• Title/Summary/Keyword: $R_m$

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Enzymatic Properties of the Convertible Enzyme of Ginseng Saponin Produced from Rhizopus japonicus (Rhizopus japonicus가 생산하는 인삼 Saponin 전환효소의 효소학적 특성)

  • 김상달;서정훈
    • Microbiology and Biotechnology Letters
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    • v.17 no.2
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    • pp.126-130
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    • 1989
  • In 14 kinds of ginsenosides in ginseng saponin, ginsenoside Rbr is contained the most abundantly. But ginsenoside Rd which is similar to ginsenoside R $b_1$in structure, was known to be superior to ginsenoside R $b_1$pharmaceutically. The convertible enzyme which can transform ginsenoside R $b_1$to Binsenoside Rd specifically among ginseng saponin, was purified homogeneously from Rhizopus japonicus. The optimal pH for the action of the enzyme was pH 4.8 to 5.0, and optimal temperature was 45$^{\circ}C$. The enzyme was stable in the range of pH 4.0 to 9.0, and the half activity of enzyme was remained by the thermal treatment at 6$0^{\circ}C$ for 2 hours. The enzyme activity was enhanced by addition of M $n^{++}$ or Fe, though inhibited by EDTA or o-phenanthroline. On the substrate specificity, the enzyme was. able to hydrolyze gentiobiose, cellobiose, amygdalin and prunasin, but not to hydrolyze any other kinds of Binsenosides besides Binsenoside R $b_1$. Km values of the enzyme for ginsenoside R $b_1$, gentiobiose and amygdalin were 5.0mM, 4.8mM and 3.7mM, respectively.3.7mM, respectively.y.

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Pool Boiling Performance of Enhanced Tubes for a Flooded Evaporator (만액식 증발기용 성형가공관의 풀비등 성능)

  • Kim, Nae-Hyun;Kim, Tae-Hyung;Park, Woon-Jin
    • Transactions of the Korean Society of Mechanical Engineers B
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    • v.24 no.1
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    • pp.124-131
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    • 2000
  • In this study, pool boiling performance of Turbo/B-type metal-formed tubes was investigated. Tubes with three different cavity gap width(0.04 mm, 0.07 mm, 0.1 mm) were manufactured and tested using R-11, R-123 and R-134a. Tests were conducted at two different saturation temperatures $4.4^{\circ}C$ and $26.7^{\circ}C.$ Heat flux was varied from 10 kW/m2 to 50 kW/m2. It was found that optimum gap width varied for different refrigerants. For low-pressure refrigerants such as R-11 or R-123, optimum gap width was 0.07 mm. For high-pressure refrigerant R-134a, however, the optimum value was 0.1 mm. Compared with the heat transfer performance of the smooth tube, the metal-formed tubes enhanced the heat transfer coefficients significantly - 6.5 times for R-11, 6.0 times for R-123 and 5.0 times for R-134a (at $4.4^{\circ}C$ saturation temperature and 40 kW/m2 heat flux), which are comparable with the performance of foreign products. The heat transfer coefficients of R-134a were larger than those of R-11 or R-123, and they increased as the saturation temperature increased.

A REMARK ON HALF-FACTORIAL DOMAINS

  • Oh, Heung-Joon
    • The Pure and Applied Mathematics
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    • v.4 no.1
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    • pp.93-96
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    • 1997
  • An atomic integral domain R is a half-factorial domain (HFD) if whenever $\chi_1$$\chi_{m}=y_1$$y_n$ with each $\chi_{i},y_j \in R$ irreducible, then m = n. In this paper, we show that if R[X] is an HFD, then $Cl_{t}(R)$ $\cong$ $Cl_{t}$(R[X]), and if $G_1$ and $G_2$ are torsion abelian groups, then there exists a Dedekind HFD R such that Cl(R) = $G_1\bigoplus\; G_2$.

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Flow Resistance and Modeling Rule of Fishing Nets -2. Flow Resistance of Bag Nets- (그물어구의 유수저항과 모형수칙 -2. 자루형 그물의 유수저항-)

  • KIM Dae-An
    • Korean Journal of Fisheries and Aquatic Sciences
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    • v.28 no.2
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    • pp.194-201
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    • 1995
  • In order to make clear the resistance of bag nets, the resistance R of bag nets with wall area S designed in pyramid shape was measured in a circulating water tank with control of flow velocity v and the coefficient k in $R=kSv^2$ was investigated. The coefficient k showed no change In the nets designed in regular pyramid shape when their mouths were attached alternately to the circular and square frames, because their shape in water became a circular cone in the circular frame and equal to the cone with the exception of the vicinity of frame in the square one. On the other hand, a net designed in right pyramid shape and then attached to a rectangular frame showed an elliptic cone with the exception of the vicinity of frame in water, but produced no significant difference in value of k in comparison with that making a circular cone in water. In the nets making a circular cone in water, k was higher in nets with larger d/l, ratio of diameter d to length I of bars, and decreased as the ratio S/S_m$ of S to the area $S_m$ of net mouth was increased or as the attack angle 9 of net to the water flow was decreased. But the value of ks15m was almost constant in the region of S/S_m=1-4$ or $\theta=15-90^{\circ}$ and in creased linearly in S/S_m>4 or in $\theta<15^{\circ}$ However, these variation of k could be summarized by the equation obtained in the previous paper. That is, the coefficient $k(kg\;\cdot\;sec^2/m^4)$ of bag nets was expressed as $$k=160R_e\;^{-01}(\frac{S_n}{S_m})^{1.2}\;(\frac{S_m}{S})^{1.6}$$ for the condition of $R_e<100$ and $$k=100(\frac{S_n}{S_m})^{1.2}\;(\frac{S_m}{S})^{1.6}$$ for $R_e\geq100$, where $S_n$ is their total area projected to the plane perpendicular to the water flow and $R_e$ the Reynolds' number on which the representative size was taken by the value of $\lambda$ defined as $$\lambda={\frac{\pi d^2}{21\;sin\;2\varphi}$$ where If is the angle between two adjacent bars, d the diameter of bars, and 21 the mesh size. Conclusively, it is clarified that the coefficient k obtained in the previous paper agrees with the experimental results for bag nets.

