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  2. Position and momentum spaces - Wikipedia

    en.wikipedia.org/wiki/Position_and_momentum_spaces

    Position space (also real space or coordinate space) is the set of all position vectors r in Euclidean space, and has dimensions of length; a position vector defines a point in space. (If the position vector of a point particle varies with time, it will trace out a path, the trajectory of a particle.)

  3. Academic Torrents - Wikipedia

    en.wikipedia.org/wiki/Academic_Torrents

    Academic Torrents [1] [2] [3] [4] [5] [6] is a website which enables the sharing of research data using the BitTorrent protocol. The site was founded in November 2013 ...

  4. Position (geometry) - Wikipedia

    en.wikipedia.org/wiki/Position_(geometry)

    In geometry, a position or position vector, also known as location vector or radius vector, is a Euclidean vector that represents a point P in space. Its length represents the distance in relation to an arbitrary reference origin O , and its direction represents the angular orientation with respect to given reference axes.

  5. Coordinate system - Wikipedia

    en.wikipedia.org/wiki/Coordinate_system

    The coordinates are taken to be real numbers in elementary mathematics, but may be complex numbers or elements of a more abstract system such as a commutative ring. The use of a coordinate system allows problems in geometry to be translated into problems about numbers and vice versa ; this is the basis of analytic geometry .

  6. Motion - Wikipedia

    en.wikipedia.org/wiki/Motion

    In physics, equations of motion are equations that describe the behavior of a physical system in terms of its motion as a function of time. [3] More specifically, the equations of motion describe the behavior of a physical system as a set of mathematical functions in terms of dynamic variables.

  7. Where Mathematics Comes From - Wikipedia

    en.wikipedia.org/wiki/Where_Mathematics_Comes_From

    Where Mathematics Comes From: How the Embodied Mind Brings Mathematics into Being (hereinafter WMCF) is a book by George Lakoff, a cognitive linguist, and Rafael E. Núñez, a psychologist. Published in 2000, WMCF seeks to found a cognitive science of mathematics , a theory of embodied mathematics based on conceptual metaphor .

  8. Frame of reference - Wikipedia

    en.wikipedia.org/wiki/Frame_of_reference

    A coordinate system in mathematics is a facet of geometry or of algebra, [9] [10] in particular, a property of manifolds (for example, in physics, configuration spaces or phase spaces). [ 11 ] [ 12 ] The coordinates of a point r in an n -dimensional space are simply an ordered set of n numbers: [ 13 ] [ 14 ]

  9. Torrent file - Wikipedia

    en.wikipedia.org/wiki/Torrent_file

    The purpose is to reduce the file size of torrent files, which reduces the burden on those that serve torrent files. A torrent file using Merkle trees does not have a pieces key in the info list. Instead, such a torrent file has a root_hash key in the info list. This key's value is the root hash of the Merkle hash: