• 제목/요약/키워드: $\beta$-product

검색결과 856건 처리시간 0.026초

Sterols and Sterol Glycosides from Cuscuta Reflexa

  • Anis, E.;Mustafa, G.;Ahmed, S.;Nisarullah, Nisarullah;Malik, A.;Afza, N.;Badar, Y.
    • Natural Product Sciences
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    • 제5권3호
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    • pp.124-126
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    • 1999
  • A new natural product $stigmast-5-en-3-O-{\beta}-D-glucopyranoside$ tetraacetate (1) along with known compounds $stigmast-5-en-3-O-{\beta}-D-glucopyranoside$ (2), stigmast-5-en-3-yl-cetate (3) and ${\beta}-sitosterol$ (4) have been isolated from the stems of Cuscuta reflexa. Their structures were elucidated on the basis of chemical and spectroscopic evidence.

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다구찌의 피드백 제어시스템 내 다수 함수 품질특성 고찰 (Evaluation of Quality Levels with Multiple Probability Distributions Under the Taguchi's Feedback Control System)

  • 송도현;이상헌
    • 경영과학
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    • 제24권1호
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    • pp.77-90
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    • 2007
  • Taguchi assumed that a product characteristic has the uniform distribution in its preventive maintenance limit when deriving the expected loss generated by the quality deviation. But it is reasonable to assume that a product characteristic has the normal distribution than the uniform distribution. On this paper, we first find the optimum inspection interval and the optimum preventive maintenance limit under the truncated triangular distribution. Secondly we use the beta-general distribution and compare with the truncated triangular distribution. By using the numerical examples, we find the optimum inspection interval and the optimum preventive maintenance limit under their distributions. As a result, we find that the beta-general distribution gives the best solution and easy calculation.

PRODUCT AND CONVOLUTION OF CERTAIN UNIVALENT FUNCTIONS

  • Jain, Naveen Kumar;Ravichandran, V.
    • 호남수학학술지
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    • 제38권4호
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    • pp.701-724
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    • 2016
  • For $f_i$ belonging to various subclasses of univalent functions, we investigate the product given by $h(z)=z{\prod_{i=1}^{n}}(f_i(z)/z)^{{\gamma}_i}$.The largest radius ${\rho}$ is determined such that $h({\rho}z)/{\rho}$ is starlike of order ${\beta}$, $0{\leq}{\beta}$ < 1 or to belong to other subclasses of univalent functions. We also determine the sharp radius of starlikeness of order ${\beta}$and other radius for the convolution f*g of two starlike functions f, g.

Digitalis lanata 세포배양에 의한 생물학적 변환에서의 cyclodextrin의 이용 (Utilization of Cyclodextrin in Biotransformation by Digitalis lanata Cell Cultures)

  • 이종은;최연숙;안지은;김동일
    • KSBB Journal
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    • 제13권4호
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    • pp.352-356
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    • 1998
  • Addition of cyclodextrin in the biotransformation of digitoxin into digoxin by Digitalis lanata cell suspension cultures enhanced the conversion yield. Presence of cyclodextrin also supported good stability of the intermediate product, digoxin, for long time. Among several kinds of cyclodextrins, ${\beta}$-cyclodextrin provided the best results. It was found that the optimum form of cyclodextrin utilization was the external addition of iclusion complexes between digitoxin and ${\beta}$-cyclodextrin at 1: 2 molar ratio from the beginning of biotransformation. With the optimized conditions, addition of ${\beta}$-cyclodextrin enhanced the production of digoxin up to 1.55 fold. In this case, not only digitoxin consumption was increased, but also the production of by-product was reduced.

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SUM AND PRODUCT THEOREMS RELATING TO GENERALIZED RELATIVE ORDER (𝛼, 𝛽) AND GENERALIZED RELATIVE TYPE (𝛼, 𝛽) OF ENTIRE FUNCTIONS

  • Biswas, Tanmay;Biswas, Chinmay;Saha, Biswajit
    • 한국수학교육학회지시리즈B:순수및응용수학
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    • 제28권2호
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    • pp.155-185
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    • 2021
  • Orders and types of entire functions have been actively investigated by many authors. In this paper, we investigate some basic properties in connection with sum and product of generalized relative order (𝛼, 𝛽), generalized relative type (𝛼, 𝛽) and generalized relative weak type (𝛼, 𝛽) of entire functions with respect to another entire function where 𝛼, 𝛽 are continuous non-negative functions on (-∞, +∞).

