• Title/Summary/Keyword: continuous map

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NONLINEAR VARIATIONAL INEQUALITIES AND FIXED POINT THEOREMS

  • Park, Sehie;Kim, Ilhyung
    • Bulletin of the Korean Mathematical Society
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    • v.26 no.2
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    • pp.139-149
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    • 1989
  • pp.Hartman and G. Stampacchia [6] proved the following theorem in 1966: If f:X.rarw. $R^{n}$ is a continuous map on a compact convex subset X of $R^{n}$ , then there exists $x_{0}$ ..mem.X such that $x_{0}$ , $x_{0}$ -x>.geq.0 for all x.mem.X. This remarkable result has been investigated and generalized by F.E. Browder [1], [2], W. Takahashi [9], S. Park [8] and others. For example, Browder extended this theorem to a map f defined on a compact convex subser X of a topological vector space E into the dual space $E^{*}$; see [2, Theorem 2]. And Takahashi extended Browder's theorem to closed convex sets in topological vector space; see [9, Theorem 3]. In Section 2, we obtain some variational inequalities, especially, generalizations of Browder's and Takahashi's theorems. The generalization of Browder's is an earlier result of the first author [8]. In Section 3, using Theorem 1, we improve and extend some known fixed pint theorems. Theorems 4 and 8 improve Takahashi's results [9, Theorems 5 and 9], respectively. Theorem 4 extends the first author's fixed point theorem [8, Theorem 8] (Theorem 5 in this paper) which is a generalization of Browder [1, Theroem 1]. Theorem 8 extends Theorem 9 which is a generalization of Browder [2, Theorem 3]. Finally, in Section 4, we obtain variational inequalities for multivalued maps by using Theorem 1. We improve Takahashi's results [9, Theorems 21 and 22] which are generalization of Browder [2, Theorem 6] and the Kakutani fixed point theorem [7], respectively.ani fixed point theorem [7], respectively.

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Ground Subsidence Measurements of Noksan National Industrial Complex using C-band Multi-temporal SAR images (C-밴드 다중시기 SAR 위성 영상을 이용한 녹산국가산업단지 일대의 지반침하 관측)

  • Cho, Minji;Lee, Chang-Wook
    • Korean Journal of Remote Sensing
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    • v.30 no.2
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    • pp.161-172
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    • 2014
  • Established in the lower reaches of the Nakdong river in Busan, the Noksan national industrial complex is one of the deepest soft ground areas in Korea. In case of the costal landfill having deep soft ground, there is a significant residual settlement over a long period of time. In this study, there was observed ground subsidence occurred in the Noksan national industrial complex from September 2002 to April 2007 by applying DInSAR and SBAS time series method using RADARSAT-1 and Envisat SAR datasets. As a result, it was calculated that ground subsidence developed at the velocity of about maximum 10 cm/yr and mean 6 cm/yr at the eastern center, west, western center and southern area contiguous on the coastline of the study area during the period from September 2002 to April 2007. In addition, the RADARSAT-1 average displacement map has been compared with the total displacement map observed by accurate magnetic probe extensometer during the period from 2001 to 2002. Since the time series displacement has shown a linear trend mostly, we consider that continuous monitoring should be needed until the ground subsidence of the study area has been stabilized.

A Business Process Redesign Method within an ERP Framework (ERP 기반의 비즈니스 프로세스 재설계 방법)

  • Dong-Gill Jung
    • The Journal of Society for e-Business Studies
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    • v.7 no.1
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    • pp.87-106
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    • 2002
  • The behavioral and dynamic implications of an ERP implementation/installation are, to say the least, not well understood. Getting the switches set to enable the ERP software to go live is becoming straightforward. The really difficult part is understanding all of the dynamic interactions that accrue as a consequence. Dynamic causal and connectionist models are employed to facilitate an understanding of the dynamics and to enable control of the information-enhanced processes to take place. The connectionist model ran be analyzing (behind the scenes) the information accesses and transfers and coming If some conclusions about strong linkages that are getting established and what the behavioral implications of those new linkages and information accesses we. Ultimately, the connectionist model will come to an understanding of the dynamic, behavioral implications of the larger ERP implementation/installation per se. The underlying connectionist model will determine information transfers and workflow. Once a map of these two infrastructures is determined by the model, it becomes a relatively easy job for an analyst to suggest improvements in both. Connectionist models start with analog object structures and then use learning to produce mechanisms for managerial problem diagnoses. These mechanisms are neural models with multiple-layer structures that support continuous input/output. Based on earlier work performed and published by the author[10][11], a Connectionist ReasOning and LEarning System(CROLES) is developed that mimics the real-world reasoning infrastructure. Coupled with an explanation subsystem, this system can provide explanations as to why a particular reasoning structure behaved the way it did. Such a system operates in the backgmund, observing what is happening as every information access, every information response coming from each and every intelligent node (whether natural or artificial) operating within the ERP infrastructure is recorded and encoded. The CROLES is also able to transfer all workflows and map these onto the decision-making nodes of the organization.

