MetaFilter posts tagged with Math
http://www.metafilter.com/tags/Math
Posts tagged with 'Math' at MetaFilter.Wed, 29 Jul 2015 00:34:29 -0800Wed, 29 Jul 2015 00:34:29 -0800en-ushttp://blogs.law.harvard.edu/tech/rss60Famous Fluid Equations Are Incomplete
http://www.metafilter.com/151640/Famous%2DFluid%2DEquations%2DAre%2DIncomplete
<a href="http://www.nytimes.com/2015/07/26/magazine/the-singular-mind-of-terry-tao.html">The Singular Mind of Terry Tao</a> - "<a href="http://thecolbertreport.cc.com/guests/terence-tao/6wtwlg/terence-tao">Imagine</a>, <a href="http://www.smh.com.au/good-weekend/terence-tao-the-mozart-of-maths-20150306-13fwcv.html">he said</a>, that <a href="http://bactra.org/notebooks/tsallis.html">someone awfully clever</a> could <a href="https://en.wikipedia.org/wiki/MONIAC_Computer">construct a machine</a> out of pure water. It would be built not of rods and gears but <a href="http://paulromer.net/why-information-grows/">from a pattern</a> of interacting currents." (<a href="https://twitter.com/Noahpinion/status/624664545995264000">via</a>) <blockquote>Tao has emerged as one of the field's great bridge-builders. At the time of his Fields Medal, he had already made discoveries with more than 30 different collaborators. Since then, he has also become a prolific math blogger with a decidedly non-Gaussian ebullience: He celebrates the work of others, shares favorite tricks, documents his progress and delights at any corrections that follow in the comments. He has organized cooperative online efforts to work on problems. "Terry is what a great 21st-century mathematician looks like," [<a href="http://www.metafilter.com/user/21049">mefi's</a> <a href="http://projects.metafilter.com/4308/How-Not-To-Be-Wrong">own</a>] Jordan Ellenberg, a mathematician at the University of Wisconsin, Madison, who has collaborated with Tao, told me. He is "part of a network, always communicating, always connecting what he is doing with what other people are doing."</blockquote>
<a href="https://plus.google.com/117663015413546257905/posts/EVYdMhSqtWu">also btw</a>...
<a href="https://www.quantamagazine.org/20150721-famous-fluid-equations-are-incomplete/">A 115-year effort to bridge the particle and fluid descriptions of nature has led mathematicians to an unexpected answer</a> - "The evidence suggests that truer equations of fluid dynamics can be found in a little-known, relatively unheralded theory developed by the Dutch mathematician and physicist <a href="https://en.wikipedia.org/wiki/Diederik_Korteweg">Diederik Korteweg</a> in the early 1900s. And yet, for some gases, even the Korteweg equations fall short, and there is no fluid picture at all." tag:metafilter.com,2015:site.151640Wed, 29 Jul 2015 00:34:29 -0800kliulessLoop - Pool on an elliptical table
http://www.metafilter.com/151559/Loop%2DPool%2Don%2Dan%2Delliptical%2Dtable
<a href="http://www.loop-the-game.com">Loop - Pool on an elliptical table.</a> <i>The ellipse has two significant points, called focuses, which have a remarkable geometrical property that is almost always explained using the example of an imaginary pool table.
"If a pool table is the shape of an ellipse, then a ball shot from one focus will always rebound to the other focus no matter in which direction the ball is shot."
That sounded interesting! Wouldn't it be fun, I thought, if I could build one of these imaginary tables?
