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고상 반응법으로 합성한 ${Y_2}{SiO_5}:\;EU^{3+}$, $Bi^{3+}$ 적색 형광체의 발광 특성 (Luminescence characterization of $EU^{3+}$ and $Bi^{3+}$ co-doped in ${Y_2}{SiO_5}$ red emitting phosphor by solid state reaction method)

  • 문지욱;송영현;박무정;윤대호
    • 한국결정성장학회지
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    • 제19권1호
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    • pp.15-18
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    • 2009
  • 본 연구에서는 근 자외선 및 가시광 영역에서 우수한 발광 강도를 가지는 적색 형광체를 얻기 위하여 고상 반응법으로 합성하여 $EU^{3+}$$Bi^{3+}$가 도핑 된 ${Y_2}{SiO_5}$의 발광 특성을 관찰하였다. 근자외선 영역인 ${\lambda}_{ex}=395nm$ 기준으로 측정하였고, $^5D_0-^7F_2$의 에너지 천이에 의해 612 nm 영역에서 강한 peak가 발생하였다. CST가 $Eu^{3+}-O^{2-}$에 의해 258 nm 영역 대에서 생성되었고, $Bi^{3+}$가 함께 도핑 된 것은 $Eu^{3+}-Bi^{3+}-O^{2-}$에 상호작용에 의해 282 nm 영역대의 장파장 쪽으로 이동하였다. $350\;nm{\sim}480\;nm$ 영역 대에 '$^7F_0{\to}^5L_9$ (364 nm), $^7F_0{\to}^5G_3$(381 nm), $^7F_0{\to}^5L_6$(395nm), $^7F_0{\to}^5D_3$(415 mn) and $^7F_0{\to}^5D_2$(466 nm)는 $Bi^{3+}$$EU^{3+}$ f-f 천이에 의해 발생하였다. $Bi^{3+}$의 도핑농도가 증가할수록 발광 강도가 증가함을 보이다가 0.125 mol 일 때 발광강도가 가장 우수하였고, $Bi^{3+}$의 도핑 농도가 0.125 mol 이상 되면 발광강도가 현저히 감소하는 것을 확인하였다.

Study of Generalized Derivations in Rings with Involution

  • Mozumder, Muzibur Rahman;Abbasi, Adnan;Dar, Nadeem Ahmad
    • Kyungpook Mathematical Journal
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    • 제59권1호
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    • pp.1-11
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    • 2019
  • Let R be a prime ring with involution of the second kind and centre Z(R). Suppose R admits a generalized derivation $F:R{\rightarrow}R$ associated with a derivation $d:R{\rightarrow}R$. The purpose of this paper is to study the commutativity of a prime ring R satisfying any one of the following identities: (i) $F(x){\circ}x^*{\in}Z(R)$ (ii) $F([x,x^*]){\pm}x{\circ}x^*{\in}Z(R)$ (iii) $F(x{\circ}x^*){\pm}[x,x^*]{\in}Z(R)$ (iv) $F(x){\circ}d(x^*){\pm}x{\circ}x^*{\in}Z(R)$ (v) $[F(x),d(x^*)]{\pm}x{\circ}x^*{\in}Z(R)$ (vi) $F(x){\pm}x{\circ}x^*{\in}Z(R)$ (vii) $F(x){\pm}[x,x^*]{\in}Z(R)$ (viii) $[F(x),x^*]{\mp}F(x){\circ}x^*{\in}Z(R)$ (ix) $F(x{\circ}x^*){\in}Z(R)$ for all $x{\in}R$.

