• Title/Summary/Keyword: 지수함수

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Entropy Interpretation On flow Distribution Algorithms (엔트로피를 이용한 흐름분배 알고리즘 해석)

  • Lee, Hak-Su;Kang, Chang-Yong;Kim, Sang-Hyung;Jung, Sung-Won
    • Journal of Korea Water Resources Association
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    • v.36 no.2
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    • pp.263-271
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    • 2003
  • The wetness index has been frequently used to describe the spatial distribution of the hydrologic status on the platform of the grid based model such as TOPMODEL and THALES. The statistical and spatial distributions of the wetness index are primarily depend upon the flow determinatin algorithm. The comparison among various algorithms and the decision making of the application algorithms are desirable. The entropy is used to evaluate the information transfer patterns of the various flow determination algorithm. The Holmgren's H algorithm and the SDFAA algorithm were found to be the better scheme than the other approaches to maximize the information contents of the wetness index.

LGP Pattern Design by Using a Pattern Density Function with Simple Exponential Function (간단한 지수함수를 패턴 밀도 함수로 이용한 LGP 패턴 설계)

  • Kim, Young-Chul;Kim, Dae-Wook;Oh, Tae-Sik;Lee, Yong-Min;Ahn, Seung-Joon;Kim, Ho-Seob
    • Korean Journal of Optics and Photonics
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    • v.21 no.3
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    • pp.97-102
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    • 2010
  • A pattern density function using simulation analysis for controlling LGP output distribution was proposed. The pattern density function was found as [Pexp(-y/70)+Qexp(+y/25)]R. We analyzed the LGP output distribution of a hemi-sphere pattern using the function and then found that its output distribution was clearly improved as compared with that of the equi-distance pattern. We found that the density function works well for the pyramid pattern case as well as.

Evaluation of RVE Suitability Based on Exponential Curve Fitting of a Probability Distribution Function (확률 분포 함수의 지수 곡선 접합을 이용한 RVE 적합성 평가)

  • Chung, Sang-Yeop;Yun, Tae Sup;Han, Tong-Seok
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.30 no.5A
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    • pp.425-431
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    • 2010
  • The phase distribution in a multi-phase material strongly affects its material properties. Therefore, a proper method to describe the phase distribution of a material is needed. In this research, probability distribution functions, two-point correlation and lineal-path functions, are used to represent the probabilistic phase distributions of a material. The probability distribution function is calculated using a numerical method and is described as an analytical form via exponential curve fitting with three parameters. Application of analytical form of probability distribution function is investigated using two-phase polycrystalline solids and soil samples. It is confirmed that the probability distribution functions can be represented as an exponential form using curve fitting which helps identifying the applicability of a representative volume element(RVE).

Nonstationary Seismic Response Analysis of Offshore Compliant Tower (심해용 해양구조물의 지진하중에 대한 비정상거동해석)

  • 류정선;윤정방
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 1992.04a
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    • pp.45-50
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    • 1992
  • 해양 가이드 타워를 대상으로 하여, 지진하중에 대한 심해응구조물의 비정상거동해법에 대하여 연구하였다. 지반운동의 비정상특성은 정상과정성분에 시간포락함수가 곱해진 형태로 모형화하였으며, 구조물의 비정상거동은 시간종속분산함수로 구하였다. 지반가속도에 대한 자기상관함수를 복소지수함수의 형태로 이상화함으로써, 구조물 거동의 시간종속함수가 해석적인 방법으로 쉽게 구할 수 있는 기법을 개발하였다. 지진의 발생시간 동안 예상되는 최대거동을 구하였으며. 이를 구조물 거동을 정상확률과정으로 가정하여 산정한 결과와 비교 분석하였다.

