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ordered basis

См. также в других словарях:

  • 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

  • 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

  • Standard basis — In mathematics, the standard basis (also called natural basis or canonical basis) of the n dimensional Euclidean space Rn is the basis obtained by taking the n basis vectors:{ e i : 1leq ileq n}where e i is the vector with a 1 in the ith… …   Wikipedia

  • Schauder basis — In mathematics, a Schauder basis or countable basis is similar to the usual (Hamel) basis of a vector space; the difference is that Hamel bases use linear combinations that are finite sums, while for Schauder bases they may be infinite sums. This …   Wikipedia

  • standard basis — The basis of assessment of costs where the court will only allow costs which are proportionate to the matters in issue and resolve any doubt which it may have as to whether or not costs were reasonably incurred or reasonable and proportionate in… …   Law dictionary

  • Diffusion Ordered Spectroscopy — Ein 300 MHz NMR Spektrometer Die Kern(spin)resonanzspektroskopie (NMR Spektroskopie von engl. nuclear magnetic resonance) ist eine spektroskopische Methode, welche die Untersuchung der elektronischen Umgebung einzelner Atome und der… …   Deutsch Wikipedia

  • Theorems and definitions in linear algebra — This article collects the main theorems and definitions in linear algebra. Vector spaces A vector space( or linear space) V over a number field² F consists of a set on which two operations (called addition and scalar multiplication, respectively) …   Wikipedia

  • Orientation (vector space) — See also: orientation (geometry) The left handed orientation is shown on the left, and the right handed on the right. In mathematics, orientation is a notion that in two dimensions allows one to say when a cycle goes around clockwise or… …   Wikipedia

  • Orientation (mathematics) — See also orientation (geometry). In mathematics, an orientation on a real vector space is a choice of which ordered bases are positively oriented and which are negatively oriented. In the three dimensional Euclidean space, the two possible basis… …   Wikipedia

  • Moving frame — The Frenet Serret frame on a curve is the simplest example of a moving frame. In mathematics, a moving frame is a flexible generalization of the notion of an ordered basis of a vector space often used to study the extrinsic differential geometry… …   Wikipedia

  • Quaternion — Quaternions, in mathematics, are a non commutative extension of complex numbers. They were first described by the Irish mathematician Sir William Rowan Hamilton in 1843 and applied to mechanics in three dimensional space. They find uses in both… …   Wikipedia

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