• Title/Summary/Keyword: $b_H$

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$L_1$ analytic fourier-feynman transform on the fresnel class of abstract wiener space

  • Ahn, Jae-Moon
    • Bulletin of the Korean Mathematical Society
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    • v.35 no.1
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    • pp.99-117
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    • 1998
  • Let $(B, H, p_1)$ be an abstract Wiener space and $F(B)$ the Fresnel class on $(B, H, p_1)$ which consists of functionals F of the form : $$ F(x) = \int_{H} exp{i(h,x)^\sim} df(h), x \in B, $$ where $(\cdot, \cdot)^\sim$ is a stochastic inner product between H and B, and f is in $M(H)$, the space of complex Borel measures on H. We introduce an $L_1$ analytic Fourier-Feynman transforms for functionls in $F(B)$. Furthermore, we introduce a convolution on $F(B)$, and then verify the existence of the $L_1$ analytic Fourier-Feynman transform for the convolution product of two functionals in $F(B)$, and we establish the relationships between the $L_1$ analytic Fourier-Feynman tranform of the convolution product for two functionals in $F(B)$ and the $L_1$ analytic Fourier-Feynman transforms for each functional. Finally, we show that most results in [7] follows from our results in Section 3.

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Efficient Synthesis of hypho-2,5-$S_2B_7H_{11}$ and Preparation of New nido-, arachno-, and hypho-Metalladithiaborane Clusters Derived from Its Anion hypho-$S_2B_7H_{10}{^-}$

  • 강창환;김성준;고재정;강상욱
    • Bulletin of the Korean Chemical Society
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    • v.16 no.11
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    • pp.1067-1074
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    • 1995
  • Reaction of arachno-S2B7H8- with either THF or 1,2-dimethoxyethane upon refluxing condition results in the formation of the previously known compound hypho-S2B7H10-. Protonation of hypho-S2B7H10- with HCl/Et2O generates hypho-2,5-S2B7H11 in good yield. This hypho-S2B7H10- anion has been employed to generate a series of new nido-, arachno-, and hypho-metalladithiaborane clusters. Reaction of the anion with Cp(CO)2FeCl results in direct metal insertion and the formation of a complex containing the general formula (η5-C5H5)FeS2B7H8. Spectroscopic studies of nido-6-CpFe-7,9-S2B7H8 Ⅰ demonstrated that compound Ⅰ was shown to have an nido-type cage geometry derived from an octadecahedron missing one vertex, with the iron atom occupying the three-coordinate 6-position in the cage and the two sulfurs occupying positions on the open face of the cage. Reaction of hypho-S2B7H10- with CoCl2/Li+[C5H5]- gave the previously known complex arachno-7-CpCo-6,8-S2B6H8 Ⅱ. Also, the reaction of the anion with [Cp*RhCl2]2 gave the complex arachno-7-Cp*Rh-6,8-S2B6H8 Ⅲ, the structure of which was shown to be that of complex Ⅱ. The similarity of the NMR spectra of Ⅱ and Ⅲ suggest that Ⅲ adopts cage structure similar to that previously confirmed for Ⅱ. A series of 9-vertex hypho clusters in which the sulfur atoms are bridged by different species isoelectronic with a BH3 unit, such as HMn(CO)4 or SiR2 have been prepared. Compounds Ⅳ,Ⅴ and Ⅵ are each 2n+4 skeletal electron systems and would be expected according to skeletal electron counting theory to adopt hypho-type polyhedral structures derived from an icosahedron missing three vertices. The complex hypho-1-(CO)4Mn-2,5-S2B6H9 Ⅳ was obtained by the reaction of the anion with (CO)5MnBr and has been shown from spectroscopic data to consist of a (CO)4Mn fragment bound to the two sulfur atoms S2 and S5 of hypho-S2B7H10-. Also, similar hypho-type complexes hypho-1-R2Si-2,5-S2B6H8 (R=CH3 Ⅴ, R=C6H5 Ⅵ) have been prepared from the reaction of hypho-S2B7H10- with R2SiHCl.

