• Title/Summary/Keyword: (p,${\alpha}$)

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Synthesis of $(\pm)-\alpha-Hydroxy-\alpha$-(p-Chlorobiphenyl)Acetic Acid and its Resolution ($(\pm)-\alpha-Hydroxy-\alpha$-(p-Chlorobiphenyl)acetic acid 합성과 분할)

  • 권순경
    • YAKHAK HOEJI
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    • v.39 no.4
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    • pp.433-437
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    • 1995
  • Optically pure(-)-and (+)-$\alpha$-hydroxy-$\alpha$-(p-chlorobiphenyl)acetic acids were prepared. The racemate was synthesized through three steps. By condensation of p-cnorobiphenyl with diethyl ketomalonate in the presence of SnCl$_{4}$, diethyl $\alpha$-hydroxy-$\alpha$-(p-chlorobiphenyl)malonate (1) was formed and subsequently ($\pm$)-$\alpha$-hydroxy-$\alpha$-(p-chlorobiphenyl)acetic acid (3) was obtained through hydrolysis and decarboxylation. For the separation of the racemate the classical resolution method, derivatization of a racemate by reaction with an optically pure compound was employed. In this case the optically pure compound were [R]-(+)-$\alpha$-methylbenzylamine and [S]-(-)-$\alpha$-methylbenzylamine. Diastereomeric salts between acids and bases could be easily separated by crystallization in absolute ethanol.

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SOME RECURRENCE RELATIONS FOR THE JACOBI POLYNOMIALS P(α,β)n(x)

  • Choi, Junesang;Shine, Raj S.N.;Rathie, Arjun K.
    • East Asian mathematical journal
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    • v.31 no.1
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    • pp.103-107
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    • 2015
  • We use some known contiguous function relations for $_2F_1$ to show how simply the following three recurrence relations for Jacobi polynomials $P_n^{({\alpha},{\beta)}(x)$: (i) $({\alpha}+{\beta}+n)P_n^{({\alpha},{\beta})}(x)=({\beta}+n)P_n^{({\alpha},{\beta}-1)}(x)+({\alpha}+n)P_n^{({\alpha}-1,{\beta})}(x);$ (ii) $2P_n^{({\alpha},{\beta})}(x)=(1+x)P_n^{({\alpha},{\beta}+1)}(x)+(1-x)P_n^{({\alpha}+1,{\beta})}(x);$ (iii) $P_{n-1}^{({\alpha},{\beta})}(x)=P_n^{({\alpha},{\beta}-1)}(x)+P_n^{({\alpha}-1,{\beta})}(x)$ can be established.

EMBEDDING OF WEIGHTED $L^p$ SPACES AND THE $\bar{\partial}$-PROBLEM

  • Cho, Hong-Rae
    • East Asian mathematical journal
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    • v.19 no.1
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    • pp.73-80
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    • 2003
  • Let D be a bounded domain in $\mathbb{C}^n$ with $C^2$ boundary. In this paper, we prove the following inequality $${\parallel}u{\parallel}_{p_2,{\alpha}_2}{\lesssim}{\parallel}u{\parallel}_{p_1,{\alpha}_1}+{\parallel}\bar{\partial}u{\parallel}_{p_1,{\alpha}_1+p_1}/2$$, where $1{\leq}p_1{\leq}p_2<\infty,\;{\alpha}_j>0,(n+{\alpha}_1)/p_1=(n+{\alpha}_1)/p_1=(n+{\alpha}_2)/p_2$, and $1/p_2{\geq}1/p_1-1/2n$.

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Production of $C_{21}$-Steroids in Longchin Goby, Chasmichthys dolichognathus during Oocyte Maturation (점망둑(Chasmichthys dolichognathus)의 성숙기 난모세포에서의 $C_{21}$-스테로이드 생성)

