hyperbolic

• adj.

• 双曲線の

関

hyperbola、hyperbolic curve

　 　 　

WordNet

1. of or relating to a hyperbola; "hyperbolic functions"
2. enlarged beyond truth or reasonableness; "a hyperbolic style" (同)inflated
3. an open curve formed by a plane that cuts the base of a right circular cone
4. (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"
5. in an exaggerated manner (同)exaggeratedly

PrepTutorEJDIC

1. 誇張法の;誇大な / 双曲線の
2. 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)

wiki en

[Wiki en表示]

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

• Mathematical Journal of Okayama University 59(1), 93-111, 2017-01
• NAID 120005898810

• 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

• Journal of differential equations 261(10), 5411-5423, 2016-11
• NAID 120005868581

• 惑星接近軌道から円周回軌道への遷移手法

• 宇宙科学技術連合講演会講演集 60, 5p, 2016-09-06
• NAID 40020938792

Related Links

• Hyperbolic function - Wikipedia, the free encyclopedia

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 ...

• Hyperbolic geometry - Wikipedia, the free encyclopedia

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 ...

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★リンクテーブル★

リンク元	「hyperbola」
拡張検索	「hyperbolic curve」

「hyperbola」

　　[★]

双曲線

関

hyperbolic、hyperbolic curve

　 　

「hyperbolic curve」

　　[★]

• 双曲線

関

hyperbola、hyperbolic