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Geothermal Research and Development in Korea (한국의 지열 연구와 개발)

  • Song, Yoon-Ho;Kim, Hyoung-Chan;Lee, Sang-Kyu
    • Economic and Environmental Geology
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    • v.39 no.4 s.179
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    • pp.485-494
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    • 2006
  • This paper summarizes the history of geothermal research in Korea since 1920s and also describes the present status of research on heat flow, origin of thermal waters and geothermal exploitation and utilization. Geothermal research in Korea has been mainly related with hot spring investigation until 1970s. 1t was not until 1980s before heat flow study became continuous by research institute and academia and first nation-scale geothermal gradient map and heat flow map were published in 1996. Also in 1990s, geochemical isotope analysis of Korean hot spring waters and measurements of heat production rate of some granite bodies were made. Attempts to develop and utilize the deep geothermal water has been tried from early 1990s but field scale exploitations for geothermal water was activated in 2000s. Considering recent increase of demands on both deep and shallow geothermal energy utilization, outlook on future goethermal research and development is encouraging.

Out-of-Plane Deformation Measurement of TPS in Vehicle Using ESPI (ESPI를 이용한 자동차 TPS 면외변형 계측)

  • Han, Sang-Kil;Ham, Hyo-Shick;Ham, Sang-Hyun;Lee, Jong-Hwang;Jung, Won-Wook;Lee, Chang-Hee;Lee, Sang-Bong;Choi, Sung-Eul
    • Journal of the Korean Society for Nondestructive Testing
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    • v.30 no.5
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    • pp.423-428
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    • 2010
  • In this paper, we analyzed the characteristics of thermal deformation of the TPS which is a core part of engine in vehicle by measuring out-of-plane deformation using ESP!. Inspection area of a test piece was minimized to 5 cm by 5 cm by using a high resolution CCD and a zoom lens. 4-step phase shifting method was used along with phase unwrapping algorithm to get a continuous phase map, configurations and deformations were displayed as 3D images. When heating the test pieces while maintaining the temperature at about $70^{\circ}C$, the out-of-plane deformations were measured. The results showed that a test piece with longer distance traveled tends to show larger thermal deformation, we could observes a convex shaped deformation on the surface. The inner defect sample, we could monitor discontinuous pattern phase map, and a concave shaped deformation on the surface.

Analysis of Map Projection Distortion for UTM-K (UTM-K 도입에 따른 지도 투영왜곡 분석)

  • Song, Yeong-Sun;Heo, Joon;Sohn, Hong-Gyoo;Kim, Woo-Sun
    • Journal of the Korean Society of Surveying, Geodesy, Photogrammetry and Cartography
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    • v.24 no.4
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    • pp.313-318
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    • 2006
  • Recently, the single plane coordinate system which has one origin is required to create and manage continuous geographic framework data of entire Korean peninsula. For this, UTM-K (Univercial Transverse Mercator-K) was established in 2005. In this paper, the level of distortion was analyzed with respect to the central meridian and scale factor of UTM-K. The latitude and longitude values of the center point of 1/25000 scale digital maps were used for calculating the scale factor which was created by projection and the scale factor was used for index that presents the degree of distortion. As a result, accumulated distortion of scale factor by UTM-K map projection showed about $23.744{\times}10^{-2}$. On the other hand, the minimum distortion which was about $5.1435{\times}10^{-2}$ occurred when central meridian is $127^{\circ}\;42'$ and scale factor of central meridian was 0.99994 respectively.

Water Quality Elements Extraction of Lake by the Landsat TM Images (Landsat TM 영상에 의한 호수의 수질인자 추출)

  • 최승필;양인태
    • Journal of the Korean Society of Surveying, Geodesy, Photogrammetry and Cartography
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    • v.16 no.2
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    • pp.225-233
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    • 1998
  • It is necessary to check the water quality of the lake on a continuous basis to determine the appearance of water pollution; however, it not only takes much time and expenses but it is considerably difficult to investigate the wide range of the area. If we use the remote sensing technique through the use of satellites, the status of water quality can be checked covering many wide areas simultaneously; and because the same area can be measured on a periodic basis, it is extremely effective in investigating the water quality. Furthermore, as some of the Landsat sensors carry characteristics which sense objects according to wave length, the distribution of water quality can be checked relatively accurately within a short period of time, while its image can be displayed in color. Hence, this research has attempted to extract water quality elements, such as transparency, water depth, and surface water temperature by utilizing the satellite data, and has prepared the water quality distribution image map of the Lake Hwajinpo by presenting the related empirical formula of the water quality elements. If the water quality distribution image map is prepared after extracting the water quality elements from the DN of the Landsat TM image and then carrying out TIN analysis through the use of GIS, relatively more accurate pattern can be learned covering a wide rage of area than the pattern presented based on the value obtained from actual observation.

