Lagrangian

See also: lagrangian

English

Etymology

Lagrange +‎ -ian

Pronunciation

• IPA^(key): /ləˈɡɹɑ(ː)nd͡ʒi.ən/, /ləˈɡɹeɪnd͡ʒi.ən/, /læˈɡɹɑ̃ʒi.ən/

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Adjective

Lagrangian (not comparable)

1. Of or relating to Joseph Louis Lagrange.
   • 2018, Lars Ljungqvist and Thomas J. Sargent, Recursive macroeconomic theory, 4th edition, MIT Press, page 129:

     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.

2. (mechanics) Relating to Lagrangian mechanics.
3. (astrophysics) Of or relating to a Lagrange point.

   Hyponym: Trojan

Derived terms

• Lagrangian asteroid
• Lagrangian density
• Lagrangian mechanics
• Lagrangian moon
• Lagrangian planet

 

Noun

Lagrangian (plural Lagrangians)

1. (mathematics) Ellipsis of Lagrangian function.
2. (mechanics, specifically) A function summarizing the dynamics of a physical system, typically in non-relativistic contexts amounting to the kinetic energy minus the potential energy, $L=T-V$.
3. (astrophysics) An object residing in a Lagrange point.

   Hyponym: Trojan

4. (astrophysics) Ellipsis of Lagrangian point; a Lagrange point.
5. (quantum mechanics) Ellipsis of Lagrangian density.

Translations

function — see Lagrangian function