Associations to the word «Hyperbolic»

HYPERBOLIC, adjective. Of or relating to hyperbole

HYPERBOLIC, adjective. Using hyperbole: exaggerated

HYPERBOLIC, adjective. Of or pertaining to a hyperbola.

HYPERBOLIC, adjective. Indicates that the specified function is a hyperbolic function rather than a trigonometric function.

HYPERBOLIC, adjective. (mathematics) (of a metric space or a geometry) Having negative curvature or sectional curvature.

HYPERBOLIC, adjective. (geometry) (topology) (of an automorphism) Whose domain has two (possibly ideal) fixed points joined by a line mapped to itself by translation.

HYPERBOLIC, adjective. (topology) Of, pertaining to, or in a hyperbolic space (a space having negative curvature or sectional curvature).

HYPERBOLIC COSINE, noun. (mathematics) a hyperbolic function that is written in symbol cosh and defined as the following: \(\cosh(x) = \tfrac 1 2 (e^x + e^{-x})\)

HYPERBOLIC FUNCTION, noun. (mathematics) A function that is 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.

HYPERBOLIC FUNCTIONS, noun. Plural of hyperbolic function

HYPERBOLIC NAVIGATION SYSTEM, noun. A navigation system that produces hyperbolic lines of position by the measurement of the difference in the time of reception, or the phase, of radio signals from multiple synchronized transmitters at fixed locations

HYPERBOLIC PLANE, noun. (mathematics) A topological space homeomorphic to a plane (or open disk) and equipped with a hyperbolic metric.

HYPERBOLIC PLANES, noun. Plural of hyperbolic plane

HYPERBOLIC POLYNOMIAL, noun. (mathematics) A real, multivariate homogeneous polynomial p(x) is hyperbolic (in direction e) if p(x-te) = 0 has only real roots as a function of t.

HYPERBOLIC SINE, noun. (mathematics) A hyperbolic function that is written in symbol sinh and defined as: \(\sinh(x) = \tfrac 1 2 (e^x - e^{-x})\)

HYPERBOLIC SPACE, noun. (mathematics) Any space exhibiting hyperbolic geometry rather than Cartesian geometry

HYPERBOLIC SPACES, noun. Plural of hyperbolic space

HYPERBOLIC TANGENT, noun. (mathematics) a hyperbolic function that is written in symbol tanh and defined as the following:

HYPERBOLIC TANGENTS, noun. Plural of hyperbolic tangent

HYPERBOLIC, adjective. Enlarged beyond truth or reasonableness; "a hyperbolic style".

HYPERBOLIC, adjective. Of or relating to a hyperbola; "hyperbolic functions".