• Title/Summary/Keyword: $k_h$

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SPECTRA OF THE IMAGES UNDER THE FAITHFUL $^*$-REPRESENTATION OF L(H) ON K

  • Cha, Hyung-Koo
    • Bulletin of the Korean Mathematical Society
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    • v.22 no.1
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    • pp.23-29
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    • 1985
  • Let H be an arbitrary complex Hilbert space. We constructed an extension K of H by means of weakly convergent sequences in H and the Banach limit. Let .phi. be the faithful *-representation of L(H) on K. In this note, we investigated the relations between spectra of T in L(H) and .phi.(T) in L(K) and we obtained the following results: 1) If T is a compact operator on H, then .phi.(T) is also a compact operator on K (Proposition 6), 2) .sigma.$_{l}$ (.phi.(T)).contnd..sigma.$_{l}$ (T) for any operator T.mem.L(H) (Corollary 10), 3) For every operator T.mem.L(H), .sigma.$_{ap}$ (.phi.(T))=.sigma.$_{ap}$ (T))=.sigma.$_{ap}$ (T)=.sigma.$_{p}$(.phi.(T)) (Lemma 12, 13) and .sigma.$_{c}$(.phi.(T))=.sigma.(Theorem 15).15).

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Synthesis of pH-Sensitive Hydrogel Nanoparticles in Supercritical Carbon Dioxide (초임계 이산화탄소를 이용한 pH 감응성 하이드로젤 입자의 합성)

  • Yang, Juseung;Ryu, Won;Lee, Sangmin;Kim, Kyusik;Choi, Moonjae;Lee, Youngmoo;Kim, Bumsang
    • Korean Chemical Engineering Research
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    • v.47 no.4
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    • pp.453-458
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    • 2009
  • Recently, new methods to synthesize and process polymers without toxic organic solvents are needed in order to solve environmental problems. The use of supercritical carbon dioxide as a solvent for the polymer synthesis is attractive since it is non-toxic, non-flammable, naturally abundant, and the product may be easily separated from the solvent. In this study, we developed the method using super critical $CO_2$ to prepare P(MAA-co-EGMA) hydrogel nanoparticles as an intelligent drug delivery carrier. The effects of concentrations of PtBuMA-PEO as a dispersion stabilizer and AIBN as an initiator on the particle synthesis were investigated. When PtBuMA-PEO concentration increased, the particle size decreased. However, there was no significant difference in the particle size according to the AIBN concentration. There was a drastic change of the equilibrium weight swelling ratio of P(MAA-co-EGMA) hydrogel nanoparticles at a pH of around 5, which is the $pK_a$ of PMAA. At a pH below 5, the hydrogels were in a relatively collapsed state but at a pH higher than 5, the hydrogels swelled to a high degree. In release experiments using Rh-B as a model solute, the P(MAA-co-EGMA) hydrogel nanoparticles showed a pH-sensitive release behavior. At low pH(pH 4.0) a small amount of Rh-B was released while at high pH(pH 6.0) a relatively large amount of Rh-B was released from the hydrogels.

Electrochemical Characteristics of H Adsorption Sites at the Poly-Pt/LiOH Aqueous Electrolyte Interface (다결정 Pt/LiOH 수성 전해질 계면에서 수소 흡착부위의 전기화학적 특성)

  • Chun Jang Ho;Cho Chong Dug
    • Journal of the Korean Electrochemical Society
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    • v.2 no.4
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    • pp.213-217
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    • 1999
  • The electrochemical characteristics of two distinct adsorption sites of H at the polycrystalline Pt/0.2 M LiOH aqueous electrolyte interface have been studied using the phase-shift method. At the forward and backward scans, the under-potentially deposited H (WD H) peak occurs on the cyclic voltammogram. The transition region on the phase-shift profile or the Langmuir adsorption isotherm occurs at ca. -0.66 to -0.96 V vs. SCE. At the transition region (ca. -0.66 to -0.96 V vs. SCE), the equilibrium constant (K) for H adsorption transits from 18.5 to $4.0\times10^{-5}$ and vice versa. Similarly, the standard free energy $({\Delta}G_{ads})$ of H adsorption transits from -7.2 to 25.1kJ/mol and vice versa. The under and over-potentially deposited H (UPD H and OPD H) on the poly-Pt surface act as two distinguishable electroadsorbed H species. An exothermic reaction occurs at the UPD H range. Both the UPD H peak and the transition region are attributed to the two distinct adsorption sites of the UPD H and OPD H on the poly-Pt surface.

