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EXISTENCE OF POSITIVE SOLUTIONS FOR SINGULAR IMPULSIVE DIFFERENTIAL EQUATIONS WITH INTEGRAL BOUNDARY CONDITIONS

  • Miao, Chunmei;Ge, Weigao;Zhang, Zhaojun
    • 한국수학교육학회지시리즈B:순수및응용수학
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    • 제21권3호
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    • pp.147-163
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    • 2014
  • In this paper, we study the existence of positive solutions for singular impulsive differential equations with integral boundary conditions $$\{u^{{\prime}{\prime}}(t)+q(t)f(t,u(t),u^{\prime}(t))=0,\;t{\in}\mathbb{J}^{\prime},\\{\Delta}u(t_k)=I_k(u(t_k),u^{\prime}(t_k)),\;k=1,2,{\cdots},p,\\{\Delta}u^{\prime}(t_k)=-L_k(u(t_k),u^{\prime}(t_k)),\;k=1,2,{\cdots},p,\\u=(0)={\int}_{0}^{1}g(t)u(t)dt,\;u^{\prime}=0,$$) where the nonlinearity f(t, u, v) may be singular at v = 0. The proof is based on the theory of Leray-Schauder degree, together with a truncation technique. Some recent results in the literature are generalized and improved.

ON ℤpp[u]/k>-CYCLIC CODES AND THEIR WEIGHT ENUMERATORS

  • Bhaintwal, Maheshanand;Biswas, Soumak
    • 대한수학회지
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    • 제58권3호
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    • pp.571-595
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    • 2021
  • In this paper we study the algebraic structure of ℤpp[u]/k>-cyclic codes, where uk = 0 and p is a prime. A ℤpp[u]/k>-linear code of length (r + s) is an Rk-submodule of ℤrp × Rsk with respect to a suitable scalar multiplication, where Rk = ℤp[u]/k>. Such a code can also be viewed as an Rk-submodule of ℤp[x]/r - 1> × Rk[x]/s - 1>. A new Gray map has been defined on ℤp[u]/k>. We have considered two cases for studying the algebraic structure of ℤpp[u]/k>-cyclic codes, and determined the generator polynomials and minimal spanning sets of these codes in both the cases. In the first case, we have considered (r, p) = 1 and (s, p) ≠ 1, and in the second case we consider (r, p) = 1 and (s, p) = 1. We have established the MacWilliams identity for complete weight enumerators of ℤpp[u]/k>-linear codes. Examples have been given to construct ℤpp[u]/k>-cyclic codes, through which we get codes over ℤp using the Gray map. Some optimal p-ary codes have been obtained in this way. An example has also been given to illustrate the use of MacWilliams identity.

원자의 온도 매개변수의 정확한 표현 (The Explicit Expression of the Atomic Thermal Parameters)

  • William P. Jensen;Suh, Il-Hwan
    • 한국결정학회지
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    • 제9권2호
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    • pp.149-152
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    • 1998
  • The accurate expression of the anisotropic thermal parameters is either exp (-2$π^{2}$ < $h^{2}$ $\frac{$u_x^2$}{$a^{2}$}$ + $k^{2}$ $\frac{$u_y^2$}{$b^{2}$}$ + $l^{2}$ $\frac{$u_z^2$}{$c^{2}$}$ + 2hk $\frac{$u_{x}}{a}$ $\frac{$u_{y}}{b}$ 2hl $\frac{$u_{x}}{a}$ $\frac{$u_{z}}{c}$ 2kl $\frac{$u_{y}}{b}$ $\frac{$u_{z}}{c}$ > ) with the small displacements Ux, Uy, uz, in absolute measure or exp (-2$π^{2}$ < $h^{2}$ $u_x^2$ + $k^{2}$ $u_y^{2}$ + $l^{2}$ $u_z^{2}$ + 2hk$u_{x}$ $u_{y}$ + 2hl$u_{x}$$u_{z}$ + 2kl$u_{y}$ $u_{z}$ > ) with the small displacements Ux, Uy, Uz in fractional measure.

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The High Temperature Oxidation Behavior of l0wt%$Gd_2 O_3$- Doped $UO_2$

  • J.H. Yang;K.W. Kang;Kim, K.S.;K.W. Song;Kim, J.H.
    • Nuclear Engineering and Technology
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    • 제33권3호
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    • pp.307-314
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    • 2001
  • The changes of weight gain, structure, morphology and uranium oxidation states in l0wt% G $d_2$ $O_3$-doped U $O_2$ during the oxidation below 475$^{\circ}C$ and heat treatment at 130$0^{\circ}C$ in air were investigated using TGA, XRD, SEM, EPMA and XPS. The room temperature ( $U_{0.86}$G $d_{0.14}$) $O_2$Cubic Phase Converted to highly distorted ( $U_{0.86}$G $d_{0.14}$)$_3$ $O_{8}$ -type sing1e Phase by oxidation at 475 $^{\circ}C$ in air. This oxidized phase was reduced by annealing at 130$0^{\circ}C$ in air. The room temperature XRD pattern of the 130$0^{\circ}C$ annealed powder revealed that ( $U_{0.86}$G $d_{0.14}$)$_3$ $O_{8}$ -type single phase was separated into Gd-depleted $U_3$ $O_{8}$ and Gd-enriched ( $U_{0.7}$G $d_{0.3}$) $O_2$$_{+x}$ type cubic phase. The reduction and phase separation by the high temperature annealing of kinetically metastable and highly deformed ( $U_{0.86}$G $d_{0.14}$)$_3$ $O_{8}$ -type phase are interpreted in terms of cation size difference between G $d^3$$^{+}$ and U according to the oxidation state of U.U.U.U.U.te of U.U.U.U.U.

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MI2U CONTROL FLIGHT SOFTWARE DESIGN AND DEVELOPMENT IN COMS

  • Kang, Seo-Yeon;Park, Su-Hyun;Koo, Cheol-Hae;Yang, Koon-Ho;Choi, Seong-Bong
    • 대한원격탐사학회:학술대회논문집
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    • 대한원격탐사학회 2006년도 Proceedings of ISRS 2006 PORSEC Volume I
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    • pp.271-273
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    • 2006
  • In this paper, we describe the MI2U ORB function which is a part of the flight software executed on SCU and controls MI2U/MI which is one of three payloads on COMS. The MI2U ORB function manages MI2U/MI redundancy and reconfiguration, monitors MI2U/MI equipment, performs FDIR, and provides the routing service of commands from Ground/IP (Interpreted Program) through the current used 1553 channel. The MI2U hardware achieves the interface between the SCU and the MI. The MI2U is connected to SCU through MIL-STD-1553B system bus. The MI2U has the internal redundancy but is used in cold redundancy. The MI2U ORB function considers that they are not expected to be simultaneously switched on. The connection combination between MI2U and MI is electrically cross-strapped. However the MI2U ORB function considers only two combinations (MI2U A + MI 1, MI2U B + MI 2). Other combinations can be manually achieved by ground in case of the emergency case.

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DOUBLE PAIRWISE (r, s)(u, v)-SEMICONTINUOUS MAPPINGS

  • Lee, Eun Pyo;Lee, Seung On
    • 충청수학회지
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    • 제27권4호
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    • pp.603-614
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    • 2014
  • We introduce the concepts of ($\mathcal{T}^{{\mu}{\gamma}}$, $\mathcal{U}^{{\mu}{\gamma}}$)-double (r, s) (u, v)-semiclosures and ($\mathcal{T}^{{\mu}{\gamma}}$, $\mathcal{U}^{{\mu}{\gamma}}$)-double (r, s)(u, v)-semiinteriors. Using the notions, we investigate some of characteristic properties of double pairwise (r, s)(u, v)-semicontinuous, double pairwise (r, s)(u, v)-semiopen and double pairwise (r, s)(u, v)-semiclosed mappings.

VaSpoU1 (SpoU gene) may be involved in organelle rRNA/tRNA modification in Viscum album

  • Ahn, Joon-Woo;Kim, Suk-Weon;Liu, Jang-Ryol;Jeong, Won-Joong
    • Plant Biotechnology Reports
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    • 제5권3호
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    • pp.289-295
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    • 2011
  • The SpoU family of proteins catalyzes the methylation of transfer RNAs (tRNAs) and ribosomal RNAs (rRNAs). We characterized a putative tRNA/rRNA methyltransferase, VaSpoU1 of the SpoU family, from Viscum album (mistletoe). VaSpoU1 and other plant SpoU1s exhibit motifs of the SpoU methylase domain that are conserved with bacterial and yeast SpoU methyltransferases. VaSpoU1 transcripts were detected in the leaves and stems of V. album. VaSpoU1-GFP fusion proteins localized to both chloroplasts and mitochondria in Arabidopsis protoplasts. Sequence analysis similarly predicted that the plant SpoU1 proteins would localize to chloroplasts and mitochondria. Interestingly, mitochondrial localization of VaSpoU1 was inhibited by the deletion of a putative N-terminal presequence in Arabidopsis protoplasts. Therefore, VaSpoU1 may be involved in tRNA and/or rRNA methylation in both chloroplasts and mitochondria.

