• Title/Summary/Keyword: Space Convergence

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CONVERGENCE THEOREMS OF MIXED TYPE IMPLICIT ITERATION FOR NONLINEAR MAPPINGS IN CONVEX METRIC SPACES

  • Kyung Soo, Kim
    • Nonlinear Functional Analysis and Applications
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    • v.27 no.4
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    • pp.903-920
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    • 2022
  • In this paper, we propose and study an implicit iteration process for a finite family of total asymptotically quasi-nonexpansive mappings and a finite family of asymptotically quasi-nonexpansive mappings in the intermediate sense in convex metric spaces and establish some strong convergence results. Also, we give some applications of our result in the setting of convex metric spaces. The results of this paper are generalizations, extensions and improvements of several corresponding results.

STRONG CONVERGENCE OF HYBRID PROJECTION METHODS FOR QUASI-ϕ-NONEXPANSIVE MAPPINGS

  • Kang, Shin Min;Rhee, Jungsoo;Kwun, Young Chel
    • Journal of the Chungcheong Mathematical Society
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    • v.23 no.4
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    • pp.801-812
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    • 2010
  • In this paper, we consider the convergence of the shrinking projection method for quasi-$\phi$-nonexpansive mappings. Strong convergence theorems are established in a uniformly smooth and strictly convex Banach space which enjoys the Kadec-Klee property.

CONVERGENCE OF MODIFIED VISCOSITY INEXACT MANN ITERATION FOR A FAMILY OF NONLINEAR MAPPINGS FOR VARIATIONAL INEQUALITY IN CAT(0) SPACES

  • Kyung Soo Kim
    • Nonlinear Functional Analysis and Applications
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    • v.28 no.4
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    • pp.1127-1143
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    • 2023
  • The purpose of this paper, we prove convergence theorems of the modified viscosity inexact Mann iteration process for a family of asymptotically quasi-nonexpansive type mappings in CAT(0) spaces. We also show that the limit of the modified viscosity inexact Mann iteration {xn} solves the solution of some variational inequality.

Verb Prediction for Korean Language Disorders in Augmentative Communicator using the Neural Network (신경망을 이용한 언어장애인용 문장발생장치의 동사예측)

  • Lee Eunsil;Min Hongki;Hong Seunghong
    • Journal of the Institute of Convergence Signal Processing
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    • v.1 no.1
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    • pp.32-41
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    • 2000
  • In this paper, we proposed a method which predict the verb by using the neural network in order to enhance communication rate in augmentative communication system for Korean language disorders. Each word is represented by an information vector according to syntax and semantics, and is positioned at the state space by being partitioned into various regions different from a dictionary-like lexicon. Conceptual similarity is realized through position in state space. When a symbol was pressed, we could find the word for the symbol at the position in the state space. In order to prevent verb prediction's redundancy according to input units, we predicted the verb after separating class using the neural network. In the result we can enhance $20\% communication rate in the restricted space

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A Study on the Analysis of Accuracy for Terrestrial Convergent Photos by Collinearity Condition (공선조건에 의한 지상수렴사진의 정확도해석에 관한 연구)

  • 강준묵;김충평;오원진;이진덕
    • Journal of the Korean Society of Surveying, Geodesy, Photogrammetry and Cartography
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    • v.3 no.2
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    • pp.39-47
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    • 1985
  • This study analyzes space resection and space intersection for terrestrial convergent photos taken on the straight line and the circular line by collinearity condition. The purpose is to investigate the properties of convergent case, and to suggest the optimum angle of convergence. Accuracies at convergent angles less than 20$^\circ$ are lower than those in normal photos, but by changing from 20$^\circ$to 90$^\circ$ the accuracy is improving with the highest at 90$^\circ$ convergence. Also, convergent photos on circular line is far higher than those on straight line in accuracies of results, therefore it is expected to apply this results effectively for precise analysis of various facilities.

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Parking Space Recognition for Autonomous Valet Parking Using Height and Salient-Line Probability Maps

  • Han, Seung-Jun;Choi, Jeongdan
    • ETRI Journal
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    • v.37 no.6
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    • pp.1220-1230
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    • 2015
  • An autonomous valet parking (AVP) system is designed to locate a vacant parking space and park the vehicle in which it resides on behalf of the driver, once the driver has left the vehicle. In addition, the AVP is able to direct the vehicle to a location desired by the driver when requested. In this paper, for an AVP system, we introduce technology to recognize a parking space using image sensors. The proposed technology is mainly divided into three parts. First, spatial analysis is carried out using a height map that is based on dense motion stereo. Second, modelling of road markings is conducted using a probability map with a new salient-line feature extractor. Finally, parking space recognition is based on a Bayesian classifier. The experimental results show an execution time of up to 10 ms and a recognition rate of over 99%. Also, the performance and properties of the proposed technology were evaluated with a variety of data. Our algorithms, which are part of the proposed technology, are expected to apply to various research areas regarding autonomous vehicles, such as map generation, road marking recognition, localization, and environment recognition.

