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Wolfram Cloud

Plot and Discrete Plot give vastly different results

Stefan Karos
Posted 10 years ago

If you can access Wolfram Cloud, this sheet shows it:

Plot and DiscretePlot Comparison

I am plotting Mod[x! , 2^x]

Basically, DiscretePlot shows the correct values, but Plot goes to 0 for values > 23

Why does Plot fail? I guess the way it is calculating factorial has something to do with it.
POSTED BY: Stefan Karos
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Stefan Karos
Stefan Karos
Posted 10 years ago

thank you. this gets me closer

Plot[Mod[x!, 2^x], {x, 20, 35}, PlotPoints -> 10, WorkingPrecisio> 40]

but I'd like to rescale the y -axis so I can see all the numbers (or possibly a logarithmic scale?)

and is it possible to print out the values when they are <100? ( so I can see the value of x as well as the result when it is close 0)
POSTED BY: Stefan Karos
POSTED BY: Sander Huisman
Stefan Karos
Stefan Karos
Posted 10 years ago

DiscretePlot[Mod[n !,2^n],{n,20,35}] discrete plot

Plot[Mod[m !, 2^m], {m,20,35}] plot
POSTED BY: Stefan Karos

What do you mean with 'fail' ? x! grows as x^x, so much slower than 2^x, so the 'mod' will chop up the function many many times and it will look like a lot of vertical lines... The values DiscretePlot shown (the integer ones) might not appear exactly in the Plot version, as it samples PlotPoints number of samples which might not be exactly integers...

Edit: Unfortunately we can not see the notebook as we don't have permission to do so. Therefore I'm speculating. Can you provide a screenshot?
POSTED BY: Sander Huisman
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