GCM15: Variational Calculus---prove straight line is the shortest path between two points

Описание к видео GCM15: Variational Calculus---prove straight line is the shortest path between two points

The Euler equations are used to extremize the arc length functional to obtain the extremal curves, which are straight lines between two points on the plane. Next, we use the technique of first variation to perturb the optimum path and show that the obtained path is in fact a global minimum.

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