• Title/Summary/Keyword: $\Delta$L

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Study on Adsorption Characteristics of Erythrosine Dye from Aqeous Solution Using Activated Carbon (활성탄에 의한 에리스로신 염료수용액의 흡착특성에 관한 연구)

  • Lee, Jong-Jib
    • Applied Chemistry for Engineering
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    • v.22 no.2
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    • pp.224-229
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    • 2011
  • Adsorption characteristics of erythrosine dye onto the activated carbon has been investigated in a batch system with respect to initial concentration, contact time and temperature. Kinetic studies of the adsorption of erythrosine were carried out at 298 K, using aqueous solutions with 100, 250 and 500 mg/L concentration of erythrosine. The adsorption process followed a pseuo second order model, and the adsorption rate constant (k2) decreased with increasing the initial concentration of erythrosine. The equilibrium process can be well discribed by Freundlich isotherm in the temperature range from 298 to 318 K. Free energy of adsorption (${\Delta}G^o$), enthalpy (${\Delta}H^o$), and entropy (${\Delta}S^o$) change were calculated to predict the nature the adsorption. The estimated values for ${\Delta}G^o$ were -3.72~-9.62 kJ/mol over the activated carbon at 250 mg/L, indicated toward a spontaneous process. The positve value for ${\Delta}H^o$ indicates that the adsorption of erythrosine dye on activated carbon is an endothermic process.

OSCILLATION OF NEUTRAL DIFFERENCE EQUATIONS

  • Koo, Nam Jip
    • Journal of the Chungcheong Mathematical Society
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    • v.12 no.1
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    • pp.125-131
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    • 1999
  • We obtain some sufficient conditions for oscillation of the neutral difference equation with positive and negative coefficients $${\Delta}(x_n-cx_{n-m})+px_{n-k}-qx_{n-l}=0$$, where ${\Delta}$ denotes the forward difference operator, m, k, l, are nonnegative integers, and $c{\in}[0,1),p,q{\in}\mathbb{R}^+$.

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THE MAXIMAL OPERATOR OF BOCHNER-RIESZ MEANS FOR RADIAL FUNCTIONS

  • Hong. Sung-Geum
    • Bulletin of the Korean Mathematical Society
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    • v.38 no.1
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    • pp.93-100
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    • 2001
  • Author proves weak type estimates of the maximal function associated with the Bochner-Riesz means while it is claimed p=2n/(n+1+$2\delta) and 0<\delta\leq(n-1)/2$ that the maximal function is bounded on L^p-{rad}$.

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A Study on Denitrification Efficiency with External Carbon Sources in Pilot-scale Modified SBR (Pilot-scale modified SBR 공정에서 외부탄소원의 종류에 따른 탈질효율 비교 연구)

  • 서인석;김병군;홍성택;정위득
    • Journal of environmental and Sanitary engineering
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    • v.17 no.3
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    • pp.52-59
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    • 2002
  • Pilot-scale PSSBR(Phase Separated Sequencing Batch Reactor) was operated to evaluate requirement of external carbon sources(${\Delta}gCOD/{\Delta}gNO_3^{-}-N$) in denitrification. Methanol and fermented food waste were used as external carbon sources. Methanol and fermented food waste were fed to the anoxic state of first reactor and concentration were 50 and 40 mgCOD/L on the basis of concentration in reactor, respectively. In case that external carbon source was not used, average $NO_3^{-}-N$ concentration in effluent was 22.49 mg/L. When methanol and fermented food waste were fed, average $NO_3^{-}-N$ concentration in effluent were 10.13 mg/L and 6.3 mg/L, respectively and requirement of external carbon sources were 4.04 and 2.5 ${\Delta}gCOD/{\Delta}gNO_3^{-}-N$, respectively. Fermented food waste was better than methanol in denitrification efficiency. Therefore fermented food waste could be one of the excellent external carbon sources for nitrogen removal in biological nutrient removal process.

PAIR DIFFERENCE CORDIAL LABELING OF PETERSEN GRAPHS P(n, k)

