• 제목/요약/키워드: E.F.

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SOME PROPERTIES ON f-EDGE COVERED CRITICAL GRAPHS

  • Wang, Jihui;Hou, Jianfeng;Liu, Guizhen
    • Journal of applied mathematics & informatics
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    • 제24권1_2호
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    • pp.357-366
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    • 2007
  • Let G(V, E) be a simple graph, and let f be an integer function on V with $1{\leq}f(v){\leq}d(v)$ to each vertex $v{\in}V$. An f-edge cover-coloring of a graph G is a coloring of edge set E such that each color appears at each vertex $v{\in}V$ at least f(v) times. The f-edge cover chromatic index of G, denoted by ${\chi}'_{fc}(G)$, is the maximum number of colors such that an f-edge cover-coloring of G exists. Any simple graph G has an f-edge cover chromatic index equal to ${\delta}_f\;or\;{\delta}_f-1,\;where\;{\delta}_f{=}^{min}_{v{\in}V}\{\lfloor\frac{d(v)}{f(v)}\rfloor\}$. Let G be a connected and not complete graph with ${\chi}'_{fc}(G)={\delta}_f-1$, if for each $u,\;v{\in}V\;and\;e=uv{\nin}E$, we have ${\chi}'_{fc}(G+e)>{\chi}'_{fc}(G)$, then G is called an f-edge covered critical graph. In this paper, some properties on f-edge covered critical graph are discussed. It is proved that if G is an f-edge covered critical graph, then for each $u,\;v{\in}V\;and\;e=uv{\nin}E$ there exists $w{\in}\{u,v\}\;with\;d(w)\leq{\delta}_f(f(w)+1)-2$ such that w is adjacent to at least $d(w)-{\delta}_f+1$ vertices which are all ${\delta}_f-vertex$ in G.

군용항공기 연구개발 사업 사례분석 (A Case Study on the R&D Programs of Fighter & Attacker Aircraft)

  • 이성은;권용수
    • 시스템엔지니어링학술지
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    • 제5권1호
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    • pp.7-20
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    • 2009
  • This paper describes a case study on the R&D programs of fighter and attacker aircraft such as F-22A, F/A-18E/F, and T/A-50. F-22A and F/A-18E/F were developed in same age. The performance of each program was, however extremely different. F-22A program results in a lot of cost overrun and schedule delay. On the other hand F/A-18E/F program met the cost, schedule, and performance goals. In the T/A-50 program with a super-sonic advanced trainer, T-50 was also developed successfully on planned cost and time by Korea Air-force and KAI. This paper derives key elements for the success of the military aircraft R&D program through lessons learned from th e case study. Each program is analyzed in terms of its background, planning and management.

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The Ubiquitin-Proteasome System and F-box Proteins in Pathogenic Fungi

  • Liu, Tong-Bao;Xue, Chaoyang
    • Mycobiology
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    • 제39권4호
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    • pp.243-248
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    • 2011
  • The ubiquitin-proteasome system is one of the major protein turnover mechanisms that plays important roles in the regulation of a variety of cellular functions. It is composed of E1 (ubiquitin-activating enzyme), E2 (ubiquitin-conjugating enzyme), and E3 ubiquitin ligases that transfer ubiquitin to the substrates that are subjected to degradation in the 26S proteasome. The Skp1, Cullin, F-box protein (SCF) E3 ligases are the largest E3 gene family, in which the F-box protein is the key component to determine substrate specificity. Although the SCF E3 ligase and its F-box proteins have been extensively studied in the model yeast Saccharomyces cerevisiae, only limited studies have been reported on the role of F-box proteins in other fungi. Recently, a number of studies revealed that F-box proteins are required for fungal pathogenicity. In this communication, we review the current understanding of F-box proteins in pathogenic fungi.

점성토의 일축압축 강도와 탄성계수의 상관관계식에 관한 연구 (A Study the Relationship Fofmula of Elastic Modulus and Axcial Stress of clay)

  • 서효식;박춘식;김종환
    • 한국지반공학회:학술대회논문집
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    • 한국지반공학회 2010년도 추계 학술발표회 2차
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    • pp.147-151
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    • 2010
  • In this study, the clay specimen of Busan-Gyeongnam region was used for unconfined compression test to compare the relationship formula between elasticity modulus at peak($E_f$), elasticity modulus at $q_u$/2($E_{50}$), and cohesion when the sample breaks down by region and by level of cohesion. As the result, the regional results were found to be in the range of $E_f$ = 14c~47c and $E_{50}$ = 43c~137c; by cohesion, the results for very soft ground was $E_f$ = 15c~40c and $E_{50}$ = 54c~101c, $E_f$ = 13c~63c and $E_{50$ = 40c~147c for soft ground, $E_f$ = 18c~47c and $E_{50}$ = 57c~144c for medium ground, and $E_f$ = 25c~45c and $E_{50}$ = 68c~115c for solid ground. The average of the relationship formula between elasticity modulus-cohesion for the clay used in this study was $E_f$ = 32c, $E_{50}$ = 93c. This is 2.5~5 times smaller than the existing relationship formula.

