• Title/Summary/Keyword: Degree of a map

검색결과 355건 처리시간 0.024초

EQUICONTINUITY OF ITERATES OF A MAP ON THE CIRCLE

  • Cho, Seong-Hoon;Min, Kyung-Jin;Yang, Seung-Kab
    • Bulletin of the Korean Mathematical Society
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    • 제30권2호
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    • pp.239-244
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    • 1993
  • The purpose of this paper is to determine conditions under which equicontinuity of the family of iterates {f$^{n}$ } of a continuous function that maps the circle S$^{1}$ into itself does occur. We shall see that equicontinuity of the family of iterates {f$^{n}$ } occurs only under special cases. Actually, we will show that this happens only for rotations when degree of the function is 1, and for involutions when degree of the function is -1.

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Development of Project Success Model in Enterprise Using FCM (FCM을 이용한 기업프로젝트의 성공 모델 개발)

  • Park, Young-Man;Hwang, Seung-Gook;Park, Kwang-Bak;Lee, Young-Joo
    • Journal of the Korean Institute of Intelligent Systems
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    • 제20권1호
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    • pp.123-128
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    • 2010
  • To increase the chance of the success of project, it is necessary to identify the important factors influencing the performance of project. Cognitive map has been used for analysing by investigating causal links among relevant factors. A fuzzy cognitive map (FCM) is an extension of a cognitive map with the additional capability of representing feedback through weighted causal links. Project performance is influenced by several factors such as input resources, possibility of achievement, concern of others and so on. The object of this paper is to develop the project success model of enterprise using a fuzzy cognitive map approach to investigate the degree of causal relationship between project performance and these factors.

ON THE RATIONAL COHOMOLOGY OF MAPPING SPACES AND THEIR REALIZATION PROBLEM

  • Abdelhadi Zaim
    • Communications of the Korean Mathematical Society
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    • 제38권4호
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    • pp.1309-1320
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    • 2023
  • Let f : X → Y be a map between simply connected CW-complexes of finite type with X finite. In this paper, we prove that the rational cohomology of mapping spaces map(X, Y ; f) contains a polynomial algebra over a generator of degree N, where N = max{i, πi(Y)⊗ℚ ≠ 0} is an even number. Moreover, we are interested in determining the rational homotopy type of map(𝕊n, ℂPm; f) and we deduce its rational cohomology as a consequence. The paper ends with a brief discussion about the realization problem of mapping spaces.

Introduction of the New Evaluation Criteria in the Forest Sector of Environmental Conservation Value Map Using LiDAR (LiDAR를 활용한 국토환경성평가지도 산림부문 신규 평가항목의 도입 가능성 평가)

  • Jeon, Seong-Woo;Hong, Hyun-Jung;Lee, Chong-Soo;Lee, Woo-Kyun;Sung, Hyun-Chan
    • Journal of the Korean Society of Environmental Restoration Technology
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    • 제10권5호
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    • pp.20-30
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    • 2007
  • Environmental Conservation Value Assessment Map (ECVAM) is the class map to divide the national land into conservation areas and development areas based on legal and ecological assessment criteria. It contributes to enhancements of the efficiency and the scientificity when framing a policy in various fields including the environment. However, it is impossible to understand the multiphase vegetation structure as data on judging the national forest class in ECVAM are restricted to areal information of Ecological Nature Status, Degree of Green Naturality and Forest Map. This point drops the reliability of ECVAM. Therefore we constructed vegetation information using LiDAR (Light Detection And Raging) technology. We generated Biomass Class Maps as final results of this study, to introduce the new forest assessment criterion in ECVAM that alternates or makes up for existing forest assessment criteria. And then, we compared these with Forest Map and Landsat TM NDVI image. As a result, biomass classes are generally higher than stand age classes and DBH classes of Vegetation Map, and lower than NDVI of Landsat TM image because of the difference of time on data construction. However distributions between these classes are mostly similar. Therefore we estimates that it is possible to apply the biomass item to the new forest assessment criterion of ECVAM. The introduction of the biomass in ECVAM makes it useful to detect the vegetation succession, to adjust the class of the changed zone since the production of Vegetation Map and to rectify the class error of Vegetation Map because variations on tree heights, forest area, gaps between trees, vegetation vitality and so on are acquired as interim findings in process of computing biomass.

