• Title/Summary/Keyword: 함수지도

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Seismic Risk Assessment of Extradosed Bridges with Lead Rubber Bearings (LRB 면진장치가 설치된 엑스트라도즈드교의 지진위험도 평가)

  • Kim, Doo Kie;Seo, Hyeong Yeol;Yi, Jin-Hak
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.26 no.1A
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    • pp.155-162
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    • 2006
  • This study presents the seismic risk assesment for an extradosed bridge with seismic isolators of lead rubber bearings(LRB). First, the seismic vulnerability of a structure and then the seismic hazard of the site are evaluated using earthquake data set and seismic hazard map in Korea, and then the seismic risk of the structure is assessed. The nonlinear seismic analyses are carried out to consider plastic hinges of bridge columns and nonlinear characteristics of soil foundation. The ductility demand is adopted to describe the nonlinear behavior of a column, and the moment-curvature curve of a column is assumed to be bilinear hysterestic. The fragility curves are represented as a log-normal distribution function for column damage, movement of superstructure, and cable yielding. And seismic hazard is estimated using the available seismic hazard maps. The results show that the effectiveness of the seismic isolators for the columns is more noticeable than those for cables and girders, in seismic isolated extradosed bridges under earthquakes.

A Historical and Mathematical Analysis on the Radian (라디안 개념의 역사적 분석과 수학적 분석)

  • Yoo, Jaegeun;Lee, Kyeong-Hwa
    • Journal of Educational Research in Mathematics
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    • v.27 no.4
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    • pp.833-855
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    • 2017
  • This study aims to reinvestigate the reason for introducing radian as a new unit to express the size of angles, what is the meaning of radian measures to use arc lengths as angle measures, and why is the domain of trigonometric functions expanded to real numbers for expressing general angles. For this purpose, it was conducted historical, mathematical and applied mathematical analyzes in order to research at multidisciplinary analysis of the radian concept. As a result, the following were revealed. First, radian measure is intrinsic essence in angle measure. The radian is itself, and theoretical absolute unit. The radian makes trigonometric functions as real functions. Second, radians should be aware of invariance through covariance of ratios and proportions in concentric circles. The orthogonality between cosine and sine gives a crucial inevitability to the radian. It should be aware that radian is the simplest standards for measuring the length of arcs by the length of radius. It can find the connection with sexadecimal method using the division strategy. Third, I revealed the necessity by distinction between angle and angle measure. It needs justification for omission of radians and multiplication relationship strategy between arc and radius. The didactical suggestions derived by these can reveal the usefulness and value of the radian concept and can contribute to the substantive teaching of radian measure.

Improving A Stealth Game Level Design Tool (스텔스 게임 레벨 디자인 툴의 개선)

  • Na, Hyeon-Suk;Jeong, Sanghyeok;Jeong, Juhong
    • Journal of Korea Game Society
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    • v.15 no.4
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    • pp.29-38
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    • 2015
  • In the stealth game design, level designers are to develop many interesting game environments with a variety of difficulties. J. Tremblay and his co-authors developed a Unity-based level design tool to help and automate this process. Given a map, if the designer inputs several game factors such as guard paths and velocities, their vision, and the player's initial and goal positions, then the tool visualizes simulation results including (clustered) possible paths a player could take to avoid detection. Thus with the help of this tool, the designer can ensure in realtime if the current game factors result in the intended difficulties and players paths, and if necessary adjust the factors. In this note, we present our improvement on this tool in two aspects. First, we integrate a function that if the designer inputs some vertices in the map, then the tool systematically generates and suggests interesting guard paths containing these vertices of various difficulties, which enhances its convenience and usefulness as a tool. Second, we replace the collision-detection function and the RRT-based (player) path generation function, by our new collision-check function and a Delaunay roadmap-based path generation function, which remarkably improves the simulation process in time-efficiency.

Analysis on High School Students' Recognitions and Expressions of Changes in Concentration as a Rate of Change (변화율 관점에서 농도 변화에 대한 인식과 표현의 변화 과정에 대한 분석)

  • Lee, Dong Gun;Kim, Suk Hui;Ahn, Sang Jin;Shin, Jae Hong
    • Journal of Educational Research in Mathematics
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    • v.26 no.3
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    • pp.333-354
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    • 2016
  • The aim of the present study is twofold. One is to confirm a hypothesis that a student's rate concept influences her conceiving change of a function in the view of rate of change and the other is to build up foundations for understanding the transition process from her rate concept to the concept of rate of change when she investigates the change of concentration as an intensive quantity. We explored how three participating high school students recognized and expressed change of given functions by using their rate concept as a conceptual tool. The result indicates that a change in students' rate concept might have an effect on understanding how function values change in term of rate of change. We also expect that it could be a catalyst for further research for clarifying the relationship between students' rate concept and their development of a concept of rate of change as a foundation for learning calculus.

