- 関
- hyperbola、hyperbolic curve
WordNet
- of or relating to a hyperbola; "hyperbolic functions"
- enlarged beyond truth or reasonableness; "a hyperbolic style" (同)inflated
- an open curve formed by a plane that cuts the base of a right circular cone
- (mathematics) a non-Euclidean geometry in which the parallel axiom is replaced by the assumption that through any point in a plane there are two or more lines that do not intersect a given line in the plane; "Karl Gauss pioneered hyperbolic geometry"
- in an exaggerated manner (同)exaggeratedly
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- 誇張法の;誇大な / 双曲線の
- 双曲線
Wikipedia preview
出典(authority):フリー百科事典『ウィキペディア(Wikipedia)』「2015/01/07 12:25:22」(JST)
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Look up hyperbolic in Wiktionary, the free dictionary. |
Hyperbolic is an adjective describing something that resembles or pertains to a hyperbola (a curve), or to hyperbole (an overstatement or exaggeration).
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 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
- Hyperbolic space, hyperbolic spatial geometry in which every point is a saddle point
- Hyperbolic trajectory, a Kepler orbit with eccentricity greater than 1
See also
- Exaggeration
- Hyperboloid
- Hyperboloid structure
UpToDate Contents
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English Journal
- Orientation Maps in V1 and Non-Euclidean Geometry.
- Afgoustidis A1.
- Journal of mathematical neuroscience.J Math Neurosci.2015 Dec;5(1):24. doi: 10.1186/s13408-015-0024-7. Epub 2015 Jun 17.
- In the primary visual cortex, the processing of information uses the distribution of orientations in the visual input: neurons react to some orientations in the stimulus more than to others. In many species, orientation preference is mapped in a remarkable way on the cortical surface, and this organ
- PMID 26082007
- Altruism and anonymity: A behavioral analysis.
- Locey ML1, Rachlin H2.
- Behavioural processes.Behav Processes.2015 Sep;118:71-5. doi: 10.1016/j.beproc.2015.06.002. Epub 2015 Jun 4.
- The effect of anonymity on altruism was examined in a social discounting task with hypothetical rewards. Social discounting - the rate at which increases in social distance decrease value to the participant - was compared across three groups. Participants in the Anonymous group were told that recipi
- PMID 26051191
- A long-term study of the impulsive choices of Lewis and Fischer 344 rats.
- Aparicio CF1, Elcoro M, Alonso-Alvarez B.
- Learning & behavior.Learn Behav.2015 Sep;43(3):251-71. doi: 10.3758/s13420-015-0177-y.
- Contemporary analyses of choice were implemented to analyze the acquisition and maintenance of response allocation in Lewis (LEW) and Fischer 344 (F344) rats. A concurrent-chains procedure varied the delay to the larger reinforcer (0.1, 5, 10, 20, 40, and 80 s). Delays were presented within session
- PMID 25862317
- Experimental model of topological defects in Minkowski space-time based on disordered ferrofluid: magnetic monopoles, cosmic strings and the space-time cloak.
- Smolyaninov II1, Smolyaninova VN2, Smolyaninov AI3.
- Philosophical transactions. Series A, Mathematical, physical, and engineering sciences.Philos Trans A Math Phys Eng Sci.2015 Aug 28;373(2049). pii: 20140360. doi: 10.1098/rsta.2014.0360.
- In the presence of an external magnetic field, cobalt nanoparticle-based ferrofluid forms a self-assembled hyperbolic metamaterial. The wave equation, which describes propagation of extraordinary light inside the ferrofluid, exhibits 2+1 dimensional Lorentz symmetry. The role of time in the correspo
- PMID 26217055
Japanese Journal
- Gauss maps of cuspidal edges in hyperbolic 3-space, with application to flat fronts
- 歪度・尖度が高い株式ポートフォリオのtコピュラを用いたリスク計測
- Transactions of the Operations Research Society of Japan = 日本オペレーションズ・リサーチ学会和文論文誌 59, 1-20, 2016-12
- NAID 40021043573
- On second order hyperbolic equations with coefficients degenerating at infinity and the loss of derivatives and decays
Related Links
- Hyperbolic functions were introduced in the 1760s independently by Vincenzo Riccati and Johann Heinrich Lambert. Riccati used Sc. and Cc. ([co]sinus circulare) to refer to circular functions and Sh. and Ch. ([co]sinus hyperbolico) to refer to ...
- In mathematics, hyperbolic geometry (also called Lobachevskian geometry or Bolyai-Lobachevskian geometry) is a non-Euclidean geometry, meaning that the parallel postulate of Euclidean geometry is replaced. The parallel postulate in ...
Related Pictures
![how to fold a hyperbolic paraboloid](https://1mg.info/0/c/c/2367.jpg)
![2000px-Hyperbolic_triangle](https://1mg.info/0/c/c/2368.jpg)
![File:Hyperbolic functions-2.svg](https://1mg.info/0/c/c/2369.jpg)
![File:Hyperbolic Cosecant.svg](https://1mg.info/0/c/c/2370.jpg)
![File:Hyperbolic triangle.svg](https://1mg.info/0/c/c/2371.jpg)
![Hyperbolic Spiral](https://1mg.info/0/c/c/2372.jpg)
★リンクテーブル★
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双曲線
- 関
- hyperbolic、hyperbolic curve
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- 関
- hyperbola、hyperbolic