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3:13 AM
Don't expect this to work: TimeSeries[{Interval[{0, 0}], Interval[{1, 3}]}, {0, 1}][1/2] ... (* Interval[{-(1/2), 5/2}] *)
The worst part is that the interpolation returns semi-sensible results...
 
3:32 AM
... the worst part about it is that it produces "almost sensible" results.
 
3:56 AM
Heh, repeating myself. :)
 
 
5 hours later…
8:47 AM
Why does the first integral return 0, while the others return $-2\pi$ ?
here's the code if you want to reproduce it
Integrate[-((I (EulerGamma + Sin[-I x]))/x) /. x -> (x - I) E^(I z), {z, 0, 2 [Pi]}]
Integrate[-((I (EulerGamma + Sin[-I x]))/x) /. x -> (-1 - I) E^(I z), {z, 0, 2 [Pi]}]
 
 
6 hours later…
2:29 PM
How Do I get wolfram alpha to do stuff like this. finf f(f(f(x))) for some f(x)
and stuff like find f(g(h(x))) for some f(x) g(x) and h(x)
 
 
2 hours later…
4:59 PM
nn = 200; t[n_, 1] = If[n == 1, 1, 0];
t[n_, k_] :=
t[n, k] = If[n >= k, Mod[Sum[t[n - i, k - 1], {i, 1, k - 1}], 2], 0];
MatrixPlot[Table[t[n, k], {n, 2*nn}, {k, n}],
ColorFunction -> "Monochrome"] (*Mats Granvik,Dec 06 2019*)
ArrayPlot[CellularAutomaton[30, {{1}, 0}, nn]]
The first plot is the Mahonian numbers mod 2, the second plot is Rule 30.
There are some similarities.
@apt45 What version of Mathematica are you using? I found a bug v 8.0.1 in a somewhat related integral about 2 years ago. It has be fixed in v 12.
 
5:21 PM
@MatsGranvik I am using 12.0.0
 
 
2 hours later…

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