• Bulletin of the Korean Mathematical Society
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• v.50 no.3
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• pp.761-766
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• 2013

We derive several modular equations and present their proofs based on concise algebraic computations. In addition, we establish explicit relations and formulas for some parameterizations for the theta functions ${\varphi}$ and ${\psi}$ and show some applications of the modular equations to evaluations of the cubic continued fraction and the theta function ${\psi}$.

• Communications of Mathematical Education
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• v.19 no.4 s.24
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• pp.587-597
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• 2005

Mathematics education for social science majors at the college level could be a totally different subject from mathematics education for mathematics majors. We discuss goals, curriculum and effective teaching of mathematics for social science majors with a focus on business, management and economics at the college level.

• Journal of the Korean Mathematical Society
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• v.29 no.1
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• pp.1-8
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• 1992

• Journal of the Korean Mathematical Society
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• v.41 no.6
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• pp.1023-1034
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• 2004

In this paper we establish limsup and liminf theorems for the increments of partial sum processes of a dependent stationary Gaussian sequence.

• Kyungpook Mathematical Journal
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• v.22 no.1
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• pp.141-148
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• 1982

• Journal of the Korean Society for Industrial and Applied Mathematics
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• v.9 no.2
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• pp.1-15
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• 2005

In this article, a generalisation of Sard's inequality for Appell polynomials is obtained. Estimates for the remainder are also provided.

• Journal of applied mathematics & informatics
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• v.20 no.1_2
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• pp.279-292
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• 2006

A reverse of Bessel's inequality in 2-inner product spaces and companions of $Gr\ddot{u}ss$ inequality with applications for determinantal integral inequalities are given.

• International Journal of Control, Automation, and Systems
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• v.3 no.2
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• pp.244-251
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• 2005

In this paper, we study the problem of stabilizing a general nonlinear control system by means of gradient descent control method which is a dynamic feedback control law. In this method, the general nonlinear control system can be considered as an affine nonlinear control systems. Then by using Sontag's formula we investigate the stability (asymptotic) of the general nonlinear control system.

• Journal of The Korean Association For Science Education
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• v.32 no.8
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• pp.1318-1332
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• 2012

This paper takes another approach in assessing students' perception of mathematics. Instead of asking for verbal description of the students' perception of mathematics, we asked the respondents who were all college students to draw their perception of mathematics. This relatively new approach enabled students to take a second look of how they perceived math and, at the same time, explored students' creativity and provided a less austere appearance to mathematics which was taken usually in a more formal and severe manner. This approach of assessing students' perception of mathematics generated new information that could not be normally gleaned from other approaches like Likert Scale. Some drawings of mathematics of the respondents reinforced their math affect towards mathematics. For those who hated math, their drawings revealed so the same is true with those who loved mathematics. Examining the visual representations of mathematics and looking for commonalities, the researcher found a number of interesting themes that may shed some light to educators' understanding of students' math affect.

• Kyungpook Mathematical Journal
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• v.64 no.1
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• pp.47-55
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• 2024

This paper introduces two new subclasses of analytical functions with negative coefficients and derives coefficient estimates for these novel subclasses. Further, inclusion relations and necessary and sufficient conditions for the Poisson distribution series to belong to these subclasses are established.