• 대한수학회지
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• 제15권1호
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• pp.39-57
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• 1978

It is given in the Lecture Note [1] of Berger, Gauduchon and Mazet that, if ${\pi}$n: (${\tilde{M}}$, ${\tilde{g}}$)${\rightarrow}$(${\tilde{M}}$, ${\tilde{g}}$) is a Riemannian submersion with totally geodesic fibers, ${\Delta}$ and ${\tilde{\Delta}}$ are Laplace operators on (${\tilde{M}}$, ${\tilde{g}}$) and (M, g) respectively and f is an eigenfunction of ${\Delta}$, then its lift $f^L$ is also an eigenfunction of ${\tilde{\Delta}}$ with the common eigenvalue. But such a simple relation does not hold for an eigenform of the Laplace-Beltrami operator ${\Delta}=d{\delta}+{\delta}d$. If ${\omega}$ is an eigenform of ${\Delta}$ and ${\omega}^L$ is the horizontal lift of ${\omega}$, ${\omega}^L$ is not in genera an eigenform of the Laplace-Beltrami operator ${\tilde{\Delta}}$ of (${\tilde{M}}$, ${\tilde{g}}$). The present author has obtained a set of formulas which gives the relation between ${\tilde{\Delta}}{\omega}^L$ and ${\Delta}{\omega}$ in another paper [7]. In the present paper a Sasakian submersion is treated. A Sasakian manifold (${\tilde{M}}$, ${\tilde{g}}$, ${\tilde{\xi}}$) considered in this paper is such a one which admits a Riemannian submersion where the base manifold is a Kaehler manifold (M, g, J) and the fibers are geodesics generated by the unit Killing vector field ${\tilde{\xi}}$. Then the submersion is called a Sasakian submersion. If ${\omega}$ is a eigenform of ${\Delta}$ on (M, g, J) and its lift ${\omega}^L$ is an eigenform of ${\tilde{\Delta}}$ on (${\tilde{M}}$, ${\tilde{g}}$, ${\tilde{\xi}}$), then ${\omega}$ is called an eigenform of the first kind. We define a relative eigenform of ${\tilde{\Delta}}$. If the lift ${\omega}^L$ of an eigenform ${\omega}$ of ${\Delta}$ is a relative eigenform of ${\tilde{\Delta}}$ we call ${\omega}$ an eigenform of the second kind. Such objects are studied.

• 자원환경지질
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• 제43권1호
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• pp.43-52
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• 2010

충북 옥천 지역 천부지하수의 지화학적 특성과 질산염의 기원을 규명하기 위하여 지화학 및 질소동위원소 연구가 수행되었다. 지하수의 pH는 6.9~8.4로 중성 내지 약알칼리성으로 나타났다. 지하수의 전기전도도, 산화환원전위 및 용존산소량은 각각 $344.2\;{\mu}s/cm$, 195 mV, 4 mg/L이다. 채취된 45개의 시료에서 검출되어진 질산성 질소의 농도는 12.4 mg/l~34.2 mg/l 범위를 보이며, 모두 먹는물 수질기준의 10 mg/l를 초과하는 것으로 나타났다. 질산성 질소의 동위원소 분석 결과, $\delta^{15}N-NO_3$는 $2.7^{\circ}/_{\circ\circ}{\sim}18.8^{\circ}/_{\circ\circ}$이다. 이와 같이 지하수내 15N의 부화는 질산성질소의 오염기원이 동물분뇨임을 지시한다. 또한 일부는 탈질화작용이 기여한 것으로 보여진다.

• 환경생물
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• 제30권3호
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• pp.210-218
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• 2012

