• 제목/요약/키워드: G-F1

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재귀원형군과 토러스에서 쌍형 다대다 서로소인 경로 커버 (Paired Many-to-Many Disjoint Path Covers in Recursive Circulants and Tori)

  • 김유상;박정흠
    • 한국정보과학회논문지:시스템및이론
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    • 제36권1호
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    • pp.40-51
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    • 2009
  • 그래프 G의 쌍형 다대다 k-서로소인 경로 커버(쌍형 k-DPC)는 k개의 서로 다른 소스-싱크 쌍을 연결하며 그래프에 있는 모든 정점을 지나는 k개의 서로소인 경로 집합이다. 이 논문에서는 재귀원형군 G($cd^m$,d), $d{\geq}3$과 토러스에서 서로소인 경로 커버를 고려하여, 이분 그래프가 아니고 분지수가 $\delta$인 재귀원형군과 토러스는 고장 요소(정점이나 에지)가 f개 이하일 때 $f+2k{\leq}{\delta}-1$을 만족하는 임의의 f, $k{\geq}1$에 대하여 쌍형 k-DPC를 가짐을 보인다.

THE STRUCTURE OF THE REGULAR LEVEL SETS

  • Hwang, Seung-Su
    • 대한수학회보
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    • 제48권6호
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    • pp.1245-1252
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    • 2011
  • Consider the $L^2$-adjoint $s_g^{'*}$ of the linearization of the scalar curvature $s_g$. If ker $s_g^{'*}{\neq}0$ on an n-dimensional compact manifold, it is well known that the scalar curvature $s_g$ is a non-negative constant. In this paper, we study the structure of the level set ${\varphi}^{-1}$(0) and find the behavior of Ricci tensor when ker $s_g^{'*}{\neq}0$ with $s_g$ > 0. Also for a nontrivial solution (g, f) of $z=s_g^{'*}(f)$ on an n-dimensional compact manifold, we analyze the structure of the regular level set $f^{-1}$(-1). These results give a good understanding of the given manifolds.

황색종 연초의 곁순 발생에 대한 조합능력과 Heterosis 정도 (Combining Ability and Degree of Heterosis in Sucker Producing Characteristices of Flue-cured Tobacco(Nicotiana tabacum L.))

  • 정석훈
    • 한국연초학회지
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    • 제22권1호
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    • pp.31-38
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    • 2000
  • Seven flue-cured tobacco(Nicotiana tabacum) varieties and their 21 progenies in Fl and F2 generation, half diallel crosses(no reciprocal), were tested for the degree of heterosis and combining abilities in sucker producing character according to topping and suckering treatment. Significant difference in number and weight of sucker was observed among seven cultivars. The values of general combining ability(GCA) were greater than those of specific combining ability(SCA) in weight and number of sucker in F$_1$ generation. In topping and suckering plot, Cocker 86, McNair 944, and Va 115 revealed the significant negative GCA effects for number and weight of sucker, but By 104 and Speight G-28 did positive GCA. Without topping and suckering, GCA effects for sucker weight in Cocker 139 and Cocker 86 were negative and those for sucker number in Va. 115 were also negative. Negative SCA values in sucker weight could be observed in F$_1$ generation of Cocker 86 X BY 104 and Speiht G-28 X Cocker 86, in F$_2$ of Hicks $\times$ Speight G-28 and McNair 944 $\times$ BY 104 in topping and suckering plot. SCA in F$_1$ of McNair 944 X Cocker 86 and Speight G-28 X Cocker 139 was negative without topping and suckering. The value of heterosis in sucker producing character of F$_1$ hybrids was positive

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POISSON BRACKETS DETERMINED BY JACOBIANS

  • Ahn, Jaehyun;Oh, Sei-Qwon;Park, Sujin
    • 충청수학회지
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    • 제26권2호
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    • pp.357-365
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    • 2013
  • Fix $n-2$ elements $h_1,{\cdots},h_{n-2}$ of the quotient field B of the polynomial algebra $\mathbb{C}[x_1,x_2,{\cdots},x_n]$. It is proved that B is a Poisson algebra with Poisson bracket defined by $\{f,g\}=det(Jac(f,g,h_1,{\cdots},h_{n-2})$ for any $f,g{\in}B$, where det(Jac) is the determinant of a Jacobian matrix.

