I would like to hear about other instances of the so-called 'increments' approach, first used by Roth to prove that a subset of $\mathbb{N}$ of positive upper density contained infinitely many arithmetic progressions of length 3. The original argument of Roth used a 'density increment' argument, ...
A week or so ago, I was saddened to read Jim Stasheff's post on the AlgTop mailing list, announcing the passing of Colin Day, after a long bout with cancer.
I was thinking of reading Colin Day's PhD thesis in his memory, and trying to understand it (the title certainly sounds interesting); but I...
Martin Gardner kept voluminous correspondence with amateur and professional mathematicians worldwide throughout his career. His files are a treasure trove of information about all areas of recreational mathematics. Does anybody here know whether any portion of those files will be made available...
First of all, apologies for the really non-standard question/announcement. I know this is not what MO was intended for, but in this situation it is the easiest way to reach (perhaps) the right person.
On my way back to London from some workshop in Ohio, I got stuck in NYC because of that infamou...
For $r > 0$, let $L(r) = \# \{ (x,y) \in \mathbb{Z}^2 \ | \ x^2 + y^2 \leq r^2\}$ be the number of lattice points lying on or inside the standard circle of radius $r$. It is easy to see that $L(r) \sim \pi r^2$ as $r \rightarrow \infty$. The Gauss circle problem is to give the best possible err...
Did Conway pay the wager for either of the proofs to the The Angel Problem?
I'd check in on this every now and again when it was an unsolved problem and would like to know how the story ends. Anyone know more details?
But I wonder why all these questions contain tag-removed? Shouldn't it be removed - as the name suggests?
From the tag-info: This tag is to be used only when re-tagging highly(!) off-topic questions where none of the actual tags would make sense; all actual tags the questioner has used are removed and something is needed to have some tag, which is enforced by the software, so this tag is used.
So if I understand the above correctly, it should be used only in the case when there are no other tags on this question.
But maybe this sentence from tag-info could explain: However note that this tag is also used in the process of moderators deleting tags.
I do not know much about this process of moderators deleting tags. Is it that you simply make some tag synonym of tag-removed when the tag should be deleted?
@MartinSleziak The tag info describes the only use case for regular users. It's used for cleaning up tags without bumping by moderators. When a question with that tag pops up on the front page, remove it.
Did Conway pay the wager for either of the proofs to the The Angel Problem?
I'd check in on this every now and again when it was an unsolved problem and would like to know how the story ends. Anyone know more details?
