• Title/Summary/Keyword: [p, q]-order

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INTERVAL CRITERIA FOR FORCED OSCILLATION OF DIFFERENTIAL EQUATIONS WITH p-LAPLACIAN AND NONLINEARITIES GIVEN BY RIEMANN-STIELTJES INTEGRALS

  • Hassan, Taher S.;Kong, Qingkai
    • Journal of the Korean Mathematical Society
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    • v.49 no.5
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    • pp.1017-1030
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    • 2012
  • We consider forced second order differential equation with $p$-Laplacian and nonlinearities given by a Riemann-Stieltjes integrals in the form of $$(p(t){\phi}_{\gamma}(x^{\prime}(t)))^{\prime}+q_0(t){\phi}_{\gamma}(x(t))+{\int}^b_0q(t,s){\phi}_{{\alpha}(s)}(x(t))d{\zeta}(s)=e(t)$$, where ${\phi}_{\alpha}(u):={\mid}u{\mid}^{\alpha}\;sgn\;u$, ${\gamma}$, $b{\in}(0,{\infty})$, ${\alpha}{\in}C[0,b)$ is strictly increasing such that $0{\leq}{\alpha}(0)<{\gamma}<{\alpha}(b-)$, $p$, $q_0$, $e{\in}C([t_0,{\infty}),{\mathbb{R}})$ with $p(t)>0$ on $[t_0,{\infty})$, $q{\in}C([0,{\infty}){\times}[0,b))$, and ${\zeta}:[0,b){\rightarrow}{\mathbb{R}}$ is nondecreasing. Interval oscillation criteria of the El-Sayed type and the Kong type are obtained. These criteria are further extended to equations with deviating arguments. As special cases, our work generalizes, unifies, and improves many existing results in the literature.

Effects of EMG-Biofeedback Training on Functional Ability and Q-angle in Patellofemoral Pain Syndrome (근전도-생체되먹임 훈련이 무릎넙다리통증의 기능적 능력과 Q-각에 미치는 영향)

  • Park, Seung-Kyu;Kang, Jae-Young
    • The Journal of Korean Physical Therapy
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    • v.26 no.2
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    • pp.68-73
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    • 2014
  • Purpose: The purpose of this study was to investigate the effect of closed kinetic chain exercise using EMG-biofeedback for selective training of the vastus medialis oblique on functional ability and Q-angle in subjects with patellofemoral pain syndrome. Methods: Thirty participants who met the criteria were included in this study. Participants were randomly allocated to the control group (Group I, n=10), closed kinetic chain exercise group (Group II, n=10), and closed kinetic chain exercise using EMG-biofeedback group (Group III, n=10). Intervention was performed in three groups, three times per week, for a period of six weeks. Kujala patellofemoral score and Q-angle were measured before and after the experiment. Results: Some significant differences in kujala patellofemoral score were observed in group II and group III, compared with group I (p<0.01). There was no significant difference on in Q-angle at knee flexion angle $0^{\circ}$. However, some significant differences in Q-angle at knee flexion $60^{\circ}$ were observed in group III, compared with group I (p<0.01). Conclusion: Closed kinetic chain exercise using EMG-biofeedback that provides real-time biometric information on selected muscles in order to increase the efficiency of treatment may be helpful in improvement of functional ability and Q-angle in patellofemoral pain syndrome.

COMMUTATIVITY OF ASSOCIATION SCHEMES OF ORDER pq

  • Hanaki, Akihide;Hirasaka, Mitsugu
    • East Asian mathematical journal
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    • v.29 no.1
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    • pp.39-52
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    • 2013
  • Let (X, S) be an association scheme where X is a finite set and S is a partition of $X{\times}X$. The size of X is called the order of (X, S). We define $\mathcal{C}$ to be the set of positive integers m such that each association scheme of order $m$ is commutative. It is known that each prime is belonged to $\mathcal{C}$ and it is conjectured that each prime square is belonged to $\mathcal{C}$. In this article we give a sufficient condition for a scheme of order pq to be commutative where $p$ and $q$ are primes, and obtain a partial answer for the conjecture in case where $p=q$.

ON THE IDEAL CLASS GROUPS OF REAL ABELIAN FIELDS

  • Kim, Jae Moon
    • Korean Journal of Mathematics
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    • v.4 no.1
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    • pp.45-49
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    • 1996
  • Let $F_0$ be the maximal real subfield of $\mathbb{Q}({\zeta}_q+{\zeta}_q^{-1})$ and $F_{\infty}={\cup}_{n{\geq}0}F_n$ be its basic $\mathbb{Z}_p$-extension. Let $A_n$ be the Sylow $p$-subgroup of the ideal class group of $F_n$. The aim of this paper is to examine the injectivity of the natural $mapA_n{\rightarrow}A_m$ induced by the inclusion $F_n{\rightarrow}F_m$ when $m>n{\geq}0$. By using cyclotomic units of $F_n$ and by applying cohomology theory, one gets the following result: If $p$ does not divide the order of $A_1$, then $A_n{\rightarrow}A_m$ is injective for all $m>n{\geq}0$.

