DiracDelta

DiracDelta[x]

represents the Dirac delta function .

DiracDelta[x1,x2,]

represents the multidimensional Dirac delta function .

Details

  • DiracDelta[x] returns 0 for all real numeric x other than 0.
  • DiracDelta can be used in integrals, integral transforms, and differential equations.
  • Some transformations are done automatically when DiracDelta appears in a product of terms.
  • DiracDelta[x1,x2,] returns 0 if any of the xi are real numeric and not 0.
  • DiracDelta has attribute Orderless.
  • For exact numeric quantities, DiracDelta internally uses numerical approximations to establish its result. This process can be affected by the setting of the global variable $MaxExtraPrecision.

Examples

open allclose all

Basic Examples  (3)

In[1]:=
Click for copyable input
Out[1]=
In[2]:=
Click for copyable input
Out[2]=

DiracDelta stays unevaluated for :

In[1]:=
Click for copyable input
Out[1]=

Canonicalize arguments:

In[1]:=
Click for copyable input
Out[1]=

Scope  (4)

Generalizations & Extensions  (2)

Applications  (8)

Properties & Relations  (4)

Possible Issues  (8)

Neat Examples  (1)

See Also

HeavisideTheta  DiracComb  Convolve  PrincipalValue  Limit  KroneckerDelta  DiscreteDelta  GreenFunction

Tutorials

Introduced in 1999
(4.0)