• Korean Journal of Mathematics
• /
• 제16권2호
• /
• pp.215-231
• /
• 2008

Let E be a uniformly convex Banach space with a uniformly $G{\hat{a}}teaux$ differentiable norm, C a nonempty closed convex subset of E, and $T:C{\rightarrow}{\mathcal{K}}(E)$ a multivalued nonself-mapping such that $P_T$ is nonexpansive, where $P_T(x)=\{u_x{\in}Tx:{\parallel}x-u_x{\parallel}=d(x,Tx)\}$. For $f:C{\rightarrow}C$ a contraction and $t{\in}(0,1)$, let $x_t$ be a fixed point of a contraction $S_t:C{\rightarrow}{\mathcal{K}}(E)$, defined by $S_tx:=tP_T(x)+(1-t)f(x)$, $x{\in}C$. It is proved that if C is a nonexpansive retract of E and $\{x_t\}$ is bounded, then the strong ${\lim}_{t{\rightarrow}1}x_t$ exists and belongs to the fixed point set of T. Moreover, we study the strong convergence of $\{x_t\}$ with the weak inwardness condition on T in a reflexive Banach space with a uniformly $G{\hat{a}}teaux$ differentiable norm. Our results provide a partial answer to Jung's question.

• 통합자연과학논문집
• /
• 제6권1호
• /
• pp.46-52
• /
• 2013

In this thesis, we consider isoparametric curves of quadratic F-B$\acute{e}$zier curves. F-B$\acute{e}$zier curves unify C-B$\acute{e}$zier curves whose basis is {sint, cos t, t, 1} and H-B$\acute{e}$zier curves whose basis is {sinht, cosh t, t,1}. Thus F-B$\acute{e}$zier curves are more useful in Geometric Modeling or CAGD(Computer Aided Geometric Design). We derive the relation between the quadratic F-B$\acute{e}$zier curves and the quadratic rational B$\acute{e}$zier curves. We also obtain the geometric properties of isoparametric curve of the quadratic F-B$\acute{e}$zier curves at both end points and prove the continuity of the isoparametric curve.

• 대한수학회논문집
• /
• 제20권4호
• /
• pp.645-648
• /
• 2005

Let K be a Galois extension of a field F with G = Gal(K/F). Let L be an extension of F such that $K\;{\otimes}_F\;L\;=\; N_1\;{\oplus}N_2\;{\oplus}{\cdots}{\oplus}N_k$ with corresponding primitive idempotents $e_1,\;e_2,{\cdots},e_k$, where Ni's are fields. Then G acts on $\{e_1,\;e_2,{\cdots},e_k\}$ transitively and $Gal(N_1/K)\;{\cong}\;\{\sigma\;{\in}\;G\;/\;{\sigma}(e_1)\;=\;e_1\}$. And, let R be a commutative F-algebra, and let P be a prime ideal of R. Let T = $K\;{\otimes}_F\;R$, and suppose there are only finitely many prime ideals $Q_1,\;Q_2,{\cdots},Q_k$ of T with $Q_i\;{\cap}\;R\;=\;P$. Then G acts transitively on $\{Q_1,\;Q_2,{\cdots},Q_k\},\;and\;Gal(qf(T/Q_1)/qf(R/P))\;{\cong}\;\{\sigma{\in}\;G/\;{\sigma}-(Q_1)\;=\;Q_1\}$ where qf($T/Q_1$) is the quotient field of $T/Q_1$.

• 대한수학회논문집
• /
• 제12권2호
• /
• pp.275-285
• /
• 1997

Let E be a uniformly convex Banach space with a uniformly G$\hat{a}teaux differentiable norm, C a nonempty closed convex subset of $E, T : C \to E$ a nonexpansive mapping, and Q a sunny nonexpansive retraction of E onto C. For $u \in C$ and $t \in (0,1)$, let $x_t$ be a unique fixed point of a contraction $R_t : C \to C$, defined by $R_tx = Q(tTx + (1-t)u), x \in C$. It is proved that if ${x_t}$ is bounded, then the strong $lim_{t\to1}x_t$ exists and belongs to the fixed point set of T. Furthermore, the strong convergence of ${x_t}$ in a reflexive and strictly convex Banach space with a uniformly G$\hat{a}$teaux differentiable norm is also given in case that the fixed point set of T is nonempty.

