• Korean Institute of Interior Design Journal
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• no.38
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• pp.75-82
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• 2003

The symmetry is general geometric design principal in contemporary architecture shape. But, Symmetry sometimes easily causes unreasonable design. In some reason, two of symmetric units in the apartment, one side of unit have very reasonable plan and arrangement but opposite side unit nay not. For example, if the kitchen on right unit had right-handed arrangement, the symmetrical other would have left-handed kitchen arrangement. In addition to this, if each house unit has the same plan but different direction, each unit has different usage or affects the residents' life pattern. Nevertheless, Architects use only one unit plan to design public housing development by using symmetric operator (mirror, proper rotation, inversion center) at their option. This study suggests that using group theory and mathematical matrix rather than designer's discretion can solve this symmetry problem clearly. And, this study analysis the merits and demerits between each symmetrical pair of unit plan shapes by using mathematical point group theory and matrix.

• Kyungpook Mathematical Journal
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• v.53 no.1
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• pp.143-148
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• 2013

The theory of generalized Bessel functions is reformulated within the framework of an operational formalism using the multiplier representation of the Lie group $T_3$ as suggested by Miller. This point of view provides more efficient tools which allow the derivation of generating functions of generalized Bessel functions. A few special cases of interest are also discussed.

• Bulletin of the Korean Mathematical Society
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• v.54 no.3
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• pp.737-746
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• 2017

In this paper, we discuss the existence theorem for multiple vortex solutions in the non-Abelian Chern-Simons-Higgs field theory developed by Aharony, Bergman, Jafferis, and Maldacena, on a doubly periodic domain. The governing equations are of the BPS type and derived by Auzzi and Kumar in the mass-deformed framework labeled by a continuous parameter. Our method is based on fixed point method.

• East Asian mathematical journal
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• v.39 no.3
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• pp.349-354
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• 2023

The motivation in this paper comes from the recent results about Bell inequalities and topological insulators from group theory. Symmetries which are interested in group theory could be mainly used to find material structures. In this point of views, we study group extending by adding one relator which is easily called an equation. So a relative group extension by a adding relator is aspherical if the natural injection is one-to-one and the group ring has no zero divisor. One of concepts of asphericity means that a new group by a adding relator is well extended. Also, we consider that several equations and relative presentations over torsion-free groups are related to zero divisors.

• Journal of applied mathematics & informatics
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• v.14 no.1_2
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• pp.289-303
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• 2004

The non-rigid molecule group theory (NRG) in which the dynamical symmetry operations are defined as physical operations is a new field of chemistry. Smeyers in a series of papers applied this notion to determine the character table of restricted NRG of some molecules. In this work, a simple method is described, by means of which it is possible to calculate character tables for the symmetry group of molecules consisting of a number of NH3 groups attached to a rigid framework. We study the full non-rigid group (f-NRG) of tetraammineplatinum(II) with two separate symmetry groups C2v and C4v. We prove that they are groups of order 216 and 5184 with 27 and 45 conjugacy classes, respectively. Also, we will compute the character tables of these groups.

• Honam Mathematical Journal
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• v.10 no.1
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• pp.11-21
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• 1988

• Journal of the Chungcheong Mathematical Society
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• v.21 no.4
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• pp.447-454
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• 2008

In this short note, we will point out and modify some logical errors in literatures about the theory of cellular automata.

• Honam Mathematical Journal
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• v.11 no.1
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• pp.107-111
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• 1989

• Korean Journal of Community Nutrition
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• v.21 no.6
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• pp.497-508
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• 2016

Objectives: The purpose of this study was to evaluate the effect of nutrition education using materials based on social cognitive theory. Education topics focused on improving health-related and dietary self-awareness and behavior capability in adolescents. Methods: Participants were recruited from a middle school for girls; 67 students (educated group, n=34 and control group, n=33) participated. The education group received 12 lessons in club activity class. Self-administered surveys were conducted for each group before and after the nutrition education program. The questionnaires consisted of variables such as self-efficacy, outcome expectation, outcome expectancy, knowledge, and dietary practices based on the social cognitive theory. Education satisfaction was evaluated using a five-point Likert scale for two sections: a) teaching and learning and b) education results. The data were analyzed using a t-test and Chi Square-test (significance level: p < 0.05). Results: In the education group, post-education, there were significant differences in self-efficacy (p < 0.05), knowledge (p < 0.01), and dietary practices (p < 0.05), whereas outcome expectation and expectancy did not show any significant differences. None of the variables showed any significant differences in the control group. Educational satisfaction scores were $4.38{\pm}0.12$ (teaching and learning) and $4.14{\pm}0.15$ (education results). Conclusions: This study showed that improving adolescent's awareness and behavior capability has a positive effect on their dietary practices. Moreover, this study suggested that a theory-based determinant should be considered to improve dietary behavior among adolescents.

• Journal of the Korean Mathematical Society
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• v.38 no.6
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• pp.1107-1116
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• 2001

In this paper, we study the rationality of the Reidemeister zeta function of an endomorphism of a group extension. As an application, we give sufficient conditions for the rationality of the Reidemeister and the Nielsen zeta functions of selfmaps on an exponential solvmanifold or an infra-nilmanifold or the coset space of a compact connected Lie group by a finite subgroup.