MetaFilter posts tagged with Math and science
http://www.metafilter.com/tags/Math+science
Posts tagged with 'Math' and 'science' at MetaFilter.Fri, 03 Oct 2014 06:24:33 -0800Fri, 03 Oct 2014 06:24:33 -0800en-ushttp://blogs.law.harvard.edu/tech/rss60запомнить практики запоминать практика запоминать практику
http://www.metafilter.com/143285/fluency
<a href="http://nautil.us/issue/17/big-bangs/how-i-rewired-my-brain-to-become-fluent-in-math-rd">Time after time, professors in mathematics and the sciences have told me that building well-ingrained chunks of expertise through practice and repetition was absolutely vital to their succes</a> Understanding doesn’t build fluency; instead, fluency builds understanding. In fact, I believe that true understanding of a complex subject comes only from fluency. tag:metafilter.com,2014:site.143285Fri, 03 Oct 2014 06:24:33 -0800sammyoCalculus without limits
http://www.metafilter.com/142845/Calculus%2Dwithout%2Dlimits
<a href="https://plus.google.com/u/0/117663015413546257905/posts/14b9fdM62un">Hyperreal numbers: infinities and infinitesimals</a> - "In 1976, <a href="https://www.math.wisc.edu/~keisler/">Jerome Keisler</a>, a student of the famous logician <a href="http://johncarlosbaez.wordpress.com/2013/03/31/probability-theory-and-the-undefinability-of-truth/">Tarski</a>, published this <a href="http://www.vias.org/calculus/">elementary textbook</a> that <a href="http://en.wikipedia.org/wiki/Infinitesimal#History_of_the_infinitesimal">teaches calculus</a> using <a href="http://en.wikipedia.org/wiki/Hyperreal_number">hyperreal numbers</a>. <a href="https://www.math.wisc.edu/~keisler/calc.html">Now it's free</a>, with a Creative Commons copyright!" (pdf—<a href="https://www.math.wisc.edu/~keisler/keislercalc-12-27-13.pdf">25mb</a> :) also btw :P
<ul><li><a href="https://plus.google.com/u/0/117663015413546257905/posts/JHAku2S1KFw">The logic of real and complex numbers</a> - "The cool part is that in some ways the complex numbers are <i>simpler</i> than the real numbers! The <a href="http://johncarlosbaez.wordpress.com/2014/09/08/the-logic-of-real-and-complex-numbers/">ultimate reason</a> is that you can't talk about one complex number being greater than another. This avoids some nonstandard number systems where you have a number that's greater than all the ones you wanted to talk about."</li>
<li><a href="https://plus.google.com/u/0/117663015413546257905/posts/dZcXuyHj7LH">Science, models, and machine learning</a> - "<a href="http://johncarlosbaez.wordpress.com/2014/09/03/science-models-and-machine-learning/">Machine learning</a> is the art of <a href="http://www.newscientist.com/article/mg22329832.700-googles-factchecking-bots-build-vast-knowledge-bank.html?full=true">getting computers to learn, so you don't have to</a> explicitly tell them what to do. People use it in spam filters, search engines that guess what you're trying to find, optical character recognition, <a href="https://medium.com/aspen-ideas/robots-with-their-heads-in-the-clouds-e88ac44def8a">cars that drive themselves</a>, and <a href="https://plus.google.com/u/0/117663015413546257905/posts/SrQe3Bsd9kp">many other</a> things. <a href="http://www.metafilter.com/135046/Things-Dont-Make-Sense-Till-They-Make-Sense-to-a-Stupid-Robot">But how does it work?</a>"</li>
<li><a href="http://infoproc.blogspot.com/2014/08/neural-networks-and-deep-learning-2.html">Neural Networks and Deep Learning</a> - "Inspired by the topics discussed in this <a href="http://infoproc.blogspot.com/2014/08/neural-networks-and-deep-learning.html">earlier post</a>, I've been reading <a href="http://neuralnetworksanddeeplearning.com/">Michael Nielsen's online book</a> on neural nets and deep learning."</li>
<li><a href="http://vserver1.cscs.lsa.umich.edu/~crshalizi/weblog/cat_statcomp.html">Introduction to Statistical Computing</a> - "At an intersection of <a href="http://vserver1.cscs.lsa.umich.edu/~crshalizi/weblog/cat_enigmas_of_chance.html">Enigmas of Chance</a> and <a href="http://vserver1.cscs.lsa.umich.edu/~crshalizi/weblog/cat_corrupting_the_young.html">Corrupting the Young</a>."</li>
<li><a href="http://www.math.columbia.edu/~woit/wordpress/?p=7172">Higher Algebra & Topos Theory</a> - "<a href="http://www.macfound.org/fellows/921/">Mathematician Jacob Lurie</a>, who was honored for redefining models in algebraic geometry, negotiated with his publisher to make his book on <a href="https://plus.google.com/u/0/117663015413546257905/posts/LX52bzbuWgH">math principles</a> available for <a href="http://www.math.harvard.edu/~lurie/">free download</a> on his personal website. While academics sometimes place papers online free, putting a whole book online isn't yet standard practice, according to the 36-year-old Harvard University professor. 'From my point of view, the benefit of writing a book is for people to look at it. I would like as many people as possible to look at it', he said."</li></ul> tag:metafilter.com,2014:site.142845Wed, 17 Sep 2014 17:23:34 -0800kliulessSelected Lectures on Science and Engineering in the Boston Area
http://www.metafilter.com/142776/Selected%2DLectures%2Don%2DScience%2Dand%2DEngineering%2Din%2Dthe%2DBoston%2DArea
If you live in the Boston area and would like to attend science, technology, math, or engineering lectures, you'll find Fred Hapgood's exhaustive and continually-updated list of <a href="http://www.BostonScienceLectures.com">Selected Lectures on Science and Engineering in the Boston Area</a> very useful. <a href="http://fhapgood.fastmail.fm.user.fm/sources.htm">(Here's his list of sources.)</a> Perhaps you know of a list like this for lectures in your locality or field of preference? tag:metafilter.com,2014:site.142776Mon, 15 Sep 2014 22:47:15 -0800not_on_displayMath and equations are fun.
