• Korean Journal of Mathematics
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• v.6 no.2
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• pp.221-229
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• 1998

Let $k$ be a real abelian field and $k_{\infty}$ be its $\mathbb{Z}_p$-extension for an odd prime $p$. Let $A_n$ be the Sylow $p$-subgroup of the ideal class group of $k_n$, the $nth$ layer of the $\mathbb{Z}_p$-extension. By using the main conjecture of Iwasawa theory, we have the following: If $p$ does not divide $\prod_{{{\chi}{\in}\hat{\Delta}_k},{\chi}{\neq}1}B_{1,{\chi}{\omega}^{-1}$, then $A_n$ = {0} for all $n{\geq}0$, where ${\Delta}_k=Gal(k/\mathbb{Q})$ and ${\omega}$ is the Teichm$\ddot{u}$ller character for $p$. The converse of this statement does not hold in general. However, we have the following when $k$ is of prime conductor $q$: Let $q$ be an odd prime different from $p$. and let $k$ be a real subfield of $\mathbb{Q}({\zeta}_q)$. If $p{\mid}{\prod}_{{\chi}{\in}\hat{\Delta}_{k,p},{\chi}{\neq}1}B_{1,{\chi}{\omega}}-1$, then $A_n{\neq}\{0\}$ for all $n{\geq}1$, where ${\Delta}_{k,p}$ is the $Gal(k_{(p)}/\mathbb{Q})$ and $k_{(p)}$ is the decomposition field of $k$ for $p$.

• YAKHAK HOEJI
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• v.13 no.1
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• pp.43-46
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• 1969

Five new acyl derivatives of isonicotinic acid hydrazide such as N-(2,4-dichlorophenoxyacetyl)-isoniotinic acid hydrazide (I), N-(p-nitrobenzoyl)-isonicotinic acid hydrazide (II), N-benzoylisonicotinic acid hydrazide (III), N-furoylisonicotinic acid hydrazide (IV) and N-(p-aminobenzoyl)-isonicotinic acid hydrazide (V) were synthesized. They were obtained by the action of 2,4-dichlorophenylacetyl chloride, p-nitrobenzoyl chloride, benzoyl chloride, furoyl chloride and p-aminobenzoyl chloride with isonicotinic acid hydrazide in pyridine solution. Evaluated for their in vitro antitubercular activity against Mycobaterium tuberculosis H$_{37}$ R$_{\upsilon}$ N-furoylisonicotinic acid hydrazide (IV) showed antitubercular activity at 1${\gamma}$/ml.

• Bulletin of the Korean Mathematical Society
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• v.40 no.3
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• pp.537-544
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• 2003

The non-existence is proved of continuous irreducible representations p : Gal(Q/Q) \longrightarrow GL$_2$(F$_{p}$) with Artin conductor N outside p for a few small values of p and N.N.

• Korean Journal of Soil Science and Fertilizer
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• v.18 no.1
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• pp.78-88
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• 1985

Nitrogen fertilizer effectiveness on rice production was studied to evaluate the different forms and sources. Seven kind of nitrogen fertilizers were applied in two levels, 15 and 30 kg per 10a on Jinjubyeo (Japonica type) in silt loam paddy soil of pot cultivation. The results were summerized as follows; 1. pH in soils was decreased with enhancement of ammonium sulfate application in $NH_4-N$, but it was increased with times after nitric-acid application and PH change in soil was not remarkable when $NO_3-N$ with accessory component was applied. 2. $NH_4-N$ contents in soil were the lowest at 2 weeks after application in N 15kg/10a regardless of different sources of nitrogen fertilizer. $NO_3-N$, in N 30kg/10a, was decreased continuously until 4 weeks, while $NH_4-N$, Urea-N were at minimum during 2-3 weeks. 3. Growth of culm length and straw weight applied with AN (Ammonium Nitrate), AS (Ammonium Sulfate) and urea were superior to the form of nitrate. While NA (Nitric Acid), PN (Potassium Nitrate) and CN (Calcium Nitrate) plot of the $NO_3-N$ was the dominant fertilizers for root elongation. 4. Brown rice yields were increased dominantly by $NH_4-N$ application such as AS or AP than $NO_3-N$ pot. But the yields in case of $NO_3-N$ application CN, PN and NA were decreased. 5. N, P, Mg and Mn content of straw ranked the effectiveness of nitrogen forms as $NH_4-N$, Urea-N and $NH_4-N+NO_3-N$, while K, Ca and $SiO_2$ content of straw in $NO_3-N$ fertilizer plot were high while N, P, Mg, Mn, Fe and Mg were low. 6. Increament of nitrogen absorption in straw was stimulated by enhancement of phosphorous absorption and the growth and yield of rice plant were increased. Absorption of N, P, Ca and Mg was decreased by CN application. Absorption of N, P and Mg also was decreased by $NO_3-N$ application and N, P, Mg or Ca content were seemed to simulated the growth and yield of rice plant. 7. $SiO_2$, Zn and Fe contents of the root at harvest stage were higher than those of the straw. N, P, Mg, Mn, Zn and Fe contents were high in $NH_4-N$ and Urea treatment. While K, ca and $SiO_2$ contents, however, were high in $NO_3-N$ treatment.