<a href="http://www.theguardian.com/science/alexs-adventures-in-numberland/2015/jul/16/loop-new-cue-sport-pool-ellipse-elliptical">So I did</a>.</i> tag:metafilter.com,2015:site.151559Sun, 26 Jul 2015 13:54:00 -0800dng"Their little heads are exploding"
http://www.metafilter.com/150636/Their%2Dlittle%2Dheads%2Dare%2Dexploding
<a href="http://bit-player.org/2015/mrs-nguyens-prestidigitation">Mrs. Nguyen's Prestidigitation</a> <i>From a set of 1 through 9 playing cards, I draw five cards and get cards showing 8, 4, 2, 7, and 5. I ask my 6th graders to make a 3-digit number and a 2-digit number that would yield the greatest product...</i> and somehow we end up with lacing diagrams and Python. (<a href="http://fawnnguyen.com/multiplication-finding-the-greatest-product/">The original post on Fawn Nguyen's blog</a>) tag:metafilter.com,2015:site.150636Mon, 22 Jun 2015 06:45:32 -0800WolfdogTime with class! Let's Count!
http://www.metafilter.com/150420/Time%2Dwith%2Dclass%2DLets%2DCount
<a href="https://www.youtube.com/watch?v=Q4gTV4r0zRs">I want to demonstrate how amazing combinatorial explosion is! Please don't stop me. </a> An animation about numbers that get large. It has a happy ending and possibly even a moral. About those "latest algorithmic techniques" mentioned at the end: <a href="http://www-alg.ist.hokudai.ac.jp/~thomas/TCSTR/tcstr_13_64/tcstr_13_64.pdf">Efficient Computation of the Number of Paths in a Grid Graph with Minimal Perfect Hash Functions</a> [PDF] tag:metafilter.com,2015:site.150420Fri, 12 Jun 2015 11:44:44 -0800WolfdogHoTT Coq
http://www.metafilter.com/150345/HoTT%2DCoq
<a href="https://www.quantamagazine.org/20150519-will-computers-redefine-the-roots-of-math/">Univalent Foundations Redefines Mathematics</a> - "When a legendary mathematician found a mistake in his own work, he embarked on a computer-aided quest to eliminate human error. To succeed, he has to <a href="http://homotopytypetheory.org/book/">rewrite the century-old rules</a> underlying all of mathematics." (<a href="http://www.metafilter.com/126041/Computerized-Math-Formal-Proofs-andamp-Alternative-Logic">previously</a>) <a href="http://www.ams.org/notices/201309/rnoti-p1164.pdf">Voevodsky's Univalence Axiom in Homotopy Type Theory</a>
<blockquote>One of Voevodsky's goals (<a href="https://intelligence.org/2014/02/21/john-baez-on-research-tactics/">as we understand it</a>) is that, in a not too distant future, mathematicians will be able to verify the correctness of their own papers by working <a href="http://math.andrej.com/2014/01/13/univalent-foundations-subsume-classical-mathematics/">within the system of univalent foundations</a> formalized in a proof assistant and that doing so will become natural even for pure mathematicians (the same way that most mathematicians now typeset their own papers in TeX). We believe that this aspect of the <a href="http://ncatlab.org/nlab/show/univalence+axiom">univalent foundations program</a> distinguishes it from other approaches to foundations by providing a practical utility for the working mathematician.</blockquote>
-<a href="http://www.science4all.org/le-nguyen-hoang/type-theory/">Type Theory: A Modern Computable Paradigm for Math</a>
-<a href="http://www.science4all.org/le-nguyen-hoang/homotopy-type-theory/">Homotopy Type Theory and Higher Inductive Types</a>
-<a href="http://www.science4all.org/le-nguyen-hoang/univalence/">Univalent Foundations of Mathematics</a>
also btw...
-<a href="https://www.youtube.com/watch?v=QNznD9hMEh0">James Simons interview</a>
-<a href="https://mathematicswithoutapologies.wordpress.com/2015/05/13/univalent-foundations-no-comment/">Univalent Foundations: "No Comment."</a> (<a href="http://math-frolic.blogspot.com/2015/05/set-theory-type-theory-hott-univalent.html">via</a>)
-<a href="https://terrytao.wordpress.com/career-advice/there%E2%80%99s-more-to-mathematics-than-rigour-and-proofs/">There's more to mathematics than rigour and proofs</a> tag:metafilter.com,2015:site.150345Tue, 09 Jun 2015 22:40:35 -0800kliulessKeeping It Fair
http://www.metafilter.com/150322/Keeping%2DIt%2DFair
You're sitting down with your friends to play a boardgame, and you find yourself in a conundrum: how do you choose a first player? Sure, you could roll a standard die and take highest number, but what if there's a tie? That could take forever! Besides, wouldn't you rather be mathematically sure that everyone has a fair shot at each spot in the turn order?
