Hello,
First of all, I'm so sorry if I make a silly question or if it's explained
anywhere, buy I can't find help.

I have to do a grayscale figure for the function show in fig1, using a
density function, and obtain the picture from fig2.
I have tried a lot of things, but at the end I don't know how to do it.

The fig1 representes l vs vl(l) for different R values, but the density
depends on l and R, no on vl.
At the end, the only way I foud is: Make a grid,  for an R value,go through
all the [x,y] points, asking if the function vl is defined there and, if so,
calculating the density, and then adding the values for all the R.
It seems a really hard way of doing it, that's way I would like to know if
anyone have other idea.

I would be really thankful if anyone can help me, because I'm frustated with
this problem
Thank you very much,
Illa

<<attachment: fig1.jpg>>

<<attachment: fig2.jpg>>

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