• 한국수학사학회지
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• 제24권1호
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• pp.1-13
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• 2011

조선 산학에서 다항방정식의 해볍에 가장 큰 영향을 준 것은 ${\ll}$양휘산법(楊輝算法)${\gg}$의 전무비유승제첩법(田畝比類乘除捷法)에 인용된 유익(劉益)의 ${\ll}$의고근원(議古根源)${\gg}$에 들어있는 개방술(開方術)이다. 이 논문은 ${\ll}$양휘산법(楊輝算法)${\gg}$에 설명되어 있는 개방술(開方術)을 조사하여 증승개방법(增乘開方法)은 조립제법과 관계없이 이항식$(y+{\alpha})^n$을 전개하는 과정에서 이루어진 것을 밝혀낸다. 이어서 ${\ll}$양휘산법(楊輝算法)${\gg}$을 연구한 홍정하(洪正夏)(1684~?)가 그의 ${\ll}$구일집(九一集)${\gg}$에서 유익(劉益)-양휘(楊輝)와 ${\ll}$산학계몽(算學啓蒙)${\gg}$의 결과를 확장하여 증승개방법(增乘開方法)을 완벽하게 정리한 것을 밝혀낸다.

• 한국수학사학회지
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• 제31권6호
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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.

• ETRI Journal
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• 제10권4호
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• pp.3-3
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• 1988

• 한국환경과학회지
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• 제15권1호
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• pp.1-7
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• 2006

The purpose of this study is to illustrate the characteristics of soil organic matter (SOM) and partition coefficient $(K_{DOC})$. Humic substances (HS) from eight soils of varying properties were extracted by two different methods. The dissolved organic carbon (DOC) concentration was stabilized in 22hrs. The ratio of UV absorbance at 465nm and 665nm (E4/E6 ratio) for HS were similar pattern for 8 soils. The extraction with increasing pH increased dissolution of SON. The ratio of organic carbon (OC) associated with HA and FA (the HA:FA ratio) was varied widely in accordance with the soils and was highly correlated to OC $content(\%)$ of the soils. in modeling metal speciation in soils and soil solutions, assumptions that all DOC in soil solution is associated with FA and that HA:FA ratio in SOM is constant have been made. The results of this study indicate that the validity of these assumptions is questionable. By sequential pH extraction, the $K_{DOC}$ showed in a linear correlation with pH.

• 한국수학사학회지
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• 제22권4호
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• pp.29-40
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• 2009

중국 산학에서 방정식 풀이 방법은 고법(古法)과 구장산술(九章算術)의 개방술(開方術), 개입방술(開立方術)을 시작으로 가헌(賈憲)의 개방석쇄법(開方釋鎖法)을 걸쳐 증승개방법(增乘開方法)으로 완성된다. 본 논문에서는 이 방법들을 알아보고 조선의 산학자들이 그들의 산서에서 사용한 해법을 연구한다.

• 한국산업보건학회지
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• 제24권4호
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• pp.446-452
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• 2014

Objective: This study aimed to evaluate the exposure status of formaldehyde(FA) among the nurses in ambulatory care departments of university hospital. Methods: Two university hospitals were surveyed. The FA concentration in air were measured to target 62 nurses in 8 ambulatory care departments(89 samples). Air sampling and analysis of FA were carried out according to the OSHA Method ID-205. The survey was conducted with questionnaire asking about how to control FA and whether the nurses use the formaldehyde protectors or not. Results: FA was detected in all samples. The maximum concentration of FA was 0.258 ppm and the geometric mean was 0.023 ppm. There was no sample that exceeded any of exposure standards by OSHA-TWA whereas there were 54 samples(60.7%) that exceeded the standards by NOISH-TWA. Among 62 nurses handling FA, 13 nurses(21.0%) used the protective gloves while nobody used a gas mask. It was assessed that any of 8 common ambulatory care departments did not use a safety cabinet for FA in which local exhaust ventilation was fixed. Conclusions: Nurses in ambulatory care departments were exposed to FA. Therefore, the environment management of a workplace, the health management of a nurses, FA handling education and installing a FA cabinet with a local exhaust ventilation were needed because FA as a carcinogen was able to cause any cancer to a human body if it was emitted in air for long time.

• 한국수학사학회지
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• 제28권2호
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• pp.73-83
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• 2015

In this paper, we give answers to some interesting questions about a Confucian scholar and mathematician in the late Joseon Dynasty, CHOI Seok-Jeong(崔錫鼎, 1646-1715), who was inducted into the Science and Technology Hall of Fame (http://kast.or.kr/HALL) for his mathematical achievements in October, 2013. In particular, we discover that CHOI Seok-Jeong was able to devote his natural abilities and time to do research on mathematics, and that he frequently communicated with his friend and fellow scholar, LEE Se-Gu(李世龜, 1646-1700), who was an expert on the astronomical calendar and mathematics, based on at least 24 letters between the two.

• 한국도서관정보학회지
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• 제27권
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• pp.171-209
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• 1997

The results of the study can be summarized as follows. The Shu-mu Da-wen was selected and compiled by Zhang Zhi Dong at the end of Qing Dynasty as a reading list for students preparing for the state examination and for the purpose of choosing the best from several versions. Whether it was compiled and edited by Zhang was in dispute. But it is almost certain that Zhang was the main editor because Shu-mu Da-wen showed his political, educational and scientific thoughts and knowledge distinctively. The followings are characteristics of Shu-mu Da-wen being compared with Si-ku Quan-shu Zong-mu Ti-yao. 1. In Jing-bu, the Confucian classics are divided into Zheng-jing Zheng-zhu and 'Lie-chao Jing-zhu Jing-shuo Jing-ben kao-zheng. Zheng-shi lei is divided into Zheng-shi fen he ke ben and Zheng-shi zhu bu biao pu kao-zheng. It is the special sorting method to include Du-ben lei in Jing-bu and Chu xue du-ben in Bie-lu in order to provide first learners for reading order. 2. Shi-bu included Gu-shi newly and Di-li lei is divided into Gu Di-li and Jin di-li in Shi-bu. Tian-wen Suan-fa lei is divided into Zhong-fa and Xi-fa in Zi-bu. Zhang distinguished between old books and contemporary ones to find out the origin and include newly published books in the East and the West. 3. Zhou-Qin zhu-zi is newly added to Zi-pu. In Ji-pu, Bie-ji and Zong-ji are categorized according to their style and period respectively. This show the new sorting method which added classifying system concerning academic development. It is the prominent feature in the compiling system to make Bie-lu and Cong-shu respective chapters. With those characteristics the Shu-mu Da-wen had been edited and published several times. It had a wide effect not only on compiling methods of cataloging afterwards and but also on classification systems before decimal classification was introduced in China.

• 한국수학사학회지
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• 제24권3호
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• pp.1-12
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• 2011

간지(干支)는 일상생활과 술수(術數)등에 매우 중요한 역할을 하였다. 음양학파는 역경에 나오는 괘와, 중국의 음계를 결정하는 오음(五音)과 십이율(十二律)을 간지와 연결하였는데 이를 각각 납갑(納甲), 납음(納音)이라 한다. 침괄(沈括)은 그의 $\ll$몽계필담(夢溪筆談)$\gg$(1095)에 이들을 인용하였다. 양휘(楊輝)는 그의 $\ll$속고적기산법(續古摘奇算法)$\gg$(1275)에 납음법을 수학적 구조로 얻어낼 수 있음을 보였다. 이를 위하여 양휘(楊輝)가 함수의 개념을 도입하고, 합동식의 성질과 합성함수를 이용하여 납음법을 완벽하게 정리하였음을 이 논문에서 밝혀낸다. 그의 함수 개념은 수학사에서 가장 빠른 것이다.

• 한국수학사학회지
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• 제22권4호
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• pp.15-28
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• 2009

본 논문은 17세기 조선의 대표적인 산서(算書)인 경선징(慶善徵, 1616~?)의 ${\ll}$묵사집산법(默思集筭法)${\gg}$에 대한 연구이다. 본 연구를 통해서 ${\ll}$묵사집산법(默思集筭法)${\gg}$은 17세기의 중요한 산서(算書)로서 그 의미를 찾을 수 있으며, 또한 17세기 조선 산학의 상황을 알려주는 중요한 사료(史料)임을 알 수 있다.