라이프니츠의 분석법에 관한 고찰

김성준,Kim, Sung-Joon 한국수학사학회 2006 Journal for history of mathematics Vol.19 No.4

This paper aims to review Leibniz's analytic ideas in his philosophy, logics, and mathematics. History of analysis in mathematics ascend its origin to Greek period. Analysis was used to prove geometrical theorems since Pythagoras. Pappus took foundation in analysis more systematically. Descartes tried to find the value of analysis as a heuristics and found analytic geometry. And Descartes and Leibniz thought that analysis was played most important role in investigating studies and inventing new truths including mathematics. Among these discussions about analysis, this paper investigate Leibniz's analysis focusing to his ideas over the whole of his studies. 수학에서 분석(analysis)의 역사는 고대 그리스에서부터 시작되었다. 그리스의 기하적 분석법은 16세기 비에트$(Vi{\`{e}}te)$와 데카르트(Descartes) 이후 방정식을 이용한 문제해결(대수적 분석법)로 확장되었으며, 그 결과 대수는 분석을 위한 기술(art for analysis)로 대변되었다. 그리고 뉴헌(Newton)과 라이프니츠(Leibniz)에 의해 미적 분학이 탄생되면서 분석은 대수에서 한 걸음 더 나아가 오늘날 수학의 한 분야인 해석학으로 발전되었다. 그 동안 수학교육학 연구에서는 분석과 관련된 논의가 파푸스(Pappus)와 데카르트를 중심으로 다루어져 왔으나, 지금까지 라이프니츠의 역할과 그에 대한 연구는 거의 다루어지지 않았다. 본 연구는 라이프니츠의 철학 및 논리학을 바탕으로 그 가운데 분석과 관련된 그의 아이디어를 살펴보고, 이를 통해 그가 생각한 수학에서의 분석의 역할에 대해 논의하였다.

Formation pattern 연구를 통한 AGM 연축전지의 충전 효율 향상

김성준,손정훈,김봉구,정연길,Kim, Sung Joon,Son, Jeong Hun,Kim, Bong-Gu,Jung, Yeon Gil 한국결정성장학회 2021 韓國結晶成長學會誌 Vol.31 No.1

CO2 가스 발생 감소와 연비향상을 위해서 HEV 차량은 ISG 시스템을 채용하고 있다. 이 ISG 시스템은 배터리가 감당해야 하는 전기 부하를 증대시켰고, 시동 횟수도 급격히 늘어나게 하였다. 이를 위해 AGM 연축전지가 개발되어 사용되고 있으나, 종래의 연축전지에 비해서 formation 중 전해액량 조절이 더 높은 수준으로 유지해야 됨에 따라 충전시간이 약 3배 가량 길어지게 되었다. 본 연구에서는 formation pattern의 최적화를 통해서 충전효율을 증대시켜 충전시간을 단축하고자 하였다. formation pattern의 최적화를 위해서, 16개 multi step에 10개 충전 step과 6개의 방전 step을 적용하고, step별 충전 전류를 조절한 4가지 조건(21 hr, 24hr, 27 hr, 30 hr)으로 시험을 진행하였다. 그 결과 24 hr 시험 조건이 PbO2 변환율이 가장 높게 분석되었고, 용량 103.3 %, 저온시동성능 38 sec, 충전수입성 37.36 A로 나타났다. Multi-step과 방전 step을 적용한 충전 프로그램의 결과, 충전 중에 국부적으로 급격히 발생된 분극화를 제거하고 전류의 손실을 최소함으로써 충전효율을 증가시킬 수 있음을 검증하였다. 이렇게 충전효율을 증가시킴으로써 본 연구에서는 충전시간을 기존에 비해서 약 30 % 감소시키는 탁월한 결과를 얻을 수 있었다. In order to improve fuel economy and reduce CO2, HEV adopts ISG system as a standard. This ISG system increased the electric load that the battery had to bear, and the number of starting increased rapidly. AGM Lead Acid batteries have been developed and used, but the charging time is about three times longer as the electrolyte amount control during formation must be maintained at a higher level compared to conventional lead-acid batteries. In this study, we tried to shorten the charging time by increasing the charging efficiency through the optimization of the formation pattern. In order to optimize the Formation Pattern, 10 charging steps and 6 discharging steps were applied to 16 multi steps, and the charging current for each step was controlled, and the test was conducted under 4 conditions (21 hr, 24 hr, 27 hr, 30 hr). As a result of simultaneous application of multi-step and discharge step, it was verified that minimizing the current loss and eliminating the sudden polarization during charging contributes to the improvement of charging efficiency. As a result, it showed excellent results in reducing the charging time by about 30 % with improved charging efficiency compared to the previous one.

