• Title/Summary/Keyword: R-Map

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THE ACTION OF IMAGE OF BRAIDING UNDER THE HARER MAP

  • Song Yong-Jin
    • Communications of the Korean Mathematical Society
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    • v.21 no.2
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    • pp.337-345
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    • 2006
  • John Harer conjectured that the canonical map from braid group to mapping class group induces zero homology homomorphism. To prove the conjecture it suffices to show that this map preserves the first Araki-Kudo-Dyer-Lashof operation. To get information on this homology operation we need to investigate the image of braiding under the Harer map. The main result of this paper is to give both algebraic and geometric interpretations of the image of braiding under the Harer map. For this we need to calculate long chains of consecutive actions of Dehn twists on the fundamental group of surface.

Axial map Implementation Using Linear Generalization of GIS data (GIS 도로 데이터의 일반화를 이용한 Axial map 구현 방법에 관한 연구)

  • Kwon, Soon-Il;Park, Soo-Hong;Joo, Yong-Jin
    • Spatial Information Research
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    • v.18 no.4
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    • pp.99-108
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    • 2010
  • Space Syntax methodology can be quantitatively calculated spatial cognitive analysis by number of turns_ In the existing GIS-based spatial information service provide 'physical distance' due to the shortest distance as a priority. but pedestrians tends to choose the path with concerned a lot of emphasis of safety, more vitality way from the crime at night, traffic accidents, and comfort on a road. Human's 'psychological distance' may reflect the spatial information services and provided path should be. In this study, using GIS Road Data implements the axial map with idea of the linear simplification principles. Traditional axial map of the Space Syntax get the assumption from the actual traffic values by comparing the results of correlation relationship. Through these methods, the actual relationship between traffic and test values have the correlation value($R^2$= 0.5387) 50% level and was able to get the results.

3D Clothes Modeling of Virtual Human for Metaverse (메타버스를 위한 가상 휴먼의 3차원 의상 모델링)

  • Kim, Hyun Woo;Kim, Dong Eon;Kim, Yujin;Park, In Kyu
    • Journal of Broadcast Engineering
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    • v.27 no.5
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    • pp.638-653
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    • 2022
  • In this paper, we propose the new method of creating 3D virtual-human reflecting the pattern of clothes worn by the person in the high-resolution whole body front image and the body shape data about the person. To get the pattern of clothes, we proceed Instance Segmentation and clothes parsing using Cascade Mask R-CNN. After, we use Pix2Pix to blur the boundaries and estimate the background color and can get UV-Map of 3D clothes mesh proceeding UV-Map base warping. Also, we get the body shape data using SMPL-X and deform the original clothes and body mesh. With UV-Map of clothes and deformed clothes and body mesh, user finally can see the animation of 3D virtual-human reflecting user's appearance by rendering with the state-of-the game engine, i.e. Unreal Engine.

A Study on the Research Plan for R&D Long-term Load-map Design in the Facility Disaster on response of the changing Disaster Environment (재난환경변화에 대응한 인적재난 R&D중장기 로드맵 수립 기획연구)

  • Lee, Tae Shik;Seok, Geum Cheol;An, Jae Woo;Song, Cheol Ho;Cheung, Chong Soo;Lee, Young Jae;Cho, Won Cheol
    • Journal of Korean Society of Disaster and Security
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    • v.7 no.1
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    • pp.35-42
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    • 2014
  • This research has been shown the Research Plan for R&D Long-term Load-map Design in the Facility Disaster on response of the changing Disaster Environment, Showing the Strategy for the extending investment method of the technical development and related on that the advanced nation's technical level gap is minimized in the same area, Designing for the business' high-level, long-term load-map and the core driving strategy of the safety technology development business in the facility disaster, RFP Documentation on the core driving Business and the detailed driving Issue. This research has been resulted the three lists, trend analysis and Vision of the Technology Research Development (R&D) of the Safety Technology Area in domestic and foreign, the Responding Technology Predict and the Extended Research Strategy of the Next Generation Safety Technology in the facility Disaster, long-mid Term Road-Map of the Safety Technology in the facility Disaster, finally the Action Issue's RFP of the Safety Technology in the facility Disaster.

PROPERTIES OF THE REIDEMEISTER NUMBERS ON TRANSFORMATION GROUPS

  • Ahn, Soo Youp;Chung, In Jae
    • Korean Journal of Mathematics
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    • v.7 no.2
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    • pp.151-158
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    • 1999
  • Let (X, G) be a transformation group and ${\sigma}(X,x_0,G)$ the fundamental group of (X, G). In this paper, we prove that the Reidemeister number $R(f_G)$ for an endomorphism $f_G:(X,G){\rightarrow}(X,G)$ is a homotopy invariant. In particular, when any self-map $f:X{\rightarrow}X$ is homotopic to the identity map, we give some calculation of the lower bound of $R(f_G)$. Finally, we discuss commutativity and product formula for the Reidemeister number $R(f_G)$.

