Problem with Lagrangian function

Thread starter Mateusz
Start date Sep 4, 2015
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Function Lagrangian

AI Thread Summary

The discussion focuses on understanding the transition between equations using a Taylor expansion. The user is trying to apply the Taylor expansion to the Lagrangian function, specifically with the variables defined as f = L, x = v^2, and Δx = 2vε. Clarification is provided that "powers series" refers to a Taylor expansion. The conversation highlights the importance of correctly interpreting mathematical terms in the context of Lagrangian mechanics. Overall, the exchange emphasizes the utility of Taylor expansions in simplifying complex equations.

Sep 4, 2015

Mateusz

Hello,
I trying to understood some transition from one equation to another but i need a little help with that.
So we have, a

Had problems with Latex :).

Last edited: Sep 4, 2015

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Sep 4, 2015

Geofleur

Science Advisor

Gold Member

Use a Taylor expansion, ## f(x+\Delta x) \approx f(x) + \frac{df}{dx}\Delta x ## with ## f = L ##, ## x = v^2 ##, and ## \Delta x = 2v\epsilon ##.

Sep 5, 2015

Mateusz

Ohh so when he said "powers series" he means "Taylor expansion", thank you :)

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