• Journal of the Korean Mathematical Society
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• v.52 no.2
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• pp.225-237
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• 2015

In this article, we show that many of the genera that Giulietti and Fanali obtained from subfields of the GK curve can be obtained by using similar techniques used by Garcia, Stichtenoth and Xing. In the meantime, we obtain some new genera from the subfields of GK and generalized GK function fields.

• Bulletin of the Korean Mathematical Society
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• v.47 no.2
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• pp.423-432
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• 2010

We describe the asymptotic behavior of functions of the Royden p-algebra in terms of p-extremal length. We also prove that each bounded $\cal{A}$-harmonic function with finite energy on a complete Riemannian manifold is uniquely determined by the behavior of the function along p-almost every curve.

• Proceedings of the Korea Society of Mathematical Education Conference
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• 2010.04a
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• pp.249-259
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• 2010

This report is intended to document beliefs that engineers working as senior high school teachers have in Mexico. Documents come from the analysis of answers provided for two tasks contained in a questionnaire: one of them is marking statements as true or false in relation to the derivative function; the second one is about solving different problems: calculation of derivative of piecewise functions and the calculation of maximum and minimum of a polynomial function. Results show the strengths, quasi-logical relations and grouping which are verified in their system of beliefs and knowledge.

• The Mathematical Education
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• v.41 no.1
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• pp.101-108
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• 2002

The purpose of this study is to estimate teachers' knowledge of mathematics via the concept of function. For the purpose, a survey was done to measure their knowledge of mathematics. The result obtained from the survey was as follows With respect to the knowledge on concept of friction, they understood the function as ordered pairs and graph rather than as relation and expression. This study reached the following conclusions from the result : They have the more static cognition than the dynamic one on the concept of unction.

• The Pure and Applied Mathematics
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• v.27 no.1
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• pp.1-11
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• 2020

In this paper we determine conditions which a function a(t) must satisfy to insure that the function a'(t) is an element of the separable Hilbert space L²_a,b[0, T]. We then proceed to illustrate our results with several pertinent examples and counter-examples.

• The Pure and Applied Mathematics
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• v.14 no.1 s.35
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• pp.23-35
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• 2007

We investigate the modified Hyers-Ulam-Rassias stability for the following mixed type functional equation, i.e, cubic or quadratic type functional equation : 9f(x+y)-9f(x-y)+f(6y)=3f(x+3y)-3f(x-3y)+9f(2y).

• Proceedings of the Korean Society of Applied Entomolohy Conference
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• 2002.11a
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• pp.63-63
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• 2002

• The Pure and Applied Mathematics
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• v.20 no.2
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• pp.79-87
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• 2013

In this paper we study the infniteness of Hilbert 2-class field towers of inert imaginary quadratic function fields over $\mathbb{F}_q(T)$, where $q$ is a power of an odd prime number.

• Korean Journal of Mathematics
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• v.26 no.4
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• pp.741-746
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• 2018

We study the Ihara zeta function of the dumbbell graph $D_{1,1,n}$ of type (1, 1, n) and $D_{1,2,n}$ of type (1, 2, n). Explicit formulas of the zeta functions of the graphs, their radius of convergence, and the connection with the number of closed cycles are given.

• Korean Journal of Mathematics
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• v.29 no.3
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• pp.593-602
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• 2021

In this paper, the concept of s-convex function in the third sense is given. Then fundamental characterizations and some basic algebraic properties of s-convex function in the third sense are presented. Also, the relations between the third sense s-convex functions according to the different values of s are examined.