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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
>
Built-in
Mathematica
Symbol
Signature
Det
Cross
KroneckerDelta
See Also »
|
Summary of New Features in 7.0
Tensors
New in 7.0: Alphabetical Listing
New in 7.0: Lists and Matrices
More About »
LeviCivitaTensor
LeviCivitaTensor
[
d
]
gives the
d
-dimensional Levi-Civita totally antisymmetric tensor.
MORE INFORMATION
LeviCivitaTensor
[
d
]
gives a rank-
d
tensor with length
d
in each dimension.
The elements of
LeviCivitaTensor
[
d
]
are
0
,
-1
,
+1
, and can be obtained by applying
Signature
to their indices.
LeviCivitaTensor
gives a
SparseArray
object.
EXAMPLES
CLOSE ALL
Basic Examples
(1)
In[1]:=
Out[1]=
In[2]:=
Out[2]=
Scope
(3)
LeviCivitaTensor
returns a sparse array:
Build a cross product:
Properties & Relations
(1)
Components of the Levi-Civita tensor coincide with the value of
Signature
:
SEE ALSO
Signature
Det
Cross
KroneckerDelta
MORE ABOUT
Summary of New Features in 7.0
Tensors
New in 7.0: Alphabetical Listing
New in 7.0: Lists and Matrices
New in 7
EXAMPLES
Basic Examples 
Scope 