Variational Methods (Delta Operator)

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  • เผยแพร่เมื่อ 25 ธ.ค. 2024
  • Develops the concept of a delta operator. Shows that using the delta operator yields the same Euler-Lagrange equation as original formulation. Gives examples of delta operator in conjunction with derivatives and integrals.

ความคิดเห็น • 2

  • @Sam-iy1kv
    @Sam-iy1kv 2 ปีที่แล้ว +2

    great! finally find a place explained the delta operator vs derivative, thank u

  • @mutiur7396
    @mutiur7396 ปีที่แล้ว

    You showed only a single graph for which there is a variation, which we derived. Since in this and in previous case (of last videos based o derivatives) we want to find an extremal function, which will have an infinite number of 'points' along x axis. My question is about eta function we used previously and referred here as well. Do we will need an infinite number of eta functions for each point x for comparison with 'known' assumed function. This will also imply that we will have to make similar calculation for infinite number of x axis points. Am i correct?