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A Mathematical Model of Undertow in the Surf Zone (쇄파대(碎波帶)에서 undertow에 관한 수학적(數學的) 모형(模型))

  • Lee, Jong Sup;Park, Il Heum
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.13 no.3
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    • pp.193-206
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    • 1993
  • An analytical model of undertow is presented in the surf zone. Each term of the derived governing equation is evaluated by the ordering methods. Then the turbulent normal stresses and the streaming velocity terms are neglected. The driving force of undertow is derived from the wave profile which is approximated by the 4th order Chebyshev polynomials. The three types of vertical distribution of eddy viscosity are assumed and the coefficient of eddy viscosity is decided from the new boundary condition. So the input parameters for the calculation of undertow become very simple. The theoretical solutions of the present model are compared with the various experimental results. This model shows a good agreement with the experimental results in the case of mild slope and linear type eddy viscosity.

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Bayesian estimation for frequency using resampling methods (재표본 방법론을 활용한 베이지안 주파수 추정)

  • Pak, Ro Jin
    • The Korean Journal of Applied Statistics
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    • v.30 no.6
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    • pp.877-888
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    • 2017
  • Spectral analysis is used to determine the frequency of time series data. We first determine the frequency of the series through the power spectrum or the periodogram and then calculate the period of a cycle that may exist in a time series. Estimating the frequency using a Bayesian technique has been developed and proven to be useful; however, the Bayesian estimator for the frequency cannot be analytically solved through mathematical equations and may be handled numerically or computationally. In this paper, we make an inference on the Bayesian frequency through both resampling a parameter by Markov chain Monte Carlo (MCMC) methods and resampling data by bootstrap methods for a time series. We take the Korean real estate price index as an example for Bayesian frequency estimation. We have found a difference in the periods between the sale price index and the long term rental price index, but the difference is not statistically significant.

Development of Water Demand Forecasting Simulator and Performance Evaluation (단기 물 수요예측 시뮬레이터 개발과 예측 알고리즘 성능평가)

  • Shin, Gang-Wook;Kim, Ju-Hwan;Yang, Jae-Rheen;Hong, Sung-Taek
    • Journal of Korean Society of Water and Wastewater
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    • v.25 no.4
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    • pp.581-589
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    • 2011
  • Generally, treated water or raw water is transported into storage reservoirs which are receiving facilities of local governments from multi-regional water supply systems. A water supply control and operation center is operated not only to manage the water facilities more economically and efficiently but also to mitigate the shortage of water resources due to the increase in water consumption. To achieve the goal, important information such as the flow-rate in the systems, water levels of storage reservoirs or tanks, and pump-operation schedule should be considered based on the resonable water demand forecasting. However, it is difficult to acquire the pattern of water demand used in local government, since the operating information is not shared between multi-regional and local water systems. The pattern of water demand is irregular and unpredictable. Also, additional changes such as an abrupt accident and frequent changes of electric power rates could occur. Consequently, it is not easy to forecast accurate water demands. Therefore, it is necessary to introduce a short-term water demands forecasting and to develop an application of the forecasting models. In this study, the forecasting simulator for water demand is developed based on mathematical and neural network methods as linear and non-linear models to implement the optimal water demands forecasting. It is shown that MLP(Multi-Layered Perceptron) and ANFIS(Adaptive Neuro-Fuzzy Inference System) can be applied to obtain better forecasting results in multi-regional water supply systems with a large scale and local water supply systems with small or medium scale than conventional methods, respectively.

Instruction of Statistical Independence Based on Intuitions Classified by Fischbein (Fischbein의 직관에 기초한 독립성에 관한 확률지도)

  • Cho, Cha-Mi
    • School Mathematics
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    • v.10 no.3
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    • pp.319-337
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    • 2008
  • Intuitions in independence formed by common language help and also hinder the establishment of new conceptual system about independence as a mathematical term. Intuitions which entail such conflicts can be a driving force in explaining independence but at the same time, it is the impedimental factor causing a misconception. The goal of this paper is to help students use the intuitions properly by distinguishing helpful intuitions and impedimental intuitions. This paper suggests that we need to reveal in teaching the misconception resulting not from mathematic but from linguistic interpretation of independence. This paper points out the need for the clear distinction of independence of trials and independence of events and gives an counterexample of the case that sampling with and without replacement shouldn't be specified as a representative example of independence and dependence of events. The analysis of intuition in this parer is based on intuitions classified by Fischbein and this paper analyzed institutions applied to the concept of independence corresponding intuitions classified by Fischbein.

