greatest integer function

noun
UK /ˈɡreɪtɪst ˈɪntɪdʒə ˈfʌŋkʃən/
US /ˈɡreɪtɪst ˈɪntɪdʒər ˈfʌŋkʃən/

The greatest integer function gives the biggest whole number that is not bigger than a number.

The greatest integer function of 3.7 is 3.


OTHER MEANINGS

2. A mathematical rule that maps each real number to the largest integer less than or equal to it.

The greatest integer function maps -2.3 to -3.

3. A function often written with special brackets that show the whole-number part of a value.

Using the greatest integer function, 5.9 becomes 5.

4. A step-like function whose graph looks like a staircase with flat steps.

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