• 제목/요약/키워드: exponential analysis

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Applicability of exponential stress-strain models for carbonate rocks

  • Palchik, Vyacheslav
    • Geomechanics and Engineering
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    • 제15권3호
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    • pp.919-925
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    • 2018
  • Stress-strain responses of weak-to-strong carbonate rocks used for tunnel construction were studied. The analysis of applicability of exponential stress-strain models based on Haldane's distribution function is presented. It is revealed that these exponential equations presented in transformed forms allow us to predict stress-strain relationships over the whole pre-failure strain range without mechanical testing of rock samples under compression using a press machine and to avoid measurements of axial failure strains for which relatively large values of compressive stress are required. In this study, only one point measurement (small strain at small stress) using indentation test and uniaxial compressive strength determined by a standard Schmidt hammer are considered as input parameters to predict stress-strain response from zero strain/zero stress up to failure. Observations show good predictive capabilities of transformed stress-stress models for weak-to-strong (${\sigma}_c$ <100 MPa) heterogeneous carbonate rocks exhibiting small (< 0.5 %), intermediate (< 1 %) and large (> 1 %) axial strains.

Bayesian Analysis for the Difference of Exponential Means

  • Kang, Sang-Gil;Kim, Dal-Ho;Lee, Woo-Dong
    • Journal of the Korean Data and Information Science Society
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    • 제16권4호
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    • pp.1067-1078
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    • 2005
  • In this paper, we develop the noninformative priors for the exponential models when the parameter of interest is the difference of two means. We develop the first and second order matching priors. We reveal that the second order matching priors do not exist. It turns out that Jeffreys' prior does not satisfy the first order matching criterion. The Bayesian credible intervals based on the first order matching meet the frequentist target coverage probabilities much better than the frequentist intervals of Jeffreys' prior.

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Analysis and Optimization of Bidirectional Exponential SC Power Conversion Circuits

  • Ye, Yuanmao;Peng, Wei;Jiang, Bijia;Zhang, Xianyong
    • Journal of Power Electronics
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    • 제18권3호
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    • pp.672-680
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    • 2018
  • A bidirectional exponential-gain switched-capacitor (SC) DC-DC converter is developed in this paper. When compared with existing exponential SC converters, the number of switches is significantly reduced and its structure is simplified. The voltage transfer features, voltage ripple across capacitors, efficiency and output impedance of the proposed converter are analyzed in detail. Optimization of the output impedance is also discussed and the best type of capacitance distribution is determined. A common function of the voltage gain to the output impedance is found among the proposed converter and other popular SC voltage multipliers. Experimental evaluation is carried out with a 6-24V bidirectional prototype converter.

사석제를 투과하는 흐름 (Flow Through Rubble Mound Dike)

  • 김채수;남선우
    • 한국농공학회지
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    • 제30권4호
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    • pp.109-116
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    • 1988
  • This study was aimed at determining a regime of flow through rubble mound dike consisted of all sized quarrystons, and deriving a relationship between hydraulic gradient (I) and mean flow velocity (V) through the dike. The analysis was carried out with the data observed after final gap closing of the Haenam Sea dike from May, 6 to May, 14, 1987. The resu]ts are summarized as follows: 1. The regime of flow would be defined as the turbulent flow. 2. As to the relationships, two kinds of formula that are exponential and binomial were obtained. Exponential formula: I=2.099V 1.2888 Binomial formula: I=0.6113V+5.5235V$^2$ 3. Correlation coefficient of the former was 0.824 and that of the latter was 0.821, and the deviations between observed data and estimated were 0.0070 and 0.0064 respectively. 4. Comparing the correlation coefficient, both the equations have the same correlation coefficients, but in case of the deviation the binomial equation was better than the exponential equation. Therefore, the binomial equation is proposed for analyzing the flow through rubble mound dike.

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The Gringorten estimator revisited

  • Cook, Nicholas John;Harris, Raymond Ian
    • Wind and Structures
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    • 제16권4호
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    • pp.355-372
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    • 2013
  • The Gringorten estimator has been extensively used in extreme value analysis of wind speed records to obtain unbiased estimates of design wind speeds. This paper reviews the derivation of the Gringorten estimator for the mean plotting position of extremes drawn from parents of the exponential type and demonstrates how it eliminates most of the bias caused by the classical Weibull estimator. It is shown that the coefficients in the Gringorten estimator are the asymptotic values for infinite sample sizes, whereas the estimator is most often used for small sample sizes. The principles used by Gringorten are used to derive a new Consistent Linear Unbiased Estimator (CLUE) for the mean plotting positions for the Fisher Tippett Type 1, Exponential and Weibull distributions and for the associated standard deviations. Analytical and Bootstrap methods are used to calibrate the bias error in each of the estimators and to show that the CLUE are accurate to better than 1%.

