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calculus of variations

/ˈkælkjʊləs əv ˌveəriˈeɪʃənz/

1 entry

phrase

/ˈkælkjʊləs əv ˌveəriˈeɪʃənz/C2formalscientific
  • ruРаздел математики, занимающийся поиском функций, которые минимизируют или максимизируют функционалы, часто используемый в физике и инженерии для решения задач оптимизации.

A branch of mathematics that deals with finding functions that minimize or maximize functionals, often used in physics and engineering to solve optimization problems.

  1. Mathematical optimization methodC2formal

    A field of mathematical analysis that deals with finding functions that minimize or maximize functionals, which are often integrals.

    ruМетод математической оптимизации

    • The calculus of variations is used to find the shortest path between two points on a curved surface.
    • In physics, the principle of least action is derived using the calculus of variations.
    • Engineers apply the calculus of variations to optimize the shape of structures for maximum strength.