Kronecker delta

The Kronecker delta equals 1 when its two indices are equal and 0 otherwise. It is used throughout linear algebra, tensor calculus and physics to write sums compactly, for example to express the identity matrix or orthonormality.

\delta_{ik} = \begin{cases} 1 & i = k \\ 0 & i \ne k \end{cases}

What the symbols mean

Kronecker delta, a function of the two indices i and k
first index
second index

About this formula

  • FieldMathematics
  • TopicSpecial functions and notation
  • LevelUniversity
  • Also calledKronecker delta symbol, delta function discrete, identity matrix entries, Iverson bracket equality, kronecker delta definition
  • SourceWikidata Q192826

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