hyperbolic
Language: English
Part of speech: adj
Pronunciation: enpr: hīpərbŏl'ĭk
ipa: /ˌhaɪ.pɚˈbɔl.ɪk/
rhymes: -ɒlɪk
Forms: form: hyperbolical
form: hyperbolick
Etymology: First attested in 1676. By surface analysis, hyperbol(a) + -ic.
Senses: examples: text: In this configuration the on-axis image is produced at the real hyperbolic focus (fₛ₂) but off-axis performance suffers.
ref: 1988, R. F. Leftwich, "Wide-Band Radiation Thermometers", chapter 7 of, David P. DeWitt and Gene D. Nutter, editors, Theory and Practice of Radiation Thermometry, page 512 http://books.google.com/books?id=SZ6Ldatd7OAC&pg=PA512&dq=hyperbolic
glosses: Of or pertaining to a hyperbola.
examples: text: The hyperbolic cosine of zero is one.
glosses: Indicates that the specified function is a hyperbolic function rather than a trigonometric function.
examples: text: 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.
ref: 1998, Katsuhiko Matsuzaki and Masahiko Taniguchi, Hyperbolic Manifolds and Kleinian Groups, 2002 reprint, Oxford, page 8, proposition 0.10 http://books.google.com/books?id=DLAGEBfEgEUC&pg=PA8&dq=hyperbolic
topics: mathematics
sciences
glosses: Having negative curvature or sectional curvature.
raw_tags: of a metric space or a geometry
examples: text: A hyperbolic isometry f has two (distinct) fixed points on ∂ℋ.
ref: 2001, A. F. Beardon, "The Geometry of Riemann Surfaces", in, E. Bujalance, A. F. Costa, and E. Martínez, editors, Topics on Riemann Surfaces and Fuchsian Groups, Cambridge, page 6 http://books.google.com/books?id=RjbQdcP7DgwC&pg=PA6&dq=hyperbolic
topics: geometry
mathematics
sciences
topology
glosses: Whose domain has two (possibly ideal) fixed points joined by a line mapped to itself by translation.
raw_tags: of an automorphism
examples: text: Exactly one hypercycle is a hyperbolic geodesic, and this is called the axis A_f of f.
ref: 2001, A. F. Beardon, "The Geometry of Riemann Surfaces", in, E. Bujalance, A. F. Costa, and E. Martínez, editors, Topics on Riemann Surfaces and Fuchsian Groups, Cambridge, page 6 http://books.google.com/books?id=RjbQdcP7DgwC&pg=PA6&dq=hyperbolic
topics: mathematics
sciences
topology
glosses: Of, pertaining to, or in a hyperbolic space (a space having negative curvature or sectional curvature).
Derived terms: antihyperbolic
arc-hyperbolic function
hyperbolic 3-manifold
hyperbolic algebra
hyperbolically
hyperbolic angle
hyperbolic automorphism
hyperbolic color
hyperbolic colour
hyperbolic coordinate
hyperbolic cosecant
hyperbolic cosine
hyperbolic cosine integral
hyperbolic cotangent
hyperbolic cube
hyperbolic cylinder
hyperbolic differential equation
hyperbolic discounting
hyperbolic disk
hyperbolic dodecahedron
hyperbolic fixed point
hyperbolic function
hyperbolic geometry
hyperbolic group
hyperbolic growth
hyperbolic helicoid
hyperbolic icosahedron
hyperbolic inverse function
hyperbolicity
hyperbolic lemniscate function
hyperbolic link
hyperbolic map
hyperbolic metric
hyperbolic motion
hyperbolic navigation system
hyperbolic number
hyperbolic octahedron
hyperbolic orbit
hyperbolic-orthogonal
hyperbolic paraboloid
hyperbolic partial differential equation
hyperbolic plane
hyperbolic point
hyperbolic polar sine
hyperbolic polyhedron
hyperbolic polynomial
hyperbolic quaternion
hyperbolic rotation
hyperbolic secant
hyperbolic secant distribution
hyperbolic sector
hyperbolic set
hyperbolic sine
hyperbolic sine integral
hyperbolic small dodecahedral honeycomb
hyperbolic space
hyperbolic tangent
hyperbolic tetrahedron
hyperbolic time chamber
hyperbolic trajectory
hyperbolic triangle
hyperbolic umbilic catastrophe
hyperbolike
hyperboloid
inverse hyperbolic function
nonhyperbolic
pseudohyperbolic
quasihyperbolic
subhyperbolic
superhyperbolic
ultrahyperbolic
δ-hyperbolic