• Title/Summary/Keyword: 수학적 다양성

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Normalization of Face Images Subject to Directional Illumination using Linear Model (선형모델을 이용한 방향성 조명하의 얼굴영상 정규화)

  • 고재필;김은주;변혜란
    • Journal of KIISE:Software and Applications
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    • v.31 no.1
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    • pp.54-60
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    • 2004
  • Face recognition is one of the problems to be solved by appearance based matching technique. However, the appearance of face image is very sensitive to variation in illumination. One of the easiest ways for better performance is to collect more training samples acquired under variable lightings but it is not practical in real world. ]:n object recognition, it is desirable to focus on feature extraction or normalization technique rather than focus on classifier. This paper presents a simple approach to normalization of faces subject to directional illumination. This is one of the significant issues that cause error in the face recognition process. The proposed method, ICR(illumination Compensation based on Multiple Linear Regression), is to find the plane that best fits the intensity distribution of the face image using the multiple linear regression, then use this plane to normalize the face image. The advantages of our method are simple and practical. The planar approximation of a face image is mathematically defined by the simple linear model. We provide experimental results to demonstrate the performance of the proposed ICR method on public face databases and our database. The experimental results show a significant improvement of the recognition accuracy.

Contents and Sequences for Line Segments, Straight Lines, and Rays in Elementary Mathematics Curricula and Textbooks (선분, 직선, 반직선의 학습 내용과 학습 계열 분석)

  • Kim, Sangmee
    • Communications of Mathematical Education
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    • v.37 no.4
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    • pp.635-652
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    • 2023
  • This study conducts a comprehensive analysis of the curricular progression of the concepts and learning sequences of 'lines', specifically, 'line segments', 'straight lines', and 'rays', at the elementary school level. By examining mathematics curricula and textbooks, spanning from 2nd to 7th and 2007, 2009, 2015, and up to 2022 revised version, the study investigates the timing and methods of introducing these essential geometric concepts. It also explores the sequential delivery of instruction and the key focal points of pedagogy. Through the analysis of shifts in the timing and definitions, it becomes evident that these concepts of lines have predominantly been integrated as integral components of two-dimensional plane figures. This includes their role in defining the sides of polygons and the angles formed by lines. This perspective underscores the importance of providing ample opportunities for students to explore these basic geometric entities. Furthermore, the definitions of line segments, straight lines, and rays, their interrelations with points, and the relationships established between different types of lines significantly influence the development of these core concepts. Lastly, the study emphasizes the significance of introducing fundamental mathematical concepts, such as the notion of straight lines as the shortest distance in line segments and the concept of lines extending infinitely (infiniteness) in straight lines and rays. These ideas serve as foundational elements of mathematical thinking, emphasizing the necessity for students to grasp concretely these concepts through visualization and experiences in their daily surroundings. This progression aligns with a shift towards the comprehension of Euclidean geometry. This research suggests a comprehensive reassessment of how line concepts are introduced and taught, with a particular focus on connecting real-life exploratory experiences to the foundational principles of geometry, thereby enhancing the quality of mathematics education.

The relationship between physical fitness factors and academic achievement of high school students in Korea (한국고등학생의 체력요인과 국가수준의 학업성취도의 관계)

  • Mun, Dal Ju;Choi, Seok Joo;Oh, Hyun Ju
    • Korean Educational Research Journal
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    • v.41 no.2
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    • pp.1-23
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    • 2020
  • The purpose of this study is to investigate the relationship between physical fitness factors and academic achievement among high school students. As a research method, cardiopulmonary endurance, flexibility, muscular strength, muscular endurance, quickness, BMI index, and academic achievement of high school students were measured for 641 male and female high school students in 2014 and 2017. The results of this study show that cardiopulmonary endurance is correlated with cardiopulmonary endurance factors (p<0.05), cardiopulmonary endurance is correlated with flexibility and quickness (p<0.05), and flexibility is correlated with academic achievement (p<0.01). Muscle strength was correlated with quickness and body fat (p<0.05), and muscle endurance was correlated with muscle strength, quickness, and BMI (p<0.05), and correlation between quickness (p<0.01), and there was a correlation between academic achievement (p<0.01). The conclusion of this study is that developing and implementing a more effective physical fitness program can contribute to the academic achievement and physical fitness of domestic high school students because various physical activities have a positive relationship with academic achievement in addition to physical fitness.

