- hyperbolic transformation
- Математика: гиперболическое преобразование
Универсальный англо-русский словарь. Академик.ру. 2011.
hyperbolic transformation
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Hyperbolic geometry — Lines through a given point P and asymptotic to line R. A triangle immersed in a saddle shape plane (a hyperbolic paraboloid), as well as two diverging ultraparall … Wikipedia
Hyperbolic space — In mathematics, hyperbolic n space, denoted H n , is the maximally symmetric, simply connected, n dimensional Riemannian manifold with constant sectional curvature −1. Hyperbolic space is the principal example of a space exhibiting hyperbolic… … Wikipedia
Hyperbolic motion — In geometry, a hyperbolic motion is a mapping of a model of hyperbolic geometry that preserves the distance measure in the model. Such a mapping is analogous to congruences of Euclidean geometry which are compositions of rotations and… … Wikipedia
Hyperbolic quaternion — In mathematics, a hyperbolic quaternion is a mathematical concept first suggested by Alexander MacFarlane in 1891 in a speech to the American Association for the Advancement of Science. The idea was criticized for its failure to conform to… … Wikipedia
Hyperbolic spiral — A hyperbolic spiral is a transcendental plane curve also known as a reciprocal spiral. It has the polar equation r theta; = a , and is the inverse to the Archimedean spiral. It begins at an infinite distance from the pole in the centre (for… … Wikipedia
Möbius transformation — Not to be confused with Möbius transform or Möbius function. In geometry, a Möbius transformation of the plane is a rational function of the form of one complex variable z; here the coefficients a, b, c, d are complex numbers satisfying ad − … Wikipedia
Lorentz transformation — A visualisation of the Lorentz transformation (full animation). Only one space coordinate is considered. The thin solid lines crossing at right angles depict the time and distance coordinates of an observer at rest with respect to that frame; the … Wikipedia
Hjelmslev transformation — In mathematics, the Hjelmslev transformation is an effective method for mapping an entire hyperbolic plane into a circle with a finite radius. The transformation was invented by Danish mathematician Johannes Hjelmslev. It utilizes Nikolai… … Wikipedia
Bogoliubov transformation — In theoretical physics, the Bogoliubov transformation, named after Nikolay Bogolyubov, is a unitary transformation from a unitary representation of some canonical commutation relation algebra or canonical anticommutation relation algebra into… … Wikipedia
Nielsen transformation — In mathematics, especially in the area of abstract algebra known as combinatorial group theory, Nielsen transformations, named after Jakob Nielsen, are certain automorphisms of a free group which are a non commutative analogue of row reduction… … Wikipedia
Lorentz group — Group theory Group theory … Wikipedia
