Re: floor function question

Hey Yuuki.

Are you supposed to have an L inside there somewhere (instead of a v)?

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*.

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?

2 Attachment(s)

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

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.