Step Function
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High Quality Content by WIKIPEDIA articles! In mathematics, a function on the real numbers is called a step function (or staircase function) if it can be written as a finite linear combination of indicator functions of intervals. Informally speaking, a step function is a piecewise constant function having only finitely many pieces. A constant function is a trivial example of a step function. Then there is only one interval, A_0=mathbb R. The Heaviside function H(x) is an important step function. It is the mathematical concept behind some test signals, such as those used to determine the step r...
High Quality Content by WIKIPEDIA articles! In mathematics, a function on the real numbers is called a step function (or staircase function) if it can be written as a finite linear combination of indicator functions of intervals. Informally speaking, a step function is a piecewise constant function having only finitely many pieces. A constant function is a trivial example of a step function. Then there is only one interval, A_0=mathbb R. The Heaviside function H(x) is an important step function. It is the mathematical concept behind some test signals, such as those used to determine the step response of a dynamical system. The rectangular function, the next simplest step function. The rectangular function, the normalized boxcar function, is the next simplest step function, and is used to model a unit pulse.
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