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GeezerVison is showing mathworld.wolfram.com — Step Function -- from Wolfram MathWorld

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Step Function

A step function is a function on the reals R if it can be written as a finite linear combination of semi-open intervals [a,b) subset= R. Therefore, a step function f can be written as

f(x)=alpha_1f_1(x)+...+alpha_nf_n(x),

where alpha_i in R, f_i(x)=1 if x in [a_i,b_i) and 0 otherwise, for i=1, ..., n.

See also

Heaviside Step Function

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Cite this as:

Weisstein, Eric W. "Step Function." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/StepFunction.html

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