  • R. PONRAJ;A. GAYATHRI;S. SOMASUNDARAM
    • Journal of Applied and Pure Mathematics
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    • v.5 no.1_2
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    • pp.41-53
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    • 2023
  • Let G = (V, E) be a (p, q) graph. Define $${\rho}=\{{\frac{2}{p}},\;{\text{{\qquad} if p is even}}\\{\frac{2}{p-1}},\;{{\text{if p is odd}}$$ and L = {±1, ±2, ±3, … , ±ρ} called the set of labels. Consider a mapping f : V ⟶ L by assigning different labels in L to the different elements of V when p is even and different labels in L to p-1 elements of V and repeating a label for the remaining one vertex when p is odd.The labeling as defined above is said to be a pair difference cordial labeling if for each edge uv of G there exists a labeling |f(u) - f(v)| such that ${\mid}{\Delta}_{f_1}-{\Delta}_{f^c_1}{\mid}{\leq}1$, where ${\Delta}_{f_1}$ and ${\Delta}_{f^c_1}$ respectively denote the number of edges labeled with 1 and number of edges not labeled with 1. A graph G for which there exists a pair difference cordial labeling is called a pair difference cordial graph. In this paper we investigate pair difference cordial labeling behaviour of Petersen graphs P(n, k) like P(n, 2), P(n, 3), P(n, 4).

The Effect of 15% Carbamide Peroxide on the Surface Roughness and Staining of Esthetic Restoratives (15% Carbamide Peroxide가 심미수복재의 표면조도와 착색에 미치는 영향)

  • Kim, Soo-Hwa;Choi, Hye-Sook;Roh, Jj-Yeon;Kim, Kwang-Mahn
    • Journal of dental hygiene science
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    • v.13 no.2
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    • pp.165-173
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    • 2013
  • The purpose of this study was to evaluate the surface change after 15% carbamide peroxide home bleaching to various restorative materials (composite resin [CR], resin modified glass ionomer [RMGI] and glass ionomer [GI]) and to observe the effect of surface condition of the materials on re-staining. Three esthetic restorative materials (Filtek Z250, 3M, USA; Fuji II LC, GC, Japan; Fuji II, GC, Japan) were used in this study. Twenty specimens per material group were made and divided into two groups (bleached and control). The specimens were immersed in coffee after applying bleaching agent. The color change and surface roughness were measured before and after bleaching and after immersion in coffee. The data were analyzed with SPSS 18.0. The results were as follows: 1. The color of all experiment groups was significantly changed after bleaching (p<0.05). RMGI was the greatest value of ${\Delta}E^*$ and ${\Delta}L^*$. GI and CR groups were in ordering (p<0.05). The ${\Delta}a^*$ value was decreased GI, RMGI and CR. RMGI was only significantly decreased in ${\Delta}b^*$ value (p<0.05). 2. The surface roughness before and after bleaching was significantly different on CR, RMGI and GI (p<0.05). 3. After staining with coffee, the value of ${\Delta}E^*$ was increased in GI, RMGI and CR, furthermore GI and RMGI showed significant difference in the bleaching groups (p<0.05). The ${\Delta}L^*$ value of GI and RMGI was significantly decreased. 4. The change of surface roughness after staining was not significantly different in all groups (p>0.05). The maintenance of color stability in esthetic restorations is one of the most important properties. Tooth whitening is for the aesthetic. Therefore, dental professionals should notice to patients about re-staining after tooth whitening. They should give an instruction that how to prevent and which kinds of agents could be stained.

Stability of Tris(2-cyclohexylaminoethyl)amine-Zn(II) Complex (Tris(2-cyclohexylaminoethyl)amine-Zn(II) 착물의 안정성)

  • Yong Woon Shin;Hyun Sook Baek;Jae-Kyung Yang;Jineun Kim;Moo Lyong Seo
    • Journal of the Korean Chemical Society
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    • v.47 no.2
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    • pp.121-126
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    • 2003
  • Tris(2-cyclohexylaminoethyl)amine (L) was synthesized by the Schiff base condensation reaction of tris(2-aminoethyl)amine with cyclohexanone, followed by reduction. The thermodynamic characteristics, mole ratio and formation constant of [Zn(II)-L] complex were measured by the cyclic voltammetry and isothermal titration. In the case of Zn(II), well-defined cathodic and anodic peak were obtained at -1.02V and -0.48V vs Ag/AgCl , respectively. For the [Zn(II)-L] complex, both peaks were obtained at -1.19V and -0.45V vs Ag/AgCl, respectively. In addition, the peak height gradually increases as the scan rate increases, suggesting that the currents obtained were diffusion - controlled. The mole ratio and stability constant of the complex measured cyclic voltammerty were 1:1 and logK$_f$= 5.8, respectively. And the mole ratio and stability constant of the complexe calculated by isothermal titration method was 1:1 and logK =5.4, respectively. ${\Delta}$H, ${\Delta}$G and T${\Delta}$S for the complex formation were -53.0 kJ/mol, -31.1 kJ/mol, and -21.9 J/K at 25 ${\circ}$C, respectively.