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A Hierarchical Deficit Round-Robin Packet Scheduling Algorithm for User-Oriented Relative Differentiated Services (사용자 기반 상대적 차별화를 위한 계층적 결손 보완 라운드-로빈 스케줄링 알고리즘)

  • Pyun Kihyun;Lee Jong-Yeol;Cho Sung-Ik
    • Journal of KIISE:Information Networking
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    • v.32 no.6
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    • pp.676-686
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    • 2005
  • The Internet users as well as network providers are eager to have different qualities of service among users beyond the best-effort. In this paper, we propose a scheduling algorithm that provides a differentiated service in the granularity of user sessions. The proposed algorithm is a Hierarchical Deficit Round-Robin (H-DRR) algorithm that is an extension of an existing DRR algorithm. A main advantage is that H-DRR provides service differentiation for throughput-intensive applications such as FTP as well as delay-sensitive applications such as telnet or VoIP without distinguishing the types of applications. The most importance in providing a service differentiation in term of network providers is to have controllability and predictability. We show that H-DRR is superior to DRR in terms of controllability and predictability through both mathematical analysis and simulation experiments. Nevertheless, H-DRR requires O(1) complexity for implementation.

Long-Term Performance Evaluation of Scheduling Disciplines in OFDMA Multi-Rate Video Multicast Transmission (OFDMA 다중률 비디오 멀티캐스트 전송에서 스케줄링 방식의 장기적 성능 평가)

  • Hong, Jin Pyo;Han, Minkyu
    • Journal of KIISE
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    • v.43 no.2
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    • pp.246-255
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    • 2016
  • The orthogonal frequency-division multiple access (OFDMA) systems are well suited to multi-rate multicast transmission, as they allow flexible resource allocation across both frequency and time, and provide adaptive modulation and coding schemes. Unlike layered video coding, the multiple description coding (MDC) enables flexible decomposition of the raw video stream into two or more substreams. The quality of the video stream is expected to be roughly proportional to data rate sustained by the receiver. This paper describes a mathematical model of resource allocation and throughput in the multi-rate video multicast for the OFDMA wireless and mobile networks. The impact on mean opinion score (MOS), as a measurement of user-perceived quality (by employing a variety of scheduling disciplines) is discussed in terms of utility maximization and proportional fairness. We propose a pruning algorithm to ensure a minimum video quality even for a subset of users at the resource limitation, and show the optimal number of substreams and their rates can sustain.

A Comparative Review of Radiation-induced Cancer Risk Models

  • Lee, Seunghee;Kim, Juyoul;Han, Seokjung
    • Journal of Radiation Protection and Research
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    • v.42 no.2
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    • pp.130-140
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    • 2017
  • Background: With the need for a domestic level 3 probabilistic safety assessment (PSA), it is essential to develop a Korea-specific code. Health effect assessments study radiation-induced impacts; in particular, long-term health effects are evaluated in terms of cancer risk. The objective of this study was to analyze the latest cancer risk models developed by foreign organizations and to compare the methodology of how they were developed. This paper also provides suggestions regarding the development of Korean cancer risk models. Materials and Methods: A review of cancer risk models was carried out targeting the latest models: the NUREG model (1993), the BEIR VII model (2006), the UNSCEAR model (2006), the ICRP 103 model (2007), and the U.S. EPA model (2011). The methodology of how each model was developed is explained, and the cancer sites, dose and dose rate effectiveness factor (DDREF) and mathematical models are also described in the sections presenting differences among the models. Results and Discussion: The NUREG model was developed by assuming that the risk was proportional to the risk coefficient and dose, while the BEIR VII, UNSCEAR, ICRP, and U.S. EPA models were derived from epidemiological data, principally from Japanese atomic bomb survivors. The risk coefficient does not consider individual characteristics, as the values were calculated in terms of population-averaged cancer risk per unit dose. However, the models derived by epidemiological data are a function of sex, exposure age, and attained age of the exposed individual. Moreover, the methodologies can be used to apply the latest epidemiological data. Therefore, methodologies using epidemiological data should be considered first for developing a Korean cancer risk model, and the cancer sites and DDREF should also be determined based on Korea-specific studies.

