수학사적 관점에서 오일러 및 베르누이 수와 리만 제타함수에 관한 탐구

김태균,장이채,Kim, Tae-Kyun,Jang, Lee-Chae 한국수학사학회 2007 Journal for history of mathematics Vol.20 No.4

베르누이가 처음으로 자연수 k에 대하여 합 $S_n(k)=\sum_{{\iota}=1}^n\;{\iota}^k$에 관한 공식들을 유도하는 방법을 발견하였다([4]). 그 이후, 리만 제타함수와 관련된 베르누이 수와 오일러 수에 관한 성질들이 연구되어왔다. 최근에 김태균은 $\mathbb{Z}_p$상에서 p-진 q-적분과 관련된 확장된 q-베르누이 수와 q-오일러 수, 연속된 q-정수의 멱수의 합에 관한 성질들을 밝혔다. 본 논문에서는 연속된 q-정수의 멱수의 합에 관한 역사적 배경과 발달과정을 고찰하고, 오일러 및 베르누이 수와 관련된 리만 제타함수가 해석적 함수로써 값을 가지는 문제를 q-확장된 부분의 이론으로 연구되어온 q-오일러 제타함수에 대해 체계적으로 논의한다. J. Bernoulli first discovered the method which one can produce those formulae for the sum $S_n(k)=\sum_{{\iota}=1}^n\;{\iota}^k$ for any natural numbers k. After then, there has been increasing interest in Bernoulli and Euler numbers associated with Riemann zeta functions. Recently, Kim have been studied extended q-Bernoulli numbers and q-Euler numbers associated with p-adic q-integral on $\mathbb{Z}_p$, and sums of powers of consecutive q-integers, etc. In this paper, we investigate for the historical background and evolution process of the sums of powers of consecutive q-integers and discuss for Euler zeta functions subjects which are studying related to these areas in the recent.

기계적 자극에 대한 백서 치주인대 섬유아세포의 변화

김태균,김창성,조규성,채중규,김종관,최성호,Kim, Tae-Gyun,Kim, Chang-Sung,Cho, Kyoo-Sung,Chai, Jung-Kiu,Kim, Chong-Kwan,Choi, Seong-Ho 대한치주과학회 2001 Journal of Periodontal & Implant Science Vol.31 No.2

Periodontal disease is characterized by inflammation and subsequent loss and/or damage to tooth-supporting tissues such as bone, cementum,and periodontal ligament. Periodontal ligament and cementum are the key tissues in the initial process of regeneration following periodontal disease. Therefore, studies on cementoblasts, which form cementum are emphasized. It is still unclear which cells cementoblast differentiate from. This study was conducted under the hypothesis that PDL fibroblast can differentiate into either cementoblast or osteoblast depending on the conditions of surrounding tissue. Clinically, with excessive traction force of orthodontic appliances or excessive occlusion hypercementosis is observed, and this has been confirmed histologically. Consequently, activation of cementoblast can be expected in rats when mechanical stimuli are given to PDL fibroblast. Therefore, the purpose of this article is to prove that PDL fibroblast differentiates into cementoblast in rats under mechanical stimuli using histologic and molecular methods. In this study, twenty rats were given hard diet. Ten of them were sacrificed after 1 week, and the others were sacrificed after two weeks. Slides were made from tooth specimen, and they were studied under the microscope. In addition, PDL fibroblast and cementum from the extracted teeth were analyzed with Northern blotting. In histologic examination, as time passed, PDL fibroblast migrated to the dentin side, differentiated into cementoblast, and formed new cementum. In Northern blotting, it was found that mRNA expression of cementoblast-specific proteins such as BSP, OC, OPN, and type I collagen were more prominent in rats sacrificed after 2 weeks of hard-diet than rats sacrificed after 1 week. From these findings we can conclude that PDL fibroblast can differentiate into cementoblast under mechanical stimuli. We think that 'Rat Models' used in this study will be beneficial to future studies regarding cementoblast.

