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1:37 PM
1
Q: Proof of a summation

Cartesian BreadHere is the problem I am stuck with: Is it true that for every positive integer $n > 1$, $$\sum\limits_{k=1}^n \cos \left(\frac {2 \pi k}{n} \right) =0= \sum \limits_{k=1}^n \sin \left(\frac {2 \pi k}{n} \right)$$ I'm imagining the unit circle and adding up the value of both trig functions separ...

So... an old question got edited so that the accepted answer is now invalid... and the question has a bounty on it so...
 
 
2 hours later…
3:48 PM
What's up duck?
:-)
 
@user314159 trying to think up how to solve legendres conjecture
 
Have fun.
I gave up on those after Collatz.
 
im trying to figure out the maximum number of integers divisible by any number in [1,n] within the range [n^2,(n+1)^2]
basically an integer b in [n^2,(n+1)^2] is a composite if and only if an integer 1 < a < n divides b
combinatrics should reveal the answer
the trick is how to avoid counting duplicates
 
@user314159 @TheGreatDuck, Do you have a chatroom to chit-chat in? Consider moving to the Constructive Feedback chat... or any other chat room that might suffice. I don't see how the last four comments (two apiece) belong in the Mod's Office: "For informal chat with the site moderators about moderators, spam, troublesome users, and other issues you need (moderator) input on."
 
@amWhy I was just sitting here reading old comments. @user314159 was the one who started trying to chat with me. I don't even know who he is.
 
 
6 hours later…
10:30 PM
@amWhy I am not sure why the rollback. Probably because it is not clear whether the title should contain the original version or the new version?
In either case, even if you think the less descriptive title is for some reason better, seems a reasonable tag to me.
@SimplyBeautifulArt Not only the edit you mention renders the answers invalid, it also makes the question (or at least half of it) a duplicate.
 
@MartinSleziak You're correct about the tag.
 
And the reason for changing back the title was that it's unclear which version should be in the title (original one or the new one)?
BTW I am a bit surprised that it is possible to click on close, since bounties should prevent questions from being closed: How to prevent your question being closed? Just post a bounty on it. Probably if I continued and tried to close the question, I would get error message before actually casting the vote.
 
@MartinSleziak Yes; but I'm entirely open to to have my rollback reversed; I admit I was a little perturbed by the bounty placed on an edit by the user on former question, essentially changing the question, which had been both answered and accepted. It could very rightfully be closed as a duplicate, but due to the bounty, it is protected from closure, no matter how inappropriate the edit.
 
@MartinSleziak Yes, that is what happens if you try and close it
 
@MartinSleziak Yes, I was able to click on close, click on duplicate, enter the URL of the proposed duplicate, all to be negated upon the final "click: close". I,e, message appears about the protection given a question with a bounty.
 
10:42 PM
Ok, thanks for the reply amWhy (and Simply too). I have added (trigonometry) tag again. We will see what other users think about this - perhaps somebody else will notice this discussion.
 

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