MetaFilter posts tagged with Math
http://www.metafilter.com/tags/Math
Posts tagged with 'Math' at MetaFilter.Sat, 12 Apr 2014 08:55:27 -0800Sat, 12 Apr 2014 08:55:27 -0800en-ushttp://blogs.law.harvard.edu/tech/rss60A SAT Attack on the Erdos Discrepancy Conjecture
http://www.metafilter.com/138247/A%2DSAT%2DAttack%2Don%2Dthe%2DErdos%2DDiscrepancy%2DConjecture
<a href="http://io9.com/computers-are-providing-solutions-to-math-problems-that-1525261141">Computers are providing solutions to math problems that we can't check</a> - "A computer has solved the longstanding <a href="http://arxiv.org/abs/1402.2184">Erdős discrepancy</a> problem! Trouble is, we have no idea what it's talking about — because the solution, which is <a href="http://www.newscientist.com/article/dn25068-wikipediasize-maths-proof-too-big-for-humans-to-check.html">as long as all of Wikipedia</a>'s pages combined, is far too <a href="http://mathbabe.org/2013/07/30/the-stacks-project-gets-ever-awesomer-with-new-viz/">voluminous</a> for us <a href="http://oliviacaramello.com/Unification/Unification.htm">puny humans</a> to confirm." (<a href="http://marginalrevolution.com/marginalrevolution/2014/04/are-computer-coming-up-with-answers-we-cannot-understand.html">via</a>; <a href="http://www.metafilter.com/126041/Computerized-Math-Formal-Proofs-andamp-Alternative-Logic">previously</a> ;) tag:metafilter.com,2014:site.138247Sat, 12 Apr 2014 08:55:27 -0800kliulessExponential Binary Clock Countdown
http://www.metafilter.com/137978/Exponential%2DBinary%2DClock%2DCountdown
Based on the <a href="http://en.wikipedia.org/wiki/Wheat_and_chessboard_problem">Wheat and Chessboard problem</a>, the <a href="http://thechessboardclock.com">Chess Board Clock</a> is "a binary clock counting down 2 to the 63rd power in hundredths of a second". The first few squares go by super fast (a non-seizure mode is available) while the last square won't be reached for over 2 billion years. [via <a href='http://projects.metafilter.com/4265/Exponential-Binary-Clock-Countdown'>mefi projects</a>] tag:metafilter.com,2014:site.137978Thu, 03 Apr 2014 12:17:41 -0800divabatA connection between the Mandelbrot set and the way nature operates...
http://www.metafilter.com/137960/A%2Dconnection%2Dbetween%2Dthe%2DMandelbrot%2Dset%2Dand%2Dthe%2Dway%2Dnature%2Doperates
Arthur C. Clarke, Benoit Mandelbrot, Stephen Hawking, David Gilmour and many more trip the fuck out about <a href="http://youtube.com/watch?v=Lk6QU94xAb8">Fractals, the Colors of Infinity.</a> tag:metafilter.com,2014:site.137960Thu, 03 Apr 2014 01:39:52 -0800loquaciousThe proof is in the pudding
http://www.metafilter.com/137632/The%2Dproof%2Dis%2Din%2Dthe%2Dpudding
<a href="http://www.gdriv.es/derivclicker/game.html">Derivative Clicker</a> tag:metafilter.com,2014:site.137632Thu, 20 Mar 2014 08:47:40 -0800oceanjesse"I really like polyhedra."
