Fungsi Heaviside step: Béda antarrépisi

 

'''Fungsi Heaviside step''', ngaran nu dipake keur ngahargaan ka [[Oliver Heaviside]], nyaeta a [[Fungsi (matematik)|fungsi]] [[continuous|diskontinyu]] numana nileyna nyaeta [[zero|nol]] keur asupan negatip sarta [[one|hiji]] keur nu sejenna:

:<math>H(x)=\left\{\begin{matrix} 0 : x < 0 \\ \frac{1}{2} : x = 0 \\ 1 : x > 0 \end{matrix}\right. </math>

 

 

:<math>H_c(x) = H(x - c)\,\!</math>

 

 

The question of the [[Fourier transform]] of H is an interesting example for the theory of [[distribution]]s. It is often stated that it is 1/x, up to a [[normalizing constant]]. But near x=0 that cannot be justified: the definition must be given in terms of ''[[Cauchy principal value|principal value]]'' limit, and the transform isn't to be treated simply as a function. The corresponding [[convolution|convolution operator]] is the ''[[Hilbert transform]]''.

[[sl:Heavisidova skočna funkcija]]

[[sr:Хевисајдова одскочна функција]]

[[zh:单位阶跃函数]]