Toolkit 29

Integer and Fractional Parts

[x]: Integer part{x}: Fractional part[x]:\text{ Integer part}\qquad\{x\}:\text{ Fractional part}
We can write x as:\text{We can write }x\text{ as:}
x=k+r,kZ,  rR,  0r<1x=k+r,\qquad k\in\mathbb{Z},\;r\in\mathbb{R},\;0\le r<1