Skip to main content

Home/ Advanced Concepts Team/ Group items tagged mathematics

Rss Feed Group items tagged

5More

Should business be allowed to patent mathematics? - opinion - 18 March 2013 - New Scien... - 1 views

  •  
    ridiculous next frontier for patenting ... mathematics!!!!!
  • ...2 more comments...
  •  
    Creating jobs in the 21st century. Banks and insurance companies are firing mathematicians because they follow logic's rules when calculating product costs and rates. However, this work is being shifted since years to the marketing departments. Didn't you know that marketing experts are able to perform complex calculations as well, even improving the equations by adding market developments? Anyway, thousands of mathematicians need a job now, why not in the patent offices?
  •  
    Who finds the irony can keep it.
  •  
    should I take these as an indication of news from the bankers concerning your business case?
  •  
    this would trigger innovation, and kill mathematics! The world is crazy... imagine a mathematician that will have to pay to use a demonstration for his own demonstration... haha. And the interviewed guy in the article say that this would benefit mathematicians !!! what a joke ! And all the schools that will have to pay billions to Euclid's heirs ! This would kill physics too, and all domains that use mathematics as a tool !
2More

Attack on the pentagon results in discovery of new mathematical tile - 2 views

  •  
    In the world of mathematical tiling, news doesn't come bigger than this. In the world of bathroom tiling - I bet they're interested too. If you can cover a flat surface using only identical copies of the same shape leaving neither gaps nor overlaps, then that shape is said to tile the plane. Also only mathematicians can put the words "Pentagon", "attack", and "plane" in the same sentence...
  •  
    I especially love this part of the story: "The hunt to find and classify the pentagons that can tile the plane has been a century-long mathematical quest, begun by the German mathematician Karl Reinhardt, who in 1918 discovered five types of pentagon that do tile the plane. (To clarify, he did not find five single pentagons. He discovered five classes of pentagon that can each be described by an equation. For the curious, the equations are here. And for further clarification, we are talking about convex pentagons, which are most people's understanding of a pentagon in that every corner sticks out.) Most people assumed Reinhardt had the complete list until half a century later in 1968 when R. B. Kershner found three more. Richard James brought the number of types of pentagonal tile up to nine in 1975. That same year an unlikely mathematical pioneer entered the fray: Marjorie Rice, a San Diego housewife in her 50s, who had read about James' discovery in Scientific American. An amateur mathematician, Rice developed her own notation and method and over the next few years discovered another four types of pentagon that tile the plane. In 1985 Rolf Stein found a fourteenth. Way to go!"
1More

Physicists twist water into knots : Nature News & Comment - 3 views

  •  
    More than a century after the idea was first floated, physicists have finally figured out how to tie water in knots in the laboratory. The gnarly feat, described today in Nature Physics1, paves the way for scientists to experimentally study twists and turns in a range of phenomena - ionized gases like that of the Sun's outer atmosphere, superconductive materials, liquid crystals and quantum fields that describe elementary particles.

    Lord Kelvin proposed that atoms were knotted "vortex rings" - which are essentially like tornado bent into closed loops and knotted around themselves, as Daniel Lathrop and Barbara Brawn-Cinani write in an accompanying commentary. In Kelvin's vision, the fluid was the theoretical 'aether' then thought to pervade all of space. Each type of atom would be represented by a different knot.

    Related stories
    Solar magnetism twists braids of superheated gas
    Electron microscopy gets twisted
    Topological insulators: Star material
    More related stories
    Kelvin's interpretation of the periodic table never went anywhere, but his ideas led to the blossoming of the mathematical theory of knots, part of the field of topology. Meanwhile, scientists also have come to realize that knots have a key role in a host of physical processes.
1More

The mathematics of coffee extraction: Searching for the ideal brew - 0 views

  •  
    Maybe of interest for the ever lasting discussion around the coffee machines of our meeting room... :) paper at http://epubs.siam.org/doi/pdf/10.1137/15M1036658
17More

