• Title/Summary/Keyword: 한국 수학

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The Applicability of Minimum Entropy Deconvolution Considering Spatial Distribution of Sampling Points (지하수 함양량 추정시 공간상에서의 자료 Sampling 방법에 따른 Minimum Entropy Deconvolution의 적용성에 관한 검토)

  • Kim Tae-Hee;Kim Yong-Je;Lee Kang-Keun
    • Journal of Soil and Groundwater Environment
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    • v.11 no.3
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    • pp.52-58
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    • 2006
  • Kim and Lee (2005) suggested Minimum Entropy Deconvolution (MED) to estimate the temporal sequence of the relative recharge. However this study by Kim and Lee (2005) was just related to the verification of the conceptual approach with MED. In this study, we try to characterize the applicability of MED in the case of spatially heterogeneous recharge (distance from recharge area). Simulated results were recorded with some specific sampling points. Estimated results from this study show higher than 0.8 in cross-correlation with the original recharge sequence. In addition, the physical and mathematical meanings of the applied filter length was also investigated. It was revealed that the length of filter is highly related to the spatial distance between recharge area and the monitoring site, and the apparent shape of hydraulic head change.

Comparative analysis of caisson sections of composite breakwaters evaluated by Level I reliability-based design method (Level I 신뢰성 기반 설계법에 의해 산정된 혼성제 케이슨 단면의 비교 분석)

  • Lee, Cheol-Eung;Park, Dong Heon;Kim, Sang Ug
    • Journal of Korea Water Resources Association
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    • v.51 no.7
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    • pp.543-554
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    • 2018
  • A methodology has been presented for evaluating the partial safety factors on the sliding failure mode of vertical caissons of composite breakwaters and for determining the cross sections of those by Level I reliability-based design method. Especially, a mathematical model has been suggested for the sake of a consistency of code format as well as convenience of application in practical design, for which the uncertainties associated with buoyancy and its own weight can be taken into account straightforwardly. Furthermore, design criteria equation has been derived by considering accurately the effect of uplift pressure, so that the cross sections of caissons can be assessed which must be safe against the sliding failure. It has been found that cross sections estimated from partial safety factors proposed in this paper are in very good agreement with the results of Level II AFDA and Level III MCS under the same target probability of failure. However, partial safety factors of the Technical Standards and Commentaries for Port and Harbour Facilities in Japan and Coastal Engineering Manual in USA tend to estimate much bigger or smaller cross sections in comparison to the present results. Finally, many reliability re-analyses have been performed in order to conform whether the stability level of cross section estimated by Level I reliability-based design method is satisfied with the target probability of failure of partial safety factors or not.

Design Scheme to Develop Integrated Remediation Technology: Case Study of Integration of Soil Flushing and Pneumatic Fracturing for Metal Contaminated Soil (복합복원기술 개발을 위한 설계안 : 중금속 오염토양을 위한 토양세척과 토양파쇄의 통합 사례 연구)

  • Chung, Doug-Young;Yang, Jae-E.
    • Korean Journal of Soil Science and Fertilizer
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    • v.39 no.1
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    • pp.29-37
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    • 2006
  • In remediation of the contaminated soil, it requires to select at least more than two remediation technologies depending on the fate and transport phenomena through complicated reactions in soil matrix. Therefore, methodologies related to develop the integrated remediation technology were reviewed for agricultural soils contaminated with heavy metals. Pneumatic fracturing is necessary to implement deficiency because soil washing is not effective to remove heavy metals in the subsurface soil. But it needs to evaluate the characteristics such as essential data and factors of designated technology in order to effectively apply them in the site. In the remediation site, the important soil physical and chemical factors to be considered are hydrology, porosity, soil texture and structure, types and concentrations of the contaminants, and fate and its transport properties. However, the integrated technology can be restrictive by advective flux in the area which remediation is highly effective although both soil washing and pneumatic fracturing were applied simultaneously in the site. Therefore, we need to understand flow pathways of the target contaminants in the subsurface soils, that includes kinetic desorption and flux, predictive simulation modeling, and complicated reaction in heterogenous soil.

