• 대한수학회논문집
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• 제10권1호
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• pp.109-113
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• 1995

For a Hilbert space H, let L(H) denote the algebra of all bounded operators on H. For an $n \in N$, it is well known that any element $T \in L(\oplus^n H)$ is expressed as an $n \times n$ matrix each of whose entries lies in L(H) so that T is written as $$ (1) T = (T_{ij}), i, j = 1, 2, ..., n, T_{ij} \in L(H), $$ where $\oplus^n H$ is the direct sum Hilbert space of n copies of H.

• Korean Journal of Mathematics
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• 제14권2호
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• pp.227-232
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• 2006

We study some dynamical properties in the context of bitransformation groups, and show that if (H,X,T) is a bitransformation group such that (H,X) is almost periodic and (X/H,T) is pointwise almost periodic $T_2$ and $x{\in}X$, then $E_x=\{q{\in}E(H,X){\mid}qx{\in}{\overline{xT}\}$ is a compact $T_2$ topological group and $E_{qx}=E_x(q{\in}E(H,X))$ when H is abelian, where E(H,X) is the enveloping semigroup of the transformation group (H,X).

• Applied Biological Chemistry
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• 제13권3호
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• pp.193-195
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• 1970

선정된 고농도 식염내성 효모의 배양적 일반조건을 검토한 결과는 다음과 같다. (1) $T_3$와 $T_8$는 배지의 식염농도 15%에서 그리고 $T_5\;T_9,\;T_{10}\;T_{11}$ 등은 식염 5%에서 가장잘 생육하였다. (2) $T_3$와 $T_5$는 $30^{\circ}C$에서 그러고 $T_8\;T_{10}\;T_{11}$등은 $25^{\circ}C$, $T_9$은 $35^{\circ}C$에서 각각 최적 배양조건이었다. (3) 이들 효모의 모두가 $58^{\circ}C$, 10분간 처리에 있어서는 생존하였으나 $60^{\circ}C$, 10분간 처리로 사멸되었다. (4) $T_3$와 $T_8$는 pH4.0, $T_5$는 pH6.0, 기타 $T_9,\;T_{10}\;T_{11}$ 등은 pH5.0에서 각각 최적 배양조건이었다.

• 한국자기학회지
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• 제26권3호
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• pp.71-75
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• 2016

단층 $MoS_2$는 1H 상을 가질 때 에너지적으로 가장 안정하다고 알려져 있지만, 전자선 등을 이용하여 에너지를 가하면 1T 상으로 상전이를 일으킬 수 있다. 1T 상도 1H 상과 마찬가지로 상자성 상태가 에너지적으로 안정하지만 1H $MoS_2$에 국소적인 1T 상이 존재하는 구조는 자성을 가질 수 있음을 알았다. 본 연구에서 도입한 ($2{\times}2$) 초격자에 2H와 1T가 3 : 1의 비율로 존재하는 국소 1T 구조 일 때 계산된 자기모멘트는 약 $0.049{\mu}_B/MoS_2$이었으며, 초격자 내의 1T 환경의 Mo 원자가 대부분의 자기모멘트를 기여하는 것으로 나타났다. 따라서 단층 $MoS_2$ 내에 자연스러운 자성/비자성 경계가 생성되므로 단층 $MoS_2$가 스핀트로닉스 소자로 응용 가능할 것으로 기대한다.

• Bulletin of the Korean Chemical Society
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• 제8권2호
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• pp.102-105
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• 1987

2-Methoxy-6-methyl-3,4-dihydro-2H-pyran ($1_a$), 2-ethoxy-3,6-dimethyl-3,4-dihydro-2H-pyran ($1_b$), and 2-ethoxy-3-methyl-6-ethyl-3,4-dihydro-2H-pyran ($1_c$) were prepared by (4 + 2) cycloaddition reaction from the corresponding vinyl ketones and alkyl vinyl ethers. Compounds $1_{a-c}$ were ring-open polymerized by cationic catalyst to obtain alternating head-to-head (H-H) copolymers. For comparison, copolymer of head-to-tail (H-T) was also prepared by free radical copolymerization of the mixture of the corresponding monomers. The H-H copolymer exhibited some differences in its $^1H$ NMR and IR spectra. However, significant differences were showed between the H-H and H-T copolymers in the $^{13}C$ NMR spectra. Also noteworthy was that$T_g$ value of H-H copolymer was higher than that of the corresponding H-T structure. Decomposition temperature of the H-H copolymer was lower than that of the H-T copolymer. All the H-H and H-T copolymers were soluble in common solvents.

• 대한수학회보
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• 제34권1호
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• pp.19-28
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• 1997

Let $H$ and $K$ be separable, complex Hilbert spaces and $L(H, K)$ denote the space of all linear, bounded operators from $H$ to $K$. If $H = K$, we write $L(H)$ in place of $L(H, K)$. An operator $T$ in $L(H)$ is called hyponormal if $TT^* \leq T^*T$, or equivalently, if $\left\$\mid$ T^*h \right\$\mid$ \leq \left\$\mid$ Th \right\$\mid$$ for each h in $H$. In [Pu], M. Putinar constructed a universal functional model for hyponormal operators.

