

A364931


Decimal expansion of the solution to 1 / (1 + e^(x)) = x.


0



6, 5, 9, 0, 4, 6, 0, 6, 8, 4, 0, 7, 4, 0, 6, 6, 6, 0, 9, 8, 4, 3, 8, 6, 4, 9, 5, 9, 2, 8, 8, 6, 7, 5, 5, 1, 6, 9, 8, 0, 9, 0, 3, 3, 0, 3, 5, 7, 1, 1, 5, 1, 8, 8, 4, 8, 9, 2, 9, 4, 6, 3, 0, 8, 0, 4, 2, 2, 4, 1, 1, 3, 0, 4, 2, 4, 2, 9, 7, 5, 7, 5, 7, 9, 0, 3, 4, 7, 3, 5, 6, 4, 8, 2, 8, 2, 0, 1, 0, 5
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OFFSET

0,1


COMMENTS

Fixed point of sigmoid (standard logistic function) as well as its inverse (logit).


LINKS



EXAMPLE

0.6590460684074066...


MAPLE

Digits:=100: fsolve(1/(1+exp(x))x, x);


MATHEMATICA

RealDigits[FindRoot[1/(1+Exp[x])x, {x, 0.6}, WorkingPrecision > 100][[1, 2]], 10, 100][[1]]


PROG

(PARI) default(realprecision, 100); solve(x=0.4, 0.7, 1/(1+exp(x))x)


CROSSREFS



KEYWORD



AUTHOR



STATUS

approved



