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Signature
Signature
[
list
]
gives the signature of the permutation needed to place the elements of
list
in canonical order.
MORE INFORMATION
The signature of the permutation is
(-1)
n
, where
n
is the number of transpositions of pairs of elements that must be composed to build up the permutation.
If any two elements of
list
are the same,
Signature
[
list
]
gives
0
.
EXAMPLES
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Basic Examples
(1)
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Applications
(3)
Properties & Relations
(2)
Possible Issues
(2)
Neat Examples
(1)
SEE ALSO
Order
Sort
Cross
Minors
Det
KroneckerDelta
OrderedQ
Permutations
TUTORIALS
Combinatorial Functions
Tensors
RELATED LINKS
MathWorld
The Wolfram Functions Site
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Discrete Mathematics
Tensors
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© 2008 Wolfram Research, Inc.
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