• Communications of the Korean Mathematical Society
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• v.27 no.3
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• pp.441-448
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• 2012

Let R be a prime ring with center Z and characteristic different from two, U a nonzero Lie ideal of R such that $u^2{\in}U$ for all $u{\in}U$ and $d$ be a nonzero (${\sigma}$, ${\tau}$)-derivation of R. We prove the following results: (i) If $[d(u),u]_{{\sigma},{\tau}}$ = 0 or $[d(u),u]_{{\sigma},{\tau}}{\in}C_{{\sigma},{\tau}}$ for all $u{\in}U$, then $U{\subseteq}Z$. (ii) If $a{\in}R$ and $[d(u),a]_{{\sigma},{\tau}}$ = 0 for all $u{\in}U$, then $U{\subseteq}Z$ or $a{\in}Z$. (iii) If $d([u,v])={\pm}[u,v]_{{\sigma},{\tau}}$ for all $u{\in}U$, then $U{\subseteq}Z$.

• Koreanishche Zeitschrift fur Deutsche Sprachwissenschaft
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• v.6
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• pp.305-322
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• 2002

Seit dem Ereignis des Tunnbaus zu Babel. versucht man, Sprachbarriere zu $\"{u}berwinden$. Eine dieser $Bem\"{u}hungen$ hat seit der 60er Jahre zur Anwendung von Computern in der $\"{U}bersetzung gef\"{u}hrt$. Bei der automatischen $\"{U}bersetzung\;\"{u}bernimmt$ der Computer die Aufgabe, Texte von einer $nat\"{u}rlichen$ Sprache in eine andere zu $\"{u}bertragen$. Die vorliegende Arbeit $besch\"{a}ftigt$ sich mit verschiedenen Arten von den sogenannten $\"{U}bersetzungspatterns\;f\"{u}r$ die automatische $\"{U}bersetzung$ Koreanisch­Deutsch. Zu den $\"{U}bersetzungspatterns\;geh\"{o}ren$ u.a. Verbphrasen-Pattern, Nominalphrasen-Pattern und Verbindungspattern. Unter 'Verbphrasen-Pattern' versteht man einen gekoppelten Subkategorisierungsrahmen der Verben zweier Sprachen. 'NominaIphrasen-Pattern' verstehen sich als $\"{U}bersetzungspattern$ der Nominalphrasen. Unter 'Verbindungs-Pattern' werden $\"{U}bersetzungspattern$ von komplexen $S\"{a}tze$ verstanden, wie z.B. Satzkoordinationen und $S\"{a}tze$ mit eingebetten $S\"{a}tzen$. Als Vorteil des Ansatzes $z\"{a}hlen$ u.a. die Wiederverwendbarkeit bzw. das leichte Management der Patterns, die $Beschreibungsm\"{o}glichkeit$ in der lexikalischen Ebene, die Generieung der naturlichen $Ziels\"{a}tze$ und die leichte Verbesserung der $\"{U}bersetzungsqualit\"{a}t$. Die in dieser Arbeit vorgestellten $\"{U}bersetzungspatterns\;k\"{o}nnen$ aIs Hilfsmittel $f\"{u}r$ Deutschunterrichte, Aufsatzhilfesysteme und elektronische Koreanisch-Deutsch $W\"{o}rterb\"{u}cher$ eingesetzt werden.

• Information Systems Review
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• v.13 no.1
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• pp.13-32
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• 2011

As the ubiquitous technology has been widespread, the u-service development in the private sector is increasing these days. Especially, consisting of various life spaces, a mixed-use complex started actively utilizing the ubiquitous technology in order to provide users with differentiated services. In this paper, a new development methodology of the u-service for a mixed-use complex is proposed. Because the ultimate purpose of the u-service in a mixed-use complex is to guarantee profitability, the u-service must accelerate commercial activities among various users in the complex. The u-service development methodology of a mixed-use complex proposed in this paper firstly defines various perspectives for the u-service and identifies specific u-service elements in cross points of the perspectives. Then with those u-service elements, the methodology generates a u-service pool. Finally, after evaluation process, target u-serviced to develop are selected. Having designed the u-service development methodology, we expect the methodology to contribute the successful implementation of u-service model for a mixed-use complex.

