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scalar identity

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  • Identity document — National identity card redirects here. For cards referred to in the English language as national identity card , see National identity card (disambiguation). An identity document (also called a piece of identification or ID, or colloquially as… …   Wikipedia

  • Scalar (mathematics) — In linear algebra, real numbers are called scalars and relate to vectors in a vector space through the operation of scalar multiplication, in which a vector can be multiplied by a number to produce another vector.More generally, the scalars… …   Wikipedia

  • Scalar multiplication — In mathematics, scalar multiplication is one of the basic operations defining a vector space in linear algebra (or more generally, a module in abstract algebra). Note that scalar multiplication is different from scalar product which is an inner… …   Wikipedia

  • identity matrix — noun a scalar matrix in which all of the diagonal elements are unity • Syn: ↑unit matrix • Hypernyms: ↑scalar matrix …   Useful english dictionary

  • scalar matrix — noun a diagonal matrix in which all of the diagonal elements are equal • Hypernyms: ↑diagonal matrix • Hyponyms: ↑identity matrix, ↑unit matrix …   Useful english dictionary

  • Weitzenböck identity — In mathematics, in particular in differential geometry, mathematical physics, and representation theory a Weitzenbock identity expresses a relationship between two second order elliptic operators on a manifold with the same leading symbol.… …   Wikipedia

  • Dot product — Scalar product redirects here. For the abstract scalar product, see Inner product space. For the operation on complex vector spaces, see Hermitian form. For the product of a vector and a scalar, see scalar multiplication. In mathematics, the dot… …   Wikipedia

  • Cross product — This article is about the cross product of two vectors in three dimensional Euclidean space. For other uses, see Cross product (disambiguation). In mathematics, the cross product, vector product, or Gibbs vector product is a binary operation on… …   Wikipedia

  • Vector space — This article is about linear (vector) spaces. For the structure in incidence geometry, see Linear space (geometry). Vector addition and scalar multiplication: a vector v (blue) is added to another vector w (red, upper illustration). Below, w is… …   Wikipedia

  • List of algebraic structures — In universal algebra, a branch of pure mathematics, an algebraic structure is a variety or quasivariety. Abstract algebra is primarily the study of algebraic structures and their properties. Some axiomatic formal systems that are neither… …   Wikipedia

  • Algebraic structure — In algebra, a branch of pure mathematics, an algebraic structure consists of one or more sets closed under one or more operations, satisfying some axioms. Abstract algebra is primarily the study of algebraic structures and their properties. The… …   Wikipedia

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