An Analysis of Pre-Service Teachers' Understanding of the real number e (예비교사들의 실수 e에 대한 이해)

  • Choi, Eunah;Lee, Hong-Youl
    • Journal of the Korean School Mathematics Society
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    • v.20 no.4
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    • pp.495-519
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    • 2017
  • The purpose of this study is to analyze the concept of the real number e and to investigate the understanding of pre-service teachers about the real number e. 28 pre-service teachers were asked to take a test based on the various ideas of the real number e and 8 pre-service teachers were interviewed. The results of this study are as follows. First, a large number of pre-service teachers couldn't recognize relation between the formal definition and the representations of the real number e. Secondly, pre-service teachers judged appropriately for the irrationality and the construction impossibility of the real number e, but they couldn't provide reasonable evidence. Lastly, pre-service teachers understood the continuous compounding context and exponential function context of the real number e, but they had a difficulty in understanding the geometric context and natural logarithm context of the real number e.

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A 30-year Average Wind Map in North Korea (북한 지역에서의 30년 동안의 평균 바람 지도)

  • Seo, Eun-Kyoung;Yun, Jun-Hee;Park, Young-San
    • Journal of the Korean earth science society
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    • v.30 no.7
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    • pp.845-854
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    • 2009
  • To examine the wind energy potential of North Korea, climatological wind map was constructed using the 30-year hourly observations of wind speed and direction at 27 meteorological stations. This examination was based on the Weibull model, which represents the probability density distribution of wind speed. It was found that overall, high terrain(Geama Gowon) in the central-northern part and south-west coast (Hwanghae-do) of North Korea have the annual average wind speed which exceeds 4 m/s at 50 m altitude above ground. The wind speed >5 m/s is more persistent in spring, but less in summer. Amongst the meteorological stations, Changjin and Yangdok show the most persistent wind speed in time and strength.

북한 지역에서의 30년 동안의 평균 바람 지도

  • Seo, Eun-Gyeong;Yun, Jun-Hui;Park, Yeong-San
    • 한국지구과학회:학술대회논문집
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    • 2010.04a
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    • pp.79-79
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    • 2010
  • 이 연구는 북한지역의 풍력 자원을 조사하기 위한 사전 연구로 30년간의 북한 지역의 27개 지상 관측소의 풍속 (고도 10 m)을 수집하였다. 이 풍속을 고도 50 m로 환산하였으며, 풍속의 확률밀도함수를 Weibull 함수로 가정하여 분석하였다. 30년 동안의 지상 관측 자료를 바탕으로 볼 때, 대체적으로 황해도 해안지역과 개마고원지역에서 평균 풍속이 북한 전역에서의 평균 풍속 4.0 m/s 보다 큰 지역이 나타났다. 따라서, 해안지역에서 바람 자원이 풍부함을 알 수 있었다. 지역의 차이는 있으나, 봄철 동안의 주풍은 북서풍과 남풍계열이 대등하게 나타나고 있으며, 여름은 남풍계열의 바람이 주풍으로 변하며, 가을과 겨울 동안 북서풍 계열이 주된 바람이었다. 고도 80 m 에서 풍속이 5 m/s 이상 지속되는 기간이 연간 30% 이상인 주요 6지점 중 장진을 제외한 나머지 네 곳은 해안에 위치함을 알 수 있다. 북한 지역 내륙의 중심부인 장진에서 연간 평균풍속 4.7 m/s 이상으로 관측 되었다. 이 지역은 개마고원 일대로 낭림산맥과 함경산맥의 두줄기가 만나는 곳으로 산맥에 의해 뒤쪽이 막혀있어 바람이 집중되어 높은 풍속을 나타낸 것으로 보인다. 또한 이 지역은 고원지대에 위치하여 북쪽에서 고도 1 km 이상에서 강하게 불어오는 북서풍의 영향으로 풍속이 높게 나타나는 것으로 보인다. 이 연구에서 사용한 관측자료는 단순히 지상의 풍속과 풍력으로만 분석한 것이므로 몇 가지 제약성을 가지고 있어 추후 보강이 필요하다. 관측지점의 지리적 위치나 주변의 환경에 따라 풍황의 변화가 크게 달라질 수 있으므로, 북한의 지형적인 요인을 고려한 정확한 실측을 통해 정확도를 높이는 풍력 자원 조사가 뒷받침 되어야 한다. 이 연구의 가치는 30년간의 바람 자료를 이용하였기 때문에 북한 지역에서의 풍황을 보는데 중요한 정성적 자료로 쓰여질 수 있으리라 본다. 또한, 이 자료를 바탕으로 풍력에너지 발전의 후보지 선정에 유용하게 활용되기를 기대하며, 더 나아가 두 나라 간에 에너지 교류가 활발히 이루어지기를 바란다.

