When do image sets resolve to finite sets when intersected with an
interval? For example:
I'm seeing that this looks great:
solveset(sin(x),domain = Reals).intersect(Interval(2,50))
{𝜋,2𝜋,3𝜋,4𝜋,5𝜋,6𝜋,7𝜋,8𝜋,9𝜋,10𝜋,11𝜋,12𝜋,13𝜋,14𝜋,15𝜋}
but
solveset(sin(sqrt(x)),domain = Reals).intersect(Interval(2,50))
[2,50]∩{𝑥2|𝑥∈[0,∞)∩{𝑛𝜋|𝑛∈ℤ}}
or
solveset(sin(sqrt(x)),domain = Reals).intersect(Interval(2,5))
[2,5]∩{𝑥2|𝑥∈[0,∞)∩{𝑛𝜋|𝑛∈ℤ}}
Don't resolve to finite set. I'm looking at the source for imageset but I
can't figure out why these don't resolve. Any direction on how this works
would be much appreciated!!
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