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  2. Hyperbolic trajectory - Wikipedia

    en.wikipedia.org/wiki/Hyperbolic_trajectory

    The blue path in this image is an example of a hyperbolic trajectory. A hyperbolic trajectory is depicted in the bottom-right quadrant of this diagram, where the 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 ...

  3. Hyperbolic motion (relativity) - Wikipedia

    en.wikipedia.org/wiki/Hyperbolic_motion_(relativity)

    Hyperbolic motion is the motion of an object with constant proper acceleration in special relativity. It is called hyperbolic motion because the equation describing the path of the object through spacetime is a hyperbola , as can be seen when graphed on a Minkowski diagram whose coordinates represent a suitable inertial (non-accelerated) frame.

  4. Hyperbolic space - Wikipedia

    en.wikipedia.org/wiki/Hyperbolic_space

    Most hyperbolic surfaces have a non-trivial fundamental group π 1 = Γ; the groups that arise this way are known as Fuchsian groups. The quotient space H 2 ‍ / ‍ Γ of the upper half-plane modulo the fundamental group is known as the Fuchsian model of the hyperbolic surface. The Poincaré half plane is also hyperbolic, but is simply ...

  5. Shape of the universe - Wikipedia

    en.wikipedia.org/wiki/Shape_of_the_universe

    Neither the hyperbolic nor the closed examples have an Event horizon. General relativity explains that mass and energy bend the curvature of spacetime and is used to determine what curvature the universe has by using a value called the density parameter, represented with Omega (Ω). The density parameter is the average density of the universe ...

  6. Before and After (film) - Wikipedia

    en.wikipedia.org/wiki/Before_and_After_(film)

    Before and After is a 1996 American crime drama film based on Rosellen Brown's 1992 novel of the same name about two parents who must deal with the after effects when their son is accused of murder. The movie was directed by Barbet Schroeder and starred Meryl Streep as Dr. Carolyn Ryan, Liam Neeson as Ben Ryan, Edward Furlong as Jacob Ryan, and ...

  7. These before and after photos show the real effects of ... - AOL

    www.aol.com/news/2016-05-01-these-before-and...

    Click through to see the shocking before and after images: The main side effects heroin causes on appearance according to New Health Advisor are: Weight loss due to loss of appetite, or because a ...

  8. Hyperbolic functions - Wikipedia

    en.wikipedia.org/wiki/Hyperbolic_functions

    In mathematics, hyperbolic functions are analogues of the ordinary trigonometric functions, but defined using the hyperbola rather than the circle.Just as the points (cos t, sin t) form a circle with a unit radius, the points (cosh t, sinh t) form the right half of the unit hyperbola.

  9. AOL Mail for Verizon Customers - AOL Help

    help.aol.com/products/aol-mail-verizon

    AOL Mail welcomes Verizon customers to our safe and delightful email experience!