다중시기 Landsat TM 영상을 이용한 화옹지구의 간척사업에 따른 갯벌면적의 변화 추정

김성준,방노성,권형중,Kim Seong-Joon,Bang Ro-Sung,Kwon Hyung-Joong 한국관개배수위원회 2003 한국관개배수논문집 Vol.10 No.1

The purpose of this study is to suggest a simple estimation method of tidal flat areas using multi-temporal Landsat TM images due to the progress of sea dike construction for tidal land reclamation. As a case study, Hwa-ong project in which dike construct

총명탕과 초콜릿 첨가 총명탕의 학습 및 기억장애에 대한 효능 비교연구

김성준,박원상,최현,김범회,신정원,손영주,손낙원,정혁상,Kim, Seong-Joon,Park, Won-Sang,Choi, Hyeon,Kim, Bum-Hoi,Shin, Jung-Won,Sohn, Young-Joo,Sohn, Nak-Won,Jung, Hyuk-Sang 대한한의학방제학회 2008 大韓韓醫學方劑學會誌 Vol.16 No.1

With tablets and powder, decoction has been a widely-used method of medicine formula. However, for these formulas have unique bitter tastes and flavors of herbal component materials as it is, the compliance of herbal medicine is severly decreased especially for female and younger patients. Consequently, expected treatment effects can't be acquired completely. If loathsome tastes and flavors of decoction were effectively reduced while pharmacological activity were kept intact, the compliance could be promoted Chong-Myung-Tang has been widely prescribed for student patients with memory This study shows that Chong-Myung-Tang+chocolate have no difference from Chong-Myung-Tang in terms of pharmacological activity. Sensory difference with net chocolate was also surved. In order to observe the difference of Chong-Myung-Tang+chocolate and Chong-Myung-Tang, memory impairment was induced by intraventricular injection of $A{\beta}_{25-35}$ peptides on mice and Chong-Myung-Tang and Chong-Myung-Tang+chocolate were administered orally for 14 days. In water maze task, improvement of learning ability during acquisition period and significant increase of memory score during retention period resulted from the treatment of Chong-Myung-Tang and Chong-Myung-Tang+chocolate with respect to the $A{\beta}-injected$ control animals. Furthermore, the $A{\beta}_{25-35}$ toxicity on the hippocampus was assessed with immunohistochemistry (Bax, TUNEL), and differences in antioxidant activity was observed through TBARS and DPPH test. We employed sensory tests using chocolate flavor, herb flavor, and bitter taste & hardness as standards to show sensory differences with net chocolate. In this study, it is demonstrated that Chong-Myung-Tang+chocolate do not disturb the pharmacological activity of Chong-Myung-Tang, and have no sensory difference with net chocolate. Chong-Myung-Tang+chocolate can be used to enhance the compliance remarkably and thought of as an effective, functional formula to maximize expected treatment.

