arg max

The function arg max ( argumentum maximus, dt argument of the maximum) is a function used in the analysis to determine the point at which a function assumes its maximum. Similarly, the function is used arg min.

• 2.1 Example

Definition

Is the domain of a function, it is the point at which the function assumes its maximum, that is,

So it 's not about the value of the maximum itself, but to a value from the domain of definition. This value is not well defined, if the function takes a maximum at a plurality of locations.

Example

Since the function has its maximum value 25, which is assumed at the position.

Alternative definitions

To eliminate the problem of well- definedness, then you can simply declare as set-valued function:

Analogously to

Defined.

Example

• Analysis