재래시장 활성화를 위한 U-Market 서비스 수용성에 영향을 미치는 요인 연구 (A Study of factors Influencing u-Market Service Acceptance for Traditional Market Revitalization)

  • 유호선;김재경;김민용;권오병;조혜경
    • 경영정보학연구
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    • 제10권2호
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    • pp.97-121
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    • 2008
  • 유비쿼터스 기술(uT)의 적용에 대한 논의가 상대적으로 저조한 재래시장에 uT를 적용하여 쇼핑고객의 쇼핑편의와 온/오프라인 쇼핑경험을 촉진할 수 있는 u-Market을 구현한다면, 재래시장을 방문하는 쇼핑고객의 수를 증가시킬 수 있으며, 이는 매출증대로 이어져 재래시장 활성화에 일조할 것이다. 이를 위해 우선 현실적인 u-Market 서비스 시나리오를 개발하였고, u-Market 시나리오를 기반으로 실제 사용자들을 대상으로 u-Market 서비스 수용성에 영향을 미치는 요인에 대한 연구를 하였다. 본 연구에서 제안하는 u-Market 서비스 시나리오는 향후 시스템 구현단계에서 개발자들 간의 협업을 촉진하여 고품질의 시스템을 효과적으로 개발하는데 일조할 것이다. 뿐만 아니라 u-Market 서비스 수용성에 영향을 미치는 요인에 대한 연구결과는 차후 재래시장에 실제로 구축될 u-Market 서비스의 성공가능성을 제고하는데 도움을 줄 것으로 기대한다.

유비쿼터스도시종합계획과 유비쿼터스도시계획 비교 연구 -U-서비스 계획을 중심으로- (A Comparative Study between Ubiquitous City Comprehensive Plan and Ubiquitous City Plan - Focusing on U-Service Plan)

  • 유지송;정다운;이미숙;민경주
    • Spatial Information Research
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    • 제23권2호
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    • pp.83-93
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    • 2015
  • 최근 U-City 계획을 수립한 지자체의 U-서비스는 시설 및 도시 관리 위주의 서비스로 구현되고 있으며, 시민 맞춤형 U-서비스는 계획에만 그치고 있는 실정이다. 이에 본 연구는 U-City 종합계획과 U-City 계획의 U-서비스 내용을 네트워크 텍스트 분석과 단어 빈도 분석을 통해 비교 검토하여 향후 시민 맞춤형 U-서비스 제공을 위한 시사점을 제시하였다. 제1, 2차 U-City 종합계획과 4개 지방자치단체의 U-City 계획 중 U-서비스 계획 내용을 추출하여 주요 단어들을 산출하였고, 도출된 단어를 통해 네트워크 텍스트 분석과 단어 빈도 분석을 실시하였다. 분석 결과를 바탕으로 향후 U-City 종합계획에서는 지자체의 특색에 따른 서비스 추가와 정책 재정 지원 및 시민의 필요사항을 반영하여 다양한 분야의 시민 맞춤형 U-서비스 개발과 같은 시사점을 도출하였으며, 이를 통해 U-City에 대한 시민들의 인식 또한 증가될 것으로 기대할 수 있다.

A PRIORI L2 ERROR ANALYSIS FOR AN EXPANDED MIXED FINITE ELEMENT METHOD FOR QUASILINEAR PSEUDO-PARABOLIC EQUATIONS

  • Ohm, Mi Ray;Lee, Hyun Young;Shin, Jun Yong
    • 대한수학회지
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    • 제51권1호
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    • pp.67-86
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    • 2014
  • Based on an expanded mixed finite element method, we consider the semidiscrete approximations of the solution u of the quasilinear pseudo-parabolic equation defined on ${\Omega}{\subset}R^d$, $1{\leq}d{\leq}3$. We construct the semidiscrete approximations of ${\nabla}u$ and $a(u){\nabla}u+b(u){\nabla}u_t$ as well as u and prove the existence of the semidiscrete approximations. And also we prove the optimal convergence of ${\nabla}u$ and $a(u){\nabla}u+b(u){\nabla}u_t$ as well as u in $L^2$ normed space.