• Journal of the Korean Mathematical Society
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• v.48 no.6
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• pp.1189-1201
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• 2011

Let R be a ring and M a right R-module, S = $End_R$(M). The module M is called almost principally small injective (or APS-injective for short) if, for any a ${\in}$ J(R), there exists an S-submodule $X_a$ of M such that $l_Mr_R$(a) = Ma $Ma{\bigoplus}X_a$ as left S-modules. If $R_R$ is a APS-injective module, then we call R a right APS-injective ring. We develop, in this paper, APS-injective rings as a generalization of PS-injective rings and AP-injective rings. Many examples of APS-injective rings are listed. We also extend some results on PS-injective rings and AP-injective rings to APS-injective rings.

• Bulletin of the Korean Mathematical Society
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• v.54 no.6
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• pp.1951-1967
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• 2017

We aim to introduce a further extension of a family of the extended Hurwitz-Lerch Zeta functions of two variables. We then systematically investigate several interesting properties of the extended function such as its integral representations which provide extensions of various earlier corresponding results of two and one variables, its summation formula, its Mellin-Barnes type contour integral representations, its computational representation and fractional derivative formulas. A multi-parameter extension of the extended Hurwitz-Lerch Zeta function of two variables is also introduced. Relevant connections of certain special cases of the main results presented here with some known identities are pointed out.

• Bulletin of the Korean Mathematical Society
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• v.39 no.2
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• pp.277-282
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• 2002

We Show that When ($M,\;\omega$) is a closed, simply connected, symplectic manifold for all $\gamma\;\in\;\pi_1(Ham(M),\;id)$ the following inequality holds: $\parallel\gamma\parallel\;{\geq}\;sup_{\={x}}\;|A(\={x})|,\;where\;\parallel\gamma\parallel$ is the coarse Hofer's norm, $\={x}$ run over all extensions to $D^2$ of an orbit $x(t)\;=\;{\varphi}_t(z)$ of a fixed point $z\;\in\;M,\;A(\={x})$ the symplectic action of $\={x}$, and the Hamiltonian diffeomorphisms {${\varphi}_t$} of M represent $\gamma$.

• Proceedings of the Korean Information Science Society Conference
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• 2000.10c
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• pp.529-531
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• 2000

인터넷이 급속도로 발전해 감에 따라 그 활용 분야가 확장되고 보편화되어 가고 있다. 그 중 최근 대두되고 있는 분야가 바로 통신 서비스 분야이다. 이를 위해 등장한 것이 VoIP인데 IP 위로 음성 데이터를 전송하는 것을 목적으로 한다. VoIP를 지원하기 위한 프로토콜로는 크게 ITU-T에서 제안한 H.323과 IETF에서 제안한 SIP를 들 수 있다. 인터넷을 이용한 통신 서비스를 위해서는 음성 데이터를 패킷 망에서 전송하는 기능 외에 터미널의 이동성을 지원하고, QoS를 보장할 수 있어야 한다. 이러한 측면에서 볼 때, 상기한 두 프로토콜은 음성 데이터를 패킷 망에서 전송하기 위한 다양한 기능과 서비스를 제공하고 있는 반면 호스트의 이동성 및 QoS 보장을 위한 방안에 있어서는 미비한 것이 현재 실정이다. 본 논문에서는 이러한 문제점의 해결을 위해, Mobile IP 위에서 동작하도록 확장된 자원 예약 프로토콜을 기반으로 하여 VoIP를 구현함으로써 호스트의 이동성과 QoS를 보장하도록 하는 방안에 대해 제안하고자 한다.

• Proceedings of the Korean Information Science Society Conference
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• 2004.10c
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• pp.136-138
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• 2004

