scholarly journals Fekete type points for ridge function interpolation and hyperbolic potential theory

2014 ◽  
Vol 96 (110) ◽  
pp. 41-48
Author(s):  
Len Bos ◽  
Marchi de ◽  
Norm Levenberg
Keyword(s):  
Potential Theory ◽  
Ridge Function ◽  
Hyperbolic Potential

We apply hyperbolic potential theory to the study of the asymptotics of Fekete type points for univariate ridge function interpolation

Hyperbolic potential theory

1972 ◽  
Vol 49 (2) ◽  
pp. 79-88 ◽  
Author(s):  
W. Fulks ◽  
R. B. Guenther
Keyword(s):  
Potential Theory ◽  
Hyperbolic Potential

Potential Theory and Right Processes

2004 ◽  
Author(s):  
Lucian Beznea ◽  
Nicu Boboc
Keyword(s):  
Potential Theory

Sorption of phenols on hexadecyltrimethylammonium- modified bentonite: Application of Polanyi−Manes potential theory

2020 ◽  
pp. 0958305X2097728
Author(s):  
Jiyeon Choi ◽  
Dong-Ik Slong ◽  
Won Sik Shin
Keyword(s):  
Molar Volume ◽  
Potential Theory ◽  
Characteristic Curve ◽  
Chemical Compositions ◽  
Pore Filling ◽  
Sorption Data ◽  
Similar Chemical ◽  
Competitive Model ◽  
Sorption Potential ◽  
Sorption Systems

This study investigated the sorption of phenol and 4-chlorophenol (4-CP) on natural bentonite modified with hexadecyltrimethylammonium (HDTMA) cation. The Freundlich, Langmuir, Dubinin−Radushkevich (DR), Sips, and Polanyi−Dubinin−Manes (PDM) models fitted the sorption data well (R2 > 0.92). The Freundlich coefficient and the maximum sorbed amount of the Langmuir and PDM models of 4-CP were higher than phenol because of higher hydrophobicity (log Kow = 2.39 for 4-CP and 1.46 for phenol). The PDM model that includes solubility and molar volume was highly useful in predicting the sorption of phenols having widely different hydrophobicity and solubility. The characteristic curves, the plot of sorbed volume ( qv) versus the sorption potential per molar volume ( ε/ Vm) of 4-CP and phenol were distinctly different although they have similar chemical compositions. The selectivity of 4-CP (3.72) was higher than that of phenol (0.27) in binary sorption systems. The sorbed volume ( qv) in the binary sorption was remarkably reduced and the characteristic curve had wider distribution owing to competition in pore-filling. The sorption behaviors were elucidated by partitioning and pore-filling mechanisms. Among the tested binary sorption models, the modified Langmuir competitive model was the best in the prediction of the binary sorption (R2 > 0.98).

Sign in / Sign up

Export Citation Format

Share Document