  • Baek, Hea-Ja
    • Development and Reproduction
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    • v.12 no.1
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    • pp.107-112
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    • 2008
  • To investigate the $C_{21}$-steroids produced from maturating oocytes in the longchin goby, Chasmichthys dolichognathus, the oocytes ($0.74{\sim}0.97\;mm$) were incubated with radiolabeled $17{\alpha}$-hydroxyprogesterone ($^3H-17{\alpha}OHP$) for 24 hours. The resulting metabolites were analyzed by thin layer chromatography and identified by gas chromatography-mass spectrometry. Two $C_{21}$-steroids, $17{\alpha}$-hydroxy, $20{\alpha}$-dihydroprogesterone ($17{\alpha}20{\alpha}P$) and $17{\alpha}$-hydroxy, $20{\beta}$-dihydroprogesterone ($17{\alpha}20{\beta}P$), were converted from $^3H-17{\alpha}OHP$ in the maturing oocytes. These two main metabolites were detected at 0.80 mm diameter oocytes or greater. In addition, the effects of these metabolites on in vitro germinal vesicle breakdown (GVBD) were tested. The sensitivity of oocytes to the induction of GVBD was greater at $17{\alpha}20{\beta}P$ than $17{\alpha}20{\alpha}P$. This result showed that $17{\alpha}20{\beta}P$ is a major maturation inducing steroid (MIS) in longchin goby, suggesting $17{\alpha}20{\alpha}P$ may play a role in regulating the oocyte maturation process.

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Studies on Chlorinated Tolyl Compounds. (Tolyl계 Chloro 화합물에 관한 연구)

  • 조윤상
    • YAKHAK HOEJI
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    • v.18 no.2
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    • pp.145-156
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    • 1974
  • P, P'-Hexachiorobitolyl, p, p-hexachlorobitolylketone and p, p' hexachlorobitolylthiourea were synthesized by the radical chlorination method of Hass and McBeer. Among these comppounds, l wormicidal activity of p.p'-hexachlorobitolythiourea was much most potent against Clonorchis sinensis than Hetol in vitro. In the process of the p, p'-biolyl chlorination, ${\alpha, \alpha, \alpha}$-trichlorobitolyl was not detected, but small amount of ${\alpha, \alpha, \alpha}$-dichlorobitolyl was detected. This compound was immediately converted bitolyl compounds were analyzed, linear relationship was observed between retention indices and number of chlorine in two series of odd and even numbered chlorine compounds.

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Kinetics and Mechanism of the Hydrolysis of ${\alpha}$-Cyano-${\beta}$-piperonylacrylic Acid (${\alpha}$-Cyano-${\beta}$-Piperonylacrylic Acid의 가수분해 메카니즘과 그의 반응속도론적 연구)

  • Tae Rin Kim;Kwang Il Lee
    • Journal of the Korean Chemical Society
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    • v.17 no.4
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    • pp.269-274
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    • 1973
  • The rate constants of the hydrolysis of ${\alpha}$-Cyano-${\beta}$-piperonylacrylic acid were determined by Ultraviolet spectrophotometry at various pH and a rate equation which can be applied over wide pH range was obtained. The reaction mechanism of hydrolysis of ${\alpha}$-Cyano-${\beta}$-piperonylic acid and especially the catalytic contribution of hydroxide ion which not studied carefully before in acidic media, can be fully explained by the rate equation obtained. The rate equation reveals that; below pH 4.0, the reaction is initiated by the addition of water molecule to ${\alpha}$-Cyano-${\beta}$-piperonyl acrylic acid. At pH $5.0{\sim}7.5$, ${\alpha}$-Cyano-${\beta}$-piperonylacrylic acid compete with ${\alpha}$-Cyano-${\beta}$-piperonyl acrylate ion in adding of water. At pH 8.0, water is the only nucleophile for ${\alpha}$-Cyano-${\beta}$-piperonylacrylate ion, however, above pH 12.0, hydroxide ion is an addendum and the accepter is ${\alpha}$-Cyano-${\beta}$-piperonylacrylate ion.