New Transition Metal Mediated Alkylation Reaction of arachno-$S_{2}B_{7}H_{8}$, Insertion Reaction of arachno-$S_{2}B_{7}H_{8}^{-}$ with $(CO)_{5}M$ {${C(R_{1})(R_{2})}$} $(M=Cr,\;W;\;R_{1}=CH_{3},\;C_{6}H_{5};\;R_{2}=OCH_{3},\;SC_{6}H{5})$: Synthesis and Characterization of arachno-$4-RCH_{2}-6,8-S_{2}B_{7}H_{8}\;(R=CH_{3},\;IIa;\;C_{6}H_{5},\;IIb)$

  • Hee-Joo Jeon;Jae-Jung Ko;Kang-bong Lee;Sang Ook Kang
    • Bulletin of the Korean Chemical Society
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    • v.14 no.1
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    • pp.113-117
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    • 1993
  • Good yield synthetic routes for the production of new B-alkyl-dithiaborane clusters are reported. The syntheses of the B-alkyl-dithiaboranes are based on the use of Fischer-type carbene reagents to activate the B-H bonds of dithiaborane for alkyl-addition reactions and are the first examples of transition-mediated reactions of dithiaborane to be reported. Thus, reactions employing arachno-$S_2B_7H_8$- and $(CO)_5M{C(R_1)R_2}$ (M = Cr, W; $R_1 = CH_3,\;C_6H_5;\; R_2 = OCH_3,\;SC_6H_5)$ were found to yield the intermidiate anions I, $[(CO)_5M{C(R_1)R_2S_2B_7H_8}]^-$, which upon protonation gave the corresponding neutral, air-sensitive cluster arachno-4-$RCH_2-6,8-S_2B_7H_8(R=CH_3,\;IIa;\;C_6H_5,\;IIb)$ range from 30 to 35% yield. Complexes IIa and IIb are isoelectronic with arachno-6,8-$S_2B_7H_9$ and, on the basis of the spectroscopic data, are proposed to adopt a similar arachno cage geometry in which an $RCH_2$ units are substituted to 4 position boron atom of the arachno-6,8-$S_2B_7H_9$.

Effect of Ethanol on the Protolytic Properties of the Vitamins B Group

  • Ghasemi, J.;Shiri, F.
    • Journal of the Korean Chemical Society
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    • v.51 no.1
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    • pp.21-30
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    • 2007
  • A multiwavelength spectrophotometric titration method was applied to study protolytic constants of four water-soluble vitamins, folic acid(vitamin B9 or B0), thiamine(vitamin B1), riboflavin(vitamin B2) and pyridoxal (vitamin B6) in binary ethanol-water mixtures at 25oC and an ionic strength of 0.1M NaNO3. The protolytic equilibrium constants, spectral profiles, concentration diagrams and also the number of components has been calculated from the curve fitting of the pH-absorbance data with appropriate mass balance equations by an established factor analysis model. DATAN program was used for determination of acidity constant and SPECFIT program was used for calculation of standard deviations and partial correlation coefficients. A glass electrode calibration procedure based on the four parameter equation pH=α+SpcH+JH+[H+]+ JOH-Kw/[H+] based on the Gran,s plots was used to obtain pH-readings in the concentration scale (pcH). The effect of the solvent on the protolytic constants was discussed.

A Study on the Weldability of Magnesium Alloy by Laser Heat Source (II) - Mechanical Properties of laser-welded AZ31B-H24 and AZ31B-O - (레이저 열원을 이용한 마그네슘 합금의 용접성에 관한 연구 (II) - AZ31B-H24 및 AZ31B-O 레이저 용접부의 기계적 특성 -)

  • Lee, Jung-Han;Kim, Jong-Do;Lee, Mun-Yong
    • Journal of Welding and Joining
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    • v.30 no.6
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    • pp.56-61
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    • 2012
  • Magnesium alloy sheet which is commercially available in the market presently is AZ31B, a Mg-Al-Zn three elements alloy. AZ31B is used by being classified into AZ31B-H24 and AZ31B-O depending on temper designation. In this study, AZ31B-H24 and AZ31B-O alloy sheets with 1.25mm thickness were butt-welded using CW Nd:YAG laser. And the effect of materials on mechanical properties was investigated by tensile and hardness tests. As a result of this study, regardless of materials, the butt-welded joint did not show a significant difference in tensile strength and hardness values. However, compared with the basemetal, the AZ31B-O showed more outstanding mechanical properties than AZ31B-H24, and that is because H24 material lost the effect of work hardening during welding.

