• 제목/요약/키워드: L-Curve

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머신러닝 기법을 이용한 미계측 유역에 적용 가능한 지역화 유황곡선 산정 (Estimation of regional flow duration curve applicable to ungauged areas using machine learning technique)

  • 정세진;이승필;김병식
    • 한국수자원학회논문집
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    • 제54권spc1호
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    • pp.1183-1193
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    • 2021
  • Low flow는 하천수의 공급관리 및 계획, 관개용수 등 다양한 분야에 영향을 미친다. 이러한 유황곡선을 산정하기 위해서는 30년 이상의 충분한 기간의 유량자료의 확보가 필수적이다. 하지만 국가하천 단위 이하의 하천의 경우 장기간의 유량자료가 없거나 중간에 일정기간 동안 결측된 관측소가 있어 하천별 유황 곡선을 산정하기에 한계가 있다. 이에 과거에는 미계측 유역의 유황을 예측하기 위해 다중회귀분석(Multiple Regression Analysis), ARIMA 모형 등 통계학적 기반의 기법들을 사용하였지만, 최근에는 머신러닝, 딥러닝 모형의 수요가 증가하고 있다. 이에 본 연구에서는 최신 패러다임에 맞는 머신러닝 기법인 DNN기법을 제시한다. DNN기법은 ANN기법의 단점인 학습과정에서 최적 매개변수 값을 찾기 어렵고, 학습시간이 느린 단점을 보완한 방법이다. 따라서 본연구에서는 DNN 모형을 이용하여 미계측 유역에 적용 가능한 유황곡선을 산정하고자 한다. 먼저, 유황곡선에 영향을 미치는 인자들을 수집하고 인자들 간의 다중공선성 분석을 통해 통계적으로 유의한 변수를 선정하여, 머신러닝 모형에 입력자료를 구축하였다. 통계적 검증을 통해 머신러닝 기법의 효용성을 검토하였다.

THE $L_2$ NORM OF B$\acute{E}$ZIER CURVES

  • BYUNG-GOOK LEE
    • Journal of applied mathematics & informatics
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    • 제3권2호
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    • pp.245-252
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    • 1996
  • We described a relationship of the $L_2$ norm of the $L_2$norm of a Bzier curve and l2 norm of its confrol points. The use of Bezier curves finds much application in the general description of curves and surfaces and provided the mathematical basis for many computer graphics system. We define the $L_2$ norm for Bezier curves and find a upper and lower bound for many computer graphics system. We define the $L_2$ norm for Bezier curves and find a upper and lower bound for the $L_2$ norm with respect to the $L_2$ norm for its control points for easy computation.

CENTROIDS AND SOME CHARACTERIZATIONS OF CATENARIES

  • Kim, Dong-Soo;Moon, Hyung Tae;Yoon, Dae Won
    • 대한수학회논문집
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    • 제32권3호
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    • pp.709-714
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    • 2017
  • For every interval [a, b], we denote by (${\bar{x}}_A,{\bar{y}}_A$) and (${\bar{x}}_L,{\bar{y}}_L$) the geometric centroid of the area under a catenary y = k cosh((x - c)/k) defined on this interval and the centroid of the curve itself, respectively. Then, it is well-known that ${\bar{x}}_L={\bar{x}}_A$ and ${\bar{y}}_L=2{\bar{y}}_A$. In this paper, we show that one of ${\bar{x}}_L={\bar{x}}_A$ and ${\bar{y}}_L=2{\bar{y}}_A$ characterizes the family of catenaries among nonconstant $C^2$ functions. Furthermore, we show that among nonconstant and nonlinear $C^2$ functions, ${\bar{y}}_L/{\bar{x}}_L=2{\bar{y}}_A/{\bar{x}}_A$ is also a characteristic property of catenaries.

마찰곡선을 반영한 인공 고관절 마찰소음 유한요소 해석연구 (Investigation of Hip Squeak Using Finite Element Modeling with a Friction Curve)

  • 남재현;박기완;강재영
    • 대한기계학회논문집A
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    • 제40권1호
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    • pp.33-39
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    • 2016
  • 본 논문은 복소수 고유치해석을 통하여 세라믹-세라믹 인공고관절 시스템에서의 동적 불안정성을 연구하고자 하였다. 시스템 파라메터 연구를 통해서 모드 연성 기반의 불안정성을 연구하였고, 음의 기울기를 포함하는 유한요소 해석 모델을 구현하여 음의 기울기에 의한 불안정성에 대해 조사하였다. 그 결과 토션이 지배적인 시스템 모드가 음의 기울기에 의해 불안정해 지며, 이는 축하중에 크게 영향을 받는다는 점을 확인하였다.

폴리머 층 전사 및 처짐 현상을 이용한 곡선 형태의 PMMA 나노채널 제작 (Curve-typed PMMA Nanochannel Fabrication using Polymer Layer Transfer and Collapse Technique)

  • 조영학;김성동;황지홍
    • 한국정밀공학회지
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    • 제29권1호
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    • pp.114-120
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    • 2012
  • We present a simple and low-cost method to fabricate poly(methyl-methacrylate) (PMMA) nanochannels with various shapes by combining the standard optical lithography with a PMMA layer transfer and collapse technique. We utilized PMMA membrane reflowing/collapsing phenomena into microchannels to fabricate nanochannels at both corners of arbitrarily-shaped microchannels. This allows nanochannels with various shapes such as curved nanochannels as well as straight nanochannels to be easily fabricated since the shape of the microchannel determines the shape of the nanochannels. This nanochannel fabrication method is simple, flexible, and low-cost since the standard optical lithography with low-resolution optical masks can be used to fabricate nanoscale channels as small as 100 nm wide with various shapes. Also, the sealing of nanochannels can be naturally achieved while the nanochannels are formed through the polymer layer transfer and collapse.

소형 무인헬기를 이용한 항공방제기술 (II) - 동력부의 개발 - (Aerial Application using a Small RF Controlled Helicopter (II) - Development of Power Unit -)

  • 석태수;구영모;이채식;신시균;강태경;김승희
    • Journal of Biosystems Engineering
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    • 제31권2호
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    • pp.102-107
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    • 2006
  • Opening agricultural market progresses radically, reducing cost of high quality agricultural products becomes urgent. Aerial application using an agricultural helicopter helps precise and timely spraying and reduces labor intensity and pollution. The development of an agricultural helicopter was necessary for taking advantages of both technique and economy. In this study, as the first stage of developing an unmanned helicopter capable of 20kg payload, an engine was selected and a prototype transmission was designed for an agricultural helicopter. Prony type dynamo-meter was constructed, the engine was tested and then performance curve was obtained. The centrifugal clutch was engaged at the rotation speed of 3,500-4,000 rpm. Maximum power was expected at the engine speed of 5,900-6,200 rpm when adjusted at the optimal output. Based on the test results, the transmission was designed for driving main rotor shaft.

LNG선박용 내조시스템 소재의 기계적 특성 및 피로강도 평가 (Evaluation of the Fatigue Strength and the Mechanical Properties for Cargo Containment System in LNG Ship)

  • 심희진;김민태;윤인수;김영균;김정규
    • 대한기계학회:학술대회논문집
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    • 대한기계학회 2007년도 춘계학술대회A
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    • pp.1-6
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    • 2007
  • The membrane type LNG(Liquefied Natural Gas) cargo containment system is a special design structure for the large deformation behavior at LNG temperature$(-162^{\circ}C)$. The design of membrane is required great confidence so that membrane can plat role in the tightness of flammable fluid storing. LNG cargo containment is loaded and unloaded LNG between twice and five times in a week. During this process, the membrane has large deformation behavior due to the variation of temperature and pressure to the self weight. In this study, the evaluation of the fatigue strength of membrane is very important to determine the design life of LNG storage tank and to evaluate the mechanical properties at the LNG temperature. Also, in the view point of large deformation, the evaluation method is applied conservatively $\epsilon-N_f$ curve of SUS 304L.

