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5 mins would be appropriate unless you are expressing it as an adjective then use the singular form, as in a five minute break or the ten minute mark Note, however, that not every order relation has this property of having upper bounds, not even for bounded subsets. It might therefore not be considered wrong to use singular forms of abbreviations with plural numbers.

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No, $m:=\min\ {x,y\}$ is a random variable itself that records the lowest value of $x,y$ The definitions for $\inf$ and $\min$ are symmetric when replacing upper bound by lower bound, etc You do not compare the probabilities but the values of the random variables.

So yes, it's a function that, taken two elements, gives you the minimum of those.

As we saw here, the minimum of two quantities can be written using elementary functions and the absolute value function Properties of min (x,y) and max (x,y) operators ask question asked 5 years, 3 months ago modified 5 years, 3 months ago What if the places are swapped, or some other combination Quadratic programming (convex optimization), linear programming, dynamic programming

How does it differ from minimax? Find local max, min, concavity, and inflection points ask question asked 11 years ago modified 10 years, 10 months ago 6 minimum is reached, infimum (may) not That is, the numbers of the form $1/n$ have an inf (that is, 0), while the natural numbers have a min (that is, 1).

Below a limit proof that requires in the end the use of the min function

I know i have to use delta = min {a,b} but i do not understand clearly how the min function does the job.