Euler-Lagrange equation

Math Formula Information

Formula: ${\displaystyle {\frac {\partial L}{\partial q_{i}}}={\frac {\mathrm {d} }{\mathrm {d} t}}\left({\frac {\partial L}{\partial {\dot {q}}_{i}}}\right)}$

Name: Euler-Lagrange equation

Description: Second-order partial differential equation whose solutions are the functions for which a given functional is stationary

Elements of the Formula

Lagrange function	${\displaystyle L}$	function of generalized coordinates and velocities from which the equations of motion of a mechanical system can be derived
generalized coordinate	${\displaystyle q_{i}}$	parameters that describe the configuration of the system relative to some reference configuration
duration	${\displaystyle t}$	physical quantity for describing the temporal distance between events

Data Source

https://www.wikidata.org/wiki/Special:EntityPage/Q875744