Massively collaborative mathematics : Article : Nature - 28 views

  •  
    peer-to-peer theorem-proving
  • ...14 more comments...
  •  
    Or: mathematicians catch up with open-source software developers :)
  •  
    "Similar open-source techniques could be applied in fields such as [...] computer science, where the raw materials are informational and can be freely shared online." ... or we could reach the point, unthinkable only few years ago, of being able to exchange text messages in almost real time! OMG, think of the possibilities! Seriously, does the author even browse the internet?
  •  
    I do not agree with you F., you are citing out of context! Sharing messages does not make a collaboration, nor does a forum, .... You need a set of rules and a common objective. This is clearly observable in "some team", where these rules are lacking, making team work inexistent. The additional difficulties here are that it involves people that are almost strangers to each other, and the immateriality of the project. The support they are using (web, wiki) is only secondary. What they achieved is remarkable, disregarding the subject!
  •  
    I think we will just have to agree to disagree then :) Open source developers have been organizing themselves with emails since the early '90s, and most projects (e.g., the Linux kernel) still do not use anything else today. The Linux kernel mailing list gets around 400 messages per day, and they are managing just fine to scale as the number of contributors increases. I agree that what they achieved is remarkable, but it is more for "what" they achieved than "how". What they did does not remotely qualify as "massively" collaborative: again, many open source projects are managed collaboratively by thousands of people, and many of them are in the multi-million lines of code range. My personal opinion of why in the scientific world these open models are having so many difficulties is that the scientific community today is (globally, of course there are many exceptions) a closed, mostly conservative circle of people who are scared of changes. There is also the fact that the barrier of entry in a scientific community is very high, but I think that this should merely scale down the number of people involved and not change the community "qualitatively". I do not think that many research activities are so much more difficult than, e.g., writing an O(1) scheduler for an Operating System or writing a new balancing tree algorithm for efficiently storing files on a filesystem. Then there is the whole issue of scientific publishing, which, in its current form, is nothing more than a racket. No wonder traditional journals are scared to death by these open-science movements.
  •  
    here we go ... nice controversy! but maybe too many things mixed up together - open science journals vs traditional journals, conservatism of science community wrt programmers (to me one of the reasons for this might be the average age of both groups, which is probably more than 10 years apart ...) and then using emailing wrt other collaboration tools .... .... will have to look at the paper now more carefully ... (I am surprised to see no comment from José or Marek here :-)
  •  
    My point about your initial comment is that it is simplistic to infer that emails imply collaborative work. You actually use the word "organize", what does it mean indeed. In the case of Linux, what makes the project work is the rules they set and the management style (hierachy, meritocracy, review). Mailing is just a coordination mean. In collaborations and team work, it is about rules, not only about the technology you use to potentially collaborate. Otherwise, all projects would be successful, and we would noy learn management at school! They did not write they managed the colloboration exclusively because of wikipedia and emails (or other 2.0 technology)! You are missing the part that makes it successful and remarkable as a project. On his blog the guy put a list of 12 rules for this project. None are related to emails, wikipedia, forums ... because that would be lame and your comment would make sense. Following your argumentation, the tools would be sufficient for collaboration. In the ACT, we have plenty of tools, but no team work. QED
  •  
    the question on the ACT team work is one that is coming back continuously and it always so far has boiled down to the question of how much there need and should be a team project to which everybody inthe team contributes in his / her way or how much we should leave smaller, flexible teams within the team form and progress, more following a bottom-up initiative than imposing one from top-down. At this very moment, there are at least 4 to 5 teams with their own tools and mechanisms which are active and operating within the team. - but hey, if there is a real will for one larger project of the team to which all or most members want to contribute, lets go for it .... but in my view, it should be on a convince rather than oblige basis ...
  •  
    It is, though, indicative that some of the team member do not see all the collaboration and team work happening around them. We always leave the small and agile sub-teams to form and organize themselves spontaneously, but clearly this method leaves out some people (be it for their own personal attitude or be it for pure chance) For those cases which we could think to provide the possibility to participate in an alternative, more structured, team work where we actually manage the hierachy, meritocracy and perform the project review (to use Joris words).
  •  
