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HeavisidePi

HeavisidePi[x]
represents the box distribution , equal to 1 for and 0 for .
HeavisidePi
represents the multidimensional box distribution which is 1 if all .
  • HeavisidePi[x] returns or for all numeric x other than and .
  • HeavisidePi can be used in derivatives, integrals, integral transforms and differential equations.
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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In[2]:=
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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]=
The convolution of HeavisidePi is HeavisideLambda:
HeavisidePi threads over lists:
TraditionalForm formatting:
HeavisidePi can be expressed in terms of HeavisideTheta:
New in 7