일반적으로 많이 양식되는 방사무늬김(Porphyra yezoensis Ueda)에 대하여 방사무늬김 엽체의 형태적 특성, 탄소 및 질소 성분의 농도, 안정동위원소 비값, 광합성 효율을 방사무늬김 양식이 이루어 지고 있는 남서해역에서 조사를 하였다. 방사무늬김의 형태적 특성에 대해서 살펴보면 평균 엽장은 11.6~16.3 (13.8) cm, 평균 엽폭은 4.6~6.3 (5.4) cm이었고, 단위면적당 방사무늬김 엽체의 평균 엽중량은 $1.1{\sim}2.6(1.86)g\;DW\;m^{-2}$이었다. 단위면적당 Chl a 농도는 2.18~17.77 (평균 9.65) mg DW Chl a $m^{-2}$이었다. 방사무늬김의 탄소 농도는 $201{\sim}317(240)mg\;DW\;g^{-1}$이었고, 질소 농도는 $39.8{\sim}50.0(43.5)mg\;DW\;g^{-1}$이었으며, C/N비는 5.0~6.7 (5.5)이었다. 방사무늬김의 방사성 안정동위원소비 중에서 탄소 안정동위원소 비는 ${\delta}^{13}C$=-25.6‰ 에서 ${\delta}^{13}C$=-24.0‰ (평균 -24.7‰)의 값을 보였고, 질소 안정동위원소 비는 ${\delta}^{15}N$=1.3‰ 에서 ${\delta}^{15}N$=4.1‰ (평균 2.1‰)의 값을 보였다. PAM에 의한 해조류의 광합성 특성은 광합성 활동의 지시자로서 사용될 수 있다. 우리는 Diving-PAM을 이용하여 각 정점 해조류인 방사무늬김의 광합성율을 분석하였다. 최대양자수율은 0.46~0.55 (평균 0.52)로서 최대 양자수율의 변동은 정점간 큰 차이는 없었다. 최대상대전자전달률은 4.71~5.84 (평균 5.33) ${\mu}mol\;electrons\;m^{-2}\;s^{-1}$ 로서 최대양자수율과 비슷한 분포를 보였다. 기울기 (${\alpha}$)는 0.027~0.045 (평균 0.036)을 보였고, 전자전달을 위한 포화광은 지역에 따라서 일부 차이를 보였으나 $139{\sim}180(156){\mu}mol\;photons\;m^{-2}\;s^{-1}$이었다. 남서해역 방사무늬김 엽체의 탄소 및 질소 농도와 광합성 효율은 지역에 따른 큰 차이는 보이지 않았다. 광합성 특성은 낮은 최대양자수율과 최대 상대전자전달률로 인한 낮은 광합성 효율이 나타났다.

• Journal of Advanced Marine Engineering and Technology
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• 제15권1호
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• pp.51-58
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• 1991

Corrosion fatigue test was performed by the use of plane bending fatigue tester in marine environment having various specific resistance from 25(natural sea water) to 5000.ohm.cm. It is in order to investigate the effects of marine environmental factor on the corrosion fatigue fracture of SS41 steel. The main results obtained are as follows; 1. The aspect ratio(b/a) of corner crack growing in natural sea water is lower than that in air. 2. The surface crack growth rate(da/dN) in marine environment is faster than that in air and da/dN delaies with the specific resistance increased. 3. The experimental constant m of paris rule [da/dN=C(${\delta}$K)$^m$] decrease with the specific resistance decreased and the effect of corrosion in proportion to the specific resistance is more sensitive than that of stress intensity factor range(${\delta}$K) under region II. 4. The accelerative factor(${\alpha}$) in marine environment is about 1.1-2.7 and .alpha. is increase under the low region of stress intensity factor range(${\delta}$K). 5. The electrode potential($E_0$) gets less noble potential with the specific resistance decreased.

• 한국해양공학회:학술대회논문집
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• 한국해양공학회 2000년도 추계학술대회 논문집
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• pp.240-245
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• 2000

Fatigue crack propagation rates and characteristics of the SA516-60 steel which is used for the low temperature pressure vessels, were studied in the room temperature of $25^{\circ}C$ and low temperature ranges of $10^{\circ}C,\; -10^{\circ}C,\; -30^{\circ}C,\; -50^{\circ}C, \;and\; -70^{\circ}C4 with stress ratio of R=0.05. The obtained experimental results are as follows; 1) In the logarithmic relationship between the fatigue crack propagation rate(da/dN) and stress intensity factor K, the linear relationship was obtained up to da/dN 〉$8\times10^{-3}$/mm/cycle in the same of room temperature, but in low temperature case, the relationship was extended to the range of crack propagation rate. 2) The lower limit stress intensity factor of SA516-60 $\DeltaK_{th}$ was 15.8MPa and in the case of low temperature $-50^{\circ}C\; and\; -70^{\circ}C$, the crack propagation rate da/dN which showed a linear relation, reached rapidly to the $\DeltaK_{th}$/. As the results, the crack propagation rates of $-50^{\circ}C\; and\; -70^{\circ}C$ were lower than that of room temperature and according to the testing temperature the rates were decreased rapidly to the $\DeltaK_{th}$/. 3) On the relationship between the stress intensity factor $\DeltaK$ and the crack propagation cycle, the stress intensity factors of low cycle region was rapidly increased at low temperature, but $\DeltaK$ was increased rapidly at room temperature of high cycle. 4) On the relationship between the fatigue crack propagation rate and cycle, the fatigue crack propagation rate showed higher gradient in the room temperature than the low temperature due to the increment in ductility at low temperature.

