• Title/Summary/Keyword: S.I.G

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ON CYCLIC DECOMPOSITIONS OF THE COMPLETE GRAPH INTO THE 2-REGULAR GRAPHS

  • Liang, Zhihe
    • Journal of applied mathematics & informatics
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    • v.24 no.1_2
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    • pp.261-271
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    • 2007
  • The symbol C($m_1^{n_1}m_2^{n_2}{\cdots}m_s^{n_s}$) denotes a 2-regular graph consisting of $n_i$ cycles of length $m_i,\;i=1,\;2,\;{\cdots},\;s$. In this paper, we give some construction methods of cyclic($K_v$, G)-designs, and prove that there exists a cyclic($K_v$, G)-design when $G=C((4m_1)^{n_1}(4m_2)^{n_2}{\cdots}(4m_s)^{n_s}\;and\;v{\equiv}1(mod\;2|G|)$.

Production of Xylooligosaccharides with Thermostable Xylanases from the Streptomyces thermocyaneo-violaceus (내열성 방성균 Streptomyces thermocyaneoviloaceus 의 Xylanases를 이용한 자일로올리고당의 생산)

  • 이오석;최충식;최준호;주길재;이인구
    • Microbiology and Biotechnology Letters
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    • v.29 no.4
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    • pp.221-226
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    • 2001
  • Streptomyces themocyaneovio-laceus producing the thermostable xylanase was used for the production of xylooligosaccharides from xylan. The optimal conditions for the xylanase production were investigated in jar fermentor, which operated at 2 vvm aera-tion and 400 rpm agitation speed at $50^{\circ}C$ for 24 h. The optimal reaction condtion for the production of xylooli-gosaccharides with xylanases which were prepared by the percipitation with ammonium sulfate were obtained by the reaction at $60^{\circ}C$ for 12 h in the mixture composed of 10% birchwood xylan in 50 mM sodium phosphate buffer (pH 6.0)and 10 unit/ml of xylanase. In this optimal condition for the xylooligosaccharides production the mixture of xylooligosaccharides (58.8 g/I) which were composed of 20.1 g/I of xyobiose, 8.9 g/I of xylotriose 4.5 g/I of xylotetraose 16.2g/I of xylopentaose and 9.1 g/I xylohexaose and 5.0 g/I of xylose was produced from 100 g/I of birchwood xylan by the xylanases of S thermocyaneoviolaceus .

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A NOTE ON JANOWITZ'S HULLS OF GENERALIZED ORTHOMODULAR LATTICES

  • Park, Eun-Soon;Chung, Jin-Young
    • Communications of the Korean Mathematical Society
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    • v.15 no.3
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    • pp.511-519
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    • 2000
  • If G is a strict generalized orthomodular lattice and H={I|I=[0, $\chi$, $\chi$$\in$G}, then H is prime ideal of the Janowitz's hull J(G) of G. If f is the janowitz's embedding, then the set of all commutatiors of f(G) equals the set of all commutators of the Janowitz's hull J(G) of G. Let L be an OML. Then L J(G) for a strict GOML G if and only if ther exists a proper nonprincipal prime ideal G in L.

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NOTE ON GOOD IDEALS IN GORENSTEIN LOCAL RINGS

  • Kim, Mee-Kyoung
    • Bulletin of the Korean Mathematical Society
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    • v.39 no.3
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    • pp.479-484
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    • 2002
  • Let I be an ideal in a Gorenstein local ring A with the maximal ideal m and d = dim A. Then we say that I is a good ideal in A, if I contains a reduction $Q=(a_1,a_2,...,a_d)$ generated by d elements in A and $G(I)=\bigoplus_{n\geq0}I^n/I^{n+1}$ of I is a Gorenstein ring with a(G(I)) = 1-d, where a(G(I)) denotes the a-invariant of G(I). Let S = A[Q/a$_1$] and P = mS. In this paper, we show that the following conditions are equivalent. (1) $I^2$ = QI and I = Q:I. (2) $I^2S$ = $a_1$IS and IS = $a_1$S:sIS. (3) $I^2$Sp = $a_1$ISp and ISp = $a_1$Sp :sp ISp. We denote by $X_A(Q)$ the set of good ideals I in $X_A(Q)$ such that I contains Q as a reduction. As a Corollary of this result, we show that $I\inX_A(Q)\Leftrightarrow\IS_P\inX_{SP}(Qp)$.

