• Title/Summary/Keyword: 사칙계산

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Binary Tree Line Calculator (이진 트리 라인 계산기)

  • Ra, Gyungjun;Lee, Deokwoo
    • Proceedings of the Korean Society of Broadcast Engineers Conference
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    • fall
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    • pp.149-151
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    • 2021
  • 최근 Kotlin, Swift 와 같은 목표 기능에대해 최적화된 다양한 고급 컴퓨터 언어들이 출범함에 따라 이에대한 중요도와 이해력이 필요하다. 그에따라 고급 컴퓨터 언어 제작의 프로토타입 제작에 의의를 두고, 전세계 사람들에게 통용되는 사칙연산에 기반한 수학기호 코드 언어를 해석하는 프로그램을 구현한다. 단순한 계산기라기보다는. 수학기호 문자를 컴파일하여 프로세스로 변환하는 컴파일러로 접근하고 특성파악, 구상, 구현 과정을거쳐 본 프로그램을 제작하고 고급 컴퓨터 언어에 대한 저자의 이해를 서술한다.

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A Study of the Representation and Algorithms of Western Mathematics Reflected on the Algebra Domains of Chosun-Sanhak in the 18th Century (18세기 조선산학서의 대수 영역에 나타난 서양수학 표현 및 계산법 연구)

  • Choi, Eunah
    • Journal of the Korean School Mathematics Society
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    • v.23 no.1
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    • pp.25-44
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    • 2020
  • This study investigated the representation and algorithms of western mathematics reflected on the algebra domains of Chosun-Sanhak in the 18th century. I also analyzed the co-occurrences and replacement phenomenon between western algorithms and traditional algorithms. For this purpose, I analyzed nine Chosun mathematics books in the 18th century, including Gusuryak and Gosasibijip. The results of this study are as follows. First, I identified the process of changing to a calculation by writing of western mathematics, from traditional four arithmetical operations using Sandae and the formalized explanation for the proportional concept and proportional expression. Second, I observed the gradual formalization of mathematical representation of the solution for a simultaneous linear equation. Lastly, I identified the change of the solution for square root from traditional Gaebangsul and Jeungseunggaebangbeop to a calculation by the writing of western mathematics.

The Study on Transition of Mathematics Textbooks in North Korea -Focused on the contents of Fraction- (북한 수학 교과서 내용 변화에 대한 분석 - 분수 지도 내용 중심으로 -)

  • Park Moon-Hwan
    • School Mathematics
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    • v.8 no.2
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    • pp.139-160
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    • 2006
  • It seems that North Korea has been trying to reorganize its educational system as well as its economic system on a large scale since July 1, 2002. There has been a decrease in quantity of math textbooks by about 30% decrease. Until the 1990's, geometry and algebra had been kept apart from each other in North Korea, but they are put together now. Moreover many changes have been made in both contents and methods of teaching. For example, an area model is used in North Korea to teach operation of fraction, which makes the learning period shorter. This idea will provide us with many implication when we need to ready for decreasing the quantities in the future. Moreover teaching methods of division algorithms need to be reconsidered since the visual algorithm of division could help save the thinking in problem solving.

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Implementation of Calculation System based on Asynchronously Web Service (비동기 웹 서비스 기반 계산 시스템의 구현)

  • Park, Jae-Hun;Park, Yeo-Sam;Yoo, Jae-Kyu;Jeong, Young-Sik;Han, Sung-Kook
    • Proceedings of the Korean Information Science Society Conference
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    • 2007.06c
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    • pp.324-327
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    • 2007
  • 현재의 웹 서비스 표준 기술은 XML, SOAP, WSDL, 그리고 UDDI를 중심으로 매우 기본적인 상호작용 모델을 가지고 있다. 위의 기술들을 이용해 단일 웹 서비스에 대한 정의와 비즈니스 레지스트리에 등록된 웹 서비스를 이용할 수 있다. 현재 일반적으로 개발되고 사용되고 있는 웹 서비스는 사용자의 요청이 발생하면 작업처리의 결과를 반환할 때까지 기다리는 동기적인 방식을 사용하고 있다. 즉, 사용자가 처리요청을 하면 그 결과가 반환될 때까지 기다리는 동안 손실이 발생하게 된다. 본 논문에서는 동기식 웹 서비스로 인해 발생할 수 있는 손실을 최소화 할 수 있는 비동기 웹 서비스를 시스템에 접목한다. 간단한 사칙연산을 동시에 비동기 방식으로 호출하는 웹 서비스의 구현을 통해 다른 영역에도 적용할 수 있는 기반 시스템을 구축한다.

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구장산술을 활용한 수학 교육 -분수의 사칙 계산과 관련하여-

  • 장혜원
    • Journal for History of Mathematics
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    • v.15 no.2
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    • pp.101-112
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    • 2002
  • Gu-Jang-San-Sul is a book of Chinese ancient mathematics and has had an impact on Korean mathematics. The book is organized into nine chapters and each chapter is composed of problems, answers, and their computation algorithms. The contents reflect the practicality of Chinese mathematics. Especially the first chapter covers the computation of fractions for land surveying. This paper suggests how the computation methodology is used in teaching fractions for primary school students. Five strategies for fractions related to the reduction, addition, subtraction, multiplication, and division are followed by: 1) developing the ability to apply rules to problems by practicing the computation process according to the given algorithm; 2) developing the communication skill by comparing the differences of various computation algorithms; 3) setting computation problems; 4) understanding the characteristics of terminology in mathematics; and 5) being exposed to new ideas in mathematics.

