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REPRESENTATION OF SOME BINOMIAL COEFFICIENTS BY POLYNOMIALS

  • Kim, Seon-Hong
    • Bulletin of the Korean Mathematical Society
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    • v.44 no.4
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    • pp.677-682
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    • 2007
  • The unique positive zero of $F_m(z):=z^{2m}-z^{m+1}-z^{m-1}-1$ leads to analogues of $2(\array{2n\\k}\)$(k even) by using hypergeometric functions. The minimal polynomials of these analogues are related to Chebyshev polynomials, and the minimal polynomial of an analogue of $2(\array{2n\\k}\)$(k even>2) can be computed by using an analogue of $2(\array{2n\\k}\)$. In this paper we show that the analogue of $2(\array{2n\\2}\)$. In this paper we show that the analygue $2(\array{2n\\2}\)$ is the only real zero of its minimal polynomial, and has a different representation, by using a polynomial of smaller degree than $F_m$(z).

Feeding Habits of Olive Flounder (Paralichthys olivaceus) Collected from Coastal Waters off Taean, Korea (태안연안에서 서식하는 넙치 (Paralichthys olivaceus)의 식성)

  • Huh, Sung-Hoi;Lee, Dong-Jin;Choo, Hyun-Gi;Park, Joo-Myun;Baeck, Gun-Wook
    • Korean Journal of Fisheries and Aquatic Sciences
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    • v.43 no.6
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    • pp.756-759
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    • 2010
  • The feeding habits of olive flounder, Paralichthys olivaceus were studied using 126 specimens collected from coastal waters off Taean, Korea from April 2008 to March 2009. The total lengths of P. olivaceus ranged from 16.7 to 40.6 cm. P. olivaceus was a piscivore that consumed mainly fishes. The diet also included small quantities of shrimps, cephalopods, polychaetes and mysids. Although, P. olivaceus mainly consumed fishes of all size classes, some degree of change in diet composition was found; i.e. after fishes, smaller individuals fed more on shrimps, whereas larger individuals consumed more cephalopods.

Simulating Rotation Measure toward High Galactic Latitude

  • Akahori, Takuya;Ryu, Dong-Su;Kim, Jong-Soo;Gaensler, Bryan
    • The Bulletin of The Korean Astronomical Society
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    • v.36 no.2
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    • pp.116.2-116.2
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    • 2011
  • We investigate Faraday rotation measure (RM) toward high Galactic latitudes due to the Galactic magnetic field (GMF). The Galactic contribution to RM comes from the global component and the turbulent component of the GMF, and we newly model the latter by incorporating data of MHD turbulence simulations. We find that for the turbulent velocity of ~50 km/s, the standard deviation of the RM due to the GMF toward high Galactic latitudes is close to the observed value, several rad m^{-2}. Yet, the predicted second-order structure function (SF) has values substantially smaller than the observed ones at separation angles of <~ several degree. This suggests that the intergalactic magnetic field (IGMF) significantly contributes to RM toward high Galactic latitudes, particularly at small angular scales. Our work proposes a strategy for surveys to explore the IGMF with LOFAR, ASKAP, MeerKAT, and SKA.

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A Simultaneous Object Tracking and Obstacles Avoidance Controller with Fuzzy Danger Factor of Mobile Robot (퍼지 위험지수에 의한 이동로봇의 물체 추적 및 장애물 회피 주행 제어기)

  • Kang, Jae-Gu;Lee, Joong-Jae;Jie, Min-Seok;You, Bum-Jae
    • The Journal of Korea Robotics Society
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    • v.2 no.3
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    • pp.212-220
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    • 2007
  • This paper proposes a method of avoiding obstacles and tracking a moving object continuously and simultaneously by using new concepts of virtual tow point and fuzzy danger factor for differential wheeled mobile robots. Since differential wheeled mobile robot has smaller degree of freedom to control and are non-holonomic systems, there exist multiple solutions (trajectories) to control and reach a target position. The paper proposes 'fuzzy danger factor' for obstacles avoidance, 'virtual tow point' to solve non-holonomic object tracking control problem for unique solution and three kinds of fuzzy logic controller. The fuzzy logic controller is policy decision controller with fuzzy danger factor to decide which controller's result is more valuable when the mobile robot is tracking a moving object with obstacles to be avoided.

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The effect of Inclined angle of Channel with multi heat source on Thermal Stability of Electronic Equipment (다수의 열원을 가진 채널의 경사각이 전자장비의 열적 안정성에 미치는 영향)

  • 방창훈;김정수;예용택
    • Journal of the Korean Society of Safety
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    • v.16 no.3
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    • pp.12-18
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    • 2001
  • The objective of the present work is to examine the effect of inclined angle of channel with multi heat source on thermal stability of electronic equipment. The heat sources are mounted on both sides of channel walls by two kinds of configuration such as the zig-zag md symmetric on. Conductive heat transfer was estimated by using of thermocouples and heat flux sensor. Thus, convective heat transfer and mean Nusselt number could be obtained. With increased inclined angle, the convective heat transfer coefficient was decreased. When inclined angle was smaller than 30 degree, The average Nusselt number of Big-zag configuration was larger than that of symmetric. Furthermore, when protruding ration was 0.082, the temperature was strongly affected by inclined angle. whereas, when protruding ration was 0.25, the temperature was strongly affected by heat source configuration.