• Applied Biological Chemistry
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• 제40권1호
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• pp.53-57
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• 1997

중성과 알카리성의 $45^{\circ}C$, 15%(v/v) dioxane 수용액중에서 살충성 imidacloprid (lUPAC:1-(6-chloro-3-pyridylmethyl)-3-N-nitro-iminoimidazolidine-2-ylideneamine)의 가수분해 반응속도 상수를 측정하고 pH-효과, 용매효과(m=0.04, n=0.30 및 m${\ll}$l), 열역학적 활성화 파라미터(${\Delta}S^{\neq}$=-0.03e.u. 및 ${\Delta}S^{\neq}=16.14\;kcal{\cdot}mol^-$), 반응 생성물 분석등의 결과로부터 반응 속도식($K_{obs}=4.56{\times}10^{-3}[OH^-]$)을 유도하여 특정 염기촉매 반응($K_{OH^-}$)으로 사면체($sp^3$) 중간체인 1-(6-chloro-3-pyridylmethyl)-2-hydroxy-2-imidazolidinylisonitraminate(I)을 거쳐 imidazolidine 고리 열림반응으로 $\beta$-3-(6-chloro-3-pyridylmethyl)aminoethyl-1-nitrourea(III)를 경유한 다음에 1-(6-chloro-3-pyridylmethyl)aminoethyl-1-nitrourea(III)으로 분해되는 일련의 친핵성 첨가-제거($Ad_N-E$) 반응메카니즘을 제안하였다. 그리고 $45^{\circ}C$의 중성(pH 8.0)에서 반감기(t1/2)는 약 4.5개월로 잔류성이 큰 화합물임을 알았다.

• Animal cells and systems
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• 제16권2호
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• pp.162-171
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• 2012

We investigated food webs of a $Salix$ $subfragilis$-dominated wetland in the Janghang wetland in the Hangang estuary, which is very close to the Demilitarized Zone, along the west coast of Korea. Our study focused on understanding sesarmine crab ($Sesarma$ $dehaani$)-related food webs in a $S.$ $subfragilis$ forest. For our study, we used carbon and nitrogen stable isotopes and fatty acid biomarkers. We collected samples of plants, animals, and detrital sediment from four quadrats ($5{\times}5m^2$) set in the $S.$ $subfragilis$ community. Samples were collected from September 2006 to June 2009, except during the winter hibernation period of $S.$ $dehaani$. In the wet season, the sediment showed relatively high ${\delta}^{13}C$ and low ${\delta}^{15}N$ signatures compared with relatively low ${\delta}13C$ and high ${\delta}15N$ signatures in the dry season. Mature $S.$ $dehaani$ appeared to feed on fresh leaves and other carbon sources, such as immature individuals or fish, in addition to detrital sediment, which appeared to be the main carbon source for immature crabs. Principal component analysis of fatty acid biomarkers of $S.$ $dehaani$ showed a clear difference between immature individuals (10-30 mm) and mature ones (larger than 30 mm), indicating that the main food source for immature crabs was detrital sediment, whereas mature crabs foraged plants in addition to consuming detrital sediment. On the basis of our results from stable isotope and fatty acid analyses, mature $S.$ $dehaani$ appeared to feed on detrital sediment and fresh leaves of $S.$ $subfragilis$ in summer in addition to engaging in cannibalism of immature individuals.

