• Title/Summary/Keyword: k-continuity

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CONTINUITY OF HOMOMORPHISMS AND DERIVATIONS ON BANACH ALGEBRAS

  • Park, Sung-Wook
    • Bulletin of the Korean Mathematical Society
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    • v.30 no.1
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    • pp.109-115
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    • 1993
  • In 1940 Eidelheit showed that every homomorphism of a Banach algebra onto the Banach algebra B(X) of all bounded linear operators on a Banach space X is continuous. At about the same time, Gelfand proved that every homomorphism of a commutative Banach algebra into a commutative semi-simple Banach algebra is continuous. In [7] Johnson proved that every homomorphism of a Banach algebra onto non-commutative semi-simple Banach algebra is continuous, and this is still the most important result of this type. In this paper we are concerned with continuity of derivations on commutative Banach algebras and of homomorphisms into commutative Banach algebras. Throughout this paper we suppose that A is a commutative Banach algebra. R will denote the redical of A.

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ON COMMON AND SEQUENTIAL FIXED POINTS VIA ASYMPTOTIC REGULARITY

  • Bisht, Ravindra Kishor;Panja, Sayantan;Roy, Kushal;Saha, Mantu
    • Communications of the Korean Mathematical Society
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    • v.37 no.1
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    • pp.163-176
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    • 2022
  • In this paper, we introduce some new classes of generalized mappings and prove some common fixed point theorems for a pair of asymptotically regular mappings. Our results extend and improve various well-known results due to Kannan, Reich, Wong, Hardy and Rogers, Ćirić, Jungck, Górnicki and many others. In addition to it, a sequential fixed point for a mapping which is the point-wise limit of a sequence of functions satisfying Ćirić-Proinov-Górnicki type mapping has been proved. Supporting examples have been given in strengthening hypotheses of our established theorems.

The Design of Framework for Resource Management in B3G Heterogeneous Access Networks (B3G 이종 액세스 망에서의 자원관리 프레임워크 연구)

  • Lee, Jong-Chan;Lee, Gi-Sung
    • Journal of the Korea Academia-Industrial cooperation Society
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    • v.13 no.11
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    • pp.5458-5464
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    • 2012
  • In LTE-Advanced that different networks coexist, it is considered that it is actually difficult to provide service continuity with a procedural and static control method applied to the existing voice service. This research suggests a resource management framework to support the service continuity effectively based on QoS support. In other words, as context information of mobile terminal and base station changes, set-up of related functions such as ISHO, cell selection, source allocation, load control, and QoS mapping is adapted; each function fits into the change, exchanges the process of reorganization, and interacts; these actions go toward to satisfy service continuity. For this aim, the sequence diagram between the function modules for supporting four kind of ISHO is described and then a scenario for ISHO is considered.

A Survey on Middle School Students' and Biology Teachers' Cognition of Biological Concepts in the Unit 'The Continuity of Life' (중학교 과학 3 'II. 생명의 연속성' 단원의 개념에 대한 교사와 학생의 인식 조사)

  • Min, Hyo-Jeong;Chung, Young-Lan
    • Journal of The Korean Association For Science Education
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    • v.17 no.1
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    • pp.21-29
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    • 1997
  • Many middle school students have difficulty in understanding biological concepts because too many concepts are presented in the textbook compared to limited school hours. So, it is necessary to select concepts which are indispensable. The purpose of this study is to select key concepts in the unit 'The Continuity of Life' by surveying students' and teachers' cognition on the concepts. In this study, 78 concepts were extracted from 'Science 3', unit II 'The Continuity of Life'. To survey how students and teachers think the concepts, Likert type questionnaires were made. 300 third grade middle school students and 34 biology teachers were selected by random sampling and the questionnaires were applied. The following results were obtained:1. Students thought 59 concepts out of 78 were important and the mean score of important level of the concepts was 3.60. Students thought 26 concepts out of 78 were difficult and the mean score of diffculty level'of the concepts was 3.26. The more they think the concepts important, the more they think them difficult (r=0.7462, p<0.001). 2. Teachers thought 55 concepts out of 78 were important and the mean score of important level of the concepts was 3.82. Teachers thought 33 concepts out of 78 were difficult and the mean score of diffculty level of the concepts was 3.31. The more they think the concepts important, the more they think them difficult (r=0.6138, p<0.001). 3. The selected concepts were considered more important by teachers than by students(t=2.0150, p<0.05). However, there was no significant difference in evaluating the difficulty level of the concepts(t=0.7327, p>0.05). 4. It was found that students have difficulty in understanding concepts when they are presented in the textbook to require formal preparation than concrete preperation(t=2.6612, p<0.05).

