Beltrami Identity
In physics problems it frequently turns out that ∂L / ∂x = 0. In that case, the Euler-Lagrange equation can be simplified to the Beltrami identity:
where C is a constant. The left hand side is the Legendre transformation of L with respect to f ′.
Read more about this topic: Calculus Of Variations
Famous quotes containing the word identity:
“So long as the source of our identity is external—vested in how others judge our performance at work, or how others judge our children’s performance, or how much money we make—we will find ourselves hopelessly flawed, forever short of the ideal.”
—Melinda M. Marshall (20th century)
Related Phrases
Related Words