• E2M - 전기 전자와 첨단 소재
• /
• 제10권8호
• /
• pp.800-806
• /
• 1997

The behavior of de levels in rapid thermal annealed Fe-doped semi-insulating InP(100) was studied by photoinduced current transient spectrocopy(PICTS). In bulk InP, T2(Ec-0.24 eV), T3(Ec-0.30 eV) and T5(Ec-0.62 eV) traps were observed. After annealing the T2 trap was annihilated at 20$0^{\circ}C$ and recreated at 35$0^{\circ}C$. T3 trap was not affected below 40$0^{\circ}C$. With increasing temperature the concentration of T5 trap reduced and it was annihilated at 30$0^{\circ}C$. However the T1(Ec-0.16 eV) and T4(Ec-0.42 eV) traps were began to appear at 40$0^{\circ}C$and these concentrations were increased with annealing temperature. The T1 and T4 traps seem to be related to the isolated phosphorus vacancy( $V_{p}$) and $V_{p}$-indium antisite( $V_{p}$- $P_{in}$ ) or $V_{p}$-indium interstitial( $V_{p}$-I $n_{I}$) respectiely.respectiely.

• 디지털융복합연구
• /
• 제17권2호
• /
• pp.171-176
• /
• 2019

현대에는 모든 사물, 기기들이 인터넷으로 연결되고 네트워크를 통해 IoT 제품을 쉽게 접하면서 IoT 제품을 사용하고 있다. 사용자들의 편리성을 위하여 원격으로 IoT 제품을 직접 조작하지 않고 자동으로 조작할 수 있다. 사용자들이 IoT 제품을 이용하여 생활의 편리성을 향상하기 위한 다양한 연구개발이 진행되고 있다. 하지만 사용자의 편리성만을 추구하다 보니 보안적인 측면에서는 사용자의 개인정보 노출이 되는 심각한 문제가 발생하고 있다. 본 논문에서는 IoT 제품에 무아레 기술을 적용하는 방법을 제안하여 보안의 성능을 향상하고, 무아레 현상 방법인 그림자식 무아레, 영사식 무아레를 이용한 사용자 얼굴 인증으로 IoT 제품의 안전성을 높이는 방법을 제안한다. 기존의 IoT 제품과 무아레 기술이 적용된 IoT 제품을 비교해 보면 무아레 기술이 적용된 IoT 제품이 보안적인 측면에서 안전하다.

• 대한기계학회논문집
• /
• 제19권1호
• /
• pp.87-98
• /
• 1995

When the crack in orthotropic material is propagating under dynamic model I load, influences of anisotropic property ratio $E_{L}$/ $E_{T}$ on stress and displacement around propagating crack tip are studied in this paper. When M<0.55 and .alpha.=90.deg.(.alpha.; the angle of fiber direction with crack propagating direction, M; crack propagation velocity/shear stress wave velocity), the influence of $E_{L}$/ $E_{T}$ on stress .sigma.$_{x}$, .sigma.$_{y}$, .tau.$_{xy}$ and .sigma.$_{\theta}$ is the greast on .sigma.$_{y}$. Except M<0.55 and .alpha.=90.deg., it is the greast on .sigma.$_{x}$ in any situation. Increasing $E_{L}$/ $E_{T}$, stress components are increased or decreased. When maximum stress is based, the stress .sigma.$_{x}$(.alpha.=90.deg.), .sigma.$_{y}$(.alpha.=0.deg.) and .tau.$_{xy}$ (.alpha.=90.deg.) are decreased with increment of $E_{L}$/ $E_{T}$ in M=0. any stresses except .sigma.$_{*}$x/(.alpha.=0.deg.) are decreased with increment of $E_{L}$/ $E_{T}$ in M=0.9. When .alpha.=90.deg., the influence of $E_{L}$/ $E_{T}$ on displacement U and V is V>U in any velocities of crack propagation, when .alpha.=0.deg., it is VU in M>0.75 and when $E_{L}$/ $E_{T}$ is increased, U and V are decreased in any conditions.sed in any conditions.tions.tions.tions.