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Supporting Service Continuity in OFDMA Systems (OFDMA 시스템에서 서비스 연속성 지원 방안)

  • Lee, Jong-Chan;Park, Sang-Joon
    • Journal of the Korea Academia-Industrial cooperation Society
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    • v.14 no.2
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    • pp.850-857
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    • 2013
  • The objective of this paper is to provide service continuity based on an efficient subchannel allocation in OFDMA systems. The resource management for handover are necessary to maintain the QoS requirements of different multimedia applications because the service continuity may be defected by some delay and information loss. Therefore we propose two subchannel management schemes applied to OFDMA systems. Firstly, a superposition allocation of interference subchannels is achieved by modifying a frequency reuse scheme, using co-subchannel interference principle. Secondly for handover applications, we suggest a novel subchannel reservation scheme to adjust the number of allocated channels, depending on the different characteristics and diverse quality of mobile multimedia applications. Simulation results show that the total throughput for the proposed method is increased up to 20% at average and peak arrivals and the handover failure rate is decreased to about 25%, as compared to the conventional method.

Resource Allocation to Support QoE in Hierarchical Macrocell-Femtocell Networks (계층화된 매크로-펨토셀 망에서 QoE를 지원하기 위한 자원할당 방법)

  • Lee, Gi-Sung;Lee, Jong-Chan
    • Journal of the Korea Academia-Industrial cooperation Society
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    • v.17 no.12
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    • pp.708-715
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    • 2016
  • Quality of experience (QoE) for multimedia services in macro-femtocell networks is one of the key issues for 5G mobile and wireless communications. A service management structure needs to guarantee the QoE for mobile users based on end-to-end negotiation to support service continuity. Resource management is necessary to maintain the QoE requirements of different multimedia applications, because service continuity may be impeded by delays. This paper proposes four types of resource management scheme to support consistent QoE for different multimedia services. For this purpose, a QoE structure is suggested, and a resource allocation scheme is proposed by utilizing a fixed amount of radio resources reserved for dedicated use to support QoE. Various multimedia services with different requirements (such as voice, image, and data) can be serviced simultaneously, because QoE can be provided under our proposed scheme. Simulation results show that our scheme provides better performance than a conventional scheme with respect to outage probability and total data throughput.

Relationship between Juvenile Delinquency, Sensation Seeking, and Impulsivity: Focusing on Delinquency-Onset Type (청소년 비행과 감각추구성, 충동성 간의 관련성: 비행 시발 시기를 중심으로)

  • Yoon, Eon Jung;Kim, Kyong Yeon
    • Human Ecology Research
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    • v.52 no.6
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    • pp.639-649
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    • 2014
  • The main purpose of this study was to find the relationship between the delinquency-onset time in the source and the continuity of delinquency. In order to achieve this objective, we divided 350 first-year high school students into three groups early-onset type, late-onset type, and non-delinquent adolescents on the basis of the delinquency onset. The results of this study were as follow: (1) for the boys, the early-onset type shows a higher continuity of delinquency than both the late-onset type and the general adolescents. On the other hand, for the girls, the early-onset type shows a higher continuity of delinquency than the late-onset type, but there was no difference in the persistence duration between the late-onset type and the non-delinquent adolescents. (2) For the boys, the examination reveals that the early-onset type has a higher degree of sensation seeking and impulsivity than the general adolescents. In addition, the early-onset type shows a higher degree of sensation seeking than the late-onset type, whereas the two show no difference in impulsivity. For the girls, sensation seeking did not show any difference depending on the delinquency onset. However, more impulsivity appeared in the early-onset type than in the late-onset type or the non-delinquent adolescents. (3) The relative priorities of variables determining the group to which the students belong on the basis of the delinquency onset are in the order of sensation seeking and juvenile impulsivity. Therefore, this study, suggests that the early-onset type requires a different kind of intervention than the late-onset type.