<a href="http://www.ericharshbarger.org/dice/go_first_dice.html">Of course you would!</a> tag:metafilter.com,2015:site.150322Tue, 09 Jun 2015 11:16:45 -0800tocts3Blue1Brown: Reminding the world that math makes sense
http://www.metafilter.com/150242/3Blue1Brown%2DReminding%2Dthe%2Dworld%2Dthat%2Dmath%2Dmakes%2Dsense
<a href="https://www.youtube.com/watch?v=F_0yfvm0UoU">Understanding e to the pi i</a> - "<a href="http://www.3blue1brown.com/s/HowToThinkAboutExponentials.pdf">An intuitive explanation</a> as to why <a href="http://www.bbc.co.uk/programmes/b04hz49f" title="Melvyn Bragg and his guests discuss Euler's number, also known as e. First discovered in the seventeenth century by the Swiss mathematician Jacob Bernoulli when he was studying compound interest, e is now recognised as one of the most important and interesting numbers in mathematics. Roughly equal to 2.718, e is useful in studying many everyday situations, from personal savings to epidemics. It also features in Euler's Identity, sometimes described as the most beautiful equation ever written. With: Colva Roney-Dougal, Reader in Pure Mathematics at the University of St Andrews; June Barrow-Green, Senior Lecturer in the History of Maths at the Open University; and Vicky Neale, Whitehead Lecturer at the Mathematical Institute and Balliol College at the University of Oxford.">e</a> to the <a href="http://www.bbc.co.uk/programmes/p004y291" title="Melvyn Bragg and guests discuss the history of the most detailed number in nature. In the Bible's description of Solomon's temple it comes out as three, Archimedes calculated it to the equivalent of 14 decimal places and today's super computers have defined it with an extraordinary degree of accuracy to its first 1.4 trillion digits. It is the longest number in nature and we only need its first 32 figures to calculate the size of the known universe within the accuracy of one proton. We are talking about Pi, 3.14159 etc, the number which describes the ratio of a circle's diameter to its circumference. How has something so commonplace in nature been such a challenge for maths? And what does the oddly ubiquitous nature of Pi tell us about the hidden complexities of our world? With: Robert Kaplan, co-founder of the Maths Circle at Harvard University; Eleanor Robson, Lecturer in the Department of History and Philosophy of Science at Cambridge University; and Ian Stewart, Professor of Mathematics at the University of Warwick.">pi</a> <a href="http://www.bbc.co.uk/programmes/b00tt6b2" title="Melvyn Bragg and his guests discuss imaginary numbers. In the sixteenth century, a group of mathematicians in Bologna found a solution to a problem that had puzzled generations before them: a completely new kind of number. For more than a century this discovery was greeted with such scepticism that the great French thinker Rene Descartes dismissed it as an 'imaginary' number. The name stuck - but so did the numbers. Long dismissed as useless or even fictitious, the imaginary number i and its properties were first explored seriously in the eighteenth century. Today the imaginary numbers are in daily use by engineers, and are vital to our understanding of phenomena including electricity and radio waves. With: Marcus du Sautoy, Professor of Mathematics at Oxford University; Ian Stewart, Emeritus Professor of Mathematics at the University of Warwick; and Caroline Series, Professor of Mathematics at the University of Warwick.">i</a> equals -1 <a href="https://www.youtube.com/watch?v=1rVHLZm5Aho">without a hint</a> of calculus. This is <a href="https://www.youtube.com/watch?v=zLzLxVeqdQg">not your