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Detection of Artificial Caption using Temporal and Spatial Information in Video (시·공간 정보를 이용한 동영상의 인공 캡션 검출)

  • Joo, SungIl;Weon, SunHee;Choi, HyungIl
    • KIPS Transactions on Software and Data Engineering
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    • v.1 no.2
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    • pp.115-126
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    • 2012
  • The artificial captions appearing in videos include information that relates to the videos. In order to obtain the information carried by captions, many methods for caption extraction from videos have been studied. Most traditional methods of detecting caption region have used one frame. However video include not only spatial information but also temporal information. So we propose a method of detection caption region using temporal and spatial information. First, we make improved Text-Appearance-Map and detect continuous candidate regions through matching between candidate-regions. Second, we detect disappearing captions using disappearance test in candidate regions. In case of captions disappear, the caption regions are decided by a merging process which use temporal and spatial information. Final, we decide final caption regions through ANNs using edge direction histograms for verification. Our proposed method was experienced on many kinds of captions with a variety of sizes, shapes, positions and the experiment result was evaluated through Recall and Precision.

Hybrid Schema Matching (HSM): Schema Matching Algorithm for Integrating Geographic Information (Hybrid Schema Matching (HSM): 지리정보 통합을 위한 하이브리드 스키마 매칭 알고리즘)

  • Lee, Jiyoon;Lee, Sukhoon;Kim, Jangwon;Jeong, Dongwon;Baik, Doo-Kwon
    • KIPS Transactions on Software and Data Engineering
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    • v.2 no.3
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    • pp.173-186
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    • 2013
  • Web-based map services provide various geographic information that users want to get by continuous updating of data. Those map services provide different information for a geographic object respectively. It causes several problems, and most of all various information cannot be integrated and provided. To resolve the problem, this paper proposes a system which can integrate diverse geographic information and provide users rich geographic information. In this paper, a hybrid schema matching (HSM) algorithm is proposed and the algorithm is a mixture of the adapter-based semantic processing method, static semantic management-based approach, and dynamic semantic management-based approach. A comparative evaluation is described to show effectiveness of the proposed algorithm. The proposed algorithm in this paper improves the accuracy of schema matching because of registration and management of schemas of new semantic information. The proposal enables vocabulary-based schema matching using various schemas, and it thus also supports high usability. Finally, the proposed algorithm is cost-effective by providing the progressive extension of relationships between schema meanings.

Airway Narrowing Patterns during Obstructive Sleep Apnea : Airway CT and Multi-level Airway Pressure Monitoring (수면무호흡 중에 관찰된 다양한 기도협착의 형태:상기도 CT 및 상기도 압력 측정법)

  • Jeong, Seung-Cheol;Hong, Seung-Bong;Kyung, Seung-Hyun;Kim, Hoo-Won
    • Sleep Medicine and Psychophysiology
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    • v.7 no.1
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    • pp.18-26
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    • 2000
  • Objectives: To investigate the airway narrowing patterns by multi-level airway pressure(MAP) monitoring during sleep and to evaluate the value of CT scan taken during waking and sleep apneic periods to identify the level of airway narrowing(LAN) in patients with obstructive sleep apnea syndrome(OSAS). Methods: Eleven patients with OSAS underwent a night polysomnography with continuous MAP monitoring by 4-sensor(placed at nasopharynx, caudal-uvula, hypopharynx, esophagus) or 2-sensor(placed at caudal-uvula and esophagus) catheter. All patients had cine CT at five levels of high retro and alatal, low retropalatal, retroglossal, epiglottis and hypopharynx during awake and sleep periods. In each patient, LAN determined by CT scan($LAN_{CT}$) during sleep apnea was compared with LAN by MAP monitoring($LAN_{MAP}$). Results: MAP monitoring showed that four patients(36%) had a single pattern of LAN while the other seven patients(64%) showed two or more different LANs in different apneic episodes. Velopharynx was the most common level of frequently observed airway narrowing during sleep apnea(63.6%). However, a single pattern of airway narrowing was more frequent(72.7%) in airway CT during sleep apnea. Velopharynx was the most common narrowest level also in apneic CT(66%). In comparing $LAN_{CT}$ with $LAN_{MAP}$, the $LAN_{CT}$ of five patients(45.5%) were high-concordant, those of another five(45.5%) low-concordant, and that of one(9%) discordant with $LAN_{MAP}$. Conclusions: Cine CT scan during the awake state or sleep apnea may not reflect the LAN correctly in OSAS because most patients showed two or more different airway narrowing patterns during different episodes of sleep apnea in each patient.

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