소크라테스 방법의 의의와 실천 - 복소지수함수의 교수.학습에의 적용 - (Meaning and Realization of the Socratic Method - Application to Teaching-Learning of Complex Natural Exponential Function -)

  • 김성아;정문자
    • 한국수학교육학회지시리즈A:수학교육
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    • 제49권4호
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    • pp.423-436
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    • 2010
  • In this paper we discuss the Socratic method from the aspects of subject education and examine the meaning of the method in mathematics education that is the most suitable subject for the realization of the Socratic method. In addition, as a realization of the Socratic method, we conducted a teaching-learning experiment of complex natural exponential function with a 2nd year college student. The results of the experiment are analyzed with the intention of improving instruction of the complex analysis that is one of the college mathematics courses.

무선 센서 네트워크에서 Probabilistic Blanket Coverage에 대한 센싱 모델의 영향 (Impact of Sensing Models on Probabilistic Blanket Coverage in Wireless Sensor Network)

  • 수보드 푸다사이니;강문수;신석주
    • 한국통신학회논문지
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    • 제35권7A호
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    • pp.697-705
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    • 2010
  • WSN에서의 커버리지 문제는 센싱 커버리지에 대한 요구조건을 만족시키기 위해 필요한 최소한의 활동 센서(active sensor)의 개수로 공식화될 수 있다. 일반적으로 확률적 기하학을 이용하여 WSN의 커버리지 분석을 수행하기 때문에 센싱 모델이 커버리지 분석의 핵심 요소로 간주된다. 따라서, 커버리지 분석의 정확도는 어떠한 센싱 모델을 가정하였느냐에 따라 달라질 수 있으며 분석에 사용된 센싱 모델이 얼마나 실 센싱 환경에 가깝게 특성화 되었느냐에 따라 달라진다. 본 논문에서는 Boolean 모델, Exponential 모델, Hybrid 모델 등 다양한 형태의 결정적 혹은 확률적 센싱 모델들을 조사하고 각각의 센싱 모델에 따라 일정 영역을 센싱할 수 있는 최소한의 센서 개수를 도출할 수 있는 수리적 분석을 수행하였으며 이를 통해 성능을 비교 평가하였다.

Performance Analysis of a Parallel System Having a Cold Standby Unit

  • Sharma, S.C.;Bae, S.;Baek, J.B.;Singh, K.P.
    • International Journal of Reliability and Applications
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    • 제8권1호
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    • pp.67-82
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    • 2007
  • This paper deals with the effectiveness analysis of an engineering system, which has two units of different strengths in parallel and one unit as a cold standby unit. Failure times for all the units have negative exponential distribution whereas their repair times have general distribution. Single server caters the need for the system. The effectiveness analysis of the system is done by using regenerative point technique. The different measures of effectiveness such as mean sojourn time, mean time to system failure, availability, busy period, etc, are derived. Cost factors also taken into consideration.

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Stability and vibration analysis of composite plates using spline finite strips with higher-order shear deformation

  • Akhras, G.;Li, W.
    • Structural Engineering and Mechanics
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    • 제27권1호
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    • pp.1-16
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    • 2007
  • In the present study, a spline finite strip with higher-order shear deformation is formulated for the stability and free vibration analysis of composite plates. The analysis is conducted based on Reddy's third-order shear deformation theory, Touratier's "Sine" model, Afaq's exponential model and Cho's higher-order zigzag laminate theory. Consequently, the shear correction coefficients are not required in the analysis, and an improved accuracy for thick laminates is achieved. The numerical results, based on different shear deformation theories, are presented in comparison with the three-dimensional elasticity solutions. The effects of length-to-thickness ratio, fibre orientation, and boundary conditions on the critical buckling loads and natural frequencies are investigated through numerical examples.

무선 센서 네트워크에서의 이상 징후 감지를 위한 공동 지수 평활법 및 추세 기반 주성분 분석 (Joint Exponential Smoothing and Trend-based Principal Component Analysis for Anomaly Detection in Wireless Sensor Networks)

  • ;양희규;;;김문성;추현승
    • 한국정보처리학회:학술대회논문집
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    • 한국정보처리학회 2019년도 추계학술발표대회
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    • pp.145-148
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    • 2019
  • Principal Component Analysis (PCA) is a powerful technique in data analysis and widely used to detect anomalies in Wireless Sensor Networks. However, the performance of conventional PCA is not high on time-series data collected by sensors. In this paper, we propose a Joint Exponential Smoothing and Trend-based Principal Component Analysis (JES-TBPCA) for Anomaly Detection which is based on conventional PCA. Experimental results on a real dataset show a remarkably higher performance of JES-TBPCA comparing to conventional PCA model in detection of stuck-at and offset anomalies.