• 제목/요약/키워드: mathematical content

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Wavelet 변환을 이용한 고장전류의 판별에 관한 연구 (A Study on the Application of Wavelet Transform to Faults Current Discrimination)

  • 조현우;정종원;윤기영;김태우;이준탁
    • 한국마린엔지니어링학회:학술대회논문집
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    • 한국마린엔지니어링학회 2002년도 춘계학술대회논문집
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    • pp.213-217
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    • 2002
  • Recently the subject of "wavelet analysis" has be drawn by both mathematical and engineering application fields such as Signal Processing, Compression/Decomposition, Wavelet-Neural Network, Statistics and etc. Even though its similar to courier analysis, wavelet is a versatile tool with much mathematical content and great potential for applications. Especially, wavelet transform uses localizable various mother wavelet functions in time-frequency domain. Therefore, wavelet transform has good time-analysis ability for high frequency component, and has good frequency-analysis ability for low frequency component. Using the discriminative ability is more easy method than other conventional techniques. In this paper, Morlet wavelet transform was applied to discriminate the kind of line fault by acquired data from real power transformation network. The experimental result presented that Morlet wavelet transform is easier, and more useful method than the FFW (Fast courier Transform).ransform).

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INTEGRATED RATE SPACE ∫ ℓπ

  • Subramanian, N.;Rao, K. Chandrasekhara;Gurumoorthy, N.
    • 대한수학회논문집
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    • 제22권4호
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    • pp.527-534
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    • 2007
  • This paper deals with the BK-AK property of the integrated rate space ${\int}{\ell}_{\pi}$. Importance of ${\delta}^{(k)}$ in this content is pointed out. We investigate a determining set for the integrated rate space ${\int}{\ell}_{\pi}$. The set of all infinite matrices transforming ${\int}{\ell}_{\pi}$, into BK-AK space Y is denoted $({\int}{\ell}_{\pi}:\;Y)$. We characterize the classes $({\int}{\ell}_{\pi}:\;Y)$. When $Y={\ell}_{\infty},\;c_0,\;c,\;{\ell}^p,\;bv,\;bv_0,\;bs,\;cs,\;{\ell}_p,\;{\ell}_{\pi}$. In summary we have the following table:

A New Start into Mathematics: A Project Concerning the Education of Mathematics Teachers for Primary Schools in Germany

  • Albers, Reimund;Peitgen, Heinz-Otto
    • 한국수학교육학회지시리즈D:수학교육연구
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    • 제14권2호
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    • pp.115-122
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    • 2010
  • The education of teachers in mathematics consists of two parts: enhancing the math-skills of the students and education in didactics. Mainly the math is taught in lessons for 50 to 100 students or even more. This has wrong influence to the teaching style and the attitude towards mathematics. This paper reports about a project, where active schoolteachers are involved in teaching the mathematics content. This is done in workshops, where the teaching can be a model for teaching a class. In addition there is the chance to inspire the students for mathematics.

초등학교 수학 교과서 내용 적정성 분석 - 단원 구성 및 어휘 사용을 중심으로 - (A study to analyze the adequacy of elementary school mathematics textbooks - Based on the unit structure and vocabulary -)

  • 권점례
    • 한국수학교육학회지시리즈A:수학교육
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    • 제55권3호
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    • pp.281-297
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    • 2016
  • There has being developed elementary mathematics textbooks currently based on the 2015 revised mathematics curriculum. Vocabularies used in mathematics textbooks are mainly determined by the authors to develop textbooks. The purpose of this study was to investigate the adequacy of elementary school mathematics textbooks based on the unit structure and vocabulary, and to provide implications for elementary mathematics textbooks which is currently in development, in accordance with the 2015 revised curriculum. As a result, there were found some problems in the unit structure and vocabulary of elementary mathematics textbooks.

A Study of Curriculum Development for Mathematically Gifted Students

  • Choe, Young-Han
    • 한국수학교육학회지시리즈D:수학교육연구
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    • 제1권1호
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    • pp.95-106
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    • 1997
  • Even though there are extracurricular mathematics classes for gifted students in all levels of schools in Korea, teachers cannot conduct the classes properly because the contents of the textbook are not adequate for the purpose of the classes. So, what they tend to do in the classes is just drilling with many problems which have already shown up at university entrance examinations and various mathematics competitions. The purpose of this paper is to give an example of what the content should be in "Mathematics III" (an elective subject for the science high school students according to the fifth and sixth amendment of national curriculum) and to suggest how to design the extracurricular classes for gifted students. Extracurricular classes of the ordinary secondary school as well as the elective course for the science high school can be suitably designed with choices of topics in the contents of Mathematics III.