역사-발생적 분석을 통한 대수 지도

김성준,Kim, Sung-Joon 한국수학사학회 2005 Journal for history of mathematics Vol.18 No.3

수학사는 수학 교육에서 수학의 실제와 수학을 하는 사고 과정을 강조하기 위해 분석의 대상이 되어야 한다. 수학사를 분석하는 것은 수학적 활동을 이해하는 방법 가운데 하나로, 역사적으로 수학자들의 활동이 어떻게 변하면서 발전되어 왔는지, 그리고 수학적 개념들이 어떻게 전개되어 왔는지를 살펴보기 위한 것으로, 이러한 내용은 수학 교육적 관점에서 중요하게 다루어져야 한다. 본 연구는 이러한 관점에서 학교대수에서 다루는 문자 기호(미지수)와 음수를 중심으로 하여 수학사에서 등 장한 몇몇 텍스트를 분석하고 동시에 교육적인 논의를 이끌어내고자 한다. 이를 위해 먼저 수학교육에서 역사-발생적 분석의 필요성과 그 의의에 대해 살펴보고, 이러한 분석에서 제기되는 인식론적 장애에 대해 논의한다. 다음으로 역사-발생적 분석을 실제 대수 지도에 적용해보기 위해, 방정식에서 사용된 문자 기호(미지수)의 역사를 몇몇 텍스트를 통해 살펴보고 이를 선행된 실험연구의 결과와 함께 논의한다. 또한 음수의 역사를 개괄하면서 역시 몇몇 텍스트를 살펴보고, 음수의 역사를 대수 지도와 관련해서 논의한다. 수학사는 인류의 대역적인 학습 과정으로 학교수학에서 다루는 개념들에 의미 있는 토대를 마련해준다. 본 연구의 논의는 이러한 측면에 주목한 것으로 역사-발생적 분석을 대수 지도를 개선하기 위한 방안 가운데 하나로 본 것이다. History of mathematics must be analysed to discuss mathematical reality and thinking. Analysis of history of mathematics is the method of understanding mathematical activity, by these analysis can we know how historically mathematician' activity progress and mathematical concepts develop. In this respects, we investigate teaching algebra through historico-genetic analysis and propose historico-genetic analysis as alternative method to improve of teaching school algebra. First the necessity of historico-genetic analysis is discussed, and we think of epistemological obstacles through these analysis. Next we focus two concepts i.e. letters(unknowns) and negative numbers which is dealt with school algebra. To apply historico-genetic analysis to school algebra, some historical texts relating to letters and negative numbers is analysed, and mathematics educational discussions is followed with experimental researches.

초등수학에서의 곱셈구구 지도 순서에 대한 고찰

김성준,Kim, Sung Joon 영남수학회 2016 East Asian mathematical journal Vol.32 No.4

The purpose of ths study is to compare and analyze the sequence of teaching multiplication facts in the elementary school mathematics. Generally, the multiplication in the elementary school mathematics is composed of the followings; concepts of multiplication, situations involving multiplication, didactical models for multiplication, and multiplication strategies for teaching multiplication facts. This study is focusing to multiplication facts, especially to the sequence of teaching and multiplication strategies. The method of this study is a comparative and analytic method. In order to compare textbooks, we select the Korean elementary mathematics textbooks(1st curriculum~2009 revised curriculum) and the 9 foreign elementary mathematics textbooks(Japan, China, Germany, Finland, Hongkong etc.). As results of comparative investigation, the sequence of teaching multiplication facts is reconsidered on a basis of elementary students' mathematical thinking. And the connectivity of multiplication facts is strengthened in comparison with the foreign elementary mathematics textbooks. Finally multiplication strategies for teaching multiplication facts are discussed for more understanding and reasoning the principles of multiplication facts in the elementary school mathematics.

