Statements (23)
Predicate | Object |
---|---|
gptkbp:instanceOf |
gptkb:mathematical_concept
|
gptkbp:antiderivative |
ln(cosh(x))
|
gptkbp:asymptote |
y=1
y=-1 |
gptkbp:continuity |
true
|
gptkbp:definedIn |
(e^x - e^{-x}) / (e^x + e^{-x})
|
gptkbp:domain |
Real numbers
|
https://www.w3.org/2000/01/rdf-schema#label |
Hyperbolic tangent
|
gptkbp:inverseFunction |
artanh
|
gptkbp:notableDerivative |
1 - tanh^2(x)
|
gptkbp:oddFunction |
true
|
gptkbp:period |
false
|
gptkbp:range |
(-1, 1)
|
gptkbp:relatedTo |
Hyperbolic cosine
Hyperbolic sine |
gptkbp:smooth |
true
|
gptkbp:symbol |
tanh
|
gptkbp:TaylorSeriesAtZero |
x - x^3/3 + 2x^5/15 - 17x^7/315 + ...
|
gptkbp:usedIn |
gptkb:signal_processing
gptkb:Differential_equations Neural networks |
gptkbp:bfsParent |
gptkb:Tanh
|
gptkbp:bfsLayer |
6
|