Dose Evaluation of Childhood Leukemia in Total Body Irradiation (소아백혈병의 전신방사선조사시 선량평가)

  • Lee, Dongyeon;Ko, Seongjin;Kang, Sesik;Kim, Changsoo;Kim, Donghyun;Kim, Junghoon
    • Journal of the Korean Society of Radiology
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    • v.7 no.4
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    • pp.259-264
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    • 2013
  • Total body irradiation in the treatment of childhood leukemia, which is one of the pre-treatment with stem cell transplantation is being used, the current organization using compensators are treated. However, under the terms of the compensator organization long-term impact on the human body, it is difficult to assess directly. In this study, we use the mathematical simulation of radiation exposures body energy and the distance to the crew and the patient (source surface distance, SSD), and patients with tissue compensators change of the distance along the body of the organ doses were evaluated. As a result, the surface dose of energy 4 MV, SSD 280 cm, tissue compensators and the patient when the distance 30 cm 5.84 G / min showed the highest levels. In addition, patients with tissue compensators and the distance apart when 30 cm TBI represents the ideal dose distribution was found.

Stochastic Timed Net and Its Minimum Cycle Time Analysis (확률적 시간 넷과 최소 순회 시간 분석)

  • Yim Jae-Geol;Shim Kyu-Bark
    • Journal of Korea Multimedia Society
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    • v.9 no.5
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    • pp.671-680
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    • 2006
  • As a mathematical technique with which we can find the minimum duration time needed to fire all the transitions at least once and coming back to the initial marking in a timed net, the minimum cycle time method has been widely used in computer system analysis. A timed net is a modified version of a Petri net where a transition is associated with a delay time. A delay time used in a timed net is a constant even though the duration time associated with an event in the world is a stochastic number in general. In the consequence, the result of minimum cycle time analysis is not realistic. Therefore, we propose ‘Stochastic Timed Net' where a transition can be associated with a stochastic number and introduce a minimum cycle time analysis method for ‘Stochastic Timed Net’ As an example of the application of ‘Stochastic Timed Net’, we introduce a ‘Stochastic Timed Net' model of a Location Based Service Providing Multimedia System and the result of minimum cycle time analysis of it. Whereas the typical form of the result of the existing minimum cycle time analysis is 'It takes at least 10 time units', the typical form of the result of minimum cycle time analysis of a ‘Stochastic Timed Net' is in the probability form such as "The probability of the events in which it finishes its job within 10 time units is 85%."

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Performance Analysis of Location-Aware System based on Active Tags (능동태그 기반 위치인식 시스템의 성능 분석)

  • So, Sun-Sup;Eun, Seong-Bae;Kim, Jin-Chun
    • Journal of the Korea Institute of Information and Communication Engineering
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    • v.11 no.2
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    • pp.422-429
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    • 2007
  • Location awareness is one of the key functionalities to build an U-city. Recently, many of works of the location-aware systems are emerging to commercially apply to on-going large-scale apartment complex based on U-city. As dwellers or cars being attached with active tags are moving in the U-city complex, the active tags periodically broadcast their own identifiers and receivers fixed along the street or in building use those information to calculate location of them. There are several issues to be considered for such an environment. The first is that the number of active tags operating in the same region are large as much as tens of thousands, and the second is that the active tags should be alive without change of batteries more than a year, hence low power consumption is very important. In this paper we propose i) a new architecture for location-aware system considering such issues, ii) technical issues to implement it using active tags, and iii) a mathematical analytic model to investigate overall performance and verify it by comparing with actual experimental results. Through the analysis we can show the theoretical boundary of the lowest packet loss rate and the maximum number of tags with acceptable performance for the systems based on active tags. The results can be applied to practical design of location-based systems of U-City projects.

Location Environment of Prehistoric and Ancient Remains in Daejeon Area (대전지역에 있어서 선사·고대 유적의 입지환경)

  • Park, Ji-Hoon;Jang, Dong-Ho;Kim, Chansoo
    • Journal of The Geomorphological Association of Korea
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    • v.19 no.1
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    • pp.41-56
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    • 2012
  • The purpose of this study is to look into the location environment of prehistoric and ancient remains (hereinafter referred as remains) in Daejeon Area. For the purpose of this, out of remains reported in investigation areas so far with the object of remains (total 22 places) of New Stone Age -Proto Three Kingdom period, geographical and Geomorphological analysis was conducted. The results are like the following. Most of the remains are distributed over hills especially flat surface - semi-gentle slope of hills. The bed rocks of the remains (21 places, about 95%) are composed of double-mica granite. The remains (19 places, 86%) retain 'the 1st-2nd small scale river and '5th or higher medium scale river'within comparatively short distance at the same time. The average altitude of remains is 71m and most remains are located over the altitude of 50 - 90m. The average gradient of hillslop where the remains are located is $6.7^{\circ}$ and the remains (15 places, 71%) are located over the gradient of about $0-15^{\circ}$. And the tendency that the higher the gradient of remains the smaller the number of remains was confirmed. From the above, it is judged that the inhabitants who lived in Daejeon Area at that time preferred hills with comparatively not high altitude and the earth's surface of low gradient and in addition they recognized water (river) as being important when they selected the location of settlement (or dwelling sites group).