    I am, and was, involved in "collaboration" but I can say from experience that we are mostly a sum of individuals. In the end, it is always one or two individuals doing the job, and other waiting. Sometimes even, some people don't do what they are supposed to do, so nothing happens ... this could not be defined as team work. Don't get me wrong, this is the dynamic of the team and I am OK with it ... in the end it is less work for me :) team = 3 members or more. I am personally not looking for a 15 member team work, and it is not what I meant. Anyway, this is not exactly the subject of the paper.
  •  
    My opinion about this is that a research team, like the ACT, is a group of _people_ and not only brains. What I mean is that people have feelings, hate, anger, envy, sympathy, love, etc about the others. Unfortunately(?), this could lead to situations, where, in theory, a group of brains could work together, but not the same group of people. As far as I am concerned, this happened many times during my ACT period. And this is happening now with me in Delft, where I have the chance to be in an even more international group than the ACT. I do efficient collaborations with those people who are "close" to me not only in scientific interest, but also in some private sense. And I have people around me who have interesting topics and they might need my help and knowledge, but somehow, it just does not work. Simply lack of sympathy. You know what I mean, don't you? About the article: there is nothing new, indeed. However, why it worked: only brains and not the people worked together on a very specific problem. Plus maybe they were motivated by the idea of e-collaboration. No revolution.
  •  
    Joris, maybe I made myself not clear enough, but my point was only tangentially related to the tools. Indeed, it is the original article mention of "development of new online tools" which prompted my reply about emails. Let me try to say it more clearly: my point is that what they accomplished is nothing new methodologically (i.e., online collaboration of a loosely knit group of people), it is something that has been done countless times before. Do you think that now that it is mathematicians who are doing it makes it somehow special or different? Personally, I don't. You should come over to some mailing lists of mathematical open-source software (e.g., SAGE, Pari, ...), there's plenty of online collaborative research going on there :) I also disagree that, as you say, "in the case of Linux, what makes the project work is the rules they set and the management style (hierachy, meritocracy, review)". First of all I think the main engine of any collaboration like this is the objective, i.e., wanting to get something done. Rules emerge from self-organization later on, and they may be completely different from project to project, ranging from almost anarchy to BDFL (benevolent dictator for life) style. Given this kind of variety that can be observed in open-source projects today, I am very skeptical that any kind of management rule can be said to be universal (and I am pretty sure that the overwhelming majority of project organizers never went to any "management school"). Then there is the social aspect that Tamas mentions above. From my personal experience, communities that put technical merit above everything else tend to remain very small and generally become irrelevant. The ability to work and collaborate with others is the main asset the a participant of a community can bring. I've seen many times on the Linux kernel mailing list contributions deemed "technically superior" being disregarded and not considered for inclusion in the kernel because it was clear that
  •  
    hey, just catched up the discussion. For me what is very new is mainly the framework where this collaborative (open) work is applied. I haven't seen this kind of working openly in any other field of academic research (except for the Boinc type project which are very different, because relying on non specialists for the work to be done). This raise several problems, and mainly the one of the credit, which has not really been solved as I read in the wiki (is an article is written, who writes it, what are the names on the paper). They chose to refer to the project, and not to the individual researchers, as a temporary solution... It is not so surprising for me that this type of work has been first done in the domain of mathematics. Perhaps I have an ideal view of this community but it seems that the result obtained is more important than who obtained it... In many areas of research this is not the case, and one reason is how the research is financed. To obtain money you need to have (scientific) credit, and to have credit you need to have papers with your name on it... so this model of research does not fit in my opinion with the way research is governed. Anyway we had a discussion on the Ariadnet on how to use it, and one idea was to do this kind of collaborative research; idea that was quickly abandoned...
  •  
    I don't really see much the problem with giving credit. It is not the first time a group of researchers collectively take credit for a result under a group umbrella, e.g., see Nicolas Bourbaki: http://en.wikipedia.org/wiki/Bourbaki Again, if the research process is completely transparent and publicly accessible there's no way to fake contributions or to give undue credit, and one could cite without problems a group paper in his/her CV, research grant application, etc.
  •  
    Well my point was more that it could be a problem with how the actual system works. Let say you want a grant or a position, then the jury will count the number of papers with you as a first author, and the other papers (at least in France)... and look at the impact factor of these journals. Then you would have to set up a rule for classifying the authors (endless and pointless discussions), and give an impact factor to the group...?
  •  
    it seems that i should visit you guys at estec... :-)
  •  
    urgently!! btw: we will have the ACT christmas dinner on the 9th in the evening ... are you coming?
4More

