Recent content by madrespek

the definition i know about is $$v = <\bar{v}>+<v> + v'$$ where $$<\cdot>$$ is time averaging, and $$ \bar{\cdot}$$ is zonal averaging. The terms of the RHS are, respectively, the mean meridional velocity, the stationary eddies, and the transient eddies. When people talk about...

I think this may lead to a correct answer: Notice that for n > 2 \int_0^\pi \csc^2(\frac{x}{n})-1dx = n\tan (\frac{\pi}{n})-\pi and that, \int_{0}^{2\pi}\cos(\frac{x}{n})-1dx=n\sin(\frac{2\pi}{n})-2\pi . Finally, I am pretty sure that the integrands in the above converge uniformly as...