Euler–Lagrange equation love

Euler–Lagrange equation

Definitions

from Wiktionary, Creative Commons Attribution/Share-Alike License

  • n. 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.

Etymologies

from Wiktionary, Creative Commons Attribution/Share-Alike License

Named after Leonhard Euler (1707–1783), Swiss mathematician and physicist, and Joseph Louis Lagrange (1736–1813), French mathematician and astronomer — originally from Italy.

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