• East Asian mathematical journal
• /
• v.31 no.1
• /
• pp.103-107
• /
• 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.

• Culinary science and hospitality research
• /
• v.19 no.3
• /
• pp.218-233
• /
• 2013

This study used SPSSS 18.0 on 237 university students in Busan for frequency, factorial and reliability, correlation, and regression analyses to determine the effect relationship of coffee shop service quality on perceived value and behavioral intention. Multiple regression analysis for hypothesis testing showed that among the four service quality factors, confidence in employees and primary coffee quality had a non-significant effect on esthetic value, while menu characteristics besides coffee (${\beta}$=.293, p<.001) and physical environment (${\beta}$=.293, p<.001) were analyzed to be significant, partially supporting the study hypothesis. Regarding the effect of service quality on practical value, confidence in employees (${\beta}$=.264 p<.001), primary coffee quality (${\beta}$=.463, p<.001), menu characteristics besides coffee (${\beta}$=.139, p<.05) and physical environment (${\beta}$=.110, p<.05) were all significantly analyzed, supporting the study hypothesis. Regarding the effect of service quality on behavioral intention, confidence in employees (${\beta}$=.262 p<.001), primary coffee quality (${\beta}$=.411, p<.001), menu characteristics besides coffee (${\beta}$=.157, p<.01) and physical environment (${\beta}$=.137, p<.05) were all significantly analyzed, supporting the study hypothesis. In addition, regarding the effect of perceived value on behavioral intention, esthetic value (${\beta}$=.265, p<.001) and practical value (${\beta}$=.536, p<.001) were both significantly analyzed, showing a causal relationship with behavioral intention.

• Honam Mathematical Journal
• /
• v.1 no.1
• /
• pp.1-9
• /
• 1979

Positive Local Coordmate($(x^1,x^2,{\cdots}x^n)$)을 갖는 Oriented Manifold M을 생각한다. M이 Compact Carrier를 갖는 경우, M위의 n차(次) Differential Form ${\phi}^{(n)}$의 적분(積分)을 $${\int}{\phi}^{(n)}=\sum_{\alpha}{\int}_{-{\infty}}^{\infty}{\cdots}{\int}_{-{\infty}}^{\infty}f_{\alpha}{\phi}^{(n)}dx^1{\cdots}dx^n$$로 정의(定義)하며 (정의(定義) 7), M위의 p 차(次)의 Differential form $\beta^{(p)}$와 Differential simplex $S^{(p)}=(S^{(p)},\;{\pi},\;{\varepsilon})$에 대하여 $S^{(p)}$위의 $\beta^{(p)}$의 적분(積分)을 $${\int}_{^{(p)}S}{\beta}^{(p)}={\int}_{S^{(p)}}{\varepsilon}{\pi}^*{\beta}^{(p)}={\int}_{E^p}f{\cdot}{\varepsilon}{\cdot}{\pi}^*{\beta}^{(p)}$$로 정의(定義)한다 (정의(定義) 9). 단(但) $\bar{S}^{(p)}$는 $S^{(p)}=(p_0{\cdot}p_1{\cdots}p_p)$에 의(依)하여 Spanning 되는 $E^p$의 Subspace이고 f는 $\bar{S}^{(p)}$의 특성함수(特性函數)이다. 이때 (n-1)차(次)의 Differential Form ${\beta}^{(n-1)}$이 Compart인 Carrier를 가지면 ${\int}d{\beta}^{(n-1)}=0$이 됨을 고찰(考察)하며(정리(定理 8), (p-1)차(次) Differential Form ${\beta}^{(p-1)$과 p차(次) Differential Chain $C^{(p)}$에 관(關)하여 $${\int}_{C^{(p)}}d{\beta}^{(p-1)}={\int}_{{\partial}C^{(p)}}{\beta}^{(p-1)}$$이 성립(成立)함을 구명(究明)하려 한다(정리(定理) 10).

