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Hong JeongHa's Tianyuanshu and Zhengcheng Kaifangfa
홍성사,홍영희,김영욱,Hong, Sung Sa,Hong, Young Hee,Kim, Young Wook The Korean Society for History of Mathematics 2014 Journal for history of mathematics Vol.27 No.3
Tianyuanshu and Zengcheng Kaifangfa introduced in the Song-Yuan dynasties and their contribution to the theory of equations are one of the most important achievements in the history of Chinese mathematics. Furthermore, they became the most fundamental subject in the history of East Asian mathematics as well. The operations, or the mathematical structure of polynomials have been overlooked by traditional mathematics books. Investigation of GuIlJib (九一集) of Joseon mathematician Hong JeongHa reveals that Hong's approach to polynomials is highly structural. For the expansion of $\prod_{k=11}^{n}(x+a_k)$, Hong invented a new method which we name Hong JeongHa's synthetic expansion. Using this, he reveals that the processes in Zhengcheng Kaifangfa is not synthetic division but synthetic expansion.
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홍성수,조미남,김사웅,박수봉 東新大學校 2003 論文集 Vol.13 No.-
In this paper, harmonic expansion method(HEM) for analyze optical components which are necessary before the fabrication of optical circuit component and as its applications, using narrow-band spectral filter are studied. Also a narrow-band spectral filter constructed with a W-index optical waveguide is proposed and analyzed. The proposed filter offers a spectral width on the order of one nanometer, considerably narrower than that provided by a filter made of two step-index optical waveguides having the same transmission wavelength. The narrow spectral width is achieved by exploiting a relatively large slope difference between the dispersion characteristics of the W-index and step-index waveguides constituting the filter. The transmission characteristic of the proposed filter with peak transmission at 1550nm is calculated and compared with that of a corresponding filter made of two step-index waveguide filters.
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피씨비(PCB) 中毒에 미치는 프라센타(Placenta)의 效果
洪思澳,李香雨,鄭相允 成均館大學校 1983 論文集 Vol.33 No.-
This study was undertaken to investigate the effects of placenta on the toxicity of KC-400 in rabbits. Rabbits were treated with 800㎎ of KC-400 in 2㎖ olive oil via IP injection intermittently day after day for a week and were successively administered with 2㎖ of the placenta extracts via I. V. injection twice a day after day as well as with the placenta extracts with 50 ㎎ of vitamin C as well. The results obtained in this experiment were as follows: 1. When the experimental animals were treated with human placenta, there wasn't any alteration of the hematochemical indicators such as RBC, WBC, Hgb, Het, serum Cholesterol, s-GOT, s-GPT, serum Alkaline Phosphatase and Total lipids in serum. 2. According to the experiment of PCB poisoning, while s-C, s-GPT, s-ALP, and s-TL were increased, RBC, WBC, Hgb and Het were decreased during the experimental periods respectively. 3. The placenta extracts normalized the hematochemical indicators of the PCB poisoned animals after one day treated by the placenta extracts. 4. The combined treatment with the placenta extracts and vitamin C was the same effect as the single placenta treatment only; they were not significant in the t-test. 5. The placenta extracts inhibited the serum tyrosinase activity of the rabbits which was induced by PCB in vivo and in vitro respectively. By the combined treatment with the placenta extracts and vitamin C, the activity of tyrosinase was remarkably inhibited in comparison with the single treatment with the placenta alone.
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조선(朝鮮) 산학자(算學者) 홍정하(洪正夏)의 계보(系譜)
김창일,홍성사,홍영희,Kim, Chang-Il,Hong, Sung-Sa,Hong, Young-Hee 한국수학사학회 2010 Journal for history of mathematics Vol.23 No.3
Hong Jung Ha(洪正夏, 1684~?) is the greatest mathematician in Chosun dynasty and wrote a mathematics book Gu Il Jib(九一集) which excels in the area of theory of equations including Gou Gu Shu. The purpose of this paper is to find his influence on the history of Chosun mathematics. He belongs to ChungIn(中人) class and works only in HoJo(戶曹) and hence his contact to other mathematicians is limited. Investigating his colleagues and kinship relations including the affinity and consanguinity, we conclude that he gave a great influence to those people and find that three great ChungIn mathematicans Gyung Sun Jing(慶善徵, 1684~?), Hong Jung Ha and Lee Sang Hyuk(李尙爀, 1810~?) are all related through marriage.
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홍성사,홍영희,Hong, Sung-Sa,Hong, Young-Hee 한국수학사학회 2008 Journal for history of mathematics Vol.21 No.4
이 논문은 홍길주(洪吉周)$(1786{\sim}1841)$의 기하신설(幾何新說)에 들어 있는 대수학 분야를 조사하여 홍길주(洪吉周)의 대수학을 구조적으로 분석한다. 쌍추억산(雙推臆算)은 수리정온(數理精蘊)의 첩차호징(疊借互徵)으로 이에 대한 문제를 추가한 것이고, 개방몽구(開方蒙求)에서 완전제곱수부터 완전다섯제곱수를 급수로 나타내는 등식(等式)을 얻어내었다. 잡쇄수초에서, 정수환(整數環) Z의 상환(商環) Z/(9)를 도입하여 합동방정식을 해결하고, 마지막으로 황금비(黃金比)의 성질을 기하적으로 규명하였다.
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