• Journal for History of Mathematics
• /
• v.19 no.2
• /
• pp.59-76
• /
• 2006

This research focuses on the relationship between mathematics and visual art from a perspective of chaos theory which emerged under the influence of post-modernism. Culture and history, which transform dynamically with the passing of time, are models of complexity. Especially, when the three periods of Medieval, Renaissance, and 17-18 Centuries are observed, the Renaissance period is phase transition phenomenon era between Medieval and 17-18 Centuries. The transition stage between the late Medieval times and the Renaissance; and the stage between the Renaissance and the Modern times are also phase transitions. These phenomena closely resemble similarity in Fractal theory, which includes the whole in a partial structure. Phase transition must be preceded by fluctuation. In addition to the pioneers' prominent act of creation in the fields of mathematics and visual an serving as drive behind change, other socio-cultural factors also served as motivations, influencing the transformation of the society through interdependency. In particular, this research focuses on the fact that scientific minds of artists in the Renaissance stimulated the birth of Perspective Geometry.

• Bulletin of the Korean Chemical Society
• /
• v.20 no.1
• /
• pp.35-41
• /
• 1999

Stability characteristics of hyperbolic reaction-diffusion equations with a reversible Brusselator model are investigated as an extension of the previous work. Intensive stability analysis is performed for three important parameters, Nrd, β and Dx, where Nrd is the reaction-diffusion number which is a measure of hyperbolicity, β is a measure of reversibility of autocatalytic reaction and Dx is a diffusion coefficient of intermediate X. Especially, the dependence on Nrd of stability exhibits some interesting features, such as hyperbolicity in the small Nrd region and parabolicity in the large Nrd region. The hyperbolic reaction-diffusion equations are solved numerically by a spectral method which is modified and adjusted to hyperbolic partial differential equations. The numerical method gives good accuracy and efficiency even in a stiff region in the case of small Nrd, and it can be extended to a two-dimensional system. Four types of solution, spatially homogeneous, spatially oscillatory, spatio-temporally oscillatory and chaotic can be obtained. Entropy productions for reaction are also calculated to get some crucial information related to the bifurcation of the system. At the bifurcation point, entropy production changes discontinuously and it shows that different structures of the system have different modes in the dissipative process required to maintain the structure of the system. But it appears that magnitude of entropy production in each structure give no important information related for states of system itself.

• English & American cultural studies
• /
• v.9 no.1
• /
• pp.91-112
• /
• 2009

Referring to John Irving's 2001 published fiction The Fourth Hand, the publisher commented, "It seems, at first, to be a comedy, perhaps a satire, almost certainly a sexual farce. Yet, in the end, it is as realistic and emotionally moving as any of Mr. Irving's previous novels." In his early six novels, John Irving shows the world suffused with grief and deception. But his novels finally turn out also as a comic and robust novel. The writer's success in achieving this thick description of the contradictory modern world is largely due to his development of the idea of the flawed hero. Despite loss, sadness and abandonment, Irving's heroes maintain classical heroic traits such as intelligence, tenderness, protectiveness, strength, bravery, sense of humor, independence, attractiveness. In this article, I tried to emphasize these graces potent in Irving's heroes as the most attractive and influential device for the writer's consistent popularity among the general public. The cinematization of his four fictions attest to audience's sympathy toward rewarding vulnerability and truthful exaggeration in the depiction of Irving's heroes. By taking full responsibility for their own fate despite having the flaws, Irving's protagonists still appeal to many readers as heroes resilient in a modern chaotic world without losing their graces.

• Journal of the Korean Mathematical Society
• /
• v.56 no.6
• /
• pp.1561-1597
• /
• 2019

In this paper we introduce the notions of topological entropy and topological pressure for non-autonomous iterated function systems (or NAIFSs for short) on countably infinite alphabets. NAIFSs differ from the usual (autonomous) iterated function systems, they are given [32] by a sequence of collections of continuous maps on a compact topological space, where maps are allowed to vary between iterations. Several basic properties of topological pressure and topological entropy of NAIFSs are provided. Especially, we generalize the classical Bowen's result to NAIFSs ensures that the topological entropy is concentrated on the set of nonwandering points. Then, we define the notion of specification property, under which, the NAIFSs have positive topological entropy and all points are entropy points. In particular, each NAIFS with the specification property is topologically chaotic. Additionally, the ${\ast}$-expansive property for NAIFSs is introduced. We will prove that the topological pressure of any continuous potential can be computed as a limit at a definite size scale whenever the NAIFS satisfies the ${\ast}$-expansive property. Finally, we study the NAIFSs induced by expanding maps. We prove that these NAIFSs having the specification and ${\ast}$-expansive properties.

• Proceedings of the Korean Institute of Information and Commucation Sciences Conference
• /
• 2009.05a
• /
• pp.171-174
• /
• 2009

Generally the neural network and the fuzzy compensative algorithm are applied to forecast the time series for power demand with a characteristic of non-linear dynamic system, but it has a few prediction errors relatively. It also makes long term forecast difficult for sensitivity on the initial condition. On this paper, we evaluate the chaotic characteristic of electrical power demand with analysis methods of qualitative and quantitative and perform a forecast simulation of electrical power demand in regular sequence, attractor reconstruction, time series forecast for multi dimension using Lyapunov exponent quantitatively. We compare simulated results with the previous method and verify that the purpose one being more practice and effective than it.

