(mathematics) A hyperbolic function that is the analogue of the sine function for hyperbolic spaces, taking in a hyperbolic angle as an argument and returning the y-coordinate for the corresponding point on the unit hyperbola. It is written in symbol sinh and can be represented as: sinh (x)= tfrac 1 2(eˣ-e⁻ˣ)

(mathematics) a hyperbolic function that is written in symbol tanh and defined as the following:

(mathematics) A set functions that are analogues of the trigonometric functions for hyperbolic spaces. They can be derived from some arithmetic operations on the exponential function with base e and the inverse function, and was named after the corresponding similar trigonometric function.

(mathematics) Any space exhibiting hyperbolic geometry rather than Cartesian geometry

plural of hyperbolic tangent

plural of hyperbolic function

(geometry) A type of geometry that rejects the parallel postulate. Given a straight line L and a point P not on the line, more than one straight line can be drawn through P without intersecting L.

(mathematics, abstract algebra) A nonassociative algebra over the real numbers with elements of the form: q = a + bi + cj + dk, a,b,c,d {R}

plural of hyperbolic quaternion

(mathematics) A hyperbolic version of the Euclidean dodecahedron.