Lagrangian meaning: definition, etymology and quotations

Lagrangian

adj

/ləˈɡɹɑ(ː)nd͡ʒi.ən/ · /ləˈɡɹeɪnd͡ʒi.ən/

Etymology From Lagrange + -ian.

Of or relating to Joseph Louis Lagrange.

After studying a recursive formulation and the associated Bellman equation, in section 5.5 we analyze a Lagrangian formulation that provides useful insights about how Lagrange multipliers on transition laws relate to gradients of value functions.2018, Lars Ljungqvist and Thomas J. Sargent, Recursive macroeconomic theory, 4th edition, MIT Press, page 129:

Engineering, Mechanical engineering, Mechanics, Natural sciences, Physical sciences Relating to Lagrangian mechanics.

Astrophysics Of or relating to a Lagrange point.

Derived terms: Lagrangian asteroid, Lagrangian density, Lagrangian mechanics, Lagrangian moon, Lagrangian planet

Lagrangian

noun

Etymology From Lagrange + -ian.

Mathematics, Sciences Abbreviation, Ellipsis Ellipsis of Lagrangian function.

Engineering, Mechanical engineering, Mechanics, Natural sciences, Physical sciences Specifically A function summarizing the dynamics of a physical system, typically in non-relativistic contexts amounting to the kinetic energy minus the potential energy, L=T-V.

Astrophysics An object residing in a Lagrange point.

Astrophysics Abbreviation, Ellipsis Ellipsis of Lagrangian point, a Lagrange point.

Abbreviation, Ellipsis Ellipsis of Lagrangian density.

Quantum mechanics