• 제목/요약/키워드: Difference equation

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비정상 월유량 시계열의 해석과 예측 (Analysis and Forecast of Non-Stationary Monthly Steam Flow)

  • 이재형;선우중호
    • 물과 미래
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    • 제11권2호
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    • pp.54-61
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    • 1978
  • 비교적 주기성이 강하고 경향성이 존재하는 유량시계열에 있어서 예측 및 모의발생을 위한 모형개발이 시도되었다. 원시계열로부터 구한 차분시계열(Diffe renced time series)이 정상공분산을 갖는다는 가정하여 모형의 고정화(Model Intentification)가 실시되었으며, 정상가정을 정당화하기 위해 잔차(Residual)의 통계적 성질을 검토하였다. 또한, 동정된 모형의 예측 정도를 노이기 위하여 예측오차의 분산이 최소가 되도록 추계적 제어(Stochastic Control)된 모형을 예측에 사용하였다. 한국주요하천유역의 유량자료에 대한 모형의 고정과 예측결과로부터, 차분연산자(Difference operator)는 경향과 주기를 제거하는데 좋은 방법이 됨이 판단되었다.

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비선형(非線型) 대수차분(代數差分) 방정식(方程式)을 이용(利用)한 소나무 직경(直徑) 및 수고(樹高) 생장(生長) 추정(推定) (Estimating Diameter and Height Growth for Pinus densiflora S. et Z. Using Non-linear Algebraic Difference Equations)

  • 이상현
    • 한국산림과학회지
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    • 제90권2호
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    • pp.210-216
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    • 2001
  • 우리나라에 전국적으로 분포하고 중요한 산림자원인 소나무(Pinus densiflora S. et Z.)의 직경 및 수고 생장함수를 유도하였다. 모형 유도방법은 두 측정간격 $T_1$$T_2$를 필요로 하는 대수 차분 방정식을 이용하였고, 데이터 이용의 극대화를 위하여 SAS에서 Lag와 Put 문장을 사용한 프로그램을 이용하여 모든 가능한 생장 측정 기간을 포함하는 데이터를 사용하였다. 적용된 동형 및 다형 차분 방정식 중 Schumacher 다형 방정식이 직경 생장을 추정하는데 적합한 것으로 나타났고, 수고 생장 추정은 Gompertz 다형식이 적합한 것으로 나타났다. 보다 정밀한 추정을 위해서는 이들 식에 생물학적인 변수들을 동반한 연구가 필요할 것으로 판단된다.

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남녀 대학생에 있어서 휴식대사량 예측공식의 정확도 평가 (Accuracy of Predictive Equations for Resting Metabolic Rate in Korean College Students)

  • 이가희;김명희;김은경
    • 대한지역사회영양학회지
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    • 제14권4호
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    • pp.462-473
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    • 2009
  • The purpose of this study is to analyze the accuracy of predictive equations for resting metabolic rate (RMR) in Korean college students. Subjects were 60 healthy Korean college students (30 males, 30 females) aged 18-25 years. RMR was measured by indirect calorimetry. Predicted RMRs were calculated using the Harris-Benedict, Schofield (W)/(WH), FAO/ WHO/UNU(W)/(WH), Owen, Mifflin, Cunningham, Liu, IMNA and Henry (W)/(WH) equations. The accuracy of the equations was evaluated on basis of accurate prediction (the percentage of subjects whose RMR was predicted within 90% to 110% of the RMR measured), mean difference, RMSPE, mean % difference, limits of agreement of Bland- Altman method between predicted and measured RMR. Measured RMR of male and female students were $1833.4{\pm}307.4kcal/day$ and $1454.3{\pm}208.0kcal/day$, respectively. All predictive equations underestimated measured RMR. Of the predictive equations tested, the Harris-Benedict equation (mean difference: -80.4 kcal/day, RMSPE: 236 kcal/day, mean % difference: -3.1%) was the most accurate and precise, but accurate prediction of the equation was only 42%. Thus, this study suggests that the ethnicity-specific predictive equation from Korean people should be developed to improve the accuracy of predicted RMR for Koreans. (Korean J Community Nutrition 14(4) : 462${\sim}$473, 2009)

손실 매질에 대한 Isotropic-Dispersion 유한 차분식의 2D Crank-Nicolson FDTD 기법 (2D Crank-Nicolson FDTD Method Based on Isotropic-Dispersion Finite Difference Equation for Lossy Media)

  • 김현;고일석;육종관
    • 한국전자파학회논문지
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    • 제21권7호
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    • pp.805-814
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    • 2010
  • 기존 Crank-Nicolson FDTD 기법(CN FDTD 기법)의 비등방성 분산 특성을 개선하기 위한 CN ID-FDTD 기법을 제안하였다. 제안한 CN ID-FDTD 기법은 공간 미분 연산을 위해 기존 CN FDTD 기법의 centered 유한 차분식 (Finite Difference equation: FD 연산식)이 아닌 isotropic-dispersion 유한 차분식(ID-FD 연산식)$^{[1],[2]}$을 이용한다. 본 논문에서는 손실 매질에 대한 CN ID-FDTD 기법의 분산 관계식을 유도하였고, 이 분산 관계식을 이용해 ID-FD 연산식에서 분산 오차(dispersion error)를 줄이는 가중치(weighting factor)와 보정값(scaling factor)을 제시하였다. 그리고 해석 결과의 정확성 비교를 통해 CN ID-FDTD 기법에서는 기존 CN FDTD 기법의 단점이었던 비등방성 분산 오차가 확연하게 감소하는 것을 확인하였다.