http://www.metafilter.com/141814/Math%2Dand%2Dequations%2Dare%2Dfun
The power of math: <a href="http://pic.twitter.com/S91gCtuL72">17 Equations That Changed the World</a> - a one table summary of the <a href="http://www.amazon.co.uk/Pursuit-Equations-That-Changed-World/dp/0465085989/ref=sr_1_1?tag=skim0x70967-21&s=books&ie=UTF8&qid=1394573874">book</a> by <a href="http://www2.warwick.ac.uk/fac/sci/maths/people/staff/ian_stewart/">Ian Stewart FRS</a>. Business Insider gives <a href="http://www.businessinsider.com/17-equations-that-changed-the-world-2014-3">its interpretation of the importance of each equation</a>. Brain pickings (2012) on <a href="http://www.brainpickings.org/index.php/2012/04/16/in-pursuit-of-the-unknown-ian-stewart/">this book and equations</a>, and <a href="http://www2.warwick.ac.uk/knowledge/science/17equations/">another extract from the book</a>. Previously on MetaFilter: the Physics World list of the <a href="http://physicsworld.com/cws/article/print/2004/oct/06/the-greatest-equations-ever">top 20 equations of all time</a> (needs registration), via <a href="http://www.metafilter.com/54295/The-Hive-Mind-Discovers-Aliens#1417762">this comment</a>. tag:metafilter.com,2014:site.141814Sun, 10 Aug 2014 09:06:14 -0800WordshoreThe Foehr Reef
http://www.metafilter.com/141813/The%2DFoehr%2DReef
The Foehr Reef is part of the worldwide Crochet Coral Reef Project. It was made by over 700 women and combines more than 4000 individual pieces of marine wonder. A short <a href="http://vimeo.com/45191819">video</a> shows its beauty [alternating English and German audio]. <a href="http://www.mkdw.de/uploads/media/Bilddokumentation_Teil_2.pdf">PDFs</a> with <a href="http://www.mkdw.de/uploads/media/Bilddokumentation_Teil_3.pdf">pictures</a>.
"The Crochet Coral Reef is <a href="http://www.crochetcoralreef.org/">a woolly celebration</a> of the intersection of higher geometry and feminine handicraft, and a testimony to the disappearing wonders of the marine world." It originated out of a desire to increase awareness of environmental threats to the world's reefs and is a conjunction of art, environmentalism, and geometry. Woolly reefs arise <a href="http://www.crochetcoralreef.org/satellite/index.php">around the world</a>, currently seeking crocheters for a project in <a href="http://community.sunshinecoast.qld.gov.au/news/help-create-sunshine-coast-satellite-reef">Australia</a>. An upcoming exhibit in <a href="http://nyuad.nyu.edu/en/research/nyuad-institute/institute-programs/AbuDhabi_Satellite-Reef.html">Abu Dhabi</a> will showcase the reefs of the Persian Gulf. The Foehr Reef is currently on <a href="https://www.krefeld.de/de/dtm/aktuelle-ausstellung/">display</a> in Krefeld.
Instructions on hyperbolic crochet basics for reef corals [<a href="http://crochetcoralreef.org/Content/makeyourown/IFF-CrochetReef-HowToHandout.pdf">PDF</a>]. More patterns <a href="http://themainereef.blogspot.de/p/patterns.html">here</a> and on <a href="http://www.ravelry.com/patterns/sources/the-maine-reef-crochet-patterns/patterns">ravelry</a> [<a href="http://www.ravelry.com/patterns/library/brittle-star">2</a>, <a href="http://www.ravelry.com/patterns/library/hyperbolic-crochet-motifs-coral-reef">3</a>].
