• 대한수학회보
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• 제58권6호
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• pp.1341-1354
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• 2021

Let r ≥ 2, and let k_i ≥ 2 for 1 ≤ i ≤ r. Mixed van der Waerden's theorem states that there exists a least positive integer w = w(k₁, k₂, k₃, …, k_r; r) such that for any n ≥ w, every r-colouring of [1, n] admits a k_i-term arithmetic progression with colour i for some i ∈ [1, r]. For k ≥ 3 and r ≥ 2, the mixed van der Waerden number w(k, 2, 2, …, 2; r) is denoted by w₂(k; r). B. Landman and A. Robertson [9] showed that for k < r < $\frac{3}{2}$(k - 1) and r ≥ 2k + 2, the inequality w₂(k; r) ≤ r(k - 1) holds. In this note, we establish some results on w₂(k; r) for 2 ≤ r ≤ k.

• 한국결정성장학회지
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• 제30권1호
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• pp.17-20
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• 2020

고성능의 산소생성반응(OER)과 수소생성반응(HER) 전기촉매 개발은 수전해 시스템의 상용화에 있어서 매우 중요하게 여겨진다. 특히 HER에 비하여 OER이 상대적으로 높은 과전압을 가지기 때문에, OER의 과전압을 효과적으로 낮추는 촉매를 개발하는 것이 매우 중요하다. 본 연구에서는, 매우 간단한 공정을 통하여 triple perovskite 구조의 Nd_1.5Ba_1.5CoFeMnO_x 전기촉매를 합성하였으며 그 특성을 분석하였다. 합성된 Nd_1.5Ba_1.5CoFeMnO_x는 OER 뿐만 아니라 HER에서도 우수한 특성을 나타내었다. 이러한 결과를 통하여 높은 결정성을 가지는 triple perovskite 구조가 간단한 연소 합성법(combustion synthetic method)을 통하여 합성될 수 있으며 알칼리 전해질 하에서 매우 우수한 촉매특성을 보이는 것을 확인할 수 있었다. 따라서, 높은 OER, HER 특성을 보이는 Nd_1.5Ba_1.5CoFeMnO_x triple perovskite 촉매는 수전해 시스템의 상용화에 큰 기여를 할 수 있을 것으로 판단된다.

• 대한수학회논문집
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• 제36권3호
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• pp.401-411
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• 2021

A Diophantine m-tuple is a set {a₁, a₂, …, a_m} of positive integers such that a_ia_j+1 is a perfect square for all 1 ≤ i < j ≤ m. Let E_k be the elliptic curve induced by Diophantine triple {F_2k, 5F_2k+2, 3F_2k + 7F_2k+2}. In this paper, we find the structure of a torsion group of E_k, and find all integer points on E_k under assumption that rank(E_k(ℚ)) = 1 and some further conditions.

• 한국전기전자재료학회논문지
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• 제19권10호
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• pp.918-922
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• 2006

Chalcogenide Phase change memory has the high performance necessary for next-generation memory, because it is a nonvolatile memory with high programming speed, low programming voltage, high sensing margin, low power consumption and long cycle duration. To minimize the power consumption and the program voltage, the new composition material which shows the better phase-change properties than conventional $Ge_2Sb_2Te_5$ device has to be needed by accurate material engineering. In the present work, we investigate the basic thermal and the electrical properties due to phase-change compared with chalcogenide-based new composition $Ge_1Se_1Te_2$ material thin film and convetional $Ge_2Sb_2Te_5$ PRAM thin film. The fabricated new composition $Ge_1Se_1Te_2$ thin film exhibited a successful switching between an amorphous and a crystalline phase by applying a 950 ns -6.2 V set pulse and a 90 ns -8.2 V reset pulse. It is expected that the new composition $Ge_1Se_1Te_2$ material thin film device will be possible to applicable to overcome the Set/Reset problem for the nonvolatile memory device element of PRAM instead of conventional $Ge_2Sb_2Te_5$ device.

