• Title/Summary/Keyword: 드 모르간

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De Morgan Frames (드 모르간 틀)

  • 이승온
    • Journal for History of Mathematics
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    • v.17 no.2
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    • pp.73-84
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    • 2004
  • Stone introduced extremally disconnected spaces as the image of complete Boolean algebras under his famous duality between Bool and ZComp and they turn out to be projective objects in various categories of Hausdorff spaces and completely regular ones are exactly those X with Dedekind complete C(X, ). In the pointfree setting, extremally disconnected frame (= De Morgan frame) are those with De Morgan condition. In this paper, we investigate a historical aspect of De Morgan frame together with that of De Morgan.

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De Morgan's Thoughts and Pedagogics of Mathematics Education (드 모르간의 수학교육 철학과 교수법의 재조명)

  • Son, Hong-Chan;Ko, Ho-Kyoung
    • Journal for History of Mathematics
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    • v.20 no.4
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    • pp.175-190
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    • 2007
  • In the nineteenth century was Augustus De Morgan, British mathematician, a great mathematics teacher. Although his name is well known to everybody who is interested in set theory, his major mathematical legacy would arise from his novel research in logic. In this article, we first investigate De Morgan's life briefly; we then consider his precious philosophy of mathematics education based on his students' remarks and his works. Finally, by considering his teaching style, we highlight some of the ingredients that go into making a great mathematics teacher.

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From a Young Mathematics Professor to a Great Mathematics Teacher: Considering Characteristic Features of the Education of Pure Mathematics in the Social, Institutional and Interdisciplinary Contexts of UCL (드 모르간이 위대한 수학 교육자가 되기까지 : UCL의 사회적, 제도적, 간학문적 맥락 속에서 순수 수학 교육 바라보기)

  • Cho, Su-Nam
    • Journal for History of Mathematics
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    • v.24 no.3
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    • pp.109-143
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    • 2011
  • Augustus De Morgan became to be deeply interested in the education of pure mathematics since he came to teach in UCL because of the specific nature of natural philosophy lectures, the academical knowledge and reasoning powers of the students, and the negative attitudes of London society on mathematics. During his long tenure, he really tried his best to make his students understand the important concepts and the principles of pure mathematics, and logically explain the processes of inducing and proving the laws of pure mathematics. When he could not stay as a mere researcher, he had to concern himself with and pay attention to the problems of educating students. And then his teaching style was constructed in a specific way by the various attitudes about mathematics, the boundary relationship between the adjacent academical branches, and the social and systematic nature of UCL.

A Study on the Fundamental Mechanical Properties of Hydrophobic Cementeous Mortar using Silane Admixtures (실란계 혼화제를 활용한 소수성 시멘트 모르타르의 기초물성 연구)

  • Oh, Hongseob
    • Journal of the Korean Recycled Construction Resources Institute
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    • v.6 no.2
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    • pp.79-86
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    • 2018
  • In this study, emulsion type hydrophobic admixture was prepared by mixing polyvinyl alcohol surfactant, polymethyl hydro-siloxane and meta kaolin, and the compressive strength and mechanical properties such as permeability and contact angle test of the mortar were evaluated. The developed hydrophobic admixture showed no decrease in strength and the mortar specimen with magnesium oxide developed the early strength. In the case of permeability, total seepage was significantly decreased when the hydrophobic admixture was directly mixed with the mortar, but the effect of meta kaolin contained in hydrophobic admixture was not significant. The surface of specimens coated with hydrophobic admixture shows that the contact angle on the surface was highly increased compared with reference mortar specimen. Further researches to obtain the optimum mix proportion of the PVA fiber, nano-silica and meta kaolin for producing the super-hydrophobic surface are required.

Evaluation of Self-Healing Performance for Mortar Beams Containing Self-Healing Materials (자기치유 재료 혼입 모르타르 보의 자기치유 성능 평가)

  • Shin, DongIk;Muhammad, Haroon;Min, Kyung Sung;Lee, Kwang-Myong;Lee, Jung-Yoon
    • Journal of the Korea institute for structural maintenance and inspection
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    • v.24 no.1
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    • pp.67-73
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    • 2020
  • In this study, the self-healing performance of mortar beams containing self-healing materials was evaluated through experiments. Normal mortar beams and self-healing mortar beams were used In the experiments. The self-healing performance was evaluated by comparing the mortar compressive strength, member strength, and self-healing effects of cracks. The experimental results showed that the compressive strength of mortar containing self-healing material was smaller than that of normal mortar, but the ratio of 118 days compressive strength to 28 days compressive strength was the same. The member strength tended to increase with increasing curing period. In normal mortar specimens, the member strength did not recover even if the curing period increased, but the strength of the self-healing mortar specimens tended to recover as reaction products were produced. The crack width tended to decrease after the healing periods in both specimens, but the reaction product was observed only in the self-healing mortar specimens.

Synthesis of catechol-conjugated chitosan and its application as ana dditive for cement mortar (카테콜 작용기를 함유한 키토산 고분자 혼입율에 따른 시멘트 모르타르의 특성 변화)

  • Choi, Hoe Young;Choi, Se-Jin;Ko, Haye Min
    • Proceedings of the Korean Institute of Building Construction Conference
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    • 2022.04a
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    • pp.255-256
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    • 2022
  • We synthesized catechol-conjugated chitosan (CCC) to study its usefulness as a construction material additive in cement mortar. The degree of catechol conju-gation (DOCcat) of the synthesized CCC was determined to be approximately14% by UV-vis and 1H NMR spectroscopy. Furthermore, the hydroxyl and amine groups in CCC could play a crucial role in hydrogen bonding, metal coordination, and cross-linking processes via interaction with adducts from cement mortar. In this study, we observedanimprovement in the compressive strength and absorption rate, suggesting that CCC is a promising candidateforhigh-performance cement mortar.

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