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Performances of Various AGC Algorithms for IEEE802.11p WAVE

  • Jin, Seong-Keun;Yoon, Sang-Hun;Shin, Dae-Kyo
    • Journal of IKEEE
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    • v.18 no.4
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    • pp.502-508
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    • 2014
  • This paper has reviewed the performances of various AGCs which can be adopted in IEEE802.11p modems. IEEE802.11p, a high speed mobile communication standard for vehicles, requires high performance signal detector since the channel impulse responses are varied rapidly in time. In order to select the optimal signal detector, we simulated the performances of three detection methods. One is using RSSI signal, the other is using RSSI signal and I/Q signal, and the third is using I/Q signal through the Monte Carlo simulation. We evaluated the performances of the algorithms using our own system based on MAX 2829 transceiver(MAXIM $Integrated^{TM}$) in a real vehicular environment. As a result, the experiment using Fully I/Q signal derives the most excellent performance with the lowest minimum receiver sensitivity, packet error rate (PER) and false alarm rate (FAR).

COMPLEX BORDISM OF CLASSIFYING SPACES OF THE DIHEDRAL GROUP

  • Cha, Jun Sim;Kwak, Tai Keun
    • Korean Journal of Mathematics
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    • v.5 no.2
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    • pp.185-193
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    • 1997
  • In this paper, we study the $BP_*$-module structure of $BP_*$(BG) mod $(p,v_1,{\cdots})^2$ for non abelian groups of the order $p^3$. We know $grBP_*(BG)=BP_*{\otimes}H(H_*(BG);Q_1){\oplus}BP^*/(p,v_1){\otimes}ImQ_1$. The similar fact occurs for $BP_*$-homology $grBP_*(BG)=BP_*s^{-1}H(H_*(BG);Q_1){\oplus}BP_*/(p,v)s^{-1}H^{odd}(BG)$ by using the spectral sequence $E^{*,*}_2=Ext_{BP^*}(BP_*(BG),BP^*){\Rightarrow}BP^*(BG)$.

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Evaluation of Loess Capability for Adsorption of Total Nitrogen (T-N) and Total Phosphorous (T-P) in Aqueous Solution

  • Kim, Daeik;Ryoo, Keon Sang;Hong, Yong Pyo;Choi, Jong-Ha
    • Bulletin of the Korean Chemical Society
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    • v.35 no.8
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    • pp.2471-2476
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    • 2014
  • The aim of the present study is to explore the possibility of utilizing loess for the adsorption of total phosphorous (T-P) and total nitrogen (T-N) in water. Batch adsorption studies were performed to evaluate the influences of various factors like initial concentration, contact time and temperature on the adsorption of T-P and T-N. The adsorption data showed that loess is not effective for the adsorption of T-N. However, loess exhibited much higher adsorption capacity for T-P. At concentration of $1.0mgL^{-1}$, approximately 97% of T-P adsorption was achieved by loess. The equilibrium data were fitted well to the Langmuir isotherm model. The pseudo-second-order kinetic model appeared to be the better-fitting model because it has higher $R^2$ compared with the pseudo-first-order and intra-particle kinetic model. The theoretical adsorption equilibrium $q_{e,cal}$ from pseudo-second-order kinetic model was relatively similar to the experimental adsorption equilibrium $q_{e,exp}$. The thermodynamic parameters such as free energy ${\Delta}G$, the enthalpy ${\Delta}H$ and the entropy ${\Delta}S$ were also calculated.

Skin Penetration and Localization Characteristics of Lipogel Containing Ascorbyl Palmitate (아스코르빈산 팔미테이트를 함유한 리포겔의 피부 투과 및 잔류 특성)

