• 제목/요약/키워드: E2F

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GENERALIZED SINGLE INTEGRAL INVOLVING KAMPEÉ DE FÉRIET FUNCTION

  • Kim, Yong Sup;Ali, Shoukat;Rathie, Navratna
    • 충청수학회지
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    • 제24권2호
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    • pp.205-212
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    • 2011
  • The aim of this paper is to obtain twenty five Eulerian type single integrals in the form of a general single integral involving $Kamp\acute{e}$ de $F\acute{e}riet$ function. The results are derived with the help of the generalized classical Watson's theorem obtained earlier by Lavoie, Grondin and Rathie. A few interesting special cases of our main result are also given.

A NOTE ON THE OSCILLATION CRITERIA OF SOLUTIONS TO SECOND ORDER NONLINEAR DIFFERENTIAL EQUATION

  • Kim, Yong-Ki
    • 한국수학교육학회지시리즈B:순수및응용수학
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    • 제2권1호
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    • pp.53-59
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    • 1995
  • Consider a solution y(t) of the nonlinear equation (E) y" + f(t, y) = 0. A solution y(t) is said to be oscillatory if for every T > 0 there exists $t_{0}$ > T such that y($t_{0}$) = 0. Let F be the class of solutions of (E) which are indefinitely continuable to the right, i.e. y $\in$ F implies y(t) exists as a solution to (E) on some interval of the form [t$\sub$y/, $\infty$). Equation (E) is said to be oscillatory if each solution from F is oscillatory.(omitted)

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중간주파수에서 위상이동 변화와 Langmuir흡착등온식 사이의 관계 (The Relation between the Phase-Shift Profile for the Intermediate Frequencies and the Langmuir Adsorption Isotherm)

  • 천장호;문경현;조종덕
    • 전기화학회지
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    • 제3권1호
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    • pp.25-30
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    • 2000
  • 다결정 Pt/0.1 M $H_2SO_4$수성 전해질 계면에서 중간주파수 구간의 위상이동 변화와 Langmuir흡착등온식 사이의 관계를 교류임피던스 방법 즉 위상이동 방법을 이용하여 연구 조사하였다. 제안된 계면등가회로는 전해질저항($R_S$), Faraday저항$(R_F)$, 흡착유사용량$(C_\varphi)$의 등가회로 요소($C_P$)의 직렬접속으로 구성된다 지연되는 위상이동$(\varphi)$은 음전위(E) 및 주파수(f)에 따르며, $\varphi=-tan^{-1}[1/2{\pi}f(R_s+R_F)C_p]$이다. 중간주파수(6Hz)에서 위상이동 변화$(\varphi\;vs.\;E)$는 Langmuir흡착등온식$(\theta\;vs.\;E)$의 결정에 적용할 수 있는 실험적인 방법이다. 다결정 $Pt/0.1\;M\;H_2SO_4$ 전해질 계면에서 수소의 흡착평형 상수(K)와 흡착표준자유에너지$({\Delta}G_{ads})$는 각각 $1.8\times10^{-4}$와 21.4kJ/mol이며 과전위 수소흡착(OPD H)에 기인한다.

Physicochyemical Properties of $ZrF_4-Based$ Fluoride Glasses Containing Rare-Earth Ions

  • Ishioka, Noriyuki;Ogawa, Kouji;Arakawa, Tsuyoshi
    • The Korean Journal of Ceramics
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    • 제5권4호
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    • pp.375-378
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    • 1999
  • In tho XRD study of $56ZrF_4 \cdot34BaF_2 \cdot4AIF_3 \cdot(6-x)LaF_3 \cdotxLnF_3$ glassdLn=Ce, Nd, Gd, Th), halo pattern charactarktic fo an amorphous sample appeared. When the halo peak angle ($\theta_p$) was converted into a wavenumber with $Qp=4\pi sinG\pi/\lambda(\lambda$ is the wavolongth of the radialion used), it was found that the Qp values varied almost liuearly with the concentration 01 $LnF_3$. The emissiou spect1.a of $Ce^{3-}$-containing fluoride glasses nnder 273 nm excitation had a peak maximum at ea. 300 nm $(Ce^{3+}$ 5d-4f- transition). The maximal intensity of the fluorescence was observed when the $CeF_3$, content was extremely low (ca. 1 mol%j. DTA measurement revealed tbat these fluoride glasses had two crystallization temperatures. In $56ZrF_4. 34BaF_2. 4NF_3. (6-x)LaF_3 .xNdF_3$ glasses, the actmation energies of crystallization obtained from a Kssinger plot were 1.7 and 5.0 eV for the glass with x=2, and 1.9 and 5.6 eV for the glass with x=4.

