• Title/Summary/Keyword: 함수지도

Search Result 264, Processing Time 0.025 seconds

Shape similarity measure for M:N areal object pairs using the Zernike moment descriptor (저니키 모멘트 서술자를 이용한 M:N 면 객체 쌍의 형상 유사도 측정)

  • Huh, Yong;Yu, Ki-Yun
    • Journal of the Korean Society of Surveying, Geodesy, Photogrammetry and Cartography
    • /
    • v.30 no.2
    • /
    • pp.153-162
    • /
    • 2012
  • In this paper, we propose a new shape similarity measure for M:N polygon pairs regardless of different object cardinalities in the pairs. The proposed method compares the projections of two shape functions onto Zernike polynomial basis functions, where the shape functions were obtained from each overall region of objects, thus not being affected by the cardinalities of object pairs. Moments with low-order basis functions describe global shape properties and those with high-order basis functions describe local shape properties. Therefore several moments up to a certain order where the original shapes were similarly reconstructed can efficiently describe the shape properties thus be used for shape comparison. The proposed method was applied for the building objects in the New address digital map and a car navigation map of Seoul area. Comparing to an overlapping ratio method, the proposed method's similarity is more robust to object cardinality.

The Effects of Locational Point Representation of Apartment Complexes on Hedonic Valuation of Air Quality (공동주택 위치표현 방법이 대기질의 한계잠재가격 측정에 미치는 영향)

  • Chul Sohn
    • Journal of the Korean Geographical Society
    • /
    • v.38 no.6
    • /
    • pp.949-960
    • /
    • 2003
  • The marginal implicit price of air quality can be measured by taking a partial derivative of hedonic price function (HPF) with respect to the level of air quality. It has been pointed out that the size of the marginal implicit price varies with the use of different function forms, different estimation methods, and the different ways of measuring air quality level in estimating HPF. In addition to these factors, this study shows theoretically and empirically the way housing properties are represented on a digital map could differentiate the size of marginal implicit price of air quality when GIS is used to measure location attributes of the housing properties in the Korean apartment market. Furthermore, this study shows that the degree of difference in the marginal implicit price due to the manner in which housing properties are represented on a digital map can be larger than the degree of difference in the marginal implicit price due to using different function forms and estimation methods. The major implication from the results of this study is that one should carefully try diverse ways of representing housing properties in the Korean apartment market on a digital map in the process of estimating HPF, as he or she usually tries diverse function forms and estimation methods, to see if the value of the marginal implicit price of air quality varies substantially.

중학교 함수영역에서 수학적 모델링을 활용한 수행과제와 구체적 평가기준안 개발

  • Jo, Won-Ju;Gwon, O-Nam
    • Communications of Mathematical Education
    • /
    • v.14
    • /
    • pp.349-370
    • /
    • 2001
  • 21C 사회는 실생활의 많은 현상들과 문제들을 수학적으로 해결하기 위한 능력을 요구하고 있다. 따라서, 21C가 요구하는 수학교육의 역할도 실생활에서 접하는 현상 또는 문제들의 수학적 모델을 구성하여 해를 구하고, 그 결과를 실생활에 비추어 해석하는 경험을 제공하고 그 능력을 발전시키는 것을 포함한다고 하겠다. 따라서, 본 연구는 수학적 모델링이 수학에 대한 사회적 요구를 달성할 수 있는 효과적인 하나의 방법이 될 것이라는 믿음을 가지고, 수학적 모델링 활동을 중학교 수학 교육의 중심 제재인 함수의 지도에 활용하기 위한 구체적 실천방안을 논의한다. 이를 위해 연구문제를 '1. 일선 수학 교사들은 수학적 모델링의 개념을 어느 정도 파악하고 있으며 그 활용가치와 활용 가능성에 대해 어떻게 판단하고 있는가?', '2. 중학교 함수 영역의 수학적 모델링 수행 과제와 그에 따른 구체적 평가 기준안을 개발한다.’로 설정하고, 연구문제 1을 해결하기 위해 임의로 선택된 서울과 경기도의 현직 수학교사 47명을 대상으로 설문조사를 실시하였으며, 연구문제 2를 해결하기 위해서는 설문결과에서 얻은 현장의 요구를 바탕으로 중학교 함수 영역의 수학적 모델링 수행과제와 구체적인 평가 기준안을 개발한 후, 개발된 과제와 평가 기준안은 현직교사 3인의 자문을 얻어 내용 타당도와 신뢰도를 검증하였다.