A study on the Residents¡?Behavior for the Planning of the Shared Community Space (공동주택단지의 공동생활공간 구성을 위한 거주자 사용행태 특성에 관한 연구)

  • 조성희;강혜경
    • Journal of the Korean housing association
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    • 제13권3호
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    • pp.103-113
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    • 2002
  • The purpose of this study is to find out the characteristics of users'behavior for the planning of the shared community space(SCS). It was analyzed and estimated that the present status of the SCS of the contemporary multi-family housing sites in Korea and the residents'behavior in the SCS. Theoretic investigation and empirical research methods were used in this study. The empirical survey focused on seeking out user-oriented design criteria, based on the analysis of residents'usage behavior for the SCS. The analysis was made by both quantitative and qualitative methods. The results of this study are as follows; First, as to the usage status survey for the SCS, there is a difference in the degree of usage according to their locations. Second, as to the analysis of the SCS through a mental map, the sketch map analysis is found to be a useful research method for the SCS planning by actualizing the residents'behavior characteristics. In detail, the main characteristics in the SCS planning are nearness, centrality, intimacy, combination of facilities and the connection with the main paths of the complex.

A Study on Development of Brand Positioning Map for Ladies' Ready-to-Wear Utilizing Multidimensional Scaling Method (다차원척도법을 이용한 여성기성복 상표 포지셔닝 연구)

  • Oh Hyun-Ju;Rhee Eun-Young
    • Journal of the Korean Society of Clothing and Textiles
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    • 제14권2호
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    • pp.129-136
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    • 1990
  • The purpose of the study was to develope brand positioning map for ladies' ready-to-wear, to find out evaluative criteria in perception and preference to brands, and to persent the relationship between consumer's characteristics and brand preference. Subjects were selected for the housewives of middle and high socioeconomic classes living in Seoul area. A questionnaire including items of life style, self image, similarity between brands, preference degree to brands, and demographic variables was developed for the empirical study. The questionnaire was administrated to 137 housewives during fall in 1989. Data were analyzed by cluster analysis and multidimensional scaling method. The study had two research problems. The first research problem was to construct a brand perceptual map for ladies' ready-to-wear brands, selected for the study The perceptual map was constructed on the basis of brand similarity scores by multidimensional scaling method. As a result, brands were grouped into 4 clusters, and evaluative criteria for perceptual map were found to be fashionability (classic- fashionable) and familiarity (familiar-unfamiliar). The second problem was to construct a brand preference map for ladies' ready-to-wear brands, selected for the study. The preference map was constructed on the basis of brand preference scores by multidimensional scaling method. As a result, the brands were grouped into 4 clusters and evaluative critiera for preference map were found to be fashionability (unfashionable-fashionable) and image to age (mature-young directed). Also was shown the relationship among self image, age, socioeconomic class, and brand preference. The multidimensional scaling method was found to be useful as well as valid instrument for brand positioning research and the result can be utilized for establishing strategies for ladies' ready-to-wear brands.

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Analysis of Regional Geologic Hazards Using Geographic Information System (GIS(Geographic Information System)를 이용한 광역 지질재해(산사태) 분석 연구)

  • 김윤종;김원영;유일현;박수홍;백종학;이현우
    • Korean Journal of Remote Sensing
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    • 제7권2호
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    • pp.165-178
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    • 1991
  • A geologic hazard map has been produced in the suburbs of Seoul using GIS technology to analyse the degree of geologic hazard, particularly landslides. Topographic, geologic and soil data were incorporated in a map through GIS, which enable to interpret, analyse and predict the regional geologic hazards. Potential elements causing a landslide are slope geometry, geology, groundwater table, soil property, rainfall and vegetation etc. These elements analysed in the study area were input into GIS system through cartographic simulation to produce the regional geologic hazard map. For this work, ARC/INFO(GIS) and ERDAS(IP) system were used.