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Aflatoxin B1 Promotes Cell Growth and Invasion in Hepatocellular Carcinoma HepG2 Cells through H19 and E2F1

  • Lv, Jun;Yu, Ya-Qun;Li, Shu-Qun;Luo, Liang;Wang, Qian
    • Asian Pacific Journal of Cancer Prevention
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    • 제15권6호
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    • pp.2565-2570
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    • 2014
  • H19 is an imprinted oncofetal gene, and loss of imprinting at the H19 locus results in over-expression of H19 in cancers. Aflatoxin B1(AFB1) is regarded as one of the most dangerous carcinogens. Exposure to AFB1 would most easily increase susceptibility to diseases such as hepatocellular carcinoma(HCC) but any possible relationship between AFB1 and H19 is not clear. In present study, we found that AFB1 could up-regulate the expression of H19 and promote cell growth and invasion by hepatocellular carcinoma HepG2 cells. Knocking down H19 RNA co ld reverse the effects of AFB1 on cell growth and invasion. In addition, AFB1 induced the expression of E2F1 and its knock-down could down-regulate H19 expression and suppress cell growth and invasion in hepatocellular carcinoma HepG2 cells. Furthermore, E2F1 over-expression could up-regulate H19 expression and promote cell growth and invasion, with binding to the H19 promoter being demonstrated by chromatin immunoprecipitation assays (ChIP). In summary, our results suggested that aflatoxin B1could promote cell growth and invasion in hepatocellular carcinoma HepG2 cells through actions on H19 and E2F1.

Astaxanthin처리 산란계로부터 생산된 난황이 Mouse Liver Microsome의 산화에 미치는 영향 (Effect of Egg Yolks from Laying Hens Intubated Astaxanthin on the Oxidation of Liver Microsome of Mouse)

  • 김홍출;박숙자;김정곤;박철우;조용운;조현종;하영래
    • 한국식품영양과학회지
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    • 제31권1호
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    • pp.155-159
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    • 2002
  • AEY의 acetone 추출물이 mouse liver microsome의 산화에 미치는 영향을 조사하였다. Mouse liver microsome에 함유된 단백질 AEY 처리가 CEY 처리구에 비해 상대적으로 7~48%정도가 증가하였다. 지방산 분석 결과, CEY 처리에 비해 AEY 처리구에서 stearic acid를 포함하는 포화지방산의 함량비가 상대적으로 높았으며, oleic acid, linoleic acid 등을 함유하는 불포화지방산의 함량비가 현저히 감소하였다. AEY 처리구는 F $e^{2+}$가 관여하는 Asc/F $e^{2+}$, NADPH/F $e^{+2}$ 를 산화유도물질로 사용한 경우에 TC와 비슷하거나 보다 강력한 항산화 효과를 보였다. ABIN이나 CuOOH가 산화유도물질로 작용할 시에는 AEY처리에 의해 유의성있는 항산화 효과가 나타나지 않았다.

Diets with Different Forage/Concentrate Ratios for the Mediterranean Italian Buffalo: In vivo and In vitro Digestibility

  • Fabio, Zicarelli;Calabro, Serena;Piccolo, Vincenzo;D'Urso, Simona;Tudisco, Raffaella;Bovera, Fulvia;Cutrignelli, Monica I.;Infascelli, Federico
    • Asian-Australasian Journal of Animal Sciences
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    • 제21권1호
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    • pp.75-82
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    • 2008
  • In vivo and in vitro digestibility of 6 diets with a forage to concentrate ratio (F/C) ranging from 100 to 50:50 (diet 1: all hay, diet 2: 90:10, diet 3: 80:20, diet 4: 70:30, diet 5: 60:40, diet 6: 50:50) were investigated using 6 buffaloes in a $6{\times}6$ Latin square design. For the in vivo trial, the individual faeces of buffaloes were collected 3 times per day for 7 days. Individual pooled faeces and samples of each diet were analysed for chemical composition and insoluble acid ash (AIA) contents in order to estimate the coefficient of apparent digestibility (ADC). On the last day of the in vivo trial a sample of faeces was collected from each animal and used as inoculum for the in vitro test, using the gas production technique (IVGPT). The in vivo organic matter digestibility (ADC) rose as the percentage of concentrate increased up to the 70:30 (F/C) diet (67.01, 73.03, 78.06 and 79.05, respectively for diets 1, 2, 3 and 4); the other two diets (60:40 and 50:50 F/C) unexpectedly did not follow this trend (75.11 and 79.06, respectively for diet 5 and 6). However, these data agree with the results of the in vitro trial. The ADC was positively correlated with the dOM (p<0.001), but not with the gas production at different times; cumulative gas production recorded at the end of incubation (OMCV) showed an irregular trend and was not closely correlated to degraded OM. Estimation of in vivo digestibility from in vitro fermentation data was acceptable, despite leaving room for improvement.