On a Question of Closed Maps of S. Lin

  • Chen, Huaipeng
    • Kyungpook Mathematical Journal
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    • 제50권4호
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    • pp.537-543
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    • 2010
  • Let X be a regular $T_1$-space such that each single point set is a $G_{\delta}$ set. Denot 'hereditarily closure-preserving' by 'HCP'. To consider a question of closed maps of S. Lin in [6], we improve some results of Foged in [1], and prove the following propositions. Proposition 1. $D\;=\;\{x{\in}X\;:\;\mid\{F{\in}\cal{F}:x{\in}F\}\mid{\geq}{\aleph}_0\}$ is discrete and closed if $\cal{F}$ is a collection of HCP. Proposition 2. $\cal{H}\;=\;\{{\cup}\cal{F}'\;:\;F'$ is an fininte subcolletion of $\cal{F}_n\}$ is HCP if $\cal{F}$ is a collection of HCP. Proposition 3. Let (X,$\tau$) have a $\sigma$-HCP k-network. Then (X,$\tau$) has a $\sigma$-HCP k-network F = ${\cup}_n\cal{F}_n$ such that such tat: (i) $\cal{F}_n\;\subset\;\cal{F}_{n+1}$, (ii) $D_n\;=\;\{x{\in}X\;:\;\mid\{F{\in}\cal{F}_n\;:\;x{\in}F\}\mid\;{\geq}\;{\aleph}_0\}$ is a discrete closed set and (iii) each $\cal{F}_n$ is closed to finite intersections.

전자석의 자기력 제어를 이용한 구형 3 자유도 액추에이터의 설계 및 제어 (Design and Control of 3 D.O.F. Spherical Actuator Using the Magnetic Force of the Electromagnets)

  • 백윤수;양창일;박준혁
    • 대한기계학회논문집A
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    • 제25권9호
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    • pp.1341-1349
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    • 2001
  • In this paper, 3 D.O.F. actuator, which has three degrees of freedom in one joint, is proposed. The proposed 3 D.O.F. spherical actuator is composed of the rotor and atator. The upper plate of the stator supports the rotor and five electromagnets are located at the base of the stator. The rotor has two permanent magnets, and each rotational axis of the rotor gimbal system is supported by the bearing. To find out the governing equations for the torque generation, Coulombs law and Lorentz force with respect to magnetism is applied. As the experimental results, if the distance between electromagnet and permanent maget is far enough, the force between these magnets can be expressed from current of coils and z-axial distance. For the purpose of control 3 D.O.F. actuator, PID control law is applied. The experimental results are presented to show the validity of the proposed 3 D.O.F. actuator.

Box-Cox 변환에 의한 I-D-F 곡선의 평활화 (The Smoothing of Rainfall Intensity - Duration - frequency Relationships curve by the Box-Cox Transformation)

  • 이희창;성기원
    • 한국수자원학회논문집
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    • 제36권2호
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    • pp.153-159
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    • 2003
  • I-D-F곡선을 유도할 때 강우자료의 보유연한이 충분하지 않을 경우 지속시간별 강우강도의 변화가 매끄럽게 연결되지 못하는 경우가 발생하기도 한다. 특히 곡선에서, 상대적인 장시간에 강우강도가 크게 되는 문제는 실무적으로 I-D-F 곡선을 이용하는데 큰 혼란을 야기 시킨다. 본 연구에서는 강우자료를 Box-Cox변환을 이용하여 지속시간과 강우강도의 상관관계를 통해 이러한 문제를 해결하는 방법을 제시한다. 산청과 영천의 강우자료에 대한 분석결과 Box-Cox 변환의 실효성을 확인할 수 있었다.

19F NMR investigation on the ratio of amorphous to crystal for the binder PVdF in Li ion battery

  • Im, Jong-san;Park, Junghwan;Kim, Kyoung Soo;Jung, Hyunok
    • 한국자기공명학회논문지
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    • 제23권1호
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    • pp.1-5
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    • 2019
  • $^{19}F$ NMR experiments were carried out to observe the change of the characteristics of the PVdF binder which is an auxiliary material of the lithium ion battery. PVdF has various crystalline or amorphous phases by thermal treatment. A mixture of cathode and auxiliary materials including PVdF was coated on aluminum foil as an electron collector and then subjected to thermal treatment at various temperatures. The overlapped $^{19}F$ NMR signals obtained from the various phases were separately convoluted into the respective phases, and it was found that there was a relative ratio change of these phases. In addition, the crystal and amorphous phase of PVdF was changed during the vacuum drying, which is the last step of the actual electrode manufacturing. It was observed that the relative amount of amorphous phase, which may affect the flexibility of the electrode or the wettability of the electrolyte, abruptly changes after a certain temperature.