A Method for Zoning the Parcel-based Protecting Area of the Ecological Network in Forest (지적 기반 산림생태네트워크 보호구역 설정방안)

  • Jang, Rai-Ik;Jang, Gab-Sue;Jung, Ok-Sik;Ra, Jung-Hwa
    • Journal of the Korean Society of Environmental Restoration Technology
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    • 제12권6호
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    • pp.131-142
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    • 2009
  • The purpose of this study is to detect the protection area around the Geum-buk and Geum-nam Mountains for making a sustainable ecological network. The protection area in the Geum-buk and Geum-nam Mountains was analyzed by using spatial data and a field survey for landscape conservation purposes. A survey scope was fixed using digital elevation model, and the protection area was finally determined based on the parcel map called as the Korea Land Information System (KLIS). Here we have several conclusions in this study. First, spatial data used in this study were a map of ecological and natural degree (MEND), forest distribution map, elevation map, slope map, and several maps for the protection area assigned by laws regarding to the natural resources. Second, we used 4 alternatives to determine the best choice for showing the ecological network in the study area. One alternative (alt. 3) of 4 ones was finally chosen as the best condition for making the ecological network. The condition in elevation and slope was a little modified to a lower level in alt, 3. The result derived from alt, 3 reflected the continuity and connectivity in the ecological network and we estimate that the protection area can protect the core area using the buffer zone around the ecological network. Finally the parcel-based protection area in the Geum-buk and Geum-nam Mountains had $493.92km^2$ of the core area, and $233.99km^2$ of the buffer zone, which means the parcel-based protection area increased by $97.76km^2$ in the core area, but decreased by $76.61km^2$ as of in the topographical map.

A study on building outline simplifications considering digital map generalizations (수치지도 작성을 위한 건물외곽선 단순화기법 연구)

  • Park, Woo-Jin;Park, Seung-Yong;Jo, Seong-Hwan;Yu, Ki-Yun
    • Journal of the Korean Society of Surveying, Geodesy, Photogrammetry and Cartography
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    • 제27권1호
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    • pp.657-666
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    • 2009
  • In GIS area, many line simplification algorithms are studied among generalization methods used for making the building data in the form of digital map from the original line data. On the other hand, there are few studies on the simplification algorithm considering the drawing rules of the digital map in Korea. In this paper, the line simplification algorithm based on the drawing rules is proposed as the methodology to create or update the building data of digital map by extracting the building outline from the CAD data used in construction. To confirm the usefulness of the algorithm, this algorithm and four other effective and general line simplification algorithms (e.g., Douglas-Peucker algorithm) are applied to the same building outlines. Then, the five algorithms are compared on five criteria, the satisfaction degree of the drawing rules, shape similarity, the change rate of the number of points, total length of lines, and the area of polygon. As a result, the proposed algorithm shows the 100% of satisfaction degree to the drawing rules. Also, there is little loss in four other mentioned criteria. Thus, the proposed algorithm in this paper is judged to be effective in updating the building data in digital map with construction drawings.

Analysis of Relationship between Objective Performance Measurement and 3D Visual Discomfort in Depth Map Upsampling (깊이맵 업샘플링 방법의 객관적 성능 측정과 3D 시각적 피로도의 관계 분석)

  • Gil, Jong In;Mahmoudpour, Saeed;Kim, Manbae
    • Journal of Broadcast Engineering
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    • 제19권1호
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    • pp.31-43
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    • 2014
  • A depth map is an important component for stereoscopic image generation. Since the depth map acquired from a depth camera has a low resolution, upsamling a low-resolution depth map to a high-resolution one has been studied past decades. Upsampling methods are evaluated by objective evaluation tools such as PSNR, Sharpness Degree, Blur Metric. As well, the subjective quality is compared using virtual views generated by DIBR (depth image based rendering). However, works on the analysis of the relation between depth map upsampling and stereoscopic images are relatively few. In this paper, we investigate the relationship between subjective evaluation of stereoscopic images and objective performance of upsampling methods using cross correlation and linear regression. Experimental results demonstrate that the correlation of edge PSNR and visual fatigue is the highest and the blur metric has lowest correlation. Further, from the linear regression, we found relative weights of objective measurements. Further we introduce a formulae that can estimate 3D performance of conventional or new upsampling methods.