SELF-ADJOINT INTERPOLATION PROBLEMS IN ALGL

  • Kang, Joo-Ho;Jo, Young-Soo
    • Journal of applied mathematics & informatics
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    • 제14권1_2호
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    • pp.387-395
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    • 2004
  • Given operators X and Y acting on a Hilbert space H, an interpolating operator is a bounded operator A such that AX = Y. An interpolating operator for n-operators satisfies the equation $AX_{i}\;=\;Y_{i}$, for i = 1,2,...,n. In this article, we showed the following: Let H be a Hilbert space and let L be a subspace lattice on H. Let X and Y be operators acting on H. Assume that range(X) is dense in H. Then the following statements are equivalent: (1) There exists an operator A in AlgL such that AX = Y, $A^{*}$ = A and every E in L reduces A. (2) sup ${\frac{$\mid$$\mid${\sum_{i=1}}^n\;E_iYf_i$\mid$$\mid$}{$\mid$$\mid${\sum_{i=1}}^n\;E_iXf_i$\mid$$\mid$}$:n{\epsilon}N,f_i{\epsilon}H\;and\;E_i{\epsilon}L}\;<\;{\infty}$ and = for all E in L and all f, g in H.

IDEMPOTENCE PRESERVING MAPS ON SPACES OF TRIANGULAR MATRICES

  • Sheng, Yu-Qiu;Zheng, Bao-Dong;Zhang, Xian
    • Journal of applied mathematics & informatics
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    • 제25권1_2호
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    • pp.17-33
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    • 2007
  • Suppose F is an arbitrary field. Let ${\mid}F{\mid}$ be the number of the elements of F. Let $T_{n}(F)$ be the space of all $n{\times}n$ upper-triangular matrices over F. A map ${\Psi}\;:\;T_{n}(F)\;{\rightarrow}\;T_{n}(F)$ is said to preserve idempotence if $A-{\lambda}B$ is idempotent if and only if ${\Psi}(A)-{\lambda}{\Psi}(B)$ is idempotent for any $A,\;B\;{\in}\;T_{n}(F)$ and ${\lambda}\;{\in}\;F$. It is shown that: when the characteristic of F is not 2, ${\mid}F{\mid}\;>\;3$ and $n\;{\geq}\;3,\;{\Psi}\;:\;T_{n}(F)\;{\rightarrow}\;T_{n}(F)$ is a map preserving idempotence if and only if there exists an invertible matrix $P\;{\in}\;T_{n}(F)$ such that either ${\Phi}(A)\;=\;PAP^{-1}$ for every $A\;{\in}\;T_{n}(F)\;or\;{\Psi}(A)=PJA^{t}JP^{-1}$ for every $P\;{\in}\;T_{n}(F)$, where $J\;=\;{\sum}^{n}_{i-1}\;E_{i,n+1-i}\;and\;E_{ij}$ is the matrix with 1 in the (i,j)th entry and 0 elsewhere.

Non-Newtonian Intrinsic Viscosities of Biopolymeric and Non-biopolymeric Solutions (II)

  • Jang, Chun-Hag;Kim, Chang-Hong;Ree, Taik-Yue
    • Bulletin of the Korean Chemical Society
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    • 제8권4호
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    • pp.332-335
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    • 1987
  • This paper is a continuation of our previous $paper,^1$ and deals with Eq.(1) (see the text), which was theoretically derived in the $paper,^1$$ [{\eta}]^f\; and\; [{\eta}]^0$ is the intrinsic viscosity at stress f and f = O, respectively. Equation (1) predicts how $[{{\eta}}]^f / [{\eta}]^0$ changes with stress f, relaxation time ${\beta}_2$ of flow unit 2 and a constant $c_2$ related with the elasticity of molecular spring of flow unit 2. In this paper, Eq.(1) is applied to a biopolymer, e.g., poly (${\gamma}$-benzyl L-glutamate), and nonbiopolymers, e.g., polyisobutylene, polystyrene, polydimethylsiloxane and cellulose triacetate. It was found that the $c_2$ factor is zero for non-biopolymers while $c_2{\neq}0$ for biopolymers as found $previously.^1$ Because of the non-Newtonian nature of the solutions, the ratio $[{{\eta}}]^f / [{\eta}]^0$ drops from its unity with increasing f. We found that the smaller the ${\beta}_2,$ the larger the $f_c$ at which the viscosity ratio drops from the unity, vice versa.