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 Yearling
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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.