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I'm trying to define a set of "fixed precision" or "rounded" numbers. For example, I want to define a rotation in degrees by every $5$ degrees, so $X = \{0,5, \ldots , 355, 360\}$.

$X = \{x_i \in \Re \mid (x_\min \le x_i \le x_\max) \text{ and } (x_i \mod p = 0)\}$

$p$ - precision (5)

$x_\min$ - minimum (0)

$x_\max$ - maximum (360)

This occurs frequently in engineering. Is there a name for this type of set? And what about trailing zeroes? In the above, this set would also include $0.00$, $5.00000$, etc., which I want to avoid since the set should have only 73 elements in it!

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    @anon good point, there is no difference between $0$.00 and 0 mathematically, but I am using this in a computer algorithm where I do want to track significant figures. So maybe I should be talking about sets of strings? And diff between 0 and 360 rotation might be talking about turns of a screw - but agree this was a confusing choice of example2012-04-12

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