• Title/Summary/Keyword: 수학적 디자인

Search Result 75, Processing Time 0.026 seconds

Fuzzy Deterministic Relations (퍼지 디터미니스틱 관계)

  • Sung, Yeoul Ouk;Lee, Hyun Kyu;Yang, Eunmok
    • Journal of Digital Convergence
    • /
    • v.19 no.10
    • /
    • pp.377-382
    • /
    • 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 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
    • /
    • v.12 no.2
    • /
    • pp.363-369
    • /
    • 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.

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
    • /
    • v.26 no.3
    • /
    • pp.401-409
    • /
    • 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.

Fuzzy Based Selection Technique for Character Action in Came Balancing (Game Balancing에서 Fuzzy를 이용한 캐릭터 액션 선택)

  • Hyun, Hye-Jung;Kim, Tae-Sik
    • Journal of the Korea Society of Computer and Information
    • /
    • v.13 no.1
    • /
    • pp.81-88
    • /
    • 2008
  • In the game balancing. it is so difficult to choose suitable arms among various actions, or arms and to accurately calculate to which level we adjust the balance. The fuzzy method can be properly used in a particular environment which cannot be correctly processed in mathematics or in lessening the time-consuming problems during the accurate number crunching. Because a variety of actions, relations with opponents. previous battle experiences etc. are not easy to be reflected in every occasion, the fuzzy method could be useful in these cases. When the balancing is needed. the data which have been played to that Point are processed by the fuzzy function and calculated to adapt intensity to each action. The ability of characters is regulated in this process. To demonstrate the efficiency of this method. I would like to make clear the excellence of fuzzy method through the following five experiments; a case with invariable ability adjustment, a case adjusted by a randomly chosen action, a case with the strongest weapon selection. a case with the weakest weapon selection and a case with the fuzzy method application.

  • PDF

Properties and Characteristics of Jacket Matrices (Jacket 행렬의 성질과 특성)

  • Yang, Jae-Seung;Park, Ju-Yong;Lee, Moon-Ho
    • The Journal of the Institute of Internet, Broadcasting and Communication
    • /
    • v.15 no.3
    • /
    • pp.25-33
    • /
    • 2015
  • As a reversible Jacket is having the compatibility of two sided wearing, the matrix that both the inside and the outside are compatible is called Jacket matrix, and the matrix is having both inside and outside by the processes of element-wise inverse and block-wise inverse. This concept had been completed by one of the authors Moon Ho Lee in 1989, and finally that resultant matrix has been christened as Jacket matrix, in 2000. This is the most generalized extension of the well known Hadamard matrices, which includes both orthogonal and non-orthogonal matrices. This matrix addresses many problems in information and communication theories. we investigate the properties of the Jacket matrix, i.e. determinants, eigenvalues, and kronecker product. These computations are very useful for signal processing and orthogonal codes design. In our proposal, we provide some results to calculate these values by using a very simple mathematical model with less complexity.

Internet of Things (IoT) Based Modeling for Dynamic Security in Nuclear Systems with Data Mining Strategy (데이터 마이닝 전략을 사용하여 원자력 시스템의 동적 보안을 위한 사물 인터넷 (IoT) 기반 모델링)

  • Jang, Kyung Bae;Baek, Chang Hyun;Kim, Jong Min;Baek, Hyung Ho;Woo, Tae Ho
    • Journal of Internet of Things and Convergence
    • /
    • v.7 no.1
    • /
    • pp.9-19
    • /
    • 2021
  • The data mining design incorporated with big data based cloud computing system is investigated for the nuclear terrorism prevention where the conventional physical protection system (PPS) is modified. The networking of terror related bodies is modeled by simulation study for nuclear forensic incidents. It is needed for the government to detect the terrorism and any attempts to attack to innocent people without illegal tapping. Although the mathematical algorithm of the study can't give the exact result of the terror incident, the potential possibility could be obtained by the simulations. The result shows the shape oscillation by time. In addition, the integration of the frequency of each value can show the degree of the transitions of the results. The value increases to -2.61741 in 63.125th hour. So, the terror possibility is highest in later time.

Development of Applied Music Education Program for Creative and Convergent Thinking-With a Focus on the Capstone design Class (창의·융합적 사고를 위한 실용음악 교육프로그램 개발-캡스톤디자인 수업을 중심으로)

  • Yun, Sung-Hyo;Han, Kyung-hoon
    • The Journal of the Convergence on Culture Technology
    • /
    • v.10 no.4
    • /
    • pp.285-294
    • /
    • 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.