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A RESULT ON GENERALIZED DERIVATIONS WITH ENGEL CONDITIONS ON ONE-SIDED IDEALS

  • Demir, Cagri;Argac, Nurcan
    • Journal of the Korean Mathematical Society
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    • v.47 no.3
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    • pp.483-494
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    • 2010
  • Let R be a non-commutative prime ring and I a non-zero left ideal of R. Let U be the left Utumi quotient ring of R and C be the center of U and k, m, n, r fixed positive integers. If there exists a generalized derivation g of R such that $[g(x^m)x^n,\;x^r]_k\;=\;0$ for all x $\in$ I, then there exists a $\in$ U such that g(x) = xa for all x $\in$ R except when $R\;{\cong}\;=M_2$(GF(2)) and I[I, I] = 0.

HYPERSURFACES IN 𝕊4 THAT ARE OF Lk-2-TYPE

  • Lucas, Pascual;Ramirez-Ospina, Hector-Fabian
    • Bulletin of the Korean Mathematical Society
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    • v.53 no.3
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    • pp.885-902
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    • 2016
  • In this paper we begin the study of $L_k$-2-type hypersurfaces of a hypersphere ${\mathbb{S}}^{n+1}{\subset}{\mathbb{R}}^{n+2}$ for $k{\geq}1$ Let ${\psi}:M^3{\rightarrow}{\mathbb{S}}^4$ be an orientable $H_k$-hypersurface, which is not an open portion of a hypersphere. Then $M^3$ is of $L_k$-2-type if and only if $M^3$ is a Clifford tori ${\mathbb{S}}^1(r_1){\times}{\mathbb{S}}^2(r_2)$, $r^2_1+r^2_2=1$, for appropriate radii, or a tube $T^r(V^2)$ of appropriate constant radius r around the Veronese embedding of the real projective plane ${\mathbb{R}}P^2({\sqrt{3}})$.

A GENERALIZATION OF COHEN-MACAULAY MODULES BY TORSION THEORY

  • BIJAN-ZADEH, M.H.;PAYROVI, SH.
    • Honam Mathematical Journal
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    • v.20 no.1
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    • pp.1-14
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    • 1998
  • In this short note we study the torsion theories over a commutative ring R and discuss a relative dimension related to such theories for R-modules. Let ${\sigma}$ be a torsion functor and (T, F) be its corresponding partition of Spec(R). The concept of ${\sigma}$-Cohen Macaulay (abbr. ${\sigma}$-CM) module is defined and some of the main points concerning the usual Cohen-Macaulay modules are extended. In particular it is shown that if M is a non-zero ${\sigma}$-CM module over R and S is a multiplicatively closed subset of R such that, for all minimal element of T, $S{\cap}p={\emptyset}$, then $S^{-1}M$ is a $S^{-1}{\sigma}$-CM module over $S^{-1}$R, where $S^{-1}{\sigma}$ is the direct image of ${\sigma}$ under the natural ring homomorphism $R{\longrightarrow}S^{-1}R$.

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CERTAIN MAXIMAL OPERATOR AND ITS WEAK TYPE $L^1$($R^n$)-ESTIMATE

  • Kim, Yong-Cheol
    • Communications of the Korean Mathematical Society
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    • v.16 no.4
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    • pp.621-626
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    • 2001
  • Let { $A_{>o}$ t= exp(M log t)} $_{t}$ be a dilation group where M is a real n$\times$n matrix whose eigenvalues has strictly positive real part, and let $\rho$be an $A_{t}$ -homogeneous distance function defined on ( $R^{n}$ ). Suppose that K is a function defined on ( $R^{n}$ ) such that /K(x)/$\leq$ (No Abstract.see full/text) for a decreasing function defined on (t) on R+ satisfying where wo(x)=│log│log (x)ll. For f$\in$ $L_{1}$ ( $R^{n}$ ), define f(x)=sup t>0 Kt*f(x)=t-v K(Al/tx) and v is the trace of M. Then we show that \ulcorner is a bounded operator of $L_{-{1}( $R^{n}$ ) into $L^1$,$\infty$( $R^{n}$).

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