The notation arg max
) in mathematical descriptions stands for the argument of the maximum
, that is to say, the value of the given argument
for which the value of the given expression attains its maximum
value. This is well-defined only if the maximum is reached at a single value. Thus
holds if and only if x0
is the unique value of x
for which f
) is maximized.
arg min (or argmin) is defined analogously.