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Alternative notation

Using the Iverson bracket:

Often, a single-argument notation δ i {\displaystyle \delta _{i}} is used, which is equivalent to setting j = 0 {\displaystyle j=0}:

In linear algebra, it can be thought of as a tensor, and is written δ j i {\displaystyle \delta _{j}^{i}}. Sometimes the Kronecker delta is called the substitution tensor.