  • PDF

An Analysis of Elementary School Students' Understanding of Functional Relationships (초등학교 2, 4, 6학년 학생들의 함수적 관계 이해 실태 조사)

  • Choi, Ji-Young;Pang, Jeong-Suk
    • School Mathematics
    • /
    • v.14 no.3
    • /
    • pp.275-296
    • /
    • 2012
  • This study investigated elementary school students' understanding of basic functional relationships. It analyzed the written responses from a total of 2087 students of second, fourth, and sixth graders using tests that examined their understanding of five types of functional relationships. The results of this study showed that students tended to be more successful as their grades went up with regard to all the problem types. There were statistically differences among the three grade levels. Even lower graders were quite successful in dealing with additive relation, direct proportion, and inverse proportion. However the items dealing with square relation and linear relation were difficult even to sixth graders. It was common that students were good at completing the table by looking for a pattern from the given numbers but that they had difficulties in anticipating the value of 'y' when the value of 'x' is given either as a big number or as a symbol. Given these results, this paper includes issues and implications on how to foster functional thinking ability at the elementary school.

  • PDF

Ability of Recognizing and Representing the Relations between Two Quantities by Seven to Nine Years Old Students (7~9세 학생들의 관계 파악 및 표현 능력)

  • Pang, JeongSuk;Lee, YuJin
    • Journal of Elementary Mathematics Education in Korea
    • /
    • v.21 no.1
    • /
    • pp.49-72
    • /
    • 2017
  • Despite the importance and necessity of functional thinking in a primary school there has been lack of research in this area, specifically regarding young children. Given this, this study analyzed how students aged from 7 to 9 would figure out and represent the co-variational relationships in context-driven tasks. Semi-clinical interviews were conducted with a total of 12 students. Interview tasks included three types of functions: (a) y=x, (b) y=x+1, and (c) y=x+x. The results of this study showed that most students were able to figure out co-variational relationships in diverse ways. Some factors such as types of function or characteristics of tasks had an impact on how students recognized the relationships. The students also could represent the relationship in diverse ways such as gesture, picture, natural language, and variables. They usually used natural language, but had a trouble using variables when representing the relation between co-varying quantities. Based on these results, this study provides implications on how to foster functional thinking ability at the elementary school.

  • PDF

Development of Korean Peninsula VS30 Map Based on Proxy Using Linear Regression Analysis (일반선형회귀분석을 이용한 프락시 기반 한반도 VS30지도 개발)

  • Choi, Inhyeok;Yoo, Byeongho;Kwak, Dongyoup
    • KSCE Journal of Civil and Environmental Engineering Research
    • /
    • v.42 no.1
    • /
    • pp.35-44
    • /
    • 2022
  • The VS30 map is used as a key variable for site amplification in the ShakeMap, which predicts ground motion at any site. However, no VS30 map considering Korean geology and geomorphology has been developed yet. To develop a proxy-based VS30 map, we used 1,101 VS profiles obtained from a geophysical survey and collected proxy layers of geological and topographical information for the Korean Peninsula. Then, VS30 prediction models were developed using linear regression analysis for each geological age considering the distribution of VS30. As a result, models depending on geomorphology were suggested per each geologic group, including Quaternary, Fill, Ocean, Mesozoic group and Precambrian. Resolution of map is doubled from that of VS30 map by U.S. Geological Survey (USGS). Standard deviation of residual in natural log of proxy-based VS30 map is 0.233, whereas standard deviation of slope-based USGS VS30 map is 0.387. Therefore, the proxy-based VS30 map developed in this study is expected to have less uncertainty and to contribute to predicting more accurately the ground motion amplitude.

An Explorator Spatial Analysis of Shigellosis (세균성 이질의 탐색적 공간분석)

  • 박기호
    • Journal of the Korean Geographical Society
    • /
    • v.34 no.5
    • /
    • pp.473-491
    • /
    • 1999
  • 세균성 이질은 국내 제1종 법정 전염병으로 분류되어 관리되고 있는 질환으로서 1998년 이후 그 발병 사례가 급속히 증가하고 있다. 본 연구는 1999년 3월 부산시 사상구에서 집단 발병한 세균성 이질을 대상으로 하여, 각 환자들의 발병 시점과 장소의 분포패턴에 대한 지리학적 고찰을 목적으로 한다. 환자분포의 특징적 공간패턴과 그들의 시계열적 확산 양상 등을 탐색하기 위한 방법론은 보건지리학과 지도학 및 공간통계학에 기반을 둔 공간분석기법을 중심으로 설정하였다. 분석자료는 해당 지역의 수치지형도, 지적도, 인구 센서스 자료를 포함한 GIS 데이터베이스로 구축되었다. 인구분포를 감안한 밀도구분도를 바탕으로 개별환자의 위치자료와 동 단위로 집계된 자료를 자료의 형태에 따라 분석기법을 달리하였으며, 환자 발생 밀도, 상대적 위험지수 등을 지도화하여 역학자료의 시각적 통계적 분석을 수행하였다. 환자분포의 공간적 중심위치와 분산의 변화 등 기술적 통계분석과 함께 제1차 공간속성을 커널추정법으로 찾아보았다. 이와 더불어 ‘공간적 의존성’과 관련된 제2차 공간속성은 K-함수와 시뮬레이션을 통해 분석하여 군집성 등이 통계적으로 확인되었다. 본 연구를 통해 역학조사시 GIS의 활용사례가 제시되었으며, 모집단 인구를 고려한 확률지도 작성 기법과 다양한 데이터 가시화 방법, 그리고 시계열별 발생 환자들의 지리적 변이를 분석 하는데 따르는 문제들이 논의되었다.

