• 한국수학사학회지
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• 제16권4호
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• pp.59-68
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• 2003

Mathematics and arts are reflection of the spirit of the ages, since they have human inner parallel vision. Therefore, in ancient Greek ages, the artists' cannon was actually geometric ratio, golden section. However, in middle ages, the Euclidean Geometry was disappeared according to the Monastic Mathematics, then the art was divided two categories, one was holy Christian arts and the other was secular arts. In this research, we take notice of Renaissance Painting and Perspective Geometry, since Perspective Geometry was influenced by Renaissance notorious painter, Massccio, Leonardo and Raphael, etc. They drew and painted works by mathematical principles, at last, reformed the paradigm of arts. If we can say Euclidean Geometry is tactile geometry, the Perspective Geometry can be called by visual geometry.

• Journal of applied mathematics & informatics
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• 제26권1_2호
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• pp.365-374
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• 2008

We study a mathematical modeling for development of film negative and concentrate the bulk reaction problem. We prove nonnegativeness of developer, coupler and dye function in two dimensional case. Also we prove stability of our numerical scheme. Finally, we discuss numerical example which have specified constants.

• Journal of applied mathematics & informatics
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• 제40권5_6호
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• pp.843-856
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• 2022

In this article, we analyze the first order delay dynamic equations with several nonmonotone arguments. Also, we present new oscillation conditions involving lim sup and lim inf for the solutions of these equations. Finally, we give an example to demonstrate the results.

• Kyungpook Mathematical Journal
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• 제52권2호
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• pp.137-147
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• 2012

In this paper we introduce some new double sequence spaces via ideal convergence and an Orlicz function in $n$-normed spaces and examine some properties of the resulting spaces.

• Kyungpook Mathematical Journal
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• 제45권2호
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• pp.221-230
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• 2005

In this paper, we define a multifunction $F:X{\rightarrow}Y$ to be upper (lower) Z -supercontinuous if $F^{+}(V)(F^{-}(V))$ is z-open in X for every open set V of Y. We obtain some characterizations and several properties concerning upper (lower) Z-supercontinuous multifunctions.

• 대한수학회논문집
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• 제25권2호
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• pp.193-206
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• 2010

In this paper we define and study the difference Orlicz space of entire sequence of fuzzy numbers. We study their different properties and statistical convergence in these spaces.

• Journal of applied mathematics & informatics
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• 제29권5_6호
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• pp.1143-1155
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• 2011

In this paper, we shall establish a new theorem on the existence and uniqueness of the solution to a backward doubly stochastic differential equations under a weaker condition than the Lipschitz coefficient. We also show a comparison theorem for this kind of equations.

• 호남수학학술지
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• 제40권2호
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• pp.293-304
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• 2018

In this paper, we study ${\varphi}$-recurrent almost cosymplectic (${\kappa},{\mu}$)-space and prove that it is an ${\eta}$-Einstein manifold with constant coefficients. Next, we show that a three-dimensional locally ${\varphi}$-recurrent almost cosymplectic (${\kappa},{\mu}$)-space is the space of constant curvature.

• 한국수학교육학회지시리즈E:수학교육논문집
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• 제26권2호
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• pp.177-203
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• 2012

중등교육과정에서 수학적 내용사이의 연결과 수학과 다른 학문 사이의 연결의 중요성이 강조되고 있다. 이에 본 연구에서는 미술과 수학이 모두 시 공간적 능력의 활용을 포함하는 학문이라는데 주목하여 그래프와 부품식 영역의 지도에서 활용 가능한 소집단 그림그리기 활동을 실시하였다. 일반계 고등학교 1학년 학생을 대상으로 실시한 소집단 그림그리기 활동과정에서 나타나는 학생들의 수학에 대한 흥미변화를 살펴보고자 하였으며, 학생의 전략적 사고의 촉진가능성을 살펴보고 그 구체적인 특정을 분석하는데 목적을 두었다. 연구 결과, 그래프를 활용한 소집단 그림그리기 활동은 학생들의 수학에 대한 흥미변화에 긍정적인 영향을 미쳤을 뿐만 아니라 활동과정에서 다양한 전략적 사고가 나타남으로써 이러한 활동이 고등사고활동인 전략적 사고를 촉진시키는데 효과적임을 알 수 있었다.

• International Journal of Internet, Broadcasting and Communication
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• 제15권2호
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• pp.175-180
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• 2023

Fractal geometry, a relatively new branch of mathematics, was first introduced by Benoit Mandelbrot in 1975. Since then, its applications have expanded into various fields of natural science. In fact, it has been recognized as one of the three significant scientific discoveries of the mid-20th century, along with the Dissipative System and Chaos Theory. With the help of fractal geometry, designers can create intricate and expressive artistic patterns, using the concept of self-similarity found in nature. The impact of fractal geometry on the digital art world is significant and its exploration could lead to new avenues for creativity and expression. This paper aims to explore and analyze the development and applications of fractal geometry in digital art design. It also aims to showcase the benefits of applying fractal geometry in art creation and paves the way for future research on sacred geometry.