• Title/Summary/Keyword: singular map

Search Result 34, Processing Time 0.02 seconds

DYNAMICS OF TRANSCENDENTAL ENTIRE FUNCTIONS WITH SIEGEL DISKS AND ITS APPLICATIONS

  • Katagata, Koh
    • Bulletin of the Korean Mathematical Society
    • /
    • v.48 no.4
    • /
    • pp.713-724
    • /
    • 2011
  • We study the dynamics of transcendental entire functions with Siegel disks whose singular values are just two points. One of the two singular values is not only a superattracting fixed point with multiplicity more than two but also an asymptotic value. Another one is a critical value with free dynamics under iterations. We prove that if the multiplicity of the superattracting fixed point is large enough, then the restriction of the transcendental entire function near the Siegel point is a quadratic-like map. Therefore the Siegel disk and its boundary correspond to those of some quadratic polynomial at the level of quasiconformality. As its applications, the logarithmic lift of the above transcendental entire function has a wandering domain whose shape looks like a Siegel disk of a quadratic polynomial.

Improvement and Application for Environmental Conservation Value Assessment Map(ECVAM) of Nationwide Land in Korea

  • Lee, Moung-Jin;Jeon, Seong-Woo;Jo, Min-Jeong;Song, Won-Kyong;Kang, Byung-Jin
    • Korean Journal of Remote Sensing
    • /
    • v.23 no.5
    • /
    • pp.335-346
    • /
    • 2007
  • This study is aiming at improving the Environmental Conservation Value Assessment Map(ECVAM) of National Land in Korea. The ECVAM items are composed of legal and environmental/ecological assessments. A popular method applied to ECVAM is an overlay environmental/ecological assessment items. The purpose of this study is to offer complementary items of the ECVAM by examining assessment items. In this study we assessed the ECVAM by five methods. Method 1 is Grade 1 areas of each administrative district; Method 2 is comparing overlapped areas of each assessment items Grade 1, 2 and permission of each assessment items duplication; Method 3 is Grade 1, 2 areas by only singular assessment items; Method 4 is Grade 1 areas only of Method 2; and Method 5 is Grade 2 areas only of Method 2. Method 1 showed Seoul and other metropolitan cities revealed a large proportion of Grade I regions by the legal assessment items. Gang won-Do, showed a large proportion of Grade I regions by the environmental/ecological assessment item. Method 2 showed 93.4% of diameter Grade II(standard for stability); forest diameter item accounted for 99.9% by Method 3, Method 4 showed 95.7% of forest diameter, and forest density accounted for 66.4% by Method 5. This study contributes to reduce the complexity in the process of manufacturing ECVAM of National Land, and to raise the flexibility in the process of managing and updating this map.

A Study on the Comparision Between Map Projection Methods of TM and Polyhedric (TM 및 다면체 투영법(投影法)의 비교고찰(比較考察))

  • Park, Wei-Keun
    • Journal of Korean Society for Geospatial Information Science
    • /
    • v.6 no.2 s.12
    • /
    • pp.119-132
    • /
    • 1998
  • Much information on the terrain and the space has been depicted to maps of various form according to the map scale and the application. In Korea the base map system was made by only one projection method(Transvers Mercator projection). This is the reason to study this paper, because I think singular map projection method can't satisfy the various map scales and application. In this paper Meridian Are Length, Parallel Are Length of ellipsoid and the area of ellipsoidal surface-the length, the width and area of the map scale 1/5,000, 1/25,000, 1/5,000, 1/1,000, will be calculated and transformed to the plane length and area by Transvers Mercartor projection and Polyhedrical projection. The projection distortion which came into existence on this occasion was compared and analyzed by this Paper. And Properties on TM and Polyhedrical projection were understood. Lastly this paper intended to present suitable map projections according to the map scales and the purpose of use.

