• Journal of applied mathematics & informatics
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• 제18권1_2호
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• pp.25-43
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• 2005

Let F be a finite field of prime power order q(odd) and the multiplicative order of q modulo $2^{n}\;(n>1)\;be\; {\phi}(2^{n})/2$. If n > 3, then q is odd number(prime or prime power) of the form $8m{\pm}3$. If q = 8m - 3, then the ring $R_{2^n} = F[x]/ < x^{2^n}-1 >$ has 2n primitive idempotents. The explicit expressions for these primitive idempotents are obtained and the minimal QR cyclic codes of length $2^{n}$ generated by these idempotents are completely described. If q = 8m + 3 then the expressions for the 2n - 1 primitive idempotents of $R_{2^n}$ are obtained. The generating polynomials and the upper bounds of the minimum distance of minimal QR cyclic codes generated by these 2n-1 idempotents are also obtained. The case n = 2,3 is dealt separately.

• 대한수학회지
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• 제46권5호
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• pp.919-947
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• 2009

In this paper, we give a recursive formula for the Jones polynomial of a 2-bridge knot or link with Conway normal form C($-2n_1$, $2n_2$, $-2n_3$, ..., $(-1)_r2n_r$) in terms of $n_1$, $n_2$, ..., $n_r$. As applications, we also give a recursive formula for the Jones polynomial of a 3-periodic link $L^{(3)}$ with rational quotient L = C(2, $n_1$, -2, $n_2$, ..., $n_r$, $(-1)^r2$) for any nonzero integers $n_1$, $n_2$, ..., $n_r$ and give a formula for the span of the Jones polynomial of $L^{(3)}$ in terms of $n_1$, $n_2$, ..., $n_r$ with $n_i{\neq}{\pm}1$ for all i=1, 2, ..., r.

• 약학회지
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• 제33권4호
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• pp.246-252
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• 1989

2-Amino-1-N-methyl benzamide, 2-N-benzyl amino benzamide, 2-N-phenyl amino benzamide of 2-amino benzamide derivatives were reacted with ${\alpha}-bromo$ acetaldehyde diethyl acetal in basic condition. 2-N-alkylated products were prepared from 2-amino-1-N-methyl benzamide and 2-N-phenyl amino benzamide. 1-N-benzyl-1.4-benzodiazepin-5-one was prerpared from 2-N-benzyl aminobenzamide via intramolecular cyclization. However, 2-amino-1-N-methyl benzamide with sodium amide did not react to 1.4-benzodiazepin-5-one derivative but 3-methyl-quinazoline-2.4-dione was obtained.

• 전기전자학회논문지
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• 제24권4호
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• pp.1117-1121
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• 2020

본 연구에서는, 원자막증착법(ALD) 공정으로 증착된 SnO2 촉매를 AlGaN/GaN 이종접합 FET에 적용하여 NO2 가스 검출이 가능한 것을 확인하였다. AlGaN/GaN-on-si 플랫폼에서 제작 된 HFET 센서로 NO2 100 ppm에 대하여 In-situ SiN이 있는 소자와 없는 소자가 각각 100 ℃, 200 ℃에서 10.1% 및 17.7%, 5.5% 및 38%의 감지성능을 확인하였다.

• 대한수학회지
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• 제45권4호
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• pp.993-1005
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• 2008

Let {$X,\;X_n;n{\geq}1$} be a sequence of i.i.d. random variables. Set $S_n=X_1+X_2+{\cdots}+X_n,\;M_n=\max_{k{\leq}n}|S_k|,\;n{\geq}1$. Then we obtain that for any -1$\lim\limits_{{\varepsilon}{\searrow}0}\;{\varepsilon}^{2b+2}\sum\limits_{n=1}^\infty\;{\frac {(log\;n)^b}{n^{3/2}}\;E\{M_n-{\varepsilon}{\sigma}\sqrt{n\;log\;n\}+=\frac{2\sigma}{(b+1)(2b+3)}\;E|N|^{2b+3}\sum\limits_{k=0}^\infty\;{\frac{(-1)^k}{(2k+1)^{2b+3}$ if and only if EX=0 and $EX^2={\sigma}^2<{\infty}$.

• 대한수학회지
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• 제57권3호
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• pp.707-719
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• 2020

In this article we study almost contact manifolds admitting weakly Einstein metrics. We first prove that if a (2n + 1)-dimensional Sasakian manifold admits a weakly Einstein metric, then its scalar curvature s satisfies -6 ⩽ s ⩽ 6 for n = 1 and -2n(2n + 1) ${\frac{4n^2-4n+3}{4n^2-4n-1}}$ ⩽ s ⩽ 2n(2n + 1) for n ⩾ 2. Secondly, for a (2n + 1)-dimensional weakly Einstein contact metric (κ, μ)-manifold with κ < 1, we prove that it is flat or is locally isomorphic to the Lie group SU(2), SL(2), or E(1, 1) for n = 1 and that for n ⩾ 2 there are no weakly Einstein metrics on contact metric (κ, μ)-manifolds with 0 < κ < 1. For κ < 0, we get a classification of weakly Einstein contact metric (κ, μ)-manifolds. Finally, it is proved that a weakly Einstein almost cosymplectic (κ, μ)-manifold with κ < 0 is locally isomorphic to a solvable non-nilpotent Lie group.

