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이동원,김부윤,정영우,Lee, Dong Won,Kim, Boo Yoon,Chung, Young Woo 영남수학회 2016 East Asian mathematical journal Vol.32 No.2
There are three subjects in the study. First, after investigating the development process of the method of infinite descent and the reduction to absurdity, we prove them to be equivalent each other. Second, we apply the method of infinite descent to some problems in textbook and compare it with the reduction to absurdity. Finally, we discuss on teaching proofs with the method of infinite descent.
이동원,박상인,황민철,Lee, Dong Won,Park, Sangin,Whang, Mincheol 한국감성과학회 2017 감성과학 Vol.20 No.3
Physiological responses have been measured to recognize emotion. Although physiological responses have been interrelated between organs, their connectivities have been less considered for emotion recognizing. The connectivities have been assumed to enhance emotion recognition. Specially, autonomic nervous system is physiologically modulated by the interrelated functioning. Therefore, this study has been tried to analyze connectivities between heart and respiration and to find the significantly connected variables for emotion recognition. The eighteen subjects(10 male, age $24.72{\pm}2.47$) participated in the experiment. The participants were asked to listen to predetermined sound stimuli (arousal, relaxation, negative, positive) for evoking emotion. The bio-signals of heart and respiration were measured according to sound stimuli. HRV (heart rate variability) and BRV (breathing rate variability) spectrum were obtained from spectrum analysis of ECG (electrocardiogram) and RSP (respiration). The synchronization of HRV and BRV spectrum was analyzed according to each emotion. Statistical significance of relationship between them was tested by one-way ANOVA. There were significant relation of synchronization between HRV and BRV spectrum (synchronization of HF: F(3, 68) = 3.605, p = 0.018, ${\eta}^2_p=0.1372$, synchronization of LF: F(3, 68) = 5.075, p = 0.003, ${\eta}^2_p=0.1823$). HF difference of synchronization between ECG and RSP has been able to classify arousal from relaxation (p = 0.008, d = 1.4274) and LF's has negative from positive (p = 0.002, d = 1.7377). Therefore, it was confirmed that the heart and respiration to recognize the dimensional emotion by connectivity. 감성을 인식하는데 있어 생리적 반응은 중요하다. 생리적 반응은 인체의 주요 기관들과 밀접한 관련이 있지만 감성을 인식하는데 연결성은 고려되지 않고 있다. 자율신경계는 감성과 밀접한 관련이 있는데, 심장과 폐와 같은 인체 내 주요 내장기관에 분포되어 기능적 상보작용을 통해 생리적 반응을 조절하기 때문이다. 따라서 본 연구는 심장과 호흡의 연결성을 분석하고 감성을 인식하는 중요한 연결 변수를 찾고자 하였다. 피험자 18명(남 10명, 평균 나이 $24.72{\pm}2.47$)은 소리 자극을 이용한 감성 유발 실험에 참여하였고 심전도와 호흡 데이터를 측정하였다. 수집된 심장과 호흡 데이터는 스펙트럼 분석을 이용하여 HRV와 BRV spectrum을 구하였고, 감성에 따른 HRV와 BRV spectrum의 동기화 차이를 일원배치분산분석을 통해 통계적 유의성을 확인하였다. Tukey 검증 결과, arousal-relaxation은 HF 대역에서 심전도와 호흡의 동기화 차이로 인식 가능하였고(p = 0.008, d = 1.4274), negative-positive는 LF 대역에서 인식이 가능하였다(p = 0.002, d = 1.7377). 본 연구 결과로 심장과 호흡의 연결성을 통해 차원적 감성을 정량적으로 평가할 수 있음을 확인하였고, 복합적인 원인으로 발현되는 감성을 인식하는데 생리적 반응들의 연결성 변수의 활용도가 높을 것으로 기대된다.