Spaceborne Gravity Sensors for Continental Hydrology and Geodynamic Studies

  • Shum C. K.;Han Shin-Chan;Braun Alexander
    • Korean Journal of Remote Sensing
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    • v.21 no.1
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    • pp.51-57
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    • 2005
  • The currently operating NASA/GFZ Gravity Recovery and Climate Experiment (GRACE) mission is designed to measure small mass changes over a large spatial scale, including the mapping of continental water storage changes and other geophysical signals in the form of monthly temporal gravity field. The European Space Agency's Gravity field and steady state Ocean Circulation Explorer (GOCE) space gravity gradiometer (SGG) mission is anticipated to determine the mean Earth gravity field with an unprecedented geoid accuracy of several cm (rms) with wavelength of 130km or longer. In this paper, we present a summary of present GRACE studies for the recovery of hydrological signals in the Amazon basin using alternative processing and filtering techniques, and local inversion to enhance the temporal and spatial resolutions by two-folds or better. Simulation studies for the potential GRACE detection of slow deformations due to Nazca-South America plate convergence and glacial isostatic adjustment (GIA) signals show that these signals are at present difficult to detect without long-term data averaging and further improvement of GRACE measurement accuracy.

Study on the Beacon Signal Characteristic for Efficiency Analysis of Indoor Positioning (실내 위치 측위 효율성 분석을 위한 비콘 신호 특성 연구)

  • Hyun, Mi-Jin;Kim, Bong-Hyun
    • Journal of the Korea Convergence Society
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    • v.9 no.11
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    • pp.1-7
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    • 2018
  • Recently, the activity area in the indoor space has been widening. Various types of service technologies have been developed and applied user location, tracking, spatial pattern analysis and environmental analysis in indoor space. BLE-based beacon is used for the service technology in the indoor space. Therefore, in this paper, we collected and analyzed signals for indoor positioning based on beacon. For this purpose, a module was designed to analyze the efficiency of indoor location measurement using beacon. Experimental results show that the accuracy of the measured data at close range is improved. Also, it was analyzed that the more accurate the position data is extracted without the obstacle in the indoor space.

A Study on the Application of Thermal Insulation Composite Frame for Welding in Enclosed Space (밀폐 공간에서 용접작업을 위한 단열 복합재 프레임의 설계 적용 연구)

  • Lee, Jae-Youl;Jeong, Kwang-Woo;Hong, Sung-Ho;Shin, Kwang-Bok
    • Composites Research
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    • v.31 no.5
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    • pp.227-237
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    • 2018
  • In this paper, the design application for the lightweight and insulation of the manipulator of the mobile welding robot for the closed/narrow space is presented. A variety of robotic platforms have been developed for weld-worker using a welding robot outside a workpiece for welding work in a complex and narrow space such as a ship or an offshore plant. Normally, The development process of robots consists of machine development, electronic device development, control algorithm development and integration verification considering application environment and requirements. In order to develop the robustness of the welding robot, the lightweight design of the robot manipulator considering the environmental conditions was performed in the basic design of the robot platform. Also, The results of the robot selection and validation, analysis and testing for the insulation performance and cooling performance and the results of the research are shown.

On Deferred f-statistical Convergence

  • Gupta, Sandeep;Bhardwaj, Vinod K.
    • Kyungpook Mathematical Journal
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    • v.58 no.1
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    • pp.91-103
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    • 2018
  • In this paper, we generalize the concept of deferred density to that of deferred f-density, where f is an unbounded modulus and introduce a new non-matrix convergence method, namely deferred f-statistical convergence or $S^f_{p,q}$-convergence. Apart from studying the $K{\ddot{o}}the$-Toeplitz duals of $S^f_{p,q}$, the space of deferred f-statistically convergent sequences, a decomposition theorem is also established. We also introduce a notion of strongly deferred $Ces{\grave{a}}ro$ summable sequences defined by modulus f and investigate the relationship between deferred f-statistical convergence and strongly deferred $Ces{\grave{a}}ro$ summable sequences defined by f.