The relationships between lead exposure indicies and urinary δ-ALA by HPLC and colorimetric method in lead exposure workers (연노출근로자에 있어서 흡광광도법과 HPLC법에 의한 요중 δ-ALA 배설량과 연노출지표들 간의 관련성)

  • Ahn, Kyu-Dong;Lee, Sung-Soo;Hwangbo, Young;Lee, Gab-Soo;Yeon, You-Yong;Kim, Yong-Bae;Lee, Byung-Kook
    • Journal of Korean Society of Occupational and Environmental Hygiene
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    • v.6 no.1
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    • pp.77-87
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    • 1996
  • In order to compare the difference of the measurement of delta aminolevulinic acid(${\delta}$-ALA) in urine between HPLC method(HALA) and colorimetric method(CALA), and also to provide useful information for the new diagnostic criteria of ${\delta}$-ALA in urine in lead poisoning, if at all possible in the future, authors studied 234 male lead workers who were selected from 7 storage battery factories, 3 secondary smelting industries, and 2 litharge making industries. Study subjects were selected on the basis of blood Zinc protoporphyrin(ZPP) level from low to high concentration to cover wide range of lead exposure. Study variables for this study were ${\delta}$-ALA measured by two different methods, blood lead(PbB), and blood ZPP. The results were as follows: 1. There was very high correlation between ${\delta}$-ALA measured by two method(r = 0.989 : HALA = -0.8194 + 0.8110 ${\times}$ CALA), but the value of CALA was measured about 2mg/L greater than HALA. 2. While the correlations of ${\delta}$-ALA by two method with blood lead and blood ZPP were 0.46 and 0.37 respectively, they were increased to 0.63 and 0.57 if ${\delta}$-ALA values were log-transformed. 3. Simple linear regression of ${\delta}$-ALA measured by two method on ZPP were as follows: CALA = 2.0421 + 0.0341 ${\times}$ ZPP ($R^2=0.1385$ p = 0.0001) HALA = 0.8006 + 0.0280 ${\times}$ ZPP ($R^2=0.1389$ p = 0.0001) 4. Simple linear regression of ${\delta}$-ALA measured by two method on PbB were as follows: CALA = - 0.4134 + 0.1545 ${\times}$ PbB ($R^2=0.2085$ p = 0.0001) HALA = -1.2893 + 0.1287 PbB ($R^2=0.2154$ p = 0.0001), 5. Simple linear regression of log-transformed ${\delta}$-ALA by two method on ZPP and PbB were as follows: logHALA = 0.3078 + 0.0060 ZPP ($R^2=0.3329$ p = 0.0001) logCALA = 1.0189 + 0.0044 ZPP ($R^2=0.3290$ p = 0.0001) logHALA = -0.0221 + 0.0246 PbB ($R^2=0.4046$ p = 0.0001) logCALA = 0.7662 + 0.0184 PbB ($R^2=0.4108$ p = 0.0001) 6. The cumulative percent of colorimetric method to detect lead workers whose value of PbS and ZPP were over screening level such as $40{\mu}/dl$ and $100{\mu}/dl$ respectively was higher than HPLC method if cut-off level of ${\delta}$-ALA for screening of lead poisoning was 5 mg/L. But if cut-off level of ${\delta}$-ALA measured by HPLC was reduced to 3 mg/L which is compatible to 5 mg/L of ${\delta}$-ALA measured by colorimetric method, there were good agreement between two methods and showed dose-response relationship with other lead exposure indices such as PbB and ZPP.

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A Study on the Decomposition of Dissolved Ozone and Phenol using Ozone/Activated Carbon Process (오존/활성탄 공정을 이용한 용존 오존 및 페놀의 분해에 관한 연구)

  • Choi, Jae Won;Lee, Hak Sung
    • Applied Chemistry for Engineering
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    • v.23 no.5
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    • pp.490-495
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    • 2012
  • The catalytic effect induced by activated carbon (AC) was evaluated during the phenol treatment using an ozone/AC ($O_{3}/AC$) process. In the case of the addition of AC to the ozone only process, the decomposition efficiency of dissolved ozone and phenol increased with increasing the amount of AC input. It was that the OH radical generated from the decomposition of dissolved ozone by AC had an effect on the removal of phenol. It was shown as the catalytic effect of AC ([$\Delta$phenol]/$[{\Delta}O_{3}]_{AC}$) in this study. The maximum catalytic effect was approximately 2.13 under 10~40 g/L of AC input. It approached to the maximum catalytic effect after 40 min of reaction with 10 and 20 g/L of AC input, while the reaction time reached to the maximum catalytic effect under 30 and 40 g/L of AC input was approximately 20 min. Moreover, the removal ratios of total organic carbon (TOC) for ozone only process and ozone/AC process were 0.23 and 0.63 respectively.