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Feb
9
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Aug
10
comment How many positive values of $a$ are possible in $2^{3}\le a\lfloor a\rfloor \le 4^{2} + 1$
Then it that case it may be better phrased as "such that $a[a]$ is an integer" (otherwise there is an ambiguity that $a[a]$ is always an integer).
Aug
10
comment How many positive values of $a$ are possible in $2^{3}\le a\lfloor a\rfloor \le 4^{2} + 1$
Why is $a[a]$ necessarily an integer? e.g. $2.3[2.3] = 4.6$