<a href="http://www.pinterest.com/memiller123/amigurumi-coral-reef/">Pinterest board</a> [<a href="http://www.pinterest.com/ouidamac/crochet-coral-reef/">2</a>, <a href="http://www.pinterest.com/mainereef/the-maine-crochet-coral-reef-project/">3</a>]. tag:metafilter.com,2014:site.141813Sun, 10 Aug 2014 08:34:26 -0800travelwithcats21st Century Wiener
http://www.metafilter.com/140806/21st%2DCentury%2DWiener
<a href="http://www.theatlantic.com/technology/archive/2014/06/norbert-wiener-the-eccentric-genius-whose-time-may-have-finally-come-again/372607/">Norbert Wiener: The Eccentric Genius Whose Time May Have Finally Come (Again)</a> - "The most direct reason for Wiener's fall to relative obscurity was the breakthrough of a young mathematician and engineer named <a href="http://www.metafilter.com/6138/The-passing-of-a-giant">Claude Shannon</a>." <a href="http://tikalon.com/blog/blog.php?article=2014/Norbert_Wiener">Norbert Wiener</a>:
<blockquote>In his 1950 book, "<a href="http://en.wikipedia.org/wiki/The_Human_Use_of_Human_Beings">The Human Use of Human Beings</a>," [<a href="http://21stcenturywiener.org/wp-content/uploads/2013/11/The-Human-Use-of-Human-Beings-by-N.-Wiener.pdf">PDF</a>] Wiener <a href="http://www.forbes.com/sites/christopherhelman/2014/07/02/dean-kamen-thinks-his-new-stirling-engine-could-power-the-world/print/">envisioned</a> a <a href="https://medium.com/@AdamThierer/muddling-through-how-we-learn-to-cope-with-technological-change-6282d0d342a6">utopia</a> in which <a href="http://www.bloombergview.com/articles/2014-07-07/larry-page-s-slacker-utopia">automation</a> would relieve humanity of <a href="http://marginalrevolution.com/marginalrevolution/2014/07/the-decline-of-drudgery-and-the-paradox-of-hard-work.html">manual</a> <a href="http://crookedtimber.org/2014/07/10/in-search-of-search-theory/">labor</a> to allow more <a href="http://continuations.com/post/91111911845/more-on-basic-income-and-robots">creative</a> pursuits. Sixty years later, we have much automation, but <a href="http://www.economist.com/blogs/freeexchange/2014/07/thomas-piketty-history-money">income</a> <a href="http://boingboing.net/2014/06/24/thomas-pikettys-capital-in-t.html">inequality</a> rather than utopia. Wiener died in Stockholm, Sweden, at age 69.
The crater, <a href="http://en.wikipedia.org/wiki/Wiener_%28crater%29">Wiener</a>, on the far side of the Moon is named after him. I've always believed in "Wiener's Law of Libraries," "<a href="http://en.wikiquote.org/wiki/Norbert_Wiener">There are no answers, only cross references</a>". The IEEE is sponsoring a conference, <a href="http://21stcenturywiener.org/">Norbert Wiener in the 21st Century</a>, commemorating Norbert Wiener. </blockquote>
also btw...
<ul><li><a href="http://www.nytimes.com/2013/05/21/science/mit-scholars-1949-essay-on-machine-age-is-found.html?pagewanted=all">In 1949, He Imagined an Age of Robots</a>: " 'The Machine Age' (<a href="http://libraries.mit.edu/archives/mithistory/pdf/MC0022_MachineAgeV3_1949.pdf">pdf</a>) an essay written for <i>The New York Times</i> by Norbert Wiener, a visionary mathematician, languished for six decades in the M.I.T. archives, and now excerpts are being published."</li>
<li><a href="http://infoproc.blogspot.com/2014/06/theoreticians-as-professional-outsiders.html">Theoreticians as Professional Outsiders</a>: The Modeling Strategies of John von Neumann and Norbert Wiener (<a href="http://www.ehudlamm.com/outsiders.pdf">pdf</a>)</li>
<blockquote>Both von Neumann and Wiener were outsiders to biology. Both were inspired by biology and both proposed models and generalizations that proved inspirational for biologists. Around the same time in the 1940s von Neumann developed the notion of self reproducing automata and Wiener suggested an explication of teleology using the notion of negative feedback. These efforts were similar in spirit. Both von Neumann and Wiener used mathematical ideas to attack foundational issues in biology, and the concepts they articulated had lasting effect. But there were significant differences as well. Von Neumann presented a how-possibly model, which sparked interest by mathematicians and computer scientists, while Wiener collaborated more directly with biologists, and his proposal influenced the philosophy of biology. The two cases illustrate different strategies by which mathematicians, the "professional outsiders" of science, can choose to guide their engagement with biological questions and with the biological community, and <a href="http://www.metafilter.com/137105/John-Baez-on-the-maths-of-connecting-everyone-and-everything-on-earth">illustrate different kinds of generalizations</a> that mathematization can contribute to biology. The different strategies employed by von Neumann and Wiener and the types of models they constructed may have affected the fate of von Neumann's and Wiener's ideas – as well as the reputation, in biology, of von Neumann and Wiener themselves.</blockquote>
