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My guess is the following: perhaps the teacher defined R earlier by

mRn if m-n is divisible by 3.


Or "m is related to n by R if the difference m-n is divisible by 3"
"Reflexivity" means...

I live in a sharehouse. I've been living there happily for a few months now. There are four in the house including me, and two of them smoke.

Until now that's been fine, since they only smoked...

Sorry about my nonsensical comment. I accidentally bumped the enter button on my keyboard and so my comment went up unfinished.

Anyway, I just wanted to say thanks for replying. I felt a bit...

Recently I went away for a three-week course in another city, and since I got back my perception of everything in my life seems different. Not in a bad way - just different - so I am curious to know...

The case of Andrew Wiles was a bit unusual. Any number theorist might be able to help you.

The thing to remember though is that in mathematics, creating ideas is really the easy part. The hard...

I think you have to trust someone.

Mathematics is a collaborative activity and in my experience (as a phd student with published mathematical papers) I have never encountered a corrupt...

Well, thanks. :) You've all cleared this up for me I think.
From now on I will just re-post to show thanks and let people know I saw their responses, without worrying that it's silly.

When you ask for advice on a forum, and then someone replies, is it customary to thank your respondent afterwards? Or is this considered an unnecessary waste of forum space?

The best way to interpret you data depends on what question you want to answer. Is it:

A: "How dispersed are the students' results"? (As in "Did most of the students do pretty much the same...

The 'real numbers" are probably what you are familiar with: they include all the whole numbers (including negatives) like 1 and 2 and -43, plus all fractions, and even the "irrational" numbers such...

I think that nowadays in all areas of life we are exposed to large quantities of information - so much that it can be hard to use it effectively. Advanced math can help us deal with this - by...

I really appreciate that so many people replied to my post.

Actually I did buy a new wallet but I haven't seen my friend yet because I have been away on holidays. I think I will end up telling...

Hello All,

I would like some advice on how not to hurt a friend's feelings about a gift she gave me.

She gave me a new purse for Christmas, which is not one I would ordinarily choose to use. ...