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Concept information

mathematical analysis > functional analysis > calculus of variations

Terme préférentiel

calculus of variations  

Définition

  • The calculus of variations (or variational calculus) 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. 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.
    (Wikipedia, The Free Encyclopedia, https://en.wikipedia.org/wiki/Calculus_of_variations)

Concept générique

Synonyme(s)

  • variational calculus

Traductions

URI

http://data.loterre.fr/ark:/67375/PSR-LFNB3N57-B

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