• 한국재료학회지
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• 제5권6호
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• pp.723-731
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• 1995

x=0.4-0.6이고 작은 $\delta$값을 갖는 P $b_2$S $r_2$( $Y_{1-x}$ C $a_{x}$)C $u_3$ $O_{8+}$$\delta$/초전도체시료를 제조하였다. 시료가 초전도체로 되기 위하여 작은 $\delta$값을 가져야 하는데 이를 위해 소결 후 직접 낮은 산소분압에서 annealing하면 산화성 상분해가 발생하여 과잉의 2차상이 생성된다. 따라서 제조과정중 산화성 상분해의 양을 줄이기 위하여 두 단계의 annealing 과정을 도입하였다. 즉 100% 아르곤 기체 분위기에서의 소결 후 먼저 100% 산소 분위기하에서 시료를 annealing하여 산화시킨 후 0.1~1.0% 산소분압하에서 annealing하여 작은 $\delta$값을 얻는 것이다. 얻어진 시료의 전기저항 측정결과 80K의 초전도 전이온도( $T_{c}$)가 얻어져 지금까지 이 화합물에서 보고된 결과중 가장 높은 $T_{c}$를 나타내었다. 그러나 본 연구에서 도입한 두단계 annealing 과정에 의해서도 작은 $\delta$값을 얻기 위하여는 약간의 산화성 상분해가 발생하여 깨끗한 초전도 전이과정을 블 수 없었다. 수 없었다..

• 대한수학회보
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• 제31권2호
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• pp.193-200
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• 1994

Let x : $M^{n}$ .rarw. $E^{m}$ be an isometric immersion of a manifold $M^{n}$ into the Euclidean space $E^{m}$ and .DELTA. the Laplacian of $M^{n}$ defined by -div.omicron.grad. The family of such immersions satisfying the condition .DELTA.x = .lambda.x, .lambda..mem.R, is characterized by a well known result ot Takahashi (8]): they are either minimal in $E^{m}$ or minimal in some Euclidean hypersphere. As a generalization of Takahashi's result, many authors ([3,6,7]) studied the hypersurfaces $M^{n}$ in $E^{n+1}$ satisfying .DELTA.x = Ax + b, where A is a square matrix and b is a vector in $E^{n+1}$, and they proved independently that such hypersurfaces are either minimal in $E^{n+1}$ or hyperspheres or spherical cylinders. Since .DELTA.x = -nH, the submanifolds mentioned above satisfy .DELTA.H = .lambda.H or .DELTA.H = AH, where H is the mean curvature vector field of M. And the family of hypersurfaces satisfying .DELTA.H = .lambda.H was explored for some cases in [4]. In this paper, we classify space curves x : R .rarw. $E^{3}$ satisfying .DELTA.x = Ax + b or .DELTA.H = AH, and find conditions for such curves to be equivalent.alent.alent.

• 천문학논총
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• 제1권1호
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• pp.39-54
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• 1984

For F,G,K stars, their photometric data and metallicity, [Fe/H] are collected and their correlations between $\delta$(U-B) and [Fe/H] for each spectral group are examined, using a reference sequence which is defined by the stars in Woolley's catalogue and other reference sequences. Detailed examination shows that the reference sequence by Woolley's catalogue appears to be properly defined for the calculation of $\delta$(U-B) of population I stars in the solar neighborhood. It is suggested that accuracies of metallicities derived from $\delta$(U-B) can be improved if we derive the correlations between [Fe/H] and $\delta$(U-B) from the stars in each spectral group.

• Journal of the Korean Physical Society
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• 제73권10호
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• pp.1495-1501
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• 2018

We have developed an extended three-dimensional free-electron laser (3D FEL) code with source-dependent expansion to calculate the intensity of the radiation field and the spot size in a free-electron laser oscillator. The effect of the wiggler field errors was evaluated for the case of a planar wiggler generated by a magnet stack with parabolic shaped pole faces by using the extended three-dimensional equations in a free-electron laser oscillator based on the proposed FEL facility which is to be operated in the far-infrared and the infrared regions. The radiation spot size due to the wiggler field errors also have been analyzed for wiggler errors of ${\Delta}B/B=0.0$, 0.03, 0.06 and 0.09% at z = 1 m and z = 2 m. The effect of the diffraction of radiation field due to the wiggler field errors of ${\Delta}B/B=0.0$ and ${\Delta}B/B=0.09%$ at 200 passes was evaluated by using the extended 3D code that we developed. The variation of the curvature of the phase front and the effect of the radiation field intensity due to the wiggler field errors were also evaluated for B = 0.5 T and B = 0.7 T with the wiggler error of ${\Delta}B/B=0.09%$ at 200 passes and the results were compared to those of without errors. The intensity of the radiation, behavior of the radiation spot size and the variation of the curvature of the phase were highly sensitive to the wiggler error of ${\Delta}B/B$ > 0.09%, but were less sensitive to the wiggler errors for ${\Delta}B/B$ < 0.09% in a free-electron laser (FEL) oscillator based on the proposed FEL facility.

• East Asian mathematical journal
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• 제17권2호
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• pp.197-215
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• 2001

A generalised Taylor series with integral remainder involving a convex combination of the end points of the interval under consideration is investigated. Perturbed generalised Taylor series are bounded in terms of Lebesgue p-norms on $[a,b]^2$ for $f_{\Delta}:[a,b]^2{\rightarrow}\mathbb{R}$ with $f_{\Delta}(t,s)=f(t)-f(s)$.