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GLOBAL VORTICITY EXISTENCE OF A PERFECT INCOMPRESSIBLE FLUID IN B0∞,1(ℝ2)∩Lp(ℝ2)

  • Pak, Hee Chul;Kwon, Eun-Jung
    • Journal of the Chungcheong Mathematical Society
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    • v.23 no.2
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    • pp.271-277
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    • 2010
  • We prove the global (in time) vorticity existence for the 2-D Euler equations of a perfect incompressible fluid in $B^0_{{\infty},1}({\mathbb{R}}^2){\cap}L^p({\mathbb{R}}^2)$ with 1 < p < 2. Moreover, we prove that the particle trajectory map X(x, t) satisfies the following estimate: for some positive constant C $${\parallel}X^{\pm1}(\cdot,\;t)-id(\cdot){\parallel}_{B^1_{\infty,1}}{\leq}Ce^{e^{Ct}}$$, where id represents the identity map on ${\mathbb{R}}^2$.

Learning algorithms for big data logistic regression on RHIPE platform (RHIPE 플랫폼에서 빅데이터 로지스틱 회귀를 위한 학습 알고리즘)

  • Jung, Byung Ho;Lim, Dong Hoon
    • Journal of the Korean Data and Information Science Society
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    • v.27 no.4
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    • pp.911-923
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    • 2016
  • Machine learning becomes increasingly important in the big data era. Logistic regression is a type of classification in machine leaning, and has been widely used in various fields, including medicine, economics, marketing, and social sciences. Rhipe that integrates R and Hadoop environment, has not been discussed by many researchers owing to the difficulty of its installation and MapReduce implementation. In this paper, we present the MapReduce implementation of Gradient Descent algorithm and Newton-Raphson algorithm for logistic regression using Rhipe. The Newton-Raphson algorithm does not require a learning rate, while Gradient Descent algorithm needs to manually pick a learning rate. We choose the learning rate by performing the mixed procedure of grid search and binary search for processing big data efficiently. In the performance study, our Newton-Raphson algorithm outpeforms Gradient Descent algorithm in all the tested data.

BRAUER GROUP OVER A KRULL DOMAIN

  • Lee, Heisook
    • Bulletin of the Korean Mathematical Society
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    • v.26 no.2
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    • pp.135-137
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    • 1989
  • Let R be a Krull domain with field of fractions K. By Br(R) we denote the Brauer group of R. Studying the Kernel of the homomorphism Br(R).rarw.Br(K), Orzech defined Brauer groups Br(M) for different categories M of R-modules [4]. In this paper we show that an algebra A in Br(D) is a maximal order in A K and that the map Br(D).rarw. Br(K) is one to one. We note here few conventions. All rings are Krull domains and all modules will be unitary. By Z we donote the set of height one prime ideals of a Krull domain.

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R and T Wave Amplitude as a Parameter to Detect Coronary Artery Disease (관상동맥질환을 진단하기 위한 R파와 T파의 크기에 대한 연구)

  • Lim, Hyun-Kyoon;Yu, Kwon-Kyu;Kim, Jin-Mok;Kim, In-Seon;Kang, Chan-Seok;Park, Yong-Ki
    • Progress in Superconductivity
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    • v.10 no.1
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    • pp.6-11
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    • 2008
  • Multi-channel magnetocardiography (MCG) has been proposed to detect ischemic heart disease because its sensitivity is quite high comparing with other conventional diagnostic tools. Especially, current map and magnetic field map of MCG provide crucial information on whether myocardiac muscles maintain the normal conduction pathway. In addition, MCG parameters derived from repolarization are useful to detect coronary artery disease. Recently, there was a study reporting that R- and T- wave amplitude are highly correlated with ischemic heart disease. In this study, we studied R- and T-wave amplitude and their ratio as well as MCG parameters. MCG data from 20 young, 20 age-matched controls, and 20 myocardial infarction (MI) patients were analyzed. As a result, MCG parameters showed significant change in MI patients comparing to those of controls. R- and T-wave amplitude of MI patients showed a feature of severe ischemic heart disease even though it was difficult to find consistent values. Further study is needed to reveal the relations between small T-wave amplitude and coronary artery disease.

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