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Euler-Lagrange equation

Euler-Lagrange equation noun: 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.

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.

Euler-Lagrange equation meaning in Tamil

Euler-Lagrange equation in Tamil

ஆய்லர் லகெராஞ்சு சமன்பாடு

Forms of Euler-Lagrange equation

pluralEuler-Lagrange equations

Origin of Euler-Lagrange equation

Named after the Swiss mathematician and physicist Leonhard Euler (1707–1783), and the Italian-born French mathematician and astronomer Joseph Louis Lagrange (1736–1813).

Questions about Euler-Lagrange equation

What does Euler-Lagrange equation mean?
Euler-Lagrange equation means 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.
What is Euler-Lagrange equation in Tamil?
Euler-Lagrange equation in Tamil is ஆய்லர் லகெராஞ்சு சமன்பாடு. See Euler-Lagrange equation meaning in Tamil.
What part of speech is Euler-Lagrange equation?
Euler-Lagrange equation is a noun.
What is the plural of Euler-Lagrange equation?
The plural of Euler-Lagrange equation is Euler-Lagrange equations.

Words near Euler-Lagrange equation in the dictionary

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

Source and license

Adapted from Wiktionary: Euler-Lagrange equation (page history and authors); euler-lagrange equation (Tamil Wiktionary) (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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