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2005/06/14 | Jacobi恒等式[Jacobi Identities]
类别(∑〖数学〗)
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发表于 20:16
"The" Jacobi identity is a relationship
(1)
between three elements
A, B,
and
C,
where [
A, B
] is the
commutator
. The elements of a
Lie algebra satisfy
this identity.
Relationships between the
Q-functions
are also known as Jacobi identities:
(2)
equivalent to the
Jacobi triple product
(Borwein and Borwein 1987, p. 65) and
(3)
where
(4)
is the
complete elliptic integral of the first kind,
and
. Using
Weber functions
(5)
(6)
(7)
(5) and (6) become
(8)
(9)
(Borwein and Borwein 1987, p. 69).
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