14 posts tagged with math *and* theory. (View popular tags)

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Computers are providing solutions to math problems that we can't check - "A computer has solved the longstanding Erdős discrepancy problem! Trouble is, we have no idea what it's talking about — because the solution, which is as long as all of Wikipedia's pages combined, is far too voluminous for us puny humans to confirm." (via; previously ;)

posted by kliuless on Apr 12, 2014 - 24 comments

posted by kliuless on Apr 12, 2014 - 24 comments

Network Theory Overview - "The idea: nature and the world of human technology are full of networks! People like to draw diagrams of networks. Mathematical physicists know that in principle these diagrams can be understood using category theory. But why should physicists have all the fun? This is the century of *understanding living systems and adapting to life on a finite planet*. Math isn't the main thing we need, but it's got to be part of the solution... so one thing we should do is develop a unified and powerful theory of networks." (via ;)

posted by kliuless on Mar 2, 2014 - 17 comments

posted by kliuless on Mar 2, 2014 - 17 comments

Open warfare erupts in the world of mathematical biology, as Lior Pachter of UC-Berkeley writes three blog posts attacking two papers in Nature Bioscience, accusing one of them of being "dishonest and fraudulent": The Network Nonsense of Albert-Laszlo Barabasi, The Network Nonsense of Manolo Kellis, and Why I Read the Network Nonsense Papers. Kellis (MIT) and his co-authors respond (.pdf.)

posted by escabeche on Feb 12, 2014 - 53 comments

posted by escabeche on Feb 12, 2014 - 53 comments

Closing in on the twin prime conjecture (Quanta) - "Just months after Zhang announced his result, Maynard has presented an independent proof that pushes the gap down to 600. A new Polymath project is in the planning stages, to try to combine the collaboration's techniques with Maynard's approach to push this bound even lower." [more inside]

posted by kliuless on Dec 1, 2013 - 16 comments

posted by kliuless on Dec 1, 2013 - 16 comments

Revelations in the field of quantum physics have resulted in the discovery of the Amplituhedron, a jewel-like higher dimensional object whose volume elegantly predicts fundamental physical processes that took the brilliant Dr. Richard Feynman hundreds of pages of abstruse mathematics to describe.
The theoretical manifold not only enables simple pen-and-paper calculation of physics that would normally require supercomputers to work out, but also challenges basic assumptions about the nature of reality -- forgoing the core concepts of locality and unitarity and suggesting that space and time are merely emergent properties of a timeless, infinitely-sided "master amplituhedron," whose geometry represents the sum total of all physical interactions.
**More:** The 152-page source paper on arXiv [PDF] - Lead author Nima Arkani-Hamed's hour-long lecture at SUSY 2013 - Scans of Arkani-Hamed's handwritten lecture notes - A far more detailed lecture series "Scattering Without Space Time": one, two, three - Arkani-Hamed previously on MeFi - A hot-off-the-presses Wikipedia page (watch this space)

posted by Rhaomi on Sep 18, 2013 - 128 comments

posted by Rhaomi on Sep 18, 2013 - 128 comments

Using computer systems for doing mathematical proofs - "With the proliferation of computer-assisted proofs that are all but impossible to check by hand, Hales thinks computers must become the judge." [more inside]

posted by kliuless on Mar 16, 2013 - 25 comments

posted by kliuless on Mar 16, 2013 - 25 comments

"The models we discuss belong to the class of two-variable systems with one delay for which appropriate delay stabilizes an unstable steady state. We formulate a theorem and prove that stabilization takes place in our case. We conclude that considerable (meaning large enough, but not too large) values of time delay involved in the model can stabilize love affairs dynamics." [more inside]

posted by bluefly on Jan 16, 2013 - 12 comments

posted by bluefly on Jan 16, 2013 - 12 comments

Bret Victor on WorryDream The power to understand and predict the quantities of the world should not be restricted to those with a freakish knack for manipulating abstract symbols.
When most people speak of Math, what they have in mind is more its mechanism than its essence. This "Math" consists of assigning meaning to a set of symbols, blindly shuffling around these symbols according to arcane rules, and then interpreting a meaning from the shuffled result. The process is not unlike casting lots.

posted by naight on Jul 24, 2011 - 19 comments

posted by naight on Jul 24, 2011 - 19 comments

New math theories reveal the nature of numbers [1,2] - "We prove that partition numbers are 'fractal' for every prime. These numbers, in a way we make precise, are self-similar in a shocking way. Our 'zooming' procedure resolves several open conjectures, and it will change how mathematicians study partitions." (/.|via) [more inside]

posted by kliuless on Jan 22, 2011 - 45 comments

posted by kliuless on Jan 22, 2011 - 45 comments

posted by Rhaomi on Aug 22, 2010 - 130 comments

The Status of the P Versus NP Problem *It's one of the fundamental mathematical problems of our time, and its importance grows with the rise of powerful computers.* (via mr)

posted by kliuless on Aug 27, 2009 - 116 comments

posted by kliuless on Aug 27, 2009 - 116 comments

The Free Will Theorem - "If there exist experimenters with (some) free will, then elementary particles also have (some) free will." (previously)

posted by kliuless on Jun 28, 2009 - 229 comments

posted by kliuless on Jun 28, 2009 - 229 comments

Ever wondered if and where a specific set of numbers could be found in pi? Maybe you'd like to know where your birthday is? Or maybe just something funny. [prev. here, here] [more inside]

posted by TimeTravelSpeed on Dec 4, 2007 - 68 comments

posted by TimeTravelSpeed on Dec 4, 2007 - 68 comments

kevin bacon as math theory: properties of the kevin bacon absorbing set

posted by riley370 on Oct 17, 2000 - 2 comments

posted by riley370 on Oct 17, 2000 - 2 comments

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