Sigmoid Function
المؤلف:
von Seggern, D
المصدر:
CRC Standard Curves and Surfaces with Mathematics, 2nd ed. Boca Raton, FL: CRC Press, 2007.
الجزء والصفحة:
...
2-5-2019
2301
Sigmoid Function
The sigmoid function, also called the sigmoidal curve (von Seggern 2007, p. 148) or logistic function, is the function
 |
(1)
|
It has derivative
and indefinite integral
It has Maclaurin series
where 
is an Euler polynomial and 
is a Bernoulli number.
It has an inflection point at 
, where
 |
(10)
|
It is also the solution to the ordinary differential equation
 |
(11)
|
with initial condition 
.
REFERENCES:
von Seggern, D. CRC Standard Curves and Surfaces with Mathematics, 2nd ed. Boca Raton, FL: CRC Press, 2007.
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