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Dictionary

Words, grammatical forms and meanings linked to the ontology.

Lagrangian en · ADJ

Pronunciation

  • /ləˈɡɹeɪnd͡ʒi.ən/
  • /læˈɡɹɑ̃ʒi.ən/
  • /ləˈɡɹɑ(ː)nd͡ʒi.ən/
  • (UK) audio

Etymology

Etymology tree English Lagrange Proto-Indo-European *-(i)yós Proto-Italic *-ijos Proto-Italic *-ios Old Latin -ios Latin -ius Proto-Indo-European *-nós Proto-Italic *-nos Proto-Italic *-ānos Latin -ānus Latin -iānusbor. English -ian English Lagrangian From Lagrange + -ian. Named after Italian nautralist Giuseppe Luigi Lagrangia (Joseph-Louis Lagrange) who became a Frenchman. From French Lagrange, from Italian Lagrangia. By surface analysis, Lagrangia + -ian.

Meanings

  1. (not-comparable) Of or relating to Joseph Louis Lagrange (Giuseppe Luigi Lagrangia).
    • 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:
  2. (not-comparable) Relating to Lagrangian mechanics.
  3. (not-comparable) Of or relating to a Lagrange point.

Deriveds

Lagrangian asteroid · Lagrangian moon · Lagrangian density · Lagrangian planet · Lagrangian test · Lagrangian mechanics

Lagrangian en · NOUN

Pronunciation

  • /ləˈɡɹeɪnd͡ʒi.ən/
  • /læˈɡɹɑ̃ʒi.ən/
  • /ləˈɡɹɑ(ː)nd͡ʒi.ən/
  • (UK) audio

Etymology

Etymology tree English Lagrange Proto-Indo-European *-(i)yós Proto-Italic *-ijos Proto-Italic *-ios Old Latin -ios Latin -ius Proto-Indo-European *-nós Proto-Italic *-nos Proto-Italic *-ānos Latin -ānus Latin -iānusbor. English -ian English Lagrangian From Lagrange + -ian. Named after Italian nautralist Giuseppe Luigi Lagrangia (Joseph-Louis Lagrange) who became a Frenchman. From French Lagrange, from Italian Lagrangia. By surface analysis, Lagrangia + -ian.

Meanings

  1. (abbreviation, alt-of, ellipsis) Ellipsis of Lagrangian function.
  2. (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. An object residing in a Lagrange point.
  4. (abbreviation, alt-of, ellipsis) Ellipsis of Lagrangian point, a Lagrange point.
  5. (abbreviation, alt-of, ellipsis, qualifier:quantum mechanics) Ellipsis of Lagrangian density.

Forms

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Lagrangians Number=Plur lexicographic