• The Journal of Korean Physical Therapy
• /
• v.31 no.5
• /
• pp.298-303
• /
• 2019

Purpose: This study examined the effects of slashpipe exercise on reducing the thickness of the left and right external oblique, internal oblique, transverse abdominis, erector spinae, and multifidus muscles. Methods: A total of 29 healthy adult men and women were included in the study. They performed trunk flexion in the supine position and trunk extension in the prone position with a slashpipe and weight bar. The external oblique, internal oblique, and transverse abdominis muscles were measured in the supine position, while the erector spinae and multifidus muscles were measured in the prone position. The data were analyzed using the SPSS ver 21.0 statistical program. The difference in thickness between the right and left sides of the trunk muscle was analyzed by repeated measures analysis. The statistical significance level was set to p<0.05. Results: The results showed that the slashpipe exercise reduced significantly the difference in thickness of the oblique internus and erector spinae muscles compared to the weight bar exercise. Conclusion: The chaotic fluidity of the fluid filled inside the slashpipe could be used as sensory feedback information on body mal-alignment, which would have positively affected the symmetrical contraction of the trunk muscles as a trigger for self-correction. Therefore, it will have a useful effect not only on the health of the general public, but also on low back patients and athletes with muscle asymmetry.

• Knowledge Management Research
• /
• v.20 no.2
• /
• pp.105-135
• /
• 2019

This study investigates cognitive and emotional changes in individuals to clarify the principle between artistic stimulation and business innovation idea generation based on phenomenological research methodology. We conducted in-depth interviews with six participants who participated in the artistic creation program of business art, and derived meanings from their experience. As a result, we presented 4 essential categories, 8 main subjects, and 20 sub-subjects; 1) Optimizing rational and creative thinking, 2) Projecting oneself to the artist, finding balance, 3) Having room in mind to view the surroundings, finding insight into the world, 4) Eureka moment, crossing the boundary between business and art. We also found out participants of the program 1) Gradually expanded the criteria, 2) In chaotic directions, and 3) Leaded business creativity through from a non-form to reality throughout the project experience, The attempt to identify business phenomena by using phenomenological qualitative research methods had an academic significance regarding the unfamiliarity of the method in the business administration area. Moreover, this study broadened the possibility of promoting creativity by art in business areas. The study verified the categories and subjects of the business art, paving the way towards application in the real business situation.

• Structural Engineering and Mechanics
• /
• v.69 no.1
• /
• pp.21-31
• /
• 2019

Optimizing composite structures to exploit their maximum potential is a realistic application with promising returns. In this research, simultaneous maximization of the fundamental frequency and frequency separation between the first two modes by optimizing the fiber angles is considered. A high-fidelity design optimization methodology is developed by combining the high-accuracy of finite element method with iterative improvement capability of metaheuristic algorithms. Three powerful nature-inspired optimization algorithms viz. a genetic algorithm (GA), a particle swarm optimization (PSO) variant and a cuckoo search (CS) variant are used. Advanced memetic features are incorporated in the PSO and CS to form their respective variants-RPSOLC (repulsive particle swarm optimization with local search and chaotic perturbation) and CHP (co-evolutionary host-parasite). A comprehensive set of benchmark solutions on several new problems are reported. Statistical tests and comprehensive assessment of the predicted results show CHP comprehensively outperforms RPSOLC and GA, while RPSOLC has a little superiority over GA. Extensive simulations show that the on repeated trials of the same experiment, CHP has very low variability. About 50% fewer variations are seen in RPSOLC as compared to GA on repeated trials.

• Journal of the Architectural Institute of Korea Planning & Design
• /
• v.35 no.6
• /
• pp.47-58
• /
• 2019

According to the Korea Ministry of Transportation report in 2015, domestic used car trade (3.66million) is twice the number of new car sales (1.84million). However, contrary to the quantitative growth of the used car trading volume, chaotic used-car market practice has not been improved and also, space that holds these markets (facilities) has remained at a very low level of quality. Lemon Market, asymmetry of information, false bait, tout, dual contracts, negative words that qualify the used car market information are still in place. The aim of this study was to understand the unique circumstances of the used car sales market distinguished from new cars, and to analyse the problems of recent domestic used car market facilities and afterwards to draw guidelines for new used car facility architecture. Through literature review, surveys, the characteristics of domestic used car market have been organised and field research and competitive analysis of the Korea used car market architecture is followed. As a result, empirical guideline for Korea used-car market facility is introduced.

• Cross-Cultural Studies
• /
• v.22
• /
• pp.151-175
• /
• 2011

In this article, I have analyzed the signification of the death of Don Quijote from the oriental religious and philosophical point of view, comparing with the novels of Kim, DongRi. We are able to read Cervantes' hope for his absolute ideal to be lasting forever via the death of Don Quijote, in the base of a strong will named of Gukyeong's life. In the same time, we can also discovery death as lasting of life in the basis of buddhist idea and death as the unification with nature via the meeting between the living and the dead in the Montesinos Cave. Montesinos Cave symbolizes a unclassified and chaotic space, which the Shamanist can meet the dead with a extatic ceremony and both supernatural life and daily life coexist. Therefore, the symbolic death of Don Quijote in Montesinos Cave is abe to be explained by approaching to absolute freedom named of Hatal, in other words, voluntary and conscious death to escape from the yugo of being. Considering the fact that Kim, Dongri emphasized on the unification of sky, earth and human being, keeping a racial identification in the face of the stream of occidental materialism in the time of Japanese conquest, we can look for the similarity with Cervantes' ideal. Contrary to the religious dogmatic ideal, Cervantes treated to recover the human nature and vitality, transcending the occidental rationalism and religious ideology in the time of Counter-reformation.