coordinate basis

coordinate basis
Макаров: базис системы координат, координатный базис

Универсальный англо-русский словарь. . 2011.

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  • Basis (linear algebra) — Basis vector redirects here. For basis vector in the context of crystals, see crystal structure. For a more general concept in physics, see frame of reference. In linear algebra, a basis is a set of linearly independent vectors that, in a linear… …   Wikipedia

  • Coordinate vector — In linear algebra, a coordinate vector is an explicit representation of a vector in an abstract vector space as an ordered list of numbers or, equivalently, as an element of the coordinate space Fn. Coordinate vectors allow calculations with… …   Wikipedia

  • Coordinate space — In mathematics, specifically in linear algebra, the coordinate space, Fn, is the prototypical example of an n dimensional vector space over a field F. It can be defined as the product space of F over a finite index set. Contents 1 Definition 1.1… …   Wikipedia

  • Coordinate-induced basis — In mathematics, a coordinate induced basis is a basis for the tangent space or cotangent space of a manifold that is induced by a certain coordinate system. Given the coordinate system xa, the coordinate induced basis ea of the tangent space is… …   Wikipedia

  • Coordinate system — For geographical coordinates on Wikipedia, see Wikipedia:WikiProject Geographical coordinates. In geometry, a coordinate system is a system which uses one or more numbers, or coordinates, to uniquely determine the position of a point or other… …   Wikipedia

  • Coordinate time — In the theory of relativity, it is convenient to express results in terms of a spacetime coordinate system relative to an implied observer. In many (but not all) coordinate systems, an event is specified by one time coordinate and three spatial… …   Wikipedia

  • Coordinate-free — A coordinate free, or component free, treatment of a scientific theory or mathematical topic develops its ideas without reference to any particular coordinate system. Coordinate free treatments generally allow for simpler systems of equations,… …   Wikipedia

  • Coordinate-free treatment — A coordinate free, or component free, treatment of a scientific theory or mathematical topic develops its ideas without reference to any particular coordinate system. Coordinate free treatments generally allow for simpler systems of equations,… …   Wikipedia

  • Basis (universal algebra) — Definitions The basis (or reference frame) of a (universal) algebra is a function b that takes some algebra elements as values b(i) and satisfies either one of the following two equivalent conditions. Here, the set of all b(i) is called basis set …   Wikipedia

  • Coordinate transformation — See: *Coordinate transformations *List of canonical coordinate transformations *Coordinate rotation *Covariance and contravariance *Covariant transformation *Atlas (topology) *Change of basis disambig …   Wikipedia

  • coordinate system — Math. any method that uses numbers to represent a point, line, or the like. * * * Arrangement of reference lines or curves used to identify the location of points in space. In two dimensions, the most common system is the Cartesian (after René… …   Universalium


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