  • PDF

COMPARISON OF TWO DESINGULARIZATIONS OF THE MODULI SPACE OF ELLIPTIC STABLE MAPS

  • Lho, Hyenho
    • Journal of the Korean Mathematical Society
    • /
    • v.58 no.2
    • /
    • pp.501-523
    • /
    • 2021
  • We study the geometry of the moduli space of elliptic stable maps to projective space. The main component of the moduli space of elliptic stable maps is singular. There are two different ways to desingularize this space. One is Vakil-Zinger's desingularization and the other is via the moduli space of logarithmic stable maps. Our main result is a proof of the direct geometric relationship between these two spaces. For degree less than or equal to 3, we prove that the moduli space of logarithmic stable maps can be obtained by blowing up Vakil-Zinger's desingularization.

Efficient weight initialization method in multi-layer perceptrons

  • Han, Jaemin;Sung, Shijoong;Hyun, Changho
    • Proceedings of the Korean Operations and Management Science Society Conference
    • /
    • 1995.09a
    • /
    • pp.325-333
    • /
    • 1995
  • Back-propagation is the most widely used algorithm for supervised learning in multi-layer feed-forward networks. However, back-propagation is very slow in convergence. In this paper, a new weight initialization method, called rough map initialization, in multi-layer perceptrons is proposed. To overcome the long convergence time, possibly due to the random initialization of the weights of the existing multi-layer perceptrons, the rough map initialization method initialize weights by utilizing relationship of input-output features with singular value decomposition technique. The results of this initialization procedure are compared to random initialization procedure in encoder problems and xor problems.

  • PDF

Improvement for Environmental Conservation Value Assessment Map (ECVAM) of National Land in Korea

  • Lee, Moung-Jin;Jeon, Seong-Woo;Won, Joong-Sun;Song, Won-Kyong;Kang, Byung-Jin
    • Proceedings of the KSRS Conference
    • /
    • 2007.10a
    • /
    • pp.456-459
    • /
    • 2007
  • This study was performed for improving the Environmental Conservation Value Assessment Map (ECVAM) of National Land in Korea. The ECVAM items are composed of legal assessment and environmental/ecological assessment. An assessment method applied to ECVAM is basically an overlay method for environmental/ecological assessment items. The purpose of this study is to offer complement items of the ECVAM by examining assessment items. For this, our study was preceded as follows; In this study we assessed the ECVAM by 4 kinds of method. Method I is Comparing overlapping areas of each assessment items Grade 1, 2 and Permission of each assessment items'duplication, Method 2 is Grade 1, 2 areas by only singular assessment items, Method 3 is Only Grade 1 areas of Method 2 and Method 4 is Only Grade 2 areas of Method 2. As results, Method1 showed 93.4% of diameter Grade II(standard for stability), forest diameter item was accounted for 99.9% by Method 2, Method 3 showed 95.7% of forest diameter and forest density was accounted for 66.4% by Method 4. From now on, this study will contribute to reduce the complexity in the process of manufacturing ECVAM of National Land, and to raise the pliability in the process of managing and updating this map.

  • PDF

Core Point Detection Using Labeling Method in Fingerprint (레이블링 방법을 이용한 지문 영상의 기준점 검출)

  • 송영철;박철현;박길흠
    • The Journal of Korean Institute of Communications and Information Sciences
    • /
    • v.28 no.9C
    • /
    • pp.860-867
    • /
    • 2003
  • In this paper, an efficient core point detection method using orientation pattern labeling is proposed in fingerprint image. The core point, which is one of the singular points in fingerprint image, is used as the reference point in the most fingerprint recognizing system. Therefore, the detection of the core point is the most essential step of the fingerprint recognizing system, it can affect in the whole system performance. The proposed method could detect the position of the core point by applying the labeling method for the directional pattern which is come from the distribution of the ridges in fingerprint image and applying detailed algorithms for the decision of the core point's position. The simulation result of proposed method is better than the result of Poincare index method and the sine map method in executing time and detecting rate. Especially, the Poincare index method can't detect the core point in the detection of the arch type and the sine map method takes too much times for executing. But the proposed method can overcome these problems.

Surface Wind Regionalization Based on Similarity of Time-series Wind Vectors

  • Kim, Jinsol;Kim, Hyun-Goo;Park, Hyeong-Dong
    • Asian Journal of Atmospheric Environment
    • /
    • v.10 no.2
    • /
    • pp.80-89
    • /
    • 2016
  • In the complex terrain where local wind systems are formed, accurate understanding of regional wind variability is required for wind resource assessment. In this paper, cluster analysis based on the similarity of time-series wind vector was applied to classify wind regions with similar wind characteristics and the meteorological validity of regionalization method was evaluated. Wind regions in Jeju Island and Busan were classified using the wind resource map of Korea created by a mesoscale numerical weather prediction modeling. The evaluation was performed by comparing wind speed, wind direction, and wind variability of each wind region. Wind characteristics, such as mean wind speed and prevailing wind direction, in the same wind region were similar and wind characteristics in different wind regions were meteor-statistically distinct. It was able to identify a singular wind region at the top area of Mt. Halla using the inconsistency of wind direction variability. Furthermore, it was found that the regionalization results correspond with the topographic features of Jeju Island and Busan, showing the validity.

Multi-wavelength view of SPT-CL J2106-5844: A massive galaxy cluster merger at z~1.13

  • Kim, HyeongHan;Di Mascolo, Luca;Mroczkowski, Tony;Perrott, Yvette;Rudnick, Lawrence;Jee, M. James;Churazov, Eugene;Collier, Jordan D.;Diego, Jose M.;Hopkins, Andrew M.;Kim, Jinhyub;Koribalski, Barbel S.;Marvil, Joshua D.;van der Burg, Remco;West, Jennifer L.
    • The Bulletin of The Korean Astronomical Society
    • /
    • v.46 no.1
    • /
    • pp.34.2-34.2
    • /
    • 2021
  • SPT-CL J2106-5844 is the most massive galaxy cluster at z>1 discovered to date. It has been known to be an isolated system with a singular, well-defined halo. However, recent studies provide lines of evidence for its merging state. We strengthen the case with the multi-wavelength observations from ALMA, ACA, ASKAP, ATCA, and Chandra. With the sensitive, high resolution ALMA+ACA observations, we reconstruct the ICM pressure map from the thermal SZ effect. It reveals two main gas components that are associated with the mass clumps inferred from the weak-lensing analysis. Furthermore, the X-ray hardness map supports the bimodal gas distribution. With these multi-wavelength data, we probe the merger phase in SPT-CL J2106-5844.

  • PDF

Improved Collaborative Information Filtering with User Clustering (사용자 클러스터링을 통한 개선된 협력적 정보여과)

  • 김학균;조성배
    • Proceedings of the Korean Information Science Society Conference
    • /
    • 1999.10b
    • /
    • pp.75-77
    • /
    • 1999
  • 정보추천 시스템은 사용자가 어떤 정보를 선호하는지를 식별함으로써 산재한 정보 중에서 적절한 정보만을 제공하는 것을 목표로 한다. 이러한 정보추천 시스템에서 사용되는 정보여과 기술에는 내용기반 여과와 협력적 여과가 있다. 기존의 협력적 정보여과 기술은 선호도를 적게 제시한 사용자에게 정보를 추천하기 어렵고, 동일한 상품 정보에 대해서 사용자의 평가가 없을 경우 사용자간의 유사성을 판단하기 어려운 단점이 있다. 본 논문은 SVD (Singular Value Decomposition)를 통해 사용자 프로파일을 정량화함으로써 사용자 선호도 행렬로부터 숨어있는 의미정보를 추출하여 동일한 정보에 대해 선호도를 평가해야 한다는 단점을 극복한다. 이때, 사용자 프로파일 벡터를 비감독 학습 알고리즘인 SOM (Self0Organizing Map)으로 클러스터링하여 사용자를 분류하고, 정보추천은 사용자 그룹간에서 이루어지며 Pearson correlation 알고리즘을 이용한다. 기존의 방법과 비교한 결과, 제안한 방법이 새로운 사용자에 대해서도 적절한 정보를 추천할 수 있음을 볼 수 있었다.

  • PDF