I'd like to use the $\min$ operator as a binary operator that returns the lowest of two given numbers. I'm not sure if this is the correct use of it, or if I should use something else.
$\text{Given four integers, }A,B,C, \text{ and }D \text{, take the lesser of the values between } A \text{ and } B \text{ and add it to the lesser value between }C \text{ and }D.$
I would perhaps express it like this:
$\min(A,B) + \min(C,D)$
But perhaps this is also correct:
$(A \min B) + (C \min D)$
And I think I've also seen something like this:
$(A, B)_{\min} + (C, D)_{\min}$
Is there some convention on this? Also, is this the correct operator to use, or is there a more expressive form?
I'm not sure there's a hard-and-fast convention, but I've commonly seen
$\min\{A,B\}$ and $\max\{A,B\}$
which also gives flexibility for sets, as well as
$A \downarrow B$ and $A \uparrow B$
for when an operation was needed.