<li><a href="http://www.nytimes.com/2014/07/08/science/a-billionaire-mathematicians-life-of-ferocious-curiosity.html">A Billionaire Mathematician's Life of Ferocious Curiosity</a>: "Dr. Simons received his doctorate at 23; advanced code breaking for the National Security Agency at 26; led a university math department at 30; won geometry's top prize at 37; <a href="http://infoproc.blogspot.com/2014/07/james-simons-mathematics-common-sense.html">founded Renaissance Technologies</a>, one of the world's most successful hedge funds, at 44; and began setting up <a href="http://www.simonsfoundation.org/quanta/">charitable foundations</a> at 56."</li>
<li><a href="http://infoproc.blogspot.com/2014/07/physics-and-horizons-of-truth.html">Physics and the Horizons of Truth</a>: "mathematics without something like the 'axiom of infinity' might be well-defined..." [<a href="http://infoproc.blogspot.com/2013/06/horizons-of-truth.html">Horizons of Truth</a>: Kurt Gödel and the Foundations of Mathematics (<a href="http://f3.tiera.ru/2/M_Mathematics/MA_Algebra/MAml_Mathematical%20logic/Baaz%20M.,%20et%20al.%20(eds.)%20Kurt%20Goedel%20and%20the%20foundations%20of%20mathematics.%20Horizons%20of%20truth%20(CUP,%202011)(ISBN%200521761441)(O)(541s)_MAml_.pdf">pdf</a>)]</li>
<li><a href="https://www.youtube.com/watch?v=uh6GCY9i6tY">Sentences you never thought you'd hear in Congress</a>: "Madame Speaker, I would like to talk about <a href="http://www.metafilter.com/134338/binding-the-andat">twin prime numbers</a>..."</li></ul> tag:metafilter.com,2014:site.140806Fri, 11 Jul 2014 07:11:08 -0800kliulessThe Quest for Randomness
http://www.metafilter.com/138566/The%2DQuest%2Dfor%2DRandomness
Can you ever be reasonably sure that something is random, in the same sense you can be reasonably sure something is not random (for example, <a href="http://dilbert.com/strips/comic/2001-10-25/">because it consists of endless nines</a>)? Even if a sequence looked random, how could you ever rule out the possibility that it had a hidden deterministic pattern? And <a href="http://www.americanscientist.org/issues/pub/2014/3/the-quest-for-randomness">what exactly do we mean by “random,” anyway</a>? tag:metafilter.com,2014:site.138566Thu, 24 Apr 2014 00:22:19 -0800empathA 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 -0800kliuless"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 -0800kliulessJohn 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 -0800kliulessScale 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 PileonNetwork 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 -0800escabecheI 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 -0800CODipython 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 -0800meta87Intuitive Guide to Principles of Communications
http://www.metafilter.com/135020/Intuitive%2DGuide%2Dto%2DPrinciples%2Dof%2DCommunications
Charan Langton (<a href="http://complextoreal.com/blog/">blog</a>) hosts <a href="http://complextoreal.com/">Complex To Real</a>: which "...offers tutorials I have written on various topics in analog and digital communications that will help you cut through this complexity." There are 32 tutorials of interest to anyone that is curious about how your cellphone or wifi work. <small><i>All links are PDF's</i></small>
<a href="http://complextoreal.com/wp-content/uploads/2012/12/signals.pdf">Tutorial 1 – Basic concepts in signal analysis, power, energy and spectrum</a>
<a href="http://complextoreal.com/wp-content/uploads/2013/01/diffcod.pdf">Tutorial 2 – Differential Phase Shift Keying</a>
<a href="http://complextoreal.com/wp-content/uploads/2013/01/tdvbs.pdf">Tutorial 3 – DVB-S standard, a simplified version</a>
<a href="http://complextoreal.com/wp-content/uploads/2012/12/fft1.pdf">Tutorial 4 – Fourier Analysis Made easy – Chapter 1</a>
<a href="http://complextoreal.com/wp-content/uploads/2012/12/fft2.pdf">Tutorial 5 – Fourier Analysis Made easy – Chapter 2</a>
<a href="http://complextoreal.com/wp-content/uploads/2012/12/fft3.pdf">Tutorial 6 – Discrete Time Fourier Series – Chapter 3</a>
<a href="http://complextoreal.com/wp-content/uploads/2012/12/fft4.pdf">Tutorial 6-2 – Fourier Transform of aperiodic and periodic signals – Chapter 4</a>
<a href="http://complextoreal.com/wp-content/uploads/2013/04/fft5.pdf">Tutorial 6-3 – Discrete Fourier Transform – Part 5</a>
