• Title/Summary/Keyword: real number introduction

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The algebraic completion of the rational numbers based on ATD (ATD에 근거한 유리수의 대수학적 completion에 관한 연구)

  • Kim, Boo-Yoon;Chung, Gyeong-Mee
    • The Mathematical Education
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    • v.50 no.2
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    • pp.135-148
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    • 2011
  • We can say that the history of mathematics is the history on the development of the number system. The number starts from Natural number and is constructed to Integer number and Rational number. The Rational number is not the complete number analytically so that Real number is completed by the idea of the nested interval method. Real number is completed analytically, however, is not by algebra, so the algebraically completed type of the rational number, through the way that similar to the process of completing real number, is Complex number. The purpose of this study is to show the most appropriate way for the development of the human being thinking about the teaching and leaning of Complex number. To do this, We have to consider the proof of the existence of Complex number, the background of the introduction of Complex number and the background knowledge that the teachers to teach Complex number should have. Also, this study analyzes the knowledge to be taught of Complex number based on the anthropological theory of didactics and finally presents the teaching method of Complex number based on this theory.

AI, big data, and robots for the evolution of biotechnology

  • Kim, Haseong
    • Genomics & Informatics
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    • v.17 no.4
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    • pp.44.1-44.3
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    • 2019
  • Artificial intelligence (AI), big data, and ubiquitous robotic companions -the three most notable technologies of the 4th Industrial Revolution-are receiving renewed attention each day. Technologies that can be experienced in daily life, such as autonomous navigation, real-time translators, and voice recognition services, are already being commercialized in the field of information technology. In the biosciences field in Korea, such technologies have become known to the local public with the introduction of the AI doctor Watson in large number of hospitals. Additionally, AlphaFold, a technology resembling the AI AlphaGo for the game Go, has surpassed the limit on protein folding predictions-the most challenging problems in the field of protein biology. This report discusses the significance of AI technology and big data on the bioscience field. The introduction of automated robots in this field is not just only for the purpose of convenience but a prerequisite for the real sense of AI and the consequent accumulation of basic scientific knowledge.

Teaching and Learning Irrational Number with Its Conceptual Aspects Stressed : Consideration of Irrational Number through the Conception of 'Incommensurability' (무리수의 개념적 측면을 강조한 교육방안: '통약불가능성'을 통한 무리수 고찰)

  • 변희현;박선용
    • School Mathematics
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    • v.4 no.4
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    • pp.643-655
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    • 2002
  • In this paper we emphasize the introduction of ‘incommensurability’ on the teaching and learning the irrational number because we think of the origin of number as ‘ratio’. According to Greek classification of continuity as a ‘never ending’ divisibility, discrete number and continuous magnitude belong to another classes. That is, those components were dealt with respectively in category of arithmetic and that of geometry. But the comparison between magnitudes in terms of their ratios took the opportunity to relate ratios of magnitudes with numerical ratios. And at last Stevin coped with discrete and continuous quantity at the same time, using his instrumental decimal notation. We pay attention to the fact that Stevin constructed his number conception in reflecting the practice of measurement : He substituted ‘subdivision of units’ for ‘divisibility of quantities’. Number was the result of such a reflective abstraction. In other words, number was invented by regulation of measurement. Therefore, we suggest decimal representation from the point of measurement, considering the foregoing historical development of number. From the perspective that the conception of real number originated from measurement of ‘continuum’ and infinite decimals played a significant role in the ‘representation’ of measurement, decimal expression of real number should be introduced through contexts of measurement instead of being introduced as a result of algorithm.

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An Analysis on the Naturalness of Natural Logarithm and its Educational Implication (자연로그의 자연스러움에 대한 분석과 그에 따른 교육적 시사점)

  • Park, Sun-Yong
    • Journal for History of Mathematics
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    • v.32 no.3
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    • pp.109-134
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    • 2019
  • In order to improve the educational situation in which the natural number e and the natural logarithm are dealt with somewhat perfunctorily, this study explores the genetic process in which the natural logarithm and its base e occurred, and has an educational discussion based on that analysed process. Specifically, the study inquires into how the natural logarithm happened in relation to the quadrature of the hyperbolic curves through analysis and thought experimentation in mathematics history. Particularly, it sheds light on the role of e and the naturalness of the natural logarithm in terms of the introduction of the real number exponent. Also, this study discusses what the findings suggest educationally.

Construction Safety Management Framework based on Smart Mobile

  • Park, Moon-Seo;Kim, Eui-Jun;Lee, Hyoo-Soo;Lee, Kwang-Pyo
    • Journal of Construction Engineering and Project Management
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    • v.2 no.3
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    • pp.48-57
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    • 2012
  • With increasing number of serious construction disasters such as death, a safety management in real-time is more required recently. One of the ways to support the needs, a convergence with Information Technology (IT) has been noticed. Although number of inefficiencies including a limitation of IT equipment (weight, control inconveniences) has been concerned, data exchanging and processing fields have been improved at a wide range with an advance of mobile communication and an introduction of smart mobiles that are simple and convenient. In this research, a framework is realized in connection with smart mobile to find the problems of current safety management and derive demands in order to support effective safety management. Two smart mobile applications, Safety Management application and Safety Guideline application, enable a real-time safety management and less re-work by provided safety information.

