• Title/Summary/Keyword: 곡선형

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A new decomposition algorithm of integer for fast scalar multiplication on certain elliptic curves (타원곡선상의 고속 곱셈연산을 위한 새로운 분해 알고리즘)

  • 박영호;김용호;임종인;김창한;김용태
    • Journal of the Korea Institute of Information Security & Cryptology
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    • v.11 no.6
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    • pp.105-113
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    • 2001
  • Recently, Gallant, Lambert arid Vanstone introduced a method for speeding up the scalar multiplication on a family of elliptic curves over prime fields that have efficiently-computable endomorphisms. It really depends on decomposing an integral scalar in terms of an integer eigenvalue of the characteristic polynomial of such an endomorphism. In this paper, by using an element in the endomorphism ring of such an elliptic curve, we present an alternate method for decomposing a scalar. The proposed algorithm is more efficient than that of Gallant\`s and an upper bound on the lengths of the components is explicitly given.

Size selectivity of round traps for greenling (Hexagrammos otakii) in the western sea of Korea (원통형 통발에 대한 서해안 쥐노래미 (Hexagrammos otakii)의 망목선택성)

  • 신종근;박해훈
    • Journal of the Korean Society of Fisheries and Ocean Technology
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    • v.39 no.3
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    • pp.174-180
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    • 2003
  • This study investigated the size selectivity of the round traps for greenling (Hexagrammos otakii) in the western sea of Korea. The selection curve for the greenling from the experiments on Oct. 2000 and Ar. 2001 was fitted by Kitahara's method to a polynomial equation and two parameter logistic selection curve. The selectio curve of the latter was more reasonable than that of the former. The equation of selectivity curve obtained using a logistic function with least square method was , s(R)=1/1+exp(-1.1169R+6.4565), where R=1/m, and 1 and m are total length and mesh size, respectively. The size selectivity curve showed that the current regulated mesh size(35mm) in case of the round trap was close to the L50 (37.0mm) of the selection curve for the biological minimum length (21.4cm) of the greenling.

Development of IDF Curves under Non-Stationary for Agricultural Reservoir Watershed (비정상성을 고려한 농업용저수지 유역의 IDF 곡선 분석)

  • Ryu, Jeong Hoon;Kang, Moon Seong;Song, Inhong;Park, Jihoon;Jun, Sang Min
    • Proceedings of the Korea Water Resources Association Conference
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    • 2015.05a
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    • pp.596-596
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    • 2015
  • 수공구조물 설계의 기본이 되는 설계홍수량은 정상성 (Stationary) 가정 하에 산정되고 있다. 정상성은 분포형의 매개변수들이 시간에 따라 변화하지 않는 것을 의미한다. 그러나 최근 기후변화로 인한 극치사상의 크기와 빈도가 비정상적인 증가 추세를 나타내고 있어 강우자료의 변화 특성을 정확하게 파악하기 위해서는 비정상성 (Non-Stationary)에 대한 고려가 필요한 실정이다. 따라서 본 연구에서는 비정상성을 고려한 미래 IDF (Intensity-Duration-Frequency) 곡선을 산정하고, 기후변화에 의한 IDF 곡선의 특성 변화를 분석하고자 한다. 연구대상지로 충청남도 공주시에 위치한 계룡저수지를 선정하였고, 계룡저수지에 인접한 대전 관측소의 과거 강우자료 (1981-2010년)를 수집하였다. 또한 기상청에서 제공하는 RCP4.5 시나리오 기반의 미래 강우자료를 편의보정하여 3개 기간 (2011-2040년, 2041-2070년, 2071-2100년)에 대한 미래 강우자료를 구축하였고, 지속시간별 연최대치 강우자료를 추출하여 경향성 분석 및 비정상성 빈도해석을 실시하였다. 강우자료의 확률분포형과 매개변수 추정방법으로는 GEV (Generalized Extreme Value)분포와 L-모멘트법을 선정하였다. 이를 바탕으로 과거 및 미래 기간별 IDF 곡선을 산정하였으며, 그 특성을 비교분석하였다. 본 연구에서 도출한 IDF 곡선은 계룡저수지의 설계한도를 재검토하는데 활용될 수 있으며, 본 연구에서 제시한 방법은 기후변화에 따른 농업용저수지의 안정성 검토에 사용할 수 있을 것으로 사료된다.