The IgG subclass responses in the phenotypic subsets of the early-onset periodontitis (조기발병형 치주염의 표현형적 소집단의 IgG Subclass에 대한 연구)

  • Choi, Jeom-Il
    • Journal of Periodontal and Implant Science
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    • v.29 no.1
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    • pp.251-264
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    • 1999
  • 본 연구는 조기발병형 치주염의 서로 다른 4가지 표현형에 있어서 Porphyromonas gingivalis(Pg) 381과 Actinobacillus actinomycetemcomitans(Aa) Y4에 대한 상승된 IgG subclass의 양상을 평가하기 위해 시행하였다. Subform I(distinctive localized juvenile periodontitis pattern)에서 3명 subform II(post juvenile periodontitis pattern)에서 19명, subform III (localized but rapidly progressing pattern)에서 15명, subform IV(distinctive rapidly progressing periodontitis pattern)에서 15명의 환자를 조사하여 Pg에 대한 그들의 total IgG level과 각각의 IgG subclass level 및 Aa에 대한 IgG level을 검사했다. Pg에 대한 total IgG level은 subform II와 IV보다 subform I과 III에서 훨씬 높게 나타났다. IgG3 level이 subform I과 IV사이에서 현저한 차이가 있다는 점을 제외하고는, 다른 IgG subclass level에서 subform 사이에 아무런 차이가 없었다. Pg에 대한 IgG subclass는 single class 혹은 다양한 group에서 상승되어 나타났으며, IgG1+2+4가 가장 흔하게 발견되었고, 다음으로 IgG4 단독, IgG2 단독, IgG2+4, IgG2+3+4의 순으로 발견되었다. IgG2와 IgG4가 빈번히 상승되어 발견되었는데, 특히 severe form(subform III & IV)에서 그러했다. 뿐만 아니라, IgG level은 subform II, III, IV와 일치하여 점차적으로 증가하였고, 반면에 IgG1/IgG4 ratio는 그와 일치하여 감소되었다. 이러한 ratio의 감소는 단백질성의 오래된 항원의 과부하로 인해 immunoglobulin gene의 전환을 가능하게 한다는 것을 나타내고 있다. Aa에 대한 IgG2 level은 다른 유형보다 subform I에서 상당히 높았다. Pg에 대한 IgG2 levels이 subform I의 국소 부위에서 발생하는 disease activity와 밀접한 관련이 있으며, Aa의 경우에는 이러한 관련성이 나타나지 않았다. Pg에 대한 IgG2 level은 18-25세에서 훨씬 높은 동시에 26-35세에서는 감소했으며 결국 30대 후반에서는 더 높은 수치로 되돌아갔다. 이러한 결과는 Pg에 대한 IgG2 및 IgG responsiveness (single 혹은 combined)가 EOP의 severe form의 발달에 중요하게 작용하며 IgG2 levels은 IgG1/IgG4 ratio와 더불어 EOP의 localized type이 generalized type으로 계속 진행하는 것을 조절하는 역할을 하는 것으로 보인다는 것을 강하게 시사하였다.

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Expanding Generalized Hadamard Matrices over $G^m$ by Substituting Several Generalized Hadamard Matrices over G

  • No, Jong-Seon;Song, Hong-Yeop
    • Journal of Communications and Networks
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    • v.3 no.4
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    • pp.361-364
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    • 2001
  • Over an additive abelian group G of order g and for a given positive integer $\lambda$, a generalized Hadamard matrix GH(g, $\lambda$) is defined as a gλ$\times$gλ matrix[h(i, j)], where 1 $\leq i \leqg\lambda and 1 \leqj \leqg\lambda$, such that every element of G appears exactly $\lambd$atimes in the list h($i_1, 1) -h(i_2, 1), h(i_1, 2)-h(i_2, 2), …, h(i_1, g\lambda) -h(i_2, g\lambda), for any i_1\neqi_2$. In this paper, we propose a new method of expanding a GH(g^m, \lambda_1) = B = [B_{ij}] over G^m$ by replacing each of its m-tuple B_{ij} with B_{ij} + GH(g, $\lambda_2) where m = g\lambda_2. We may use g^m/\lambda_1 (not necessarily all distinct) GH(g, \lambda_2$)s for the substitution and the resulting matrix is defined over the group of order g.

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Purification of Glucose Isomerase from ALkalophilic Streptomyces sp. B-2 (호알칼리성 Streptomyces sp.B-2에 의한 Glucose Isomerase의 정제)

  • 이은숙;이준우
    • Journal of the East Asian Society of Dietary Life
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    • v.10 no.5
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    • pp.439-444
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    • 2000
  • 호알칼리성 방선균 Streptomyes sp. B-2를 Glucose Isomerse 생성을 위해 토양에서 분리했다. Glucose Isomerase(G.I)는 high fructose glucose syrup과 fructose의 생산을 위해서 식품 공업에서 아주 중요시되고 있는 효소이다. 호알칼리성 방선균 Streptomyces sp. B-2가 생성하는 glucose isomerase(G.I.)를 정제하였다. G.I.는 (NH$_4$)$_2$So$_4$분획, DEAE-cellulose, Sephadex G-200 chromatography하여 순수 분리 하였다. 순수분리된 G.I.는 electrophoresis에 의해 확인을 했다. SDS-acrylamide gel electrophoresis에 의해 정제된 효소는 single band를 보여주었다.