http://www.metafilter.com/137394/I%2Dreally%2Dlike%2Dpolyhedra
<a href="http://noiselesschatter.com/2014/02/25/polyhedra-and-the-media/">Polyhedra and the Media</a> - On the new polyhedra of Schein and Gayed, and mathematical journalism. tag:metafilter.com,2014:site.137394Tue, 11 Mar 2014 06:24:01 -0800Wolfdogthere is no soundtrack
http://www.metafilter.com/137347/there%2Dis%2Dno%2Dsoundtrack
<a href="https://www.simonsfoundation.org/quanta/20140224-a-fluid-new-path-in-grand-math-challenge/">Finite time blowup for an averaged three-dimensional Navier-Stokes equation</a> - "[<a href="http://terrytao.wordpress.com/">Terence Tao</a>] has shown that in an alternative abstract universe closely related to the one described by the <a href="http://en.wikipedia.org/wiki/Navier%E2%80%93Stokes_equations">Navier-Stokes</a> equations, it is possible for a body of fluid to form a sort of computer, which can build a self-replicating fluid robot that, <a href="http://www.drseussart.com/details/illustration/littlecats.html">like the Cat in the Hat</a>, keeps transferring its energy to smaller and smaller copies of itself until the fluid '<a href="http://terrytao.wordpress.com/2014/02/04/finite-time-blowup-for-an-averaged-three-dimensional-navier-stokes-equation/">blows up</a>.' " [<a href="http://terrytao.wordpress.com/2014/02/25/conserved-quantities-for-the-euler-equations/">1</a>,<a href="http://terrytao.wordpress.com/2014/03/02/noethers-theorem-and-the-conservation-laws-for-the-euler-equations/">2</a>,<a href="http://terrytao.wordpress.com/2014/03/06/conserved-quantities-for-the-surface-quasi-geostrophic-equation/">3</a>] (<a href="http://www.metafilter.com/55295/Another-Clay-Institute-Millenium-Prize-Problem-Solved">previously</a>) tag:metafilter.com,2014:site.137347Sun, 09 Mar 2014 13:49:39 -0800kliulessThe one that is the smaller is the larger
http://www.metafilter.com/137307/The%2Done%2Dthat%2Dis%2Dthe%2Dsmaller%2Dis%2Dthe%2Dlarger
<a href="http://www.inference.phy.cam.ac.uk/sanjoy/benezet/three.html">The Teaching of Arithmetic: The Story of an experiment.</a> <i>In the fall of 1929 I made up my mind to try the experiment of abandoning all formal instruction in arithmetic below the seventh grade and concentrating on teaching the children to read, to reason, and to recite - my new Three R's. And by reciting I did not mean giving back, verbatim, the words of the teacher or of the textbook. I meant speaking the English language. I picked out five rooms - three third grades, one combining the third and fourth grades, and one fifth grade. I asked the teachers if they would be willing to try the experiment.</i> tag:metafilter.com,2014:site.137307Sat, 08 Mar 2014 07:55:25 -0800WolfdogThat’s why it doesn’t matter if God plays dice with the Universe
http://www.metafilter.com/137160/Thats%2Dwhy%2Dit%2Ddoesnt%2Dmatter%2Dif%2DGod%2Dplays%2Ddice%2Dwith%2Dthe%2DUniverse
<a href="http://plus.maths.org/content/john-conway-discovering-free-will-part-i">Discovering Free Will</a> (<a href="http://plus.maths.org/content/john-conway-discovering-free-will-part-ii">Part II</a>, <a href="http://plus.maths.org/content/john-conway-discovering-free-will-part-iii?src=aop">Part III</a>) - a nice discussion of the Conway-Kochen "Free Will Theorem". The article includes a <a href="http://plus.maths.org/content/proof-kochen-specker-theorem"> proof of the Kochen-Specker Theorem</a> which I found clearer than <a href="http://en.wikipedia.org/wiki/Kochen%E2%80%93Specker_theorem">some more technical accounts</a> [wikipedia] of the result. There's also a link to Conway and Kochen's "surprisingly readable" <a href="http://www.ams.org/notices/200902/rtx090200226p.pdf" title="">article in the Notices</a> [pdf] of the AMS. tag:metafilter.com,2014:site.137160Tue, 04 Mar 2014 05:25:22 -0800WolfdogJohn Baez on the maths of connecting everyone (and everything) on earth
http://www.metafilter.com/137105/John%2DBaez%2Don%2Dthe%2Dmaths%2Dof%2Dconnecting%2Deveryone%2Dand%2Deverything%2Don%2Dearth
