atanh
hyperbolic tangent inverse
Syntax
t = atanh(x)
Arguments
- x, t
Arrays of real or complex numbers, of same sizes.
Description
The components of vector t are the hyperbolic tangent inverse of
the corresponding entries of vector x.
The result t is real for x in
[-1,1], and complex otherwise.
Examples
With input real numbers:
x = [-%inf -2 -1 -0.5 0 0.5 1 2 3 %inf]; [x ; atanh(tanh(x))] atanh(x')
--> [x ; atanh(tanh(x))] ans = -Inf -2. -1. -0.5 0. 0.5 1. 2. 3. Inf -Inf -2. -1. -0.5 0. 0.5 1. 2. 3. Inf --> atanh(x') ans = 0. + 1.5707963i -0.5493061 + 1.5707963i -Inf + 0.i -0.5493061 + 0.i 0. + 0.i 0.5493061 + 0.i Inf + 0.i 0.5493061 + 1.5707963i 0.3465736 + 1.5707963i 0. + 1.5707963i
With input complex numbers:
--> [x; tanh(atanh(x)) ; atanh(tanh(x))] ans = -1. - i 0. - i 0. + 0.i 0. + i 1. + i -1. - i 0. - i 0. + 0.i 0. + i 1. + i -1. - i 0. - i 0. + 0.i 0. + i 1. + i --> atanh(x.') ans = -0.4023595 - 1.017222i 0. - 0.7853982i 0. + 0.i 0. + 0.7853982i 0.4023595 + 1.017222i
See also
- tanh — hyperbolic tangent
History
| Version | Description |
| 6.0 |
|
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