• Title/Summary/Keyword: 비례추론

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Iterative Tuning of PID Controller by Fuzzy Indirect Reasoning and a Modified Zigler-Nichols Method (퍼지 간접추론법과 수정형 지글러-니콜스법에 의한 비례-적분-미분 제어기의 점진적 동조)

  • Kim, S.D.
    • Journal of the Korean Society for Precision Engineering
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    • v.13 no.5
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    • pp.74-83
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    • 1996
  • An iterative tuning technique is derived for PID controllers which are widely used in industries. The tuning algorithm is based upon a fuzzy indirect reasoning method and an iterative technique. The PID gains for the first tuning action are determined by a method which is modified from the Ziegler-Nichols step response method. The first PID gains are determined to obtain a control performance so close to a design performance that the following tuning process can be made effectively. The design paramaters are given as time-domain variables which human is familiar with. The results of simulation studies show that the proposed tuning method can produce an effective tuning for arbitrary design performances.

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Construction of Elementary Functions through Proportions on the Dynamic Environment (역동적 기하 환경에서 비례를 이용한 중학교 함수의 작도)

  • Lew, Hee-Chan;Yoon, O-Kyo
    • School Mathematics
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    • v.13 no.1
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    • pp.19-36
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    • 2011
  • This study provides middle school students with an opportunity to construct elementary functions with dynamic geometry based on the proportion between lengths of triangle to activate students' intuition in handling elementary algebraic functions and their geometric properties. In addition, this study emphasizes the process of justification about the choice of students' construction method to improve students' deductive reasoning ability. As a result of the pilot lesson study, this paper shows the characteristics of the students' construction process of elementary functions and the roles the teacher plays in the process.

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A Comparative Analysis of the Speed in Elementary Mathematics Textbooks of Korea, Japan, Singapore and The US (한국, 일본, 싱가포르, 미국의 초등 교과서에 제시된 속력 개념의 비교·분석)

  • Choi, Eunah;Joung, Youn-joon
    • Journal of Elementary Mathematics Education in Korea
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    • v.22 no.4
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    • pp.453-473
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    • 2018
  • In this study, we analyzed the contents of speed concept presented in Korean, Japanese, Singapore, and American elementary mathematics textbooks, and drew implications for the teaching of speed concept in elementary schools. We developed a textbook analysis framework by theoretical discussions on the characteristics of the speed concept based on the proportional relationship and the previous researches on the speed in elementary mathematics. We analyzed the textbooks of four countries and drew some suggestions for improving the teaching of speed concept in Korean elementary schools.

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The Effect Of Shape On Emotion (형태를 통해서 느끼는 감성 - 기본 도형을 중심으로 -)

