Kronecker delta

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Definition

The Kronecker delta is a symbol, [ilmath]\delta^i_j[/ilmath] for [ilmath]i,j\in\mathbb{N}_{\ge 1} [/ilmath] defined as[1]:

  • [math]\delta_j^i:=\left\{\begin{array}{lr}1 & \text{if }i=j\\0&\text{otherwise}\end{array}\right.[/math]

There's nothing more to say.

References

  1. Introduction to Smooth Manifolds - John M. Lee