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A Hybrid Generation Method of Visual Effects for Mobile Entertainment Applications (모바일 엔터테인먼트 애플리케이션을 위한 혼합적 시각 효과 생성 방법)

  • Kim, Byung-Cheol
    • Journal of Digital Convergence
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    • v.13 no.12
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    • pp.367-380
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    • 2015
  • This paper proposes a hybrid rendering method which combines pre-computed global illumination results and interactive local illumination techniques and thus could interactively produce photo-realistic visual effects for mobile entertainment applications. The proposed method uses the programmable shading capability of OpenGL, a de facto standard for computer graphics library so that it can be deployed in a real-world development environment. Also, it increases the rendering time by a negligible amount compared to normal rendering time since the pre-computed results are used as operands of plain arithmetic operations. Therefore it is expected to be applicable in practice for mobiles games which require real-time responsiveness to users.

The Origin and Instruction of Computational Errors with Zero (0처리 오류의 기원 및 0의 지도)

  • Kim, Soo-Mi
    • School Mathematics
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    • v.8 no.4
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    • pp.397-415
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    • 2006
  • This paper is to find out the reason why students often make mistakes with 0 during computation and to get some instructional implication. For this, history of 0 is reviewed and mathematics textbook and workbook are analyzed. History of 0 tells us that the ancients had almost the same problem with 0 as we have. So we can guess children's problems with 0 have a kind of epistemological obstacles. And textbook analysis tells us that there are some instructional problems with 0 in textbooks: method and time of introducing 0, method of introducing computational algorithms, implicit teaching of the number facts with 0, ignoring the problems which can give rise to errors with 0. Finally, As a reult of analysis of Japanese and German textbooks, three instructional implications are induced:(i) emphasis of role of 0 as a place holder in decimal numeration system (ii) explicit and systematic teaching of the process and product of calculation with 0 (iii) giving practice of problems which can give rise to errors with 0 for prevention of systematical errors with 0.

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A Study on Textbooks of South Korea, Singapore, and Japan Focused on the Teaching of the Time (시간 지도에 관한 초등수학교과서 비교 연구 - 한국, 싱가포르, 일본을 중심으로 -)

  • Cho, Young-Mi;Lim, Sun-Hye
    • Journal of Elementary Mathematics Education in Korea
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    • v.14 no.2
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    • pp.421-440
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    • 2010
  • Our country has excessive amount of learning per hour compared with Japan and Singapore. And as there is no consistence for definition of time between grades, it deteriorates understanding of students. Our country teaches students focusing on time algorism whereas Japan and Singapore teaches their students focusing on flow of time. In composing of mathematics textbook in Korea, Japan and Singapore, textbook of our country contains far more of learning compared with the amount designated in textbooks. Textbooks of Japan contains less teaching elements, but instead it contains much activities to expedite time sense As time is distributed in activities of students, it is more important to construct textbooks with experience of students rather than algorism approaches. In addition, textbooks of Singapore contains various examples and clarified concepts compared with those of our country. Like above, time teaching deployment methods of Japan and Singapore gives us good lessons for teaching time in our country, and it is expected be good reference for future development of our textbooks.

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Approximated MAP Algorithm for Gray Coded QAM Signals (Gray 부호화된 QAM 신호를 위한 근사화된 MAP 알고리듬)

  • Hyun, Kwang-Min
    • Journal of the Korea Academia-Industrial cooperation Society
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    • v.10 no.12
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    • pp.3702-3707
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    • 2009
  • In this paper, a new approximated MAP algorithm for soft bit decision from QAM symbols is proposed for Gray Coded QAM signals, based on the Max-Log-MAP and a Gray coded QAM signal can be separated into independent two Gray coded PAM signal, M-PAM on I axis with M symbols and N-PAM on Q axis with N symbols. The Max-Log-MAP used distance comparisons between symbols to get the soft bit decision instead of mathematical exponential or logarithm functions. But in accordance with the increase of the number of symbols, the number of comparisons also increase with high complexity. The proposed algorithm is used with the Euclidean distance and constituted with plain arithmetic functions, thus we can know intuitively that the algorithm has low implementing complexity comparing to conventional ones.

A Study on Possibility of Teaching Complex Numbers from Geometric Aspect (기하학적 측면에서 복소수의 지도가능성 고찰)

  • Lee, Dong-Hwan
    • Journal of Educational Research in Mathematics
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    • v.18 no.1
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    • pp.51-62
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    • 2008
  • In the 7th-curriculum, only basic arithmetics of complex numbers have been taught. They are taught formally like literal manipulations. This paper analyzes mathematically essential relations between algebra of complex numbers and plane geometry. Historical analysis is also performed to find effective methods of teaching complex numbers in school mathematics. As a result, we can integrates this analysis with school mathematics by help of Viete's operations on right triangles. We conclude that teaching geometric interpretation of complex numbers is possible in school mathematics.

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