Statements (30)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:antiderivative |
ln(cosh(x))
|
| gptkbp:asymptote |
y = -1
y = 1 |
| gptkbp:category |
Hyperbolic function
|
| gptkbp:codomain |
Open interval (-1, 1)
|
| gptkbp:continuity |
true
|
| gptkbp:defines |
tanh(x) = (e^x - e^{-x}) / (e^x + e^{-x})
|
| gptkbp:differentiable |
true
|
| gptkbp:domain |
Real numbers
|
| gptkbp:evenFunction |
false
|
| gptkbp:fixedPoints |
0
|
| gptkbp:fullName |
gptkb:Hyperbolic_tangent
|
| https://www.w3.org/2000/01/rdf-schema#label |
Tanh
|
| gptkbp:inverseFunction |
artanh(x)
|
| gptkbp:monotonic |
true
|
| gptkbp:notableDerivative |
1 - tanh^2(x)
|
| gptkbp:oddFunction |
true
|
| gptkbp:period |
false
|
| gptkbp:range |
(-1, 1)
|
| gptkbp:relatedTo |
cosh(x)
sigmoid(x) sinh(x) |
| gptkbp:symbol |
tanh(x)
|
| gptkbp:TaylorSeriesAtZero |
x - x^3/3 + 2x^5/15 - 17x^7/315 + ...
|
| gptkbp:usedIn |
gptkb:signal_processing
gptkb:Hyperbolic_geometry Neural networks |
| gptkbp:bfsParent |
gptkb:convolutional_neural_network
|
| gptkbp:bfsLayer |
5
|