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각뿔과 각뿔대의 부피에 대하여 산학서("산학정의(算學正義)(상편(上編))", "구장술해(九章術解)")와 한국.중국수학교과서와의 내용 비교연구

  • 박영식;최길남
    • East Asian mathematical journal
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    • 제26권4호
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    • pp.535-551
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    • 2010
  • In this paper, we investigate the methodology to calculate the volume of the pyramid and frustum of the pyramid that is found in Gu Jang Sel Hae and San Hak Jeong Ui(The first volume)text. Comparing and analyzing content in Korean and Chinese mathematics education textbooks that uses as a foundation the aforementioned methodology, it is proposed that in future development of mathematics education curriculum the area of solid geometry be taught in greater depth in basic study guides.

A Comparison between Editions A and B of Experimental Textbooks in Ordinary Senior High Schools in China

  • Jin, Meiyue;Jia, Ping
    • 한국수학교육학회지시리즈D:수학교육연구
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    • 제11권3호
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    • pp.185-196
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    • 2007
  • In order to study the new curriculum, as well as to help teachers understand new textbooks well, the authors make horizontal comparisons between Editions A and B of Experimental Mathematics (2) textbook in ordinary senior high schools (Grades 10-12) of PEP Edition, which focuses on the topic of line slope. The interview was made with 11 selected teachers who are teaching the content in the light of Edition B. It was found that there are obvious differences in the introduction of concepts and the exercises. The interviews showed that teachers were familiar to the contents of Edition A and saw it reasonable, because few differences are found between Edition A and the old Edition. The teachers also viewed that though the contents of Edition B were easy and fit to self-educated, but its reasoning is not clear, and the examples are not enough so that the teachers need to add additional examples.

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1학년 수와 연산 영역에서 학습자의 오류 분석을 통한 교과서 재구성 방안

  • 최호희;최창우
    • East Asian mathematical journal
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    • 제27권2호
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    • pp.163-180
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    • 2011
  • The purpose of this study is to look for the plan of reconstructing a textbook through error analysis and the process of its correction in numbers and operations of the first grade. The Research materials are collected and analyzed through the journal about every lessons, the recording sheets of students' activity, the recording videotapes during lessons, the individual interview and observation. This study investigated 4 errors which are useful for reconstructing textbook, the errors of understanding relation between numerical expression and number line, the errors of drawing-strategy, the errors of understanding relation between additive expression and subtractive expression, the errors of subtraction has to be regrouped. The errors are classified into some types and analyzed focusing on content of each error. Reinstructing are carried out based on material analyzed for correcting errors.

부하 판별을 위한 Wavelet 변환의 응용에 관한 연구 (A Study on Application of Wavelet Transform to Electrical Load Discriminations)

  • 정종원;김민성;김태홍;이준탁
    • 한국지능시스템학회:학술대회논문집
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    • 한국퍼지및지능시스템학회 2001년도 춘계학술대회 학술발표 논문집
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    • pp.109-112
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    • 2001
  • Recently, the subject of \"wavelet analysis\" has drawn much attention from both mathematical and engineering application fields such as Signal Processing, Compression/Decomposition, Statistics and ets. Analogous to Fourier analysis, wavelets is a versatile tool with very rich mathematical content and great potential for applications. Specially, wavelet transform uses localizable various mother wavelet functions in time-frequency domain. In this paper, discrimination analyses of acquired electrical current signals for each and mixed loads were tried by using Morlet wavelet transform. Their representative loads were classified as TV, DRY(Dryer), REF(Refrigerate), and FL(Fluorescent Lamp).

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부하(負荷) 판별(判別)을 위한 Wavelet 변환(變煥)의 응용에 관한 연구 (A Study on Application of Wavelet Transform to Electrical Load Discriminations)

  • 김태홍;이상수;성상규;이기영;지석준;이준탁
    • 대한전기학회:학술대회논문집
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    • 대한전기학회 2000년도 하계학술대회 논문집 D
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    • pp.3050-3052
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    • 2000
  • Recently. the subject of "wavelet analysis" has drawn much attention from both mathematical and engineering application fields such as Signal Processing, Compression/ Decomposition, Statistics and etc. Analogous to Fourier analysis, wavelets is a versatile tool with very rich mathematical content and great potential for applications. Specially, wavelet transform uses localizable various mother wavelet functions in time-frequency domain. In this paper, discrimination analyses of acquired electrical current signals for each and mixed loads were tried by using Morlet wavelet transform. Their representative loads were classified as TV, DRY, REF, and FL.

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