Lagrangian equation

noun
UK /ləˈɡrændʒiən ɪˈkweɪʒən/
US /ləˈɡrɑːndʒiən ɪˈkweɪʒən/

A math rule that helps us figure out how things move and change.

The teacher used the Lagrangian equation to predict where the ball would roll.


OTHER MEANINGS

2. An equation in classical mechanics derived from the Lagrangian function that describes the motion of a system.

Engineers solved the Lagrangian equation to model the swinging pendulum.

3. A relation in the calculus of variations that gives the condition for a function to minimize or maximize an integral.

The student applied the Lagrangian equation to find the shortest path.

4. Any equation named after Joseph-Louis Lagrange, such as those in fluid dynamics or celestial mechanics.

The textbook covered the Lagrangian equation for planetary orbits.