• Title/Summary/Keyword: L-curve

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

  • Jeung, Se Jin;Lee, Seung Pil;Kim, Byung Sik
    • Journal of Korea Water Resources Association
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    • v.54 no.spc1
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    • pp.1183-1193
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    • 2021
  • Low flow affects various fields such as river water supply management and planning, and irrigation water. A sufficient period of flow data is required to calculate the Flow Duration Curve. However, in order to calculate the Flow Duration Curve, it is essential to secure flow data for more than 30 years. However, in the case of rivers below the national river unit, there is no long-term flow data or there are observed data missing for a certain period in the middle, so there is a limit to calculating the Flow Duration Curve for each river. In the past, statistical-based methods such as Multiple Regression Analysis and ARIMA models were used to predict sulfur in the unmeasured watershed, but recently, the demand for machine learning and deep learning models is increasing. Therefore, in this study, we present the DNN technique, which is a machine learning technique that fits the latest paradigm. The DNN technique is a method that compensates for the shortcomings of the ANN technique, such as difficult to find optimal parameter values in the learning process and slow learning time. Therefore, in this study, the Flow Duration Curve applicable to the unmeasured watershed is calculated using the DNN model. First, the factors affecting the Flow Duration Curve were collected and statistically significant variables were selected through multicollinearity analysis between the factors, and input data were built into the machine learning model. The effectiveness of machine learning techniques was reviewed through statistical verification.

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

  • BYUNG-GOOK LEE
    • Journal of applied mathematics & informatics
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    • v.3 no.2
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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
    • Communications of the Korean Mathematical Society
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    • v.32 no.3
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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.

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

  • Nam, Jaehyeon;Park, Kiwan;Kang, Jaeyoung
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.40 no.1
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    • pp.33-39
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    • 2016
  • This study investigated the dynamic instability of a ceramic-on-ceramic artificial hip joint system through complex eigenvalue analysis. We examined the mode-coupling mechanism through eigenvalue sensitivity analysis with the variation of system parameters. In addition, we constructed a finite element model including the negative slope of friction curve for investigating the negative-slope mechanism in the hip squeak problem. The numerical results show that the torsion-dominant mode becomes unstable due to the presence of the negative slope while the axial load is the important factor influencing the negative-slope type instability.

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

  • Cho, Young-Hak;Kim, Sung-Dong;Hwang, Ji-Hong
    • Journal of the Korean Society for Precision Engineering
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    • v.29 no.1
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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.

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

  • Seok T.S.;Koo Y.M.;Lee C.S.;Shin S.K.;Kang T.G.;Kim S.H.
    • Journal of Biosystems Engineering
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    • v.31 no.2 s.115
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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.

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

  • Shim, Hee-Jin;Kim, Min-Tea;Yoon, In-Su;Kim, Yung-Kyun;Kim, Jung-Kyu
    • Proceedings of the KSME Conference
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    • 2007.05a
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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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Cadmium Extraction from Solutions by Solid-Phase and its Trace Determination (고상에서 용액으로 부터 카드뮴 추출과 잔유물 측정)

  • Ashrafi, F.;Attaran, A.M.;Kermani, N. Memar
    • Journal of the Korean Chemical Society
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    • v.52 no.2
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    • pp.133-139
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    • 2008
  • A new sensitive and selective spectrophotometric method for determination of trace amounts of cadmium using a polyvinyl chloride membrane containing bis-(2-ethylhexyl)phthalate as a solid phase extraction medium was investigated. Bis-(2-ethylhexyl)phthalate has used as a plasticizer. Cd(II) in an aqueous solution was trapped on the membrane in the form of colorful Cd (II)-I- - MG complexes (which MG is malachite green) and the cadmium complex was concentrated in the membrane. The absorbance of the green membrane was measured at 629 nm using a spectrophotometer, and then, the concentration of the cadmium was calculated using a calibration curve, which expressed the relationship between the Cd(II) concentration and the membrane absorbance after coloring for 25 min. The calibration curve was linear in the range of 10-760 μgL-1 cadmium in the test solution. The detection limit based on the 3Sbl criterion was 1.8199 μgL-1 and the relative standard deviations (RSD) were less than 4 % (n=5). The proposed method has been successfully applied to the determination of trace amounts of cadmium in the Tadjan River water sample (Sari-Iran), and the mean value of 28.7 μgL-1 was obtained.

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

  • Jung, Kang-Young;Im, Tae-Hyo;Kim, Gyeong-Hoon;Lee, In-Jung;Yoon, Jong-Su;Heo, Seong-Nam
    • Journal of Korean Society on Water Environment
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    • v.28 no.6
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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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    • v.4 no.3
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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.