Fungsi Heaviside step: Béda antarrépisi

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<div style="float:right;margin-left:5px;text-align:center;padding-left:10px">[[Image:HeavisideStepFunction.png|The Heaviside step function]]</div>
 
'''Fungsi Heaviside step''', ngaran nu dipake keur ngahargaan [[Oliver Heaviside]], is a [[continuous|discontinuous]] [[functionFungsi (mathematicsmatematik)|function]] whose value is [[zero]] for negative inputs and [[one]] elsewhere:
:<math>H(x)=\left\{\begin{matrix} 0 : x < 0 \\ 1 : x \ge 0 \end{matrix}\right. </math>
 
The function is used in the mathematics of [[signal processing]] to represent a signal that switches on at a specified time and stays switched on indefinitely. Its [[derivative]] is formally the [[Dirac delta function]].
 
It is the [[cumulative distribution function]] of a [[randomvariabel variableacak]] which is [[almost surely]] 0. (See [[constant random variable]].)
 
The Heaviside function is the integral of the [[Dirac delta function]]. The value of H(0) is of very little importance, since the function is often used within an [[integration|integral]]. Some writers give H(0) = 0, some H(0) = 1. H(0) = 0.5 is often used, since it maximizes the [[symmetry]] of the function. This makes the definition: