cube of a number

The cube of a number x is the third power ( x3 of x.  Similarly one may speak of the cube of an element x in any semigroup with the operationMathworldPlanetmath denoted multiplicatively (cf. general associativity).

The volume of a cube (i.e. regularPlanetmathPlanetmathPlanetmath ( hexahedron ( with a is a3; hence the name.

The cube functionxx3  from to is injectivePlanetmathPlanetmath, but not as a mapping from to ; one has  x3=y3  always when  xy=-1±i32,  the third root of unityMathworldPlanetmath.

Title cube of a number
Canonical name CubeOfANumber
Date of creation 2013-03-22 15:07:13
Last modified on 2013-03-22 15:07:13
Owner pahio (2872)
Last modified by pahio (2872)
Numerical id 15
Author pahio (2872)
Entry type Definition
Classification msc 20-00
Synonym cube
Synonym third power
Related topic SquareOfANumber
Related topic PowerFunction
Related topic CubeRoot
Related topic CubanPrime
Related topic SemicubicalParabola
Defines cube function