• Bulletin of the Korean Mathematical Society
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• v.59 no.3
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• pp.643-657
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• 2022

Let R be a ring and S a multiplicative subset of R. An R-module T is called u-S-torsion (u-always abbreviates uniformly) provided that sT = 0 for some s ∈ S. The notion of u-S-exact sequences is also introduced from the viewpoint of uniformity. An R-module F is called u-S-flat provided that the induced sequence 0 → A ⊗_R F → B ⊗_R F → C ⊗_R F → 0 is u-S-exact for any u-S-exact sequence 0 → A → B → C → 0. A ring R is called u-S-von Neumann regular provided there exists an element s ∈ S satisfying that for any a ∈ R there exists r ∈ R such that sα = rα². We obtain that a ring R is a u-S-von Neumann regular ring if and only if any R-module is u-S-flat. Several properties of u-S-flat modules and u-S-von Neumann regular rings are obtained.

• Korean Journal of Crystallography
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• v.9 no.2
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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.

• Journal of the Chungcheong Mathematical Society
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• v.21 no.3
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• pp.361-370
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• 2008

We consider the Hyers-Ulam type stability of the Cauchy, Jensen, Pexider, Pexider-Jensen differences: $$(0.1){\hspace{55}}C(u):=u{\circ}A-u{\circ}P_1-u{\circ}P_2,\\(0.2){\hspace{55}}J(u):=2u{\circ}\frac{A}{2}-u{\circ}P_1-u{\circ}P_2,\\(0.3){\hspace{18}}P(u,v,w):=u{\circ}A-v{\circ}P_1-w{\circ}P_2,\\(0.4)\;JP(u,v,w):=2u{\circ}\frac{A}{2}-v{\circ}P_1-w{\circ}P_2$$, with respect to bounded distributions.

• Communications of the Korean Mathematical Society
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• v.38 no.4
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• pp.1045-1061
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• 2023

Using variational methods, Krasnoselskii's genus theory and symmetric mountain pass theorem, we introduce the existence and multiplicity of solutions of a parameteric local equation. At first, we consider the following equation $$\{-div[a(x,{\mid}{\nabla}u{\mid}){\nabla}u]\,=\,{\mu}(b(x){\mid}u{\mid}^{s(x)-2}-{\mid}u{\mid}^{r(x)-2})u\;in\;{\Omega},\\u\,=0\,on\;{\partial}{\Omega},$$ where Ω⊆ ℝ^N is a bounded domain, µ is a positive real parameter, p, r and s are continuous real functions on ${\bar{\Omega}}$ and a(x, ξ) is of type |ξ|^p(x)-2. Next, we study boundedness and simplicity of eigenfunction for the case a(x, |∇u|)∇u = g(x)|∇u|^p(x)-2∇u, where g ∈ L^∞(Ω) and g(x) ≥ 0 and the case $a(x,\,{\mid}{\nabla}u{\mid}){{\nabla}u}\,=\,(1\,+\,{\nabla}u{\mid}^2)^{\frac{p(x)-2}{2}}{\nabla}u$ such that p(x) ≡ p.

• The Journal of Society for e-Business Studies
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• v.17 no.2
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• pp.1-22
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• 2012

In this paper, we propose a master planning framework for the development of u-City export model. The framework consists of a general plan, a construction plan, an operation plan and an evaluation plan for the successful penetration of u-City overseas market, respectively. In order to derive those planning elements, governmental policies and related literature for u-City export is thoroughly reviewed. The framework is applied to a project which develops an u-City export model. This study will contribute to the realization of such governmental policies for the revitalization of u-City export as well as the activation of u-City export by the private sector.

• Spatial Information Research
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• v.15 no.1
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• pp.1-14
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• 2007

u-City is a new concept and phenomena of applying Information & Communications Technology(ICT) into real cities in Korea. In order to effectively integrate a city with high-tech ICT infrastructure, cutting-edge ICT is being integrated into physical urban environments from the planning and construction stage of a city. There are positive expectations regarding its effect on urban planning and citizens' lives. However, construction of u-city has technical limitations as well as institutional obstacles. This paper aims at identifying problems of current u-city practices and suggesting appropriate solutions for those problems. To do so, it first collects opinions from diverse experts. Then, it draws problems and suggests solutions in terms of u-infrastructure, u-service, policy and implementation process.

• Journal of the Korean Mathematical Society
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• v.47 no.4
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• pp.819-830
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• 2010

We prove, in this article, that a ring R is a stable exchange ring if and only if so are all its Pierce stalks. If every Pierce stalks of R is artinian, then $1_R$ = u + $\upsilon$ with u, $\upsilon$ $\in$ U(R) if and only if for any a $\in$ R, there exist u, $\upsilon$ $\in$ U(R) such that a = u + $\upsilon$. Furthermore, there exists u $\in$ U(R) such that $1_R\;{\pm}\;u\;\in\;U(R)$ if and only if for any a $\in$ R, there exists u $\in$ U(R) such that $a\;{\pm}\;u\;\in\;U(R)$. We will give analogues to normal exchange rings. The root properties of such exchange rings are also obtained.