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A Study Stratum Axial Type BLDC Motor Speed Control using TDOF Controller (2자유도 제어기를 이용한 적층형 BLDC 모터의 속도제어 연구)

  • Lee, Jong-Hyun;Baek, Seung-Kil;Lee, Cheol-Hwan;Kang, Seung-Uk;Kim, Yeong-Ju;Han, Kyung-Hee
    • Proceedings of the KIEE Conference
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    • 2000.07b
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    • pp.1162-1164
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    • 2000
  • Stratum Axial Type BLDC Motor has remarkable efficiency owing to outstanding characteristics of speed and torque as well as its small size. In this paper 2-Degree of Freedom PI (TDOF PI) control method is presented in order to improve the efficiency of Stratum Axial Type BLDC Motor and the simulation proves that the separate control for speed characteristic from answering characteristic of load torque particularly allows the construction of superior control system to PI control system. These results are significant in that the improved Stratum Axial Type BLDC Motor enables the production of much smaller, lighter, and noiseless electric home appliances such as air-conditioner and refrigerator.

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Local Market Power Assessment in Uniform Pricing Market (단일요율시장에서의 지역적 시장지배력 평가)

  • Shin, Young-Gyun;Kim, Bal-Ho H.;Jun, Yeoung-Hwan
    • Proceedings of the KIEE Conference
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    • 2003.07a
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    • pp.590-592
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    • 2003
  • The presence of congestion in transmission system can reduce the market size and split bulk system into smaller system. Consequently, this creates the problem concerining Local Market Power and can be main reason for the inclose of practical market price. In this paper, a range of indices have been derived to quantify the degree of local market power through statistical analysis in the uniform pricing market. Application of the indices has been illustrated using the electricity market in Korea. The indices proposed in this paper seem to be effectively applied in electricity market under uniform pricing scheme.

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A Methodological Analysis of Local Market Power and its Application to Korea Electricity Market (송전혼잡에 의한 지역적 시장지배력 분석 기법 및 한국 전력시장에의 적용)

  • Shin Young-Kyun;Lee Dong-jin;Kim Balho H.
    • The Transactions of the Korean Institute of Electrical Engineers A
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    • v.54 no.1
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    • pp.43-50
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    • 2005
  • The presence of transmission congestion may reduce the market size and split the bulk power system into smaller systems. Consequently, this can be a key factor to the increase in market price. This paper analyzes the effect of exercising local market power on the market price, and derives a range of indices which quantify the degree and incentive of local market power through statistical analysis in an electricity market with uniform pricing scheme. The applicability and effectiveness of the derived indices on competitive electricity markets are demonstrated on the Korea electricity market.

A Study on the bonding strength of the after laundering of the adhesive interlining according to laundering methods. (직물접착심지의 세탁방법에 따른 세탁 후 접착강도에 관한 연구)

  • 박채련
    • Journal of the Korean Home Economics Association
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    • v.34 no.5
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    • pp.41-48
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    • 1996
  • The purpose of this paper was to identify bonding strength by laundering methods(dry and wet) of the after laundering of the adhesive interlining. The results of this study were as fallows. 1.As laundery repeated it revealed that the bonding strength was decreased to some degree regardless of the kinds of face cloth, laundering methods & adhesive interlining. 2. Bonding strength of woven adhesive interlining after and before ironing is different by its weave: A1>A3>A2. 3. Bonding strength before cleaing is smaller than that after laundering with ironing. 4. As for laundering methods, while dry cleaning is excellent with little influence on bonding strength. It doesn't deform the shapes of dress, in cases of woven adhesive interlining.

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Comparison of Particulate Matters in a Compression Ignition Engine under Mid-load Condition Fuelled with Diesel and Biodiesel fuel (압축 착화 엔진의 중부하 운전 영역에서 디젤 및 폐식용유 바이오디젤 연소 시 발생하는 입자상 물질에 관한 특성 비교)

  • Hwang, Joonsik;Jung, Yongjin;Qi, Donghui;Bae, Choongsik
    • 한국연소학회:학술대회논문집
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    • 2013.06a
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    • pp.29-31
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    • 2013
  • In this study, the characteristics of particulate matters (PM) from diesel and biodiesel fuel combustion was experimentally investigated. The experiment was performed in a single cylinder common-rail compression ignition engine. The fuels were injected at -5 CAD (Crank angle degree) ATDC (After top dead center) with 80 MPa injection pressure. Size distribution of PM was measured by scanning mobility particle sizer (SMPS) and morphology of PM was studied by transmission electron microscopy (TEM). PM from biodiesel shows lower emission level and smaller primary particles.

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