Chromatographic dispersion corrections utilizing the generalized exponential function

1989 ◽  
Vol 462 ◽  
pp. 3-12 ◽  
Author(s):  
R.D. Hester ◽  
R.A. Vaidya ◽  
J.P. Dickerson
Keyword(s):  
Exponential Function ◽  
Generalized Exponential Function

Modeling diatomic potential energy curves through the generalized exponential function

2006 ◽  
Vol 427 (1-3) ◽  
pp. 10-13 ◽  
Author(s):  
C.S. Esteves ◽  
H.C.B. de Oliveira ◽  
L. Ribeiro ◽  
R. Gargano ◽  
K.C. Mundim
Keyword(s):  
Potential Energy ◽  
Exponential Function ◽  
Potential Energy Curves ◽  
Generalized Exponential Function

scholarly journals Generalized Probability Functions

2009 ◽  
Vol 2009 ◽  
pp. 1-13 ◽  
Author(s):  
Alexandre Souto Martinez ◽  
Rodrigo Silva González ◽  
César Augusto Sangaletti Terçariol
Keyword(s):  
Exponential Function ◽  
Error Function ◽  
Generalized Functions ◽  
Probability Density Functions ◽  
Density Functions ◽  
Logarithmic Function ◽  
Rank Distribution ◽  
Exponential Functions ◽  
Generalized Exponential Function ◽  
Generalized Probability

From the integration of nonsymmetrical hyperboles, a one-parameter generalization of the logarithmic function is obtained. Inverting this function, one obtains the generalized exponential function. Motivated by the mathematical curiosity, we show that these generalized functions are suitable to generalize some probability density functions (pdfs). A very reliable rank distribution can be conveniently described by the generalized exponential function. Finally, we turn the attention to the generalization of one- and two-tail stretched exponential functions. We obtain, as particular cases, the generalized error function, the Zipf-Mandelbrot pdf, the generalized Gaussian and Laplace pdf. Their cumulative functions and moments were also obtained analytically.

Use of generalized exponential function to build three-dimensional reactive surfaces

2010 ◽  
Vol 389 (17) ◽  
pp. 3604-3612 ◽  
Author(s):  
Lucas R. Salviano ◽  
Cristiano S. Esteves ◽  
Heibbe C.B. de Oliveira ◽  
Kleber C. Mundim ◽  
Luciano Ribeiro ◽  
...  
Keyword(s):  
Exponential Function ◽  
Three Dimensional ◽  
Generalized Exponential Function ◽  
Reactive Surfaces

scholarly journals Generalized exponential function and discrete growth models

2009 ◽  
Vol 388 (14) ◽  
pp. 2922-2930 ◽  
Author(s):  
Alexandre Souto Martinez ◽  
Rodrigo Silva González ◽  
Aquino Lauri Espíndola
Keyword(s):  
Exponential Function ◽  
Growth Models ◽  
Generalized Exponential Function ◽  
Discrete Growth Models
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