IP망을 활용한 VPN(Virtual Private Network)에서의 QoS 보장 및 광대역 서비스 제공에 대한 해결 방안으로 차세대 광 인터넷을 통한 OVPN(Optical VPN) 기술이 제시되고 있다. 차세대 광 인터넷의 구현이 IP/GMPLS(Generalized Multi-Protocol Label Switching) over DWDM(Dense Wavelength Division Multiplexing) 프로토콜 프레임워크로 표준화되고 있는 현실에 비추어 볼 때 IP/GMPLS over DWDM 백본망을 통한 OVPN은 차세대 가상사설망으로써 멀티미디어 서비스 제공을 위한 최적의 방안이다. 이러한 멀티미디어 서비스 제공을 위한 OVPN에서는 최적의 Optical-LSP(Label Switched Path)의 설립이 요구되고 있다. 따라서 본 논문에서는 차세대 OVPN의 모델 및 망의 blocking probability를 향상하기 위한 미래의 잠재적인 연결 요구에 대해 간섭을 최소화하면서 경로를 설정하는 MW-MIPR 라우팅 알고리즘을 제시하고 이를 라우팅 프로토콜인 OSPF-TE+(OSPF Extensions in Support of Generalized MPLS)에 맵핑하기 위한 방안을 제안한다.

• Journal of applied mathematics & informatics
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• v.2 no.2
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• pp.53-62
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• 1995

If one is to estimate environmemtal risk based on data or predict risk based on expert opinion the parameter environmental risk musk be defined precisely so that when data becomes available the numerical values of the estimates and/or prediction can be evaluated. Also the definitionmust be precise so that it may be successfully used in regulatory and litigation activities. The presentation is a develop-ment of a definition which lends to statistical analysis and to inference in addition lends to ease of engineering interpretation. Various impli-cations and useful extensions in measuring numerically for two or more dimensional mixed effects of several toxicants could be developed in further research.

• 한국전산유체공학회:학술대회논문집
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• 2001.10a
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• pp.91-97
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• 2001

The thin-layer Navier-Stokes equations are solved for the hypersonic flow over blunt cone configurations with applications to laminar as well as turbulent flows. The equations are expressed in the forms of flux-vector splitting and explicit algorithm. The upwind schemes of Steger-Warming and van Leer are investigated in their ability to accurately predict the heating loads along the surface of the body. A comparison with the second order extensions of these schemes is made and a hybrid scheme incorporating a combination of central differencing and flux-vector-splitting is presented. This scheme is also investigated in its ability to accurately predict heat transfer distributions.

• Journal of computational fluids engineering
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• v.12 no.3
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• pp.20-28
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• 2007

A fast and robust method of grid generation to multiple functions has been developed for flow analysis in three dimensional space. It is based on the Non-Uniform Rational B-Spline(NURBS) of an approximation method. Many of NURBS intrinsic properties are introduced and much more easily understood. The grid generation method, details of numerical implementation. examples of application, and potential extensions of the current method are illustrated in this paper. The object of this study is to develop the surface grid generation and the grid cluster techniques capable of resolving complex flows with shock waves, expansion waves, shear layers. The knot insert method of Non-Uniform Rational B-Spline seems well worked. In addition, NURBS has been widely utilized to generate grids in the computational fluid dynamics community. Computational examples associated with practical configurations have shown the utilization of the algorithm.

• Journal of the Korean Operations Research and Management Science Society
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• v.12 no.1
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• pp.139-139
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• 1987

This study addresses basic requirements for mathematical programming software, discusses considerations in designing these software, implementation issues facing in these types of applications development, and shows some examples of codes being developed in the course. This type of projects requires long and ever-changing evolutionary phases. The experience is therefore, valuaable in suggesting some useful hints which may be salvaged for similar projects as well as providing reusable codes. In particular, scanning and parsing the free-format inputs, symbol table management, mixed-language programming, and data structures dealing with large sparse matrices are indispensable to many management science software development. Extensions to be made are also discussed.

• Korean Journal of Mathematics
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• v.8 no.2
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• pp.173-180
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• 2000

Let $k$ be a real abelian field such that the conductor of every nontrivial character belonging to $k$ agrees with the conductor of $k$. Note that real quadratic fields satisfy this condition. For a prime $p$, let $k_{\infty}$ be the $\mathbb{Z}_p$-extension of $k$. The aim of this paper is to produce a set of generators of the Tate cohomology group $\hat{H}^{-1}$ of the circular units of $k_n$, the $nth$ layer of the $\mathbb{Z}_p$-extension of $k$, where $p$ is an odd prime. This result generalizes some earlier works which treated the case when $k$ is real quadratic field and used them to study ${\lambda}$-invariants of $k$.