<a href="http://johncarlosbaez.wordpress.com/2014/02/22/network-theory-overview/">Network Theory Overview</a> - "<a href="http://johncarlosbaez.wordpress.com/2014/02/07/network-theory-talks-at-oxford/">The idea</a>: nature and the world of human technology are <a href="http://johncarlosbaez.wordpress.com/2013/04/23/network-theory-part-29/">full of networks</a>! People like to draw diagrams of networks. Mathematical physicists know that in principle these diagrams can be understood using <a href="http://math.ucr.edu/home/baez/irvine/">category theory</a>. But why should <a href="http://www.perimeterinstitute.ca/videos/energy-and-environment-what-physicists-can-do">physicists have all the fun</a>? This is the century of <i><a href="https://plus.google.com/117663015413546257905/posts/e6stQjMvm3y">understanding living systems and adapting to life on a finite planet</a></i>. Math isn't the main thing we need, but it's got to be <a href="https://plus.google.com/117663015413546257905/posts/5gt7pfibYMg">part of the solution</a>... <a href="http://johncarlosbaez.wordpress.com/2014/03/02/network-theory-i/">so one thing we should do</a> is develop a unified and powerful <a href="http://math.ucr.edu/home/baez/networks/">theory of networks</a>." (<a href="https://plus.google.com/117663015413546257905/posts/SmWyn8HcDyW">via</a> ;) tag:metafilter.com,2014:site.137105Sun, 02 Mar 2014 09:06:38 -0800kliulessPizzanomics
http://www.metafilter.com/137063/Pizzanomics
<a href="http://www.npr.org/blogs/money/2014/02/26/282132576/74-476-reasons-you-should-always-get-the-bigger-pizza">You Should Always Get the Bigger Pizza</a> (SL NPR blog post w/interactive graph) tag:metafilter.com,2014:site.137063Fri, 28 Feb 2014 09:03:55 -0800neroliScale invariant art
http://www.metafilter.com/137033/Scale%2Dinvariant%2Dart
<a href="http://vimeo.com/18308069">Astroblast</a> and <a href="http://vimeo.com/87696634">Overstepping Artifacts</a> are music videos by the project Musicians with Guns, which take the viewer through detailed tours of some beauty. Relax and enjoy. tag:metafilter.com,2014:site.137033Thu, 27 Feb 2014 14:35:30 -0800Blazecock Pileon"What is...." from the Notices of the American Math Society
http://www.metafilter.com/137005/What%2Dis%2Dfrom%2Dthe%2DNotices%2Dof%2Dthe%2DAmerican%2DMath%2DSociety
Each month, the Notices of the American Math Society runs a column called "What is...." which aims to explain an advanced mathematical concept in two pages, at a level accessible to a good undergrad math major. Armin Straub, a postdoc at Illinois, <a href="http://arminstraub.com/math/what-is-column">has collected them all in one place</a>. Some that I particularly like:
<a href="http://www.ams.org/notices/201204/rtx120400532p.pdf">"What is ... data mining?" by Mauro Maggioni</a>
<a href="http://www.ams.org/notices/201008/rtx100800976p.pdf">"What is ... a sandpile?" by Lionel Levine and James Propp</a>
<a href="http://www.ams.org/notices/200511/what-is.pdf">"What is ... a random matrix?" by Persi Diaconis</a>
If these are all too down-to-earth for you, feel free to head straight for Jacob Lurie's <a href="http://www.ams.org/notices/200808/tx080800949p.pdf">"What is ... an infinity-category?"</a> tag:metafilter.com,2014:site.137005Wed, 26 Feb 2014 19:15:42 -0800escabecheIt's Action, Reaction, Diffusion Interaction
http://www.metafilter.com/136888/Its%2DAction%2DReaction%2DDiffusion%2DInteraction
<a href="http://n-e-r-v-o-u-s.com/blog/?tag=reaction-diffusion">Reaction-diffusion reactions</a> used to design <a href="http://n-e-r-v-o-u-s.com/shop/search_tags.php?search=housewares">housewares, puzzles, and more</a>. If you want to experiment yourself, you might get some ideas from the demos at <a href="http://webglplayground.net/gallery">WebGL Playground</a> or you might use <a href="http://www.karlsims.com/rd.html">this brief intro</a> as a jumping-off point. tag:metafilter.com,2014:site.136888Sun, 23 Feb 2014 06:08:50 -0800WolfdogGeogebra
http://www.metafilter.com/136868/Geogebra
<a href="http://www.geogebra.org/cms/en/">Geogebra</a> is an interactive geometry tool which started as a free clone of Geometer's Sketchpad, but is now also an algebra, statistics and calculus tool. It is available for <a href="http://www.geogebra.org/cms/download">download</a> for Windows, Mac, Linux, iOS and Android, or as a <a href="http://web.geogebra.org/app/">web app</a>. To get an idea of what you can do with Geogebra, head on over to <a href="http://www.geogebratube.org/">GeogebraTube!</a>
Some highlights:
<a href="http://www.geogebratube.org/material/show/id/7387">Fractal Fern</a>
<a href="http://www.geogebratube.org/material/show/id/46733">Constructing a regular pentagon</a>
Proving the Pythagorean Theorem (<a href="http://www.geogebratube.org/material/show/id/423">1</a>,<a href="http://www.geogebratube.org/material/show/id/3793">2</a> of many)
<a href="http://www.geogebratube.org/student/m19165">11 ways to open a cube</a>
<a href="http://www.geogebratube.org/material/show/id/387">Mandelbrot visualization</a>
<a href="http://www.geogebratube.org/material/show/id/16650">Newton's Method</a> tag:metafilter.com,2014:site.136868Sat, 22 Feb 2014 05:08:07 -0800Elementary PenguinVisual Patterns.