<a href="http://complextoreal.com/wp-content/uploads/2013/01/tcomplex.pdf">Tutorial 7 – Hilbert Transform and the Complex Envelope</a>
<a href="http://complextoreal.com/wp-content/uploads/2013/01/mod1.pdf">Tutorial 8 – All About Digital Modulation</a>
<a href="http://complextoreal.com/wp-content/uploads/2013/01/base.pdf">Tutorial 9 – Baseband, Passband and Amplitude Modulation (AM)</a>
<a href="http://complextoreal.com/wp-content/uploads/2013/01/twta.pdf">Tutorial 10 – All about Traveling Wave Tube Amplifiers (TWTA) and non-linear amplification</a>
<a href="http://complextoreal.com/wp-content/uploads/2013/01/linkbud.pdf">Tutorial 11 – Link Budgets</a>
<a href="http://complextoreal.com/wp-content/uploads/2013/01/convo.pdf">Tutorial 12 – Convolutional Coding and Decoding Made Easy</a>
<a href="http://complextoreal.com/wp-content/uploads/2013/01/block.pdf">Tutorial 13 – Coding Concepts and Block Coding</a>
<a href="http://complextoreal.com/wp-content/uploads/2013/01/isi.pdf">Tutorial 14 – Inter Symbol Interference (ISI) and Raised cosine filtering</a>
<a href="http://complextoreal.com/wp-content/uploads/2013/01/eye.pdf">Tutorial 15 – How to interpret an Eye diagram</a>
<a href="http://complextoreal.com/wp-content/uploads/2013/01/qpr.pdf">Tutorial 16 – Partial Response signaling and Quadrature Partial Response (QPR) modulation</a>
<a href="http://complextoreal.com/wp-content/uploads/2013/01/fm.pdf">Tutorial 17 – Frequency Modulation (FM), FSK, MSK and more</a>
<a href="http://complextoreal.com/wp-content/uploads/2013/01/pll.pdf">Tutorial 18 – Unlocking the Phase Locked Loop (PLL) – Part 1</a>
<a href="http://complextoreal.com/wp-content/uploads/2013/01/pll2.pdf">Tutorial 19 – Unlocking the Phase Locked Loop (PLL) – Part 2</a>
<a href="http://complextoreal.com/wp-content/uploads/2013/01/modulation2.pdf">Tutorial 20 – Modulation performance metrics and computation of BER</a>
<a href="http://complextoreal.com/wp-content/uploads/2013/01/mft.pdf">Tutorial 21 – Linear Time Invariant systems and Matched filtering</a>
<a href="http://complextoreal.com/wp-content/uploads/2013/01/ofdm2.pdf">Tutorial 22 – Orthogonal Frequency Division Multiplex (OFDM, DMT)</a>
<a href="http://complextoreal.com/wp-content/uploads/2013/01/Lattice.pdf">Tutorial 23a – About Lattice and cosets</a>
<a href="http://complextoreal.com/wp-content/uploads/2013/01/tcm.pdf">Tutorial 23b – Trellis coded Modulation (TCM)</a>
<a href="http://complextoreal.com/wp-content/uploads/2013/01/turbo1.pdf">Tutorial 24a – Turbo Coding and MAP Decoding – Part 1</a>
<a href="http://complextoreal.com/wp-content/uploads/2013/01/turbo2.pdf">Tutorial 24b – The MAP decoding algorithm, step-by-step Part 2</a>, also a <a href="http://complextoreal.com/wp-content/uploads/2013/01/turbo_example.xls">companion worksheet</a> in .xls format
<a href="http://complextoreal.com/wp-content/uploads/2013/01/CDMA.pdf">Tutorial 25 – Spread spectrum and CDMA</a>
<a href="http://complextoreal.com/wp-content/uploads/2013/01/filters.pdf">Tutorial 26 – All my filters – Analog, Digital and Adaptive</a>
<a href="http://complextoreal.com/wp-content/uploads/2013/01/mimo.pdf">Tutorial 27 – Finding MIMO</a> tag:metafilter.com,2013:site.135020Sat, 21 Dec 2013 21:23:06 -0800Confess, FletchWhere My Ladies At?
http://www.metafilter.com/134514/Where%2DMy%2DLadies%2DAt
Recently Emily Graslie, of the fantastic natural history <a href="http://thebrainscoop.tumblr.com/">tumblr</a> and <a href="http://www.youtube.com/user/thebrainscoop?feature=watch">youtube series TheBrainScoop</a>, was asked a question about whether she had personally experienced sexism in her field. <a href="http://www.youtube.com/watch?v=yRNt7ZLY0Kc">Her response is fucking amazing.</a> <blockquote>Inside is her goldmine of awesome female science educators online with channels that focus on Science Technology Engineering and Math. My work day is fucked.</blockquote> Science (biology): <blockquote>Anna Rothschild, <a href="https://www.youtube.com/user/NOVAonline">Gross Science</a>
Claire, <a href="https://www.youtube.com/user/BrilliantBotany">Brilliant Botany</a>
Sally Le Page, <a href="https://www.youtube.com/user/shedscience">Shed Science</a>
Julia Wilde, <a href="https://www.youtube.com/user/wildescience/videos">That's So Science</a>
<a href="http://www.youtube.com/user/DrBondar">Dr. Bondar</a>
Lindsay Doe, <a href="http://www.youtube.com/sexplanations">Sexplanations</a>
Laci Green, <a href="http://www.youtube.com/lacigreen">Sex+</a>
Annie Gaus, <a href="https://www.youtube.com/user/pickyourpoisonshow">Pick your Poison</a>