ON PARTIAL SOLUTIONS TO CONJECTURES FOR RADIUS PROBLEMS INVOLVING LEMNISCATE OF BERNOULLI

  • Gurpreet Kaur
    • Korean Journal of Mathematics
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    • 제31권4호
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    • pp.433-444
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    • 2023
  • Given a function f analytic in open disk centred at origin of radius unity and satisfying the condition |f(z)/g(z) - 1| < 1 for a analytic function g with certain prescribed conditions in the unit disk, radii constants R are determined for the values of Rzf'(Rz)/f(Rz) to lie inside the domain enclosed by the curve |w2 - 1| = 1 (lemniscate of Bernoulli). This, in turn, provides a partial solution to the conjectures and problems for determination of sharp bounds R for such functions f.

Association between Polymorphisms of Interleukin-17A and Interleukin-17F Genes and Silicosis Susceptibility in Chinese Han People

  • Chen, Ying;Fan, Xue-Yun;Jin, Yu-Lan;Yao, San-Qiao;Yun, Xiang;Hua, Zheng-Bing;Shen, Fu-Hai
    • Asian Pacific Journal of Cancer Prevention
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    • 제15권20호
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    • pp.8775-8778
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    • 2014
  • Background: To explore the relationship between polymorphisms of interleukin17 (IL-17) gene(A-832G 7488A/G) and the susceptibility to silicosis, a risk factor for lung cancer. Materials and Methods: A total of 113 silicosis patients and 116 workers without silicosis were enrolled in the case-control study. IL-17A A-832G and IL-17F 7488A/G polymorphisms were evaluated by polymerase chain reaction-restriction fragment length polymorphism (PCR-RFLP). Results: The frequencies of AA,GG and AG of IL-17A A-832G locus in the case and control groups were 46.9%, 8.0%, 45.1%, and 49.2%, 7.6%, 43.2%, respectively, with no significant differences (p>0.05).The GG genotype in the IL-17F (7488A/G) locus was not found. The frequencies of AA and GA of IL-17F 7488A/G locus in the case and control groups were 84.1%, 15.9% and 66.4%, 33.6%, respectively (p<0.05). Analysis of combined effects showed that the individuals with GG+AG genotype of IL-17A and GG+GA genotype of IL-17F are protected against silicosis (OR=0.469). Conclusions: IL-17F 7488A/G is associated with susceptibility to silicosis, and G allele may have a protective effect. No relationship was found between IL-17A gene polymorphisms at A-832G and silicosis.

배양액 종류가 B6D2F1 마우스 배아발생능력에 미치는 영향 (Effect of Type of Culture Media on B6D2F1 Mice Oogenesis)

  • 유창석;박기상;서병부
    • 한국수정란이식학회지
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    • 제31권1호
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    • pp.19-25
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    • 2016
  • This study was conducted to evaluate the effects of type of culture media (BM, G2, OS, TCM, and MEM) on B6D2F1 mice oogenesis. In the present study, B6D2F1/CrljOri $F_1$ mice were utilized in order to maximize oogenesis. Also we used TCM-199, Dulbecco's medified Eagle's medium (DMEM), embryo culture medium (Fertilization medium, Cleavage medium, Blastocyst medium), G series medium and One step medium. In vitro maturation was highest in BM followed by the order of OS, MEM, TCM and G2 ($90{\pm}2.8%>88{\pm}3.2%>85{\pm}4.9%>78{\pm}10.2%>64{\pm}7.7%$, respectively). To note, the G2 group was statistically different compared to other groups (p<0.05). On the other hand the fertilization rate was highest in the G2 group followed by BM, OS, TCM, and MEM ($87{\pm}7.2%>85{\pm}6.9%>74{\pm}14.0%>71{\pm}13.8%>2{\pm}1.4%$, respectively). The MEM group was significantly lower compared to other groups (p<0.05). The developmental rate was highest in the OS group followed by the G2 group and the BM group albeit no statistical significance was noted ($73{\pm}11.6%>71{\pm}9.2%>66{\pm}10.4%$). Of note, all cells of the TCM and MEM groups were died during embryonic development. The zona hatched rate ($51{\pm}9.8%$ vs. $50{\pm}9.1%$ vs. $47{\pm}7.2%$ for BM, G2, and OS respectively) and attached rate ($45{\pm}12.3%$ vs. $38{\pm}16.1%$ vs. $37{\pm}11.5%$ for BM, G2, and OS respectively) were not different amongst groups. No difference was found in total cell numbers ($74{\pm}13.9$ vs. $64{\pm}9.2$ vs. $76{\pm}6.7$ for BM, G2, and OS respectively), ICM cell numbers ($20{\pm}1.9$ vs. $14{\pm}1.8$ vs. $15{\pm}2.1$), TE cell numbers ($55{\pm}12.5$ vs. $49{\pm}10.7$ vs. $61{\pm}5.9$), % ICM ($30{\pm}2.8%$ vs. $24{\pm}7.0%$ vs. $22.8{\pm}2.2%$) and ICM:TE ratio ($1:2{\pm}0.5$ vs. $1:3.1{\pm}0.8$ vs. $1:3.1{\pm}0.5$) amongst groups. In summary, these results can provide fundamental data to maximize culture condition for in vitro fertilization on B6D2F1 mice.

