• East Asian mathematical journal
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• v.24 no.5
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• pp.477-496
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• 2008

In this paper, we consider the relations between mathematics and music, for examples rational numbers with musical scales, irrational numbers with musical scales, the golden ratio with musical compositions, the Fourier analysis with overtones. Our aim in this paper is to enhance the students' mathematical abilities by using musical materials.

• East Asian mathematical journal
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• v.24 no.5
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• pp.497-507
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• 2008

Two proving methods are investigated. One method uses we mathematical induction and the other uses the progression of difference. Two methods are analysed and compared. As a result, we get a generalization of these series.

• East Asian mathematical journal
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• v.24 no.5
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• pp.509-519
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• 2008

In the article, we study on researching activity of the patterns through paper folding. A set of rules and patterns are found in this study based on folding paper of triangle and rectangle.

• East Asian mathematical journal
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• v.23 no.1
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• pp.59-73
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• 2007

A new reverse of the generalised triangle inequality that complements the classical results of Diaz and Metcalf is obtained. Applications for inner product spaces and for complex numbers are provided.

• East Asian mathematical journal
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• v.32 no.5
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• pp.767-774
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• 2016

Manturov inroduced the parity bracket polynomial by using a parity of virtual knots, which is an extension of Jones-Kauffman polynomial. We extend Manturov's result to virtual links, so that we obtain the parity bracket polynomial for virtual links and give some examples.

• East Asian mathematical journal
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• v.17 no.2
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• pp.217-224
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• 2001

In this paper, we introduce the notion of some modification of given convergence structure and product convergence. Also, we find some properties which hold between the modification associated with a product of convergence structures and the product of modifications associated with the factor convergence structures.

• East Asian mathematical journal
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• v.17 no.2
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• pp.239-251
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• 2001

We construct a family of 3-manifolds by pairwise identifications of faces in the boundary of certain polyhedral3-balls and prove that all these manifolds are cyclic branched coverings of the 3-sphere over the double link.

• East Asian mathematical journal
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• v.15 no.1
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• pp.1-9
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• 1999

• East Asian mathematical journal
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• v.17 no.2
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• pp.185-189
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• 2001

In this paper we study on $Fr\'{e}chet$-Urysohn expansions of topological spaces, countable $Fr\'{e}chet$-Urysohn spaces and Hausdorff $Fr\'{e}chet$-Urysohn spaces.

• East Asian mathematical journal
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• v.31 no.3
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• pp.345-349
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• 2015

In this paper, we consider a fractional robust optimization problem (FP) and give necessary optimality theorems for (FP). Establishing a nonfractional optimization problem (NFP) equivalent to (FP), we formulate a Mond-Weir type dual problem for (FP) and prove duality theorems for (FP).