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A Study on the Trade Area Analysis Model based on GIS - A Case of Huff probability model - (GIS 기반의 상권분석 모형 연구 - Huff 확률모형을 중심으로 -)

  • Son, Young-Gi;An, Sang-Hyun;Shin, Young-Chul
    • Journal of the Korean Association of Geographic Information Studies
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    • v.10 no.2
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    • pp.164-171
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    • 2007
  • This research used GIS spatial analysis model and Huff probability model and achieved trade area analysis of area center. we constructed basic maps that were surveyed according to types of business, number of households etc. using a land registration map of LMIS(Land Management Information System) in Bokdae-dong, Cheongju-si. Kernel density function and NNI(Nearest Neighbor Index) was used to estimate store distribution center area in neighborhood life zones. The center point of area and scale were estimated by means of the center area. Huff probability model was used in abstracting trade areas according to estimated center areas, those was drew map. Therefore, this study describes method that can apply in Huff probability model through kernel density function and NNI of GIS spatial analysis techniques. A trade area was abstracted more exactly by taking advantage of this method, which will can aid merchant for the foundation of small sized enterprises.

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Boundary Detection using Adaptive Bayesian Approach to Image Segmentation (적응적 베이즈 영상분할을 이용한 경계추출)

  • Kim Kee Tae;Choi Yoon Su;Kim Gi Hong
    • Journal of the Korean Society of Surveying, Geodesy, Photogrammetry and Cartography
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    • v.22 no.3
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    • pp.303-309
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    • 2004
  • In this paper, an adaptive Bayesian approach to image segmentation was developed for boundary detection. Both image intensities and texture information were used for obtaining better quality of the image segmentation by using the C programming language. Fuzzy c-mean clustering was applied fer the conditional probability density function, and Gibbs random field model was used for the prior probability density function. To simply test the algorithm, a synthetic image (256$\times$256) with a set of low gray values (50, 100, 150 and 200) was created and normalized between 0 and 1 n double precision. Results have been presented that demonstrate the effectiveness of the algorithm in segmenting the synthetic image, resulting in more than 99% accuracy when noise characteristics are correctly modeled. The algorithm was applied to the Antarctic mosaic that was generated using 1963 Declassified Intelligence Satellite Photographs. The accuracy of the resulting vector map was estimated about 300-m.

The Integration of Rainfall-Runoff Model and Hydraulic Model for Flood Forecasting and Warning System in Nakdong River Basin (낙동강 유역에서의 홍수예.경보를 위한 강우-유출 모형과 수리해석모형의 연계)

  • Kim, Tae-Hyung;Kim, Kwang-Moon;Kim, Pan-Gu;Han, Kun-Yeun
    • Proceedings of the Korea Water Resources Association Conference
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    • 2012.05a
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    • pp.640-640
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    • 2012
  • 낙동강 홍수예경보 시스템은 낙동강 유역의 홍수피해 방지를 위해 1986년에 구축되어 낙동강홍수통제소에서 운영되어 온 이래로 여러 차례에 거친 시스템의 개선 및 보완을 통해 현재의 시스템을 갖추게 되었다. 그러나 4대강 사업을 통해 시행된 하도 준설 및 보 설치로 인한 하도 조건의 변경과 기존의 저류함수모형 및 수위-유량 관계식을 이용한 수위예측의 한계로 인해 낙동강 하도에 대한 수리해석모형 구축의 필요성이 대두되었다. 이에 따라 낙동강 홍수통제소에서는 기존의 저류함수모형을 이용한 강우-유출 해석모형과 낙동강 본류 및 주요 지류에 대한 수리해석 모형을 구축하여 연계하는 과업을 수행 중에 있다. 본 연구에서는 하천기본계획의 설계홍수량의 산정시 적용되는 HEC-HMS 모형을 통해 강우-유출해석모형을 구축하고, 낙동강 본류 및 8개 지류에 대해 FLDWAV 모형을 이용해 수리해석 모형을 구축하여 연계하였다. 수자원단위지도의 표준유역과 수위관측소 지점을 기반으로 하여 낙동강 유역을 287개의 소유역으로 분할하였고, 271개의 분할하도 및 10개의 다목적 댐 방류량을 반영하여 강우-유출 모형을 구축하였다. 수치지형도 및 토양도, 토지이용현황도를 통해 유역유출 및 하도유출에 대한 매개변수 산정하였고, 낙동강 본류 및 지류내의 주요 수위관측소를 유량의 검보정 지점으로 설정하였다. 수리학적 모형 구축을 위해 낙동강 본류의 383개의 단면 및 8개 지류의 497개 단면을 반영하였고, 그 이외의 6개 주요 지류는 측방유입으로 처리하였으며 낙동강 본류에 신설된 8개의 다기능보의 운영을 반영하였다. 각각 구축된 강우-유출 모형과 수리학적 모형은 모듈화하여 연계하였으며, 현재 낙동강홍수통제소에서 운영되고 있는 낙동, 왜관, 현풍, 진동, 삼랑진, 구포, 동촌수위관측소를 홍수예보지점으로 선정하여 모형의 검보정을 실시하였다. 구축된 모형은 낙동강홍수통제소의 홍수예보모형의 계산결과와 비교하여 적용성 및 효율성을 입증할 수 있을 것으로 판단되며, 낙동강에서의 실시간 홍수예 경보를 위한 홍수예보모형으로 활용될 수 있을 것으로 사료된다.

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