Isogeometric Analysis for Two-dimensional Multipatch Model (2차원 멀티패치 모델의 아이소-지오메트릭 해석)

  • Kim, Min-Geun;Koo, Bonyong
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.30 no.6
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    • pp.515-522
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    • 2017
  • In this paper, an isogeometric analysis for multipatch problem is investigated, in which two or more geometries are connected at the interface in a conforming or non-conforming conditions. To express higher continuity at the patch interface, two approaches such as Nitsche based method and master-slave method are formulated for the linear elasticity problem and discretized using the isogeometric approach using NURBS basis functions. A short comparison between two approaches in formulations reveals the pros and cons of them with the applicability in the isogeometric multipatch problem. In addition, a NURBS based stress recovery is adopted to express a better stress continuity through the post-processing. Numerical examples indicate the effectiveness of Nitsche method in the non-conforming patch, following the exact solution well. For the stress concentration problem with the conforming patch, introduced two methodologies show comparative results, meanwhile the NURBS based stress recovery presents an improved smooth stress contour in the whole domain including the patch interface.

Robust Method of Video Contrast Enhancement for Sudden Illumination Changes (급격한 조명 변화에 강건한 동영상 대조비 개선 방법)

  • Park, Jin Wook;Moon, Young Shik
    • Journal of the Institute of Electronics and Information Engineers
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    • v.52 no.11
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    • pp.55-65
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    • 2015
  • Contrast enhancement methods for a single image applied to videos may cause flickering artifacts because these methods do not consider continuity of videos. On the other hands, methods considering the continuity of videos can reduce flickering artifacts but it may cause unnecessary fade-in/out artifacts when the intensity of videos changes abruptly. In this paper, we propose a robust method of video contrast enhancement for sudden illumination changes. The proposed method enhances each frame by Fast Gray-Level Grouping(FGLG) and considers the continuity of videos by an exponential smoothing filter. The proposed method calculates the smoothing factor of an exponential smoothing filter using a sigmoid function and applies to each frame to reduce unnecessary fade-in/out effects. In the experiment, 6 measurements are used for the performance analysis of the proposed method and traditional methods. Through the experiment. it has been shown that the proposed method demonstrates the best quantitative performance of MSSIM and Flickering score and show the adaptive enhancement under sudden illumination change through the visual quality comparison.

Flexural & Fatigue Evaluation of Link Slab for Continuous Girder-Type Precast Modular Bridges (거더형식 프리캐스트 모듈러교량 연속화 지점부에 적용되는 연결슬래브의 휨성능 및 피로성능 평가)

  • Joo, Bong-Chul;Song, Jae-Joon;Lee, Sang-Yoon
    • Journal of the Korea Concrete Institute
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    • v.25 no.5
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    • pp.517-528
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    • 2013
  • The modular technology has been already applied in automotive industry, plant and shipbuilding industry. Recently, the modular technology was applied in bridge construction. The modular bridge is different from the existing precast bridges in terms of standardized design that the detailed design of members is omitted by using the standard modules; the design of the modular bridge is completed by only assembling the standard modules without design in member level. The girder-type precast modular bridge has been developed as a simply supported bridge. The girder-type precast modular bridge could be applied to the multi-span bridges through the continuity method. The continuity of the girder-type precast modular bridge is achieved by using the link slab which is easy to construction and appropriate to the rapid construction. The link slabs have been used as the type of reinforced concrete structure in US from the 1950's. In 2000's, the link slab using the engineered cementitious concrete (ECC link slab) has been developed. In this study, the RC type link slab which is more reproducible and economic relative to the ECC link slab was used for the continuity of the girder-type precast modular bridges, and the construction detail of RC type link slab was modified. In addition, the modified iterative design method of RC type link slab was proposed in this study. To verify the proposed design method, the flexural tests were conducted using the RC type link slab specimens. Also, the fatigue test using the mock-up specimen was conducted with cyclic loading condition up to two million cycles.