• 한국전기전자재료학회논문지
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• 제18권1호
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• pp.30-37
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• 2005

The microwave dielectric properties and their related structural characteristics in solid solutions of (1-$\chi$) Ba($Mg_{1/3}$Nb$_{2/3}$) $O_3$-$\chi$La(Mg$_{2/3}$Nb$_{1}$3) $O_3$(BLMN) have been investigated by measuring the dielectric constant($\varepsilon$r), Q value and temperature coefficient of resonant frequency($\tau$f) and by observing the crystal structure using high resolution transmission electron microscopy (HRTEM). Microwave dielectric properties showed characteristic features for specific composition. Dielectric constant($\varepsilon$$_{r}$) showed maximum value at the composition which corresponds to the phase boundary between 1 : 2 ordered and 1 : 1 ordered structure. The increase in $\varepsilon$$_{r}$ may be caused by the rattling of ions by incorporating smaller ions and the disordered structure. The variation of temperature coefficient of resonant frequency($\tau$$_{f}$) was investigated in terms of oxygen octahedra tilting.dra tilting.

• 한국수소및신에너지학회논문집
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• 제22권6호
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• pp.759-764
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• 2011

Mixed-conducting oxide powders, $BaCe_{0.9}Y_{0.1}O_{2.95}$ (BCY) and $SrCe_{0.9}Y_{0.1}O_{2.95}$ (SCY) powders have been prepared by a solid-state reaction method. Xray diffraction patterns of the prepared powders showed the sharp peaks of the $BaCe_{0.9}Y_{0.1}O_{2.95}$ and $SrCe_{0.9}Y_{0.1}O_{2.95}$ phases. The oxide powders that were prepared by attrition milling showed rather large particles and severe necking between particles in FE-SEM images as well as residual reactant ($BaCO_3$) and secondary phases ($SrCeO_3$ and $CeO_2$) in XRD patterns. The oxide powders prepared using ball milling showed particles under approximately 500 nm and typical XRD patterns of the $BaCe_{0.9}Y_{0.1}O_{2.95}$ and $SrCe_{0.9}Y_{0.1}O_{2.95}$ phases. Ceramic membranes of the $BaCe_{0.9}Y_{0.1}O_{2.95}$ and $SrCe_{0.9}Y_{0.1}O_{2.95}$ phases were fabricated by the aerosol deposition method using the oxide powders synthesized.

• 한국재료학회지
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• 제21권11호
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• pp.628-633
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• 2011

Studies on lead-free piezoelectrics have been attractive as means of meeting environmental requirements. We synthesized lead-free piezoelectric $(Bi_{1/2}Na_{1/2})TiO_3-Ba(Cu_{1/3}Nb_{2/3})O_3$ (BNT-BCN) ceramics, and their dielectric, piezoelectric, and strain behavior were characterized. As BCN with a tetragonal phase was incorporated into the rhombohedral BNT lattice, the lattice constant increased. A small amount of BCN increased the density and dielectric constant forming the complete solid solution with BNT. However, BCN above 10 mol% was precipitated into a separate phase, and which was detected with XRD. In addition, EDX measurement revealed that Cu in BCN was not distributed homogeneously but was accumulated in a certain area. A lower density with a large amount of BCN was attributed to the nonsinterable property of BCN with large tetragonaliy. The dielectric constant vs the temperature change and the strain vs the electric field indicated that the ferroelectric property of BNT was diminished and paraelectric behavior was enhanced with the BCN addition. BNT-7.5BCN showed a 0.11% unimorph strain with a 9.0 kV/mm electric field with little hysteresis.