세라믹 비니어의 글레이징에 따른 반투명도 변화

김성준,감세훈,Kim, Sung-Joon,Kahm, Se Hoon 대한치과보철학회 2015 대한치과보철학회지 Vol.53 No.2

목적: 본 연구의 목적은 두 종의 라미네이트 세라믹 비니어의 글레이징 여부에 따른 반투명도 변화를 비교하는데 있다. 재료 및 방법: IPS e.maxPress (IEM)와 Styleveneers (STV)를 대상으로 하여 각각 0.3 mm와 0.6 mm 두께의 한 변이 10 mm인 정사각형 형태의 시편을 글레이징을 시행한 군과 하지 않은 군으로 나누어 제작하였다(n=80). 각 시편은 측색기를 이용하여 색좌표(CIE $L^*a^*b^*$)를 측정하였다. Translucency Parameter (TP)는 측정한 색차를 계산하여 얻었다. 각 제조사별 차이와, 글레이징 여부에 관한 통계 분석을 위해 독립표본 t-test를 시행하였다(P=.05). 결과: IEM의 0.3 mm 두께에서 TP값(평균${\pm}$표준편차)은 글레이징을 시행하지 않은 군에서 $45.99{\pm}3.00$, 글레이징을 시행한 군에서 $49.53{\pm}2.28$이었으며, 0.6 mm 두께에서는 각각 $32.82{\pm}2.59$과 $43.02{\pm}0.98$이었다. 마찬가지로, STV의 0.3 mm 두께에서 TP값은 글레이징을 시행하지 않은 군에서 $47.03{\pm}3.65$, 글레이징을 시행한 군에서 $50.95{\pm}3.05$이었으며, 0.6 mm 두께에서는 각각 $34.48{\pm}1.28$과 $43.39{\pm}1.20$이었다. 세라믹 비니어의 글레이징 여부에 따라, 세라믹 비니어의 TP값은 통계적으로 차이가 나타났다. 그러나 제조사간의 통계적 유의성은 없었다. 결론: 한계는 있지만, 본 연구에서, 라미네이트 세라믹 비니어는 글레이징 과정을 거치면 반투명도가 변화되며, 제조사간의 차이는 없다는 결론을 얻었다. Purpose: The aim of this study was to compare the translucency of two different laminate ceramic veneers with and without glazing. Materials and methods: Ten millimeter side square-shaped specimens in 0.3 mm and 0.6 mm thick were fabricated for the following materials with and without glazing (n=80): A1 shade IPS e.maxPress (IEM) and Styleveneers (STV). The color coordinates (CIE $L^*a^*b^*$) of the specimens were measured with a colorimeter. The Translucency parameter (TP) was calculated from the color difference of the material on a black versus a white background. For comparisons between materials and between the 'not glazed' and 'glazed' groups, unpaired t-test was used to analyze the data (P=.05). Results: The TP ($Mean{\pm}SD$) of 'not-glazed' and 'glazed' group of IEM specimens at 0.3 mm thickness were $45.99{\pm}3.00$ and $49.53{\pm}2.28$ and the TP at 0.6 mm thickness were $32.82{\pm}2.59$ and $43.02{\pm}0.98$, respectively. Likewise, the TP of 'not-glazed' and 'glazed' group of STV specimens at 0.3 mm thickness were $47.03{\pm}3.65$ and $50.95{\pm}3.05$ and the TP at 0.6 mm thickness group were $34.48{\pm}1.28$ and $43.39{\pm}1.20$, respectively. As the glazing of ceramic veneer differed, the TP of each ceramic veneer showed statistically significant difference. But, the result between the products was not statistically different. Conclusion: Within the limitations of this study, we are concluded that the glazing process changed translucency of laminate ceramic veneers and the TP would not be affected by products.

고고도 장기체공 무인기 구조 설계 및 해석

김성준,이승규,김성찬,김태욱,김승호,Kim, Sung Joon,Lee, Seunggyu,Kim, Sung Chan,Kim, Tae-Uk,Kim, Seungho 한국항공운항학회 2014 한국항공운항학회지 Vol.22 No.3

