interval<T> sinh(interval<T> x)[source]
interval<T> sinh(interval<T> x)
Returns the interval hyperbolic sine sinh(x)\sinh(x)sinh(x).
sinh:IR→IR\sinh: \mathbb{IR} \rightarrow \mathbb{IR}sinh:IR→IR
interval<T> cosh(interval<T> x)[source]
interval<T> cosh(interval<T> x)
Returns the interval hyperbolic cosine cosh(x)\cosh(x)cosh(x).
cosh:IR→IR≥1\cosh: \mathbb{IR} \rightarrow \mathbb{IR}_{\ge \mathbf{1}}cosh:IR→IR≥1
interval<T> coth(interval<T> a)[source]
interval<T> coth(interval<T> a)
Returns the interval hyperbolic cotangent coth(x)\coth(x)coth(x).
coth:IR→IR\coth: \mathbb{IR} \rightarrow \mathbb{IR}coth:IR→IR
interval<T> tanh(interval<T> x)[source]
interval<T> tanh(interval<T> x)
Returns the interval hyperbolic tangent tanh(x)\tanh(x)tanh(x).
tanh:IR→IR\tanh: \mathbb{IR} \rightarrow \mathbb{IR}tanh:IR→IR
interval<T> arcsinh(interval<T> x)[source]
interval<T> arcsinh(interval<T> x)
Returns the interval inverse hyperbolic sine arcsinh(x)\mathrm{arcsinh}(x)arcsinh(x).
arcsinh:IR→IR\mathrm{arcsinh}: \mathbb{IR} \rightarrow \mathbb{IR}arcsinh:IR→IR
interval<T> arccosh(interval<T> x)[source]
interval<T> arccosh(interval<T> x)
Returns the interval inverse hyperbolic cosine arccosh(x)\mathrm{arccosh}(x)arccosh(x).
arccosh:IR→IR\mathrm{arccosh}: \mathbb{IR} \rightarrow \mathbb{IR}arccosh:IR→IR
interval<T> arctanh(interval<T> x)[source]
interval<T> arctanh(interval<T> x)
Returns the interval inverse hyperbolic tangent arctanh(x)\mathrm{arctanh}(x)arctanh(x).
arctanh:IR→IR\mathrm{arctanh}: \mathbb{IR} \rightarrow \mathbb{IR}arctanh:IR→IR