  • PDF

The Analysis of the Way of Teaching and Learning Logarithms with a Historical Background in High School Mathematics (학교수학 관점에서 살펴본 로그의 역사적 배경과 교수-학습 방법에 대한 고찰)

  • Cho, Cheong-Soo
    • Communications of Mathematical Education
    • /
    • v.25 no.3
    • /
    • pp.557-575
    • /
    • 2011
  • The purpose of this paper is to analyze the way of teaching and learning logarithm in high school mathematics and provide practical suggestions for teaching logarithms. For such purpose, it reviewed John Napier's life and his ideas, the effect of logarithms on seventeenth century science, and a logarithmic scale and its methods of calculation. With this reviews, introduction of logarithms with function concept, logarithmic calculation with common logarithms, and the formula of converting to other logarithmic bases were reviewed for finding a new perspective of teaching and learning logarithms in high school mathematics. Through such historical and pedagogical reviews, this paper presented practical suggestions and comments about the way of teaching and learning logarithms in high school mathematics.

Development of the Local Map Construction Algorithm Using an Ultrasonic Array Sensor System (초음파 배열센서 시스템을 이용한 국부지도작성 알고리즘의 개발)

  • 이상룡;박상혁;이종규
    • Transactions of the Korean Society of Mechanical Engineers
    • /
    • v.18 no.11
    • /
    • pp.2902-2912
    • /
    • 1994
  • The ultrasonic array sensor system, consisting of one transmitter and fourreceivers instead of the traditional combination of a transmitter and a receiver is proposed in order to identify the location of objects. From the theoretical analysis and the experimental results, it is found that this new array sensor system could derive the information on the position of objects accurately, while the traditional sensor system could provide only the informatioin on the distance to objects. This sensor system is used to develop a sonar-based local mapping algorithm. The local map is used to find the existence of possible gates, through which the mobile robots can pass, and to select the suitable one in order for the robots to reach the goal safely in the presence of obstacles. The performance of the proposed local map algorithm is demonstrated experimentally in a small working area with several obstacles. It is found that the quality of the resulting local map is sufficient for the avoidance of collisions between the robots and obstacles and for the selection of the suitable gate leading to the goal. It is also shown that the global map of the working area could be obtained by integrating several local maps constructed from different locations and that it matches the actual layout of the working area well.

Semi-supervised GPT2 for News Article Recommendation with Curriculum Learning (준 지도 학습과 커리큘럼 학습을 이용한 유사 기사 추천 모델)

  • Seo, Jaehyung;Oh, Dongsuk;Eo, Sugyeong;Park, Sungjin;Lim, Heuiseok
    • Annual Conference on Human and Language Technology
    • /
    • 2020.10a
    • /
    • pp.495-500
    • /
    • 2020
  • 뉴스 기사는 반드시 객관적이고 넓은 시각으로 정보를 전달하지 않는다. 따라서 뉴스 기사를 기존의 추천 시스템과 같이 개인의 관심사나 사적 정보를 바탕으로 선별적으로 추천하는 것은 바람직하지 않다. 본 논문에서는 최대한 객관적으로 다양한 시각에서 비슷한 사건과 인물에 대해서 판단할 수 있도록 유사도 기반의 기사 추천 모델을 제시한다. 길이가 긴 문서 사이의 유사도를 측정하기 위해 GPT2 [1]언어 모델을 활용했다. 이 과정에서 단방향 디코더 모델인 GPT2 [1]의 단점을 추가 학습으로 개선했으며, 저장 공간의 효율과 핵심 문단 추출을 위해 BM25 [2]함수를 사용했다. 그리고 준 지도 학습 [3]을 통해 유사도 레이블링이 되어있지 않은 최신 뉴스 기사에 대해서도 자가 학습을 진행했으며, 이와 함께 길이가 긴 문단에 대해서도 효과적으로 학습할 수 있도록 문장 길이를 기준으로 3개의 단계로 나누어진 커리큘럼 학습 [4]방식을 적용했다.

  • PDF