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Euler-Lagrange equations

Euler-Lagrange equations is the plural of Euler-Lagrange equation.

Meaning of Euler-Lagrange equation

Noun

Euler-Lagrange equation (plural Euler-Lagrange equations)

  1. (analytical mechanics) A differential equation which describes a function mathbf q(t) which describes a stationary point of a functional, S( mathbf q)=∫L(t, mathbf q(t), mathbf ̇q(t)),dt, which represents the action of mathbf q(t), with L representing the Lagrangian. The said equation (found through the calculus of variations) is ∂L/∂ mathbf q=d/dt∂L/∂ mathbf ̇q and its solution for mathbf q(t) represents the trajectory of a particle or object, and such trajectory should satisfy the principle of least action.

Questions about Euler-Lagrange equations

What is Euler-Lagrange equations the plural of?
Euler-Lagrange equations is the plural of Euler-Lagrange equation.

Words near Euler-Lagrange equations in the dictionary

  1. Euler's polyhedron formula
  2. Euler's rotation theorem
  3. Euler's totient function
  4. Euler-Fokker genus
  5. Euler-Lagrange equation
  6. Euler-Lagrange equations
  7. Euler-Maclaurin formula
  8. Euler-Mascheroni constant
  9. Eulerangle
  10. Eulerangles
  11. eulerian

Source and license

Adapted from Wiktionary: Euler-Lagrange equations (page history and authors); Euler-Lagrange equation (page history and authors). Text available under the Creative Commons Attribution-ShareAlike 4.0 license. Word.ws reformatted the entry and added links. Wiktionary data of 2026-09-02.

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