The Effect of the Use of Concept Mapping on Science Achievement and the Scientific Attitude in Ocean Units of Earth Science (해양단원 개념도 활용 수업이 과학성취도 및 태도에 미치는 효과)

  • Han, Jung-Hwa;Kim, Kwang-Hui;Park, Soo-Kyong
    • Journal of the Korean earth science society
    • /
    • v.23 no.6
    • /
    • pp.461-473
    • /
    • 2002
  • Concept mapping is a device for representing the conceptual structure of a subject discipline in a two dimensional form which is analogous to a road map. In the teaching and learning of earth science, each concept depends on its relationships to many others for meaning. Using concept mapping in teaching helps teachers and students to be more aware of the key concepts and relationships among them. The purpose of this study is to investigate the effect of the use of concept mapping on science achievement and the scientific attitude in ocean units of earth science. The results of this study are as follows; first, the science achievement of a group of concept mapping teaching is significantly higher than that of the group of traditional teaching. Also, when the achievement levels are compared among different cognitive ability groups, the effect is more significant in mid or lower level student groups than in high level groups. The use of concept mapping is more effective when the concepts have a distinct concept hierarchy. Second, the scores of the test of ‘attitude toward scientific inquiry’ and ‘application of scientific attitude’ of the group of concept mapping teaching are significantly higher than those of the group of traditional teaching, whereas the scores of the test of ‘interest in science learning’ of concept mapping teaching is not different from those of group of traditional teaching. Third, the survey on the use of concept mapping shows a positive response across the tested groups. The use of concept mapping is more beneficial in fostering the comprehension of the topic. A concept map of student's own construction facilitates the assessment of learning, thus promising the usefulness of concept mapping as a means of evaluation. In regard to retention aspect, concept mapping is considered to be more effective in confirming and remembering the topic, while less effective in the aspects of activity and interest. In conclusion, the use of concept maps makes learning an active meaningful process and improves student's academic achievement and scientific attitude. If the concept mapping is more effectively as an active teaching strategy, more meaningful learning will be attained.

Optimization of biomethane production by biogas upgrading process using response surface mothodolgy (반응표면분석을 이용한 바이오가스 고질화공정을 통한 바이오메탄)

  • Park, Seong-Bum;Sung, Hyun-Je;Shim, Dong-Min;Kim, Nack-Joo
    • Journal of Energy Engineering
    • /
    • v.23 no.2
    • /
    • pp.62-73
    • /
    • 2014
  • This research was focused to apply response surface methodology for optimization of bio-methane production by biogas upgrading process. Methane concentration(Y1) and methane efficiency(Y2) on biogas upgrading process were mathematically described as being modeled by the use of the Box-Behnken design on response surface methodology. The results of ANOVA(analysis of variance) about models, the probability value of the methane concentration and methane recovery response surface model are 0.0001 and 0.0001, respectively and coefficient of determination($R^2$) are 0.9788 and 0.9710, respectively. The response surface model is proved of high reliability and suitability. The operation pressure had the greatest influence to methane concentration than other operation parameters and the PSA rotary valve velocity had the greatest influence to methane recovery than other operation parameters. Optimal condition of biogas upgrading process for production of $100Nm^3/hr$ bio-methane were operation pressure 8.0bar and outlet flow rate 31.55RPM, respectively. At that operation condition the methane concentration of bio-methane was 97.13% and methane recovery in biogas upgrading process was 75.89%.

Implementation of 2-D Incoherent Imaging using Hilbert Transform based on Two-Pupil Optical Heterodyne Scanning System (Two-Pupil 광학 헤테로다인 스캐닝 시스템 기반의 힐버트 변환을 활용한 2-D 인코히어런트 이미징 구현)

  • Kyung, Min-Gu;Doh, Kyu-Bong
    • Journal of Advanced Navigation Technology
    • /
    • v.16 no.2
    • /
    • pp.240-246
    • /
    • 2012
  • The Hilbert transform, which has been hitherto discussed in coherent imaging, is for the first time investigated in the context of incoherent imaging. Because the Hilbert transform of the information is superposed coherently with the original light field. We present a two-pupil optical heterodyne scanning system and analyze mathematically the design of its two pupils such that the optical system can perform the Hilbert transform on incoherent objects. In this paper, we review and formulate the definition of an analytic signal of a function and from which we can obtain the Hilbert transform of the function. and we analyze the design of pupils so as to obtain the Hilbert transform and show some 2-D simulations. Computer simulation results of the idea clarify the theoretical results.