Hyperbolic is an adjective describing something that resembles or pertains to a hyperbola (a curve), to hyperbole (an overstatement or exaggeration), or to hyperbolic geometry. The following phenomena are described as ''hyperbolic'' because they manifest hyperbolas, not because something about them is exaggerated. * Hyperbolic angle, an unbounded variable referring to a hyperbola instead of a circle * Hyperbolic coordinates, location by geometric mean and hyperbolic angle in quadrant I * Hyperbolic distribution, a probability distribution characterized by the logarithm of the probability density function being a hyperbola * Hyperbolic equilibrium point, a fixed point that does not have any center manifolds * Hyperbolic function, an analog of an ordinary trigonometric or circular function *

Hyperbolic geometric graph A hyperbolic geometric graph (HGG) or hyperbolic geometric network (HGN) is a special type of spatial network where (1) latent coordinates of nodes are sprinkled according to a probability density function into a hyperbolic space of constant nega ...

, a random network generated by connecting nearby points sprinkled in a hyperbolic space * Hyperbolic geometry, a non-Euclidean geometry * Hyperbolic group, a finitely generated group equipped with a word metric satisfying certain properties characteristic of hyperbolic geometry * Hyperbolic growth, growth of a quantity toward a finite-time singularity * Hyperbolic logarithm, original designation of natural logarithm (1647–1748) before Euler's formulation with e * Hyperbolic manifold, a complete Riemannian ''n''-manifold of constant sectional curvature −1 * Hyperbolic motion, an isometry in a hyperbolic space *

Hyperbolic navigation Hyperbolic navigation is a class of radio navigation systems in which a navigation receiver instrument is used to determine location based on the difference in timing (phase) of radio waves received from radio navigation beacon transmitters. Su ...

, a class of radio navigation systems based on the difference in timing between the reception of two signals, without reference to a common clock * Hyperbolic number, a synonym for

split-complex number In algebra, a split complex number (or hyperbolic number, also perplex number, double number) has two real number components and , and is written z=x+yj, where j^2=1. The ''conjugate'' of is z^*=x-yj. Since j^2=1, the product of a number wi ...

* Hyperbolic orthogonality, an orthogonality found in pseudo-Euclidean space *

Hyperbolic paraboloid In geometry, a paraboloid is a quadric surface that has exactly one axis of symmetry and no center of symmetry. The term "paraboloid" is derived from parabola, which refers to a conic section that has a similar property of symmetry. Every plane ...

, a doubly ruled surface shaped like a saddle * Hyperbolic partial differential equation, a partial differential equation (PDE) of order ''n'' that has a well-posed initial value problem for the first ''n''−1 derivatives * Hyperbolic plane can refer to: ** The 2 dimensional plane in hyperbolic geometry (a non-Euclidean geometry) ** The hyperbolic plane as isotropic quadratic form ** The surface of a

hyperboloid In geometry, a hyperboloid of revolution, sometimes called a circular hyperboloid, is the surface generated by rotating a hyperbola around one of its principal axes. A hyperboloid is the surface obtained from a hyperboloid of revolution by defo ...

of one sheet ** One sheet of a

of two sheets * Hyperbolic quaternions, a non-associative algebra, precursor to Minkowski space * Hyperbolic rotation, a synonym for squeeze mapping * Hyperbolic sector, a planar region demarcated by radial lines and a hyperbola * Hyperbolic soccerball, a tessellation of the hyperbolic plane * Hyperbolic space, hyperbolic spatial geometry in which every point is a saddle point * Hyperbolic trajectory, a Kepler orbit with eccentricity greater than 1 * Hyperbolic versor, a versor parameterized by a hyperbolic angle

See also