Euler-Lagrange equation

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English[edit]

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Etymology[edit]

Named after the Swiss mathematician and physicist Leonhard Euler (1707–1783), and the Italian-born French mathematician and astronomer Joseph Louis Lagrange (1736–1813).

Noun[edit]

Euler-Lagrange equation ‎(plural Euler-Lagrange equations)

  1. (mechanics, analytical mechanics) A differential equation which describes a function which describes a stationary point of a functional, , which represents the action of , with representing the Lagrangian. The said equation (found through the calculus of variations) is and its solution for represents the trajectory of a particle or object, and such trajectory should satisfy the principle of least action.