Conversion of sets and tuple Is there a function/notation for converting a finite set $S$ into a tuple $T$ which contains the same elements? Likewise, is there a function/notation for converting a tuple into a set?
E.g. if $T = (1, 2, 5)$ then $S$ would be $\{1, 2, 5\}$.
I'm guessing that you can't convert a set to a tuple because sets are unordered, but a tuple to a set seems mathematically fine to me.

I don't think there's a common notation. And the best way to talk about this depends on how formal your discussion is (and how your tuples are defined).
For most purposes, something like the following would be just fine:

Let $S(T)$ denote the set of values in an ordered tuple $T$. For example, $S((3,5,3))=\{3,5\}$.

But in a more formal setting (a textbook on foundations?) maybe you would say something more like:

Recall that finite tuples of integers such as $(3,5,3)$ can be defined as functions from a finite ordinal to $\mathbb Z$. This allows us to refer to the image set of a tuple: e.g. $\mathrm{Im}(3,5,3)=\{3,5\}$.

