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Lagrangian

Lagrangian

1 9.9
Relating to a method of describing motion in physics developed by Lagrange
  • adjective
  • /ləˈɡræn.dʒən/
  • Specialized
: lagrangiano
  • In Lagrangian mechanics, the motion of a system is described using a Lagrangian function that combines kinetic and potential energy.
  • Lagrangian point
  • Lagrangian coherent
  • Lagrangian structures

Examples

  • Higher order kinematics (velocities and accelerations) were calculated numerically using a Lagrangian 5-point differentiation algorithm.

    Academic text (1999)
  • The approach itself mimics a common mathematical formulation of fluid mechanics, or Lagrangian specification, characterized by following particular particles as they move with the flow.

    Academic text (2011)
  • By contrast, the Lagrangian perspective is concerned with the identity of individual fluid elements.

    Academic text (2012)
  • What is the condition that the Lagrangian doesn't change.

  • So that's a package Lagrangian of a very simple form.

  • It is like the Lagrangian principle that you may have seen.

  • Lagrangian runs allowed for the detection of weak oceanographic structures in this region.

    Academic text (2018)
  • Chapter 1, for example, starts by discussing basic notions of Hamiltonian and Lagrangian mechanics.

    Academic text (2003)
  • The equations are derived as a Lagrangian expression by estimating all of the required energies for the model.

    Academic text (1995)
  • A well-tested discrete Lagrangian tracking model was implemented to simulate particle transport and deposition in the airways.

    Academic text (2017)

Surface Forms

Lagrangian positive

Morphology

Lagrangian = Lagrange (semi-transparent) = Lagrange + ian

Formed from the proper name 'Lagrange' plus the adjectival suffix '-ian'; the morphological formation is clear but the meaning is domain-specific and tied to the eponym.

Etymology

Lagrangian comes from the name of the French mathematician Lagrange and the ending -ian, which means 'of or relating to', as in Newtonian. So Lagrangian means 'relating to Lagrange's methods' and is used for the mathematical approach he gave to physics and mechanics.