• 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 ${\mathcal{A}}$.

• 대한수학회보
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• 제61권4호
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• pp.959-968
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• 2024

Suppose f belongs to the Bloch space with f(0) = 0. For 0 < r < 1 and 0 < p < ∞, we show that $$M_p(r,\,f)\,=\,({\frac{1}{2\pi}}{\int_{0}^{2\pi}}\,{\mid}f(re^{it}){\mid}^pdt)^{1/p}\,{\leq}\,({\frac{{\Gamma}(\frac{p}{2}+1)}{{\Gamma}(\frac{p}{2}+1-k)}})^{1/p}\,{\rho}{\mathcal{B}}(log\frac{1}{1-r^2})^{1/2},$$ where ρʙ(f) = sup_z∈ⅅ(1 - |z|²)|f'(z)| and k is the integer satisfying 0 < p - 2k ≤ 2. Moreover, we prove that for 0 < r < 1 and p > 1, $${\parallel}f_r{\parallel}_{B_q}\,{\leq}\,r\,{\rho}{\mathcal{B}}(f)(\frac{1}{(1-r^2)(q-1)})^{1/q},$$ where f_r(z) = f(rz) and ||·||ʙ_q is the Besov seminorm given by ║f║ʙ_q = (∫_𝔻 |f'(z)|^q(1-|z|²)^q-2dA(z)). These results improve previous results of Clunie and MacGregor.

• 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.

• 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.

• 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.

• 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.