An Efficient Algorithm for Real-Time 3D Terrain Walkthrough

  • Hesse, Michael;Gavrilova, Marina L.
    • International Journal of CAD/CAM
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    • v.3 no.1_2
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    • pp.111-117
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    • 2003
  • The paper presents an efficient algorithm based on ROAM for visualization of large scale terrain models in real-time. The quality and smoothness of the terrain data visualization within a 3D interactive environment is preserved, while the complexity of the algorithm is kept on a reasonable level. The main contribution of the paper is an introduction of a number of efficient techniques such as implicit coordinates method within the patch array representing ROAM and the viewpoint dependent triangle rendering method for dynamic level of detail (LOD) updates. In addition, the paper presents experimental comparison of a variety of culling techniques, including a newly introduced method: relational position culling. These techniques are incorporated in the visualization software, which allows to achieve more realistic terrain representation and the real-time level of detail reduction.

Number Portability Introduction Way Between $3G\rightarrow2G$ ($2G{\rightarrow}3G$간 번호이동성 도입 방안)

  • Choi Seung-Gwon;Lee Byeong-Rok;Ji Hong-Il;Choi Woon-Soo;Jo Yong-Hwan
    • Proceedings of the Korea Contents Association Conference
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    • 2005.11a
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    • pp.210-218
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    • 2005
  • Recently, customers can select various service providers using number portability according to given select options such as quality of service and fare organization. Therefore it is possible that subscriber maintenance and quality competition are converted to fare competition which is real competition concept. However, it is time that we need number portability between $2G{\rightarrow}3G$ for activating 3G services because some important issues are closed such as domestic number portability, WiBro service provider selection. In this paper, we proposed applying method and necessity of $2G{\rightarrow}3G$ number portability Also, we analyzed $2G{\rightarrow}3G$ number portability examples of domestic and foreign countries and domestic market situation about abstract of 3G mobile communication service and number portability introduction between $2G{\rightarrow}3G$ for 3G service activation appearing newly in this research.

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Nonlinear Approximations Using RBF Neural Networks (RBF 신경망을 이용한 비선형 근사)

  • 박주영
    • Journal of the Korean Institute of Intelligent Systems
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    • v.6 no.2
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    • pp.26-35
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    • 1996
  • In this paper, some fundamental problems concerning RBF(radial-basis-function) networks and approximation of functions are addressed. First, a comprehensive introduction to RBF networks is given with typical RBF networks classified into three classes. Next, sharp conditions are given under which continuous functions of a finite number of real variables can be approximated arbitrarily well by a certain class of RBF networks. Finally, a related result is given concerning the representation of functions in the form of distributed RBF networks.

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A Study of the Elementary School Teachers' Perception about Problem Situations in Real-Life Context of Subtraction of Natural Numbers (자연수 뺄셈의 실생활 맥락 문제 상황에 대한 초등교사의 인식)

  • Do, Joowon
    • Education of Primary School Mathematics
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    • v.25 no.2
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    • pp.197-211
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    • 2022
  • In this study, we tried to find a way to improve the pedagogical decision-making practices related to the presentation order of 'large number' and 'small number' in problem situations of subtraction of the natural number. For this purpose, the elementary school teachers' perception about problem situations in real-life context of subtraction of natural numbers was investigated, and the collected data were analyzed qualitatively and quantitatively to identify teachers' pedagogical perceptions. As a result of this study, it was confirmed the need for consideration on how to set up a problem situations in real-life context of subtraction so that students can develop their ability to solve various types of problems. To this end, not only in a problem situation of subtraction where you have to think of 'large number' first and 'small number' later, but also about the introduction of problem situations in real-life context of subtraction in which you think about 'small number' first and 'large number' later, which often appears in real-life. You will need to recognize the need. And you should have a pedagogical view on this. The results of this study will be able to contribute to the preparation of pedagogical method that can expand the understanding of various problem situations where subtraction is applied from the lower grades of elementary school.

A Survey of Real-time Road Detection Techniques Using Visual Color Sensor

  • Hong, Gwang-Soo;Kim, Byung-Gyu;Dogra, Debi Prosad;Roy, Partha Pratim
    • Journal of Multimedia Information System
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    • v.5 no.1
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    • pp.9-14
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    • 2018
  • A road recognition system or Lane departure warning system is an early stage technology that has been commercialized as early as 10 years but can be optional and used as an expensive premium vehicle, with a very small number of users. Since the system installed on a vehicle should not be error prone and operate reliably, the introduction of robust feature extraction and tracking techniques requires the development of algorithms that can provide reliable information. In this paper, we investigate and analyze various real-time road detection algorithms based on color information. Through these analyses, we would like to suggest the algorithms that are actually applicable.