The Effects of STEAM Program on the Scientific Communication Skills and the Learning Flow of Elementary Gifted Students (STEAM 프로그램이 초등영재학생의 과학적 의사소통능력과 학습몰입에 미치는 영향)

  • Bak, Aerina;Kim, Yong Kwon
    • Journal of Korean Elementary Science Education
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    • v.33 no.3
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    • pp.439-452
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    • 2014
  • The purpose of this study is to find out the effect of STEAM program on the scientific communication skills and the learning flow of elementary gifted students. The main findings of this study are as follows: First, STEAM program that mathematical, technical, engineering and art factors were combined based on basic concepts of science were developed. Seconds, the change in the scientific communication skills of experimental group applying STEAM program had statistically meaningful difference (p<.05). Third, the flow of experimental class improved, but it had no meaningful difference statistically (p>.05). But it is expected that continuing level adjusted STEAM program might have positive effect on improving the flow with the following three reasons: 1) The gifted students' flow level on learning before experiment was rather too high to expect short term effect. 2) It was hard for them to achieve flow experience because topic difficulties and students' capacities were not balanced. 3) topic commitments and autotelic behaviors of gifted students were observed during classes. Fourth, by the result of the student satisfaction questionnaire survey on this program, students actively participated in the STEAM program with interest and curiosity. As achieved self-directed problem solving, versatile communication activities and success experiences, their class satisfaction was high. Based on such results, it was expected that the gifted class applied of STEAM program could enhance scientific communication capacity of the elementary gifted students and would further positively influence flow of learning as well. In addition, it was considered to have integrated approach value to elementary gifted and talented education in the aspect that it could satisfy various educational demands of gifted students.

Performance Analysis of Random Resource Selection in LTE D2D Discovery (LTE D2D 디스커버리에서 무작위 자원 선택 방법에 대한 성능 분석)

  • Park, Kyungwon;Kim, Joonyoung;Jeong, Byeong Kook;Lee, Kwang Bok;Choi, Sunghyun
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.42 no.3
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    • pp.577-584
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    • 2017
  • Long Term Evolution device-to-device (LTE D2D) is a key technology to mitigate data traffic load in a cellular system. It facilitates direct data exchange between neighboring users, which is preceded by D2D discovery. Each device advertises its presence to neighboring devices by broadcasting its discovery message. In this paper, we develop a mathematical analysis to assess the probability that discovery messages are successfully transmitted at the D2D discovery stage. We make use of stochastic geometry for modeling spatial statistics of nodes in a two dimensional space. It reflects signal to noise plus interference ratio (SINR) degradation due to resource collision and in-band emission, which leads to the discovery message reception probability being modeled as a function of the distance between the transmitter and the receiver. Numerical results verify that the newly developed analysis accurately estimates discovery message reception probabilities of nodes at the D2D discovery stage.

An Analysis on the 2011 Elementary School Mathematics Curriculum Compared to the 2007 Elementary School Mathematics Curriculum with a Focus on Changes in Learning Topics (2007 초등수학과 교육과정과 2011 초등수학과 교육과정의 비교.분석: 변화 내용을 중심으로)

  • Park, Kyo-Sik
    • Journal of Elementary Mathematics Education in Korea
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    • v.15 no.3
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    • pp.579-598
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    • 2011
  • In this study, the 2011 elementary school mathematics curriculum was analyzed compared to the 2007 elementary school mathematics curriculum with a focus on changes in specified learning topics. First, the topics which are dealt with in the 2011 curriculum were critically discussed. Second, prominent features which can be found in learning topics in 2011 curriculum were found. The following three conclusions which can be obtained from above analyzed results were presented. First, system for curriculum development is necessary to supplement. The process of draft development for public hearing and final curriculum development is not exposed anywhere. It is necessary to clean up and disclose this process in order to study and develop next curriculum. Second, it is necessary to modify the way of stating in curriculum. it is necessary to specify and use the expressions to some extent the meaning of which are not sufficiently established and the meaning of which are ambiguous. Third, the achievement standards set by 2011 curriculum needs to be consistent. The principles for stating achievement standards are necessary. it is necessary to review the link between elementary and middle school curriculum is well-made.

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