• The Pure and Applied Mathematics
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• v.27 no.2
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• pp.97-108
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• 2020

In this paper, we prove common fixed point theorems for two mappings by using simulation function on fuzzy metric spaces. We also deduce some consequences in modular metric spaces.

• Nonlinear Functional Analysis and Applications
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• v.24 no.4
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• pp.651-664
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• 2019

It is our purpose to continue the study of approximation of fixed point of multi- valued nonlinear mappings in a modular function space which is initiated by Khan and Abbas [14]. Some convergence results were established for three multi-valued ρ-quasi-nonexpansive mappings using a three step iterative scheme.

• Journal of the Korea Furniture Society
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• v.14 no.1
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• pp.79-89
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• 2003

Today's aesthetics and design orientations seem to be: flexibility, mobility, multi-functionality required front user's new needs. Our spaces have changed increasingly contain the needs of constant mobility and ability to adapt to a wide variety of situations. For efficient use, a modular system in furnishing can manage the spaces with components which are easy to assemble and disassemble. The function comes from spacial technological structure that is an 'union' formed by units to joint each other. The repeated module is tailored to unchanging environmental conditions. On the other hand, the structure defined by change reacts flexibility to a dynamic environment. In decision-making, it is flexible and able to adapt. Their ability to be positioned freely anywhere in the room allows individual tasks to be carried out by different people, and their almost endless variety of uses create distinctive spaces for living.

• Journal of the Korea Furniture Society
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• v.28 no.2
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• pp.95-102
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• 2017

In the process of changing from modern society to contemporary society, innovation of various fields is considered as important with rapid social change and one of the consequences of this changing movement is the innovation of living space. In this paper, based on this motive, we will study a modular shelf that can create a private space, and serve function like role of partition that delimits space in the one-room. Modular shelves can provide openness, closeness, and autonomy to individual spaces in a one-room space without space divisions. In a small one-room for residential purpose, it is able to function effectively to show the atmosphere of personal space and display small items reflecting personal taste in addition to the function of storing books and items. In addition, a modular shelves considering disassembly and movement are proposed in order to take advantage of one-room that can make different space configurations as needed. It is aim to suggest a basic modular shelves structure that used traditional Chinese wood-joints during which techniques was sturdy while reducing the use of timber. Futhermore, the purpose of this study is to study the design of shelf furniture that can add individuality.

• Bulletin of the Korean Mathematical Society
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• v.60 no.1
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• pp.237-255
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• 2023

In this article, we find bases for the spaces of modular forms $M_2({\Gamma}_0(88),\;({\frac{d}{\cdot}}))$ for d = 1, 8, 44 and 88. We then derive formulas for the number of representations of a positive integer by the diagonal quaternary quadratic forms with coefficients 1, 2, 11 and 22.

• Journal of the Korean Mathematical Society
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• v.35 no.4
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• pp.903-931
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• 1998

Since the modular curves X(N) = $\Gamma$(N)\(equation omitted)＊ (N =1,2,3) have genus 0, we have field isomorphisms K(X(l))(equation omitted)C(J), K(X(2))(equation omitted)(λ) and K(X(3))(equation omitted)( $j_3$) where J, λ are the classical modular functions of level 1 and 2, and $j_3$ can be represented as the quotient of reduced Eisenstein series. When N = 4, we see from the genus formula that the curve X(4) is of genus 0 too. Thus the field K(X(4)) is a rational function field over C. We find such a field generator $j_4$(z) = x(z)/y(z) (x(z) = $\theta$$_3$((equation omitted)), y(z) = $\theta$$_4$((equation omitted)) Jacobi theta functions). We also investigate the structures of the spaces $M_{k}$($\Gamma$(4)), $S_{k}$($\Gamma$(4)), M(equation omitted)((equation omitted)(4)) and S(equation omitted)((equation omitted)(4)) in terms of x(z) and y(z). As its application, we apply the above results to quadratic forms.rms.

• Kyungpook Mathematical Journal
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• v.63 no.4
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• pp.647-707
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• 2023

In this article, we discuss and survey the recent progress towards the Schottky problem, and make some comments on the relations between the André-Oort conjecture, Okounkov convex bodies, Coleman's conjecture, stable modular forms, Siegel-Jacobi spaces, stable Jacobi forms and the Schottky problem.

• Proceedings of the Korean Institute of Interior Design Conference
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• 2005.05a
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• pp.237-240
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• 2005

Nowadays living space has been small-sized due to a rise in the standard of living, change of recognition on the increase of housing for the singles, and frequent movements of duty place, etc. and the furnitures naturally evolved assembly and multi-functionality. However, it retuned with an economic charge in the consumers and lost the uniformity in a small-sized living space as well since the furniture depended on the each miscellaneous household goods or products and came to be used. Hereupon it was demanded the system where the various furnitures are to fit to here. This study aimed at this point firstly examined a new environment change which it follows till a small living space is demanded through lots of literature, after understanding the concept of the system furniture, I classified expressive types of system furniture in modern environment and analyzed the design quality and characteristics in it by selecting well-known furniture magazines inside and outside of the country and extracting and analyzing system furniture images which are recorded in advertisements or articles. The objective of this study is to present MMC(Multi Modular Coordination, a system furniture design based on this analysis that inquiring the problems with function, structure, assembly which other existing system furnitures are facing enabled to apply a basic data in unit-module planning and by sampling embodiment modeling by uses.