• 한국분말재료학회지
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• 제11권4호
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• pp.294-300
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• 2004

This study for preparation of aluminum nitride (AlN) with high purity was carried out by self-propagating high-temperature synthesis method in two different systems, $Al-N_{2}$ and $Al-N_{2}$-AlN, with the change of nitrogen gas pressure and dilution factor. On the occasion of $Al-N_{2}$ system, unreacted aluminum was detected in the product in spite of high nitrogen pressure, 10 MPa, This may be caused by obstructing nitrogen gas flow to inner part of molten and agglomerate of aluminum, formed in pre-heating zone. In $Al-N_{2}$-AlN system, AlN with a purity of 95% or ever can be prepared in the condition of $f_{Dil}\geq0.5$, $P_{N_{2}}\geq$ 1 MPa, and the purity can be elevated to 98% over in the condition of $f_{Dil}$ = 0.7 and $P_{N_{2}}$ = 10 MPa.

• 한국세라믹학회지
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• 제32권7호
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• pp.809-816
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• 1995

Ti1-xAlxN films were successfully deposited on high speed steel and silicon wafer by plasma-assisted chemical vapor deposition using a TiCl4/AlCl3/N2/Ar/H2 gas mixture. Plasma process enabled N2 gas to nitride AlCl3, which is not possible in sense of thermodynamics. XPS analyses revealed that the deposited layer contained Al-N bond as well as Ti-N bond. Ti1-xAlxN films were polycrystalline and had single phase, B1-NaCl structure of TiN. Interplanar distance, d200, of (200) crystal plane of Ti1-xAlxN was, however, decreased with Al content, x. Al incorporation into TiN caused the grain size to be finer and changed strong (200) preferred orientation of TiN to random oriented microstructure. Those microstructural changes with Al addition resulted in the increase of micro-hardness of Ti1-xAlxN film up to 2800Kg/$\textrm{mm}^2$ compared with 1400Kg/$\textrm{mm}^2$ of TiN.

• 대한화학회지
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• 제53권3호
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• pp.272-278
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• 2009

$Ca^+-(CO)_n$,과 $Ca^+-(CO_2)_n$ (n=1,2) complex에 대한 구조와 결합 에너지를 MP2/6-311++G(2d,p) 방 법과 B3LYP/6-311++G(2d,p) 방법에 의해 계산하였고 vibrational frequencies도 계산하였다. $Ca^+-(CO)_n$의 경우 C-bonded complex와 O-bonded complex가 다 가능함을 보였고, $Ca^+-(CO)_2$에서는 선형과 $C_{2v}$ 형태가 나타남을 볼 수 있었으며 더 안정한 형태는 $C_{2v}$ 구조로 밝혀졌다. $Ca^+-(CO_2)_2$에서도 선형과 $C_{2v}$ 형태를 볼 수 있는데 이 경우는 선형이 근소한 에너지 차이로 더 안정한 것으로 나타났다.

• 청정기술
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• 제17권2호
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• pp.134-141
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• 2011

본 연구에서는 하폐수 탈질 과정에서 전자수용체의 종류와 농도, 전자공여체/전자수용체(C/N)비율, 그리고 전자공여체의 복합도(complexity)가 $N_2O$ 배출에 미치는 영향을 정량적으로 조사하였다. 탈질 질소원의 농도가 높을수록 $N_2O$ 배출량도 증가했으며 ${NO_2}^-$를 이용하는 경우가 ${NO_3}^-$에 비해 $N_2O$ 배출량이 높아 ${NO_2}^-$가 $N_2O$ 배출에 중요한 영향을 미침을 확인하였다. ${NO_2}^-$-N 50 mg/L에서 $N_2O$-N으로의 전환율 9.3%와 수율 9.8%로 가장 높게 나타났으며 ${NO_3}^-$-N은 50 mg/L에서 전환율이 5.6%, 수율은 11.0%로 나타났다. 유기탄소원/질소(C/N) 비율이 감소하면 질소 제거율은 감소하나 $N_2O$로의 전환율은 증가하였다. 실제 하수를 전자공여체로 이용한 경우가 단일 탄소원인 acetate를 이용한 경우에 비해 $N_2O$ 배출량이 1/10 이하로 현저히 감소하였다. 이는 복합 탄소원이 전자공여체로 이용될 경우 단일 탄소원(acetate)에 비해 다양한 탈질 대사(경로)를 이용하고 이것이 $N_2O$ 배출량 저감에 도움이 되는 것으로 판단된다.