(Or “linear transformation”) A function from a vector space to a vector space which respects the additive and multiplicative structures of the two: that is, for any two vectors, u, v, in the source vector space and any scalar, k, in the field over which it is a vector space, a linear map f satisfies f(u+kv) = f(u) + kf(v).
noun 1. any system for measuring length. 2. any unit used in linear measurement, as the inch, foot, meter, etc. noun 1. a unit or system of units for the measurement of length Also called long measure
noun 1. a mathematical system for representing three-dimensional objects and space on a two-dimensional surface by means of intersecting lines that are drawn vertically and horizontally and that radiate from one point (one-point perspective) two points (two-point perspective) or several points on a horizon line as perceived by a viewer imagined in an arbitrarily fixed […]
noun, Mathematics. 1. a mathematical operator with the property that applying it to a linear combination of two objects yields the same linear combination as the result of applying it to the objects separately.
noun, Optics. 1. . noun, Optics. 1. polarization of light in which the vibrations are confined to a single plane, that of the wave front. noun 1. a type of polarization in which the electric vector of waves of light or other electromagnetic radiation is restricted to vibration in a single plane