Analysis of the Effect of Sincere Learning Attitudes on Academic Achievement in On-line Education (온라인 교육에서 성실한 학습 태도가 학업 성취도에 미치는 영향 분석)

  • Lee, Eunjoo;Jeong, Youngsik
    • Journal of The Korean Association of Information Education
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    • v.23 no.5
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    • pp.481-489
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    • 2019
  • In order to explore the learning attitude of the learners and the effects of conscious learning attitudes on academic achievement in On-line education system of open high school, we analyze the log data of 2,965 first graders who studied English, Math, Integrated Society and Integrated Science during the first semester of 2018. This study examines the learning status according to the learner's background variables, and analyzes the number of lessons per hour, learning progress rate, learning period, learning start month, and formative evaluation results for each class. In addition, to verify the effects of conscious learning attitude on academic achievement, skewness and kurtosis are calculated by using learning frequency values for each class. As a result, in almost all fields, the average number of lessons per class, study duration, progress rate, and grades, women are higher than men. In addition, the older ones are, the higher they are and the Seoul area is higher than the other area. The average learning period is 2~3 months, and the longer the learning period, the higher the formative evaluation score. Lastly, even though the number of learning is lower than that of learners who concentrate on a certain period of time, the formation scores of learners who learn consciously are higher.

Why Won't the Field Wall Collapse in the Typhoon? : Mathematical Approach to Non-orthogonal Symmetric Weighted Hadamard Matrix I (밭담은 태풍에 왜 안 무너지나?: 비직교 대칭 하중 아다마르 행렬에 의한 수학적 접근 I)

  • Lee, Moon-Ho;Kim, Jeong-Su
    • The Journal of the Institute of Internet, Broadcasting and Communication
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    • v.19 no.5
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    • pp.211-217
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    • 2019
  • The three major inventions of Jeju include the field wall of Kim Koo Pan Gwan in 1234, Jeongnang in the custom of grazing the people of Jeju, and Olleh in the tomb of Munbang-gui in 1406. Field wall, Oedam from the stone and the stone of numerical play, made Koendang, a friendship society. Even with a typhoon that is more than 30m/s, the Koendang which is about 1.5m high, will not collapse. Similarly, the main family networks of Jeju society do not collapse under any difficulties situation. When building a field wall, two stones, which are under the ground, are placed side by side, and the upper left stone is placed on top and the upper right stone is attached regularly. One stone or two stone is attached from the bottom to the top, and when a stone is small or large, a flat field is formed in one space. The Family networks is close to the grandfather, grandmother, father, mother, and me, and the distant kin represents a horizontal relationship. The field wall is a vertical relationship that builds up from bottom to top of the vertical relation, while the Koendang is a horizontal relationship where blood is distributed to the grandson of his upper grandparents. This paper proves by a non-orthogonal symmetric weighted Hadamard matrix of whether the stone in the middle of a field wall has large stones (small).

Depth Dose Distribution of Proton Beams by Variation of Tumor Density using Geant4 (Geant4 전산모사를 이용한 종양의 밀도 변화에 따른 양성자의 선량 분포)

  • Kim, You-Me;Chon, Kwon-Su
    • Journal of the Korean Society of Radiology
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    • v.15 no.6
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    • pp.771-779
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    • 2021
  • It is necessary to overlap several peaks to form spread out Bragg peak (SOBP) in order to cover the tumor volume because a mono-energetic proton beam forms a narrow Bragg peak. The tumor density has been considered as a brain tissue and then the absorbed dose of the tumor is calculated using Monte Carlo simulations. However, densities of tumors were not a constant. In this study, the SOBP of proton beams was calculated according to changing density of tumors by using Geant4. Tumors were selected as 10 mm and 20 mm width which were the treatment range in the brain phantom. The energies and relative weights of the proton beams were calculated using mathematical formula to form the SOBP suitable for the location and size of the tumor. As the density of the tumor was increased, the 95% modulation range and the practical range were decreased, and average absorbed dose in the 95% modulation range was increased. The change of the tumor density affects the dose distribution of the proton beams, which results in short SOBP within the tumor volume. The consideration of the tumor density affects the determination of the range, so that the margin of the treatment volume can be minimized, and the advantages of proton therapy can be maximized.