• Journal of applied mathematics & informatics
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• 제36권3_4호
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• pp.237-244
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• 2018

Let ${\mathcal{H}}$ be an infinite dimensional separable Hilbert space with a fixed orthonormal base $\{e_1,e_2,{\cdots}\}$. Let L be the subspace lattice generated by the subspaces $\{[e_1],[e_1,e_2],[e_1,e_2,e_3],{\cdots}\}$ and let $Alg{\mathcal{L}}$ be the algebra of bounded operators which leave invariant all projections in ${\mathcal{L}}$. Let p and q be natural numbers (p < q). Let ${\mathcal{A}}$ be a linear manifold in $Alg{\mathcal{L}}$ such that $T_{(p,q)}=0$ for all T in ${\mathcal{A}}$. If ${\mathcal{A}}$ is a Lie ideal, then $T_{(p,p)}=T_{(p+1,p+1)}={\cdots}=T_{(q,q)}$ and $T_{(i,j)}=0$, $p{\eqslantless}i{\eqslantless}q$ and i < $j{\eqslantless}q$ for all T in ${\mathcal{A}}$.

• Journal of the Korean Data and Information Science Society
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• 제7권2호
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• pp.289-294
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• 1996

This paper considers the limit of the ratio of two incomplete beta functions $I_{x}(p+s,q+r)\;to\;I_{x}(p,q)\;as\;p+q{\rightarrow}{\infty}$. The results show that the limits depend on r,s,x and the limit of p/(p+q).

• Journal of applied mathematics & informatics
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• 제30권1_2호
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• pp.321-325
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• 2012

In this paper, we consider twisted $q$-Euler polynomials and define a $p$-adic $q$-transfer operator (see [6]). From this operator, we investigate the eigenvalues of the $p$-adic $q$-transfer operator on the space of twisted $q$-Euler polynomials.

• 대한수학회지
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• 제36권3호
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• pp.633-648
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• 1999

In this paper, for any two bipartite ordered sets P and Q, we define the convolution P * Q of P and Q. For dim(P)=s and dim(Q)=t, we prove that s+t-(U+V)-2 dim(P*Q) s+t-(U+V)+2, where U+V is the max-mn integer of the certain realizers. In particular, we also prove that dim(P)=n+k- {{{{ { n+k} over {3 } }}}} for 2 k n<2k and dim(Pn ,k)=n for n 2k, where Pn,k=Sn*Sk is the convolution of two standard ordered sets Sn and Sk.

• Asian Pacific Journal of Cancer Prevention
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• 제16권9호
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• pp.3723-3727
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• 2015

The p53 tumor suppressor protein is a principal mediator of growth arrest, senescence, and apoptosis in response to a broad array of cellular damage. p53 is a substrate for the ubiquitin-proteasome system, however, the ubiquitin-conjugating enzymes (E2s) involved in p53 ubiquitination have not been well studied. UBE2Q1 is a novel E2 ubiquitin conjugating enzyme gene. Here, we investigated the effect of UBE2Q1 overexpression on the level of p53 in the MDA-MB-468 breast cancer cell line as well as the interaction between UBE2Q1 and p53. By using a lipofection method, the p53 mutated breast cancer cell line, MDA-MB-468, was transfected with the vector pCMV6-AN-GFP, containing UBE2Q1 ORF. Western blot analysis was employed to verify the overexpression of UBE2Q1 in MDA-MB-468 cells and to evaluate the expression level of p53 before and after cell transfection. Immunoprecipitation and GST pull-down protocols were used to investigate the binding of UBE2Q1 to p53. We established MDA-MB-468 cells that transiently expressed a GFP fusion proteins containing UBE2Q1 (GFP-UBE2Q1). Western blot analysis revealed that levels of p53 were markedly lower in UBE2Q1 transfected MDA-MB-468 cells as compared with control MDA-MB-468 cells. Both in vivo and in vitro data showed that UBE2Q1 co-precipitated with p53 protein. Our data for the first time showed that overexpression of UBE2Q1can lead to the repression of p53 in MDA-MB-468 cells. This repression of p53 may be due to its UBE2Q1 mediated ubiquitination and subsequent proteasome degradation, a process that may involve direct interaction of UBE2Q1with p53.

• 한국지구과학회지
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• 제27권4호
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• pp.475-485
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• 2006

본 연구에서는 김천과 목포 대의 ${Q_P}^{-1}$과 ${Q_S}^{-1}$을 비교함으로써 남한 중 서부 일대 지각의 물리적 성질을 알아보았다. ${Q_P}^{-1}$과 ${Q_S}^{-1}$은 한국지질자원연구원에서 운영중인 2개 관측소인 KMC(김천), MUN(무안) 지진 자료와 기상청에서 운영하는 4개 관측소인 CPN(추풍령), KUC(거창), MOP(목포), WAN(완도) 지진 기록을 바탕으로 확장 코다 규격화법을 이용하여 구하였다. 남한 중부의 ${Q_P}^{-1}$은 $(1.4{\pm}3.9){\times}10^{-3}$에서 $(2.3{\pm}3.5){\times}10^{-4},\;{Q_S}^{-1}$은 $(1.8{\pm}1.3){\times}10^{-3}$에서 $(1.9{\pm}1.5){\times}10^{-4}$이고, 남한 남서부의 ${Q_P}^{-1}$ 값은 $(5.9{\pm}4.8){\times}10^{-3}$에서 $(2.2{\pm}3.8){\times}10^{-4},\;{Q_S}^{-1}$ 값은 $(0.5{\pm}2.8){\times}10^{-3}$에서 $(1.8{\pm}1.6){\times}10^{-4}$으로 모두 주파수가 3.0 Hz에서 24 Hz로 늘어남에 따라 그 값이 감소하는 주파수 의존적 특성을 보인다. 이들 값을 주파수의 지수 형태로 나타내면 중부는 ${Q_P}^{-1}$이 $0.003f^{-0.49},\;{Q_S}^{-1}$이 $0.005f^{-1.03}$, 남서부는 ${Q_P}^{-1}$이 $0.026f^{-1.47},\;{Q_S}^{-1}$이 $0.001f^{-0.49}$로 이 값들은 지진학적으로 안정한 지역의 값과 거의 유사하다. 그러나 남서부의 ${Q_P}^{-1}$ 값이 다소 높은데, 이는 자료수의 부족 때문이라고 추정된다.

