• 대한수학회지
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• 제40권2호
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• pp.225-239
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• 2003

(G, <) is an ordered group if'<'is a total order relation on G in which f < g implies that xfy < xgy for all f, g, x, y $\in$ G. We say that (G, <) is centrally ordered if (G, <) is ordered and ［G,D］ $\subseteq$ C for every convex jump C $\prec$ D in G. Equivalently, if $f^{-1}g f{\leq} g^2$ for all f, g $\in$ G with g > 1. Every order on a torsion-free locally nilpotent group is central. We prove that if every order on every two-generator subgroup of a locally soluble orderable group G is central, then G is locally nilpotent. We also provide an example of a non-nilpotent two-generator metabelian orderable group in which all orders are central.

• 대한수학회논문집
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• 제34권2호
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• pp.451-464
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• 2019

In the present paper, we find the sharp bound for the fourth coefficient of starlike functions f which are normalized by f(0) = 0 = f'(0) - 1 and satisfy the following two-sided inequality: $$1+{\frac{{\gamma}-{\pi}}{2\;{\sin}\;{\gamma}}}\;<\;{\Re}\{{\frac{zf^{\prime}(z)}{f(z)}}\}\;<\;1+{\frac{{\gamma}}{2\;{\sin}\;{\gamma}}},\;z{\in}{\mathbb{D}}$$, where ${\mathbb{D}}:=\{z{\in}{\mathbb{C}}:{\left|z\right|}<1\}$ is the unit disk and ${\gamma}$ is a real number such that ${\pi}/2{\leq}{\gamma}<{\pi}$. Moreover, the sharp bound for the fifth coefficient of f defined above with ${\gamma}$ in a subset of [${\pi}/2,{\pi}$) also will be found.

• East Asian mathematical journal
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• 제17권2호
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• pp.303-308
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• 2001

Let K($z,\gamma$) denote the euclidean curvature of the curve $\gamma$ at the point z. Flinn and Osgood proved that if f is a univalent mapping of the open unit disk D={z:|z|<1} into itself with f(0)=0 and |f'(0)|<1, then $K(0,\gamma){\leq}K(0,f\;o\;\gamma)$ for any $C^2$ curve $\gamma$ on D through the origin with $K(0,\gamma){\geq}4$. In this paper we establish a generalization of the Flinn-Osgood Monotonicity Theorem.

• 충청수학회지
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• 제23권4호
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• pp.699-704
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• 2010

In this paper, we prove that the Hilbert 2-class field tower of an imaginary quadratic function field $F=k({\sqrt{D})$ is infinite if $r_2({\mathcal{C}}(F))=4$ and exactly one monic irreducible divisor of D is of odd degree, except for one type of $R{\acute{e}}dei$ matrix of F. We also compute the density of such imaginary quadratic function fields F.

• 충청수학회지
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• 제26권4호
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• pp.853-867
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• 2013

In this paper we study the cardinality of the dot product set generated by two subsets of vector spaces over finite fields. We notice that the results on the dot product problems for one set can be simply extended to two sets. Let E and F be subsets of the d-dimensional vector space $\mathbb{F}^d_q$ over a finite field $\mathbb{F}_q$ with q elements. As a new result, we prove that if E and F are subsets of the paraboloid and ${\mid}E{\parallel}F{\mid}{\geq}Cq^d$ for some large C > 1, then ${\mid}{\Pi}(E,F){\mid}{\geq}cq$ for some 0 < c < 1. In particular, we find a connection between the size of the dot product set and the number of lines through both the origin and a nonzero point in the given set E. As an application of this observation, we obtain more sharpened results on the generalized dot product set problems. The discrete Fourier analysis and geometrical observation play a crucial role in proving our results.

• 한국식품과학회지
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• 제15권2호
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• pp.136-140
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• 1983

도정수율별 보리의 수화특성(水和特性)을 $20{\sim}60^{\circ}C$ 범위에서 조사하고 속도론적으로 해석하였다. 흡수량(吸水量)은 수화시간(水和時間)의 평방근에 비례하였으며 흡수양상(吸水樣相)은 흡수량(吸水量) $0.45{\sim}0.55g\;H_2O/g$ solid 이후에서 변화하였다. 수화속도(水和速度)는 도정수율 50>70>95>90%>무도정맥의 순서였으며 수화온도(水和溫度)가 높을수록 증가하였다. 이 때 곡립내부(穀粒內部)로의 물의 확산도(擴散度)는 Arrhenius방정식에 의거하여 변화하였으며 활성화에너지는 도정맥의 경우 $6.9{\sim}9.5Kcal/mole$, 무도정맥의 경우 11.6Kcal/mole이었다.

