• Title/Summary/Keyword: condition (P)

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EXISTENCE OF A POSITIVE INFIMUM EIGENVALUE FOR THE p(x)-LAPLACIAN NEUMANN PROBLEMS WITH WEIGHTED FUNCTIONS

  • Kim, Yun-Ho
    • Korean Journal of Mathematics
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    • v.22 no.3
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    • pp.395-406
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    • 2014
  • We study the following nonlinear problem $-div(w(x){\mid}{\nabla}u{\mid}^{p(x)-2}{\nabla}u)+{\mid}u{\mid}^{p(x)-2}u={\lambda}f(x,u)$ in ${\Omega}$ which is subject to Neumann boundary condition. Under suitable conditions on w and f, we give the existence of a positive infimum eigenvalue for the p(x)-Laplacian Neumann problem.

On Stationarity of TARMA(p,q) Process

  • Lee, Oesook;Lee, Mihyun
    • Journal of the Korean Statistical Society
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    • v.30 no.1
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    • pp.115-125
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    • 2001
  • We consider the threshold autoregressive moving average(TARMA) process and find a sufficient condition for strict stationarity of the proces. Given region for stationarity of TARMA(p,q) model is the same as that of TAR(p) model given by Chan and Tong(1985), which shows that the moving average part of TARMA(p,q) process does not affect the stationarity of the process. We find also a sufficient condition for the existence of kth moments(k$\geq$1) of the process with respect to the stationary distribution.

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On Strict Stationarity of Nonlinear Time Series Models without Irreducibility or Continuity Condition

  • Lee, Oe-Sook;Kim, Kyung-Hwa
    • Journal of the Korean Data and Information Science Society
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    • v.18 no.1
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    • pp.211-218
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    • 2007
  • Nonlinear ARMA model $X_n\;=\;h(X_{n-1},{\cdots},X_{n-p},e_{n-1},{\cdots},e_{n-p})+e_n$ is considered and easy-to-check sufficient condition for strict stationarity of {$X_n$} without some irreducibility or continuity assumption is given. Threshold ARMA(p, q) and momentum threshold ARMA(p, q) models are examined as special cases.

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Existence Condition for the Stationary Ergodic New Laplace Autoregressive Model of order p-NLAR(p)

  • Kim, Won-Kyung;Lynne Billard
    • Journal of the Korean Statistical Society
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    • v.26 no.4
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    • pp.521-530
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    • 1997
  • The new Laplace autoregressive model of order 2-NLAR92) studied by Dewald and Lewis (1985) is extended to the p-th order model-NLAR(p). A necessary and sufficient condition for the existence of an innovation sequence and a stationary ergodic NLAR(p) model is obtained. It is shown that the distribution of the innovation sequence is given by the probabilistic mixture of independent Laplace distributions and a degenrate distribution.

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ON A CONDITION OF OSCILLATORY OF 3-ORDER DIFFERENTIAL EQUATION

  • Cho, In-Goo
    • The Pure and Applied Mathematics
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    • v.2 no.1
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    • pp.35-41
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    • 1995
  • We consider the linear differential equations y〃'+ P($\chi$)y'+Q($\chi$)y=0 (1)(y"+P($\chi$)y)'-Q($\chi$)y =0 (2) Where (2) in the adjoint of (1) and P($\chi$), Q($\chi$) are continuous functions satisfying P($\chi$)$\geq$0, Q($\chi$)$\leq$0, P($\chi$)-Q($\chi$)$\geq$0 on [a, ${\alpha}$). (3) In this, we show that a condition a oscillatory of(1).(omitted)

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Efficiency of Dyes Extraction and Dyeing of Safflower according to pH Condition (pH에 따른 홍화(紅花)의 색소(色素) 추출(抽出)과 염색(染色)의 효율성(效率性)``)

  • Kim, Kyung-Sun;Jeon, Dong-Won;Oh, Ha-Na;Lee, Hye-Yeon
    • Journal of Fashion Business
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    • v.11 no.2
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    • pp.102-112
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    • 2007
  • Effect of the pH condition was examined on extraction and dyeing of the yellow and red dyes of safflower. Absorption of dye solution extracted from safflower was changed by pH of solvent. In the case of yellow dyes, cotton and ramie weren't dyed regardless of pH of dye bath, but silks were significantly dyed at pH4. Raw silk showed better dyeability than refined silk. In the case of red dyes, cotton and ramie absorbed red dyes selectively, but silks absorbed yellow dyes more significantly than red dyes. Efficiency of extraction and dyeing of yellow dyes in acidic range were find out higher than that in neutral range. Red dyes was effectively extracted at pH11 and dyed at pH6.

Survivals of Lactic Acid Bacteria and its Characteristics under the Acidic and Anaerobic Condition (혐기적 산성조건하에서 젖산균의 생존과 그 특성)

  • 신용서;김성효;이갑상
    • Microbiology and Biotechnology Letters
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    • v.23 no.4
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    • pp.373-377
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    • 1995
  • We investigated the survival, $\beta$-galactosidase activity and cellular permeability of lactic acid bacteria such as Lactobacillus acidophilus ATCC 4356, Lactobacillus casei subsp. casei IFO 3533, Streptococcus thermophilus KCTC 2185, Lactobacillus delbrueckii subsp. lactis ATCC 4797, and Lactobacillus delbrueckii subsp. bulgaricus ATCC 11842 in anaerobic condition of pH 1.5-3.5 range. Numbers of all tested viable cells did not decrease at pH 3.5, but decreased rapidly at pH 1.5 and pH 2.5 during 2 hour incubation at modified EG medium. Immediately after 2 hour incubation, the decrease in population at pH 1.5 and pH 2.5 was about 6-8 and 5-7 log cycles/ml, respectively. Lactobacillus acidophilus ATCC 4356 showed the higest survival of all tested bacteria. The $\beta$-galactosidase activity from Lactobacillus delbrueckii subsp. bulgaricus ATCC 11842 and Streptococcus thermophilus KCTC 2185 decreased rapidly at pH 1.5 and 2.5, but there was a little decrease at pH 3.5. The cellular permeability that was measured by the leakage of intracellular materials increased with decrease of pH. These results suggest that the ingested lactic acid bacteria may be destroyed in contact with low pH of gastric acid.

