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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 Properties of min (x,y) and max (x,y) operators ask question asked 5 years, 4 months ago modified 5 years, 4 months ago It might therefore not be considered wrong to use singular forms of abbreviations with plural numbers.

No, $m:=\min\ {x,y\}$ is a random variable itself that records the lowest value of $x,y$ 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). 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.

Define $\arg\min_x f (x)$ as the set of values of $x$ for which the minimum of $f (x)$ is attained, so it is the set of values where the function attains the minimum. The space between arg and min is confusing It would better be written argmin What the operator argmin does, when applied to a function, is pick out the point in the function's domain at which the function takes its minimum value (assuming that the point is unique).

What if the places are swapped, or some other combination Quadratic programming (convex optimization), linear programming, dynamic programming How does it differ from minimax? The definitions for $\inf$ and $\min$ are symmetric when replacing upper bound by lower bound, etc

Note, however, that not every order relation has this property of having upper bounds, not even for bounded subsets.

English pronunciation practice can be a challenging part of learning a new language, but our exercises and printables can help make practicing fun! 6 minimum is reached, infimum (may) not

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