• The Journal of the Convergence on Culture Technology
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• v.10 no.4
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• pp.285-294
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• 2024

This study aims to enhance learners' creative and integrative thinking through the use of a practical music education program, facilitating high-quality artistic activities and the integration of various disciplines. To achieve this, a practical music education program incorporating the PDIE model was designed, and the content validity of the developed program was verified. Through this process, We have researched and described methodologies for multidisciplinary research that can be applied in practical music education. This paper focuses on the fourth session of the study, which deals with the creative and integrative education of practical music and mathematics. The mathematical theory of interest in this research is the Fibonacci sequence, fundamental to the golden ratio in art. The goal is to enable balanced and high-quality creative activities through learning and applying the Fibonacci sequence. Additionally, to verify the validity and effectiveness of the instructional plan, including the one used in the 15-week course, we have detailed the participants involved in the content validation, the procedures of the research, the research tools used, and the methods for collecting and analyzing various data. Through this, We have confirmed the potential of creative and integrative education in higher practical music education and sought to develop educational methodologies for cultivating various creative talents in subsequent research.

• KIISE Transactions on Computing Practices
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• v.23 no.10
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• pp.594-598
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• 2017

Tremendous quantities of numerical data are generated every day from various sources, including the stock market. Universal codes such as Elias gamma coding, Elias delta coding and Fibonacci coding are generally used to store arrays of integers. Studies have been conducted to support fast access to specific elements in an integer array, while occupying less space. We suggest an improved code system that utilizes the concepts of succinct data structures. This system is based on a data structure that allows compressing a delimiter bit array while supporting queries in constant time. The results of an experiment show that the encoded array uses lower space, while not sacrificing time efficiency.

• The KIPS Transactions:PartA
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• v.13A no.3 s.100
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• pp.261-266
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• 2006

Priority queues can be used in applications such as scheduling, sorting, and shortest path network problem. Fibonacci heap, pairing heap, and M-heap are priority queues based on pointers. This paper proposes a modified M-heap with an way representation, called MA-heap, that resolves the problem mentioned in [1]. The MA-heap takes O(1) amortized time and O(logn) time to insert an element and delete the max/min element, respectively. These time complexities are the same as those of the M-heap. In addition, it is much easier to implement an MA-heap than a heap proposed in [5] since it is based on the simple traditional heap.

• Advances in aircraft and spacecraft science
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• v.10 no.4
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• pp.347-368
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• 2023

In the first part of this study, a numerical simulation model was developed using the mechanical APDL software to validate the results of the 3D-elastisity theory on the laminated sandwich plate developed by Panago. The numerical simulation model showed a good agreement to the results of Pagano's theory in terms of deflection, normal stresses, and shear stresses. In the second part of this study, the developed numerical simulation model was used to define different plates dimensions and fibers layup orientations to examine the load response in terms of deflection and stresses. Further analysis was implemented on the natural frequencies of laminated xxx plates of the plates. The layup configurations include Unidirectional (UD), Cross-Ply (CP), Quasi-Isotropic (QI), the linear bio-inspired known as Linear-Helicoidal (LH), and the nonlinear bio-inspired known as Fibonacci-Helicoidal (FH). The following numerical simulation model can be used for the design and study of novel, sophisticated bio-inspired composite structures in a variety of configurations subjected to sinusoidal or constant loads.

• Journal of Digital Convergence
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• v.10 no.9
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• pp.363-368
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• 2012

The Cluster-based routing protocol is consumed the energy consumption efficiently, but there are many isolated nodes while clustering, so these are impeding energy efficiency. Hop-by-hop based routing protocol is suitable large-scaled network or dynamic environment. However, with the periodic flooding signal and rapid energy loss of near sink nodes, the network life time become shorter. In this paper, We propose the hybrid routing protocol that combine the cluster based routing method for energy efficiency of nodes and hop-by-hop method for re-joining the isolated nodes and load balance of nodes in the near cluster using fibonacci sequence. Based on the analysis, it is proved that the hybrid routing protocol provided higher energy efficiency and less the isolated nodes than previous methods.