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Transcriptional activation of pref-1 by E2F1 in 3T3 L1 cells

  • Shen, Yan-Nan;Kim, Yoon-Mo;Yun, Cheol-Heui;Moon, Yang-Soo;Kim, Sang-Hoon
    • BMB Reports
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    • 제42권10호
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    • pp.691-696
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    • 2009
  • The E2F gene family appears to regulate the proliferation and differentiation of events that are required for adipogenesis. Pref-1 is a transmembrane protein that inhibits adipocyte differentiation in 3T3-L1 cells. In this study, we found that the expression of pref-1 is regulated by the transcription factor E2F1. The expression of pref-1 and E2F1 was strongly induced in preadipocytes and at the late differentiation stage. Using luciferase reporter assay, ChIP assay and EMSA, we found that the -211/-194 region of the pref-1 promoter is essential for the binding of E2F1 as well as E2F1-dependent transcriptional activation. Knockdown of E2F1 reduced both pref-1 promoter activity and the level of pref-1 mRNA. Taken together, our data suggest that transcriptional activation of pref-1 is stimulated by E2F1 protein in adipocytes.

생쥐난의 체외 배양에서 인간난포액과 표피 성장 인자가 난성숙에 미치는 영향 (The Effect of E.G.F. and Human Follicular fluid on the Maturation of Mouse Oocytes in in vitro Culture)

  • 민부기
    • Clinical and Experimental Reproductive Medicine
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    • 제20권2호
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    • pp.157-160
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    • 1993
  • The human follicular f1uids(F.F.) may be considered to contribute the maturation of the oocytes on the in vitro culture. To investigate the effects of epidermal growth factor (E.G.F.), which is present in mature and immature follicular fluids, we had experiments of mouse oocytes maturation in vitro. The endpoints assayed were rated as percentage of oocytes undergoing germinal vesicle breakdown(G.V.B.D.) and polar body(P.B.) formation at 12 hours after in vitro culture. The rates of G.B.B.D. were 87% in mature F.F. 68% in immature F.F. and 78% in Ham's F-10 medium respectively. And overall the mature F.F. seem to stimulate on in vitro oocyte maturation compared with either immature F.F. or Ham's F-10 medium. As the concentration of addition of E.G.F. in immature F.F., the rates of G.V.B.D. and P.B. formation were 82 %, 23% in addition with 2 ng/ml while 84%, 32% in addition with 4 ng/ml respectivly. And at the concentration of addition of E.G.F. in Ham's F-10 media as well, the rates of G.V.B.D. and P.B. formation were 84%, 40% and 82%, 44% in addition with each 2ng, 4ng. AccordinglY there was no influence on the oocytes maturation at the addition of E.G.F. to each immature F.F. and Ham's F-10 medium. In conclusion, the E.G.F. is not able to induce oocyte maturation independent of it's effects in immature F.F. and Ham's F-10 media.

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가변 시간 골드스미트 부동소수점 나눗셈기 (A Variable Latency Goldschmidt's Floating Point Number Divider)

  • 김성기;송홍복;조경연
    • 한국정보통신학회논문지
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    • 제9권2호
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    • pp.380-389
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    • 2005
  • 부동소수점 나눗셈에서 많이 사용하는 골드스미트 나눗셈 알고리즘은 일정한 횟수의 곱셈을 반복한다. 본 논문에서는 오차가 정해진 값보다 작아질 때까지 곱셈을 반복하여 나눗셈을 수행하는 가변 시간 골드스미트 부동소수점 나눗셈 알고리즘을 제안한다. 부동소수점 나눗셈 ‘$\frac{N}{F}$'는 'T=$\frac{1}{F}+e_t$'를 분모와 분자에 곱하면 ’$\frac{TN}{TF}=\frac{N_0}{F_0}$'가 된다. ’$R_i=(2-e_r-F_i),\;N_{i+1}=N_i{\ast}R_i,\;F_{i+1}=F_i{\ast}R_i$, i$\in${0,1,...n-1}'를 반복한다. 중간 곱셈 결과는 소수점이하 p 비트 미만을 절삭하며, 절삭 오차는 ‘$e_r=2^{-p}$', 보다 작다. p는 단정도실수에서 29, 배정도실수에서 59이다. ’$F_i=1+e_i$'이라고 하면 ‘$F_{i+1}=1-e_{i+1},\;e_{i+1},\;e_{i+1}'이 된다. '$[F_i-1]<2^{\frac{-p+3}{2}}$'이면, ’$e_{i+1}<16e_r$'이 부동소수점으로 표현 가능한 최소값보다 작아지며, ‘$N_{i+1}\risingdotseq\frac{N}{F}$이다. 본 논문에서 제안한 알고리즘은 입력 값에 따라서 곱셈 횟수가 다르므로, 평균 곱셈 횟수를 계산하는 방식을 도출하고, 여러 크기의 근사 역수 테이블($T=\frac{1}{F}+e_t$)에서 단정도실수 및 배정도실수의 나눗셈 계산에 필요한 평균 곱셈 횟수를 계산한다. 이들 평균 곱셈 횟수를 종래 알고리즘과 비교하여 본 논문에서 제안한 알고리즘의 우수성을 증명한다. 본 논문에서 제안한 알고리즘은 오차가 일정한 값보다 작아질 때까지만 반복 연산을 수행하므로 나눗셈기의 성능을 높일 수 있다. 또한 최적의 근사 역수 테이블을 구성할 수 있다. 본 논문의 연구 결과는 디지털 신호처리, 컴퓨터 그라픽스,, 멀티미디어, 과학 기술 연산 등 부동소수점 계산기가 사용되는 분야에서 폭 넓게 사용될 수 있다.

