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calculus of variations

/ˈkælkjʊləs əv ˌveəriˈeɪʃənz/

翻译: 数学的一个分支,研究如何寻找使泛函达到极小值或极大值的函数,常用于物理和工程中的优化问题。

1 个条目

phrase

/ˈkælkjʊləs əv ˌveəriˈeɪʃənz/C2formalscientific
  • zh数学的一个分支,研究如何寻找使泛函达到极小值或极大值的函数,常用于物理和工程中的优化问题。

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.

    zh变分法

    • 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.