• The Journal of the Institute of Internet, Broadcasting and Communication
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• v.16 no.6
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• pp.319-327
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• 2016

In this paper we investigate that most of plants and animals have the symmetric property, such as a tree or a sheep's horn. In addition, the human body is also symmetric and contains the DNA. We can see the logarithm helices in Fibonacci series and animals, and helices of plants. The sunflower has a shape of circle. A circle is circular symmetric because the shapes are same when it is shifted on the center. Einstein's spatial relativity is the relation of time and space conversion by the symmetrically generalization of time and space conversion over the spacial. The left and right helices of plants and animals are the symmetric and have element-wise inverse relationships each other. The weight of center weight Hadamard matrix is 2 and is same as the base 2 of natural logarithm. The helix matrices are symmetric and have element-wise inverses.

• The Journal of the Institute of Internet, Broadcasting and Communication
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• v.9 no.6
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• pp.69-73
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• 2009

Network Virtual Environments (NVEs) is a virtual world where users exchanges messages via network connection. A limited visibility sphere called area of interest (AOI) is used to reduce the load created by the interactions between users. VON-Forwarding model is proposed as an effective methods to reduce network bandwidth in P2P network environment. Vorocast and Fibocast originated from Von-forwarding resolves the problems to receive the same messages repeatly. In this paper, We proposed an Extended Volocast scheme to improve the problem not to get consistency except a limited area near to the center of AOI. The proposed scheme maintains the consistency about the broad area into AOI by adjusting geometrical series $2^X$. We perform simulation experiments to show that the proposed scheme provide better performance compared to the other schemes.

• The Journal of the Institute of Internet, Broadcasting and Communication
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• v.17 no.5
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• pp.157-163
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• 2017

The binary and interpolation search algorithms are the most famous among search area algorithms, the former running in $O(log_2n)$ on average, and the latter in $O(log_2log_2n)$ on average and O(n) at worst. Also, the interpolation search use only the probability of key value location without priori information. This paper proposes another search algorithm, which I term a 'hybrid block and interpolation search'. This algorithm employs the block search, a method by which MSB index of a data is determined as a block, and the interpolation search to find the exact location of the key. The proposed algorithm reduces the search range with priori information and search the reduced range with uninformed situation. Experimental results show that the algorithm has a time complexity of $O(log_2log_2n_i)$, $n_i{\simeq}0.1n$ both on average and at worst through utilization of previously acquired information on the block search. The proposed algorithm has proved to be approximately 10 times faster than the interpolation search on average.

• Journal of the Korean School Mathematics Society
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• v.8 no.4
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• pp.481-494
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• 2005

In this study, the goal is to spread profound knowledge and theory through providing with accumulated methods in mathematics education to the students who are relatively neglected in educational benefits. The process is divided into 3 categories: mathematics for obtaining common sense and intelligence, practical math for application, and math as a liberal art to elevate their characters. Furthermore, it includes the reasons for studying math, improving problem-solving skills, machinery application learning, introduction to code(cipher) theory and game theory, utilizing GSP to geometry learning, and mathematical relations to sports and art. Based on these materials, the next step(goal) is to train graduate students to conduct researches in teaching according to the teaching plan, as well as developing interesting and effective teaching plan for the remote high school learners.

• Journal of the Korean Institute of Traditional Landscape Architecture
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• v.34 no.2
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• pp.45-54
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• 2016

For the design of landscape, quantitative research is very important data for the designer. In this regard, this study analyzed the rhythm of the wall of Oksan Seowon, which horizontally ascends the slope, as the principles of design. This resulted in the deduction of the numerical proportion and progression, which became design motifs and proposed a design method, which can be applied in landscape rhythm design. The Oksan Seowon is a very valuable cultural heritage, where a very meticulous design principles were found as a result of the analysis of the slope rhythm, for which the proportion and scale were employed. A principle of proportion was found, where an asymmetric balance was formed by weighting the lower part of the slope, in accordance with the degree of the slope. Also, The scale of the height of the wall was based on the human scale. The aesthetic rhythmic design progression was derived from the area and the horizontal line rhythm of the walls. Also, They found out the Fibonacci series and golden ratio. The fact that cultural heritage was analyzed of aesthetic design principles by the very systematic quantitative method is of great significance. Moreover, derived motifs proposed examples of an application of analyzed rhythm progression to the landscape rhythm design. This research will be able to function as the frame and data for the design method of the landscape rhythm.