Kronecker delta

The Kronecker delta δij is defined as having value 1 when i=j and 0 otherwise (i and j are integers). It may also be written as δij or δji. It is a special case of the generalized Kronecker delta symbol.

The delta symbol was first used in print by Kronecker in 1868[1].


The n×n identity matrixMathworldPlanetmath I can be written in terms of the Kronecker delta as simply the matrix of the delta, Iij=δij, or simply I=(δij).


  • 1 N. Higham, Handbook of writing for the mathematical sciences, Society for Industrial and Applied Mathematics, 1998.
Title Kronecker delta
Canonical name KroneckerDelta
Date of creation 2013-03-22 12:06:23
Last modified on 2013-03-22 12:06:23
Owner akrowne (2)
Last modified by akrowne (2)
Numerical id 7
Author akrowne (2)
Entry type Definition
Classification msc 15A99
Related topic IdentityMatrix
Related topic LeviCivitaPermutationSymbol3