• 제목/요약/키워드: Space Convergence

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CONCERNING THE RADIUS OF CONVERGENCE OF NEWTON'S METHOD AND APPLICATIONS

  • Argyros, Ioannis K.
    • Journal of applied mathematics & informatics
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    • 제6권3호
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    • pp.685-696
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    • 1999
  • We present local and semilocal convergence results for New-ton's method in a Banach space setting. In particular using Lipschitz-type assumptions on the second Frechet-derivative we find results con-cerning the radius of convergence of Newton's method. Such results are useful in the context of predictor-corrector continuation procedures. Finally we provide numerical examples to show that our results can ap-ply where earlier ones using Lipschitz assumption on the first Frechet-derivative fail.

ON THE RADIUS OF CONVERGENCE OF SOME NEWTON-TYPE METHODS IN BANACH SPACES

  • Argyros, Ioannis K.;Hilout, Said
    • 한국수학교육학회지시리즈B:순수및응용수학
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    • 제18권3호
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    • pp.219-230
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    • 2011
  • We determine the radius of convergence for some Newton{type methods (NTM) for approximating a locally unique solution of an equation in a Banach space setting. A comparison is given between the radii of (NTM) and Newton's method (NM). Numerical examples further validating the theoretical results are also provided in this study.

COMMON FIXED POINT OF GENERALIZED ASYMPTOTIC POINTWISE (QUASI-) NONEXPANSIVE MAPPINGS IN HYPERBOLIC SPACES

  • Saleh, Khairul;Fukhar-ud-din, Hafiz
    • Korean Journal of Mathematics
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    • 제28권4호
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    • pp.915-929
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    • 2020
  • We prove a fixed point theorem for generalized asymptotic pointwise nonexpansive mapping in the setting of a hyperbolic space. A one-step iterative scheme approximating common fixed point of two generalized asymptotic pointwise (quasi-) nonexpansive mappings in this setting is provided. We obtain ∆-convergence and strong convergence theorems of the iterative scheme for two generalized asymptotic pointwise nonexpansive mappings in the same setting. Our results generalize and extend some related results in the literature.

A Study on Automatic Space Analysis for Plant Facilities Based on 3D Octree Argorithm by Using Laser Scanning Information

  • Kim, Donghyun;Kwon, Soonwook;Chung, Suwan;Ko, Hyunglyul
    • 국제학술발표논문집
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    • The 6th International Conference on Construction Engineering and Project Management
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    • pp.667-668
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    • 2015
  • While the plant projects grow bigger and global attention to the plant is increasing, efficient space arrangement is not working in plant project because of the complex structure in installing the equipment unlike the construction project. In addition to this, presently, problem in installation process caused by the disagreement between floor plan and real spot is rising. Therefore the target of this research is to solve the problems and reaction differences, caused by changing the space arrangement in installing the equipment of plant construction. And this research suggests the equipment arrangement method for construction and related processes. To solve the problem, 3D cloud point data of space and equipment is collected by 3D laser scanning and the space matching is operated. In processing the space matching, data is simplified by applying the octree algorithm. This research simplifies the 3D configuration data acquired by 3D scanner equipment through the octree algorithm, and by comparing this data, identifies the space for target equipment, and finally suggests the algorithm that makes the auto space arrangement of equipment possible in construction site and also suggests the process to actualize this algorithm.

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THE LACUNARY STRONG ZWEIER CONVERGENT SEQUENCE SPACES

  • Sengonul, Mehmet
    • 대한수학회논문집
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    • 제25권1호
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    • pp.51-57
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    • 2010
  • In this paper we introduce and study the lacunary strong Zweier sequence spaces $N_{\theta}^O[Z]$, $N_{\theta}[Z]$ consisting of all sequences x = $(x_k)$ such that (Zx) in the space $N_{\theta}$ and $N_{\theta}^O$ respectively, which is normed. Also, prove that $N_{\theta}^O[Z}$, $N_{\theta}[Z}$, are linearly isomorphic to the space $N_{\theta}^O$ and $N_{\theta}$, respectively. And we study some connections between lacunary strong Zweier sequence and lacunary statistical Zweier convergence sequence.

온풍난방기 성능 개선 연구 (I) - 송풍방식에 따른 송풍성능 비교 - (Improvement of Space Heater (I) - Comparison of Blowing Performance for Blowing Type -)

  • 권순홍;정성원;이승기
    • 한국산업융합학회 논문집
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    • 제3권3호
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    • pp.245-250
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    • 2000
  • This study was carried out to investigate blowing performance for blowing type in space heater. This paper present that power requirement, static pressure, total pressure and static pressure efficiency were increased in proportion to air flow rate. And in the Korean space heater, side ward blowing type was effected than downward blowing type.

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글로벌 위성 데이터 활용산업의 형성과정과 융합을 통한 신시장 창출 패러다임 연구 (A Study on the Formation of Global Satellite Data Services Industry and the Creation of New Markets through Convergence)

  • 이창한;송지훈
    • 한국산업융합학회 논문집
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    • 제26권3호
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    • pp.483-497
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    • 2023
  • This study aims to provide strategic recommendations for promoting the development of the global satellite data services industry by analyzing the startup landscape. Based on the analysis of startup data, such as number of startups, market segment, and funding amount, we examined the paradigm shift in the global satellite data services market, particularly its convergence with other market segments. To this end, we derived the cumulative funding-convergence dynamics matrix, which classifies the converging areas into four quadrants by considering the growth rate of converging segments and the cumulative funding amount. In this way, we can specify converging areas in the satellite data services market that bear potential importance for the creation of new markets. The findings of this study are expected to contribute to the advancement of the satellite data services industry and facilitate the exploration of new market opportunities. Furthermore, they can serve as a valuable reference for policy makers, industry stakeholders, government officials, and researchers involved in the satellite data services industry in capitalizing on the emerging space economy.

