• Title/Summary/Keyword: P2X4

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LIMIT RELATIVE CATEGORY THEORY APPLIED TO THE CRITICAL POINT THEORY

  • Jung, Tack-Sun;Choi, Q-Heung
    • Bulletin of the Korean Mathematical Society
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    • v.46 no.2
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    • pp.311-319
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    • 2009
  • Let H be a Hilbert space which is the direct sum of five closed subspaces $X_0,\;X_1,\;X_2,\;X_3$ and $X_4$ with $X_1,\;X_2,\;X_3$ of finite dimension. Let J be a $C^{1,1}$ functional defined on H with J(0) = 0. We show the existence of at least four nontrivial critical points when the sublevels of J (the torus with three holes and sphere) link and the functional J satisfies sup-inf variational inequality on the linking subspaces, and the functional J satisfies $(P.S.)^*_c$ condition and $f|X_0{\otimes}X_4$ has no critical point with level c. For the proof of main theorem we use the nonsmooth version of the classical deformation lemma and the limit relative category theory.

Anti-bacterial effects of the Na2O-TiO2-P2O5 glass-ceramics added Ag+ ion (은이온을 함유한 Na2O-TiO2-P2O5 glass-ceramic의 항균 특성)

  • Park, No-Hyung;Yoo, Eun-Sung
    • Journal of the Korean Crystal Growth and Crystal Technology
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    • v.21 no.5
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    • pp.210-213
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    • 2011
  • Glass-ceramics composed of $5Na_2O-36CaO-10TiO_2-xP_2O_5$ could be obtained with $P_2O_5$ content as following procedure: 1) leaching out $Ca_3(PO_4)_2$ crystals between $Ca_3(PO_4)_2$ and $NaTi_2(PO_4)_3$ selectively in 1 N HCl solution for 2 days, and 2) exchanging $Na^+$ ion to $Ag^+$ ion in Ag($NO_3$) solution for 1 day. Scanning electron microscope (SEM) and X-rat diffractometer (XRD) were measured to verify the proper synthesis of glass-ceramics. And anti-bacteria test was accomplished using Staphylococus aureus bacteria. In the results of anti-bacteria test, the bacteria were died perfectly after 3 hours.

An Analysis on Electrical Double Layers at the Silicon Semiconductor Interfaces Using the Zeta Potential (Zeta전위에 의한 Silicon 반도체 계면의 전기이중층 해석)

  • Chun, Jang-Ho
    • Journal of the Korean Institute of Telematics and Electronics
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    • v.24 no.2
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    • pp.242-247
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    • 1987
  • Electrophysical phenomena at the silicon semiconductor-electrolyte solution interfaces were analyzed based on the zeta potential of the electrical double layer and microelectrophoresis. The suspensions were composed of the p or n-type silicon particles suspended in the KCI or pH buffer solutions. The approximate diameter of the prepared and sampled sioicon semiconductor pardticles was 1.5\ulcorner. The sign of the zeta poetntials of the p and n-type silicon particles in the KCl and pH buffer solution was positive. A range of electrophoretic mobilities of the p and n-type silicons in the KCl solutions was 5.5-8.9x10**-4 cm\ulcornerV-sec and 4.2-7.9x10**-4cm\ulcornerV-sec, respectively. The range of zeta potentials corresponding to the electrophoretic mobilities is 70.4-114.0mV nad 53.9-101.2mV, respectively. On the other hand, a range of electrophoretic mobilities of the p and n-type silicons in the pH buffer solutions was 1.1x10**-4-2.2x10**-3cm\ulcornerV-sec and 0-2.1x10**-3cm\ulcornerV-sec, respectively. The range of zeta potentials corresponding to the electrophoretic mobilities is 14.1-281.6mV and 0-268.8mV, respectively. The zeta potentials and electrical double layers of the doped silicon semiconductors are decisively influenced by the positively charged ions in the solutions. The maximum values of the zeta potentials in the KCl solutions appeared at a concentration of about 10-\ulcorner. The isoelectric point of the n-type silicon semiconductors appeared at about a pH 7. The effect of the space charge of the doped silicon semiconductors can be neglected compare with the effect of the surface charge.

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p-EQUIVARIANT SPINC-STRUCTURES

  • Cho, Yong-Seung;Hong, Yoon-Hi
    • Bulletin of the Korean Mathematical Society
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    • v.40 no.1
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    • pp.17-28
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    • 2003
  • Let X be a closed, oriented, Riemannian 4-manifold with ${{b_2}^+}(x)\;>\;1$ and of simple type. Suppose that ${\sigma}\;:\;X\;{\rightarrow}\;X$ is an involution preserving orientation with an oriented, connected, compact 2-dimensional submanifold $\Sigma$ as a fixed point set with ${\Sigma\cdot\Sigma}\;{\geq}\;0\;and\;[\Sigma]\;{\neq}\;0\;{\in}\;H_2(X;\mathbb{Z})$. We show that if _X(\Sigma)\;+\;{\Sigma\cdots\Sigma}\;{\neq}\;0$ then the $Spin^{C}$ bundle $\={P}$ is not $\mathbb{Z}_2-equivariant$, where det $\={P}\;=\;L$ is a basic class with $c_1(L)[\Sigma]\;=\;0$.

