linear dimensions

  • 11Linear map — In mathematics, a linear map, linear mapping, linear transformation, or linear operator (in some contexts also called linear function) is a function between two vector spaces that preserves the operations of vector addition and scalar… …

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  • 12Linear system of divisors — A linear system of divisors algebraicizes the classic geometric notion of a family of curves, as in the Apollonian circles. In algebraic geometry, a linear system of divisors is an algebraic generalization of the geometric notion of a family of… …

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  • 13Linear complex structure — In mathematics, a complex structure on a real vector space V is an automorphism of V that squares to the minus identity, −I. Such a structure on V allows one to define multiplication by complex scalars in a canonical fashion so as to regard V as… …

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  • 14Linear classifier — In the field of machine learning, the goal of classification is to group items that have similar feature values, into groups. A linear classifier achieves this by making a classification decision based on the value of the linear combination of… …

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  • 15Linear dynamical system — In a linear dynamical system, the variation of a state vector (an N dimensional vector denoted mathbf{x}) equals a constant matrix(denoted mathbf{A}) multiplied by mathbf{x}. This variation can take two forms: either as a flow, in which mathbf{x} …

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  • 16Linear subspace — The concept of a linear subspace (or vector subspace) is important in linear algebra and related fields of mathematics.A linear subspace is usually called simply a subspace when the context serves to distinguish it from other kinds of subspaces.… …

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  • 17linear algebra — Math. See under algebra (def. 2). [1890 95] * * * Branch of algebra concerned with methods of solving systems of linear equations; more generally, the mathematics of linear transformations and vector spaces. Linear refers to the form of the… …

    Universalium

  • 18linear measure — measure meas ure (m[e^]zh [ u]r; 135), n. [OE. mesure, F. mesure, L. mensura, fr. metiri, mensus, to measure; akin to metrum poetical measure, Gr. me tron, E. meter. Cf. {Immense}, {Mensuration}, {Mete} to measure.] 1. A standard of dimension; a… …

    The Collaborative International Dictionary of English

  • 19Linear micrometer — Micrometer Mi*crom e*ter, n. [Micro + meter: cf. F. microm[ e]tre.] An instrument, used with a telescope or microscope, for measuring minute distances, or the apparent diameters of objects which subtend minute angles. The measurement given… …

    The Collaborative International Dictionary of English

  • 20algebra, 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