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A High-Performance ECC Processor Supporting NIST P-521 Elliptic Curve (NIST P-521 타원곡선을 지원하는 고성능 ECC 프로세서)

  • Yang, Hyeon-Jun;Shin, Kyung-Wook
    • Journal of the Korea Institute of Information and Communication Engineering
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    • v.26 no.4
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    • pp.548-555
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    • 2022
  • This paper describes the hardware implementation of elliptic curve cryptography (ECC) used as a core operation in elliptic curve digital signature algorithm (ECDSA). The ECC processor supports eight operation modes (four point operations, four modular operations) on the NIST P-521 curve. In order to minimize computation complexity required for point scalar multiplication (PSM), the radix-4 Booth encoding scheme and modified Jacobian coordinate system were adopted, which was based on the complexity analysis for five PSM algorithms and four different coordinate systems. Modular multiplication was implemented using a modified 3-Way Toom-Cook multiplication and a modified fast reduction algorithm. The ECC processor was implemented on xczu7ev FPGA device to verify hardware operation. Hardware resources of 101,921 LUTs, 18,357 flip-flops and 101 DSP blocks were used, and it was evaluated that about 370 PSM operations per second were achieved at a maximum operation clock frequency of 45 MHz.

Parametric Study of Curved Guideways for Urban Maglev Vehicle (도시형 자기부상열차의 곡선 가이드웨이 매개변수 연구)

  • Han, Jong-Boo;Kim, Ki-Jung;Han, Hyung-Suk;Kim, Sung-Soo
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.38 no.3
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    • pp.329-335
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    • 2014
  • A maglev vehicle of middle-low speed subjected to both a lift force and a guidance force by a U-shaped single electromagnet is operated over a curved guideway without a guidance controller. Therefore, it is required to carefully decide the curve shape for preventing contact between the vehicle and the guiderail for the case that a Maglev vehicle is operated over a curved guideway with a small radius. Specifically, the shape of the transition curve is very important from the stability viewpoint. This study analyzes the influence of curve shape on maglev stability through parametric composition of the transition curve during vehicle guidance. To this end, a multibody dynamics-based threedimensional Maglev vehicle model was developed. The model was integrated with the vehicle, curved guideway, electromagnets, and their controllers. Using this model, a realistic parametric study including the curved guideway was carried out. The results of research should be considered usefully in the design of bogies and the curve shape.

Free Vibration of Horizontally Curved Beams with Clothoid Transient Curve (크로소이드 완화곡선을 갖는 수평 곡선보의 자유진동)

  • 이병구;진태기;이태은
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.15 no.1
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    • pp.189-195
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    • 2002
  • This paper deals with the free vibration of horizontally curved beams with transition currie. Based on the dynamic equilibrium equations of a curved beam element subjected to the stress resultants and inertia forces, the governing differential equations are derived for the out-of-plane vibration of curved beam with variable curvature. These equations are applied to the beam having transition curve in which the clothiod curve is chosen in this study. The differential equations are solved by the numerical methods lot calculating the natural frequencies and mode shapes. For verifying theories developed herein, the frequency parameters obtained from this studs and ADINA are compared with each other. As the numerical results, the various parametric studies effecting on natural frequencies are investigated and those results are presented in tables and figures.

접촉쌍성 AA UMa의 재검토

  • Song, Mi-Hwa;Kim, Cheon-Hwi;U, Su-Wan
    • The Bulletin of The Korean Astronomical Society
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    • v.37 no.2
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    • pp.146.2-146.2
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    • 2012
  • 2008년부터 2012년에 걸친 관측기간 동안 총 21일간 관측하여 AA UMa의 BVRI 광도 곡선을 획득하였다. AA UMa의 I 필터 광도 곡선은 이번에 처음으로 얻어진 것이다. 또한 극심시각을 추가적으로 획득하기 위하여 2005 ~ 2008년까지 총 8일간 AA UMa의 극심 부근의 측광관측을 수행하였고, SuperWASP에서 공개하는 AA UMa의 측광 자료를 수집하여 총 31개의 새로운 극심시각을 결정하였다. 우리의 새로운 극심시각을 포함하여 83년 동안의 AA UMa 극심시각을 수집하여 총 250개의 극심시각으로 주기 변화연구를 수행하였다. 그 결과 AA UMa 계는 $3.30{\times}10^{-11}d/yr$의 영년 주기 증가 위에 58.7년의 주기적인 변화가 겹쳐 발생한다. 주기적인 변화의 원인이 제3천체에 의해 발생한다고 가정했을 때 제3천체의 최소 질량은 $0.28M_{\odot}$이다. 이전 연구자의 광도곡선(Meinunger(1976), Wang et al.(1988), Lee et al(2011))을 수집하여 우리의 광도곡선(2008, 2012)과 함께 각각 주기변화가 보정된 통일된 기산점을 사용하여 광도곡선을 분석하였다. 모든 광도곡선에서 0.75 위상에서 밝기가 더 어두워지는 O'Connell effect가 발생하였고, 일부 광도곡선은 부식에서 식의 깊이가 주식보다 깊어지는 시기를 가진다. 이는 스펙트럼 유형이 F0-F5보다 만기형 별에서 흑점이 부식의 깊이에 영향을 주어 주식보다 깊어지는 AC Boo, TY UMa 등에서 보여 지는 특징이다. 우리는 WD 프로그램을 이용하여 광도곡선 중 B-V 색지수 그래프에서 식 이외부분에서 변화가 적고 광도곡선의 O'Connell effect의 크기가 작은 2008 광도곡선으로 광도해를 결정하였다. 전형적인 TY UMa형 별과 같이, 우리의 광도해 역시 W-subtype의 결과를 나타낸다. 결정된 광도해를 다른 광도곡선에도 적용시켜 광도곡선에 나타나는 흑점의 영향을 살펴보았다. 마지막으로 주기 분석 결과와는 달리 제 3천체의 광도는 검출 되지 않았다.

