• Title/Summary/Keyword: SE-connection

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THE CURVATURE TENSORS IN THE EINSTEIN'S $^*g$-UNIFIED FIELD THEORY II. THE CONTRACTED SE-CURVATURE TENSORS OF $^*g-SEX_n$

  • Chung, Kyung-Tae;Chung, Phil-Ung;Hwang, In-Ho
    • Bulletin of the Korean Mathematical Society
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    • v.35 no.4
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    • pp.641-652
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    • 1998
  • Chung and et al. ([2].1991) introduced a new concept of a manifold, denoted by $^{\ast}g-SEX_n$, in Einstein's n-dimensional $^{\ast}g$-unified field theory. The manifold $^{\ast}g-SEX_n$ is a generalized n-dimensional Riemannian manifold on which the differential geometric structure is imposed by the unified field tensor $^{\ast}g^{\lambda \nu}$ through the SE-connection which is both Einstein and semi-symmetric. In this paper, they proved a necessary and sufficient condition for the unique existence of SE-connection and sufficient condition for the unique existence of SE-connection and presented a beautiful and surveyable tensorial representation of the SE-connection in terms of the tensor $^{\ast}g^{\lambda \nu}$. Recently, Chung and et al.([3],1998) obtained a concise tensorial representation of SE-curvature tensor defined by the SE-connection of $^{\ast}g-SEX_n$ and proved deveral identities involving it. This paper is a direct continuations of [3]. In this paper we derive surveyable tensorial representations of constracted curvature tensors of $^{\ast}g-SEX_n$ and prove several generalized identities involving them. In particular, the first variation of the generalized Bianchi's identity in $^{\ast}g-SEX_n$, proved in theorem (2.10a), has a great deal of useful physical applications.

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THE CURVATURE TENSORS IN THE EINSTEIN′S *g- UNIFIED FIELD THEORY I. THE SE-CURVATURE TENSOR OF *g-SE $X_{n}$

  • Chung, Kyung-Tae;Chung, Phil-Ung;Hwang, In-Ho
    • Journal of the Korean Mathematical Society
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    • v.35 no.4
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    • pp.1045-1060
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    • 1998
  • Recently, Chung and et al. ([11], 1991c) introduced a new concept of a manifold, denoted by *g-SE $X_{n}$ , in Einstein's n-dimensional *g-unified field theory. The manifold *g-SE $X_{n}$ is a generalized n-dimensional Riemannian manifold on which the differential geometric structure is imposed by the unified field tensor * $g^{λν}$ through the SE-connection which is both Einstein and semi-symmetric. In this paper, they proved a necessary and sufficient condition for the unique existence of SE-connection and presented a beautiful and surveyable tensorial representation of the SE-connection in terms of the tensor * $g^{λν}$. This paper is the first part of the following series of two papers: I. The SE-curvature tensor of *g-SE $X_{n}$ II. The contracted SE-curvature tensors of *g-SE $X_{n}$ In the present paper we investigate the properties of SE-curvature tensor of *g-SE $X_{n}$ , with main emphasis on the derivation of several useful generalized identities involving it. In our subsequent paper, we are concerned with contracted curvature tensors of *g-SE $X_{n}$ and several generalized identities involving them. In particular, we prove the first variation of the generalized Bianchi's identity in *g-SE $X_{n}$ , which has a great deal of useful physical applications.tions.

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Database Connection Pool Architecture for User Interconnections Access (동시접속 사용자 접근을 고려한 데이터베이스 커넥션 풀 아키텍처)

  • Kim, Young-Chan;Kim, Tae-Gan;Lee, Se-Hoon;Rim, Kee-Wook;Lee, Jung-Hyun
    • The Journal of the Korea Contents Association
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    • v.9 no.1
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    • pp.89-97
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    • 2009
  • The use of database system in application increases day by day. This brought out the DBMS interconnection access problem with rapid increase of the user. To solve these database connection problem, database connection pool has been presented. However, there is much to be desired on user's interconnection access. To improve previous connection pool architecture, we have designed the sub connection pool besides main connection pool in this paper. We defined connection pool broker to manage both main and sub connection pool connection. When main connection pool reached its limitation, connection pool broker transfers a connection from a main connection pool to a sub connection pool. When the interconnection access user increased rapidly, we have proved that the suggested sub pool architecture is more effective on response time by comparing it with other existing DBMS connection pool architectures using simulation.

Database connection pool architecture for interconnections simplicity access (동시사용자 접근이 용이한 데이터베이스 커넥션 풀 아키텍처)

  • Kim, Young-Chan;Lee, Se-Hoon
    • Proceedings of the Korean Society of Computer Information Conference
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    • 2008.06a
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    • pp.125-130
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    • 2008
  • 어플리케이션의 데이터베이스 시스템 사용이 증가하면서, 사용자 급증에 따른 데이터베이스 시스템에 동시접속 하는 커넥션 처리 방법에 있어 중요성이 부각되고 있다. 이러한 데이터베이스의 커넥션을 효과적으로 처리하기 위해 데이터베이스 커넥션 풀이 도입되었으나, 동시접속이 증가하는 형태에 따른 커넥션 처리는 미비한 실정이다. 이 논문에서는 기존의 커넥션 아키텍처를 개선하여 주 커넥션 풀과 보조 커넥션 풀, 두 커넥션 풀의 연결을 할당하기 위한 커넥션 브로커 관계에 있어 새로운 아키텍처를 정의하였고, 실험을 통하여 기존 데이터베이스 커넥션 풀 구조와 비교해서 100% 가량 성능이 향상된 결과를 제시하였다.

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Water Transportation and Stratification Modification in the Andong-Imha Linked Reservoirs System (안동호-임하호 연결에 따른 물 이동과 수온성층 변화)

  • Park, Hyeung-Seok;Chung, Se-Woong
    • Journal of Korean Society on Water Environment
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    • v.30 no.1
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    • pp.31-43
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    • 2014
  • Recently, Andong Reservoir and Imha Reservoir located in Nakdong River basin (Korea) are being connected by a tunnel (length 2km, diameter 5.5m) for a conjunctive use. The objectives of this study were to construct a two dimensional(2D) laterally-averaged model for two reservoirs, and examine the effects of connection on the water transportation and temperature stratification in the reservoirs. The 2D models for each reservoir were calibrated using field data obtained in 2006, and applied to the linked system for the year of 2002 when a severe flood intruded into Imha Reservoir during the typhoon Rusa. Simulation results showed that 364 million $m^3$ of water can be conveyed from Imha to Andong, while 291 million $m^3$ of water from Andong to Imha after connection. It resulted in 1.38 m increase of annual averaged water level in Andong Reservoir, whereas 3.75 m decrease in Imha Reservoir. The structures of thermal stratification in both reservoirs were influenced in line with the flow exchanges. In Andong Reservoir, the location of thermocline moved upward about 10 m compared to an independent operation. The results imply that the persistent turbidity issue of Imha Reservoir might be shifted to Andong Reservoir during a severe flood event after connection.