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Mathematica > Mathematics and Algorithms > Mathematical Functions > Generalized Functions > HeavisideLambda >

HeavisideLambda

HeavisideLambda[x]
represents the triangle distribution which is nonzero for .
HeavisideLambda
represents the multidimensional triangle distribution which is nonzero for .
  • HeavisideLambda can be used in derivatives, integrals, integral transforms, and differential equations.
Plot in one and two dimensions:
Higher derivatives involve DiracDelta distributions:
Plot in one and two dimensions:
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In[2]:=
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Higher derivatives involve DiracDelta distributions:
In[1]:=
Click for copyable input
Out[1]=
In[2]:=
Click for copyable input
Out[2]=
HeavisideLambda threads over lists:
FourierTransform of HeavisideLambda is a squared Sinc function:
TraditionalForm typesetting:
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