• 한국지구과학회지
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• 제22권6호
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• pp.500-511
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• 2001

양산단층이 지나는 한국 남동지방 지각의 Q$_P^{-1}$ 및 Q$_S^{-1}$를 한국자원연구소가 설치한 9점의 지진관측소 자료를 바탕으로 확장 Coda 규격화법을 이용하여 구하였다 1994년 12월부터 2000년 2월에 일어난 근지지진에서 707개 지진기록에 대하여 1${\sim}$2, 2${\sim}$4, 4${\sim}$8, 8${\sim}$16및 16${\sim}$32Hz의 대역필터를 적용하여 분석한 결과, 각 관측점의 Q$_P^{-1}$는 (7${\pm}$2)${\times}$10$^{-3}$에서 (5${\pm}$4)${\times}$10$^{-4}$으로, Q$_S^{-1}$는 5${\pm}$4)${\times}$10$^{-4}$에서 (5${\pm}$2)${\times}$10$^{-4}$로 주파수가 1.5Hz에서 24Hz로 늘어남에 따라 줄어드는 주파수 의존성이 보인다. 이들 값의 지수 회귀선은 Q$_P^{-1}$가 0.009(${\pm}$0.003)f$^{-1.05({\pm}0.14)$, Q$_S^{-1}$가 0.004(${\pm}$0.001)f$^{-0.75({\pm}0.14)$)이다.

• Journal of Veterinary Science
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• 제21권5호
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• pp.69.1-69.11
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• 2020

Background: An inappropriate Q angle may affect the biomechanics of the canine patellofemoral joint. Objectives: The purpose of this study was to evaluate the effects of changes in quadriceps angle (Q angle) on patellofemoral joint pressure distribution in dogs. Methods: Eight stifles were positioned at 45, 60, 75, 90, 105, and 120° of flexion in vitro, and 30% body weight was applied through the quadriceps. Patellofemoral contact pressure distribution was mapped and quantified using pressure-sensitive film. For the pressure area, mean pressure, peak pressure, medial peak pressure, and lateral peak pressure, differences between groups according to conditions for changing the Q angle were statistically compared. Results: Increases of 10° of the Q angle result in increases in the pressure area (P = 0.04), mean pressure (P = 0.003), peak pressure, and medial peak pressure (P ≤ 0.01). Increasing the Q angle by 20° increases the pressure area (P = 0.021), mean pressure (P ≤ 0.001), peak pressure (P ≤ 0.01), and medial peak pressure (P ≤ 0.01) significantly, and shows higher mean (P ≤ 0.001) and peak pressures than increasing by 10°. Decreasing the Q angle increases the mean pressure (P = 0.013), peak pressure, and lateral peak pressure (P ≤ 0.001). Conclusions: Both increases and decreases in the Q angle were associated with increased peak patellofemoral pressure, which could contribute to the overloading of the cartilage. Therefore, the abnormal Q angle should be corrected to the physiologically normal value during patellar luxation repair and overcorrection should be avoided.

• Journal of the Korean Statistical Society
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• 제23권2호
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• pp.367-378
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• 1994

Let P and Q be probability measures of a measurable space $(\Omega, F)$, and ${F_n}_{n \geq 1}$ be a sequence of increasing sub $\sigma$-fields which generates F. For each $n \geq 1$, let $P_n$ and $Q_n$ be the restrictions of P and Q to $F_n$, respectively. Under the assumption that $Q_n \ll P_n$ for every $n \geq 1$, a zero-one condition is derived for P and Q to have the dichotomy, i.e., either $Q \ll P$ or $Q \perp P$. Then using this condition and the Kolmogorov's zero-one law, we give new and simple proofs of the dichotomy theorems for a pair of Gaussian measures and Poisson processes with examples.

• 대한수학회보
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• 제55권2호
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• pp.599-610
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• 2018

We aim to present some formulas for Saigo hypergeometric fractional integral and differential operators involving (p, q)-extended Bessel function $J_{{\nu},p,q}(z)$, which are expressed in terms of Hadamard product of the (p, q)-extended Gauss hypergeometric function and the Fox-Wright function $_p{\Psi}_q(z)$. A number of interesting special cases of our main results are also considered. Further, it is emphasized that the results presented here, which are seemingly complicated series, can reveal their involved properties via those of the two known functions in their respective Hadamard product.