• 수산해양기술연구
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• 제48권3호
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• pp.256-268
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• 2012

The Nemopilema nomurai is a large jellyfish attaining a weight of 200 kg and bell diameter of 2 m when fully grown. To prevent damage to this species, this study determined the acoustic characteristics of N. nomurai using frequencies 38 and 120 kHz. The CPUE of N. nomurai and the averaged SV of 38 and 120 kHz had a lower (+) correlation coefficient and relationship at 120 kHz (R=0.51) than at 38 kHz (R=0.15) was significant. In addition, the averaged SV at 120 kHz was higher than at 38 kHz. The ${\Delta}MVBS_{120-38}$ in section catches ${\geq}97.8%$ wet mass of N. nomurai was -2.2 to 5.6 dB. The ${\Delta}TS_{120-38}$ in situ TS was extracted in sections catches of only N. nomurai by FMT. It was found that the averaged in situ ${\Delta}TS_{120-38}$ were at 0.6 and 0.1 dB. Furthermore, it results showed a close relationship between the bell diameter and TS of N. nomurai. The dominance of smaller N. nomurai (11.0~20.0 cm bell diameter in the air) corresponded to a similar proportion of low TS values (-69.0~-65.0 dB). A small number of larger N. nomurai (25.0~38.0 cm bell diameter in the air) were collected, in which TS values were the highest (-62.0~-58.0 dB).

• Bulletin of the Korean Chemical Society
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• 제24권3호
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• pp.350-356
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• 2003

The mechanism of the decomposition of a bronchodilator, S-nitroso-N-acetyl-D,L-penicillamine (SNAP) by a bronchoconstrictor, aqueous sulfite, has been investigated in detail. The decomposition was studied using a conventional spectrophotometer at 336 nm over the ranges: 0.010 ≤ $[S^{IV}]_T$ ≤ 0.045 mol $dm^{-3}$, 3.96 ≤ pH ≤ 6.80 and 15.0 ≤ θ≤ 30.0 ℃, 0.60 ≤ I ≤ 1.00 mol $dm^{-3}$, and at ionic strength 1.00 mol $dm^{-3}$ (NaCl). The rate of reaction is dependent on the total sulfite concentration and pH in a complex manner, i.e., $k_{obs}\;=\;k_1K_2[S^{IV}]_T/ ([H^+]\;+\;K_2)$. At 25.0 ℃, the second order rate constant, $k_1$, was determined as $12.5\;{\pm}\;0.15\;mol^{-1}\;dm^3\;s^{-1}$. ${\Delta}H^{neq}\;=\;+32\;{\pm}\;3 kJ\;mol^{-1}\;and\;{\Delta}S^{\neq}\;=\;-138\;{\pm}\;13\;J\;mol^{-1}K^{-1}$. The N-nitrosohydroxylamine-N-sulfonate ion was detected as an intermediate before the formation of any of the by-products, namely, N-acetyl-D,L-penicillamine. The effect of concentration of aqueous copper(Ⅱ) ions on this reaction was also examined at pH 4.75, but there was no dependence on $[Cu^{2+}]$. In addition, the $pK_a$ of SNAP was determined as 3.51 ± 0.06 at 25.4 ℃ [I = 1.0 mol $dm^{-3}$ (NaCl)].

• 자원환경지질
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• 제43권1호
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• pp.1-12
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• 2010

동해안의 후포분지에서 채취한 두 개의 피스톤 코어를 이용하여 후포분지에서의 홀로세 퇴적물 내 유기물의 특징 및 동해 해수면 변화와의 관계를 규명하고자 지화학적 접근을 시도하였다. 채취한 시료에 대한 유기물 성분 분석(TOC와 TN)과 유기물 동위원소($\delta^{13}C_{org}$와 $\delta^{15}N_{org}$) 분석 결과들은 코어와 시료 채취 심도에 따라 분석값들이 특징적으로 변화한다. 코어 08HZP-01에서는 4 mbsf(meter below seafloor)에서 코어 표면까지 비교적 채취 심도가 상부로 갈수록 지화학 분석값들이 점이적으로 증가하지만, 코어 08HZP-03에서는 4.71 mbsf를 기준으로 상부와 하부에서 급격한 지화학 분석값들의 변화가 발생한다. 유기물의 TOC/TN과 $\delta^{13}C_{org}$와 $\delta^{15}N_{org}$의 값을 종합적으로 고려하였을 때, 후포분지의 유기물은 해양 조류 기원이 우세한 집단, $C_3$ 육성 식물 기원이 우세한 집단, 해성/육성 조류와 $C_3$ 육성 식물의 혼합기원이 우세한 집단으로 구분할 수 있다. 이러한 퇴적물 내 유기물의 심도에 따른 특성 및 기원 변화는 주로 홀로세 동해 해류와 해수면 등의 변화에 따른 퇴적환경 변화 (퇴적물 이동 포함)에 기인한 것으로 보인다.