The exponential function is defined by
(1) |
(2) |
(3) |
(4) |
(5) | |||
(6) |
The above plot shows the function .
See also Euler Formula, Exponential Ramp, Fourier Transform--Exponential Function, Sigmoid Function
References
Abramowitz, M. and Stegun, C. A. (Eds.). ``Exponential Function.'' §4.2 in
Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables, 9th printing.
New York: Dover, p. 69-71, 1972.
Fischer, G. (Ed.). Plates 127-128 in
Mathematische Modelle/Mathematical Models, Bildband/Photograph Volume.
Braunschweig, Germany: Vieweg, pp. 124-125, 1986.
Spanier, J. and Oldham, K. B. ``The Exponential Function
'' and ``Exponentials of Powers
.''
Chs. 26-27 in An Atlas of Functions. Washington, DC: Hemisphere, pp. 233-261, 1987.
Yates, R. C. ``Exponential Curves.'' A Handbook on Curves and Their Properties. Ann Arbor, MI: J. W. Edwards, pp. 86-97, 1952.