linear transformation field

  • 1linear transformation — noun 1. : a transformation in which the new variables are linear functions of the old variables 2. : a function that maps the vectors of one vector space onto the vectors of the same or another vector space with the same field of scalars in such… …

    Useful english dictionary

  • 2linear transformation — Math. a map from one vector space to a vector space having the same field of scalars, with the properties that the map of the sum of two vectors is the sum of the maps of the vectors and the map of a scalar times a vector equals the scalar times… …

    Universalium

  • 3linear transformation — noun Date: circa 1846 1. a transformation in which the new variables are linear functions of the old variables 2. a function that maps the vectors of one vector space onto the vectors of the same or another vector space with the same field of… …

    New Collegiate Dictionary

  • 4Linear 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… …

    Wikipedia

  • 5Linear 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

  • 6Linear functional — This article deals with linear maps from a vector space to its field of scalars.  These maps may be functionals in the traditional sense of functions of functions, but this is not necessarily the case. In linear algebra, a linear functional… …

    Wikipedia

  • 7Field norm — In mathematics, the (field) norm is a mapping defined in field theory, to map elements of a larger field into a smaller one. Contents 1 Formal definitions 2 Example 3 Further properties 4 See also …

    Wikipedia

  • 8Linear regression — Example of simple linear regression, which has one independent variable In statistics, linear regression is an approach to modeling the relationship between a scalar variable y and one or more explanatory variables denoted X. The case of one… …

    Wikipedia

  • 9linear algebra — noun the part of algebra that deals with the theory of linear equations and linear transformation (Freq. 2) • Topics: ↑mathematics, ↑math, ↑maths • Hypernyms: ↑algebra * * * noun 1 …

    Useful english dictionary

  • 10Transformation optics — Electromagnetism Electricity · …

    Wikipedia