L(3, 2, 1)-LABELING FOR CYLINDRICAL GRID: THE CARTESIAN PRODUCT OF A PATH AND A CYCLE

  • Kim, Byeong Moon;Hwang, Woonjae;Song, Byung Chul
    • Korean Journal of Mathematics
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    • 제25권2호
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    • pp.279-301
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    • 2017
  • An L(3, 2, 1)-labeling for the graph G = (V, E) is an assignment f of a label to each vertices of G such that ${\mid}f(u)-f({\upsilon}){\mid}{\geq}4-k$ when $dist(u,{\upsilon})=k{\leq}3$. The L(3, 2, 1)-labeling number, denoted by ${\lambda}_{3,2,1}(G)$, for G is the smallest number N such that there is an L(3, 2, 1)-labeling for G with span N. In this paper, we compute the L(3, 2, 1)-labeling number ${\lambda}_{3,2,1}(G)$ when G is a cylindrical grid, which is the cartesian product $P_m{\Box}C_n$ of the path and the cycle, when $m{\geq}4$ and $n{\geq}138$. Especially when n is a multiple of 4, or m = 4 and n is a multiple of 6, then we have ${\lambda}_{3,2,1}(G)=11$. Otherwise ${\lambda}_{3,2,1}(G)=12$.

Cdk inhibitors의 발현 증가 및 pRB 인산화 저해에 의한 HDAC inhibitor인 sodium butyrate에 의한 인체백혈병세포의 G1 arrest유발 (G1 Arrest of U937 Human Monocytic Leukemia Cells by Sodium Butyrate, an HDAC Inhibitor, Via Induction of Cdk Inhibitors and Down-regulation of pRB Phosphorylation)

  • 최영현
    • 생명과학회지
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    • 제19권7호
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    • pp.871-877
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    • 2009
  • 대표적인 histone deacetylase inhibitor 저해제의 일종일 sodium butyrate에 의한 인체백혈병 U937세포의 증식 억제에 관한 기전 연구를 세포주기 조절 측면에서 조사하였다. MTT assay 및 flow cytometry 분석을 통하여 sodium butyrate의 처리 농도 증가에 따른 U937 세포의 증식억제는 세포주기 G1 arrest 및 apoptosis 유발에 의한 것임을 확인하였다. RT-PCR및 Western blotting 결과에서 sodium butrate에 의한 G1 arrest는 세포주기 G1기에서 S기로의 진입에 중요한 역할을 하는 cyclin D1, E, A, cyclin-dependent kinase (Cdk) 4 및 Cdk6발현의 저해와 p21 및 p27과 같은 Cdk inhibitor의 발현 증가와 연관성이 있었다. Sodium butyrate는 또한 retinoblastoma protein (pRB)및 p130 단백질의 인산화를 저해시켰으나, S기 진행에 중요한 전사조절인자인 E2F-1 및 E2F-4의 의 발현에는 큰 영향이 없었다. 그러나 sodium butyrate에 의한 pRB 및 p130단백질의 인산화 저해는 pRB와 E2F-1및 p130과 E2F-4와의 결합력을 증사시켰다. 본 연구의 결과는 U937세포의 증식억제에 pRB/p130 인산화 억제 및 Cdk inhibitors의 발현 증가가 중요한 역할을 하고있음을 보여주는 것으로, sodium butyrate의 항암기전 이해에 중요한 자료가 될 것이다.

Minimal Generators of Syzygy Modules Via Matrices

  • Haohao Wang;Peter Oman
    • Kyungpook Mathematical Journal
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    • 제64권2호
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    • pp.197-204
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    • 2024
  • Let R = 𝕂[x] be a univariate polynomial ring over an algebraically closed field 𝕂 of characteristic zero. Let A ∈ Mm,m(R) be an m×m matrix over R with non-zero determinate det(A) ∈ R. In this paper, utilizing linear-algebraic techniques, we investigate the relationship between a basis for the syzygy module of f1, . . . , fm and a basis for the syzygy module of g1, . . . , gm, where [g1, . . . , gm] = [f1, . . . , fm]A.