Heaviside Step Function - Algebraic Representation

Algebraic Representation

If is a decimal number with no more than decimal digits, the Heaviside step function can be represented by means of the following algebraic expression:

where and are arbitrary integers that satisfy, and is a Kronecker delta function.

For instance, if is integer, the simplest choice is:, . On the other hand, if belongs to a set of decimal numbers with decimal digits, the simplest choice is:, .

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