• Title/Summary/Keyword: generallization

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Generallization of Semi-bent functions and their Construction Method (Semi-bent 함수의 일반화와 구성 방법)

  • Park, Sang-Woo;Chee, Seong-Taek;Kim, Kwang-Jo
    • Journal of the Korea Institute of Information Security & Cryptology
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    • v.6 no.3
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    • pp.31-40
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    • 1996
  • In [4, 12], Chee et al. proposed a new class of cryptographic primitive, 'semi-bent functions', which exists on only odd dimensional vector spaces [4]. In this paper, we discuss new notion of generalized semi-bent functions which can be defined on any vector spaces. And we suggest systematic methods for constructing generalized semi-bent functions and analyse their cryptographic properties. In addition, we show that SUC fulfilling Boolean functions can be found on any dimensional vector spaces.

On Exploring the Properties of Pythagorean Triples Using Spreadsheets (스프레드시트를 활용한 피타고라스 삼원수 성질의 탐구)

  • Son, Hong-Chan
    • Communications of Mathematical Education
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    • v.25 no.1
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    • pp.147-166
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    • 2011
  • In this paper, we listed and discussed the properties of the Pythagorean triples which 5 gifted 9th graders could draw in spreadsheets environments. And we also discussed their implications. In detail, in spreadsheets environments students could make the table of Pythagorean triples easily under several conditions of generate numbers of Pythagorean triples. And they could draw several properties of Pythagorean triples from the tables and could prove them. In spreadsheets environments it is easy to give students chances of generalization of the properties of Pythagorean triples which they had obtained from the concrete table of Pythagorean triples.

Experimental Study for Draft Prediction of Tillage Implement by Analog Tool (유사기구에 의한 경운작업기의 견인저항 예측을 위한 실험적 연구)

  • 이규승;조성찬;박원엽
    • Journal of Biosystems Engineering
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    • v.22 no.2
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    • pp.117-126
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    • 1997
  • A series of soil bin experiment was carried out on sandy loam to investigate if it is possible to predict implement draft by some analog tool. Chisel configuration resembling a cone penetrometer section was used as an analog tool. The angle of cone was 30 degree. Three types of tillage implement, or oriental janggi, moldboard plow and chisel plow were chosen for this study. Experimental tillage speed was 0.22, 0.33, 0.49 m/s ad tillage depth was 8, 12, 16cm. For the experimental tillage speed range, the increase of tillage speed did not affect the tillage draft for the three types of implement and analog tool, but as the tillage depth increased, tillage draft of the three types of implement and analog tool increased linearly. The linear relationship was found between the tillage draft of analog tool and that of three types of tillage implement for the experimental tillage depth and speed range with high value of $R^2$ Thus it was concluded from the above results that an analog tool can be used to predict the tillage draft of oriental janggi, moldboard plow and chisel plow. But more experiment for various soil types and theoretical verification are needed for more generallization.

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