• 한국수자원학회논문집
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• 제32권3호
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• pp.265-279
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• 1999

본 연구에서는, Markov 연쇄 모형에 의해 산정된 모의 일 강우량을 일 유출모형인 Tand 모형에 입력시켜 모의 일유출량을 산정함으로써 저수유량계열을 확장하는 방법을 개발하였다. 또한, 모의된 일 유량계열로부터 지속기간별 연 최저치 계열을 작성하였으며, 지속기간별 연 최저치계열에 대한 빈도분석을 시행하였다. 분석에 사용된 분포형은 Lognormal-2, Lognormal-3, Gamma-2, Gamma-3, LogGamma-3, Gumbel-2, Weibull-2 분포이었으며, 모수추정은 모멘트법과 최우도법을 사용하였다. Kolmogorov - Sminorv 검정방법으로 지속기간별 연 최저치 계열에 적합한 확률분포형을 결정하고, 용담댐 지점을 대상으로 하여 지속기간별 갈수 빈도곡선을 산정하였다. 본 연구에서 제안된 방법을 적용하면 과거 저수 유량계열의 통계적 특성을 잘 나타내는 일 유량의 모의가 가능 하여, 갈수유량계열 자료가 빈곤한 유역에서 확률 갈수량을 추정하는데 유용하리라고 판단된다.

• 산업경영시스템학회지
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• 제41권1호
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• pp.84-93
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• 2018

In this paper, we propose an Elman recurrent neural network to predict and analyze a time series of power energy consumption. To this end, we consider the volatility of the time series and apply the sample variance and the detrended fluctuation analyses to the volatilities. We demonstrate that there exists a correlation in the time series of the volatilities, which suggests that the power consumption time series contain a non-negligible amount of the non-linear correlation. Based on this finding, we adopt the Elman recurrent neural network as the model for the prediction of the power consumption. As the simplest form of the recurrent network, the Elman network is designed to learn sequential or time-varying pattern and could predict learned series of values. The Elman network has a layer of "context units" in addition to a standard feedforward network. By adjusting two parameters in the model and performing the cross validation, we demonstrated that the proposed model predicts the power consumption with the relative errors and the average errors in the range of 2%~5% and 3kWh~8kWh, respectively. To further confirm the experimental results, we performed two types of the cross validations designed for the time series data. We also support the validity of the model by analyzing the multi-step forecasting. We found that the prediction errors tend to be saturated although they increase as the prediction time step increases. The results of this study can be used to the energy management system in terms of the effective control of the cross usage of the electric and the gas energies.

• 한국수학교육학회지시리즈A:수학교육
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• 제57권4호
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• pp.353-369
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• 2018

This study started with the following questions. Suppose that students do not accept various forms of geometric series tasks as the same task. Also, let's say that the approach was different for each task. Then, when they realize that they are the same task, how will students connect the different approaches? This study is a process of pro-actively confirming whether or not such a question can be made. For this purpose, three students in the second grade of high school participated in the teaching experiment. The results of this study are as follows. It also confirmed how the students think about the various types of tasks in the geometric series. For example, students have stated that the value is 1 in a series type of task. However, in the case of the 0.999... type of task, the value is expressed as less than 1. At this time, we examined only mathematical expressions of students approaching each task. The problem of reachability was not encountered because the task represented by the series symbol approaches the problem solved by procedural calculation. However, in the 0.999... type of task, a variety of expressions were observed that revealed problems with reachability. The analysis of students' expressions related to geometric series can provide important information for infinite concepts and limit conceptual research. The problems of this study may be discussed through related studies. Perhaps more advanced research may be based on the results of this study. Through these discussions, I expect that the contents of infinity in the school field will not be forced unilaterally because there is no mathematical error, but it will be an opportunity for students to think about the learning method in a natural way.