• Biomolecules & Therapeutics
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• 제31권2호
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• pp.168-175
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• 2023

Tramadol is an opioid analog used to treat chronic and acute pain. Intradermal injections of tramadol at hundreds of millimoles have been shown to produce a local anesthetic effect. We used the whole-cell patch-clamp technique in this study to investigate whether tramadol blocks the sodium current in HEK293 cells, which stably express the pain threshold sodium channel Na_v1.7 or the cardiac sodium channel Na_v1.5. The half-maximal inhibitory concentration of tramadol was 0.73 mM for Na_v1.7 and 0.43 mM for Na_v1.5 at a holding potential of -100 mV. The blocking effects of tramadol were completely reversible. Tramadol shifted the steady-state inactivation curves of Na_v1.7 and Na_v1.5 toward hyperpolarization. Tramadol also slowed the recovery rate from the inactivation of Na_v1.7 and Na_v1.5 and induced stronger use-dependent inhibition. Because the mean plasma concentration of tramadol upon oral administration is lower than its mean blocking concentration of sodium channels in this study, it is unlikely that tramadol in plasma will have an analgesic effect by blocking Na_v1.7 or show cardiotoxicity by blocking Na_v1.5. However, tramadol could act as a local anesthetic when used at a concentration of several hundred millimoles by intradermal injection and as an antiarrhythmic when injected intravenously at a similar dose, as does lidocaine.

• 대한수학회보
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• 제57권6호
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• pp.1491-1499
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• 2020

We give a strong fundamental domain for the quotient of PGL₂(𝔽_q((t^-1))) by PGL₂(𝔽_q[t]) as a subset of distinct ordered triple points of ℙ¹(𝔽_q((t^-1))).

• 광물과 암석
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• 제34권3호
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• pp.169-176
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• 2021

본 연구는 압력을 이용한 제올라이트 내 중금속 양이온 또는 CO₂ 기체 포집 등의 응용연구를 하기 위한 기초 단계로 제올라이트의 압력 및 압력전달 매개체(Pressure-transmitting medium, PTM)에 따른 결정구조의 변화를 알아보기위한 목적으로 실험을 진행하였다. 천연 제올라이트 멜리노이트(Merlinoite, (K,Ca_0.5,Ba_0.5,Na)₁₀ Al₁₀Si₂₂O₆₄× 22H₂O)와 동일한 골격구조를 가지는 합성 물질인 제올라이트-W(K_6.4Al_6.5Si_25.8O₆₄× 15.3H₂O, K-MER)의 압력 하 압력전달 매개체에 따른 선형 압축률 및 체적 탄성률의 변화에 대한 X선 회절연구를 진행하였다. 합성된 시료는 정방정계에 속하는 I4/mmm 공간군으로 확인되었다. 압력전달 매개체 중 제올라이트의 동공 및 채널을 투과할 수 있는 투과 매개체(Penetrating medium)로 물, 이산화탄소를, 비투과 매개체로 실리콘 오일(Silicone-oil)을 각각 사용하였으며, 상압에서 최대 3 GPa까지 약 0.5 GPa 간격으로 가압하였다. 다이아몬드 고압유도장치 및 방사광 X-선원을 이용하여 압력 하 시료의 분말 회절을 측정하였고, 르바일(Le-Bail)법 및 버치-머내한 상태방정식을 이용하여 격자상수 및 체적탄성률의 변화를 관찰하였다. 모든 실험에서 c축의 선형압축률(𝛽^c)은 0.006(1) GPa^-1또는 0.007(1) GPa^-1의 값을 보여 압력 증가 대비 유사한 압축률을 보인 반면, a축의 압축률(𝛽^a)은 실리콘 오일 실험에서 0.013(1) GPa^-1을 보여 물과 이산화탄소 (𝛽^a=0.006(1) GPa^-1) 실험결과에 비해 압축률이 약 두 배정도 큰 것으로 확인할 수 있었다. 체적탄성률(K₀)은 물, 이산화탄소, 실리콘 오일의 실험에서 각각 50(3) GPa, 52(3) GPa, 29(2) GPa로 도출되었다. 압력 증가에 따른 ac면의 orthorhombicity를 측정한 결과 물과 이산화탄소 실험에서는 0.350~0.353의 비교적 일정한 값을 보였으나, 실리콘 오일의 실험에서는 y = -0.005(1)x + 0.351(1)의 함수를 만족시키며 압력이 증가할수록 값이 점차 작아졌다.