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P2P-based Group Communication Management Using Smart Mobile Device (스마트 이동 단말을 이용한 P2P 기반 그룹 통신 관리)

  • Chun, Seung-Man;Park, Jong-Tae
    • Journal of the Institute of Electronics and Information Engineers
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    • v.49 no.9
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    • pp.18-26
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    • 2012
  • As the performance of the next-generation broadband wireless networks is dramatically enhanced, various services (i.e., education, video conferencing, online games, etc.) have been provided to users through a smart mobile platform. Since those services are usually provided by using the centralized architecture, it is difficult for a lot of users to provide the scalable communication service with regard to traffic management. To solve these problems, we have proposed an architecture of P2P-based group communication management scheme using smart mobile device. More specifically, we design the group management protocol and algorithm for the group member management and the traffic management. By using these methods, the mobile multimedia streaming service can be provided with scalability. In order to verify the performance of the proposed scheme, we have mathematically analyzed the performance in terms of the average transmission delay and bandwidth utilization.

The Analysis of The Kalman Filter Noise Factor on The Inverted Pendulum (도립진자 모델에서 칼만 필터의 잡음인자 해석)

  • Kim, Hoon-Hak
    • Journal of the Korea Society of Computer and Information
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    • v.15 no.5
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    • pp.13-21
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    • 2010
  • The Optimal results of Kalman Filtering on the Inverted Pendulum System requires an effective factor such as the noise covariance matrix Q, the measurement noise covariance matrix R and the initial error covariance matrix $P_0$. We present a special case where the optimality of the filter is not destroyed and not sensitive to scaling of these covariance matrix because these factors are unknown or are known only approximately in the practical situation. Moreover, the error covariance matrices issued by this method predict errors in the state estimate consistent with the scaled covariance matrices and not the issued state estimates. Various results using the scalar gain $\delta$ are derived to described the relations among the three covariance matrices, Kalman Gain and the error covariance matrices. This paper is described as follows: Section III a brief overview of the Inverted Pendulum system. Section IV deals with the mathematical dynamic model of the system used for the computer simulation. Section V presents a various simulation results using the scalar gain.

Development of Stochastic Markov Process Model for Maintenance of Armor Units of Rubble-Mound Breakwaters (경사제 피복재의 유지관리를 위한 추계학적 Markov 확률모형의 개발)

  • Lee, Cheol-Eung
    • Journal of Korean Society of Coastal and Ocean Engineers
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    • v.25 no.2
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    • pp.52-62
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    • 2013
  • A stochastic Markov process (MP) model has been developed for evaluating the probability of failure of the armor unit of rubble-mound breakwaters as a function of time. The mathematical MP model could have been formulated by combining the counting process or renewal process (CP/RP) on the load occurrences with the damage process (DP) on the cumulative damage events, and applied to the armor units of rubble-mound breakwaters. Transition probabilities have been estimated by Monte-Carlo simulation (MCS) technique with the definition of damage level of armor units, and very well satisfies some conditions constrained in the probabilistic and physical views. The probabilities of failure have been also compared and investigated in process of time which have been calculated according to the variations of return period and safety factor being the important variables related to design of armor units of rubble-mound breakwater. In particular, it can be quantitatively found how the prior damage levels can effect on the sequent probabilities of failure. Finally, two types of methodology have been in this study proposed to evaluate straightforwardly the repair times which are indispensable to the maintenance of armor units of rubble-mound breakwaters and shown several simulation results including the cost analyses.

Statistical Analysis on Residuals from No-Fault Reference Models of a Residential Heat Pump System in Normal Cooling Operation (가정용 열펌프 시스템의 정상냉방 운전조건에서 기준모델에 의한 잔차의 통계적 분석)

  • Kim, Min-Sung;Yoon, Seok-Ho;Baik, Young-Jin
    • Transactions of the Korean Society of Mechanical Engineers B
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    • v.35 no.12
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    • pp.1351-1358
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    • 2011
  • To approximate the threshold of the fault detection and diagnosis (FDD) system, validation of the measurements is mandatory. Naturally, the system shows uncertainties due to measuring sensors - mostly thermocouples or RTDs - and due to repeatability. The uncertainty of a thermocouple comes from natural variation or a drift of the thermocouple measurement. Considering the natural variation behaves like zero-mean white noise, its natural variation can be characterized closely by the steady-state standard deviation. However, residuals between measurements and no-fault references in FDD systems show a statistical distribution with various uncertainties. In this paper, steady-state variations of measurement residuals were investigated by utilizing built-in temperature sensors in a heat pump for the model development and the final application.

Availability Analysis of Multiplex Systems using Software Rejuvenation Method (소프트웨어 재활 기법을 적용한 다중계 시스템의 가용도 분석)

  • Park, Kie-Jin;Kim, Sung-Soo;Kim, Jai-Hoon
    • Journal of KIISE:Computer Systems and Theory
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    • v.27 no.8
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    • pp.730-740
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    • 2000
  • The software rejuvenation method for highly available multiplex systems uses a pro-active fault-tolerant approach to handle system failures. The software rejuvenation prevents failures from occurring, while the previous methods recover from failures after happening. Especially, since the software aging proceeds fast in the software used for the multimedia mobile computing due to the loss of communications or data, the preventive method from failures using software rejuvenation can be used for the multimedia mobile computing. In this paper, according to the operational parameters such as rejuvenation period, rejuvenation time, failure rate and repair rate of the servers, number of running servers, duration of running time, and type of running modes, we calculate steady-state probabilities, downtime, availability, and cost of the multiplex systems using software rejuvenation method. We validate the closed-form solutions of the mathematical model by experiments based on various operational parameters and find that the software rejuvenation method can be adopted as preventive fault-tolerant technique. The failure rate and unstable rate of the servers are essential factors for the decision making of the rejuvenation policies.

