Two proofs and a corrected procedure for the generalized exponential function
Por:
Ricker M., Von Rosen D.
Publicada:
1 ene 2020
Categoría:
Applied mathematics
Resumen:
In a previous article we developed the generalized exponential function as a new growth function. Here we complement that article in three ways: It is proven that any three points of quantities q3 > q2 > q1 at times t3 > t2 > t1 can be connected with a single generalized exponential function. We also prove that any two real quantities of logarithmic relative growth, yi at time ti and yi+1 at time ti+1 , can be connected with the generalized exponential function. Finally, we provide a corrected procedure for the generalized exponential function to convert a sequence of data points yi(ti) into a segmented continuous curve q(t). © 2020 International Association of Engineers.
Filiaciones:
Ricker M.:
Instituto de Biología, Universidad Nacional Autónoma de México (UNAM), Mexico City, Mexico
Von Rosen D.:
Department of Energy and Technology, Swedish University of Agricultural Sciences, Uppsala, Sweden
Department of Mathematics, Linköping University, Linköping, Sweden
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