- Thread starter
- #1
sweatingbear
Member
- May 3, 2013
- 91
Let [x] be the floor function i.e. it produces the integral part of x. So for example if x = 1.5 then [x] = 1. I recently saw the claim
\(\displaystyle [x] \geq x - 1\)
The strict part of the inequality makes perfect sense, but when does equality occur? Does it even occur at all? I have not been able to find an example. Maybe the claim is false?
\(\displaystyle [x] \geq x - 1\)
The strict part of the inequality makes perfect sense, but when does equality occur? Does it even occur at all? I have not been able to find an example. Maybe the claim is false?