English Dictionary

hyperbolic

IPA（発音記号）

/ˌhaɪ.pɚˈbɔl.ɪk/

形容詞

比較不可 数学（距離空間・幾何学） 前置詞句

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

日本語の意味

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。

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.