficiency could include Pain (likeness to the palpitation, Gastrocnemius muscle spasm, Flaccid paralysis of limbs and Slow pain. More theoretical bases for generalization of deficiency - excessiveness are needed along with the simplifying the complex clinical symptoms. In this way, we can discuss about deficiency - excessiveness with the regard to western medicine to help its generalization.

• Computers and Concrete
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• v.11 no.4
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• pp.337-350
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• 2013

The sensitivity of compressive strength of no-slump concrete to its ingredient materials and proportions, necessitate the use of robust models to guarantee both estimation and generalization features. It was known that the problem of compressive strength prediction owes high degree of complexity and uncertainty due to the variable nature of materials, workmanship quality, etc. Moreover, using the chemical and mineral additives, superimposes the problem's complexity. Traditionally this property of concrete is predicted by conventional linear or nonlinear regression models. In general, these models comprise lower accuracy and in most cases they fail to meet the extrapolation accuracy and generalization requirements. Recently, artificial intelligence-based robust systems have been successfully implemented in this area. In this regard, this paper aims to investigate the use of optimized support vector machine (SVM) to predict the compressive strength of no-slump concrete and compare with optimized neural network (ANN). The results showed that after optimization process, both models are applicable for prediction purposes with similar high-qualities of estimation and generalization norms; however, it was indicated that optimization and modeling with SVM is very rapid than ANN models.

• Communications of the Korean Mathematical Society
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• v.15 no.1
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• pp.103-109
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• 2000

In this paper, we present the proof of generalized Fenchel's theorem by estimating the Gauss-Kronecker curvature of the tube of a nondegenerate closed curve in R$^{n}$ .

• Journal of the Korean Mathematical Society
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• v.51 no.5
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• pp.1029-1044
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• 2014

In this paper we consider a generalization of the Mayer-Erd$\ddot{o}$s phenomenon discussed in [12] to linear forms in a larger number of variables.

• Journal of Educational Research in Mathematics
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• v.17 no.2
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• pp.163-177
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• 2007

Studies on mathematically gifted students have been conducted following Krutetskii. There still exists a necessity for a more detailed research on how these students' mathematical competence is actually displayed during the problem solving process. In this study, it was attempted to analyse the algebraic thinking process in the problem solving a peg puzzle in which 4 mathematically gifted students, who belong to the upper 0.01% group in their grade of elementary school in Korea. They solved and generalized the straight line peg puzzle. Mathematically gifted elementary school students had the tendency to find a general structure using generic examples rather than find inductive rules. They did not have difficulty in expressing their thoughts in letter expressions and in expressing their answers in written language; and though they could estimate general patterns while performing generalization of two factors, it was revealed that not all of them can solve the general formula of two factors. In addition, in the process of discovering a general pattern, it was confirmed that they prefer using diagrams to manipulating concrete objects or using tables. But as to whether or not they verify their generalization results using generalized concrete cases, individual difference was found. From this fact it was confirmed that repeated experiments, on the relationship between a child's generalization ability and his/her behavioral pattern that verifies his/her generalization result through application to a concrete case, are necessary.

• Kyungpook Mathematical Journal
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• v.27 no.2
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• pp.153-161
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• 1987

In this paper we present several nonlinear generalization of Gronwall-Bellman-Reid inequalities. These results provided genuine upper estimates.

• Journal of the Korean Association of Geographic Information Studies
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• v.6 no.3
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• pp.73-82
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• 2003

This paper proposes a work procedure for generalizing large-scale digital maps ver. 2.0(1/5,000) into a small-scale digital map(1/25,000). Unlike a existent digital map, the digital map ver. 2.0 has a variety of attribute data as well as graphic data. To perform an efficient map generalization with these structural properties, we establish a work procedure as follow; firstly, delete layers which don't exist in small-scale digital map's feature code, and secondly, generalize features which have been classified into 8 layers, and finally merge 8 layers which have been generalized into 1 layer. Therefore, we expect that a work procedure which is proposed in this paper will play a fundamental role in automated generalization system and will contribute to small-scale digital mapping and thematic mapping.