Design of Mobility System for Ground Model of Planetary Exploration Rover

  • Kim, Younkyu;Eom, Wesub;Lee, Joo-Hee;Sim, Eun-Sup
    • Journal of Astronomy and Space Sciences
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    • 제29권4호
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    • pp.413-422
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    • 2012
  • In recent years, a number of missions have been planned and conducted worldwide on the planets such as Mars, which involves the unmanned robotic exploration with the use of rover. The rover is an important system for unmanned planetary exploration, performing the locomotion and sample collection and analysis at the exploration target of the planetary surface designated by the operator. This study investigates the development of mobility system for the rover ground model necessary to the planetary surface exploration for the benefit of future planetary exploration mission in Korea. First, the requirements for the rover mobility system are summarized and a new mechanism is proposed for a stable performance on rough terrain which consists of the passive suspension system with 8 wheeled double 4-bar linkage (DFBL), followed by the performance evaluation for the mechanism of the mobility system based on the shape design and simulation. The proposed mobility system DFBL was compared with the Rocker-Bogie suspension system of US space agency National Aeronautics and Space Administration and 8 wheeled mobility system CRAB8 developed in Switzerland, using the simulation to demonstrate the superiority with respect to the stability of locomotion. On the basis of the simulation results, a general system configuration was proposed and designed for the rover manufacture.

스마트시티 공간의 변화 분석: 지구, 가로, 건물, 시설의 융합 변화 (An Analysis on the Change of Smart City Space: Convergence Change of District, Street, Building and Facility)

  • 한주형;이상호
    • 한국산학기술학회논문지
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    • 제19권5호
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    • pp.537-550
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    • 2018
  • 본 스마트시티의 개발초점은 점차 물리적 개발측면에서 공간적 개발측면으로 변화하고 있다. 공간적 개발의 주요적용 기술로는 환경기술(ET), 정보기술(ET), 그리고 환경기술과 정보기술이 융합된 환경 정보기술(ET+IT)이 있다. 그러나 스마트시티에 공간융합이 3가지의 기술들에 의해 변화 한다는 것은 아직까지 불투명하다. 따라서 본 연구는 스마트시티 공간(지구, 가로, 건물, 시설)의 융합 변화를 3가지 기술들을 통해 구체적으로 분석하는데 목적을 두고 있다. 주요연구 내용은 스마트시티에 융합된 환경기술, 정보기술, 환경 정보기술과 4개의 공간 사이의 융합 분포비율을 시기별(시기 1 : 1972~1999, 시기 2 : 2000~2009, 시기 3 : 2010~2017)로 파악하는 것이다. 그에 따라 연구결과는 다음과 같다. 첫째, 스마트시티 1기의 공간 적용개수와 융합 분포비율 합계는 지구(53개/43.0%)-건물(36개/29.1%)-가로(22개/17.9%)-시설(12개/10.0%) 순으로 높았다. 둘째, 스마트시티 2기의 공간 적용개수와 융합 분포비율 합계는 지구(223개/32.4%)-건물(197개/28.6%)-가로(195개/28.3%)-시설(74개/14.8%) 순으로 높았다. 셋째, 3기에는 4개의 공간 위계 중, 지구(467개/33%)가 가장 높았다. 그러나 1기, 2기와 다른 점은 가로(384개/27.4%)가 건물(361개/25.8%)보다 높았으며, 그 뒤로 시설(188개/13.4%)의 융합되고 있다. 넷째, 스마트시티는 1기와 2기 모두 적용개수와 융합비율에서 지구-건물-가로-시설 순으로 높은 결과 값이 나왔으나, 개수평균에서는 건물-가로-지구-시설 순으로 높았다. 3기에는 적용개수와 융합비율이 지구-가로-건물-시설 순으로 높았으며, 개수평균은 1,2기와 동일하였다. 결과적으로 스마트시티 공간(지구, 가로, 건물, 시설)은 초창기에 도시의 거시적 공간(항만, 공원, 녹지, 유원지, 공공공지, 수도전기, 열 공급시설, 하천, 궤도, 운하)의 개발을 통해 변화 되었다. 이후 지구 공간중심 개발과 스마트시티를 구축하는 중요한 건물(내부, 외부, 사이)공간에 다양한 디바이스/기술이 융합되어 시민유입을 목표로 변화하게 되었다. 건물공간은 계속해서 진화하고 있으며, 향후 스마트시티 공간은 완료된 건물과 건물을 연결하는 가로 공간으로 활성화 될 것이라 예상된다.

CONVERGENCE OF REGULARIZED SEMIGROUPS

  • Lee, Young S.
    • Korean Journal of Mathematics
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    • 제8권2호
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    • pp.139-146
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    • 2000
  • In this paper, we discuss convergence theorem for contraction C-regularized semigroups. We establish the convergence of the sequence of generators of contraction regularized semigroups in some sense implies the convergence of the sequence of the corresponding contraction regularized semigroups. Under the assumption that R(C) is dense, we show the convergence of generators is implied by the convergence of C-resolvents of generators.

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