• Title/Summary/Keyword: 수학과 디자인

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A Comparative Study on the Different Usage of the Grids between Leonardo da Vinci and J.N.L. Durand (레오나르도 다 빈치와 J.N.L. 뒤랑의 그리드 사용법에 관한 비교 연구)

  • Hwang, Minhye
    • Asia-pacific Journal of Multimedia Services Convergent with Art, Humanities, and Sociology
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    • v.7 no.8
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    • pp.189-199
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    • 2017
  • The purpose of this study is to compare the grid usage that is common to Leonardo da Vinci and J.N.L. Durand in the process of designing the architectural plan. In the days when there was no proper measurement tool, auxiliary lines relied entirely on the architect's personal mindset and design convenience. Therefore, it is considered that studying the auxiliary lines drawn by the architects will be useful for studying the human perception system. Among auxiliary lines, the grid has been used by many architects. Leonardo da Vinci and J.N.L. Durand are famous. However, these two show a significant different grid usage. As auxiliary grid and space ares added the center of the Leonardo da Vinci grid continues to move, and the grid in his sketch is becoming a building space itself. So I call it 'conceptual grid'. In the case of J.N.L. Durand, the one center of the grid is always at the center of the drawing. That is, all the positions of the grid can be determined in phase around a common point, and all of the same specifications are assumed. The grid is a kind of filter. That's why his grid is a visual abstraction of the process of thinking. In this paper, I will call the grid of J.N.L. Durand as 'abstract grid'.

Fuzzy Deterministic Relations (퍼지 디터미니스틱 관계)

  • Sung, Yeoul Ouk;Lee, Hyun Kyu;Yang, Eunmok
    • Journal of Digital Convergence
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    • v.19 no.10
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    • pp.377-382
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    • 2021
  • A fuzzy relation between X and Y as fuzzy subset of X × Y was proposed by Zadeh. Subsequently, several researchers have applied the notion of fuzzy subsets to various branches of mathematics and computer sciences. Murali an Nemitz have studied fuzzy relations connected with fuzzy equivalence relations and fuzzy functions. Ounalli and Jaoua defined a fuzzy difunctional relation on a set. difunctional relations are versatile mathematical tool, which can be used in software design and in database theory. Their work have revealed the usefulness of difunctional relations in program specification and in defining program correctness. The main goal of this paper is to define a fuzzy deterministic relation on a set, characterize the fuzzy deterministic relation as its level subsets and investigate some properties in connection with fuzzy deterministic relation. In particular we prove that a fuzzy relation R is fuzzy deterministic iff R is a fuzzy function.

The Development and Application of Elementary Mathematics Congruence Learning Courseware based on Web-based Interaction (웹기반 상호작용을 기반으로 한 초등수학과 합동학습 코스웨어 개발 및 적용)

  • Choi, Jeong-Yong;Han, Kyu-Jung
    • 한국정보교육학회:학술대회논문집
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    • 2007.08a
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    • pp.294-299
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    • 2007
  • 도형의 합동은 도형의 대칭이나 도형그리기를 배우는 데에 기본이 되며, 도형의 성질을 이해하고 모양을 그리는 능력을 기르게 할 수 있다. 도형의 합동을 공부해야 일상 생활에서 필요로 하는 디자인이나 아름다운 예술 작품에 대한 소양을 가질 수 있다. 하지만 합동 학습을 할 때에 개념을 형성하는데 드는 시간보다 종이를 자르고 도형의 본을 뜨는 행동과 같은 구체적 조작 시간이 많이 소요되기 때문에 학생들 간의 상호작용은 물론 교사와 학생들과의 상호작용 시간도 기대하기 어렵다. 따라서 본 연구에서는 초등학교 학생들에게 학습효과를 높일 수 있도록 상호작용 이론을 합동학습에 적용하여 학습자들이 합동의 개념을 쉽게 이해할 수 있도록 하였고 동시에 동시적 비동시적 의사소통이 가능한 웹상에서 실시하는 합동학습 코스웨어를 개발하고 적용하였다.

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A New Algorithm and High-Performance Hardware Design for 2-Dimensional Parallel Generation of Digital Hologram (디지털 홀로그램의 2차원적인 병렬 생성을 위한 알고리즘 및 고성능 하드웨어 설계)

  • Yang, Wol-Sung;Seo, Young-Ho;Kim, Dong-Wook
    • Journal of the Korea Institute of Information and Communication Engineering
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    • v.16 no.1
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    • pp.133-142
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    • 2012
  • In this paper, we propose and implement a high-speed algorithm for CGH that is to calculate digital hologram by modeling the interference phenomenon for tow lights. This algorithm changes the computation equations into a parallel-computable ones and implements it with a structure consisting of two kinds of cells (initial calculation cell, and update calculation cell). The parallel computation algorithm is to get the rest hologram pixels concurrently after calculation the first hologram column. Here, the initial calculation cells compute the first column of the hologram and the update calculation cells compute the rest of the hologram. The two kinds of cells performs a pipeline operation to complete the operations of the two cells at the same time. A CGH calculator to compute the hole hologram for a light source is structured by arranging the two kinds of cells. Results from simulation showed that the maximum operation frequency is about 215MHz. So, experiments are performed by setting this frequency and the same environments as the method showing the best performance. As the results, the proposed one could complete the computation of 81.75 CGH frames per second, while the previous method computes 62.9 CGH frames per second.

