# floor function question

• May 27th 2013, 02:38 AM
Yuuki
floor function question
I have never dealt with floor functions before, and I had trouble understanding the proof in my textbook.
Here's the portion of the proof:

http://latex.codecogs.com/gif.latex?...ht%20%5Crfloor

Also, is there some online material where I could study about floor/ceiling functions?
• May 27th 2013, 05:09 AM
chiro
Re: floor function question
Hey Yuuki.

Are you supposed to have an L inside there somewhere (instead of a v)?
• May 27th 2013, 07:14 AM
Plato
Re: floor function question
Quote:

Originally Posted by Yuuki
I have never dealt with floor functions before, and I had trouble understanding the proof in my textbook.
Here's the portion of the proof:

http://latex.codecogs.com/gif.latex?...ht%20%5Crfloor

Also, is there some online material where I could study about floor/ceiling functions?

Here is a good summery of the properties of the floor function.

But there is a typo in the OP, a missing L.
• May 27th 2013, 02:05 PM
Yuuki
Re: floor function question
Thanks for the replies.
As for the typo, I don't know how it's supposed to be, because that was what it said in the textbook.
Would it make sense if you replaced the v under summation with L?
• Jun 1st 2013, 05:36 PM
johng
Re: floor function question
Hi,
I guessed what the supposed inequality is, but this guess is a false inequality. I've attached some remarks on the floor function and a similar inequality that is true. I think it's worth your while to read at least the easy facts about floor.

Attachment 28498

Attachment 28500
• Jun 2nd 2013, 12:29 AM
Yuuki
Re: floor function question
Wow, thank you very much for the two informative sheets!
It helped that the facts came with proof.
I think I was able to become a bit more familiar with the floor function and I managed to follow through your last proof.