Comments on: Next Polymath Project(s): What, When, Where?

By: barcelonapt3

barcelonapt3 — Sun, 14 Apr 2013 02:24:11 +0000

Sveitsiss? 12:00 paikallista aikaa, UEFA Champions League ja Europa League v?lieriin tasapeliin UEFA p??majassa Nyonissa Sveitsiss? seremoniassa. Kaksi La Liga ja kaksi Bundesliigan joukkueet joutua sis?llissotaan. Barcelona pumpataan Bayern, Real Madrid Zaiyu lohkovaiheessa kilpailijat Dortmund. Mestarien liigan v?lieriin erityisi? ??nestyksell? tulokset Pelipaidat Suomi ovat seuraavat (lueteltu entinen ensimm?inen osuma koti): Bayern Munchen vs Barcelona Dortmund vs Real Madrid UEFAn p??sihteeri Jos Tarantino FC barcelona pelipaidat puheenjohtajana lippu??nestys, ura pahoillani Ruud van Nistelrooy j?i Mestarien liigan pokaalin vieraana.V?lier?ss? piirt?? on kauden alkua lis?t? linkin.Lippu??nestys ottaa sattumanvaraisesti, ei kylvet??n, ei v?ltt?? saman liigan joukkue. La Liga (Barcelona ja Real Madrid) ja Bundesliigan (Bayern ja Dortmund) paloitella v?lieriss?. Real Madrid enn?tys 24 osaksi Top 4 voittava numero on juuri summa kolme muuta joukkuetta voittaa numero. Bundesliigan ensimm?ist? kertaa kaksi joukkuetta Jalkapallo Pelipaidat sai nelj? vahvaa kotona viime kaudella Bayern menetti mestaruuden eliminoidaan lohkovaiheessa Valencia. Dortmund on vain ly?m?t?n t?ll? kaudella finalistit v?lieriin ensimm?ist? kertaa 15 vuoteen, oli jo tavannut kaksi kertaa La Liga joukkue lohkovaiheessa voittaa Real Madrid voitti etunimi, 1/4 finaalissa trilleri pois Malaga. V?lieriin kaksi kierrosta huhtikuun 23/24 ja 30. huhtikuuta / 1. toukokuuta j?rjestet??n lopullinen Keski-Euroopan aikaa klo 20:45 25. toukokuuta Wembley Stadium Lontoossa.

By: vznvzn

vznvzn — Sun, 31 Mar 2013 16:57:19 +0000

some new ideas on P vs NP. am recently thinking it can be reduced to a particular counting problem that has a basic structure similar to razborov approximation proof(s). would like to engage in dialogue with experts in monotone circuit theory or extremal combinatorics. & also think that stackexchange chat would be an interesting new venue that hasnt been tried or fully exercised yet. anyone interested plz reply on my blog.

By: porton

porton — Sat, 23 Mar 2013 13:26:32 +0000

I received permission from PlanetMath staff to post there incomplete research proofs (marked as “Research” major section). I posted there some preliminary materials related with my research: http://planetmath.org/backgroundofseveralopenproblemsistumbledupon – the most important of these is this conjecture: http://planetmath.org/crosscompositionproductofanindexedfamilyoffuncoidsisapointfreefuncoid
Please participate in my research together with me.
I also suggest you to post more research topics at PlanetMath.

I’ve abandoned my project http://researchtrends.wikia.com because we can do it on PlanetMath instead.

Please post more your research projects on PlanetMath.

By: porton

porton — Tue, 19 Mar 2013 11:11:40 +0000

Consider also this (informal) problem: We should define “math” in such a way that arbitrary inventions of men (for example, chess game) are not to be considered math, but math is only such things which are related by numerous links with the rest of mathematics. Could we define a numeric measure characterizing how much a specific setting is math? For example, this measure would be low for chess but high for group theory. No idea how to formulate this exactly, but get my rough idea.

By: mixedmath

mixedmath — Tue, 19 Mar 2013 10:46:17 +0000

I always manage to forget to do the things wordpress requires for math to be displayed properly, even if I remembered halfway through.

By: mixedmath

mixedmath — Tue, 19 Mar 2013 10:45:14 +0000

There are a few problems that seem like they might admit an elementary, mathcrowd-sourceable solution, or that builds off of other work in a relatively approachable way. Or perhaps they’re easily stated but impossible. It’s hard to say. Nonetheless, I’d like to share them.

In particular, I think the Erdos-Strauss Conjecture, which essentially says that the integer can be written as a sum of three Egyptian fractions; Martin Gardner’s question about whether or not there exists a Magic Square, each of whose entries is a square; and a conjectured extension of the paper [S. A. Burr, "On Moduli for Which the Fibonacci Sequence Contains a Complete System of Residue", Fibonacci Quarterly, December 1971, pp. 497-504] stating that the sequence , where $L(n)$ are the Lucas numbers, contains a complete residue system modulo $m$ if and only if $m$ is one of the following: $2, 4, 6, 7, 14, 3^k, k \geq 1$.

Do any of these seem interesting and/or approachable and/or appropriate? I understand that I have a certain love for number theory – I accept that.

By: Jon Awbrey

Jon Awbrey — Thu, 28 Feb 2013 21:16:07 +0000

Well, as long as no one else has anything to suggest right at the moment, I might as well indulge in some Meta-Poly-Mathic observations that have occurred to me in this connection.

I have noticed over the years — especially in light of how my own inclinations have shifted — a wide distribution of perspectives toward problem-solving, ranging from those that keep a tight focus on particular problems to those that aim to develop the resource environments, social and technological, in which we try to solve more general classes of problems.

Speaking just from my current point of view, I think it might further the long-terms aims of the project to address the environmental questions a little more directly.

By: Whither Polymath? | Gowers's Weblog

Whither Polymath? | Gowers's Weblog — Thu, 28 Feb 2013 13:19:09 +0000

[...] at the Polymath blog, Gil Kalai recently proposed a discussion about possible future Polymath projects. This post is partly to direct you to that discussion in [...]

By: Gil Kalai

Gil Kalai — Tue, 19 Feb 2013 12:57:20 +0000

Thank you, Porton, for your suggestion.

By: porton

porton — Mon, 18 Feb 2013 18:49:02 +0000

Thank you for your proposal to discuss open research projects of different flavors.

I started one such project under working name “Math Research Trends Wiki”: http://researchtrends.wikia.com/ with the motto “research in the middle”.

This my project is now in a rudimentary stage of development but is promising to grow in a big useful scientific endeavor.

The biggest problem with this project right now is that the site which hosts it (Wikia.com) has a trouble with displaying math formulas because it uses an old MediaWiki version, see for example red error messages on this page: http://researchtrends.wikia.com/wiki/Multifuncoid_has_atomic_arguments

I don’t want to host this project myself (without Wikia.com) for two reasons: 1. it would be expensive to pay for a Web hosting for me a poor person; 2. Wikia seems to have better default settings for a site and to reach the same degree of usability I would need to do much configuration and installation myself, what I don’t want to do.

Nevertheless, if somebody may give away his hosting account for this project, I may consider to move to an other hosting.

As I’ve already said this project is rudimentary and it may be not yet clear for others (excluding me, or even including me) what it should grow to.

I am going to post there an example network of related problems (about a specific class of problems in my current research of objects which I call “multifuncoids” and “staroids”) as soon as math formulas will work. Note that I’ve asked Wikia to upgrade their software or at least to say when they are going to upgrade but received no response.