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…mehr

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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 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.