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HeavisidePi

HeavisidePi[x]
represents the box distribution Pi(x), equal to 1 for and 0 for .
HeavisidePi[x1, x2, ...]
represents the multidimensional box distribution Pi(x_1,x_2,...) which is 1 if all .
  • HeavisidePi[x] returns 0 or 1 for all numeric x other than -1/2 and 1/2.
  • HeavisidePi can be used in derivatives, integrals, integral transforms and differential equations.
EXAMPLESCLOSE ALL
Basic Examples   (3)
Plot in one and two dimensions:
The derivative generates DiracDelta distributions:
The Fourier transform is a Sinc function:
Plot in one and two dimensions:
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The derivative generates DiracDelta distributions:
In[1]:=
Click for copyable input
Out[1]=
 
The Fourier transform is a Sinc function:
In[1]:=
Click for copyable input
Out[1]=
Scope   (3)
The convolution of HeavisidePi is HeavisideLambda:
HeavisidePi threads over lists:
TraditionalForm formatting:
Properties & Relations   (1)
HeavisidePi can be expressed in terms of HeavisideTheta:
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