Definition
Maximum
A maximum is the greatest value that belongs to the stated set or is allowed by the conditions.
Continue from this idea into connected AXIO math.
Boundary check: 8 is a maximum because it is both greatest and included.
What it means
First name the values or choices you are comparing. The maximum is the greatest one that is really in that set or possible under the rules. A number can sit above every allowed value without being the maximum if it cannot be reached.
Remember it
Maximum means greatest and actually included or attainable.
Example
A lift allows loads from 0 kg up to and including 630 kg. Because 630 kg is allowed and no larger load is allowed, 630 kg is the maximum permitted load.
Watch for
An upper bound is a ceiling above or equal to all values. It is a maximum only when that ceiling is attained or belongs to the set.
Common mix-up
Maximum is the greatest value; minimum is the least value.
Exact meaning
A maximum is an attained value in the stated set or feasible situation that is greater than or equal to every other allowed value. In a data set, it is the greatest observed value; in a constrained problem, it is the greatest value that can actually occur.