• Title/Summary/Keyword: YangHui SanFa

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A Study on the Publishing and Transmission of Mathematics Books Using Traditional Korean Book List and the Catalogues of Woodblocks 1 -Focusing on mathematics textbooks of national mathematical examinations 算學取才 in the first half of Joseon Dynasty- (전근대시기 한국의 책판목록(冊板目錄)과 도서목록을 통한 산학서 (算學書)의 간행과 유전(流傳) 고찰 1 -조선전기 산학취재(算學取才) 교과서의 간행을 중심으로-)

  • Kang, Min-Jeong
    • Journal for History of Mathematics
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    • v.33 no.2
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    • pp.75-101
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    • 2020
  • We considered the context of the publications and transmissions of mathematics books using the Korean traditional book lists and the catalogues of woodblocks in the Joseon Dynasty and DaeHan大韓 Empire period. Among the results, this paper first describes the context of the publication and transmission of mathematics textbooks of national math exams算學取才 in the first half of Joseon, adding a step more specific to the facts known so far. In 1430, 『YangHui SanFa楊輝算法』, 『XiangMing SuanFa詳明算法』, 『SuanXue QiMeng算學啓蒙』, 『DiSuan地算』, 『WuCao SuanJing五曹算經』 were selected as the textbooks of national math exams算學取才. 『YangHui SanFa』, 『XiangMing SuanFa』, 『DiSuan』 were included in the catalogues of woodblocks in the Joseon Dynasty before the Japanese invasion in 1592, and we could see that Gyeongju慶州, Chuncheon春川, and Wonju原州 were the printing centers of these books. Through other lists, literature records and real text books, it came out into the open that 『XiangMing SuanFa』 was published as movable print books three times at least, 『SuanXue QiMeng』 four times at least in the first half of Joseon Dynasty. And 『XiangMing SuanFa』 was published at about 100 years later than 『YangHui SanFa楊輝算法』 as xylographic books, 『SuanXue QiMeng』 was published twice as xylographic books in the second half of Joseon Dynasty. Whether or not the list of royal books included the Korean or Chinese versions of these books, and additional notation in that shows how the royal estimation of these books changed.

The Unique Achievement of 《SanHak JeongEui 算學正義》on KaiFangFa with count-wood: The refinement of ZengChengKaiFangFa through improvement of estimate-value array (산대셈 개방법(開方法)에 대한 《산학정의》의 독자적 성취: 어림수[상(商)] 배열법 개선을 통한 증승개방법(增乘開方法)의 정련(精鍊))

  • Kang, Min Jeong
    • Journal for History of Mathematics
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    • v.31 no.6
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    • pp.273-289
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    • 2018
  • The KaiFangFa開方法 of traditional mathematics was completed in ${\ll}$JiuZhang SuanShu九章算術${\gg}$ originally, and further organized in Song宋 $Yu{\acute{a}}n$元 dinasities. The former is the ShiSuoKaiFangFa釋鎖開方法 using the coefficients of the polynomial expansion, and the latter is the ZengChengKaiFangFa增乘開方法 obtaining the solution only by some mechanical numerical manipulations. ${\ll}$SanHak JeongEui算學正義${\gg}$ basically used the latter and improved the estimate-value array by referring to the written-calculation in ${\ll}$ShuLi JingYun數理精蘊${\gg}$. As a result, ZengChengKaiFangFa was more refined so that the KaiFangFa algorithm is more consistent.

Chosun mathematics in the 17th Century and Muk Sa Jib San Beob (17세기 조선 산학(朝鮮 算學)과 ${\ll}$묵사집산법(默思集筭法)${\gg}$)

  • Jin, Yuzi;Kim, Young-Wook
    • Journal for History of Mathematics
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    • v.22 no.4
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    • pp.15-28
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    • 2009
  • In this paper, we study the 17th Century Chosun's mathematics book ${\ll}$Muk Sa Jib San Beob${\gg}$ written by Chosun's mathematician Kyeong Seon Jing. Our study of thebook shows the ${\ll}$Muk Sa Jip San Beop${\gg}$ as an important 17th Century mathematics book and also as a historical data showing the mathematical environment of 17th Century Chosun.

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Analysis of Differences in Fractional Anisotropy of Diffusion Tensor Images of Basal Ganglia in the Brain Gray Matter according to Smoking (뇌 회백질 기저핵 부위의 흡연유무에 따른 확산텐서 비등방도 측정값 차이분석)

  • Kwak, Jong Hyeok;Jeong, Jae Beom;Son, Bong Kyeong;Sung, Soon Ki;Kim, Seong Jin;Kang, Dong Won;Park, Chan Hyeok;Im, Hyeon Wha;Lee, Yu Hui;Lee, Bong Sang;Kim, Dong hyeon
    • Journal of the Korean Society of Radiology
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    • v.12 no.2
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    • pp.261-269
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    • 2018
  • The fractional anisotropy value of the basal ganglia fibers in the brain gray matter region was analyzed by Tract-Based Spatial Statics(TBSS) method after acquiring the diffusion tensor image to identify the presence or absence of brain white matter damage to smoking in male. As a result of measurement analysis, the fractional anisotropy measurement value was lower in smokers than non-smokers in all areas, and the FA value was statistically significant. smoking significantly affects all the anatomic micro structural changes in the brain gray matter and damages the nerve fiber tract. As a result, it can affects functional abnormalities related to the minute changes of the brain due to smoking.

Ki-Won Chang, The first specialist on the history of Korean mathematics (최초의 한국수학사 전문가 장기원(張起元))

  • Lee, Sang-Gu;Lee, Jae-Hwa
    • Communications of Mathematical Education
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    • v.26 no.1
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    • pp.1-13
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    • 2012
  • Ki-Won Chang(1903-1966) is considered as the first mathematician who made a contribution to the study of the history of Korean mathematics. In this paper, we introduce contributions of Ki-Won Chang, his discovery of old Korean literatures on mathematics, and his academic contribution on the history of Korean mathematics. Then we analyze and compare his conclusions on old Korean mathematics with recent works of others. This work shows some interesting discovery.