http://www.metafilter.com/136750/Visual%2DPatterns
<a href="http://www.visualpatterns.org">Visual Patterns.</a> Here are the first few steps. What's the equation? tag:metafilter.com,2014:site.136750Tue, 18 Feb 2014 05:33:18 -0800WolfdogNetwork Nonsense
http://www.metafilter.com/136576/Network%2DNonsense
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": <a href="http://liorpachter.wordpress.com/2014/02/10/the-network-nonsense-of-albert-laszlo-barabasi/">The Network Nonsense of Albert-Laszlo Barabasi</a>, <a href="http://liorpachter.wordpress.com/2014/02/11/the-network-nonsense-of-manolis-kellis/">The Network Nonsense of Manolo Kellis</a>, and <a href="http://liorpachter.wordpress.com/2014/02/12/why-i-read-the-network-nonsense-papers/">Why I Read the Network Nonsense Papers</a>. Kellis (MIT) and his co-authors <a href="http://compbio.mit.edu/nd/Response_to_Nonsense_Blog_Post.pdf">respond</a> (.pdf.) tag:metafilter.com,2014:site.136576Wed, 12 Feb 2014 09:12:13 -0800escabecheThe Hierarchy of Hexagons
http://www.metafilter.com/136536/The%2DHierarchy%2Dof%2DHexagons
<a href="http://christopherdanielson.wordpress.com/2012/10/12/the-hierarchy-of-hexagons/">The Hierarchy of Hexagons.</a> <i>School geometry seems to me one of the most lifeless topics in all of mathematics.
And the worst of all? The hierarchy of quadrilaterals.</i> tag:metafilter.com,2014:site.136536Tue, 11 Feb 2014 07:13:09 -0800WolfdogThe perfect billiards break
http://www.metafilter.com/136294/The%2Dperfect%2Dbilliards%2Dbreak
<a href="http://mathoverflow.net/questions/156263/perfectly-centered-break-of-a-perfectly-aligned-pool-ball-rack/156407#156407">What would happen if a cue ball struck a rack of 15 perfectly round, frictionless billiard balls, exactly head-on?</a> tag:metafilter.com,2014:site.136294Mon, 03 Feb 2014 07:45:12 -0800escabecheLove Is A Data Field
http://www.metafilter.com/135884/Love%2DIs%2DA%2DData%2DField
<a href="http://www.wired.com/wiredscience/2014/01/how-to-hack-okcupid/all/">How a Math Genius Hacked OkCupid to Find True Love</a> <blockquote>
“I think that what I did is just a slightly more algorithmic, large-scale, and machine-learning-based version of what everyone does on the site,” <a href="http://christophermckinlay.net">McKinlay</a> says. Everyone tries to create an optimal profile—he just had the data to engineer one.
</blockquote> He went on to write a how-to book: <a href="http://www.amazon.com/exec/obidos/ASIN/B00HY351S2/metafilter-20/ref=nosim/">Optimal Cupid: Mastering the Hidden Logic of OkCupid</a>
<a href="http://www.youtube.com/watch?v=d6wG_sAdP0U">Amy Webb</a> also tried <a href="http://forward.com/articles/170925/hacking-jdate-to-find-the-perfect-jewish-hubby/?p=all">hacking</a> love. tag:metafilter.com,2014:site.135884Tue, 21 Jan 2014 18:22:31 -0800kypI Was Told There Would Be No Math
http://www.metafilter.com/135617/I%2DWas%2DTold%2DThere%2DWould%2DBe%2DNo%2DMath
M.I.T. professor Max Tegmark <a href="http://www.scientificamerican.com/article.cfm?id=is-the-universe-made-of-math-excerpt&print=true">explores the possibility</a> that math does not just describe the universe, but makes the universe. tag:metafilter.com,2014:site.135617Tue, 14 Jan 2014 08:06:41 -0800COD"An infinite number of mathematicians walk into a bar..."
http://www.metafilter.com/135502/An%2Dinfinite%2Dnumber%2Dof%2Dmathematicians%2Dwalk%2Dinto%2Da%2Dbar
<a href="http://www.youtube.com/watch?v=w-I6XTVZXww">1 + 2 + 3 + 4 + 5 ... = -1/12</a> -- Numberphile explains a counter-intuitive summation of an infinite series. <a href="http://www.youtube.com/watch?v=E-d9mgo8FGk&feature=youtu.be">There's a more mathematically rigorous proof here.</a> tag:metafilter.com,2014:site.135502Thu, 09 Jan 2014 22:55:59 -0800empathipython notebook - a web-based interactive computational environment
http://www.metafilter.com/135371/ipython%2Dnotebook%2Da%2Dweb%2Dbased%2Dinteractive%2Dcomputational%2Denvironment
"The <a href="http://ipython.org/notebook.html">IPython Notebook</a> is a web-based interactive computational environment where you can combine code execution, text, mathematics, plots and rich media into a single document". It can be installed faily easily with <a href="https://store.continuum.io/cshop/anaconda/">anaconda</a> or on <a href="https://gist.github.com/iamatypeofwalrus/5183133"> Amazon EC2</a>.