서양의 역사적인 지도제작법의 발달 과정과 수학적 지식의 상호 영향 관계를 통해 본 직교좌표계
이동원,Lee, Dong Won 한국수학사학회 2012 Journal for history of mathematics Vol.25 No.4
역사적인 지도제작법에 나타난 좌표계와 수학적 직교좌표계의 발전 과정을 비교하면서 위치를 표시하는 직교좌표계는 수학의 해석기하학과는 상관없이 인간 본연에 내재되어 있었던 공간지각능력의 일환으로 발전되어 왔음을 주장한다. 지도제작법의 발전이 해석기하학의 발명 전후 삼각함수, 로그, 기하학, 미적분학, 통계학 등 수학의 여러 분야와 상호 영향을 미치지만 원점의 표시나 음수 좌표의 사용과 같은 수학적 직교좌표계 자체에 대한 발전은 데카르트의 논문 발표 후 100여년 이상 지난 후에 이루어지는 점, 해석기하학을 발명하는데 공헌한 대부분의 수학자들이 당대의 문제 해결에 집중하면서 직교좌표계에 대한 수학적 설명없이 자연스럽게 사용하였던 점을 바탕으로 이런 결론을 얻는다. By comparing the development history of rectangular coordinate system in Cartography and Mathematics, we assert in this manuscript that the rectangular coordinate system is not so much related to analytic geometry but comes from the space perceiving ability inherent in human beings. We arrived at this conclusion by the followings: First, although the Cartography have much influenced to various area of Mathematics such as trigonometry, logarithm, Geometry, Calculus, Statistics, and so on, which were developed or progressed around the advent of analytic geometry, the mathematical coordinate system itself had not been completely developed in using the origin or negative axis until 100 years and more had passed since Descartes' publication. Second, almost mathematicians who contributed to the invention of rectangular coordinate system had not focused their studying on rectangular coordinate system instead they used it freely on solving mathematical problem.
이동원,이양,정영우,Lee, Dong Won,Lee, Yang,Chung, Young Woo 영남수학회 2014 East Asian mathematical journal Vol.30 No.4
We can easily see the 'cycloid slide' in the many mathematics and science museums. The educational materials, however, do not give us any mathematical principle. For this reason, we, in this thesis, first study the brachistochrone problem in the history of mathematics, and suggest a method of how to teach the principle using 'the dynamic geometry software GSP5' in order to help students understand the idea that the cycloid is the brachistochrone. Secondly, we examine the origin of the calculus of variations and apply it to prove the brachistochrone problem in order to build up the teachers' background knowledge. This allows us to increase the worth of history of mathematics and recognize how useful the learning is which uses technological tools or materials, and we can expect that the learning which makes use of cycloid slide will be meaningful.
이동원,박근태,임태수,이혜문,유지훈,Lee, Dong-Won,Park, Geun-Tae,Lim, Tae-Soo,Lee, Hye-Moon,Yu, Ji-Hun 한국분말야금학회 2011 한국분말재료학회지 (KPMI) Vol.18 No.4
Zr-Ti alloy powders were successfully synthesized by magnesium thermal reduction of metal chlorides. The evaporated and mixed gasses of $ZrCl_4+TiCl_4$ were injected to liquid magnesium and the chloride components were reduced by magnesium leading to the formation of $MgCl_2$. The released Zr and Ti atoms were then condensed to particle forms inside the mixture of liquid magnesium and magnesium chloride, which could be dissolved fully in post process by 1~5% HCl solution at room temperature. By the fraction-control of individually injected $ZrCl_4$ and $TiCl_4$ gasses, the final compositions of produced alloy powders were changed in the ranges of Zr-0 wt.%~20 wt.%Ti and their purity and particle size were about 99.4% and the level of several micrometers, respectively.
탄탈륨 산화물의 마그네슘 가스환원에 의한 탄탈륨 금속분말 제조
이동원,Lee, Dong-Won 한국분말야금학회 2018 한국분말재료학회지 (KPMI) Vol.25 No.5
Metallic tantalum powder is manufactured by reducing tantalum oxide ($Ta_2O_5$) with magnesium gas at 1,073-1,223 K in a reactor under argon gas. The high thermodynamic stability of magnesium oxide makes the reduction reaction from tantalum oxide into tantalum powder possible. The microstructure after the reduction reaction has the form of a mixture of tantalum and magnesium oxide, and the latter could be entirely eliminated by dissolving in weak hydrochloric acid. The powder size in SEM microstructure for the tantalum powder increases after acid leaching in the range of 50-300 nm, and its internal crystallite sizes are observed to be 11.5 to 24.7 nm with increasing reduction temperatures. Moreover, the optimized reduction temperature is found to be 1,173 K as the minimum oxygen concentration is approximately 1.3 wt.%.