  • Jung, Dae-Hyun;Han, Kwang-Hui
    • 한국HCI학회:학술대회논문집
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    • 2007.02b
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    • pp.445-451
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    • 2007
  • 시각과 관련된 정서 연구 중에서 색에 대한 연구나 움직임에 대한 연구는 많이 이루어져 왔으나 정적인 형태 자체에서 감성을 불러일으킬 수 있는가에 대한 연구는 많이 이루어지지 않았다. 따라서 이 논문에서는 2차원적인 형태 중, 모든 형태의 기본이 되는 3가지 기본적인 도형(삼각형, 사각형, 원)을 중심으로 도형의 물리적 속성에 따른 감성 차이가 있는지를 살펴보고자 하였다. 도형의 물리적 속성은 물체 인식과 시각 디자인에서 중요시되는 요소인 방향성, 정형성, 비례, 예리함을 중심으로 감성이 어떻게 달라지는지를 살펴보았다. 그 결과 방향성, 정형성, 비례, 예리함에 따라 도형에 따른 감성의 차이가 모두 존재함을 알 수 있었다. 도형간의 차이는 쾌 불쾌 차원에서는 원으로 갈수록 쾌함을 확인했고 각성 차원에서는 삼각형으로 갈수록 각성이 높아짐을 알 수 있었다. 방향성은 수평, 수직보다 기울어진 형태에서 쾌하고 각성이 낮음을 알 수 있었다. 비례는 너비와 높이의 비가 1:1 일 때 각성이 가장 낮고 쾌한 정도가 상대적으로 가장 높음을 알 수 있었고 비정형 도형일수록 불쾌하고 각성이 높음을 알 수 있었다. 아울러 도형과, 방향성 비례 그리고 정형성간의 상호작용 측면도 살펴보았고 어떤 요소가 더 영향을 미칠 수 있는지도 살펴보았다. 이러한 결과를 바탕으로 도형이 어떤 속성이 이러한 감성을 불러일으키는 요인인지를 알아보기 위한 추가실험도 실시하였다. 그 결과 도형의 속성 중 모서리의 예리함이 감성차이를 불러일으킬 수 있는 요인이 될 수 있음을 알 수 있었고 선 형태와의 상호 작용 시 예리함이 감성에 더 영향을 미칠 수 있는 요인임을 추론할 수 있었다. 이러한 도형이 주는 감성 연구는 도형의 감성적인 평가 과정이 인지와 정서간의 관계를 설명해 줄 수 있는 내용이 될 수 있다는 점에서 의의가 있다. 아울러 기본이 되는 도형의 형태로부터 감성의 차이가 있음을 확인함으로써 제품의 물리적 디자인에 대한 가이드라인을 제공해 줄 수 있을 것이라 예상된다. 특히 각성 상태가 인지적 수행에 중요한 영향을 미칠 수 있다는 사실로부터 학습도구에서의 도형의 효과적인 사용을 제안하고자 한다.

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Meaning of the Expression a:b=c:d and Implications for Teaching (비례식 a:b=c:d의 의미 분석과 학습 지도에의 시사점)

  • Yim, Jaehoon
    • Journal of Elementary Mathematics Education in Korea
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    • v.23 no.3
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    • pp.273-288
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    • 2019
  • This study focuses on understanding proportionality, in particular, what constitutes relational understanding of a:b=c:d, which is called proportional expression. The meanings of a:b=c:d are analyzed and some suggestions are offered for improving the teaching and learning of it. The equation a:b=c:d has three different meanings. First, it represents two different structures in one proportional situation. Second, it represents a common structure in two different proportional situations. Finally, it represents a number or a quantity underlying in different proportional situations. It is important to choose and use a unit flexibly to understand the first and the second meanings of a:b=c:d, Double strip diagram and double number line are useful to visualize the meanings of a:b=c:d. In addition, what a number or a quantity in the third meaning of a:b=c:d refers to in proportional situations should be emphasized in teaching and learning of a:b=c:d.

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A Study of Pre-trained Language Models for Korean Language Generation (한국어 자연어생성에 적합한 사전훈련 언어모델 특성 연구)

  • Song, Minchae;Shin, Kyung-shik
    • Journal of Intelligence and Information Systems
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    • v.28 no.4
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    • pp.309-328
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    • 2022
  • This study empirically analyzed a Korean pre-trained language models (PLMs) designed for natural language generation. The performance of two PLMs - BART and GPT - at the task of abstractive text summarization was compared. To investigate how performance depends on the characteristics of the inference data, ten different document types, containing six types of informational content and creation content, were considered. It was found that BART (which can both generate and understand natural language) performed better than GPT (which can only generate). Upon more detailed examination of the effect of inference data characteristics, the performance of GPT was found to be proportional to the length of the input text. However, even for the longest documents (with optimal GPT performance), BART still out-performed GPT, suggesting that the greatest influence on downstream performance is not the size of the training data or PLMs parameters but the structural suitability of the PLMs for the applied downstream task. The performance of different PLMs was also compared through analyzing parts of speech (POS) shares. BART's performance was inversely related to the proportion of prefixes, adjectives, adverbs and verbs but positively related to that of nouns. This result emphasizes the importance of taking the inference data's characteristics into account when fine-tuning a PLMs for its intended downstream task.