• 충청수학회지
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• 제29권1호
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• pp.177-186
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• 2016

For a map $f:A{\rightarrow}X$, there are concepts of $H^f$-spaces, $T^f$-spaces, which are generalized ones of H-spaces [17,18]. In general, Any H-space is an $H^f$-space, any $H^f$-space is a $T^f$-space. For a principal fibration $E_k{\rightarrow}X$ induced by $k:X{\rightarrow}X^{\prime}$ from ${\epsilon}:PX^{\prime}{\rightarrow}X^{\prime}$, we obtain some sufficient conditions to having liftings $H^{\bar{f}}$-structures and $T^{\bar{f}}$-structures on $E_k$ of $H^f$-structures and $T^f$-structures on X respectively. We can also obtain some results about $H^f$-spaces and $T^f$-spaces in Postnikov systems for spaces, which are generalizations of Kahn's result about H-spaces.

• 한국자기공명학회논문지
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• 제26권1호
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• pp.10-16
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• 2022

The phase transition temperatures of CsCoCl₃·2H₂O crystals are investigated via differential scanning calorimetry (DSC) and thermogravimetric analysis (TGA). Three endothermic peaks at temperatures of 370 K (=T_C1), 390 K (=T_C2), and 416 K (=T_C3) were observed for phase transitions from CsCoCl₃·2H₂O to CsCoCl₃·1.5H₂O, to CsCoCl₃·H₂O, and then to CsCoCl₃·0.5H₂O, respectively. In addition, the spin-lattice relaxation time T_1ρ in the rotating frame and T₁ in the laboratory frame as well as changes in chemical shifts for ¹H and ¹³³Cs near T_C1 were found to be temperature dependent. Our analyses results indicated that the changes of chemical shifts, T_1ρ, and T₁ are associated with structural phase transitions near temperature T_C1. The changes of chemical shifts, T_1ρ, and T₁ near T_C1 were associated with structural phase transitions, owing to the changes in the symmetry of the structure formed of H₂O and Cs⁺ ions. Consequently, the structural symmetry in CsCoCl₃·2H₂O crystals based on temperature is discussed by the environments of their H and Cs nuclei.

• 대한핵의학회지
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• 제12권2호
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• pp.7-16
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• 1978

To elucidate the depaminergic control of T.S.H. secretion, we analized the pattern of T.S.H. secretion in seven normal controls and nine primary hypothyroid subjects, before and after single or combined administration of specific dopaminergic,receptor blocker, metoclopramide, and specific depaminergic receptor stimulant, bromergocryptine(CB-154). The results obtained were as follows: 1) There was a significant rise in T.S.H. levels after intra venous injection of metocloramide (10mg) in hypothyroid subjects. But there was no significant rise in T.S.H. levels in normal controls. The T.S.H. response to metoclopramide varied considerably, being large in mild cases and small in severely hypothyroid subjects. 2) There was a significant fall in T.S.H. levels after oral administration of bromergocryptine (2mg) in hypothyroid subjects, but there was no significant fall in T.S.H. levels in normal controls. 3) There was no significant fluctuation in T.S.H. levels after combined administration of both metoclopramide and bromergocrytine. 4) There was no significant fluctuation in T.S.H. levels after intravenous injection of normal saline(2ml) in both hypothyroid and normal subjects. 5) There was no significant change in serum $T_3\;and\;T_4$ after administration of metoclopramide and and bromergocryptine respectively and serially. These data support the fact that there is a dopaminergic control in the secretion of T.S.H. in the human.

• Journal of Microbiology and Biotechnology
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• 제16권8호
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• pp.1210-1215
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• 2006

The properties related to the temperature and oxygen stability of the cytoplasmic hydrogenases from the fermentative strict anaerobic bacterium, Clostridium butyricum NCIB 9576 (Cl. butyricum), and purple sulfur phototrophic bacterium, Thiocapsa roseopersicina NCIB 8347 (T. roseopersicina), were compared. The optimum temperatures for the growth of Cl. butyricum and T. roseopersicina were 37$^{\circ}C$ and 25$^{\circ}C$, respectively, whereas those for the H$_2$ evolution of the cytoplasmic hydrogenases prepared from Cl. butyricum (C-H$_2$ase) and T. roseopersicina (T-H$_2$ase) were 45$^{\circ}C$ and 65$^{\circ}C$, respectively. The T-H$_2$ase was more thermostable than the C-H$_2$ase and retained its full activity for 5 h at 50$^{\circ}C$ under anaerobic conditions and 90% of its activity at 60$^{\circ}C$, whereas the C-H$_2$ase lost its activity drastically at 50$^{\circ}C$. The optimum pHs for H$_2$ oxidation of the C-H$_2$ase and T-H$_2$ase were 9.0 and 7.5, respectively. Both enzymes showed a maximum H$_2$ evolution activity at pH 7.0. Under aerobic conditions, 80% of the T-H$_2$ase activity was retained for 10 h at 30$^{\circ}C$, and 50% of the activity remained after 6 days under the same experimental conditions. However, the C-H$_2$ase was labile to oxygen and lost its activity immediately on exposure to air. Therefore, these properties of the T-H$_2$ase are expected to be advantageous for application in in vitro biological H$_2$ production systems.