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17 ÁÕ¹Ò¤Á 2021, 18:40
The calculus of variations is a field of mathematical analysis that uses variations,
which are small changes in functions and functionals,
to find maxima and minima of functionals:
mappings from a set of functions to the real numbers.[a]
Functionals are often expressed as definite integrals involving functions
and their derivatives.
Functions that maximize or minimize functionals may be found using
the Euler–Lagrange equation of the calculus of variations.
which are small changes in functions and functionals,
to find maxima and minima of functionals:
mappings from a set of functions to the real numbers.[a]
Functionals are often expressed as definite integrals involving functions
and their derivatives.
Functions that maximize or minimize functionals may be found using
the Euler–Lagrange equation of the calculus of variations.