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고상에서 용액으로 부터 카드뮴 추출과 잔유물 측정 (Cadmium Extraction from Solutions by Solid-Phase and its Trace Determination)

  • Ashrafi, F.;Attaran, A.M.;Kermani, N. Memar
    • 대한화학회지
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    • 제52권2호
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    • pp.133-139
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    • 2008
  • 고상추출 매질로 bis-(2-ethylhexyl)phthalate를 포함하는 polyvinyl chloride막을 사용하여 카드뮴의 잔유양 을 측정하기 위한 새로운 민감하고 선택적인 분광광도법을 연구하였다. Bis-(2-ethylhexyl)phthalate는 가소제로 사용되 었다. 수용액에서 Cd(II)은 색을 가진 Cd(II) - I- - MG 착체(여기서 MG는 malachite green이다). 형으로 있는 막에 의해 트랩되었고, 카드뮴 착체는 막에 농축되었다. 그린색의 막의 흡수는 분광광도법을 사용하여 629 nm에서 측정되었 다. 카드뮴 농도는 Cd(II) 농도와 25분 동안 착색후 막의 흡수 사이에 관계로 나타내는 검정곡선으로부터 계산하였다. 검정곡선은 시험용액에서 10-760 μgL-1 cadmium 범위에서 선형이었다. 3Sbl criterion의 검출한계는 1.8199 μgL-1 상 대 표준편차(RSD)는 4% (n=5).보다 적다. 제안된 방법은 Tadjan강(Sari-Iran), 에 있는 카드뮴의 잔량을 성공적으로 측 정하였다. 28.7 μgL-1의 평균 값을 얻었다.

금호강 유역의 대장균 부하지속곡선 개발 및 적용 (Development and Application of Coliform Load Duration Curve for the Geumho River)

  • 정강영;임태효;김경훈;이인정;윤종수;허성남
    • 한국물환경학회지
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    • 제28권6호
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    • pp.890-895
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    • 2012
  • Duration curves describe the percentage of time that a certain water quality (total/fecal coliform (=TC/FC)) or discharge is exceeded. The curves methodology are usually based on daily records and are useful in estimating how many days per year and event will be exceeded. The technique was further applied to estimated TC/FC loading to the Geumho River, using the daily mean flow rate and TC/FC concentration data during January, 2001 and December, 2011 for the Geumhogang6 (=Seongseo water level station) where an automated monitoring station is located in Gangchang-bridge. Low flow of the Seongseo (=11.1 cms) was equivalent to 75.3% on an exceedance probability scale. Load Duration curve for TC/FC loading at the Seongseo was constructed. Standard load duration curve was constructed with the water quality criteria for class III (TC/FC concentration = 5000/1000 CFU/ 100 mL). By plotting TC/FC observed load duration curve with standard load duration curve, it could be revealed that water quality do not meet the desired water quality for 68.8/11.2% on an exceedance probability scale. IF linear correlation between flow rate and coliform concentration is assumed, it can be interpreted that water quality exceed desired criteria when daily average flow rate is over 11.9/109.9 cms.

Estimation of viscous and Coulomb damping from free-vibration data by a least-squares curve-fitting analysis

  • Slemp, Wesley C.H.;Hallauer, William L. Jr.;Kapania, Rakesh K.
    • Smart Structures and Systems
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    • 제4권3호
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    • pp.279-290
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    • 2008
  • The modeling and parameter estimation of a damped one-degree-of-freedom mass-spring system is examined. This paper presents a method for estimating the system parameters (damping coefficients and natural frequency) from measured free-vibration motion of a system that is modeled to include both subcritical viscous damping and kinetic Coulomb friction. The method applies a commercially available least-squares curve-fitting software function to fit the known solution of the equations of motion to the measured response. The method was tested through numerical simulation, and it was applied to experimental data collected from a laboratory mass-spring apparatus. The mass of this apparatus translates on linear bearings, which are the primary source of light inherent damping. Results indicate that the curve-fitting method is effective and accurate for both perfect and noisy measurements from a lightly damped mass-spring system.