I don't mean the actual(adsbygoogle = window.adsbygoogle || []).push({}); definitionof the Euler-Lagrange equation per-se, but rather a word definition that's slipping my mind. I remember that if you want to measure the shortest distance between two points, you have to minimize an integral of all possible paths or something. Is that thing you're minimizing called anything in particular?

Basically, I'm trying to remember from my classical mechanics class two years ago on how, when you minimize that thing, you're minimizing something that doesn't physically exist or something to that effect. I realize my description is butchering the whole formalism, but can anyone give me a simple fill in the blank here?

You minimize ______ to find the shortest distance between two points.

**Physics Forums - The Fusion of Science and Community**

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Euler-lagrange definition slipping my mind

Loading...

Similar Threads - Euler lagrange definition | Date |
---|---|

A Maximization problem using Euler Lagrange | Feb 2, 2018 |

I Euler Lagrange formula with higher derivatives | Jan 24, 2018 |

A Derivation of Euler Lagrange, variations | Aug 26, 2017 |

I Rigorously understanding chain rule for sum of functions | Aug 6, 2017 |

I Help with Euler-Lagrange Equation | Jun 25, 2016 |

**Physics Forums - The Fusion of Science and Community**