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GYROVECTOR SPACE

  • Gyrovector space
  • Mathematical space used to study hyperbolic geometry

    A gyrovector space is a mathematical concept proposed by Abraham A. Ungar for studying hyperbolic geometry in analogy to the way vector spaces are used

    Gyrovector space

    Gyrovector space

    Gyrovector_space

  • Coordinate systems for the hyperbolic plane
  • Category of coordinate systems

    {1}{\sqrt {1-\tanh ^{2}x_{a}-\tanh ^{2}y_{a}}}}\right)} Gyrovector space From Gyrovector space#Triangle centers The study of triangle centers traditionally

    Coordinate systems for the hyperbolic plane

    Coordinate_systems_for_the_hyperbolic_plane

  • Henri Poincaré
  • French mathematician, physicist and engineer (1854–1912)

    Beltrami–Klein model can be related to the relativistic velocity space (see Gyrovector space). In 1892 Poincaré developed a mathematical theory of light including

    Henri Poincaré

    Henri Poincaré

    Henri_Poincaré

  • Hyperbola
  • Plane curve: conic section

    non-Euclidean geometry), hyperbolic functions (sinh, cosh, tanh, etc.), and gyrovector spaces (a geometry proposed for use in both relativity and quantum mechanics

    Hyperbola

    Hyperbola

    Hyperbola

  • Bloch sphere
  • Representation of a quantum mechanical system

    Commons has media related to Bloch spheres. Atomic electron transition Gyrovector space Versors Specific implementations of the Bloch sphere are enumerated

    Bloch sphere

    Bloch sphere

    Bloch_sphere

  • Lorentz transformation
  • Family of linear transformations

    representation of SO(3). Algebra of physical space Electromagnetic field Galilean transformation Gyrovector space Hyperbolic rotation Lorentz group Prandtl–Glauert

    Lorentz transformation

    Lorentz transformation

    Lorentz_transformation

  • Glossary of areas of mathematics
  • Gyrotrigonometry a form of trigonometry used in gyrovector space for hyperbolic geometry. (An analogy of the vector space in Euclidean geometry.) Contents:  Top

    Glossary of areas of mathematics

    Glossary_of_areas_of_mathematics

  • Galilean transformation
  • Concept in physics and mathematics

    and its Gyroscopic Thomas Precession: The Theory of Gyrogroups and Gyrovector Spaces (illustrated ed.). Springer Science & Business Media. p. 336. ISBN 978-0-306-47134-6

    Galilean transformation

    Galilean_transformation

  • Generalized trigonometry
  • Study of triangles in other spaces than the Euclidean plane

    (cosh t, sinh t). Gyrotrigonometry: A form of trigonometry used in the gyrovector space approach to hyperbolic geometry, with applications to special relativity

    Generalized trigonometry

    Generalized trigonometry

    Generalized_trigonometry

  • Proper velocity
  • Ratio in relativity

    This formula provides a proper velocity gyrovector space model of hyperbolic geometry that uses a whole space compared to other models of hyperbolic geometry

    Proper velocity

    Proper velocity

    Proper_velocity

  • Wigner rotation
  • Theoretical physics phenomenon

    tom[u, v] for "Thomas rotation" or gyr[u, v] for "gyration" (see gyrovector space). Correspondingly the 4d rotation matrix R (non-bold italic) in this

    Wigner rotation

    Wigner rotation

    Wigner_rotation

  • Bol loop
  • Algebraic structure

    Beyond the Einstein Addition Law and Its Gyroscopic Thomas Precession: The Theory of Gyrogroups and Gyrovector Spaces. Kluwer. ISBN 978-0-7923-6909-7.

    Bol loop

    Bol_loop

  • Index of physics articles (G)
  • Gyrokinetic ElectroMagnetic Gyromagnetic ratio Gyroradius Gyroscope Gyrovector space Gyula Farkas (natural scientist) György Szigeti Gérard Mourou Gödel

    Index of physics articles (G)

    Index_of_physics_articles_(G)

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GYROVECTOR SPACE

  • Spaced
  • imp. & p. p.

    of Space

  • Valley
  • n.

    The space inclosed between ranges of hills or mountains; the strip of land at the bottom of the depressions intersecting a country, including usually the bed of a stream, with frequently broad alluvial plains on one or both sides of the stream. Also used figuratively.

  • Vacuole
  • n.

    A small air cell, or globular space, in the interior of organic cells, either containing air, or a pellucid watery liquid, or some special chemical secretions of the cell protoplasm.

  • Vicinity
  • n.

    That which is near, or not remote; that which is adjacent to anything; adjoining space or country; neighborhood.

  • Vacuum
  • n.

    A space entirely devoid of matter (called also, by way of distinction, absolute vacuum); hence, in a more general sense, a space, as the interior of a closed vessel, which has been exhausted to a high or the highest degree by an air pump or other artificial means; as, water boils at a reduced temperature in a vacuum.

  • Vacation
  • n.

    Intermission of judicial proceedings; the space of time between the end of one term and the beginning of the next; nonterm; recess.

  • Vacuist
  • n.

    One who holds the doctrine that the space between the bodies of the universe, or the molecules and atoms of matter., is a vacuum; -- opposed to plenist.

  • Velocity
  • n.

    Rate of motion; the relation of motion to time, measured by the number of units of space passed over by a moving body or point in a unit of time, usually the number of feet passed over in a second. See the Note under Speed.

  • Vast
  • n.

    A waste region; boundless space; immensity.

  • Verge
  • n.

    A border, limit, or boundary of a space; an edge, margin, or brink of something definite in extent.

  • Space
  • n.

    To arrange or adjust the spaces in or between; as, to space words, lines, or letters.

  • Void
  • n.

    An empty space; a vacuum.

  • Voided
  • a.

    Having the inner part cut away, or left vacant, a narrow border being left at the sides, the tincture of the field being seen in the vacant space; -- said of a charge.

  • Spaceless
  • a.

    Without space.

  • Vacancy
  • n.

    An open or unoccupied space between bodies or things; an interruption of continuity; chasm; gap; as, a vacancy between buildings; a vacancy between sentences or thoughts.

  • Vacuity
  • n.

    Space unfilled or unoccupied, or occupied with an invisible fluid only; emptiness; void; vacuum.

  • Volume
  • n.

    Dimensions; compass; space occupied, as measured by cubic units, that is, cubic inches, feet, yards, etc.; mass; bulk; as, the volume of an elephant's body; a volume of gas.

  • Walker
  • n.

    A forest officer appointed to walk over a certain space for inspection; a forester.

  • Space
  • n.

    A quantity or portion of extension; distance from one thing to another; an interval between any two or more objects; as, the space between two stars or two hills; the sound was heard for the space of a mile.

  • Velum
  • n.

    The circular membrane that partially incloses the space beneath the umbrella of hydroid medusae.