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Concept
Legendre's Relation
Legendre's relation
is a fundamental identity in the theory of
elliptic integrals
, establishing a linear relationship between three complete
elliptic integrals
of the first, second, and
Third kind
s. This relation is crucial for
simplifying expressions
in the study of
elliptic functions
and has
applications in physics
, particularly in problems involving
elliptic curves
and dynamics.
Relevant Degrees
Mathematical Analysis 78%
Algebra 22%
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