English Dictionary

hyperbolic

/ˌhaɪ.pɚˈbɔl.ɪk/

adj

Of or pertaining to a hyperbola. / Indicates that the specified function is a hyperbolic function rather than a trigonometric function.

The hyperbolic curve is symmetrical about its asymptotes.

意味（1）

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.

意味（2）

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

The hyperbolic cosine of zero is one.

意味（3）

(mathematics, of a metric space or a geometry) 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.

意味（4）

(geometry, topology, of an automorphism) 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.

意味（5）

(topology) 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.