In the News : Quid, Inc. - 3 views

  •  
    Anybody knows them? What mathematic tools are behind their products?
  • ...1 more comment...
  •  
    I'm pretty sure they use additions and subtractions. Maybe even some funky multiplications :)
  •  
    Wouldn't have guessed
  •  
    Francesco, I missed your comments :) :)
1More

Proof of the Riemann Hypothesis utilizing the theory of Alternative Facts - 0 views

  •  
    An excellent science coffee topic! This is a true breakthrough in pure mathematics with plentiful applications in the lesser sciences (such as theoretical physics). People tell me quantum gravity is already practically solved by this. Conway's powerful theory of Alternative Facts can render many difficult problems tractable. Here we demonstrate the power of AF to prove the Riemann Hypothesis, one of the most important unsolved problems in mathematics. We further suggest applications of AF to other challenging unsolved problems such as the zero-equals-one conjecture (which is also true) and the side-counting problem of the circle.
1More

[1111.3328] The quantum state cannot be interpreted statistically - 1 views

  •  
    Quantum states are the key mathematical objects in quantum theory. It is therefore surprising that physicists have been unable to agree on what a quantum state represents. There are at least two opposing schools of thought, each almost as old as quantum theory itself. One is that a pure state is a physical property of system, much like position and momentum in classical mechanics. Another is that even a pure state has only a statistical significance, akin to a probability distribution in statistical mechanics. Here we show that, given only very mild assumptions, the statistical interpretation of the quantum state is inconsistent with the predictions of quantum theory....
1More

Computer Model Replays Europe's Cultural History  - Technology Review - 2 views

  •  
    A simple mathematical model of the way cultures spread reproduces some aspects of European history, say complexity scientists
1More

3,000 Years of Human History, Described in One Set of Mathematical Equations - 2 views

  •  
    Reminds me of psychohistory in Asimov's Foundation trilogy
1More

Do dolphins use nonlinear mathematics? - 1 views

  •  
    For fun. "Dolphins are only the second most intelligent form of life on Earth"
1More

Beauty of Mathematics - 3 views

  •  
    "Mathematics, rightly viewed, possesses not only truth, but supreme beauty - a beauty cold and austere, without the gorgeous trappings of painting or music." -Betrand Russell
1More

An intellectually challenging game of loop - 3 views

  •  
    In case you are looking for inspiration for a new piece of ACT's meeting room furniture... "This is almost an example, not of mathematics but how mathematics changes when it becomes physics"
1More

International Congress of Mathematicians 2010, Hyderabad » Prize Winners 2010 - 0 views

  •  
    This years winners of the fields medal. Some about mathematical physics but NOT string theory. Hey, I didn't even know that this still exists... :-)
3More

Philosophers' Imprint - 5 views

  •  
    An interesting (free) journal on philosophy, with even some article with mathematics and physics !
  •  
    Reading the titles somehow reminds me of the most important webpage of the ACT: the Advanced Concepts Generator :-)
  •  
    have you seen the 2 articles on canonical GR ...!
2More

Bacterial computers can crack mathematical problems | Science | guardian.co.uk - 0 views

  • Biologists have created a living computer from E. coli bacteria that can solve complex mathematical problems
  •  
    nice article ... though the colouring used seems a lit awkward to me ...
1More

Slashdot | Towards a Wiki For Formally Verified Mathematics - 0 views

  •  
    for real geeks, but maybe something interesting in it...
1More

The Mathematics Genealogy Project - 0 views

  •  
    find your scientific ancestors !
1More

Why Sleep? | Physical Review Focus - 0 views

shared by ESA ACT on 24 Apr 09 - Cached
  •  
    A study in the January Physical Review E suggests that a sleep-wake cycle, allowing the brain to focus on one task at a time, may be the most efficient way to operate. The researcher shows mathematically that processing a continuously changing resource--s
1More

SAGE: Open Source Mathematics Software - 0 views

  •  
    Creating a viable free open source alternative to
1 - 20 of 79 Next › Last »
Showing 20 items per page