• 아시안잔디학회지
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• 제10권1호
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• pp.41-47
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• 1996

The theory of slope erosion is developed along similar lines to the theory of heat flow in solid added to the correcting factor. if slope erosion in the forest and grassland proceeds according to the hypothesis, it is $\delta$y $\delta^2$y = k $\delta^2$y $\delta$$X^2$+f(s b. t) where 5 is internal properties of slope soil and b is biota on slope. When the variables of the equation of slope erosion are x = -λ the initial elevation=-f(λ), x=λ, x==a, the steady value of the initial elevation=y, and dy dx x=0> =O(t>o), respectively, the houndary condition due to the solution of the equation of slope erosion is y= 2 √$\pi$kt [∫a o λe $(X-λ)^2$4kt dλ- ∫ao- $(x+λ)^2$4kt dλ] + ∫∫∫ f (s.b. t)dtdbds

• 대한화학회지
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• 제7권4호
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• pp.264-270
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• 1963

前報에서 誘導한 置換基效果 一般關係式은 溶媒組成에 따르는 常數, Y를 potential energy 項에 代置함으로서 solvolysis 反應에 適用할 수가 있다. 新方程式, $\Delta{\Delta}H^\neq=a'Y+b\Delta{\Delta}S^\neq$, 의 適用性은 文獻에 報告된 35個反應에 對한 直線關係를 調査해 봄으로서 檢討하였다. 結果로 平均 相關係數 0.977을 얻었고, 따라서 이 方程式이 solvolysis反應에 一般的으로 適用됨을 밝혔고, 또 Grunwald-Winstein의 式이 지니는 몇몇 難點을 解決할 수가 있음을 알 수 있었다. enthalypy-entopy 直線效果는 外部 enthalpy와 外部 entropy에 限한 것이며, 嚴格히 말해서 外部 enthalpy entropy 直線效果임을 强調하였다.

• 대한수학회보
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• 제53권6호
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• pp.1753-1769
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• 2016

This paper is concerned with the quasilinear $Schr{\ddot{o}}dinger$ system $$(0.1)\;\{-{\Delta}u+a(x)u-{\Delta}(u^2)u=Fu(u,v)+h(x)\;x{\in}{\mathbb{R}}^N,\\-{\Delta}v+b(x)v-{\Delta}(v^2)v=Fv(u,v)+g(x)\;x{\in}{\mathbb{R}}^N,$$ where $N{\geq}3$. The potential functions $a(x),b(x){\in}L^{\infty}({\mathbb{R}}^N)$ are bounded in ${\mathbb{R}}^N$. By using mountain pass theorem and the Ekeland variational principle, we prove that there are at least two solutions to system (0.1).

• 한국안광학회지
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• 제7권2호
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• pp.181-187
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• 2002

수정체는 조절력의 변화에 의해서 곡률이 변화한다. 조절력은 탄성체인 수정체에 힘을 수직으로 주는 경우 정점 방향으로 길이가 늘어난다. 힘을 받는 수정체는 밀도 분포와 형태가 후면에 치우쳐있어, 후면 방향의 수평 힘 보다 전면 방향의 수평 힘이 더 크다. 그러므로 후면 방향 보다 전면 방향의 두께가 더 많아 늘어난다. 그러나 조절력이 일정 값 보다 커지기 시작하면 전면에서는 팽창률이 한계에 도달하다. 이 때 전면 방향의 수평 힘 보다 후면 방향의 수평 힘이 더 커지게 되어, 전면 방향 보다 후면 방향의 두께가 더 많아 늘어난다. 전면과 후면의 두께변화 차이는 조절력에 대해 2차 곡선(${\Delta}=B_1D+B_2D^2$)을 이룬다. 조절력에 따른 전면과 후면의 두께(${\Delta}t_a$, ${\Delta}t_p$) 차이 변화 곡선은 다음과 같이 표현된다. $${\Delta}t_a=t_a-t_{ao}=t_{max}+t_0{\exp}(-A/B)-t_{ao}$$ $${\Delta}t_p=t_p-t_{po}=t_{min}+t_0{\exp}(A/B)-t_{po}$$ 인간의 수정체에서 구한 각각의 Parameter값은 전면에서 $t_{min}=1.1.06$, $t_0=-0.33$, B=9.32, 후면에서 $t_{max}=1.97$, $t_0=0.10$ B=7.96 등을 얻었다. 조절력에 따른 수정체의 전면과 후면에서 정점 곡률 안정의 변화는 다음과 같다. $$R=R_0+R_1{\exp}(D/k)$$ 수정체에서 구한 각각의 Parameter 값은 전면에서 $R_{min}=5.55$, $R_1=6.87$, k=4.65, 후면에서 $R_{max}=-68.6$, $R_1=76.7$, k=308.5 등을 얻었다.

• Progress in Superconductivity
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• 제3권1호
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• pp.31-35
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• 2001

We investigated the temperature and magnetic field dependent optical properties of a$ MgB_2$ thin film in the far-infrared region. In the superconducting state, i.e. 5 K, we obtained the values of superconducting gap $2\Delta$ ~ 5.2 meV and $2\Delta$ $_{k}$ $B/T_{c}$ ~1.8. Although the value of$ 2\Delta$$B/T_{c}$ was nearly half of the BCS value, the $2\Delta$ seemed to follow the temperature dependence of the BCS formula. Under the magnetic field (H), the superconducting state became suppressed. Interestingly, we found that the normal state area fraction abruptly increased at low field but slowly increased at high field. It did not follow the H-dependences predicted for a s-wave superconductor (i.e. a linear dependence) nor for a s-wave one (i.e. $H^{1}$2/ dependence). We discussed the complex gap nature of $MgB_2$ in comparison with two gap and anisotropic s-wave scenarios.ios.