Vanessa Hill, <a href="https://www.youtube.com/braincraftvideo">BrainCraft</a>
<a href="http://www.youtube.com/user/ThePenguinProf">The Penguin Prof</a>
<a href="https://www.youtube.com/user/AmoebaSisters">Amoeba Sisters</a></blockquote>Science (misc.):<blockquote>Maddie Moate, <a href="http://www.youtube.com/earthunplugged">Earth Unplugged</a>
Elise Andrew, <a href="https://www.youtube.com/user/IFLScience">I F*cking Love Science</a>
<a href="http://www.youtube.com/user/rkwatson/videos">Rebecca Watson</a>
Alex Dainis, <a href="https://www.youtube.com/user/Lexie527/">Bite Sci-zed</a>
<a href="http://bit.ly/1dAXh9T">Amy Shira Teitel</a>
<a href="https://www.youtube.com/user/joannelovesscience/">Joanne Manaster</a>
Jessica King, <a href="http://www.youtube.com/jessicasfieldnotes">FieldNotes</a>
Meg Rosenburg, <a href="http://bit.ly/18rbhRF">Tales from the History of Science</a>
Ella, <a href="https://www.youtube.com/user/EllaC522/">Sci-Files</a>
Dr. Kiki, <a href="https://www.youtube.com/user/ThisWeekinScience">This Week in Science</a>
Boonsri, <a href="http://www.youtube.com/user/ElementalDIY/">Elemental</a>
<a href="http://www.youtube.com/user/fyfluiddynamics">Eff Yeah Fluid Dynamics</a>
Allison Jack, <a href="http://www.youtube.com/user/AllisonLHJack/">Agricultural Science</a>
Katie McGill, <a href="https://www.youtube.com/thephysicsfactor">The Physics Factor</a></blockquote>Technology: <blockquote>Amanda Aizuss, <a href="https://www.youtube.com/user/iTalkApple/">iTalkApple</a>
Emily Eifler, <a href="https://www.youtube.com/user/BlinkPopShift/">BlinkPopShift</a>
<a href="https://www.youtube.com/ContourCorsets">Fran Blanche</a>
<a href="https://www.youtube.com/user/nixiedoeslinux">Nixie Pixel</a></blockquote>Engineering: <blockquote><a href="https://www.youtube.com/user/jeriellsworth">Jerri Ellsworth</a>
Limor "Ladyada" <a href="https://www.youtube.com/user/adafruit/">Fried</a></blockquote>Math: <blockquote><a href="http://www.youtube.com/vihart">ViHart</a>
Saramoira Shields, <a href="https://www.youtube.com/user/SqueakyMcBald/">Mathematigal</a>
<a href="https://www.youtube.com/user/LookingGlassUniverse/">LookingGlassUniverse:</a>
Rebecca Thomas, <a href="https://www.youtube.com/deadbunnyguides/">Dead Bunny Guides</a></blockquote>
<a href="http://www.metafilter.com/125049/Be-forewarned-sometimes-often-there-are-guts">TheBrainScoop previously</a> tag:metafilter.com,2013:site.134514Fri, 06 Dec 2013 03:57:38 -0800BlasdelbMath with Bad Drawings
http://www.metafilter.com/134423/Math%2Dwith%2DBad%2DDrawings
<a href="http://mathwithbaddrawings.com/2013/12/02/headlines-from-a-mathematically-literate-world/">Headlines from a Mathematically Literate World</a> Also on <a href="http://mathwithbaddrawings.com/">the pretty fantastic blog</a> is <a href="http://mathwithbaddrawings.com/the-bear-in-the-moonlight/">The Bear in the Moonlight</a>, which consists of seven tales about a curious student and a wise, Zen-like teacher. Each little fable aims to impart a truth about probability, and is followed by an explanation of the underlying ideas. (In the pdf versions you’ll also find discussion questions, in case you’re hoping these can garnish your lesson plans).
They’re for students. They’re for teachers. They’re for anyone curious about the mathematics of the unknown and the unknowable.
Math with Bad Drawings,<blockquote>Previously: <a href="http://www.metafilter.com/131296/Lets-not-complicate-things-unnecessarily">5 Math experts split the check</a>, let’s not complicate things unnecessarily.
and
Previouslier: <a href="http://www.metafilter.com/129211/Ultimate-TicTacToe">Ultimate Tic-Tac-Toe</a></blockquote> tag:metafilter.com,2013:site.134423Wed, 04 Dec 2013 02:28:14 -0800Blasdelbbinding the andat
http://www.metafilter.com/134338/binding%2Dthe%2Dandat
<a href="http://www.wired.com/wiredscience/2013/11/prime/all/">Closing in on the twin prime conjecture</a> (<a href="https://www.simonsfoundation.org/quanta/20131119-together-and-alone-closing-the-prime-gap/">Quanta</a>) - "Just months after <a href="http://www.metafilter.com/128049/Quite-a-day-for-analytic-number-theory">Zhang</a> announced his result, <a href="http://arxiv.org/abs/1311.4600">Maynard</a> has presented an independent proof that pushes the gap down to 600. A <a href="http://terrytao.wordpress.com/tag/polymath8/">new Polymath project</a> is in the planning stages, to try to combine the collaboration's techniques with Maynard's approach to push this bound even lower." <a href="https://plus.google.com/u/0/117663015413546257905/posts/LxR23RdyvuF">also btw</a> :P (<a href="https://plus.google.com/u/0/117663015413546257905/posts/jd5K4jBKRYP">for fun</a>!)
