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hyperbolic

hyperbolic

3 8.9
Having the shape of a curve called a hyperbola used in math
  • adjective
  • /haɪˈpɜːrbəlɪk/
  • Specialized
translation icon : hiperbólico
  • Leo I, on the other hand, is in an unbound hyperbolic orbit, flying past the Milky Way on its way out of the Local Group.
  • hyperbolic tangent
  • hyperbolic decline
  • hyperbolic tangent model

If they diverge at a constant rate, you get a saddle or hyperbolic or negatively curved geometry.

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Examples

  • Bits of continents poked through the gaps as the air packet swung out on a hyperbolic curve.

    Fiction book (2000)
  • The relationship between growth rate and concentration of a limiting nutrient can be described by a hyperbolic function (Figure 3).

    Academic text (1993)
  • The thing was on a hyperbolic trajectory through the Solar System.

    Fiction book (1998)
  • And so these pieces inside the Mandelbrot set, they come from these hyperbolic values of C.

  • So let's find, for example, the hyperbolic tangent.

  • So we'll do that by adding hyperbolic sine squared of X to both sides.

  • So to scientists analyzing this strange new body, a hyperbolic orbit meant one thing.

  • So we called this first one here an elliptic cone, and we're going to call our second one a hyperbolic paraboloid.

  • Iris' orbit is hyperbolic.

    Fiction book (1990)
  • In mathematics, a hyperbolic function relates to curves that resemble a hyperbola.

Synonyms

hyperbolical
vshyperbolic
  • Specialized
9.9

A curved shape used in math and in some towers

is the alternate adjective form used interchangeably in mathematical contexts

Compounds

hyperbolic geometry
  • Specialized
9.9

A kind of geometry where space curves so the angles in a triangle add to less than 180 degrees

Surface Forms

hyperbolic positive

Morphology

hyperbolic = hyperbola (transparent) = hyperbol + ic

The adjective form 'hyperbolic' is transparently derived from 'hyperbola' with the suffix '-ic', indicating a relationship to the noun.

Etymology

Hyperbolic comes from the Greek name hyperbola, formed from hyper- 'over' and a part that meant 'to throw', giving the image of something 'thrown beyond' or stretched out. In math, hyperbolic describes the shapes and functions related to the wide, open curve called a hyperbola.