Word Pronunciation & Dictionary

euler-lagrange equation

Word Rarity Very rare

Frequency: Zipf frequency 2.47 in modern English

Scrabble Score

Letters

Syllables

Unique Chars

Meaning

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.

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

Euler-Lagrange equations (plural)

What does euler-lagrange equation mean?: 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.
Where does euler-lagrange equation come from?: Named after the Swiss mathematician and physicist Leonhard Euler (1707–1783), and the Italian-born French mathematician and astronomer Joseph Louis Lagrange (1736–1813).

Open the pronunciation page — Open the Speakur entry for “euler-lagrange equation”.
Read the phonetic spelling — Read the IPA spelling () so you know which sounds to aim for.
Play the audio — Click Play to hear reference audio for “euler-lagrange equation”.
Repeat and practice — Say “euler-lagrange equation” aloud, matching stress and vowels until it feels natural.