• 한국주조공학회지
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• 제23권3호
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• pp.137-146
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• 2003

The main purpose of this study is to investigate the effects of process parameter on alpha-case formation of Ti and TiAl castings. The previous studies showed that the molten titanium is excessively reactive to the refractory oxide mold, resulting in alpha-caes of the titanium castings regardless of composition of titanium alloys. However, the behavior of the alpha-case formation of TiAl alloy is not consistent with conventional titanium alloy. In order to investigate the alpha-case formation of Ti and TiAl castings with process parameter, especially the associated factors of investment mold such as mold material, binder and mold preheating temperature. An attempt has been made to characterize the alpha-case of titanium casting by using optical microscope, EDS, XRD, EMPA and hardness profiles. The formation of the alpha-case on the surface of pure titanium during investment casting was rather by that of solid solution with metallic element from mold material. The required mold strength was obtained with $CaZrO_3$ because of the possibility of using water soluble binder. However, the separation phenomenon between facing and back-up mold materials should be considered. The interfacial reaction of TiAl alloy showed different behavior from that of pure titanium and $Al_2O_3$ was best mold materials. The effect of binder as well as mold material on the formation of alpha-case was significant.

• 대한수학회보
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• 제59권3호
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• pp.697-707
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• 2022

It is well known that the continued fraction expansion of ${\sqrt{d}}$ has the form $[{\alpha}_0,\;{\bar{{\alpha}_1,\;{\ldots},\;{\alpha}_{l-1},\;2_{{\alpha}_0}}]$ and ${\alpha}_1,\;{\ldots},\;{\alpha}_{l-1}$ is a palindromic sequence of positive integers. For a given positive integer l and a palindromic sequence of positive integers ${\alpha}_1,\;{\ldots},\;{\alpha}_{l-1},$ we define the set $S(l;{\alpha}_1,\;{\ldots},\;{\alpha}_{l-1})\;:=\;\{d{\in}{\mathbb{Z}}{\mid}d>0,\;{\sqrt{d}}=[{\alpha}_0,\;{\bar{{\alpha}_1,\;{\ldots},\;{\alpha}_{l-1},\;2_{{\alpha}_0}}],\;where\;{\alpha}_0={\lfloor}{\sqrt{d}}{\rfloor}\}.$ In this paper, we completely determine when $S(l;{\alpha}_1,\;{\ldots},\;{\alpha}_{l-1})$ is not empty in the case that l is 4, 5, 6, or 7. We also give similar results for $(1+{\sqrt{d}})/2.$ For the case that l is 4, 5, or 6, we explicitly describe the fundamental units of the real quadratic field ${\mathbb{Q}}({\sqrt{d}}).$ Finally, we apply our results to the Mordell conjecture for the fundamental units of ${\mathbb{Q}}({\sqrt{d}}).$

• 한국연소학회:학술대회논문집
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• 한국연소학회 2006년도 제32회 KOSCO SYMPOSIUM 논문집
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• pp.96-104
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• 2006

In the present paper, the effects of combustion instability on flow structure and flame dynamic with the configurations of burner exit in a model gas turbine combustor are investigated using large eddy simulation(LES). A G-equation flamelet model is employed to simulate the unsteady flame behavior. As a result of mean flow field, the change of divergent half angle(${\alpha}$) at burner exit results in variations in the size and shape of the central toroidal recirculation(CTRZ) as well as flame length by changing corner recirculation zone(CRZ). The case of ${\alpha}=45^{\circ}$ show smaller size and upstream location of CTRZ than that of $90^{\circ}$ and $30^{\circ}$ by the development of higher swirl velocity. The flame length in the case of ${\alpha}=45^{\circ}$ is the most shortest, while that in the case of ${\alpha}=30^{\circ}$ is the longest by the decrease of effective reactive area with the absence of CRZ. Through the analysis of pressure fluctuation, it is identified that the case of ${\alpha}=45^{\circ}$ shows the most largest damping effect of pressure oscillation in all configurations and brings in the noise reduction of 2.97dB, comparing with that of ${\alpha}=30^{\circ}$ having the largest pressure oscillation. These reasons are discussed in detail through the analysis of unsteady phenomena about recirculation zone and flame surface. Finally the effects of flame-acoustic interaction are evaluated using local Rayleigh parameter.

• 한국섬유공학회:학술대회논문집
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• 한국섬유공학회 2002년도 봄 학술발표회 논문집
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• pp.5-8
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• 2002

Poly(p-xylylene) (PPX) is most easily prepared by a vapor deposition polymerization (VDP) of [2, 2]paracychophane, as described by Gorham.$^1$ Poly(tetrafluoro-p-xylylene) (F-PPX) is of interest in view of its potential applications as an interlayer dielectric material in high-speed integrated circuits, since it has an extremely low dielectric constant (〈2.35).$^2$ (omitted)

• 대한수학회지
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• 제50권6호
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• pp.1333-1348
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• 2013

Given a faithful flow ${\alpha}$ on a $C^*$-algebra A, when A is ${\alpha}$-simple we will show that the closed subalgebra of A consisting of elements with non-negative Arveson spectra is maximal if and only if the crossed product of A by ${\alpha}$ is simple. We will also show how the general case can be reduced to the ${\alpha}$-simple case, which roughly says that any flow with the above maximality is an extension of a trivial flow by a flow of the above type in the ${\alpha}$-simple case. We also propose a condition of essential maximality for such closed subalgebras.