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Basic Studies on Development of Turn Penalty Functions in Signalized Intersections (신호교차로의 회전제약함수 개발을 위한 기초연구)

  • O, Sang-Jin;Kim, Tae-Yeong;Park, Byeong-Ho
    • Journal of Korean Society of Transportation
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    • v.27 no.1
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    • pp.157-167
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    • 2009
  • This study deals with the turn penalty functions in the urban transportation demand forecasting. The objectives are to develop the penalty functions of left-turn traffic in the case of signalized intersections, and to analyze the applicability of the functions to the traffic assignment models. This is based on the background that the existing models can not effectively account for the delays of left-turn traffic which is bigger than that of through traffic. In pursuing the above, this study gives particular attention to developing the penalty functions based on the degrees of saturation by simulation results of Transyt-7F, and analyzing the applicability of the functions by the case study of Cheongju. The major findings are the followings. First, two penalty functions developed according to the degrees of saturation, are evaluated to be all statistically significant. Second, the results that the above functions apply to the Cheongju network, are analyzed to be converging, though the iteration numbers increase. Third, the link volumes forecasted by turn penalty functions are evaluated to be better fitted to the observed data than those by the existing models. Finally, the differences of traffic volumes assigned by two functions, which are exponential and divided forms, are analyzed to be very small.

Reducing the Scan Time in Gastric Emptying Scintigraphy by Using Mathematical Models (위배출 신티그래피에서 수학적 모델을 이용한 지연영상 시간의 단축)

  • Yoon, Min-Ki;Hwang, Kyung-Hoon;Choe, Won-Sick;Lee, Byeong-Il;Lee, Jae-Sung
    • The Korean Journal of Nuclear Medicine
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    • v.39 no.4
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    • pp.257-262
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    • 2005
  • Purpose: Gastric emptying scan (GES) is usually acquired up to 2 hours. Our study investigated whether a fraction of meal-retention in the stomach at 120 minutes (FR120) was predicted from the data measured for 90 minutes by using non-linear curve fitting. We aimed at saving the delayed imaging by utilizing mathematical models. Materials and Methods: Ninety-six patients underwent GES immediately after taking a boiled egg with 74 MBq (2 mCi) Tc-99m DTPA. The patients were divided into Group I ($T_{1/2}\;{\leq}90\;min$) and Group II ($90\;min). Group I (n=51) had 21 men and 30 women, and Group II (n=45) 15 men and 30 women. There was no significant difference in age and sex between the two groups. Simple exponential, power exponential, and modified power exponential curves were acquired from the measured fraction of meal-retention at each time (0, 15, 30, 45, 60, 75, and 90 min) by non-linear curve fitting ($MATLAB^{\circledR}$ 5.3) and another simple exponential fitting was performed on the fractions at late times (60, 75, and 90 min). A predicted FR120 was calculated from the acquired functional formulas. A correlation coefficient between the measured FR120 and the predicted FR120 was computed ($MedCalc^{\circledR}$ 6.0). Results: Correlation coefficients(r) between the measured FR120 and the predicted FR120 of each mathematical functions were as follows: simple exponential function (Group I: 0.8558, Group II: 0.5982, p<0.0001), power exponential function (Group I: 0.8755, Group II: 0.6008, p<0.0001), modified power exponential function (Group I: 0.8892, Group II: 0.5882, p<0.0001), and simple exponential function at the late times(Group I: 0.9085, Group II: 0.6832, p<0.0001). In all the fitting models, the predicted FR120 were significantly correlated with the measured FR120 in Group I but not in Group II. There was no statistically significant difference in correlation among the 4 mathematical models. Conclusion: In the cases with $T_{1/2}\;{\leq}90\;min$, the predicted FR120 is significantly correlated with the measured FR120. Therefore, FR120 can be predicted from the data measured for 90 minutes by using non-linear curve fitting, saving the delayed imaging after 90 minutes when $T_{1/2}\;{\leq}90\;min$ is ascertained.

3-D Free Vibration Analysis of Exponential and Power-law Functionally Graded Material(FGM) Plates (지수 및 멱 법칙 점진기능재료 판의 3차원 자유진동해석)

  • Lee, Won-Hong;Han, Sung-Cheon;Ahn, Jin-Hee;Park, Weon-Tae
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.28 no.5
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    • pp.553-561
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    • 2015
  • The exponential and power law functionally graded material(FGM) theory is reformulated considering the refined shear and normal deformation theory. This theory has ability to capture the both normal deformation effect and exponential and power law function in terms of the volume fraction of the constituents for material properties through the plate thickness. Navier's method has been used to solve the governing equations for all edges simply supported plates on Pasternak elastic foundation. Numerical solutions of vibration analysis of FGM plates are presented using this theory to illustrate the effects of power law index and 3-D theory of exponential and power law function on natural frequency. The relations between 3-D and 2-D higher-order shear deformation theory are discussed by numerical results. Further, effects of (i) power law index, (ii) side-to-thickness ratio, and (iii) elastic foundation parameter on nondimensional natural frequency are studied. To validate the present solutions, the reference solutions are discussed.