Activation of NF-${\kappa}B$ in Lung Cancer Cell Lines in Basal and TNF-${\alpha}$ Stimulated States (폐암 세포에서 기저 상태와 TNF-${\alpha}$ 자극 시 NF-${\kappa}B$의 활성화)

  • HwangBo, Bin;Lee, Seung-Hee;Lee, Choon-Taek;Yoo, Chul-Gyu;Han, Sung-Koo;Shim, Young-Soo;Kim, Young-Whan
    • Tuberculosis and Respiratory Diseases
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    • v.52 no.5
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    • pp.485-496
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    • 2002
  • Background : The NF-${\kappa}B$ transcription factors control various biological processes including the immune response, acute phase reaction and cell cycle regulation. NF-${\kappa}B$ complexes are retained in the cytoplasm in the basal state and various stimuli cause a translocation of the NF-${\kappa}B$ complexes into the nucleus where they bind to the ${\kappa}B$ elements and regulate the transcription of the target genes. Recent reports also suggest that NF-${\kappa}B$ proteins are involved in oncogenesis, tumor growth and metastasis. High expression of NF-${\kappa}B$ expression was reported in many cancer cell lines and tissues. The constitutive activation of NF-${\kappa}B$ was also reported in several cancer cell lines supporting its role in cancer development and survival. The anti-apoptotic action of NF-${\kappa}B$ is important for cancer survival. NF-${\kappa}B$ also controls the expression of several proteins that are important for cellular adhesion (ICAM-1, VCAM-1) suggesting a role in cancer metastasis. In lung cancer, high expression levels of the NF-${\kappa}B$ subunit p50 and c-Rel were reported. In fact, high expression does not mean a high activity, and the activation pattern of NF-${\kappa}B$ in lung cancer has not been reported. Materials and Methods : In this study, the NF-${\kappa}B$ nuclear binding activity in the basal and TNF-${\alpha}$ stimulated states were exmined in various lung cancer cell lines and compared with the normal bronchial epithelial cell line. Twelve lung cancer cell lines including the non-small cell and small cell lung cancer cell lines (A549, NCI-H358, NCI-H441, NCI-H552, NCI-H2009, NCI-H460, NCI-H1229, NCI-H1703, NCI-H157, NCI-H187, NCI-H417, NCI-H526) and BEAS-2B bronchial epithelial cell line were used. To evaluate the NF-${\kappa}B$ expression and DNA binding activity, western blot analysis and an electrophoretic mobility shift assay with the nuclear protein extracts. Results : The basal expressions of the p65 and p50 subunits were observed in the BEAS-2B cell line and all lung cancer cell lines except for NCI-H358 and NCI-H460. The expression levels of p65 and p50 were increased 30 minutes after stimulation with TNF-${\alpha}$ in BEAS-2B and in 10 lung cancer cell lines. In the NCI-H358 and NCI-H460 cell lines, p65 expression was not observed in the basal and stimulated states and the two p50 related protein levels were higher after stimulation with TNF-${\alpha}$ These new proteins were smaller than p50 and are thought to be variants of p50. In the basal state, NF-${\kappa}B$ was nearly activated in the BEAS-2B and all lung cancer cell lines. The DNA binding activity of the NF-${\kappa}B$ complexes was markedly higher after stimulation with TNF-${\alpha}$ In the BEAS-2B and all lung cancer cell line except for NCI-H358 and NCI-H460, the activated NF-${\kappa}B$ complex was a p65/p50 heterodimer. In the NCI-H358 and NCI-H460 lung cancer cell lines, the NF-${\kappa}B$ complex was variant of a p50/p50 homodimer. Conclusion : The NF-${\kappa}B$ activation pattern in the lung cancer cell lines and the normal bronchial epithelial cell lines was similar except for the activation of a variant of the p50/p50 homodimer in some lung cancer cell linse.

Synthesis and Tautomerism of Pyrido[2,3-b]pyrazines (Pyriodo[2,3-b]pyrazine류의 합성과 토토머화 현상)

  • Kim, Ho-Sik;Choi, Kyung-Ok;Kurasawa, Yoshihisa
    • Journal of the Korean Chemical Society
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    • v.44 no.5
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    • pp.435-440
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    • 2000
  • The reaction of 2-methoxycarlmethylen-l,2-dihydro-4H-pyrido[2,3-b]pyrazin-3-one(5) with hydrazine hydrate and ethylenediamine gave 2-hydrazinocarbonylmethylene-1,2-dihydro-4H-pyrido[2,3-b]pyrazin-3-one(6) and 2-aminoethylcarbamethylene-1,2-dihydro-4H-pyrido[2,3-b]pyrazin-3-one(7), res-pectively. The reaction of compound 6 or 7 with substituted benzaldehydes or heteroaryl aldehydes afforded pyrido[2,3-b]pyrazines(8-13). Some pyrin the enamine, methylene imine and enaminol forms in solution. The tau-tomer ratios were determined by the H NMR.

