least integer function

noun
UK /liːst ˈɪntɪdʒə ˈfʌŋkʃən/
US /liːst ˈɪntɪdʒər ˈfʌŋkʃən/

A math rule that gives the smallest whole number that is not bigger than a number.

The least integer function of 3.7 is 3.


OTHER MEANINGS

2. A function that maps each real number to the smallest integer greater than or equal to it.

The least integer function of -2.3 is -2.

3. In some textbooks, another name for the ceiling function, written as ⌈x⌉.

Using the least integer function, ⌈4.1⌉ equals 5.

4. A step function whose graph looks like a staircase rising to the right.

The graph of the least integer function jumps up at every whole number.