표준.시험인증 기술 동향 - 케이블 방송망에서의 전송기술 표준화 동향

김태균,Kim, Tae-Gyun 한국정보통신기술협회 2014 TTA저널 Vol.152 No.-

PSS 튜닝을 위한 기본 연구 PART II : PSS 실계통 최적 정수 선정을 위한 튜닝기법

김태균,신정훈,윤용범,김동준,문영환,백영식,Kim, Tae-Gyun,Sin, Jeong-Hun,Yun, Yong-Beom,Kim, Dong-Jun,Mun, Yeong-Hwan,Baek, Yeong-Sik 대한전기학회 2000 전기학회논문지A Vol.49 No.7

Based on the results in the first-part paper, PSS tuning methods including the determination of PSS gain and compensation of phasor lagging are investigated in this second part. In the phase compensation, PSS should compensate phase lagging, resulted from power system-generator-excitation system loop, to provide damping torque in equal phase with the generator speed. Also, PSS gain should be determined to provide maximum damping torque as much as possible without the other modes unstable. In this paper, gain tuning method using the root-locus and the phase compensation of PSS at the one machine with infinite bus system are presented. The differences between PSS tuning at the tuning condition and at the least-stable condition are also discussed.

유체$\cdot$구조물 상호 작용 기법을 이용한 오일 펜스의 변형 예측

김태균,김욱,허남건,Kim T. G.,Kim W.,Hur N. 한국전산유체공학회 2000 한국전산유체공학회지 Vol.5 No.3

In the present study a method of computing fluid-structure interaction is presented to simulate the deformation shape of an oil fence which is used to contain or to divert the split oil in sea water. The computation is performed by taking into account of the force and moment balance in each computational element of the oil fence. The forces and moments acting on each element of the structure is computed from the flow analysis, which in turn is used to predict deformed shape of the structure until the procedure converges. The flexibility of the oil fence was also considered in the analysis. It is shown from the present study that the predicted deformed shapes agree quite well with the available experiment data.

싼샤댐 견학 보고

김태균,Kim Tae-Gyun 한국수자원학회 2006 물과 미래(한국수자원학회지) Vol.39 No.8

택지조성원가와 발생원가의 오차에 관한 실증연구 : 택지개발사업지구를 중심으로

김태균,장인석,이덕복,김옥연,Kim, Tae-Gyun,Chang, In-Seok,Lee, Duck-Bok,Kim, Ok-Yon 한국토지주택공사 토지주택연구원 2012 LHI journal of land, housing, and urban affairs Vol.3 No.1

현행 우리나라 택지조성원가 산정체계는 택지조성과정에서 준공이전에 추정한 조성원가와 조성과정에서 돌발적으로 발생하는 변동요인이 고려된 준공시의 발생원가로 구분된다. 따라서 두 원가사이에 발생되는 격차로 인해 분양가격에 영향을 미치는 발생원가는 산정체계에 대한 문제점을 지적 받아오고 있으므로 발생원가의 객관성을 높이기 위해서는 예측가능한 돌발상황에 대해 조성원가 산정시 반영되는 방안이 모색되어야 한다. 이에 본 연구에서는 조성원가와 발생원가 사이에 발생되는 격차율 가운데 예측이 가능한 규모를 유효격차율로 정의하고 각 사업지구의 다양한 특성을 고려한 유효격차율을 추정하고자하였다. 따라서 각 사업지구의 다양한 특성을 유형으로 분류하기 위해 5개의 주제별 카테고리를 설정하고, 카테고리들을 복합화한 복합카테고리를 이용하여 유효격차율을 추정하고자 하였으며 추정모형 검정결과 신뢰성이 매우 높은 것으로 분석되었다. 향후 지속적인 자료축척으로 안정화된 추정모형의 유효격차율이 조성원가에 반영되었을 경우 발생원가와의 격차해소에 기여할 것으로 기대된다. The current land development cost price system is classified as the creating land by construction price and composition changes that occur sporadically in the process of completion at the source of the factors by incurred cost price. Housing for land cost price system is a lack of objectivity which scheme of the such a gap due to the land in accordance construction and incurred cost price system so far. Therefore, in order to increase the objectivity of costing the costing of predictable surprises should be reflected in the process. Under such a background, this study defined the effective differential ratio as the predictable, estimated them for various characteristics of each business district to reflect. For this, set the properties category of five types to attributes and making the complex category and Look-up table. Which result of model validation is showed a high reliability. Therefore, Continuous accumulation of material in the future, when them to reflect the construction cost, will contribute to the bridge the gap the construction cost between incurred them.