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The Characteristic and Formation of Ti(B,N) Films on Steel by EA Hot Filament CVD (EA hot filament CVD system을 이용하여 금형공구강에 증착한 Ti(B,N)박막의 합성과 특성에 관하여)

  • Yoon, Jung-H.;Choi, Yong;Choe, Jean-I.
    • The Transactions of The Korean Institute of Electrical Engineers
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    • v.61 no.4
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    • pp.585-589
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    • 2012
  • The characteristics of interface layer and the effect of mole fraction of inlet gas mixture($B_2H_6/H_2/N_2/TiCl_4$) on the microstructure of Ti(B,N) films were studied by microwave plasma hot filament CVD process. Ti(B,N) films were deposited on a substrate(STD-61) to develop a high performance of resistance wear coating tool. Ti(B,N) films were obtained at a gas pressure of 1 torr, bias voltage of 300 V and substrate temperature of $480^{\circ}C$ in $B_2H_6/H_2/N_2/TiCl_4$gas system. It was found that TiN, $TiB_2$, TiB and hexagonal boron nitride(h-BN) phases exist in thin layer on the STD-61.

Purification of a Mosquitocidal Toxic Protein from B. thuringiensis strain H9B by Immuno-Affinity Chromatography (Immuno-Affinity Chromatography에 의한 B. thuringiensis H9B 균주의 모기살충성 내독소 단백질의 정제)

  • 김광현;배수장;이광배
    • Journal of environmental and Sanitary engineering
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    • v.12 no.2
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    • pp.59-64
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    • 1997
  • For purification of a 70kDa toxic protein of mosquitocidal delta-endotoxin from B. thuringiensis strain H9B, immuno-affinity chromatography was performed. After separation of 70kDa toxic proteins from the delta-endotoxin of the strain H9B on SDS-PAGE, the 70kDa toxic protein was subcutaneously injected into rabbit for making a polyclonal antibody. A anti-70kDa toxic protein was purified by a column chromatography packed with protein A-sepharose 4B gels. The 70kDa toxic protein from delta-endotoxin of the strain H9B was also purified by an immuno-affinity chromatography packed with CNBr-activated sepharose 4B gels conjugated anti-70kDa toxic protein after elution with 1/10M citric acid-1/5M Na$_{2}$HPO$_{4}$ buffer(pH3.2) containing 0.5M NaCl. The 70kDa toxic protein was purified through only one step-separation system, was demonstrated by SDS-PAGE and immunoblot.

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Interspecific Hybridization of the Korean Native Bumblebee Bombus hypocrita sapporoensia and the European Bumblebee B. terrestris

  • Yoon, Hyung-Joo;Park, In-Gyun;Lee, Kyeong-Yong;Kim, Mi-Ae;Jin, Byung-Rae
    • International Journal of Industrial Entomology and Biomaterials
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    • v.23 no.1
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    • pp.167-174
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    • 2011
  • The large bumblebee $Bombus$ $terrestris$, indigenous to Europe and adjacent areas and used extensively for high-value crop pollination, has been artificially introduced to several parts of the world. Here we show the occurrence of interspecific hybridization between the bumblebee species $B.$ $hypocrita$ $sapporoensia$ and $B.$ $terrestris$ under laboratory conditions. The mating and oviposition percentages resulting from the interspecific hybridization of a $B.$ $terrestris$ queen with a $B.$ $h.$ $sapporoensis$ male were higher than those resulting from the intraspecific mating of $B.$ $h.$ $sapporoensis$. Furthermore, a competitive copulation experiment indicated that the mating of $B.$ $h.$ $sapporoensis$ males with $B.$ $terrestris$ queens was 1.2-fold more frequent than the mating of these males with $B.$ $h.$ $sapporoensis$ queens. The interspecific hybridization of a $B.$ $terrestris$ queen with a $B.$ $h.$ $sapporoensis$ male produced either $B.$ $terrestris$ workers or the $B.$ $terrestris$ male phenotype, and the hybridization of a $B.$ $h.$ $sapporoensis$ queen with a $B.$ $terrestris$ male produced $B.$ $h.$ $sapporoensis$ males. Our results indicated that interspecific hybridization occurred between $B.$ $h.$ $sapporoensis$ and $B.$ $terrestris$. These results suggest that such hybridization will have a negative competitive impact and will cause genetic contamination of native bumblebees.