Co-Channel Interference Mitigation and System Throughput Maximization Using Hybrid Joint Reuse Partitioning in Multimedia Mobile Communications (멀티미디어 이동 통신에서 Hybrid Joint 주파수 재사용 구간을 이용한 동일 채널 간섭 억제 및 시스템 전송량 최대화 방법)

  • Kim, Jeong-Su
    • The Journal of Korean Institute of Electromagnetic Engineering and Science
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    • v.18 no.5 s.120
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    • pp.465-470
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    • 2007
  • The co-channel interference is a primary factor of loss in multimedia mobile communications. In this paper, we present a performance of the frequency reuse partitioning to refrain the co-channel interference and maximize system performance. First, we analyze the co-channel interference using the frequency reuse partitioning through the statistical modeling. From this results, we decide on the frequency reuse partitioning for the system throughput which is maximized. Finally, analysis and simulation results show that the frequency reuse partitioning based cellular system can mitigate the co-channel interference and maximize the system throughput. The experimental results show that system throughput is maximized from 0.7 to 0.8 according to traffic road. We can maximize the system throughput using the results with cellular system design parameter.

Analyzing 3D Imaging of Type as Formative Language (조형언어적 타입의 공간적 이미지화 분석)

  • Chung, Hoon-Dong
    • The Journal of the Korea Contents Association
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    • v.9 no.6
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    • pp.104-116
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    • 2009
  • Today's Digital Environment made Typography to enter into a new phase. The Type which is a principal component of Typography is no exception to this aspect. However since the existing two-dimensional space has figurative potential, Visual Communication designers are still striving to explore both X axis and Y axis. In this context, Z axis which signifies 'Depth' is often recognized as an unfamiliar mathematical concept unrelated to Design Sensibility. If Z axis is used, the figurative aspect can be acquired, which was hard to be realized in the flat space, because the additional space of depth allows the expansion of omni-directional expression of target. Most notable is the fact that Z axis provided by Digital Environment has actually long existed and is inseparable from Type. This study, therefore, focuses on the three-dimensional expression of Type in the Visual Communication Design area by taking into account the above characteristics.

The Meta-Analysis on Effects of Python Education for Adolescents (청소년 대상 파이썬(Python) 활용 교육의 효과에 대한 메타분석)

  • Jang, Bong Seok;Yoon, So Hee
    • Journal of Practical Engineering Education
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    • v.12 no.2
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    • pp.363-369
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    • 2020
  • This study intends to examine effects of python education for adolescents. 6 primary studies were chosen through careful search process and investigated through meta-analysis. Research findings were as follows. The total effect size was 0.684. Second, the effect sizes of dependent variables were academic achievement 0.871, cognitive domain 0.625, and affective domain 0.428 in order. Third, for cognitive domain, the effect sizes were self-efficacy 0.833, problem-solving 0.283, computing thinking 0.276, and coding competency 0.251 in order. Fourth, for affective domain, the effect sizes were learning interest 0.560 and programming interest 0.417 in order. Fifth, regarding school level, the effect sizes were middle school 0.851, high school 0.585, and college 0.435 in order. Finally, for subject areas, the effect sizes were mathematics 1.057, design 0.595, information 0.585, and software 0.28 in order.

The Web Based the Question Centered Mathematics Congruence Learning System (웹기반 발문 중심 수학과 합동학습 시스템)

  • Choi, Jeong-Yong;Han, Kyu-Jung
    • Journal of The Korean Association of Information Education
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    • v.12 no.2
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    • pp.141-149
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    • 2008
  • Congruence of figure is a basic to learn a symmetrical figure and helps to understand the characteristics of figure and know the way of drawing figures. The knowledge of congruence provides us art attainments to understand design and fine pieces of art. However, it is difficult to expect the interaction between students or between teachers and students, because of spending too much time for cutting papers and making the shapes of figure during the class for establishing the concepts. This study utilized a question-based interaction model which would foster elementary school student's learning effectiveness and make them understood the concept of congruence, also developed a congruence learning system which could communicate in both synchronous and asynchronous situation.

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Balance for Fighting System between Characters (캐릭터간의 대전 시스템을 위한 밸런스 구현)

  • Park, Chan-Il;Yang, Hae-Sool
    • Journal of Korea Game Society
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    • v.7 no.3
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    • pp.23-30
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    • 2007
  • Game balance is an very important factor for game design, it is necessary factor to make game more fun. Most of game companies have been using their own balance method for successful game development. An efficient balance method always can't guarantee successful game development but it is true for game developer to need standard balance method for efficient game development. Fighting system between characters is mainly implemented in genre including action. Direct balance factors for fighting between characters are their characteristics and attack patterns. In this paper, We identify direct balance factors for game including fighting system between characters and propose mathematical method for it.

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Computational Optimization for RC Columns in Tall Buildings (초고층 철근콘크리트 기둥의 전산최적설계 프로세스)

  • Lee, Yunjae;Kim, Chee-Kyeong;Choi, Hyun-Chul
    • Journal of the Korea Concrete Institute
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    • v.26 no.3
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    • pp.401-409
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    • 2014
  • This research develops tools and strategies for optimizing RC column sections applied in tall buildings. Optimization parameters are concrete strength and section shape, the objective function for which is subject to several predefined constraints drawn from the original structural design. For this purpose, we developed new components for StrAuto, a parametric modeling and optimization tool for building structure. The components receive from external analysis solvers member strengths calculated from the original design model, and output optimized column sections satisfying the minimum cost. Using these components, optimized sections are firstly obtained for each predefined concrete strength applied to the whole floors in the project building. The obtained results for each concrete strength are comparatively examined to determine the fittest sections which will also result in the fittest vertical zoning for concrete strength. The main optimization scenario for this is to search for the vertical levels where the identical optimized sections coincide for the two different concrete strengths in concern, and select those levels for the boundaries where a concrete strength will be changed to another. The optimization process provided in this research is a product of an intensive development designed for a specific member in a specific project. Thus, the algorithm suggested takes on a microscopic and mathematical approach. However, the technique has a lot of potential that it can further be extensively developed and applied for future projects.