지역 및 기능적 특성을 고려한 복합환승시설 유형분류

김태균,이삼수,변완희,Kim, Tae-Gyun,Lee, Sam-Su,Byun, Wan-Hee 한국토지주택공사 토지주택연구원 2013 LHI journal of land, housing, and urban affairs Vol.4 No.1

In recent years, it was recognized that aurban policy paradigm of sustainable urban growth management and transportation policies have been shifted : from the era of automobile-oriented policy to the era of public transport policy. Against this backdrop, the introduction of the multi-modal transfer center is very consequential. Therefore, it is necessary for the introduction of wide-area and local-centric transfer facilities, as well as the center of the country-led national backbone transfer center. This study was applicable at the multi-modal transfer center plans to introduce guidelines to provide transit facilities, considering the regional and functional characteristics to classify the types of multi-modal transfer center. The final types of multi-modal transfer center were classified into six, and by considering the combination of the criteria to be classified. The multi-modal transfer center type classification based on the case analysis of the types of facilities at domestic and abroad. If the data of multi-modal transfer are accumulated continuously, can expect a more reliable type classification. 최근 도시의 정책적 패러다임이 지속가능한 도시성장관리 중심으로 전환됨에 따라 교통정책도 승용차중심에서 대중교통중심으로 정책변화가 요구되고 있다. 이러한 배경 하에 복합환승센터의 도입은 매우 필연적이라고 볼 수 있다. 따라서 국가에서 주도하는 국가기간망중심의 환승센터 뿐 만 아니라 광역 및 지역중심의 환승시설에 대한 도입도 필요한 실정이다. 이에 본 연구에서는 효과적인 복합환승시설 도입을 위해 다양한 지역적 특성(영향권, 입지위치, 도시규모, 도시기능)과 환승시설기능(환승공간 이용방법, 연계교통수단)을 고려하여 66개의 사례를 유형화하였다. 또한 통계적인 유의성 검정을 통해 영향권-연계교통수단-도시기능조합과 도시규모-입지위치조합의 2가지 복합화된 유형을 제시하였다. 유형분류를 이용한 기존의 66개 사례지역을 정리해 본 결과 국내외 모두 비교적 규모가 큰 대도시를 중심으로 지역간 연계를 기반으로 하는 복합환승시설이 주류를 이루고 있음을 알 수 있다. 본 연구의 결과를 통해 향후 복합환승시설에 대한 자료가 지속적으로 축적되어질 경우 좀 더 신뢰성이 높은 유형분류의 결과를 기대해 본다.

인중, 비익, 협골궁 협계대 및 Hamular Notch 간거리와 상악 전치 폭경에 관한 통계학적 연구

김태균,장완식,Kim, Tae-Gyun,Jang, Wan-Sik 대한치과보철학회 1983 대한치과보철학회지 Vol.21 No.1

초소형 압축기용 초고속 전동기 내부의 복합 열전달 해석

김태균,허남건,정시영,전승배,Kim, T. G.,Hur, N.,Jeong, S.,Jeon, S. B. 한국유체기계학회 2001 한국유체기계학회 논문집 Vol.4 No.1

In a small centrifugal compressor system, a high-speed motor needs to be developed to drive impellers directly. Heat is generated by both electrical heating due to copper coil resistance and aerodynamic heating in the gap between the rotor and stator in a high-speed motor. Removal of the heat is essential to the design of such motors since most magnetic materials are brittle and can be easily fractured by the heat. In the present study the cooling flow fields and temperature distributions are analyzed by using computational fluid dynamics simulation for a high-speed motor which has air cooling system as well as water cooling system. In the analysis, a conjugate heat transfer problem is solved by considering both convective heat transfer in the cooling system and conduction heat transfer in solid parts. Based on design drawings of a motor, air cooling system and water cooling system are analyzed to obtain temperature field and thus to check the coiling system performance. Also the cooling performance are studied for various flow rates of cooling air and water at the inlets.