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Effect of Kinesiology Taping for Ankle Instability in Stroke Patients

  • Oh, Donghwan;Park, Jaeyoung;Kim, Jinuk
    • Journal of International Academy of Physical Therapy Research
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    • v.11 no.1
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    • pp.1950-1953
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    • 2020
  • Background: Ankle instability usually occurs after stroke, and contributes to unsafe walking and associated risk of falling in the affected patients. Objective: To investigate the effects of kinesiology taping (KT) on gait and balance ability (center of pressure, CoP) in patients with ankle instability after stroke. Design: One group, pre-post design. Methods: A total of 11 patients with ankle instability after stroke were enrolled. In all subjects, the gait and balance ability were assessed under 2 conditions: KT and barefoot. Gait and balance ability was assessed using GAITRite system and FDM-S platform. Results: Comparison between KT and barefoot condition, KT condition was significantly higher in velocity, cadence, step length, and stride length than barefoot condition (P<.05). KT condition was significantly lower in CoP path length and sway speed than barefoot condition (P<.05). Conclusion: KT indicated potential as a helpful method for walking and balancing ability in patients with ankle instability after stroke. Therefore, this study recommends KT as an option applicable to the stroke with ankle instability.

Effect on Nutrients Removal of Algae in Aerobic High Rate Pond by Irradiance Period and pH (호기성 고율 안정조에서 빛의 조사 기간과 pH가 조류의 영양물질 제거에 미치는 영향)

  • 공석기;안승구
    • Journal of Environmental Science International
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    • v.6 no.2
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    • pp.141-152
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    • 1997
  • The pilot plant had been made so as to be an association system from the various items managed to have degrees of efficiency and It have been done to consider the experimental result with irradiance period and pH influence of all major things to treatment function of Waste Stabilization Pond. The results are as following. The attained results for continuous & cyclic irradiance 1. 24L.-reactor was prior to 12L.-12D.-reactor on oxygen generation & algal production ability. 2. 24L.-reactor was prior to 12L.-12D.-reactor on nutrients removal efficiency. 3. In 24L.-reactor it maintained 5mg/L∼6mg/L, DO concent enough to a fish's survival. The attained results for pH condition 1. Oxygen generation ^ algal production in pH 4-reactor were higher than those in pH 10-reactor. 2. The acidic condition at pH 4 and alkalic condition at pH 10 did not so much affect an algal growth and nutrients removal. The attained results for whole 1. In view of the results appeared as [(NH3-N)+(NO3-N)] removal efficiency, 89.1%∼93.9% and PO4-P removal efficiency, 34.3%∼83.7% & COD removal efficiency, 88.5%∼93.9%. It is possible to treat the wastewater with starch and pH which have been known as thedifficult problem. 2. At the point of non using methanol to nitrificate NO3-N, the nutrients removal method by using an algal growth is the most economical method in the whole nutrients removal methods. 3. The nutrients removal method by using an algal growth contributes to natural ecosystem. 4. The nutrients removal method by using an algal growth is excellant in the prevention against the eutrophication.

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The Analysis of Center of Pressure(COP) Displacement under Loading Position during Walking (보행 시 부하 위치에 따른 족저압 중심(COP) 이동 분석)

  • Park, Soo-Jin;Kim, Jin-Sang
    • Journal of the Korean Society of Physical Medicine
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    • v.5 no.1
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    • pp.15-24
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    • 2010
  • Purpose : The purpose of this study was to investigate the effect of loading position on plantar center of pressure(COP) displacement when carrying a schoolbag during walking. Methods : Forty-four normal subjects were randomly assigned to five groups according to the method of carrying a schoolbag. The carrying a schoolbag methods were classified into five conditions: no bag (condition 1), a backpack (condition 2), a shoulder bag (condition 3), a cross bag (condition 4), a one-hand bag (condition 5). COP displacement such as anteroposterior distance and mediolateral distance of COP were measured with F-scan system. The repeated one-way analysis of variance (ANOVA) and independent t-test were used to confirm the statistical significance. Results : In the comparison of parameters of COP displacement between conditions, anteroposterior distance and mediolateral distance in the left foot and mediolateral distance in the right foot were not significantly different(p>.05), but anteroposterior diatance in the right foot was significantly different(p>.05). Between left and right foot, at condition 1 and 5 the mediolateral distance of COP was significantly different(p<.05) but anteroposterior distance at condition 1 and 5, anteroposterior distance and mediolateral distance of COP at condition 2, 3 and 4 were not significantly different(p>.05). Conclusion : These findings showed that the various loading position by five types of carrying a schoolbag didn't have influence significantly on COP displacement on during walking because of mechanism of postural adaption.