볼츠만 방정식에 의한 CF4 분자가스의 전자이동속도 특성에 관한 연구 (The Study of Character of Electron Drift Velocity in CF4 Molecular Gas by the Boltzmann Equation)

  • 송병두;하성철
    • 한국전기전자재료학회논문지
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    • 제17권11호
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    • pp.1252-1257
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    • 2004
  • This paper describes the information for quantitative simulation of weakly ionized plasma. In previous paper, we calculated the electron transport coefficients by using two-term approximation of Boltzmann equation. But there is difference between the result of the two-term approximation of the Boltzmann equation and experiments in pure CF$_4$ molecular gas and in CF$_4$+Ar gas mixture. Therefore, In this paper, we calculated the electron drift velocity (W) in pure CF$_4$ molecular gas and CF$_4$+Ar gas mixture (1 %, 5 %, 10 %) for range of E/N values from 0.17~300 Td at the temperature was 300 K and pressure was 1 Torr by multi-term approximation of the Boltzmann equation by Robson and Ness. The results of two-term and multi-term approximation of the Boltzmann equation have been compared with each other for a range of E/N.

다항근사 및 2항근사 볼츠만 방정식을 이용한 $CF_4+Ar$ 혼합기체의 전자이동속도 연구 (The study of electron drift velocity in $CF_4+Ar$ molecular gas mixture by 2-term and multi-term approximation of the Boltzmann equation)

  • 송병두;하성철;전병훈
    • 한국전기전자재료학회:학술대회논문집
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    • 한국전기전자재료학회 2004년도 하계학술대회 논문집 Vol.5 No.2
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    • pp.1179-1182
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    • 2004
  • This paper describes the information for quantitative simulation of weakly ionized plasma. In previous paper, we calculated the electron transport coefficients in $CF_4+Ar$ gas mixture by using two-term approximation of Boltzmann equation. but there is difference between the result of the two-term and the multi-term approximation of the Boltzmann equation in $CF_4$ gas. Therefore, in this paper, we calculated the electron drift velocity (W) in $CF_4+Ar$ gas mixture for range of E/N values from $0.01\sim500[Td}$ at the temperature was 300[K] and pressure was 1[Torr] by multi-term approximation of the Boltzmann equation by Robson and Ness. The results of two-term and multi-term approximation of the Boltzmann equation has been compared with each other for a range of E/N.

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논 물꼬관리 기법 적용에 따른 원단위 삭감부하량 산정식 평가 (Assessing the Unit Load Reduction Equation of Drainage Outlet Raising Management in Paddy Fields)

  • 김동현;오흥근;장태일;함종화
    • 한국농공학회논문집
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    • 제65권2호
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    • pp.35-45
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    • 2023
  • The DOR (Drainage outlet raising) in the paddy field has been suggested as one of the most important best management practices for the TMDL (Total maximum daily load) management in the technical guidelines by the NIER (National institute of environmental research). However, this method is underestimated and is not well adopted by local governments for the TMDL. The purpose of this study is to evaluate the unit load reduction equation according to the application of DOR in order to expand this equation. The original equation in the guideline was derived using the HSPF (Hydrological Simulation Program-Fortran) model for 1 year in Changnyeong. We analyzed the reduction effect of the original equation application by collecting additional long-term monitoring data from the Buan, Icheon, Iksan, and Jeonju. When comparing the reduction loads between the original equation and monitoring results, the evaluation results of the original equation were 11% of the monitoring analysis results, which was underestimated. This means that the original equation needs to be improved. For assessing the equation, the HSPF Paddy-RCH model was established according to the NI ER guideline and evaluated for applicability. The performance results of the model showed a reasonable range by the statistical criteria. Modified equations 1 and 2 were proposed based on the monitoring and modeling results. Modified equation 1 was the method of modifying the original equation's main factors, and modified equation 2 was the method of applying the non-point pollution reduction efficiency according to the rainfall class using the long-term modeling results. At the level of 58.6~64.6% of monitoring data, the difference between them could be further reduced compared to the original equation. The suggested approach will be more reasonable and practicable for decision-makers and will contribute to the TMDL management plans.

