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hyperbolic program - translation to russian
![The [[Pseudosphere]]. Each half of this shape is a hyperbolic 2-manifold (i.e. surface) with boundary.](https://commons.wikimedia.org/wiki/Special:FilePath/The Pseudosphere.jpg?width=200 "The [[Pseudosphere]]. Each half of this shape is a hyperbolic 2-manifold (i.e. surface) with boundary.")
математика
гиперболическая программа
математика
гиперболическое пространство
![gravitational potential well]] of the central mass shows potential energy, and the kinetic energy of the hyperbolic trajectory is shown in red. The height of the kinetic energy decreases as the speed decreases and distance increases according to Kepler's laws. The part of the kinetic energy that remains above zero total energy is that associated with the hyperbolic excess velocity.](https://commons.wikimedia.org/wiki/Special:FilePath/Gravity Wells Potential Plus Kinetic Energy - Circle-Ellipse-Parabola-Hyperbola.png?width=200 "gravitational potential well]] of the central mass shows potential energy, and the kinetic energy of the hyperbolic trajectory is shown in red. The height of the kinetic energy decreases as the speed decreases and distance increases according to Kepler's laws. The part of the kinetic energy that remains above zero total energy is that associated with the hyperbolic excess velocity.")
математика
гиперболическая траектория
Wikipedia
In mathematics, a hyperbolic manifold is a space where every point looks locally like hyperbolic space of some dimension. They are especially studied in dimensions 2 and 3, where they are called hyperbolic surfaces and hyperbolic 3-manifolds, respectively. In these dimensions, they are important because most manifolds can be made into a hyperbolic manifold by a homeomorphism. This is a consequence of the uniformization theorem for surfaces and the geometrization theorem for 3-manifolds proved by Perelman.