SOCLE ELEMENTS OF NON-LEVEL ARTINIAN ALGEBRAS

  • SHIN YONG SU
    • Journal of applied mathematics & informatics
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    • v.17 no.1_2_3
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    • pp.605-614
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    • 2005
  • We show that an Artinian O-sequence $h_0,h_1,{\cdots},h_{d-1},h_d\;=\;h_{d-1},h_{d+l}\;>\;h_d$ of codimension 3 is not level when $h_{d-1}\;=\;h_d\;=\;d + i\;and\;h{d+1}\;=\;d+(i+1)\;for\;i\;=\;1,\;2,\;and\;3$, which is a partial answer to the question in [9]. We also introduce an algorithm for finding noncancelable Betti numbers of minimal free resolutions of all possible Artinian O-sequences based on the theorem of Froberg and Laksov in [2].

Intuitionistic H-Fuzzy Relations (직관적 H-퍼지 관계)

  • K. Hur;H. W. Kang;J. H. Ryou;H. K. Song
    • Proceedings of the Korean Institute of Intelligent Systems Conference
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    • 2003.05a
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    • pp.37-40
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    • 2003
  • We introduce the category IRel (H) consisting of intuitionistic fuzzy relational spaces on sets and we study structures of the category IRel (H) in the viewpoint of the topological universe introduced by L.D.Nel. Thus we show that IRel (H) satisfies all the conditions of a topological universe over Set except the terminal separator property and IRel (H) is cartesian closed over Set.

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Application of Adenovirus-Mediated Human Telomerase Catalytic Subunit(hTERT) Gene Promoter in Ovarian Cancer Gene Therapy

  • Song, Joon-Seok;Yoon, Won-Suck;Lee, Kyu-Wan;Kim, Mee-Hye;Kim, Kyung-Tai;Kim, Hy-Sook;Kim, Young-Tae
    • Journal of Microbiology and Biotechnology
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    • v.13 no.4
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    • pp.517-521
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    • 2003
  • Telomerase is a ribonucleoprotein complex whose function is to add telomeric repeats to chromosomal ends. Telomerase consists of two essential components, telomerase RNA template (hTR) and catalytic subunit (hTERT). hTERT is expressed only in cells and tissues positive for telomerase activity, i.e., tumor and fetal cells. In this report, the possibility of utilization of the hTERT promoter in targeted cancer gene therapy was tested. The hTERT promoter was cloned in the replacement of the CMV promoter, and the HSV-TK gene was subcloned to be controlled by the hTERT gene promoter in the adenovirus shuttle plasmid. Then, the recombinant adenovirus Ad-hT-TK was constructed and was infected into normal and human gynecological cancer cell lines. The selective tumor specific cell death by Ad-hT-TK was identified through these experiments, showing that Ad-hT-TK could be used for targeted cancer gene therapy.

Quantitative Analysis of Paeoniflorin from Paeonia lactiflora Using $^1H-NMR$

  • Yoo, Jong-Su;Song, Myoung-Chong;Ahn, Eun-Mi;Lee, Youn-Hyung;Rho, Yeong-Deok;Baek, Nam-In
    • Natural Product Sciences
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    • v.12 no.4
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    • pp.237-240
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    • 2006
  • Paeoniflorin, the major component of the root of Paeonia lactiflora, was quantitatively analyzed using $^1H-NMR$ spectrometry. The quantity of paeoniflorin was calculated by the ratio of the intensity of the signals (H-9, H-10, H-2', 6') to the aldehyde peak of the known amount of internal standard, 2,4,6-trihydroxybenzaldehyde. These results were compared with the conventional HPLC method. The contents of paeoniflorin in P. lactiflora, which were respectively calculated by H-9, H-10, H-2', 6' in the $^1H-NMR$ spectra and HPLC, were determined $2.60{\pm}0.07,\;2.44{\pm}0.09,\;2.77{\pm}0.12\;and\;2.46{\pm}0.16%$. The advantages of quantitative $^1H-NMR$ analysis are that can be analyzed to identify and quantify, and no reference compounds required for calibration curves. Besides, it allows rapid and simple quantification for paeoniflorin with an analysis time for only 20 min without any preprocessing.