coordinate algebra

coordinate algebra
мат. координатная алгебра

Большой англо-русский и русско-английский словарь. 2001.

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  • 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 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

  • Algebra over a field — This article is about a particular kind of vector space. For other uses of the term algebra , see algebra (disambiguation). In mathematics, an algebra over a field is a vector space equipped with a bilinear vector product. That is to say, it is… …   Wikipedia

  • algebra, linear — Introduction       mathematical discipline that deals with vectors (vector) and matrices (matrix) and, more generally, with vector spaces (vector space) and linear transformations. Unlike other parts of mathematics that are frequently invigorated …   Universalium

  • algebra, elementary — Introduction       branch of mathematics that deals with the general properties of numbers and the relations between them. Algebra is fundamental not only to all further mathematics and statistics but to the natural sciences, computer science,… …   Universalium

  • coordinate geometry — noun the use of algebra to study geometric properties; operates on symbols defined in a coordinate system • Syn: ↑analytic geometry, ↑analytical geometry • Topics: ↑mathematics, ↑math, ↑maths • Hypernyms: ↑ …   Useful english dictionary

  • Linear algebra — R3 is a vector (linear) space, and lines and planes passing through the origin are vector subspaces in R3. Subspaces are a common object of study in linear algebra. Linear algebra is a branch of mathematics that studies vector spaces, also called …   Wikipedia

  • Cartesian coordinate system — Illustration of a Cartesian coordinate plane. Four points are marked and labeled with their coordinates: (2, 3) in green, (−3, 1) in red, (−1.5, −2.5) in blue, and the origin (0, 0) in purple. A Cartesian coordinate system specifies each point… …   Wikipedia

  • Trace (linear algebra) — In linear algebra, the trace of an n by n square matrix A is defined to be the sum of the elements on the main diagonal (the diagonal from the upper left to the lower right) of A, i.e., where aii represents the entry on the ith row and ith column …   Wikipedia

  • 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

  • Symmetric algebra — In mathematics, the symmetric algebra S ( V ) (also denoted Sym ( V )) on a vector space V over a field K is the free commutative unital associative K algebra containing V .It corresponds to polynomials with indeterminates in V , without choosing …   Wikipedia


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