Kronecker delta

The Kronecker delta $\\delta_{ij}$ is defined as having value 1 when $i=j$ and 0 otherwise ( $i$ and $j$ are integers). It may also be written as $\\delta^{ij}$ or $\\delta^{i}_{j}$ . It is a special case of the generalized Kronecker delta symbol.

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

Example.

The $n\\times n$ identity matrix $I$ can be written in terms of the Kronecker delta as simply the matrix of the delta, $I_{ij}=\\delta_{ij}$ , or simply $I=(\\delta_{ij})$ .

References

1 N. Higham, Handbook of writing for the mathematical sciences, Society for Industrial and Applied Mathematics, 1998.

单词	KroneckerDelta
释义	Kronecker delta The Kronecker delta $\\delta_{ij}$ is defined as having value 1 when $i=j$ and 0 otherwise ( $i$ and $j$ are integers). It may also be written as $\\delta^{ij}$ or $\\delta^{i}_{j}$ . It is a special case of the generalized Kronecker delta symbol. The delta symbol was first used in print by Kronecker in 1868[1]. Example. The $n\\times n$ identity matrix $I$ can be written in terms of the Kronecker delta as simply the matrix of the delta, $I_{ij}=\\delta_{ij}$ , or simply $I=(\\delta_{ij})$ . References 1 N. Higham, Handbook of writing for the mathematical sciences, Society for Industrial and Applied Mathematics, 1998.
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