Hello i didn,t understand the slow motion approach of course i know that:(adsbygoogle = window.adsbygoogle || []).push({});

[tex] \frac{\partial f }{\partial x^{0}}\sim \epsilon \frac{\partial f }{\partial x^{a}} [/tex] according to this approach with epsilon<<<1 small parameter for every smooth function my doubts are.

a)what would happen to higher derivatives of f with respect to time and spatial coordinates?..x,y,z ?

b)If we only want effect upto first order in epsilon parameter then..what would happen to:

[tex] \nabla ^{2}f [/tex] (Laplacian)

[tex] (1,1,1)*Gra(f) [/tex] (scalar product involving the gradient)

or if we had [tex] \epsilon div(f) [/tex] would it mean that the only term that should be kept is df/dt if we consider effects only to first order?..

thanks.

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# Slow-motion approach

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