• Journal for History of Mathematics
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• v.26 no.2_3
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• pp.177-195
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• 2013

This study is the analysis of the concepts and the characteristics of the mathematics section of the College Scholastic Ability Test. The study starts with division of the history of the College Scholastic Ability Test into four periods. These are Introduction Period(school year 1994-1996), Adjustment Period(school year 1997-2004), Development Period(school year 2005-2011) and Conversion Period(up to present since school year 2012). The periodical division of the Mathematics section is considered as identical with that of the College Scholastic Ability Test. So we investigate the characteristics of the Mathematics section through the periodical classification. This study also proposes some tasks for the future Mathematics section of the College Scholastic Ability Test.

• Journal of applied mathematics & informatics
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• v.7 no.1
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• pp.279-287
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• 2000

A simple estimate of Feynman path-integration with general potential via its new definition is given and found to be very useful. This new method will help find the value of some Feynman path-integrals as precise as one wants.

• Kyungpook Mathematical Journal
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• v.18 no.2
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• pp.233-237
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• 1978

• Journal of the Korean Mathematical Society
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• v.37 no.1
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• pp.125-137
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• 2000

In the present paper, the classical results of the stability of isometries obtained by some authors will be generalized; More precisely, the stability of isometries on restricted (unbounded or bounded) domains will be investigated.

• Kyungpook Mathematical Journal
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• v.55 no.2
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• pp.473-484
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• 2015

Archimedes determined the center of gravity of a parabolic section as follows. For a parabolic section between a parabola and any chord AB on the parabola, let us denote by P the point on the parabola where the tangent is parallel to AB and by V the point where the line through P parallel to the axis of the parabola meets the chord AB. Then the center G of gravity of the section lies on PV called the axis of the parabolic section with $PG=\frac{3}{5}PV$. In this paper, we study strictly locally convex plane curves satisfying the above center of gravity properties. As a result, we prove that among strictly locally convex plane curves, those properties characterize parabolas.

• Journal of the Korean School Mathematics Society
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• v.18 no.2
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• pp.169-186
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• 2015

According to changes of college admission policies and the first application for 2009 revised mathematics curriculum, we should redefine characterization of mathematics section in 2017 College Scholastic Ability Test(CSAT) and prepare a plan on details of making questions related to it. Specially, we need to reflect the voices of the school site in order to determine the method of making CSAT questions which is consistent with the intent of it and contributes to the normal operation of high school curriculum. In this study, we polled out 312 schools among 2,338 high schools nationwide and math teachers of the schools were been chosen were surveyed. The sampling method used a proportionate stratified sampling by the department of education. Analyzing the results of the survey, We redefined characterizations and roles of mathematics section in 2017 CSAT and suggested the details including questions distribution according to optional object of 2017 CSAT mathematics section.

• Journal for History of Mathematics
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• v.19 no.1
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• pp.43-54
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• 2006

The purpose of this paper, followed by 'Nature$\cdot$Human, and Golden Section I ', is to study aesthetic consciousness, mentality model and body proportion of human, and the golden section applied to architecture and hand axe of stone age. In particular, handaxes of one million years ago have shown that they had critical competency to the basis of art and mathematics in the future. Furthermore, without pen, paper and ruler, the existence of mentality model made fundamental conversion of mathematics possible. Different sizes of handaxes were made by maintaining the equal golden section. This was the first example in relation to the principle mentioned in 'Stoicheia' by Euclid which was published hundred thousands of years later.

• Journal of the Korean Society for Industrial and Applied Mathematics
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• v.28 no.1
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• pp.22-32
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• 2024

In this paper we present a method of conic section approximation by hexic Bézier curves. The hexic Bézier approximants are G³ Hermite interpolations of conic sections. We show that there exists at least one hexic Bézier approximant for each weight of the conic section The hexic Bézier approximant depends one parameter and it can be obtained by solving a quartic polynomial, which is solvable algebraically. We present the explicit upper bound of the Hausdorff distance between the conic section and the hexic Bézier approximant. We also prove that our approximation method has the maximal order of approximation. The numerical examples for conic section approximation by hexic Bézier curves are given and illustrate our assertions.

• Journal for History of Mathematics
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• v.22 no.1
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• pp.111-124
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• 2009

In this paper we check over some problems in College Scholastic Ability Test(CSAT) Mathematics section and propose some methods to improve the CSAT Mathematics section. CSAT has been changed several times with the change of the school curriculum. A Mathematics amended curriculum will apply in 2009 and we have to reorganize the system of CSAT. We investigate the changes in school curriculum and system of CSAT. Also we make a comparative study of the range of possible questions of CSAT with those of SAT and foreign national entrance exam for college.

• Journal of applied mathematics & informatics
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• v.41 no.5
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• pp.1071-1084
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• 2023

We consider inviscid, incompressible homogeneous shear flows of variable cross section known as extended Rayleigh problem. For this extended Rayleigh problem, we derived instability region which intersect with semi-circle instability region under some condition. Also we derived condition for stability, upper bound for amplification factor and growth rate of an unstable mode.