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:
“Whether outside work is done by choice or not, whether women seek their identity through work, whether women are searching for pleasure or survival through work, the integration of motherhood and the world of work is a source of ambivalence, struggle, and conflict for the great majority of women.”
—Sara Lawrence Lightfoot (20th century)
Related Phrases
Related Words