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CCD PHOTOMETRY OF CONTACT BINARY WZ Cephei (접촉쌍성 WZ Cephei의 CCD 측광관측)

  • Lee, Woo-Baik;Kang, Young-Woon;Oh, Kyu-Dong
    • Journal of Astronomy and Space Sciences
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    • v.25 no.1
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    • pp.19-24
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    • 2008
  • We present the full BVR light curves and five times of minima of WZ Cep to provides a complete photometric solution and to confirm the long term variation of the light curves. Our light curves show symmetry while previous light curves of Hoffmann (1984) show a high degree of asymmetry (the O'Connell effect). The BVR light curves were analyzed by the method of Wilson-Devinney Differential Correction. Our photometric results show a good agreement with those of Djurasevic et al. (1998).

The study on preference according to visual shape of Hangeul logotype (한글 로고타입의 시각적인 형태에 따른 선호도에 관한 연구)

  • Shin, Yoon-Jhin
    • Science of Emotion and Sensibility
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    • v.12 no.2
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    • pp.193-204
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    • 2009
  • The importance of corporate identity design has been recently highlighted in the marketing. However, logotype among marks that represent the image of a company has been neglected relatively comparing to symbol mark and logo mark. A logotype should be something to represent the personalities and characteristics of a company in suggestive ways. For such reasons, the image expressions by shape are thought to be important. Consequently, the formative aspects of visual communication design should be examined with emphases. However, it is true that studies on the formative aspects regarding logotypes and logo marks, especially studies on the shapes of font types and the responses of consumers to them, are lacking. Accordingly, this study examined the visual shape of logotype preferred by consumers and the shape of logotype preferred by consumers according to the business type of companies. As a result of research, there were differences in the elements of logotype preferred according to the business type of companies; as for construction companies is preferred the body of the type of dotum font with bold stem, without serif, with oblique, straight-line and curve-line endings; as for banks is preferred the body of the type of dotum font without serif, with oblique ending and with one-side curve style of serif, the stem in a middle level; as for laboratories is preferred the body of the type of dotum font with oblique ending, with bold stem and straight-line serif. The elements that should be commonly applied to construction companies, banks and laboratories appear to be the oblique ending but the curve-line ending and shallow stem seemed to be avoided. On the other hand, the serif, ending and gulim appeared to be applied differently according to the business type.

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Distribution of Wheel Loads on Curved Steel Box Girder Bridges (곡선 강상자형교의 윤하중 분배)

  • Kim, Hee-Joong;Lee, Si-Young
    • Journal of the Korean Society of Hazard Mitigation
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    • v.8 no.1
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    • pp.9-14
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    • 2008
  • In the case of horizontally curved bridges, the use of curved composite box girder bridges are increased due to its functionality and for aesthetical reason. As it compared with the open section, the steel box girder bridges have advantages to resistant of distortion and corrosion. In practice the grid analysis is conducted by utilizing only the cross beam. Since the stiffness of the concrete slab is not included in the grid analysis, the cross beam is induced the distribution of the live load. In this study the affects of the radius of curvature, the number of diaphragm and cross beam to the load distribution of the curved steel box girder bridge was investigated by applying the finite element method. The results indicate that the curvature of curved bridge had a large affect of the load distribution and as the curvature was increased the load distribution factor was increased. A single diaphragm at the center of girder is important role for the load distribution effects and structural stability, but additional diaphragm did not affect it as much. The affects of the cross beam to the load distribution were investigated and its influence was minor. It can be safely concluded that the addition of cross beam does not aid the purpose of the live load distribution. And the stiffness of concrete slab for the load distribution effects should be concerned in the design of curved steel box girder bridges.