• Kyungpook Mathematical Journal
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• v.54 no.1
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• pp.95-101
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• 2014

An n-tuple ($a_1,a_2,{\ldots},a_n$) is symmetric, if $a_k$ = $a_{n-k+1}$, $1{\leq}k{\leq}n$. Let $H_n$ = {$(a_1,a_2,{\ldots},a_n)$ ; $a_k$ ${\in}$ {+,-}, $a_k$ = $a_{n-k+1}$, $1{\leq}k{\leq}n$} be the set of all symmetric n-tuples. A symmetric n-sigraph (symmetric n-marked graph) is an ordered pair $S_n$ = (G,${\sigma}$) ($S_n$ = (G,${\mu}$)), where G = (V,E) is a graph called the underlying graph of $S_n$ and ${\sigma}$:E ${\rightarrow}H_n({\mu}:V{\rightarrow}H_n)$ is a function. The restricted super line graph of index r of a graph G, denoted by $\mathcal{R}\mathcal{L}_r$(G). The vertices of $\mathcal{R}\mathcal{L}_r$(G) are the r-subsets of E(G) and two vertices P = ${p_1,p_2,{\ldots},p_r}$ and Q = ${q_1,q_2,{\ldots},q_r}$ are adjacent if there exists exactly one pair of edges, say $p_i$ and $q_j$, where $1{\leq}i$, $j{\leq}r$, that are adjacent edges in G. Analogously, one can define the restricted super line symmetric n-sigraph of index r of a symmetric n-sigraph $S_n$ = (G,${\sigma}$) as a symmetric n-sigraph $\mathcal{R}\mathcal{L}_r$($S_n$) = ($\mathcal{R}\mathcal{L}_r(G)$, ${\sigma}$'), where $\mathcal{R}\mathcal{L}_r(G)$ is the underlying graph of $\mathcal{R}\mathcal{L}_r(S_n)$, where for any edge PQ in $\mathcal{R}\mathcal{L}_r(S_n)$, ${\sigma}^{\prime}(PQ)$=${\sigma}(P){\sigma}(Q)$. It is shown that for any symmetric n-sigraph $S_n$, its $\mathcal{R}\mathcal{L}_r(S_n)$ is i-balanced and we offer a structural characterization of super line symmetric n-sigraphs of index r. Further, we characterize symmetric n-sigraphs $S_n$ for which $\mathcal{R}\mathcal{L}_r(S_n)$~$\mathcal{L}_r(S_n)$ and $$\mathcal{R}\mathcal{L}_r(S_n){\sim_=}\mathcal{L}_r(S_n)$$, where ~ and $$\sim_=$$ denotes switching equivalence and isomorphism and $\mathcal{R}\mathcal{L}_r(S_n)$ and $\mathcal{L}_r(S_n)$ are denotes the restricted super line symmetric n-sigraph of index r and super line symmetric n-sigraph of index r of $S_n$ respectively.

• Bulletin of the Korean Chemical Society
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• v.9 no.3
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• pp.157-160
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• 1988

The rates of hydrolysis of N-(benzenesulfonyl) benzimidoyl chlorides (p-H, $p-CH_3,\;p-CH_3,\;p-NO_2\;and m-NO_2$) have been measured by UV spectrometry in 60% methanol-water at $25^{\circ}C$ and a rate equation which can be applied over wide pH range was obtained. Below pH 7.00, the substituent effect on the hydrolysis rate of N-(benzenesulfonyl) benzimidoyl chloride was found to conform to the Hammett ${\sigma}$ constant with ${\rho}$ = -0.91, whereas above pH 9.00, with ${\rho}$ = 0.94. On the basis of the rate equation obtained and the effect of solvent, substituents and salt, the following reaction mechanism were proposed; below pH 7.00, the hydrolysis of N-(benzenesulfonyl) benzimidoyl chloride proceeds by $S_N1$ mechanism, however, above pH 9.00, the hydrolysis is initiated by the attack of the hydroxide ion and in the range of pH 7.00-9.00, these two reactions occur competitively.

• Kyungpook Mathematical Journal
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• v.64 no.1
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• pp.113-131
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• 2024

In this paper we give conditions for the existence of, and describe the asymtotic behavior of, radial positive solutions of the nonlinear elliptic equation of Emden-Fowler type with convection term ∆_p u + 𝛼|u|^q-1u + 𝛽x.∇(|u|^q-1u) = 0 for x ∈ ℝ^N, where p > 2, q > 1, N ≥ 1, 𝛼 > 0, 𝛽 > 0 and ∆_p is the p-Laplacian operator. In particular, we determine ${\lim}_{r{\rightarrow}}{\infty}\,r^{\frac{p}{q+1-p}}\,u(r)$ when $\frac{{\alpha}}{{\beta}}$ > N > p and $q\,{\geq}\,{\frac{N(p-1)+p}{N-p}}$.

