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and term-1: TeX pattern-expression "
δ
ν
1
…
ν
p
μ
1
…
μ
p
=
{
+
1
if
ν
1
…
ν
p
are distinct integers and are an even permutation of
μ
1
…
μ
p
−
1
if
ν
1
…
ν
p
are distinct integers and are an odd permutation of
μ
1
…
μ
p
0
in all other cases
.
{\displaystyle \delta _{\nu _{1}\dots \nu _{p}}^{\mu _{1}\dots \mu _{p}}={\begin{cases}+1&\quad {\text{if }}\nu _{1}\dots \nu _{p}{\text{ are distinct integers and are an even permutation of }}\mu _{1}\dots \mu _{p}\\-1&\quad {\text{if }}\nu _{1}\dots \nu _{p}{\text{ are distinct integers and are an odd permutation of }}\mu _{1}\dots \mu _{p}\\\;\;0&\quad {\text{in all other cases}}.\end{cases}}}
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