INEQUALITIES FOR THE RIEMANN-STIELTJES INTEGRAL OF PRODUCT INTEGRATORS WITH APPLICATIONS

  • Dragomir, Silvestru Sever
    • 대한수학회지
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    • 제51권4호
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    • pp.791-815
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    • 2014
  • We show amongst other that if $f,g:[a,b]{\rightarrow}\mathbb{C}$ are two functions of bounded variation and such that the Riemann-Stieltjes integral $\int_a^bf(t)dg(t)$ exists, then for any continuous functions $h:[a,b]{\rightarrow}\mathbb{C}$, the Riemann-Stieltjes integral $\int_{a}^{b}h(t)d(f(t)g(t))$ exists and $${\int}_a^bh(t)d(f(t)g(t))={\int}_a^bh(t)f(t)d(g(t))+{\int}_a^bh(t)g(t)d(f(t))$$. Using this identity we then provide sharp upper bounds for the quantity $$\|\int_a^bh(t)d(f(t)g(t))\|$$ and apply them for trapezoid and Ostrowski type inequalities. Some applications for continuous functions of selfadjoint operators on complex Hilbert spaces are given as well.

Ulam Stability Generalizations of 4th- Order Ternary Derivations Associated to a Jmrassias Quartic Functional Equation on Fréchet Algebras

  • Ebadian, Ali
    • Kyungpook Mathematical Journal
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    • 제53권2호
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    • pp.233-245
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    • 2013
  • Let $\mathcal{A}$ be a Banach ternary algebra over a scalar field R or C and $\mathcal{X}$ be a ternary Banach $\mathcal{A}$-module. A quartic mapping $D\;:\;(\mathcal{A},[\;]_{\mathcal{A}}){\rightarrow}(\mathcal{X},[\;]_{\mathcal{X}})$ is called a $4^{th}$- order ternary derivation if $D([x,y,z])=[D(x),y^4,z^4]+[x^4,D(y),z^4]+[x^4,y^4,D(z)]$ for all $x,y,z{\in}\mathcal{A}$. In this paper, we prove Ulam stability generalizations of $4^{th}$- order ternary derivations associated to the following JMRassias quartic functional equation on fr$\acute{e}$che algebras: $$f(kx+y)+f(kx-y)=k^2[f(x+y)+f(x-y)]+2k^2(k^2-1)f(x)-2(k^2-1)f(y)$$.

Weak Convergence for Nonparametric Bayes Estimators Based on Beta Processes in the Random Censorship Model

  • Hong, Jee-Chang
    • Communications for Statistical Applications and Methods
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    • 제12권3호
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    • pp.545-556
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    • 2005
  • Hjort(1990) obtained the nonparametric Bayes estimator $\^{F}_{c,a}$ of $F_0$ with respect to beta processes in the random censorship model. Let $X_1,{\cdots},X_n$ be i.i.d. $F_0$ and let $C_1,{\cdot},\;C_n$ be i.i.d. G. Assume that $F_0$ and G are continuous. This paper shows that {$\^{F}_{c,a}$(u){\|}0 < u < T} converges weakly to a Gaussian process whenever T < $\infty$ and $\~{F}_0({\tau})\;<\;1$.

THE STABILITY OF PEXIDERIZED COSINE FUNCTIONAL EQUATIONS

  • Kim, Gwang Hui
    • Korean Journal of Mathematics
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    • 제16권1호
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    • pp.103-114
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    • 2008
  • In this paper, we investigate the superstability problem for the pexiderized cosine functional equations f(x+y) +f(x−y) = 2g(x)h(y), f(x + y) + g(x − y) = 2f(x)g(y), f(x + y) + g(x − y) = 2g(x)f(y). Consequently, we have generalized the results of stability for the cosine($d^{\prime}Alembert$) and the Wilson functional equations by J. Baker, $P.\;G{\check{a}}vruta$, R. Badora and R. Ger, and G.H. Kim.

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