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REFERENCE LINKING PLATFORM OF KOREA S&T JOURNALS
> Journal Vol & Issue
Journal for History of Mathematics
Journal Basic Information
Journal DOI :
The Korean Society for History of Mathematics
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Volume & Issues
Volume 17, Issue 4 - Nov 2004
Volume 17, Issue 3 - Aug 2004
Volume 17, Issue 2 - May 2004
Volume 17, Issue 1 - Feb 2004
Selecting the target year
Thoughts System Based on Infinity
Journal for History of Mathematics, volume 17, issue 2, 2004, Pages 1~8
In this paper we try to research in the influences which the concepts of infinity have made to our life, and how they have led the trend of the times through studying on the process of changes of concepts of infinity. Also we intend to make a research in how the shift of paradigm on the view of life have been changing under the circumstances in which the concepts of infinity have been accepted as an actual meaning.
Note on the Development of Mathematical Philosophy
Journal for History of Mathematics, volume 17, issue 2, 2004, Pages 9~14
The present paper investigate the trace to the course of its development of Mathematical philosophy. Of the main questions which naturally suggest themselves, it will be considered by the changing process of Mathematical philosophy. The explicit sources for a history of Mathematical philosophy.,or more especially, for the relation of mathematics to philosophy, are relatively few. There is, moreover, much disagreement and dispute on the extent, influence and relation of mathematics to the philosophy of individual thinkers. A passing emphasis must be laid on the mutual influence of mathematics and philosophy on each other in the course of their development.
Historical Study on Density Smoothing in Nonparametric Statistics
Journal for History of Mathematics, volume 17, issue 2, 2004, Pages 15~20
We investigate the unbiasedness and consistency as the statistical properties of density estimators. We show histogram, kernel density estimation, and local adaptive smoothing as density smoothing in this paper. Also, the early and recent research on nonparametric density estimation is described and discussed.
Mathematical Foundations of AHP and Practice for Purposes of Mathematical Teaching
Journal for History of Mathematics, volume 17, issue 2, 2004, Pages 21~32
AHP is utilized in various fields since its mathematical theory is simple and it can be applied practically and easily. In this paper we study the mathematical foundations of the AHP. And we discuss that the AHP practices purpose of mathematical teaching. Also, we propose an alternative plan for teaching-learning of mathematics based on the discussion.
On the Mathematics Curriculum of Korea and Outlook on the Mathematics Education
Journal for History of Mathematics, volume 17, issue 2, 2004, Pages 33~52
The paper is analyzed the mathematics curriculum of Korea and the philosophy of the mathematics education in the history of mathematics education. We have found that the various philosophy of Western mathematics education have led us to various views of the mathematics curriculum of Korea. This change of the mathematics curriculum in Korea have important implications to the didactics of mathematics. This study tried to find out the direction of outlook on the mathematics education in the future.
A Meaning of 7-th Curriculum in High School Mathematics and Improvement Direction in Relation to Entrance Examinations
Journal for History of Mathematics, volume 17, issue 2, 2004, Pages 53~60
This paper is aimed at studying a meaning of 7-th curriculum in high school mathematics and improvement direction in relation to entrance examinations.
A Didactic Transposition and Enlargement of the Ceva Theorem
Journal for History of Mathematics, volume 17, issue 2, 2004, Pages 61~72
In this article we study on didactic transposition and enlargement of the Ceva theorem(if three cevians AX, BY, CZ, one through each vertex of a triangle ABC, are concurrent, then
= 1). We suggest inverse of the Ceva theorem, some different forms of the Ceva theorem(oriented segment form, trigonometric form, vector form), enlarged the Ceva theorem of polygon and tetrahedron, and in detail propose these proofs.
De Morgan Frames
Journal for History of Mathematics, volume 17, issue 2, 2004, Pages 73~84
Stone introduced extremally disconnected spaces as the image of complete Boolean algebras under his famous duality between Bool and ZComp and they turn out to be projective objects in various categories of Hausdorff spaces and completely regular ones are exactly those X with Dedekind complete C(X, ). In the pointfree setting, extremally disconnected frame (= De Morgan frame) are those with De Morgan condition. In this paper, we investigate a historical aspect of De Morgan frame together with that of De Morgan.
A Hurst Exponent as the Measure for a Sinusoid Pattern Recognition
Journal for History of Mathematics, volume 17, issue 2, 2004, Pages 85~96
The Resealed range statistical analysis and Hurst exponent which are standard methods to test the chaotic model are used to examine sinusoid pattern. We notice that the Hurst exponent can be used as a measure to examine the time series data that show semi-cyclic trend with noise.
Derivations of Free Joins of Algebras
Jae-young Han ; Sook-Ja Nam ; Yeon-hee Kim ;
Journal for History of Mathematics, volume 17, issue 2, 2004, Pages 97~103
In this paper, we will prove that a free join algebra and a universal derivation module of its subalgebras have a universal derivation module induced by its subalgebras.