• 한국소성가공학회:학술대회논문집
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• 한국소성가공학회 1997년도 고액공존금속의 성형기술 심포지엄
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• pp.183-195
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• 1997

The micorstructural characteristics, particularly $\alpha$-halo formation, in semi-solid state processed hypereutectic Al-Si alloy was investigated. The microstructural changes during reheating of wedge type mold cast ingot, hot-rolled sheet, and Si particulate reinforced Al composite was compared with those occurred during stirring of semi-solid state hypereutectic alloy. In the case of semi-solid state reheating of wedge type ingot and hot-rolled sheet, fine particles of Si as well as $\alpha$-halo formed after heat treatment. Although there seemed to be no coarsening with variations of holding time, the region of $\alpha$-halo decreased due to homogenization. Nucleation and recrystallization was accelerated with the addition of alloying elements during hot rolling resulting in primary Si particle size decrease and $\alpha$-halo formation. In the case of extruded specimens, very little morphological change of reinforcing Si particles was observed. Almost no $\alpha$-halo formed during reheating because of the oxide film formed on the reinforcing Si particles which acted as a diffusion barrier between the matrix and the primary Si particles.

• 한국식품조리과학회지
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• 제14권5호
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• pp.560-565
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• 1998

The purpose of this study was to investigate any differences in the efficiency of various antioxidants for the three types of substrates such as corn oil in water (O/W) emulsion, water in com oil (W/O) emulsion, and bulky corn oil. ${\alpha}$-Tocopherol (${\alpha}$-Toc) at 0.01 or 0.02%, ascorbic acid (AsA), ascorbyl palmitate (AP), and BHT at 0.02% were added separately to the prepared O/W emulsion, W/O emulsion, and bulk oil, and their antioxidative effects were compared. The mixture of ${\alpha}$-Toc ind AsA or AP at the level of 0.02% also was tested to observe any synergistic effect. Oxidation was made by storing at 42${\pm}$1$^{\circ}C$ for 25 days and the oxidative stability was determined by peroxide value and conjugated dienoic acid with time fluctuation of storage. The results were as follows: 1. In case of O/W emulsion, the order of antioxidative effect was AP> ${\alpha}$-Toc+AP>${\alpha}$-Toc+AsA>AsA>BHT. 2. In case of W/O emulsion, the order of antioxidative effect was AsA>AP>${\alpha}$-Toc+AsA>BHT. ${\alpha}$-Toc+AP mixture showed the prooxidant effect rather than synergistic effect. 3. In case of bulk oil, the order of antioxidative effect was AsA>AP>${\alpha}$-Toc+AsA>${\alpha}$-Toc+AP\ulcornerBHT. Therefore, AsA, a hydrophilic antioxidant, was more effective in W/O emulsion system than in O/W emulsion system, while the opposite trend was found in AP, a lipophilic antioxidant. AsA, a hydrophilic antioxidant, was more efficient in bulk oil of anhydrous substrate. ${\alpha}$-Toc showed prooxidant effects in all substrates.

• 한국안광학회지
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• 제8권1호
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• pp.53-57
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• 2003

5분 간격으로 착색시간을 증가시켜 R, G, Y, B칼라렌즈를 제작하였다. 색 좌표 분석은 분광측색계와 CIE $L^*a^*b^*$ color system를 사용하였다. 착색 시간에 따른 색좌표 이동 형태는 $b^*(Y-B)={\beta}a^*+{\alpha}$이며, 거의 선형적으로 변하였다. 적색의 경우 착색시간이 길수록 $G{\rightarrow}R$, $B{\rightarrow}Y$ 형태로 이동하고, Parameter ${\alpha}$, ${\beta}$ 값은 각각 -3.49, 0.90을 얻었다. 녹색의 경우 색좌표 이동은 $R{\rightarrow}G$, $B{\rightarrow}Y$ 형태이다. 10분의 착색 시간에서 가장 순수한 녹색 칼라를 얻었다. Parameter ${\alpha}$, ${\beta}$값은 각각 -0.72, -0.55을 얻었다. 황색과 청색의 경우 모두 착색 시간이 길수록 순수한 색이 된다. 황색에서 Parameter ${\alpha}$, ${\beta}$값은 각각 14.11, 1.58이고, 청색에서 Parameter ${\alpha}$, ${\beta}$값은 각각 -11.62, 1.30을 얻었다.

• 호남수학학술지
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• 제41권2호
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• pp.269-284
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• 2019

The object of the paper is to investigate almost alpha-cosymplectic (${\kappa},{\mu},{\nu}$) spaces. Some results on almost alpha-cosymplectic (${\kappa},{\mu},{\nu}$) spaces with certain conditions are obtained. Finally, we give an example on 3-dimensional case.

• 약학회지
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• 제39권4호
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• pp.433-437
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• 1995

Optically pure(-)-and (+)-$\alpha$-hydroxy-$\alpha$-(p-chlorobiphenyl)acetic acids were prepared. The racemate was synthesized through three steps. By condensation of p-cnorobiphenyl with diethyl ketomalonate in the presence of SnCl$_{4}$, diethyl $\alpha$-hydroxy-$\alpha$-(p-chlorobiphenyl)malonate (1) was formed and subsequently ($\pm$)-$\alpha$-hydroxy-$\alpha$-(p-chlorobiphenyl)acetic acid (3) was obtained through hydrolysis and decarboxylation. For the separation of the racemate the classical resolution method, derivatization of a racemate by reaction with an optically pure compound was employed. In this case the optically pure compound were [R]-(+)-$\alpha$-methylbenzylamine and [S]-(-)-$\alpha$-methylbenzylamine. Diastereomeric salts between acids and bases could be easily separated by crystallization in absolute ethanol.