Defluoridation of Wastewater by Adsorption on Bituminous Coal Fly Ash (유연탄 소각 비산재를 이용한 폐수중의 불소이온 제거)

  • 이성대;박석환;정문식
    • Journal of Environmental Health Sciences
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    • v.19 no.1
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    • pp.51-56
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    • 1993
  • This study was performed to find the ability of bituminous coal fly ash to remove fluoride from water and wastewater at different fluoride concentration, reaction temperature, reaction time and pH. The removal of fluoride is favorable at low concentration, high temperature and acidic pH. With the increase in the initial fluoride concentration, the amount adsorbed increased. Adsorption process was exothermic at pH 2.0. Physisorption process was predominant over pH 2.3, while Chemisorption was under pH 2.3. Fluoride uptake by fly ash was conducted the adherence of fluoride on the active surface sites of adsorbent and its intraparticle diffusion within adsorbent. The values of rate constants of adsorption were 3.028X 10$^{-3}$, 4.715X 10$^{-3}$, 2.88X 10$^{-3}$ (min) and intraparticle diffusion were 1.434X10$^{-3}$, 3.012X10$^{-3}$, 5.635X10$^{-3}$ at each temperatures.

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Application of the Response Surface Methodology and Process Optimization to the Electrochemical Degradation of Rhodamine B and N, N-Dimethyl-4-nitrosoanilin Using a Boron-doped Diamond Electrode (Boron-doped Diamond 전극을 이용한 Rhodamine B와 N, N-Dimethyl-4-nitrosoanilin의 전기화학적 분해에 반응표면분석법의 적용과 공정 최적화)

  • Kim, Dong-Seog;Park, Young-Seek
    • Journal of Environmental Health Sciences
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    • v.36 no.4
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    • pp.313-322
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    • 2010
  • The aim of this research was to apply experimental design methodology to optimization of conditions of electrochemical oxidation of Rhodamine B (RhB) and N, N-Dimethyl-4-nitrosoaniline (RNO, indicative of the OH radical). The reactions of electrochemical oxidation of RhB degradation were mathematically described as a function of the parameters of current ($X_1$), NaCl dosage ($X_2$) and pH ($X_3$) and modeled by the use of the central composite design. The application of response surface methodology (RSM) yielded the following regression equation, which is an empirical relationship between the removal efficiency of RhB and RNO and test variables in a coded unit: RhB removal efficiency (%) = $94.21+7.02X_1+10.94X_2-16.06X_3+3.70X_1X_3+9.05X_2X_3-{3.46X_1}^2-{4.67X_2}^2-{7.09X_3}^2$; RNO removal efficiency (%) = $54.78+13.33X_1+14.93X_2- 16.90X_3$. The model predictions agreed well with the experimentally observed result. Graphical response surface and contour plots were used to locate the optimum point. The estimated ridge of maximum response and optimal conditions for the RhB degradation using canonical analysis was 100.0%(current, 0.80 A; NaCl dosage, 2.97% and pH 6.37).

Knowledge, Attitude and Health Behaviors Related to Cardiovascular Disease Prevention in Postmenopausal Women Workers (폐경기 여성 근로자의 심뇌혈관질환 예방 관련 지식, 태도 및 건강행위에 관한 융합 연구)

  • Choi, Jun Young;Choi, So Young
    • Journal of the Korea Convergence Society
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    • v.10 no.2
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    • pp.339-347
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    • 2019
  • This study was conducted from November 1, 2017 to November 30, 2017 in 268 women in late postmenopausal period in D and S shipyards located in G city. The subjects were divided into two groups according to the risk factors of cerebrovascular disease according to the presence or absence of risk factors of cerebrovascular disease. The subjects were divided into two groups according to their general characteristics, cerebrovascular disease prevention knowledge, attitude and health behavior. The variables that had statistically significant difference in health group and risk group were age (F=92.239, p<.001), cohabitation type ($x^2=20.056$, p<.001), income level ($x^2=39.023$, p<.001), the number of working hours per week (F=32.217, p<.001), the number of working years (F=12.310, p=.001), family history of cardiovascular disease ($x^2=233.442$, p<.001), subjective health status($x^2=19.058$, p=.001). There was a significant difference between the two groups in the degree of knowledge related to prevention of cardiovascular disease (F=2.679, p=.008) and health behavior fulfillment (F=4.339, p<.001). (r=.348, p<.001), the risk group had a higher knowledge (r=.279, p=.002), and the other group Attitude (r=.194, p=.030) showed a statistically significant correlation. Based on this, it is necessary to develop and apply an intervention program considering the characteristics of vulnerable group of cerebrovascular disease.

