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DiracDelta
DiracDelta
[
x
]
represents the Dirac delta function
.
DiracDelta
[
x
1
,
x
2
,
...
]
represents the multidimensional Dirac delta function
.
MORE INFORMATION
DiracDelta
[
x
]
returns
0
for all 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
[
x
1
,
x
2
,
...
]
returns 0 if any of the
x
i
are 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
CLOSE ALL
Basic Examples
(3)
In[1]:=
Out[1]=
In[2]:=
Out[2]=
DiracDelta
stays unevaluated for
:
In[1]:=
Out[1]=
Canonicalize arguments:
In[1]:=
Out[1]=
Scope
(4)
Generalizations & Extensions
(2)
Applications
(8)
Properties & Relations
(4)
Possible Issues
(8)
Neat Examples
(1)
SEE ALSO
HeavisideTheta
If
PrincipalValue
Limit
KroneckerDelta
DiscreteDelta
TUTORIALS
Generalized Functions and Related Objects
RELATED LINKS
MathWorld
The Wolfram Functions Site
MORE ABOUT
Calculus
Generalized Functions
Mathematical Functions
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. 
. 
:
EXAMPLES
Basic Examples 
Scope 