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In mathematics, the Kronecker delta is a function of two variables, usually just non-negative integers. The function is 1 if the variables are equal, and 0 otherwise:
The Kronecker delta appears naturally in many areas of mathematics, physics and engineering, as a means of compactly expressing its definition above.
In linear algebra, the n × n identity matrix I has entries equal to the Kronecker delta:
The restriction to positive or non-negative integers is common, but in fact, the Kronecker delta can be defined on an arbitrary set.
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