-<a href="https://plus.google.com/u/0/117663015413546257905/posts/Z4cUWGQp8Ar">Schröder–Hipparchus numbers</a> (<a href="http://golem.ph.utexas.edu/category/2013/04/permutations_polynomials_and_p.html">The Hipparchus Operad</a>)
-<a href="https://plus.google.com/u/0/117663015413546257905/posts/WoXqXCzkc9S">Quasi</a>-<a href="http://golem.ph.utexas.edu/category/2013/06/quasicrystals_and_the_riemann.html">crystals</a> (<a href="https://plus.google.com/u/0/117663015413546257905/posts/j4Xxg44n1t6">quantum physics and number theory</a>)
-<a href="https://www.simonsfoundation.org/quanta/20131126-to-settle-infinity-question-a-new-law-of-logic/">To Settle Infinity Question, a New Law of Mathematics</a>
oh and <a href="https://www.simonsfoundation.org/quanta/20131107-physicists-eye-quantum-gravity-interface/">perhaps</a> more practically...
-<a href="http://www.thephysicsmill.com/2013/10/13/causal-dynamical-triangulations/">Quantum Geometry: Causal Dynamical Triangulations</a> (<a href="https://plus.google.com/u/0/117663015413546257905/posts/ATg9EwD5CJy">via</a>)
-<a href="https://plus.google.com/u/0/117663015413546257905/posts/9HeN1sSQztA">Quantropy</a>
-<a href="https://plus.google.com/u/0/117663015413546257905/posts/51Gd5adQZNM">Petri nets</a> (<a href="http://johncarlosbaez.wordpress.com/2013/04/19/petri-net-programming-part-3/">programming</a> <a href="http://www.metafilter.com/134300/ASCII-fluid-simulator">water</a>)
-<a href="http://johncarlosbaez.wordpress.com/2013/04/23/network-theory-part-29/">Network theory</a>
-<a href="https://plus.google.com/u/0/117663015413546257905/posts/SrQe3Bsd9kp">The network of mathematics</a>
-<a href="http://math.ucr.edu/home/baez/irvine/">The Foundations of Applied Mathematics</a> (<a href="https://plus.google.com/u/0/117663015413546257905/posts/LX52bzbuWgH">topos theory</a>)
-<a href="http://www.wired.com/wiredscience/2013/10/topology-data-sets/all/">Topological Data Analysis</a> tag:metafilter.com,2013:site.134338Sun, 01 Dec 2013 16:19:50 -0800kliulessMy God, it's full of... everything
http://www.metafilter.com/132048/My%2DGod%2Dits%2Dfull%2Dof%2Deverything
Revelations in the field of quantum physics have resulted in the discovery of the <a href="https://www.simonsfoundation.org/quanta/20130917-a-jewel-at-the-heart-of-quantum-physics/">Amplituhedron</a>, a jewel-like higher dimensional object whose volume elegantly predicts fundamental physical processes that took the brilliant Dr. Richard Feynman <a href="http://carlbrannen.wordpress.com/2007/07/22/feynman-diagrams-for-the-masses-part-1/">hundreds of pages of abstruse mathematics</a> to describe.
The theoretical manifold not only enables simple pen-and-paper calculation of physics that would <a href="http://www.perimeterinstitute.ca/news/new-face-feynman-diagrams">normally require supercomputers</a> to work out, but also challenges basic assumptions about the nature of reality -- forgoing the core concepts of <a href="http://www.mtnmath.com/whatrh/node76.html">locality</a> and <a href="http://en.wikipedia.org/wiki/Unitarity_(physics)">unitarity</a> 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.
<b>More:</b> <a href="http://arxiv.org/pdf/1212.5605v1.pdf">The 152-page source paper on arXiv</a> <small>[PDF]</small> - Lead author <a href="http://en.wikipedia.org/wiki/Nima_Arkani-Hamed">Nima Arkani-Hamed</a>'s <a href="http://susy2013.ictp.it/video/05_Friday/2013_08_30_Arkani-Hamed_4-3.html">hour-long lecture at SUSY 2013</a> - <a href="http://susy2013.ictp.it/lecturenotes/05_Friday/Arkani-Hamed.pdf">Scans of Arkani-Hamed's handwritten lecture notes</a> - A far more detailed lecture series "Scattering Without Space Time": <a href="https://www.youtube.com/watch?v=sv7Tvpbx3lc">one</a>, <a href="https://www.youtube.com/watch?v=LknO1-MC34I">two</a>, <a href="https://www.youtube.com/watch?v=WHOcHuiBoa4">three</a> - <a href="http://www.metafilter.com/96859/The-Future-of-Fundamental-Physics">Arkani-Hamed previously on MeFi</a> - <a href="http://en.wikipedia.org/wiki/Amplituhedron">A hot-off-the-presses Wikipedia page</a> (watch this space) tag:metafilter.com,2013:site.132048Wed, 18 Sep 2013 02:18:52 -0800RhaomiAssume A Cylindrical Cow
http://www.metafilter.com/129845/Assume%2DA%2DCylindrical%2DCow
<a href="http://math-blog.com/2013/07/08/the-mathematics-of-the-manhattan-project/">The Mathematics of the Manhattan Project</a> tag:metafilter.com,2013:site.129845Wed, 10 Jul 2013 03:07:27 -0800empathWhy Philosophers Should Care About Computational Complexity
http://www.metafilter.com/127753/Why%2DPhilosophers%2DShould%2DCare%2DAbout%2DComputational%2DComplexity
<blockquote>"One might think that, once we know something is computable, how efficiently it can be computed is a practical question with little further philosophical importance. In <a href="http://arxiv.org/abs/1108.1791v3">this essay</a>, I offer a detailed case that one would be wrong. In particular, I argue that computational complexity theory---the field that studies the resources (such as time, space, and randomness) needed to solve computational problems---leads to new perspectives on the nature of mathematical knowledge, the strong AI debate, computationalism, the problem of logical omniscience, Hume's problem of induction, Goodman's grue riddle, the foundations of quantum mechanics, economic rationality, closed timelike curves, and several other topics of philosophical interest. I end by discussing aspects of complexity theory itself that could benefit from philosophical analysis."</blockquote> tag:metafilter.com,2013:site.127753Sun, 05 May 2013 20:47:20 -0800cthuljewGreat Scientist ≠ Good at Math?
