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Stephen Wolfram
SEARCH MATHEMATICA 8 DOCUMENTATION
THIS IS DOCUMENTATION FOR AN OBSOLETE PRODUCT.
SEE THE
DOCUMENTATION CENTER
FOR THE LATEST INFORMATION.
Mathematica
>
Mathematics and Algorithms
>
Mathematical Functions
>
Generalized Functions
>
Built-in
Mathematica
Symbol
DiracDelta
HeavisideTheta
HeavisidePi
HeavisideLambda
FourierTransform
Convolve
SquareWave
See Also »
|
Generalized Functions
Mathematical Functions
Summary of New Features in 7.0
New in 7.0: Alphabetical Listing
New in 7.0: Mathematics & Algorithms
More About »
DiracComb
DiracComb
[
x
]
represents the Dirac comb function giving a delta function at every integer point.
DiracComb
[
x
1
,
x
2
,
...
]
represents the multidimensional Dirac comb function.
MORE INFORMATION
DiracComb
[
x
]
is equivalent to
.
DiracComb
can be used in derivatives, integrals, integral transforms and differential equations.
DiracComb
has attribute
Orderless
.
EXAMPLES
CLOSE ALL
Basic Examples
(2)
DiracComb
vanishes for non-integer arguments:
DiracComb
stays unevaluated for integer
x
:
The Fourier transform of
DiracComb
is a
DiracComb
:
DiracComb
vanishes for non-integer arguments:
In[1]:=
Out[1]=
DiracComb
stays unevaluated for integer
x
:
In[2]:=
Out[2]=
The Fourier transform of
DiracComb
is a
DiracComb
:
In[1]:=
Out[1]=
SEE ALSO
DiracDelta
HeavisideTheta
HeavisidePi
HeavisideLambda
FourierTransform
Convolve
SquareWave
MORE ABOUT »
Generalized Functions
Mathematical Functions
Summary of New Features in 7.0
New in 7.0: Alphabetical Listing
New in 7.0: Mathematics & Algorithms
New in 7