hyperbolic

IPA(Pronunciation)

Adjective

not-comparable of a metric space or a geometry of an automorphism

Japanese Meaning

双曲線（ハイパーボラ）に関する、またはそれに特有の性質を示す / 数学において、指定された関数が三角関数ではなく双曲線関数であることを示す

During the lecture, she derived the hyperbolic trajectory of the comet as it passed near the star.

講義中、彼女は彗星が恒星の近くを通過するときにたどった双曲線状の軌道を導き出した。

Sense（1）

Of or pertaining to a hyperbola.

Sense（2）

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

The hyperbolic cosine of zero is one.

Sense（3）

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

Sense（4）

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

Sense（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.