NOTES ON A NON-ASSOCIATIVE ALGEBRAS WITH EXPONENTIAL FUNCTIONS III

  • Choi, Seul-Hee
    • 대한수학회논문집
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    • 제23권2호
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    • pp.153-159
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    • 2008
  • For $\mathbb{F}[e^{{\pm}x}]_{\{{\partial}\}}$, all the derivations of the evaluation algebra $\mathbb{F}[e^{{\pm}x}]_{\{{\partial}\}}$ is found in the paper (see [16]). For $M=\{{\partial}_1,\;{\partial}_1^2\},\;Der_{non}(\mathbb{F}[e^{{\pm}x}]_M))$ of the evaluation algebra $\mathbb{F}[e^{{\pm}x},\;e^{{\pm}y}]_M$ is found in the paper (see [2]). For $M=({\partial}_1^2,\;{\partial}_2^2)$, we find $Der_{non}(\mathbb{F}[e^{{\pm}x},\;e^{{\pm}y}]_M))$ of the evaluation algebra $\mathbb{F}[e^{{\pm}x},\;e^{{\pm}y}]_M$ in this paper.

NOTES ON A NON-ASSOCIATIVE ALGEBRAS WITH EXPONENTIAL FUNCTIONS I

  • CHOI, SEUL HEE
    • 호남수학학술지
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    • 제28권2호
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    • pp.197-204
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    • 2006
  • For the evaluation algebra $F[e^{{\pm}{\chi}}]_M$, if M={$\partial$}, the automorphism group $Aut_{non}$($F[e^{{\pm}{\chi}}]_M$) and $Der_{non}$($F[e^{{\pm}{\chi}}]_M$) of the evaluation algebra $F[e^{{\pm}{\chi}}]_M$ are found in the paper [12]. For M={${\partial}^n$}, we find $Aut_{non}$($F[e^{{\pm}{\chi}}]_M$) and $Der_{non}$($F[e^{{\pm}{\chi}}]_M$) of the evaluation algebra $F[e^{{\pm}{\chi}}]_M$ in this paper. We show that a derivation of some non-associative algebra is not inner.

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Signed degree sequences in signed 3-partite graphs

  • Pirzada, S.;Dar, F.A.
    • Journal of the Korean Society for Industrial and Applied Mathematics
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    • 제11권2호
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    • pp.9-14
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    • 2007
  • A signed 3-partite graph is a 3-partite graph in which each edge is assigned a positive or a negative sign. Let G(U, V, W) be a signed 3-partite graph with $U\;=\;\{u_1,\;u_2,\;{\cdots},\;u_p\},\;V\;=\;\{v_1,\;v_2,\;{\cdots},\;v_q\}\;and\;W\;=\;\{w_1,\;w_2,\;{\cdots},\;w_r\}$. Then, signed degree of $u_i(v_j\;and\;w_k)$ is $sdeg(u_i)\;=\;d_i\;=\;d^+_i\;-\;d^-_i,\;1\;{\leq}\;i\;{\leq}\;p\;(sdeg(v_j)\;=\;e_j\;=\;e^+_j\;-\;e^-_j,\;1\;{\leq}\;j\;{\leq}q$ and $sdeg(w_k)\;=\;f_k\;=\;f^+_k\;-\;f^-_k,\;1\;{\leq}\;k\;{\leq}\;r)$ where $d^+_i(e^+_j\;and\;f^+_k)$ is the number of positive edges incident with $u_i(v_j\;and\;w_k)$ and $d^-_i(e^-_j\;and\;f^-_k)$ is the number of negative edges incident with $u_i(v_j\;and\;w_k)$. The sequences ${\alpha}\;=\;[d_1,\;d_2,\;{\cdots},\;d_p],\;{\beta}\;=\;[e_1,\;e_2,\;{\cdots},\;e_q]$ and ${\gamma}\;=\;[f_1,\;f_2,\;{\cdots},\;f_r]$ are called the signed degree sequences of G(U, V, W). In this paper, we characterize the signed degree sequences of signed 3-partite graphs.

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