Development of a Fuzzy-Genetic Algorithm-based Incident Detection Model with Self-adaptation Capability (Fuzzy-Genetic Algorithm기반의 자가적응형 돌발상황 검지모형 개발 연구)

  • Lee, Si-Bok;Kim, Young-Ho
    • Journal of Korean Society of Transportation
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    • v.22 no.4 s.75
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    • pp.159-173
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    • 2004
  • This study utilizes the fuzzy logic and genetic algorithm to improve the existing incident detection models by addressing the problems associated with "crisp" thresholds and model transferability (applicability). The model's major components were designed to be a set of the fuzzy inference engines, and for the self-adaptation capability the genetic algorithm was introduced in optimization(or training) of the fuzzy membership functions. This approach is often called "the hybrid of fuzzy-genetic algorithm" The model performance was tested and found to be compatible with that of the existing well-recognized models in terms of performance measures such as detection rate, false alarm rate, and detection time. This study was not an effort for simple improvement of the model performance, but an experimental attempt to incorporate new characteristics essential for the incident detection model to be universally applicable for various roadway and traffic conditions. The study results prove that the initial objective of the study was satisfied, and suggest a direction that the future research work in this area must follow.

나선 은하의 화학적 진화 : 우리 은하의 초기 질량함수와 별탄생율

  • An, Hong-Bae;Im, Jeong-Ae;Gang, Yong-Hui
    • Publications of The Korean Astronomical Society
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    • v.6 no.1
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    • pp.1-15
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    • 1991
  • 원반 및 해일로의 이중역 (two-zone) 모형을 바탕으로하여 나선은하의 화학적 진화 모형을 만들었다. 모형의 검증을 위하여 구체적인 수치계산을 수행하고 그 결과를 태양 부근에서 관측된 중원소 분포 등, 화학적 진화와 관련된 제반 관측 사실과 비교함으로써 은하계의 진화를 추론하였다. 모형의 수치계산 결과에 의하면 나선은하의 화학적 진화는 헤일로외 붕괴 과정과 별탄생율에 크게 의존하며, 원반의 초기질량함수와 별탄생율에 따라 서로 다른 양상을 보인다. 태양 부근 원반의 중원소 분포 등을 성공적으로 설명할 수 있는 진화 모형에서, 별탄생율은 가스의 질량 또는 표면밀도의 멱승에 비례하거나 시간에 따라 단조 감소하는 지수함수로써 표현되며, 초기질량함수는 헤일로에서는 다양한 형태의 함수 모두로써 가능하지만, 원반의 경우에는 시간에 따라 변화하는 질량함수를 채택하여야 한다. 우리 은하의 헤일로의 고속붕괴 모형에서는 시간에 따라 지수함수로 변화하는 별탄생율이 관측과 부하되지만, 반면 저속붕괴의 경우에는 가스 질량의 멱함수로 표현되는 별탄생율이 관측과 부합된다.

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퍼지 간접추론법에 의한 비례-적분-미분 제어기의 점진적 자기동조

  • 김성동
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 1992.10a
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    • pp.182-186
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    • 1992
  • A self tuning technique is derived for PID controllers which are widely used in industries. The tuning algorithm is based upon a fuzzy indirect reasoning method and an iterative technique. The fuzzy technique is considered to obtain ease and simplicity of tuning process. The PID gains for the first tuning action are determined by a method which is modified from the Ziegler-Nichols step response method. The first PID gains are determined to obtain a control performance so close to a design performance that the followed tuning process can be made effectively. The design parameters are given as time-domain variables which human is familiar with. The results of simulation studies show that the proped tuning method can produce an effective tuning for arbitaray design performances.

On the Algebraic Concepts in Euclid's Elements (유클리드의 원론에 나타난 대수적 개념에 대하여)

  • 홍진곤;권석일
    • Journal for History of Mathematics
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    • v.17 no.3
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    • pp.23-32
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    • 2004
  • In this paper, Ive investigated algebraic concepts which are contained in Euclid's Elements. In the Books II, V, and VII∼X of Elements, there are concepts of quadratic equation, ratio, irrational numbers, and so on. We also analyzed them for mathematical meaning with modem symbols and terms. From this, we can find the essence of the genesis of algebra, and the implications for students' mathematization through the experience of the situation where mathematics was made at first.

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