hyperbolic

adj

1. Of or relating to hyperbole.
2. Using hyperbole: exaggerated.

   “At the risk of being slightly hyperbolic, the fourth season of The Simpsons is the greatest thing in the history of the universe.”

3. Of a perceived color, having a saturation exceeding 100%.
4. (not-comparable)Of or pertaining to a hyperbola.

   “In this configuration the on-axis image is produced at the real hyperbolic focus (fₛ₂) but off-axis performance suffers.”

5. (not-comparable)Indicates that the specified function is a hyperbolic function rather than a trigonometric function.

   “The hyperbolic cosine of zero is one.”

6. (not-comparable)Having negative curvature or sectional curvature.

   “There is a universal constant m_0>0 such that every hyperbolic surface R has an embedded hyperbolic disk with radius greater than m_0.”

7. (not-comparable)Whose domain has two (possibly ideal) fixed points joined by a line mapped to itself by translation.

   “A hyperbolic isometry f has two (distinct) fixed points on ∂ℋ.”

8. (not-comparable)Of, pertaining to, or in a hyperbolic space (a space having negative curvature or sectional curvature).

   “Exactly one hypercycle is a hyperbolic geodesic, and this is called the axis A_f of f.”