Various interesting notebooks are to be found at the official <a href="http://nbviewer.ipython.org/?">Notebook Viewer site</a>
Another collection of interesting notebooks <a href="https://github.com/ipython/ipython/wiki/A-gallery-of-interesting-IPython-Notebooks">on many topics</a>. Python science and plotting tools numpy, scipy and matplotlib can all be used within a notebook. Latex and markdown as well. It is being used in a few classrooms: <a href="http://peak5390.wordpress.com/2013/09/22/how-ipython-notebook-and-github-have-changed-the-way-i-teach-python/">link1</a>, <a href="http://ivory.idyll.org/blog/teaching-with-ipynb-2.html">link2</a> Resources for learning how to use ipython notebooks: <a href="http://ipython.org/ipython-doc/stable/interactive/notebook.html">tutorial</a>, <a href="http://www.amazon.com/exec/obidos/ASIN/1782169938/metafilter-20/ref=nosim/">book</a>, <a href="https://www.youtube.com/watch?v=upw-AIzWcfQ">youtube1</a>, <a href="https://www.youtube.com/watch?v=vAG__dRQYVk">youtube2</a> tag:metafilter.com,2014:site.135371Sun, 05 Jan 2014 18:53:06 -0800meta87Wondering What to Get with That Gift Card?
http://www.metafilter.com/135164/Wondering%2DWhat%2Dto%2DGet%2Dwith%2DThat%2DGift%2DCard
It's a bit late for the holiday, but math(s) comedian Helen Arney <a href="http://www.bbc.co.uk/programmes/p01ns0wj">sings about her Christmas wish</a> -- the largest known Mersenne Prime, <a href="http://en.wikipedia.org/wiki/Mersenne_prime">Mersenne 48</a>. The song appeared on a recent edition of the BBC4 radio show/podcast <a href="http://www.bbc.co.uk/programmes/b006qshd">More or Less</a> which deals with numbers and especially statistics. Arney performs as part of <a href="http://festivalofthespokennerd.com/">The Festival of the Spoken Nerd</a> in the UK.
Bonus Helen Arney -- <a href="http://www.youtube.com/watch?v=5JOAoiX1LHA&feature=c4-overview-vl&list=PLUQzg8K3BcJLmneP2TwqoEJvqr2_NvFIX">"The Google Song"</a> from Numberphile [<a href="http://www.metafilter.com/123329/Numberphile-videos-about-numbers-and-stuff">previously</a>] tag:metafilter.com,2013:site.135164Sat, 28 Dec 2013 07:20:05 -0800GenjiandProustFor unto us a child is born
http://www.metafilter.com/135112/For%2Dunto%2Dus%2Da%2Dchild%2Dis%2Dborn
According to statistician <a href="https://twitter.com/avehtari">Aki Vehtari</a> of Aalto University in Finland, <a href="http://www.nytimes.com/2013/12/24/science/to-be-born-on-a-christmas-morn.html?smid=tw-nytimes&_r=0">there is diminished 20%</a> chance that today, <a href="http://andrewgelman.com/2013/12/24/nyt-version-birthday-graph/">December 25th</a>, is your birthday. There is a 5% higher likelihood than chance that your birthday is actually February 14th. <a href="http://andrewgelman.com/2013/12/19/happy-birthday/">Vehtari's decomposition of the birthdays data (the number of babies born each day in the United States, from 1968 through 1988) using a Gaussian process model,</a> tag:metafilter.com,2013:site.135112Wed, 25 Dec 2013 05:53:03 -0800roomthreeseventeenhydra!
http://www.metafilter.com/135022/hydra
<a href="http://www.madore.org/~david/math/hydra.xhtml">Try to defeat the hydra!</a> (Java required.) <a href="http://math.andrej.com/2008/02/02/the-hydra-game/">More about hydra math</a>. tag:metafilter.com,2013:site.135022Sun, 22 Dec 2013 01:42:22 -0800divabat