Estimation and Assessment of Bivariate Joint Drought Index based on Copula Functions (Copula 함수 기반의 이변량 결합가뭄지수 산정 및 평가)

  • So, Jae Min;Sohn, Kyung Hwan;Bae, Deg Hyo
    • Journal of Korea Water Resources Association
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    • v.47 no.2
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    • pp.171-182
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    • 2014
  • The objective of this study is to evaluate the utilization of bivariate joint drought index in South Korea. In order to develop the bivariate joint drought index, in this study, Clayton copula was used to estimate the joint distribution function and the calibration method was employed for parameter estimation. Precipitation and soil moisture data were selected as input data of bivariate joint drought index for period of 1977~2012. The time series analysis, ROC (Receiver Operating Characteristic) analysis, spatial analysis were used to evaluate the bivariate joint drought index with SPI (Standardized Precipitation Index) and SSI (Standardized Soil moisture Index). As a result, SPI performed better for drought onset and SSI for drought demise. On the other hand the bivariate joint drought index captured both drought onset and demise very well. The ROC score of bivariate joint drought index was higher than that of SPI and SSI, and it also reflected the local drought situations. The bivariate joint drought index overcomes the limitations of existing drought indices and is useful for drought analysis.

The Comparative Study of NHPP Software Reliability Model Based on Log and Exponential Power Intensity Function (로그 및 지수파우어 강도함수를 이용한 NHPP 소프트웨어 무한고장 신뢰도 모형에 관한 비교연구)

  • Yang, Tae-Jin
    • The Journal of Korea Institute of Information, Electronics, and Communication Technology
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    • v.8 no.6
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    • pp.445-452
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    • 2015
  • Software reliability in the software development process is an important issue. Software process improvement helps in finishing with reliable software product. Infinite failure NHPP software reliability models presented in the literature exhibit either constant, monotonic increasing or monotonic decreasing failure occurrence rates per fault. In this paper, proposes the reliability model with log and power intensity function (log linear, log power and exponential power), which made out efficiency application for software reliability. Algorithm to estimate the parameters used to maximum likelihood estimator and bisection method, model selection based on mean square error (MSE) and coefficient of determination($R^2$), for the sake of efficient model, was employed. Analysis of failure, using real data set for the sake of proposing log and power intensity function, was employed. This analysis of failure data compared with log and power intensity function. In order to insurance for the reliability of data, Laplace trend test was employed. In this study, the log type model is also efficient in terms of reliability because it (the coefficient of determination is 70% or more) in the field of the conventional model can be used as an alternative could be confirmed. From this paper, software developers have to consider the growth model by prior knowledge of the software to identify failure modes which can be able to help.

Flood Alert and Warning Scheme Based on Intensity-Duration-Quantity (IDQ) Curve considering Antecedant Moisture Condition (선행함수지수를 고려한 강우강도-지속시간-홍수량(IDQ) 곡선기반의 홍수예경보기법)

  • Kim, Jin-Gyeom;Kang, Boosik
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.35 no.6
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    • pp.1269-1276
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    • 2015
  • The methodology of utilizing Intensity-Duration-flood Quantity (IDQ) curve for flood alert and warning was introduced and its performance was evaluated. For this purpose the lumped parameter model was calibrated and validated for gauged basin data set and the index precipitation equivalent to alert and warning flood was estimated. The index precipitation and IDQ curves associated by three different Antecedant Moisture Conditions (AMCs) are made provision for various possible flood scenarios. The test basin is Wonju-cheon basin ($94.4km^2$) located in Gangwon province, Korea. The IDQ curves corresponding to alert (50% of design flood level) and warning (70% of design flood level) level was estimated using the Clark unit hydrograph based lumped parameter model. The performance evaluation showed 0.704 of POD (Probability of Detection), 0.136 of FAR (False Alarm Ratio), and 0.633 of CSI (Critical Success Index), which is improved from the result of IDQ with single fixed AMC.