• 한국자기학회:학술대회 개요집
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• 한국자기학회 2005년도 동계학술연구발표회 및 2차 아시안포럼
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• pp.220-220
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• 2005

• 한국해양학회지:바다
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• 제17권1호
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• pp.1-8
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• 2012

본 연구는 김속식물 3종의 생장과 단포자방출에 미치는 해양심층수의 영향을 구명하기 위하여 수행하였다. 해양 심층수와 표층수는 각각 강원도 고성군 근해와 연안의 수심 600 m와 표층에서 채수하였으며, 김속식물은 강원 연곡에서 오카무라돌김($Porphyra$ $okamurae$), 경남 통영과 남해에서 각각 넓은둥근돌김($P.$ $suborbiculata$ f. $latifolia$)과 큰방사무늬김($P.$ $yezoensis$ f. $narawaensis$)을 채집하였고, 이들 재료로부터 단포자를 채묘하여 실험에 사용하였다. 3종 가운데 넓은둥근돌김의 생장이 가장 빨랐으며 이때의 배양조건은 심층수구의 $15^{\circ}C$, 단일조건(10L:14D)으로 나타났다. 김속식물 3종의 생장은 심층수와 혼합구의 단일 및 $10^{\circ}C$와 $15^{\circ}C$ 조건에서 빠르게 나타났다. 배양중인 엽체로부터의 단포자는 배양 3주 이내에 양광주기하의 $10-25^{\circ}C$에서 모두 방출이 이루어졌다. 이상의 결과로부터 김속식물의 생장과 단포자방출은 표층수보다 심층수에서 빠른 것으로 나타났고, 이 결과를 심층수를 이용한 재배종 개발에 활용할 수 있을 것으로 판단되며 특히 심층수를 방출된 단포자의 배양에 활용할 경우 여름철에도 실내재배가 가능할 것으로 판단된다.

• Asian-Australasian Journal of Animal Sciences
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• 제19권10호
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• pp.1429-1436
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• 2006

Fermentation characteristics, nutrient retention and aerobic stability of barley silages prepared using 6 commercial inoculants were evaluated using 126 mini-silos (3-L) in a completely randomized design. Whole barley forage was chopped, wilted to 39% DM and treated with water (control, S) or one of six inoculants: A (containing Lactobacillus plantarum); B (L. plantarum and Enterococcus faecium); C (L. plantarum and Pediococcus cerevisiae); D (L. plantarum, Pediococcus pentosaceus and Propionibacterium freudenreichii, plus hydrolytic enzymes); E (Lactobacillus buchneri plus hydrolytic enzymes); F (L. buchneri and P. pentosaceus plus hydrolytic enzymes). Samples of treated forage were collected for analysis at the time of ensiling, and then 18 silos of each treatment were filled, capped and weighed. Triplicate silos were weighed and opened after 1, 3, 5, 7, 33, and 61 d. On d 61, $400{\pm}5g$ of material from each silo was placed in 1-L styrofoam containers, covered with cheesecloth and held at room temperature. Silage temperature was recorded hourly for 14 d via implanted thermocouple probes. Chemical composition of the forage at ensiling was consistent with previously reported values. At d 61, pH was lowest (p<0.01) in silage S. Ammonia-N was lower (p<0.05) in silage A than in silages S, B, E, or F. Compared to pre-ensiling values, water soluble carbohydrate concentrations were elevated in silages S, A, B, C and D, and decreased in E and F. Lactic acid concentrations were similar (p>0.10) across treatments. Acetic acid levels were highest (p<0.01) in silage E and lowest (p<0.01) in silage D. Recovery of DM was lower (p<0.01) in silage F than in silages S, A, B, C, or D. On d 61, yeasts were most numerous (p<0.01) in silage D, which was the only silage in which temperature rose more than $2^{\circ}C$ above ambient during aerobic exposure. Silage D also had the highest (p<0.01) pH and ADIN content after aerobic exposure. Lactic acid and WSC content of silage D decreased dramatically during the 14-d aerobic exposure period. Yeast counts (at d 14 of exposure) were lowest (p<0.01) in silages E and F. In general, the commercial inoculants did not appear to enhance the fermentation of barley silage to any appreciable extent in laboratory silos.

• 한국초전도ㆍ저온공학회논문지
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• 제18권2호
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• pp.5-7
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• 2016

We present an experimental investigation of the superconducting transition temperatures, $T_c$, of superconductor/ferromagnet bilayers with varying the thickness of ferromagnetic layer. FeN was used for the ferromagnetic (F) layer, and NbN and Nb were used for the superconducting (S) layer. The results were obtained using three different-thickness series of the S layer of the S/F bilayers: NbN/FeN with NbN thickness, $d_{NbN}{\approx}9.3nm$ and $d_{NbN}{\approx}10nm$, and Nb/FeN with Nb thickness $d_{Nb}{\approx}15nm$. $T_c$ drops sharply with increasing thickness of the ferromagnetic layer, $d_{FeN}$, before maximal suppression of superconductivity at $d_{FeN}{\approx}6.3nm$ for $d_{NbN}{\approx}10nm$ and at $d_{FeN}{\approx}2.5nm$ for $d_{Nb}{\approx}15nm$, respectively. After shallow minimum of $T_c$, a weak $T_c$ oscillation was observed in NbN/FeN bilayers, but it was hardly observable in Nb/FeN bilayers.