  • Lee, Sang-Kil;Woo, Hye-Seoung;Lee, Yeon-Ah;Kwon, Yong-Nam;Choi, Young-Wook
    • Journal of Pharmaceutical Investigation
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    • v.31 no.4
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    • pp.225-232
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    • 2001
  • The present study was carried out to observe the effect of liposome dispersed gel formulation (Lipogel) on topical delivery of ascorbyl palmitate (AsP). Neutral and negatively charged MLV liposomes containing AsP were prepared with dimyristoylphosphadtidylcholine (DMPC) and dicetyl phosphate (DCP), and dispersed to poloxamer gel matrix. In the hydrolysis study in rat's skin homogenates, AsP hydrolyzed to ascorbic acid (AsA) according to the first-order kinetics with the rate constant of $2.46{\times}10^{-2}\;min^{-1}$. In the passive skin penetration study using Franz diffusion cell, lipogel systems exhibited the greater values in the flux $(J_s)$ and the amount penetrated $(Q_p)$ compared to control hydrogels containing diethyleneglycol monoethyl ether $(Transcutol^{\circledR})$ as a solubilizing agent and a penetration enhancer for AsP. The total amount penetrated $(Q_{Total})$, which is expressed as a summation of $Q_P\;and\;Q_L$, for lipogel system was about 1.4 times higher in average than that of control hydrogel. However the amount localized in the skin $(Q_L)$ was similar in both formulations. As a result, lipogel system enhanced the skin penetration of AsP, possibly due to the increase in local concentration of AsP by preferential adsorption of liposome to the skin and the enhancing effect of phospholipid in liposome composition. Moreover it was expected that the penetrated AsP would generate AsA during skin penetration by the skin esterase. In conclusion, lipogel formulation was considered as a good candidate for topical delivery of AsP.

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Dynamic Susceptibility Contrast (DSC) Perfusion MR in the Prediction of Long-Term Survival of Glioblastomas (GBM): Correlation with MGMT Promoter Methylation and 1p/19q Deletions

  • Kwon, Yong Wonn;Moon, Won-Jin;Park, Mina;Roh, Hong Gee;Koh, Young Cho;Song, Sang Woo;Choi, Jin Woo
    • Investigative Magnetic Resonance Imaging
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    • v.22 no.3
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    • pp.158-167
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    • 2018
  • Purpose: To investigate the surgical, perfusion, and molecular characteristics of glioblastomas which influence long-term survival after treatment, and to explore the association between MR perfusion parameters and the presence of MGMT methylation and 1p/19q deletions. Materials and Methods: This retrospective study was approved by our institutional review board. A total 43 patients were included, all with pathologic diagnosis of glioblastoma with known MGMT methylation and 1p/19q deletion statuses. We divided these patients into long-term (${\geq}60\;months$, n = 7) and short-term (< 60 months, n = 36) survivors, then compared surgical extent, molecular status, and rCBV parameters between the two groups using Fisher's exact test or Mann-Whitney test. The rCBV parameters were analyzed according to the presence of MGMT methylation and 1p/19q deletions. We investigated the relationship between the mean rCBV and overall survival using linear correlation. Multivariable linear regression was performed in order to find the variables related to overall survival. Results: Long-term survivors (100% [7 of 7]) demonstrated a greater percentage of gross total or near total resection than short-term survivors (54.5% [18 of 33]). A higher prevalence of 1p/19q deletions was also noted among the long-term survivors (42.9% [3 of 7]) than the short-term survivors (0.0% [0 of 36]). The rCBV parameters did not differ between the long-term and short-term survivors. The rCBV values were marginally lower in patients with MGMT methylation and 1p/19q deletions. Despite no correlation found between overall survival and rCBV in the whole group, the short-term survivor group showed negative correlation ($R^2=0.181$, P = 0.025). Multivariable linear regression revealed that surgical extent and 1p/19q deletions, but not rCBV values, were associated with prolonged overall survival. Conclusion: While preoperative rCBV and 1p/19q deletion status are related to each other, only surgical extent and the presence of 1p/19q deletion in GBM patients may predict long-term survival.

Tolerance of Several Woody Plants to Sulphur Dioxide

  • Hwangbo, Jun-Kwon;Lee, Chang-Seok;Kim, Joon-Ho
    • Animal cells and systems
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    • v.4 no.4
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    • pp.337-340
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    • 2000
  • The photosynthetic and stomatal responses of several woody plants (Powlonia coreana, Firmiana simplex, Quercus acutissima Q. variabilis and Q. serrata) to SO$_2$ were investigated in order to understand their ecophysiological tolerance to $SO_2$ Of the plants, P, coreana showed the largest reduction in its photosynthesis in response to exposure of 0.4 ppm $SO_2$ for 20 h. Fumigation of 0.7 ppm $SO_2$ for 20 h caused complete leaf necrosis of P. coreana and f simplex, which made them unavailable for the measurement of photosynthesis. Q. variabilis exhibited the smallest reduction in photosynthesis following exposure of 0.7 ppm $SO_2$ for 20 h. Both stomatal- and non-stomatal inhibition of the plants by $SO_2$ were determined according to equations by lkeda et at. (1992). When exposed to 0.4 ppm $SO_2$ for 20 h, F. simplex and P. coreana showed the lowest stomatal and non-stomatal inhibition, respectively, while Q. variabilis and Q. serrata exhibited the lowest stomatal and non-stomatal inhibition, respectively, in response to 0.7 ppm $SO_2$ for 20 h. The data are discussed with regard to resistance mechanisms of other plants to $SO_2$ exposure and implications for restoration of declined Korean forests.

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