• Journal of the Korean Ceramic Society
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• v.47 no.2
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• pp.117-121
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• 2010

$SnO_2-(1-x)P_2O_5-xB_2O_3$ glass system were prepared by melt-quenching technique in the compositional series containing 50, 55 and 60 mol% of $SnO_2$. Local structure of the glasses was investigated by Raman and FT-IR measurements. A large glass-forming region was found at the phosphate side of the ternary system with homogeneous glasses containing up to 5~25 mol% of $B_2O_3$. According as content of $B_2O_3$ increases, theraml expansion coefficient of glass decreased but transition temperature and softening temperature increased. Because these phenomenon changed local structure of glass. According as content of $B_2O_3$ increases, quantity of bridging oxygen increased. Also, according as content of $SnO_2$ increases, confirmed that quantity of non-bridging oxygen increases.

• Journal of the Korean Mathematical Society
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• v.59 no.3
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• pp.621-634
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• 2022

The scaled inverse of a nonzero element a(x) ∈ ℤ[x]/f(x), where f(x) is an irreducible polynomial over ℤ, is the element b(x) ∈ ℤ[x]/f(x) such that a(x)b(x) = c (mod f(x)) for the smallest possible positive integer scale c. In this paper, we investigate the scaled inverse of (xⁱ - x^j) modulo cyclotomic polynomial of the form Φ_p^s (x) or Φ_p^sq^t (x), where p, q are primes with p < q and s, t are positive integers. Our main results are that the coefficient size of the scaled inverse of (xⁱ - x^j) is bounded by p - 1 with the scale p modulo Φ_p^s (x), and is bounded by q - 1 with the scale not greater than q modulo Φ_p^sq^t (x). Previously, the analogous result on cyclotomic polynomials of the form Φ_2ⁿ (x) gave rise to many lattice-based cryptosystems, especially, zero-knowledge proofs. Our result provides more flexible choice of cyclotomic polynomials in such cryptosystems. Along the way of proving the theorems, we also prove several properties of {x^k}_k∈ℤ in ℤ[x]/Φ_pq(x) which might be of independent interest.

• Journal of the Korean Mathematical Society
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• v.33 no.2
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• pp.291-307
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• 1996

In this paper, we shall show the existence of solutions of the following nonlinear partial differential equation $$ {^{divA(-\Delta u) = f(x, u, \Delta u) in \Omega}^{u = 0 on \partial\Omega} $$ where $f(x, u, \Delta u) = -u$\mid$\Delta u$\mid$^{p-2} + h, p \geq 2, h \in L^\infty$.

• Journal of the Korean Vacuum Society
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• v.3 no.3
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• pp.355-359
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• 1994

Cd1-xCoxIn2Se4(X=0.50) 결정을 수직 Bridgman 방법으로 성장시키고 성장된 결정의 결정구조 및 XPS 특성을 연구하였다. 성장된 결정은 pseudocubic 구조이고 격자상수는 a=5.778$\AA$으로 주어졌다. Cd1-xCoxIn2Se4 결정의 각 성분원소인 cadmium cobalt indium 그리고 selenium에 대한 XPS spectrum으 로부터 결합에너지와 결합상태를 조사하였다. Cd1-xCoxIn2Se4결정과 결합하지 안는 각 성분원소인 cadium cobalt imdium 그리고 selenium에 대한 core level의 XPS spectrum과 비교하면 각 성분원소상 이의 결합에 의한 chemical shift 현상 때문에 core level의 결합에너지가 0.10~4.87 eV 차이가 있다. Cd1-xCoxIn2Se4 결정에서 Co 2P3/2 core level의 주 peak와 statellite peak와의 결합에너지 차이로부터 cadmium과 치화된 cobalt는 Co2+ ion으로 Td symmetry 점에 위치함을 알 수 있다.

• Proceedings of the KIEE Conference
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• 1992.07b
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• pp.803-805
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• 1992

The InP single crystals were grown by Modified Synthesis Solute Diffusion (SSD) method and its properties were investigated. The crystal growth rate and lattice constant $a_{\circ}$ of the grown crystals were 1.8mm/day, 5.867${\AA}$ respectively. Etch pits density along growth direction of crystal had nearly uniformity' about (2-6)x10 $cm^{-2}$ from first freeze part to last freeze part. The carrier concentration, mobility and resistivity varied from 6.25 x $10^{15}cm^{-3}$, 4218 $cm^{2}$/V sec and 1.38 x $10^{-1}{\Omega}^{-cm}$ at the first freeze part to 8.8x$10^{-3}cm^{-3}$, 4012 $cm^{2}$/V.sec and 1.43 X $10^{-1}{\Omega}^{-cm}$ at the last freeze part. In the photoluminescence at 10K, the radiation transitions were observed by the near band edge recombination, D-A pair recombination and its phonon replica in the undoped InP.