Factors associated with Pediatric Delirium in the Pediatric Intensive Care Unit (소아중환자실 입원 아동의 섬망 발생 관련 요인)

  • Kim, Hyo Jin;Kim, Dong Hee
    • Child Health Nursing Research
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    • v.25 no.2
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    • pp.103-111
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    • 2019
  • Purpose: This study aimed to investigate incidence of delirium in the pediatric intensive care unit (PICU) and to analyze associated risk factors. Methods: The participants were 95 patients, newborn to 18 years, who were admitted to the PICU. The instruments used were the Richmond Agitation Sedation Scale (RASS), and the Cornell Assessment of Pediatric Delirium. Data analysis was performed using the descriptive, $x^2$ test, t-test, and logistic regression analyses. Results: The incidence of delirium in children admitted to the PICU was 42.1%. There were significant differences according to age ($x^2=14.10$, p=.007), admission type ($x^2=7.40$, p=.007), use of physical restraints ($x^2=26.11$, p<.001), RASS score ($x^2=14.80$, p=.001), need for oxygen ($x^2=5.31$, p=.021), use of a mechanical device ($x^2=9.97$, p=.041), feeding ($x^2=7.85$, p=.005), and the presence of familiar objects ($x^2=29.21$, p<.001). Factors associated with the diagnosis of delirium were the use of physical restraint (odds ratio [OR]=13.82, 95% confidence interval [CI]=4.16~45.95, p<.001) and the presence of familiar objects (OR=0.09, 95% CI=0.03~0.30, p=.002). Conclusion: Periodic delirium assessments and intervention should be actively performed. The use of restraints should be minimized if possible. The caregiver should surround the child with familiar objects and ensure a friendly hospital environment that is appropriate for the child.

STABILITY RESULTS OF POSITIVE WEAK SOLUTION FOR SINGULAR p-LAPLACIAN NONLINEAR SYSTEM

  • KHAFAGY, SALAH;SERAG, HASSAN
    • Journal of applied mathematics & informatics
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    • v.36 no.3_4
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    • pp.173-179
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    • 2018
  • In this paper, we investigate the stability of positive weak solution for the singular p-Laplacian nonlinear system $-div[{\mid}x{\mid}^{-ap}{\mid}{\nabla}u{\mid}^{p-2}{\nabla}u]+m(x){\mid}u{\mid}^{p-2}u={\lambda}{\mid}x{\mid}^{-(a+1)p+c}b(x)f(u)$ in ${\Omega}$, Bu = 0 on ${\partial}{\Omega}$, where ${\Omega}{\subset}R^n$ is a bounded domain with smooth boundary $Bu={\delta}h(x)u+(1-{\delta})\frac{{\partial}u}{{\partial}n}$ where ${\delta}{\in}[0,1]$, $h:{\partial}{\Omega}{\rightarrow}R^+$ with h = 1 when ${\delta}=1$, $0{\in}{\Omega}$, 1 < p < n, 0 ${\leq}$ a < ${\frac{n-p}{p}}$, m(x) is a weight function, the continuous function $b(x):{\Omega}{\rightarrow}R$ satisfies either b(x) > 0 or b(x) < 0 for all $x{\in}{\Omega}$, ${\lambda}$ is a positive parameter and $f:[0,{\infty}){\rightarrow}R$ is a continuous function. We provide a simple proof to establish that every positive solution is unstable under certain conditions.

$Pb_{2}Sr_{2}(Y_{1-x}Ca_{x})Cu_{3}O_{8+{\delta}}$ 계 화합물의 상평형과 제조 공정

  • 정동운
    • Proceedings of the Materials Research Society of Korea Conference
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    • 1994.11a
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    • pp.118-118
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    • 1994
  • Processings of the P $b_2$S $r_2$( $Y_{1-x}$ C $a_{x}$) C $u_3$ $O_{8+{\delta}}$ (2213)system for x=0.4-0.6 to control deleterious oxidative decomposition have been studied. Our results show that comounds are stable at both low p $O_2$ and high p $O_2$ if they are suitably oxidized. Various oxidation and deoxidation procedures have been investigated in order tp determine the optimum hole concentration in the Cu $O_2$layers for the maximum $T_{c}$. In cases x=0.5 and x=0.6, the optimum hole concentration in the 2213-phase is achieved, but with accelerated oxidative decomposition. Destite this, the maximum $T_{c}$~80-83K for the 2213-phase can be deduced when x=0.5 to 0.6 to 0.6

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