• 품질경영학회지
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• 제50권4호
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• pp.701-716
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• 2022

Purpose: This study aims to predict the dry cargo transportation market economy. The subject of this study is the BDI (Baltic Dry Index) time-series, an index representing the dry cargo transport market. Methods: In order to increase the accuracy of the BDI time-series, we have pre-processed the original time-series via time-series decomposition and data augmentation techniques and have used them for ANN learning. The ANN algorithms used are Multi-Layer Perceptron (MLP), Recurrent Neural Network (RNN), and Long Short-Term Memory (LSTM) to compare and analyze the case of learning and predicting by applying time-series decomposition and data augmentation techniques. The forecast period aims to make short-term predictions at the time of t+1. The period to be studied is from '22. 01. 07 to '22. 08. 26. Results: Only for the case of the MAPE (Mean Absolute Percentage Error) indicator, all ANN models used in the research has resulted in higher accuracy (1.422% on average) in multivariate prediction. Although it is not a remarkable improvement in prediction accuracy compared to uni-variate prediction results, it can be said that the improvement in ANN prediction performance has been achieved by utilizing time-series decomposition and data augmentation techniques that were significant and targeted throughout this study. Conclusion: Nevertheless, due to the nature of ANN, additional performance improvements can be expected according to the adjustment of the hyper-parameter. Therefore, it is necessary to try various applications of multiple learning algorithms and ANN optimization techniques. Such an approach would help solve problems with a small number of available data, such as the rapidly changing business environment or the current shipping market.

• 한국건설순환자원학회논문집
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• 제11권4호
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• pp.407-415
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• 2023

본 연구에서는 폐로프 재활용 섬유를 사용하여 보강된 시멘트 복합체(이하, W 시리즈)의 탄산화 시험을 EN 12390 규정에 따라 수행하고, 폴리프로필렌 기반 상용 보강재 (이하, P 시리즈)를 함유한 경우와 비교 분석하였다. 탄산화 시험 결과, 탄산화 깊이는 물시멘트비에 특히 큰 영향을 받았으며, 동일 조건에서 폐로프 보강재 함유 시멘트 복합체의 탄산화 저항성능이 상용 PP 계열 보강재를 혼입한 경우보다 다소 우수함을 확인하였다. 총 250일의 탄산화 시험 기간 동안, P시리즈와 W 시리즈 모두 압축강도가 증가하는 추세를 보였으나 W 시리즈의 평균 압축강도가 P 시리즈보다 다소 높은 것을 확인할 수 있었다. 또한, 시험 초기 단계에는 W 시리즈가 P 시리즈와 동일 수준의 휨강도를 얻었으나, 후반에는 P 시리즈가 평균 1.0 MPa 더 높은 휨강도를 보였다.

• 한국수학교육학회지시리즈D:수학교육연구
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• 제13권2호
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• pp.103-108
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• 2009

We present the thoughts behind a course combining the subjects of differential equations and infinite series. The key point is how to connect the two topics in a course with a natural flow.

• 대한수학회논문집
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• 제12권1호
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• pp.11-16
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• 1997

In this paper we will study a p-adic analogue of Kummer's theorem[6],[7], which gives the value at x = -1 of a well-piosed $_2F_1$ hypergeometric series.

• 대한수학회보
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• 제55권6호
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• pp.1811-1822
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• 2018

In this paper, we exhibit the explicit forms of continued fraction expansions of a family of algebraic power series over a finite field and we study their asymptotic distribution of approximation exponents.

• 대한수학회논문집
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• 제10권3호
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• pp.583-602
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• 1995

With the theory of a certain type of orders in a Quaternion algebra, we construct Brandt matrices and theta series. As a application, we calculate the class number of a certain type of orders in a Quanternion algebra with the trace formular of Brandt matrices.

• 대한수학회논문집
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• 제14권1호
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• pp.57-68
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• 1999

In this short note, we construct another form of Stirling`s asymptotic series by new form of Carlitz`s q-Bernoulli numbers.