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Synthetic Studies on the Nucleophilic Addition of Cysteine and Thiophenol to ${\alpha}$,N-Diphenylnitrone Derivatives (${\alpha}$,N-Diphenylnitrone 유도체에 대한 Cysteine 및 Thiophenol의 친핵성 첨가물에 관한 연구)

  • Tae-Rin Kim;Sang-Yong Pyun;Man-So Han;Kwang-Il Lee
    • Journal of the Korean Chemical Society
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    • v.35 no.3
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    • pp.258-261
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    • 1991
  • Four thiazolidines and following five new compounds were prepared by the addition reaction of cysteine and thiophenol to ${\alpha}$,N-diphenylnitrones, respectively ; ${\alpha}$,thiophenoxy-benzylidene aniline ;${\alpha}$,thiophenoxy-p-hydroxybenzylidene aniline ; ${\alpha}$,thiophenoxy-p-chlorobenzylidene aniline ;${\alpha}$,thiophenoxy-p-methoxybenzylidene aniline ; ${\alpha}$,thiophenoxy-p-nitrobenzylidene aniline. The structure of these compounds were confirmed by the elemental analysis, UV-, IR-and NMR-spectra.

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Antioxidant Effects of Ginseng Powder on Liver of $Benzo({\alpha})Pyrene-treated$ Mice (벤조피렌을 투여한 마우스 간에서 인삼 분말의 항산화 효과)

  • Kim, Hyun-Jeong;Hwangbo, Mi-Hyang;Lee, Ji-Won;Im, Hyo-Gun;Lee, In-Seon
    • Korean Journal of Food Science and Technology
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    • v.39 no.2
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    • pp.217-221
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    • 2007
  • In order to determine the effects of ginseng powder on the antioxidant enzyme activities of hepatotoxicity in $benzo({\alpha})pyrene[B({\alpha})P]-treated$ mice, the mice were divided into 5 groups. Ginseng powder was injected intraperitoneally once a day for 5 successive days, followed by the administration of $B({\alpha})P$ treatment on the fifth day. We also evaluated the relationship existing between lipid peroxidation and ginseng powder on oxidative stress. The increased activities of superoxide dismutase, catalase, and glutathione peroxidase observed following $B({\alpha})P-treatment$ were reduced as the result of ginseng powder treatment. Whereas, the glutathione content and glutathione S-transferase activity depleted by $B({\alpha})P$ were increased significantly, but the $B({\alpha})P-associated$ elevation of cytochrome P-450 activities and lipid peroxide content were reduced as the result of ginseng powder treatment. These results indicate that ginseng powder may exert a protective effect against $B({\alpha})P-induced$ hepatotoxicity in mice.

SOME REMARKS ON SKEW POLYNOMIAL RINGS OVER REDUCED RINGS

  • Kim, Hong-Kee
    • East Asian mathematical journal
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    • v.17 no.2
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    • pp.275-286
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    • 2001
  • In this paper, a skew polynomial ring $R[x;\alpha]$ of a ring R with a monomorphism $\alpha$ are investigated as follows: For a reduced ring R, assume that $\alpha(P){\subseteq}P$ for any minimal prime ideal P in R. Then (i) $R[x;\alpha]$ is a reduced ring, (ii) a ring R is Baer(resp. quasi-Baer, p.q.-Baer, a p.p.-ring) if and only if the skew polynomial ring $R[x;\alpha]$ is Baer(resp. quasi-Baer, p.q.-Baer, a p.p.-ring).

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On Quasi-Baer and p.q.-Baer Modules

  • Basser, Muhittin;Harmanci, Abdullah
    • Kyungpook Mathematical Journal
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    • v.49 no.2
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    • pp.255-263
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    • 2009
  • For an endomorphism ${\alpha}$ of R, in [1], a module $M_R$ is called ${\alpha}$-compatible if, for any $m{\in}M$ and $a{\in}R$, ma = 0 iff $m{\alpha}(a)$ = 0, which are a generalization of ${\alpha}$-reduced modules. We study on the relationship between the quasi-Baerness and p.q.-Baer property of a module MR and those of the polynomial extensions (including formal skew power series, skew Laurent polynomials and skew Laurent series). As a consequence we obtain a generalization of [2] and some results in [9]. In particular, we show: for an ${\alpha}$-compatible module $M_R$ (1) $M_R$ is p.q.-Baer module iff $M[x;{\alpha}]_{R[x;{\alpha}]}$ is p.q.-Baer module. (2) for an automorphism ${\alpha}$ of R, $M_R$ is p.q.-Baer module iff $M[x,x^{-1};{\alpha}]_{R[x,x^{-1};{\alpha}]}$ is p.q.-Baer module.