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MULTIPLICATIVE GROUP IN A FINITE RING

  • Han, Juncheol
    • Bulletin of the Korean Mathematical Society
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    • v.30 no.2
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    • pp.213-221
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    • 1993
  • In this paper, we will show that the multiplicative group G in a finite ring R with identity 1 has a (B, N)-pair satisfying the following conditions; (1) G=BNB where B and N are subgroups of G. (2) B.cap.N is a normal subgroup of N and W = N/(B.cap.N), is generated by a set S = { $s_{1}$, $s_{2}$, .., $s_{k}$} where $s_{i}$.mem.N/(B.cap.N), $s_{i}$$^{2}$.iden.1 and $s_{i}$.neq.1. (3) For any s.mem.S and w.mem.W, we have sBw.contnd.BwB.cup.BswB. (4) We have sBs not .subeq. B for any s.mem.S. When G, B, N and S satisfy the above conditions, we say that the quadruple (G, B, N, S) is a Tits system. The group W is called the Weyl gorup of the Tits system.ystem.m.

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Expanding Generalized Hadamard Matrices over Gm by Using Generalized Hadamard Matrices over G (그룹 G상의 일반화된 하다마드 행렬을 이용한 \ulcorner 상의 일반화된 하다마드 행렬의 확장)

  • 노종선
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.25 no.10A
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    • pp.1560-1565
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    • 2000
  • Over an additive abelian group G of order g and for a given positive integer λ, a generalized Hadamard matrix GF(g,λ) is defined as a gλ$\times$gλ matrix [h(i,j)] where 1$\leq$i$\leq$gλ,1$\leq$j$\leq$gλ, such that every element of G appears exactly λ times in the list h(i$_1$,1)-h(i$_2$,1), h(i$_1$,2)-h(i$_2$,2),...,h(i$_1$,gλ)-h(i$_2$, gλ) for any i$\neq$j. In this paper, we propose a new method of expanding a GH(\ulcorner,λ$_1$) = B = \ulcorner over G by replacing each of its m-tuple \ulcorner with \ulcorner GH(g,λ$_2$) where m=gλ$_2$. We may use \ulcornerλ$_1$(not necessarily all distinct) GH(g,λ$_2$)'s for the substitution and the resulting matrix is defined over the group of order g.

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Optimization of Culture Conditions for Erythritol Production by Torula sp.

  • Kim, Kyung-Ah;Noh, Bohg-Soo;Lee, Jung-Kul;Kim, Sang-Yong;Park, Yong-Cheol;Oh, Deok-Kun
    • Journal of Microbiology and Biotechnology
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    • v.10 no.1
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    • pp.69-74
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    • 2000
  • The medium for erythritol production by Torula sp. in a 500-ml baffled flask was optimized to be 300 g/I sucrose, 10 g/I yeast extract, 3 g/I $KH_2PO_4$, and 10 mg/I $CuSO_4{\cdot}5H_2O{\;}at{\;}34^{\circ}C$ with initial pH of 5.5. Using this optimal medium, erythritol of 166 g/I was obtained after 140 h of cultivation, corresponding to 55.3% of the erythritol yield from sucrose with a productivity of 1.11 g/I/h. Optimal concentrations of carbbon and nitrogen sources in a fermentor were higher than that in a flask due to the higher oxygen supply of the fermentor. Employing the medium containing 300 g/I or 400 g/I sucrose for the determination of optimal C/N ratio, the C/N ratio was found to be more important than the nitrogen concentration for effective erythritol production, The optimal ratio of yeast extract to sucrose (g/g) was 20. The yield and productivity of erythritol were maximal in the medium containing 400 g/I sucrose and 20 g/I yeast extract. when dissolved oxygen in the culture was increased, the cell mass increased but the erythritol production was manimal in the range of 5 to 10% of dissolved oxygen. Under the optimal the rane of 5 to 10% of dissolved oxygen. Under the optimal culture condition of the fermentor, a final erythritol concentration of 200 gI was obtained after 120 h with a yield of 50% and the productivity was 1.67 g/I/h. The yield was the highest among erythritol-producting microorganisms

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