What does the function $f (x) = [x]$ mean? How is it different from least and greatest integer function ?
2026-04-13 14:02:52.1776088972
Meaning of function $f(x) = [x]$
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According to Wikipedia: Carl Friedrich Gauss introduced the square bracket notation $[x]$ for the floor function in his third proof of quadratic reciprocity (1808).
The floor function rounds any non-integer down to the nearest integer, e.g. $\lfloor 1.1 \rfloor = \lfloor 1.9 \rfloor = 1$.