• Economic and Environmental Geology
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• v.42 no.5
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• pp.479-486
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• 2009

In natural environments, manganese (Mn) exists in the valence of +2, +3, and +4 and plays a pivotal role as a strong oxidant or reductant in the geochemical cycles of elements. Especially, Mn forms varying (oxyhydr)oxides. The oxidation state of structural Mn is characteristic to each oxide and is one of the most important factors controlling its geochemical behaviors such as solubility, sorption capacity, and redox potential. Therefore, it is important to elucidate processes governing Mn oxidation state in predicting the fate and transport of many redox sensitive elements in the environment. X-ray photoelectron spectroscopy (XPS) is a very useful method to determine the oxidation state of various elements in solid phases. In this study, the oxidation states of structural Mn in MnO, $Mn_2O_3$, $MnO_2$ were assessed based on the binding energy spectra of $Mn2p_{3/2}$ and Mn3s using XPS and were compared with those reported elsewhere. $Mn2p_{3/2}$ binding energies were determined as 640.9, 641.5, 641.8 eV for MnO, $Mn_2O_3$, $MnO_2$, respectively, which indicates that the binding energy increased with increasing Mn oxidation state. It was also noted that Ar etching may cause changes in electronic structure configuration on surface of the original sample.

• Journal of Veterinary Clinics
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• v.21 no.2
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• pp.168-171
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• 2004

The effects of alterations of dose of xylaznie (X) and Zoltil$\circledR$ (TZ) on canine anesthesia were examined. Experimental groups were divided into three (Group 1: X 1.1 mg/kg and TZ 10 mg/kg, Group 2: X 1.65 mg/kg and TZ 7.5 mg/kg, Group 3: X 2.2 mg/kg and TZ 5 mg/kg), and each had 5 dogs. A femoral artery was catheterized for measurement of blood pressure, and baseline value was measured. The dogs were sedated with xylazine intramuscularly, then after 10 minutes TZ were injected intravenously. Mean arterial blood pressures (MAP), duration of analgesia, mean arousal time (MAT) and mean walking time (MWT) after TZ injection were measured, and the depth of analgesia and the quality of recovery were scored. The values of MAP were recorded from the time of pre-xylazine injection to arousal. Duration of analgesia and was assessed by tail clamping test, and which were done at 10 minutes intervals after TZ injection. The decreases of MAP from 40 minutes after TZ injection were significant (p<0.05). In group 2, MAP at 20 minutes, and from 40 minutes to arousal were significantly decreased (p<0.05). In group 3, MAP were significantly decreased from 40 minutes. MAT were 62.2$\pm$9.2 minutes in group 1, 60.2$\pm$7.5 minutes in group 2, and 71.0$\pm$6.9 minutes in group 3. MAT in group 3 was significantly increased compared with group 2 (p<0.05), and the differences of MWT among each groups were not significant (p>0.05). The scores of quality of recovery were significantly lowered in group 3 compared with group 1 or group 2, which means the side effects of recovery were less occurred. Thus, it was considered that the combination X 2.2 mg/kg IM and TZ 5 mg/kg IV is more effective to surgical procedures and to prevent long and rough recovery of Zoletil anesthesia.

• Communications of the Korean Mathematical Society
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• v.26 no.3
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• pp.427-443
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• 2011

In [6, 8], we showed that any ideal of $\mathbb{Z}_4[X]/(X^l\;-\;1)$ is generated by at most two polynomials of the `standard' forms when l is even. The purpose of this paper is to find the `standard' generators of the cyclic codes over $\mathbb{Z}_{p^a}$ of length a multiple of p, namely the ideals of $\mathbb{Z}_{p^a}[X]/(X^l\;-\;1)$ with an integer l which is a multiple of p. We also find an explicit description of their duals in terms of the generators when a = 2.

• Honam Mathematical Journal
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• v.32 no.3
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• pp.467-480
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• 2010

There are various papers on finding all the derivations of a non-associative algebra and an anti-symmetrized algebra (see [2], [3], [4], [5], [6], [10], [13], [15], [16]). We and all the derivations of the growing algebra WN($e^{{\pm}x_1x_2x_3}$, 0, 3)[1] with the set of all right annihilators $T_3$ = $\{id,\;\partial_1,\;\partial_2,\;\partial_3\}$ in the paper. The dimension of $Der_{non}$(WN($e^{{\pm}x_1x_2x_3}$, 0, 3)$_{[1]}$) of the algebra WN($e^{{\pm}x_1x_2x_3}$, 0, 3)$_{[1]}$ is one and every derivation of the algebra WN($e^{{\pm}x_1x_2x_3}$, 0, 3)$_{[1]}$ is outer. We show that there is a class P of purely outer algebras in this work.

• Proceedings of the Korean Powder Metallurgy Institute Conference
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• 2006.09a
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• pp.436-437
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• 2006

The $Ag/TiO_{2-x}N_x$ nanoparticles were synthesized by photochemical deposition in a $TiO_{2-X}N_X$ suspension system. The prepared products were characterized by means of XRD, Uv-vis and photoluminescence spectra (PL). Its photocatalytic activity was investigated by the decomposition of methylene blue (MB) solution under illumination of visible and ultraviolet light, respectively. Compared to $TiO_{2-x}N_x$, the photocatalytic activity of the as-prepared $Ag/TiO_{2-x}N_x$ is obviously enhanced due to the decreasing recombination of a photoexcitated electron-hole pairs. The Mechanism in which photocatalytic activity is enhanced has been discussed in detail.