• Microbiology and Biotechnology Letters
• /
• v.20 no.6
• /
• pp.647-654
• /
• 1992

In order to study the physiological properties of the intestinal bacteria, we isolated the intestinal bacteria of Koreans and tested the enzymatic patterns. Isolated Bifidobacterium sp. Int-57 had the higher activity of $\alpha$-glucosidase, $\beta$-glucosidase, $\alpha$-galactosidase, $\beta$-galactosidase. $\beta$-xylosidase and $\alpha$-arabinofuranosidase than other intestinal microorganisms. The effect of the carbon sources on the production of each enzymes of Bijidobacterium sp. Int-57 was investigated. The most suitable carbon source for the production of $\beta$-glucosidase was maltose, for a-glucosidase cellobiose, for $\alpha$-galactosidase raffinose, for $\beta$-galactosidase lactose, and for $\beta$-xylosidase and $\alpha$-arabinofuranosidase xylose, respectively. In addition, we investigated the optimal conditions and pH stability of each crude enzymes. The optimal condition of a-glucosidase was pH 6.0 and $40^{\circ}C$. that of Jj-glucosidase pH 7.0 and 50oe, that of $\beta$-galactosidase pH 7.0 and $50^{\circ}C$, that of $\beta$-xylosidase pH 6.0 and $40^{\circ}C$ , and that of $\alpha$-arabinofuranosidase pH 5.0 and $50^{\circ}C$. respectively. a-Glucosidase was stable at pH 4.0-9.0. Jj-glucosidase at pH 4.0-7.0. $\beta$-galactosidase at pH 4.0-9.0, $\beta$-xylosidase at pH 4.0-6.0, and /3-arabinofuranosidase at pH 7.0-9.0, respectively.

• Korean Journal of Microbiology
• /
• v.51 no.1
• /
• pp.68-74
• /
• 2015

Based on the genomic analysis of Thermococcus pacificus P-4, we identified a putative GH1 ${\beta}$-glucosidase-encoding gene (Tpa-glu). The gene revealed a 1,464 bp encoding 487 amino acid residues, and the deduced amino acid residues exhibited 77% identity with Pyrococcus furiosus ${\beta}$-glucosidase (accession no. NP_577802). The gene was cloned and expressed in Escherichia coli system. The recombinant protein was purified by metal affinity chromatography and characterized. Tpa-Glu showed optimum activity at pH 7.5 and $75^{\circ}C$, and thermostability with a half life of 6 h at $90^{\circ}C$. Tpa-Glu exhibited hydrolyzing activity against various pNP-glycopyranosides, with kcat/Km values in the order of pNP-${\beta}$-glucopyranoside, pNP-${\beta}$-galactopyranoside, pNP-${\beta}$-mannopyranoside, and pNP-${\beta}$-xylopyranoside. In addition, the enzyme exhibited exo-hydrolyzing activity toward ${\beta}$-1,3-linked polysaccharide (laminarin) and ${\beta}$-1,3- and ${\beta}$-1,4-linked oligosaccharides. This is the first description of an enzyme from hyperthermophilic archaea that displays exo-hydrolyzing activity toward ${\beta}$-1,3-linked polysaccharides and could be applied in combination with ${\beta}$-1,3-endoglucanase for saccharification of laminarin.

• Microbiology and Biotechnology Letters
• /
• v.37 no.2
• /
• pp.99-104
• /
• 2009

The $\beta$-glucosidase gene from Streptomyces coelicolor A3(2) was cloned and expressed in Escherichia coli. The ORF consisted of 1377 nucleotides encoding 51 kDa in a predicted molecular weight. Effects of pH indicated that the $\beta$-glucosidase showed similar activity using $\alpha$-pNPG($\rho$-nitrophenyl-$\alpha$-D-glucopyranoside), $\beta$-pNPG($\rho$-nitrophenyl-$\beta$-D-glucopyranoside), and $\beta$-pNPF($\rho$-nitrophenyl-$\beta$-D-fucopyranoside) at range of pH 3 to 10, and high activity using $\beta$-pNPGA ($\rho$-nitrophenyl-$\beta$-D-galactopyranoside) from pH 5 to 10, especially, 3.3 times higher activity at pH 9. Effects of temperature indicated that the $\beta$-glucosidase showed low activity using $\alpha$-pNPG, $\beta$-pNPG, and $\beta$-pNPF from $20^{\circ}C$ to $70^{\circ}C$, and increased activity using $\beta$-pNPGA from $30^{\circ}C$ to $50^{\circ}C$, 1.8 times higher activity at $50^{\circ}C$ than at $30^{\circ}C$. According to activity determination of other substrates, the enzyme was active on daidzin, genistin, and glycitin, inactive on esculin and apigenin-7-glucose. The EDTA and DTT as reducing agents inhibited $\beta$-glucosidase activity, but SDS and mercaptoethanol did not inhibit. Monovalent or divalent metal ions such as $MnSO_4$, $CaCl_2$, KCl, and $MgSO_4$ did not inhibited $\beta$-glucosidase activity. $CuSO_4$ and NaCl showed low inhibition, and $ZnSO_4$ inhibited 3.3 times higher than control.