• Proceedings of the Korean Vacuum Society Conference
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• 2000.02a
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• pp.116-116
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• 2000

질화물 반도체는 LED, LD, Transistor, 그리고 Photodetector 등 광소자 및 전자소자를 실현할 수 있는 소재로써 최근에 각광 받고 있으며, 또한 국·내외적으로 연구가 활발히 진행되고 잇다. 질화물 발광 다이오드 제작에는 소자의 효율과 수명시간의 향상을 위하여 질화물 반도체와 금속과의 접합시 고 품질의 오믹 접합이 필수적이다. 특히 p-형 GaN의 경우에는 높은 정공 농도를 갖는 p-형 GaN를 얻기가 어렵고 GaN의 일함수에 비하여 높은 일함수를 갖는 금속이 없기 때문에 매우 낮은 접합 저항을 가지며 안정성이 매우 우수한 금 접합을 얻기가 어렵다고 알려져 있다. 또한, GaN 계열의 발광 다이오드는 일반적으로 표면 발광 다이오드 형태로 제작되기 때문에 p-형 GaN 층의 오믹 접촉으로 사용되는 금속의 전기적 특성뿐만 아니라 발광 다이오드의 활성층에서 발광되어 나오는 빛에 대한 투과도 또한 우수하여야 발광 다이오드의 효율이 우수해진다. 본 연구에서는 p-형 GaN층의 접합 금속으로 Pt(80nm)과 Ni(5nm)/Au(7nm)를 사용하여 InGaN/GaN 다중양자우물 구조의 발광 다이오드를 제작하여 전기적 특성 및 발광효율을 측정하였다. 그리고, Pt(80nm)과 p-형 GaN와의 접합시 온도 변화에 따른 전기적 특성을 TLM 방법으로 조사하고, 가시광선 영역에서의 빛에 대한 투과도를 UV/VIS spectrometer, X-ray reflectivity, 그리고 Atomic Force Microscopy 등을 이용하여 분석하였다.

• Journal of Chest Surgery
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• v.46 no.1
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• pp.49-55
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• 2013

Background: The aim of this study was to determine the survival rate of patients with non-small cell lung cancer (NSCLC) who were preoperatively diagnosed with a negative N2 lymph node, but postoperatively confirmed as a positive N2 node based on a pathological evaluation. Materials and Methods: The hospital records of 248 patients from 1994 to 2009 with resected primary NSCLC who were preoperatively diagnosed with negative N2 lymph node, were retrospectively reviewed. Of these, after surgery, there were 148 (59.7%) patients with pathological N0, 54 (21.8%) with pathological N1 and 46 (18.5%) with pathological N2. Results: The median follow-up period was 24 months (range, 1 to 132 months). The 5-year disease free survival rates were 60% in pN0, 44% in pN1, and 29% in pN2. The 5-year overall survival rates were 63.1% in pN0, 51.9% in pN1, and 33.5% in pN2. There were no statistically significant differences between pN1 and pN2 (p=0.326 and p=0.106, respectively). Thirty-three (71.7%) of the 46 pN2 patients had single-zone metastasis, and 13 patients (28.3%) had multiple-zone metastases over the two nodal zone metastasis. There were no statistical differences in the 5-year disease free survival rate and the 5-year overall survival rates between the two groups. Conclusion: The 5-year disease free survival and the overall survival rate of the patients with unsuspected N2 disease were statistically similar with that of the patients with pathological N1 disease. There was no statistically significant difference between the patients with a single-zone metastasis and a multiple zone metastasis.

• Journal of the Korean Society of Marine Environment & Safety
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• v.28 no.4
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• pp.459-468
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• 2022

Long-term data analyses and bioassay experiments were conducted to assess limiting nutrients in Cheonsu Bay and Taean sea. First, long-term nutrient data (2004-2016) provided by the National Water Quality Monitoring Network were used to assess potential limiting nutrients. Analysis of the long-term data showed that the dissolved inorganic nitrogen/dissolved inorganic phosphate (DIN/DIP) ratio was mostly below 16, with N limitation being dominant. A subsequent analysis using the concentration ratios of N, P, and Si showed that N limitation was dominant during summer and autumn but that Si limitation occasionally occurred during winter and spring in relatively limited areas. However, the dominant limiting nutrient was not determined. The nutrient analysis of the field water collected during the bioassay experiment showed that DIN/DIP revealed P limitation at all stations in March and May, whereas N limitation was dominant in July and October. In the analysis using the concentration ratios of N, P, and Si, P and Si limitation appeared in March and May, but there were points with no dominant limiting nutrient. However, N limitation was dominant in July and October. In the bioassay experiment for assessment of the actual limiting nutrient, the results showed no specific limiting nutrient in March, whereas NH₄⁺ and NO₃^- showed responses in May, July, and October, which confirmed that N was a substantial limiting nutrient directly involved in phytoplankton growth during this period.