Some properties of floor function

05012010, 03:01 PM
(This post was last modified: 05022010 04:50 PM by elim.)
Post: #1




Some properties of floor function
(1) \([x]+[y]\le [x+y] \le [x]+[y]+1\) (2) \(\left [ \left [ x\right ]/m\right]=\left[x/m\right]\) where \(x \in \mathbb{R},\quad m\in \mathbb{N}^+\) this also implies that \(\left[\left[ n/a\right]/b\right] = \left[ n/(ab)\right]\) 

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