Research is being carried out at Korea Aerospace Research Institute with aim of design a HALE UAV(High Altitude Long Endurance Unmanned Air Vehicle). HALE UAVs are ideally suited to provide surveillance, remote sensing and communication relay capabilities for both military and civilian applications. HALE UAVs typically cruise at an altitude between 15 km and 20 km, travelling at low speed and circling specific area of interest. Airframe structural point of view, weight reduction of the airframe structure is the most important method to improve the flight efficiency. High modulus CFRP(Carbon Fiber Reinforced Polymer) has been used in designing the structure in order to minimize the airframe weight. With respect to structural design and analysis, the key question is to decide an adequate airworthiness certification base to define suitable load cases for sizing of various structural components. In this study, FAR(Federal Aviation Regulation) 23 have constituted the guidance and benchmark throughout all structural studies. And the MSC/FlightLoads was introduced to analyze the flight loads for the HALE UAV. The MSC/FlightLoads can compute the flexible air load and analyzed loads are distributed on structural model directly. A preliminary structural concept was defined in accordance with the estimated inertial and aerodynamic loads. A FEM analysis was carried out using the MSC/Nastran code to predict the static and dynamic behaviour of UAV structure.

노발리스를 이용한 방사선 수술시 치료테이블을 투과하는 광자선의 감쇠율에 따른 선량 보정방법

김성준,신현수,고승영,박혜리,김자영,이보미,예지원,김성규,Kim, Sung-Joon,Shin, Hyun-Soo,Ko, Seung-Young,Park, Hye-Li,Kim, Ja-Young,Lee, Bo-Mi,Yea, Ji-Woon,Kim, Sung-Kyu 한국의학물리학회 2011 의학물리 Vol.22 No.1

본 연구는 노발리스용 치료테이블(couch top)을 투과하는 광자선의 감쇠율(attenuation rate)을 기하학적 모델을 통해 계산하고 보정함으로써, 치료부위에 정확한 선량이 전달되게 하는데 그 목적이 있다. 실험은 치료테이블을 투과하는 광자선의 투과율과 감쇠율을 기하학적인 모델에 의해 예측하고 이를 바탕으로 실험적으로 측정된 것을 비교 및 분석하였다. 그 결과 기하학적 모델에 의해 예측된 값과 실험값이 매우 잘 일치하는 것으로 나타났다. 또 실제 임상적용의 가능여부를 판단하기 위하여, 척추 방사선수술(spine radiosurgery)환자의 치료계획에 모델링화한 감쇠율을 보정한 뒤 측정한 중심점 선량과 그렇지 않은 것을 비교하였더니, 전자가 치료계획된 것과의 오차율이 감소함을 보였다. 본 논문에서는 치료테이블을 투과하는 광자선의 기하학적 모델을 통해 투과율과 감쇠율을 계산하고 이를 실험적으로 증명하였다. 이 방법은 노발리스를 이용한 방사선 수술뿐만 아니라 일반적인 방사선 치료에 있어서도 매우 유용할 것으로 판단된다. This study has its own goal to deliver the accurate dose on the target volume by calculating and modifying the attenuation rate of photon beam transmitting the couch top with geometric model. The experiment was that the transmission rate and attenuation rate of photon beam transmitting the couch top was predicted by the geometric model, then compared and analyzed with what was measured experimentally based on that. The result showed that the predicted value by the geometric model accorded closely with the experimental value. In addition, in order to judge whether the practical clinical application is available, the point dose, measured after modifying the attenuation rate modelinged according to the treatment plan of a patient of spine radiosurgery, was compared with the one done nothing. The result was that the former showed decreased error range with treatment planned one than the latter. This papers calculated the transmission and attenuation rate with the geometric model transmitting the couch top and verified it experimentally. This method is expected to be very useful in not only the radiosurgery using Novalis but also the general radiation therapy.

항공기 피로수명 입증방법 연구

김성준,김태욱,Kim, Sung Joon,Kim, Tae-Uk 한국항공운항학회 2016 한국항공운항학회지 Vol.24 No.1

This paper reviews and summarizes overall fatigue substantiation method of aircraft. The fatigue substantiation method has been studied using the related regulation and examples of industry application. And the comparisons of fatigue substantiation procedure between safe-life and damage tolerance design have been performed. Fatigue substantiation methods have wide variability depend on design methodology and type of aircraft such as fixed wing and rotorcraft. In this study, fatigue substantiation methodologies have been reviewed using analysis and test methods.