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 Apr 16 comment Approximating for $a \gg b$ @Jens Numerical accuracy would be fine, but as I explained, a series approximation is only numerically accurate for some values, whereas, there are clearly ways of doing it (a you have demonstrated) that do not assume, additionally, that $a$ is absolutely large (as opposed to comparatively large with respect to $b$) Apr 13 comment Neural network playground That's a very nice web app, I don't think you'll find anything in Mathematica that will be as well produced. Apr 13 comment Can you plot pure function without specifying variable? @J.M. Sure, but I think it's often what people would want. For example, you might have a the function f[a_] := D[a x^2, x] /. x -> 1 and not have access/be aware to the fact it is dependent on x internally, as it just looks like a simple mapping from a to f[a], but if you plot it with x you get a very different result to any other symbol. Apr 13 awarded Yearling Apr 13 comment Approximating for $a \gg b$ To the extent I can't think of a counter example I think it is right, though I really don't know what it's doing. Apr 13 comment Approximating for $a \gg b$ Maybe, I'll have to figure out exactly what it's doing. Looks promising. Apr 13 comment Approximating for $a \gg b$ I hope I didn't come across as dismissive, I appreciate the effort. By $a \gg b$ I mean something along the lines of $b = k a$ where $0 < k <$ something small - the series expansion assumes more than this alone. Apr 13 awarded Commentator Apr 13 comment How to export a notebook to google docs (without losing image quality) I'm guessing it's scaling the images (poorly) before exporting them... make them bigger, play with the image mode etc (right click)? Apr 13 revised Can you plot pure function without specifying variable? added 5 characters in body Apr 13 awarded Editor Apr 13 awarded Teacher Apr 13 revised Can you plot pure function without specifying variable? deleted 2 characters in body Apr 13 comment Approximating for $a \gg b$ The behaviour I would like is that the second on returns ArcTan[a], which would correct for $b \ll a \ll 1$. The series approximation fails quite badly. Apr 13 answered Can you plot pure function without specifying variable? Apr 13 comment Approximating for $a \gg b$ @J.M. A sensible solution for the example I gave, but I was hoping for a more general approach. What if I have ArcTan[a+b] Apr 13 asked Approximating for $a \gg b$ Jun 23 comment Simplify $\cos(n \pi)$ and $\sin(n \pi)$ when n is an integer @MichaelE2 Thanks. I think they are sufficiently different, though a comment in one of the answers implies there are yet more that refer to the same behaviour (bug, IMO). Jun 22 comment Simplify $\cos(n \pi)$ and $\sin(n \pi)$ when n is an integer If someone does know why the original one doesn't work, please post it :) Apr 8 comment Matrix Rotation @PrashantBhate Aha, thanks.