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DComparison of nonpoint source models for considering water and nutrient process in paddy fieldsl (물순환 및 물질순환 기작을 고려한 논비점오염 모델링 비교)

  • Cho, Jae-Pil;Jang, Jeong-Ryeol;Jeon, Ji-Hong;Song, In-Hong;Song, Jung-Hun
    • Proceedings of the Korea Water Resources Association Conference
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    • 2012.05a
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    • pp.186-186
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    • 2012
  • 새만금에서 농업용수의 안정적인 확보를 위해서는 새만금호의 수질관리가 절대적으로 필요하며 농업비점오염 부하량이 총인기준으로 52~72%를 차지하는 것을 고려할 때 농업비점오염 관리는 중요하다. 이에 "새만금유역농업비점오염 저감기법 개발 연구"를 통해 논과 밭 등의 농업비점 오염원별 최적관리기법 개발을 목적으로 모니터링 연구가 수행되었다. 유역규모 물수지 및 물질수지 분석에 있어서 논은 전체 농업용수의 60%를 차지하고 있다. 특히 농업비점오염 중에서 논은 물고 및 담수심의 관리에 따라서 기타 토지이용과 상이한 유출특성을 보인다. 따라서 유역규모에서 논으로부터 발생되는 비점오염의 시공간적인 부하량의 변화를 예측하기 위해서는 반드시 논에서의 물관리와 시비관리에 따른 수량과 수질의 유출특성에 대한 분석이 선행되어야 한다. 물관리 및 시비관리 방법에 따라 논으로부터 발생되는 오염부하량이 수질에 미치는 영향을 분석하기 위해서는 논에서의 물수지 및 물질수지 모니터링 기법이 활용될 수 있다. 하지만 모니터링 접근 방식은 오랜 시간과 많은 비용을 필요로 하는 단점을 가지고 있다. 따라서 고려되어 지고 있는 여러 저감기법들 중에서 농업비점오염물질의 유출에 미치는 영향을 파악하여 가장 적합한 저감기법 (Best Managment Practices, BMPs)을 선정하기 위해서 다양한 수학적인 모형들이 사용되어 왔다. 비점오염 관리는 오염물질이 오염원에서 발생되는 양 자체를 줄이거나 또는 오염원으로부터 수체에 이르기까지의 과정에서 운송을 차단시키는 방법들을 활용하고 있다. 따라서 논에서의 비점오염 모델링 또한 논에서의 유출 특성 및 질소와 인과 같은 영양물질과 관련된 기작을 고려한 모형들이 선택 및 적용되어야 한다. 논에서의 물관리 및 시비관리를 고려할 수 있는 모형들로는 CREAMS-PADDY, GLEAMS-PADDY, PADDYMOD, APEX와 같은 모형들이 개발되어 사용되어 왔다. 따라서 본 연구에서 논으로부터의 비점오염 부하량 예측을 위해 사용되어 온 모형들의 장단점을 비교 분석하고 적합한 모형들을 동일한 시험포장에 적용하여 논 비점오염관련 모형들의 국내 적용성을 제시하였다.

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Migration of Low Molecular Weight Substances from Expanded Polystyrene Cup to Aqueous Food Simulant (발포 폴리스티렌 용기로부터 증류수로의 저분자물질 이행)

  • 이동선;송봉수;최진옥;박우포
    • Journal of the Korean Society of Food Science and Nutrition
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    • v.33 no.6
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    • pp.1056-1062
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    • 2004
  • Migration of low molecular weight components from expanded polystyrene (ESP) to distilled water was measured at different temperature conditions. Overall migration and specific monomer migration were measured. Diffusion model based on Fick's law was used to determine the apparent diffusion coefficients at various experimental conditions. The overall and specific migration levels were estimated to give some practical implications for regulatory guideline development and safe package design. Diffusion coefficients for overall migration in KMnO$_4$ oxidizable extractives and specific migration of styrene monomer from ESP at 6$0^{\circ}C$ were 0.030 and 6.8${\times}$10$^{-5}$ $\textrm{mm}^2$/h, respectively. Their temperature dependence could be explained by Arrhenius equation with respective activation energies of 80.5 and 98.6 kJ/㏖. Experimental conditions ensuring desired migration level were suggested for reliable examination of migration from the packaging material. Some explanatory estimations of migrations were given for some typical conditions of potential usages.