Crossword clues for hyperbolic
The Collaborative International Dictionary
Hyperbolic \Hy`per*bol"ic\, Hyperbolical \Hy`per*bol"ic*al\, a.
(Math.) Belonging to the hyperbola; having the nature of the hyperbola.
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(Rhet.) Relating to, containing, or of the nature of, hyperbole; exaggerating or diminishing beyond the fact; exceeding the truth; as, an hyperbolical expression. ``This hyperbolical epitaph.''
--Fuller.Hyperbolic functions (Math.), certain functions which have relations to the hyperbola corresponding to those which sines, cosines, tangents, etc., have to the circle; and hence, called hyperbolic sines, hyperbolic cosines, etc.
Hyperbolic logarithm. See Logarithm.
Hyperbolic spiral (Math.), a spiral curve, the law of which is, that the distance from the pole to the generating point varies inversely as the angle swept over by the radius vector.
Douglas Harper's Etymology Dictionary
1640s (iperbolical is from early 15c.), from Greek hyperbolikos "extravagant," from hyperbole "extravagance," literally "a throwing beyond" (see hyperbole). Geometric sense is from 1670s. Related: Hyperbolically.
Wiktionary
Etymology 1 a. 1 of or relating to hyperbole 2 using hyperbole: exaggerated Etymology 2
a. 1 Of or pertaining to a hyperbola. 2 {{non-gloss definition|Indicates that the specified function is a hyperbolic function rather than a (soplink trigonometric function).}} 3 (context mathematics of a metric space or a geometry English) Having negative curvature or sectional curvature. 4 (context geometry topology of an automorphism English) Whose domain has two (possibly ideal) fixed points joined by a line mapped to itself by translation. 5 (context topology English) Of, pertaining to(,) or in a hyperbolic space (gloss: a space having negative curvature or sectional curvature).
WordNet
adj. enlarged beyond truth or reasonableness; "had an exaggerated (or inflated) opinion of himself"; "a hyperbolic style" [syn: exaggerated, inflated]
of or relating to a hyperbola; "hyperbolic functions"
Wikipedia
Hyperbolic is an adjective describing something that resembles or pertains to a hyperbola (a curve), to hyperbole (an overstatement or exaggeration), or to hyperbolic geometry.
The following phenomena are described as hyperbolic because they manifest hyperbolas, not because something about them is exaggerated.
- Hyperbolic distribution, a probability distribution characterized by the logarithm of the probability density function being a hyperbola
- Hyperbolic equilibrium point, a fixed point that does not have any center manifolds
- Hyperbolic function, an analog of an ordinary trigonometric or circular function
- Hyperbolic geometry, a non-Euclidean geometry
- Hyperbolic group, a finitely generated group equipped with a word metric satisfying certain properties characteristic of hyperbolic geometry
- Hyperbolic growth, growth of a quantity toward a finite-time singularity
- Hyperbolic manifold, a complete Riemannian n-manifold of constant sectional curvature -1
- Hyperbolic navigation, a class of radio navigation systems based on the difference in timing between the reception of two signals, without reference to a common clock
- Hyperbolic number, a synonym for Split-complex number
- Hyperbolic paraboloid, a doubly ruled surface shaped like a saddle
- Hyperbolic partial differential equation, a partial differential equation (PDE) of order n that has a well-posed initial value problem for the first n−1 derivatives
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Hyperbolic plane can refer to:
- The 2 dimensional hyperbolic plane in hyperbolic geometry (a non-Euclidean geometry)
- The hyperbolic plane as Isotropic quadratic form
- The surface of a hyperboloid of one sheet.
- One sheet (usually the positive sheet) of a hyperboloid of two sheets.
- Hyperbolic soccerball, a tessellation of the hyperbolic plane
- Hyperbolic space, hyperbolic spatial geometry in which every point is a saddle point
- Hyperbolic trajectory, a Kepler orbit with eccentricity greater than 1
Usage examples of "hyperbolic".
When the last medal had been awarded, the last speech read, the final hyperbolic hyperbole driven home, they found themselves outside the justice building once again, high above the bustling streets and boulevards of the capital of Draymia.
Failure to attain Jupiter datum implies hyperbolic escape trajectory, direction Delta Geminorum.
As it was, it had taken three weeks for them to dive into the heart of the Orpheus System using a hyperbolic approach orbit.
If they were headed back toward the stargate, they were taking a high speed, hyperbolic orbit to get there.
The Ruptured Whale had shed most of its hyperbolic velocity during the approach.
He passed a group of technicians, not quickly enough to avoid hearing the reason for the scene: the hyperbolic paraboloid dome of the new church had a refractory habit of throwing down tinny echoes, as if a whiny, adenoidal God were parodically repeating everything said.
The trapezium shrank before their eyes, indicating that the chasers, too, had shifted from orbital motion to hyperbolic and were coming together, bright with the heat of the increased drives.
PACs were denouncing the LipoVac spots' shots of rippling cellulite and explicit clips of procedures that resembled crosses between hyperbolic Hoover Upright demonstrations and filmed autopsies and cholesterol-conscious cooking shows that involved a great deal of chicken-fat drainage, and even though audiences' flights from the LipoVac spots themselves were absolutely gutting ratings for the other ads and the shows around them Network execs' sweaty sleep infected with vivid REM-visions of flaccid atrophied thumbs coming twitchily to life over remote zap and surf controls even though the spots were again fatally potent, the LipoVac string's revenues were so obscenely enhanced by the ads that LipoVac Unltd.
Thrumming engine sounds changed pitch as he sensed the nimble ship brake harder to fight its hyperbolic plunge, clawing against the drag of a giant star, changing course in another of Gillian Baskin's daring ventures.
Our American multicultures and countercultures are themselves hyperbolic fractal expansions of Disney's delirious embrace of sincerity and cleanliness and niceness and grotesque sentimentalism and white middle American hyperconformity.
We'll skip the usual stunts like cube roots, instantaneous addition, logarithms of hyperbolic functions, and stuff.
There were paper chains hanging in hyperbolic catenary curves and sinusoids, Gaussian distribution bells, and pendulums wreathed in logarithmic spirals.
A chain of small pink hills, hyperbolic paraboloid saddles precisely separating members, seemed to grow up out of nothing in the middle distance.
Start above the plane, slide over to Teegah's Limit, going fast as you can without making waves in the flow, translate to realspace, coming down top speed, steep slant, one limb of a hyperbolic, hold the shield in place until you're on their tails, drop it, get the three missiles off, drag the shield on, hit the other limb, whip through the Limit and split.
Left uncontrolled, the Ship would have swung part way around it in a wide hyperbolic arc, accelerated as it flipped around the star, then sped off again into the darkness.