• Journal of the Korean Chemical Society
• /
• v.17 no.4
• /
• pp.269-274
• /
• 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.

• Journal of the Korean Mathematical Society
• /
• v.60 no.1
• /
• pp.195-212
• /
• 2023

In this paper, two weight conditions are introduced and the multiple weighted strong and weak characterizations of the multilinear fractional new maximal operator 𝓜_ϕ,β are established. Meanwhile, we introduce the ${\mathcal{S}}_{({\vec{p}},q),{\beta}}({\varphi})$ and $B_{({\vec{p}},q),{\beta}}({\varphi})$ conditions and obtain the characterization of two-weighted inequalities for 𝓜_ϕ,β. Finally, the relationships of the conditions ${\mathcal{S}}_{({\vec{p}},q),{\beta}}({\varphi}),\,{\mathcal{A}}_{({\vec{p}},q),{\beta}}({\varphi})$ and $B_{({\vec{p}},q),{\beta}}({\varphi})$ and the characterization of the one-weight $A_{({\vec{p}},q),{\beta}}({\varphi})$ are given.

• Korean Journal of Agricultural Science
• /
• v.3 no.2
• /
• pp.160-169
• /
• 1976

Monotupenes of the oleoresin of P. densiflora S. et Z., P. densi-thunber gii Uyeki, P. thunbergii Parl., and P. densiflora for. erecta Uyeki of the subgenus Diploxylon of the genus Pinus in Korea were analysed by means of gas liquid chromatography, and following results were obtained. Monoterpene of P. densiflora, P. densi-thunbergii, P. thunbergii, and P. densiflora for. erecta consisted of ${\alpha}$-pinene, camphene, ${\beta}$-pinene, myrcene, limonene, ${\beta}$-phellandrene, terpinolene and two unknown components. Major monoterpene components of P. densiflora and it's for. erecta were ${\alpha}$-pinene, ${\beta}$-phellandrene, myrcene, and terpinolene. Major monoterpene components of P. densi-thunbergii were ${\beta}$-pinene, ${\beta}$-phellandrene, ${\alpha}$-pinene, and terpinolene. Major monoterpene components of P. thunbergii were ${\beta}$-pinene, ${\alpha}$-pinene, ${\beta}$-phellandre, and limonene. Monoterpene components in P. densiflora, P. densi-thunbergii, P. thundergii, and P.densiflora for, erecta showed a range of variation by the individual trees. Monoterpene contents of P. densi-thunbergii were intermediate between those of P. densiflora and P. thunbergii. ${\alpha}$-pinene, ${\beta}$-pinene, and myrcene appeared to be the best taxonomio characteristics for separating P. densiflora from P. thunbergii, and the former had higher content of ${\alpha}$-pinene than ${\beta}$-pinene while those of the latter were vise versa. There was a significant difference of ${\alpha}$-pinene components of P. densiflora between that of Anmyun Island and Mt. Chiak, but it seemed to be caused by the difference of the individual trees rather than provenancial difference.

• Journal of Microbiology and Biotechnology
• /
• v.10 no.5
• /
• pp.638-642
• /
• 2000

A ${\beta}-glycosidase$ enzyme with $\beta$-D-fucosidase, ${\beta}-D-galactosidase$, and $\beta$-D-glucosidase activities has been purified from Thermus caldophilus GK24. The enzyme was monomeric with a molecular mass of 49 kDa, as evidenced by SDS-PAGE. The $K_m$ values for p-nitrophenyl ${\beta}-D-fucopyranoside$ (p-NPFuc), p-nitrophenyl ${\beta}-D-galactopyranoside$ (p-NPGal), and p-nitrophenyl ${\beta}-D-glucopyranoside$ (p-NPGlu) were 0.23 mM, 6.25 mM, and 0.28 mM, respectively. The enzyme showed optimal pH ranging between 5.5-6.5 and maximum temperature in the range of $85-90^{\circ}C$ for all the above mentioned activities. The half-life of the enzyme in sodium phosphate buffer (pH 6.0) at $80^{\circ}C$ was approximately 7 h. The p-NPGal hydrolyzing activity of Tca ${\beta}-glycosidase$ was strongly activated by L-histidine, while the p-NPFuc and p-NPGlu hydrolyzing activities of Tca ${\beta}-glycosidase$ were not affected at all by the amino acid. These results suggest differences in the conformation or in the reactive residues at the active site of Tca ${\beta}-glycosidase$.