Novel Withanolides from the Flowers of Datura tatula

  • Srivastava, Anjani;Manickam, M.;Sinha-Bagchia, A.;Sinhaa, S.C.;Ray, A.B.
    • Natural Product Sciences
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    • 제2권1호
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    • pp.9-13
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    • 1996
  • Three new withanolides, designated as withatatulins B, C, and D, were isolated from the fresh flowers of Datura tatula Linn. Detailed spectral analysis of these compounds permitted advancement of their structures respectively, as $5{\beta},6{\beta}-epoxy-12{\beta}$,21-dihydroxy-1-oxo-witha-2,24-dienolide (2), $6{\beta},12{\beta},21-trihydroxy-1-oxowitha$ 2, 4,24-trienolide (3) and $5{\beta},6{\beta},12{\beta}$,21-tetrahydroxy-1-oxo-witha-2,24-dienolide (4a). Withanolides with oxygen functions both at 12 and 21-positions are rare and first reported from Datura species.

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Triterpenoid Saponins from Vaccaria segetalis

  • Sang, Shengmin;Lao, Aina;Wang, Hongcheng;Chen, Zhongliang;Uzawa, Jun;Fujimoto, Yasuo
    • Natural Product Sciences
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    • 제4권4호
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    • pp.268-273
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    • 1998
  • Two new triterpenoid saponins, named segetoside D and E, have been isolated from the seeds of Vaccaria segetalis. On the basis of chemical reactions and spectral data, structures of segetoside D and E have been established as: $28-O-[{\beta}-D-xylopyranosyl-(1{\rightarrow}4)-{\alpha}-L-rhamnopyranosyl-(1{\rightarrow}2)]-[5-O-acetyl-{\alpha}-arabinofuranosyl(1{\rightarrow}3)]-[4-O-acetyl-{\beta}-D-fucopyranosyl]-quillaic\;acid-3-O-[{\beta}-D-galactopyranosyl(1{\rightarrow}2)]6-O-methyl\;ester-{\beta}-D-glucuronopyranoside$ and $28-O-[{\beta}-D-xylopyranosyl-(1{\rightarrow}4)-{\alpha}-L-rhamnopyranosyl-(1{\rightarrow}2)]-[5-O-acetyl-{\alpha}-arabinofuranosyl(1{\rightarrow}3)]-[4-O-acetyl-{\beta}-D-fucopyranosyl]-quillaic\;acid\;-3-O-[{\beta}-D-galactopyranosyl(1{\rightarrow}2)]-6-O-n-butyl\;ester-{\beta}-D-glucuronopyranoside$, respectively.

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GROUP ACTIONS ON KAC ALGEBRAS

  • Lee, Jung Rye
    • Korean Journal of Mathematics
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    • 제7권1호
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    • pp.103-110
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    • 1999
  • For a group action ${\alpha}$ on a Kac algebra $\mathbb{K}$ with the crossed product Kac algebra $\mathbb{K}{\rtimes}_{\alpha}G$, we will show that ${\pi}_{\alpha}(\mathbb{K})$ is a sub-Kac algebra of $\mathbb{K}{\rtimes}_{\alpha}G$. We will also investigate the intrinsic group $G(\mathbb{K})$ of $\mathbb{K}$ and get a group action ${\beta}$ on a symmetric Kac algebra $\mathbb{K}_s(G(\mathbb{K})$ with the crossed product sub-Kac algebra $\mathbb{K}_s(G(\mathbb{K}){\rtimes}_{\beta}G$ of $\mathbb{K}{\rtimes}_{\alpha}G$.

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Al-Mg-Si 단조품의 시효 모델 (Aging model for Al-Mg-Si forged part)

  • 권용남;이영선;이정환
    • 한국소성가공학회:학술대회논문집
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    • 한국소성가공학회 2005년도 춘계학술대회 논문집
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    • pp.307-310
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    • 2005
  • Ageing behavior of the Al-Mg-Si alloy was modeled for the use of optimization of Al forging product. Typical precipitates of Al-Mg-Si alloy are a wide variety of metastable phases (e.g. GP zones, $\beta',\beta'$). These rod shaped particles take a role to hinder the dislocation movement. The precipitation sequence in Al-Mg-Si alloys is quite complex and the strength of precipitate particles differs with the ageing condition. In the present study, the ageing behavior of Al-Mg-Si alloy was investigated by using an industrial grade Al 6061 alloy forged product, which was a perform for an Al impeller for turbo charger. The precipitate hardening models by Esmaeili's approach were used for the analysis of ageing behavior.

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