• Title/Summary/Keyword: 3진법 표현

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Mathematical Exploration of Counterweight Activities (분동을 활용한 문제의 수학적 탐구)

  • Kim, Sang-Lyong
    • Journal of Elementary Mathematics Education in Korea
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    • v.14 no.1
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    • pp.123-134
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    • 2010
  • Recently, mathematics education have been emphasized on developing students' mathematical thinking and problem solving abilities. Accordance with this emphasis, dramatical changes are needed in learning mathematics not merely let alone students solve real-made mathematics problems. The project learning to explore a counterweight activity will have an effects on positive mathematical attitude(to pose problem, to have curiosity) and mathematical thinking(power 10-digit representation, 2-digit number, two representation of 3-digit number, connect exponential number and log situation) which could develop understanding problems and critical thinking.

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The Study of the Extension of the Scale of Notation by Analogy and the Notation in History (역사 속의 진법과 유추를 통한 진법의 확장에 대한 연구)

  • Suh, Bo-Euk
    • Journal for History of Mathematics
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    • v.22 no.3
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    • pp.187-206
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    • 2009
  • On this study, the historical flow of the notation was briefly examined and the direction of mathematical investigation activity of the content of notation by analogy was explored and teaching learning materials were developed. Diverse mathematical facts were investigated on the basis of decimal system and binary system which are learned in middle school. First, the way of progressing analytic activity with algebraic material was examined. Second, on the basis of the notation which are learned in the first grade of middle school, the definition of the scale of a -notation, -a -notation, $\frac{1}{a}$notation, $\sqrt{a}$-notation was extended by analogy. The result of this study will be expected to establish the curriculum of mathematics and provide teaching and learning with the meaningful current events.

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A Study on the Expression of Numerical Data by the KAS Multimedia Tool (멀티미디어 저작도구 카스에 의한 수치데이터 표현에 관한 연구)

  • 김상호;이영욱
    • Journal of the Korea Society of Computer and Information
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    • v.4 no.3
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    • pp.1-7
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    • 1999
  • This study is to design and implement the synthetic courseware that covers repeating learning, individual teaching, and effective teaching-learning games by using multimedia authoring tool KAS for numerical data of computer science which is especially a little boring and difficult to understand through blackboard-based lesson for senior high school students. It also overcomes the drawbacks of the existing CAI focused on text and image by combining various kinds of media like image, animation and sound effects. Animation of numerical data in the fields of radix conversion makes it possible for learners to check the individual learning process and visual interest. So it comes to increase the effectiveness of learning. Whenever each chapter is finished. learners' understanding can be evaluated by formative test. Applicability test of the developed CAI in Eumsung Senior High School. is statistically evaluated as more effective than that of the blackboard-based lesson.

A New Flash A/D Converter Adopting Double Base Number System (2개의 밑수를 이용한 Flash A/D 변환기)

  • Kim, Jong-Soo;Kim, Man-Ho;Jang, Eun-Hwa
    • Journal of the Institute of Convergence Signal Processing
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    • v.9 no.1
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    • pp.54-61
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    • 2008
  • This paper presents a new TIQ based CMOS flash 6-bit ADC to process digital signal in real time. In order to improve the conversion speed of ADC by designing new logic or layout of ADC circuits, a new design method is proposed in encoding logic circuits. The proposed encoding circuits convert analog input into digitally encoded double base number system(DBNS), which uses two bases unlike the normal binary representation scheme. The DBNS adopts binary and ternary radix to enhance digital arithmetic processing capability. In the DBNS, the addition and multiplication can be processed with just shift operations only. Finding near canonical representation is the most important work in general DBNS. But the main disadvantage of DBNS representation in ADC is the fan-in problem. Thus, an equal distribution algorithm is developed to solve the fan-in problem after assignment the prime numbers first. The conversion speed of simulation result was 1.6 GSPS, at 1.8V power with the Magna $0.18{\mu}m$ CMOS process, and the maximum power consumption was 38.71mW.

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Efficient Computation of Square Roots in Finite Fields $F{_p}{^{k}}$ (유한체 $F{_p}{^{k}}$에서 효율적으로 제곱근을 구하는 알고리즘들)

  • Han, Dong-Guk;Choi, Doo-Ho;Kim, Ho-Won;Lim, Jong-In
    • Journal of the Korea Institute of Information Security & Cryptology
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    • v.18 no.6A
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    • pp.3-15
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    • 2008
  • In this paper we study exponentiation in finite fields $F{_p}{^{k}}$(k is odd) with very special exponents such as they occur in algorithms for computing square roots. Our algorithmic approach improves the corresponding exponentiation independent of the characteristic of $F{_p}{^{k}}$. To the best of our knowledge, it is the first major improvement to the Tonelli-Shanks algorithm, for example, the number of multiplications can be reduced to at least 60% on average when $p{\equiv}1$ (mod 16). Several numerical examples are given that show the speed-up of the proposed methods.

Iconography and Symbols of the Gwandeokjeong Pavilion Murals in Jeju (제주 관덕정(觀德亭) 벽화의 도상과 표상)

  • Kang, Yeongju
    • Korean Journal of Heritage: History & Science
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    • v.53 no.3
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    • pp.258-277
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    • 2020
  • The purpose of this paper is to examine the paintings and symbols of the Jeju Guandeokjeong murals, Treasure No. 322. Gwandeokjeong Pavilion in Jeju is one of the oldest buildings in Jeju and was built in 1448 during the reign of King Sejong (世宗) of the Joseon Dynasty to serve as a training ground for soldiers. Unlike Gwandeokjeong Pavilions in other regions, Jeju's Gwandeokjeong Pavilion has a long history and is of cultural value due to its beautiful architecture. In addition, it contains various murals which are a further source of attention. There are four murals on the front and back of the two Lintels on the left and right sides of the building. Their contents include of 『The Three Kingdoms (三國志)』 and and on the back. Towards the right, is depicted, with on the back. Based on a replica of the murals from 1976, the plan, style, and age of the Gwandeokjeong Pavilion murals have been studied, together with their meanings. The contents of the mural are broadly divided into five parts, which are identified by the tacit signatures atop the screen, which provide such details as the painting titles. The paintings on the left and right sides of the center appear to inspire the spirit of the military's commerce in order to boost soldiers' morale, protect the country, and protect the people in line with the purpose of Gwandeokjeong Pavilion. The following and figuratively depict guidelines for the behavior and mindset of officials. In particular, is a painting concerned with concepts of longevity and an auspicious (吉祥), which shows how court paintings became popular as folk paintings at that time. The paintings of tangerines and other specialties of Jeju Island, the ritual paintings of Jeokbyeokdaejeon, and the expressions of Mt. Halla (漢拏山) and Oreum (오름) indicate the existence of Jeju artists that belonged to the Jeju government office at that time. The five themes and styles of the murals also show that the murals of Gwandeokjeong Pavilion were produced in the late 19th and early 20th centuries.