A scalar is a quantity that is invariantMathworldPlanetmath under coordinatePlanetmathPlanetmath transformation, also known as a tensor of rank 0. For example, the number 1 is a scalar, so is any number or variable n. The point (3,4) is not a scalar because it is variable under rotationMathworldPlanetmath. As such, a scalar can be an element of a field over which a vector spaceMathworldPlanetmath is defined.

Title scalar
Canonical name Scalar
Date of creation 2013-03-22 11:58:55
Last modified on 2013-03-22 11:58:55
Owner mathcam (2727)
Last modified by mathcam (2727)
Numerical id 8
Author mathcam (2727)
Entry type Definition
Classification msc 15A03
Related topic Vector
Related topic EigenvalueOfALinearOperator
Related topic AxialVector3