Variational Methods Isoperimetric Example

Summary

The first 1000 people to use the link will get a free trial of Skillshare Premium Membership: skl.sh/facultyofkhan01211 ... There are a few exercises in this video. Please stop and think about them when I ask you to! In this video, using the ideas of the first variation in the last video, I derive the Euler-Lagrange equation which allows us to ... You have probably heard of Dido's problem — a classic Develops the Euler-Lagrange equation for a functional with a second-order derivative and shows that it yields a 4th order ODE. This is the first video in a series where I will solve the Develops the procedure for computing the Euler-Lagrange function for functionals with multiple independent variables. Develops the solution of a simple geodesic optimization in 3D where the curve length to be minimized lies on a sphere centered ... Develops the concept of a delta operator. Shows that using the delta operator yields the same Euler-Lagrange equation as ... In this video, I solve the Euler-Lagrange equation to find an extremal function of a made-up functional to illustrate again how it's ... Recorded 11 February 2022. Steven Heilman of the University of Southern California presents "