비균질 Helmholtz 방정식을 이용한 변동 수심에서의 파랑변형 (Inhomogeneous Helmholtz equation for Water Waves on Variable Depth)

  • 김효섭;장창환
    • 한국해양환경ㆍ에너지학회지
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    • 제13권3호
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    • pp.174-180
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    • 2010
  • 변동 수심에서의 파랑변형을 비균질 Helmholtz 방정식을 이용하여 계산하였다. 포텐셜 함수가 존재한다고 가정하였으며, 변수분리를 적용하였다. 본 논문에서는 조화파만을 고려하였다. 포텐셜 함수로 구성된 지배방정식을 정수면에 직접 적용하였고, 변동 수심에 대한 비균질 Helmholtz 방정식을 얻었다. 파랑의 진폭과 위상차로 얻어진 복합 포텐셜 함수의 지배방정식을 실수형 변수로 된 두 방정식으로 분리하였다. 분리된 방정식들은 각각 1차와 2차 상미분 방정식이며, 이 방정식들을 단순한 형태의 중앙차분 수치기법을 이용하여 차분식으로 변형하였다. 측면 경계조건에서의 파랑의 진폭, 진폭경사, 그리고 위상경사를 경계면에 적용하여 전방진행방법으로 전 영역에서 해를 구하였다 Booij의 경사면 있는 저면의 경우와 Bragg의 물결모양이 있는 저면의 경우에 적용하였다. 본 연구로 도출된 비균질 Helmholtz 방정식은 완전 선형방정식 계산 결과, Massel의 수정 완경사 방정식, 그리고 Berkhoff의 완경사 방정식의 적용 결과와 비교하였으며, 만족스러운 결과를 얻었다.

Comparison of total energy expenditure between the farming season and off farming season and accuracy assessment of estimated energy requirement prediction equation of Korean farmers

  • Kim, Eun-Kyung;Yeon, Seo-Eun;Lee, Sun-Hee;Choe, Jeong-Sook
    • Nutrition Research and Practice
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    • 제9권1호
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    • pp.71-78
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    • 2015
  • BACKGROUND/OBJECTIVES: The purposes of this study were to compare total energy expenditure (including PAL and RMR) of Korean farmers between the farming season and off farming season and to assess the accuracy of estimated energy requirement (EER) prediction equation reported in KDRIs. SUBJECTS/METHODS: Subjects were 72 Korean farmers (males 23, females 49) aged 30-64 years. Total energy expenditure was calculated by multiplying measured RMR by PAL. EER was calculated by using the prediction equation suggested in KDRIs 2010. RESULTS: The physical activity level (PAL) was significantly higher (P < 0.05) in the farming season (male $1.77{\pm}0.22$, female $1.69{\pm}0.24$) than the off farming season (male $1.53{\pm}0.32$, female $1.52{\pm}0.19$). But resting metabolic rate was significantly higher (P < 0.05) in the off farming season (male $1,890{\pm}233kcal/day$, female $1,446{\pm}140kcal/day$) compared to the farming season (male $1,727{\pm}163kcal/day$, female $1,356{\pm}164kcal/day$). TEE ($2,304{\pm}497kcal/day$) of females was significantly higher in the farming season than that ($2,183{\pm}389kcal/day$) of the off farming season, but in males, there was no significant difference between two seasons in TEE. On the other hand, EER of male and female ($2,825{\pm}354kcal/day$ and $2,115{\pm}293kcal/day$) of the farming season was significantly higher (P < 0.05) than those ($2,562{\pm}339kcal/day$ and $1,994{\pm}224kcal/day$) of the off farming season. CONCLUSIONS: This study indicates that there is a significant difference in PAL and TEE of farmers between farming and off farming seasons. And EER prediction equation proposed by KDRI 2010 underestimated TEE, thus EER prediction equation for farmers should be reviewed.

Performance Analysis of Mapping Functions and Mean Temperature Equations for GNSS Precipitable Water Vapor in the Korean Peninsula

  • Park, Han-Earl;Yoo, Sung-Moon;Yoon, Ha Su;Chung, Jong-Kyun;Cho, Jungho
    • Journal of Positioning, Navigation, and Timing
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    • 제5권2호
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    • pp.75-85
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    • 2016
  • The performance of up-to-date mapping functions and various mean temperature equations were analyzed to derive optimal mapping function and mean temperature equation when GNSS precipitable water vapor (PWV) was investigated in the Korean Peninsula. Bernese GNSS Software 5.2, which can perform high precision GNSS data processing, was used for accurate analysis, and zenith total delay (ZTD) required to calculate PWV was estimated via the Precise Point Positioning (PPP) method. GNSS, radiosonde, and meteorological data from 2009 to 2014 were acquired from Sokcho Observatory and used. ZTDs estimated by applying the global mapping function (GMF) and Vienna mapping function 1 (VMF1) were compared with each other in order to evaluate the performance of the mapping functions. To assess the performance of mean temperature equations, GNSS PWV was calculated by using six mean temperature equations and a difference with radiosonde PWV was investigated. Conclusively, accuracy of data processing was improved more when using VMF1 than using GMF. A mean temperature equation proposed by Wu (2003) had the smallest difference with that in the radiosonde in the analysis including all seasons. In summer, a mean temperature equation proposed by Song & Grejner-Brzezinska (2009) had the closest results with that of radiosonde. In winter, a mean temperature equation proposed by Song (2009) showed the closest results with that of radiosonde.