http://www.metafilter.com/126816/Great%2DScientist%2DGood%2Dat%2DMath
Do you need to know math to do science? <a href="http://online.wsj.com/article/SB10001424127887323611604578398943650327184.html">Harvard professor emeritus E. O. Wilson says, "no."</a> <a href="http://dynamicecology.wordpress.com/2013/04/07/e-o-wilson-vs-math/">Jeremy Fox, an Associate Professor of Population Ecology at the University of Calgary disagrees.</a> tag:metafilter.com,2013:site.126816Mon, 08 Apr 2013 06:42:00 -0800Obscure ReferenceComputerized Math, Formal Proofs and Alternative Logic
http://www.metafilter.com/126041/Computerized%2DMath%2DFormal%2DProofs%2Dandamp%2DAlternative%2DLogic
<a href="http://www.wired.com/wiredscience/2013/03/computers-and-math/all/">Using computer systems for doing mathematical proofs</a> - "With the proliferation of <a href="http://en.wikipedia.org/wiki/Computer-assisted_proof">computer-assisted proofs</a> that are all but impossible to check by hand, Hales thinks computers must become the judge." <blockquote>Three years ago, Vladimir Voevodsky, one of the organizers of a new program on the foundations of mathematics at the Institute for Advanced Study in Princeton, N.J., discovered that a formal logic system that was developed by computer scientists, called "<a href="http://en.wikipedia.org/wiki/Type_theory">type theory</a>" could be used to re-create the entire mathematical universe from scratch. Type theory is consistent with the mathematical axioms, but couched in the language of computers. Voevodsky believes this alternative way to formalize mathematics, which he has renamed the <a href="http://video.ias.edu/univalent/voevodsky">univalent foundations of mathematics</a>, will streamline the process of formal theorem proving. Voevodsky and his team are adapting a <a href="https://plus.google.com/u/0/117663015413546257905/posts/4BZRibN6iKQ">program named Coq</a>, which was designed to formally verify computer algorithms, for use in abstract mathematics.</blockquote>
also btw, speaking of mathematical revolutions, from a historical perspective, check out <a href="http://www.scientificamerican.com/article.cfm?id=the-man-of-numbers-fibona&print=true">The Man of Numbers: Fibonacci's Arithmetic Revolution</a> - "Before the 13th century Europeans used Roman numerals to do arithmetic. Leonardo of Pisa, better known today as Fibonacci, is largely responsible for the adoption of the Hindu–Arabic numeral system in Europe, which revolutionized not only mathematics but commerce and trade as well. How did the system spread from the Arab world to Europe, and what would our lives be without it?" tag:metafilter.com,2013:site.126041Sat, 16 Mar 2013 15:33:01 -0800kliulessAspiring Animators & Game Designers, Study Your Calculus & Combinatorics
http://www.metafilter.com/125790/Aspiring%2DAnimators%2Dandamp%2DGame%2DDesigners%2DStudy%2DYour%2DCalculus%2Dandamp%2DCombinatorics
Every film Pixar has produced has landed in the <a href="http://en.wikipedia.org/wiki/List_of_highest-grossing_animated_films">top fifty highest-grossing animated films of all time</a>. What's their secret? <a href="http://www.theverge.com/2013/3/7/4074956/pixar-senior-scientist-derose-explains-how-math-makes-movies-games">Mathematics.</a> Oh, and <a href="http://aerogrammestudio.com/2013/03/07/pixars-22-rules-of-storytelling/">22 Rules of Storytelling</a>. <a href="http://sciencefocus.com/feature/tech/pixar-animations-research-scientist">Dr. DeRose</a> has recently <a href="http://www.deseretnews.com/article/705369303/Whats-the-secret-to-Pixars-success-Math-of-course.html?pg=1">been giving lectures</a> about the Pixar formula ("story, concept art, modeling, rigging, shading and lighting") around the country.
On Youtube: <a href="http://www.youtube.com/watch?v=gXYvDYsh_CQ">Movies, Math and Making</a>.
PDFs of his <a href="http://graphics.pixar.com/library/indexAuthorDeRose.html">papers</a> are archived at Pixar's website.
Vimeo: <a href="http://vimeo.com/22094163">Math in the Movies: Making It All Add Up</a> tag:metafilter.com,2013:site.125790Fri, 08 Mar 2013 13:20:49 -0800zarq