usual</a> Taylor series nonsense." (<a href="https://twitter.com/stevenstrogatz/status/604653212214292481" title="''A star is born.''">via</a> <a href="https://twitter.com/Noahpinion/status/604679198259580928" title="''Best geek video I've seen all week.''">via</a>; <a href="http://www.reddit.com/r/math/comments/2xzzk0/nontaylorseries_explanation_for_eulers_formula/">reddit</a>; <a href="http://www.metafilter.com/89918/Math-is-beautiful">previously</a>) <a href="https://www.youtube.com/channel/UCYO_jab_esuFRV4b17AJtAw">More videos from 3Blue1Brown</a>: "<a href="http://www.3blue1brown.com/">3Blue1Brown</a> is some combination of math and entertainment, depending on your disposition. The goal is for explanations to be <a href="http://www.3blue1brown.com/about/" title="''When the tool I am building for animations becomes something besides a jumble of Python and Duct tape, I'll make it publicly available so that anyone can use it to easily illustrate their own explanations.''">driven by animations</a>, for difficult problems to be made simple with changes in perspective, and for philosophizing to be limited to the brevity and semantic constraints of silly poetry. Basically, math sits in <a href="https://plus.google.com/117663015413546257905/posts/QAhMH35LThk">an ivory tower it built itself out of</a> jargon and impossibly long sequences of (seemingly) logical steps, and I would like to take it out for a walk to <a href="http://wordplay.blogs.nytimes.com/2015/03/09/%CF%80/">meet everyone</a>." tag:metafilter.com,2015:site.150242Sat, 06 Jun 2015 11:42:18 -0800kliulessThe toilet seat: up or down?
http://www.metafilter.com/150184/The%2Dtoilet%2Dseat%2Dup%2Dor%2Ddown
"I amused myself for over a year thinking about the impacts of different toilet seat administration policies and how to measure them – doing calculations in my head, considering ratios of Standing events to Sitting events, and I slowly began to understand some of the specific differences in the basic policies that know to be administered most often. Finally, I decided to perform a probabilistic analysis". <a href="http://everything2.com/user/DieuEtMonDroit/writeups/Essential+Toilet+Seat+Analytics">Essential Toilet Seat Analytics</a>. tag:metafilter.com,2015:site.150184Thu, 04 Jun 2015 06:02:28 -0800paleyellowwithorangeBut is it fools' gold?
http://www.metafilter.com/149937/But%2Dis%2Dit%2Dfools%2Dgold
<a href="http://en.wikipedia.org/wiki/Golden_ratio">The Golden Ratio</a> or the Golden Mean is touted as universal principle of mathematics, aesthetics, and architecture. <a href="http://io9.com/5985588/15-uncanny-examples-of-the-golden-ratio-in-nature">Its natural occurrences</a> are often associated with beauty and health. But naysayers think the Golden Ratio is <a href="http://www.fastcodesign.com/3044877/the-golden-ratio-designs-biggest-myth">myth or even a scam</a>. Golden ratio <a href="http://www.metafilter.com/97143/Schrdingers-Ratio">previously</a> and <a href="http://www.metafilter.com/69850/golden-ratio-in-the-amen-break">previouslier</a>. tag:metafilter.com,2015:site.149937Tue, 26 May 2015 13:56:41 -0800immlassThe roads ahead are long and winding...
http://www.metafilter.com/149311/The%2Droads%2Dahead%2Dare%2Dlong%2Dand%2Dwinding
<a href="http://www.theincrediblecompany.com/try-alcazar" title="In-browser, playable version">Alcazar is a neat little path-finding logic game.</a> There are also <a href="http://www.theincrediblecompany.com/alcazar-1/" title="pencil and paper is best">printable puzzles, strategy tips and metapuzzles</a> to be had. The author has a two-part post (<a href="http://edderiofer.blogspot.com/2014/11/on-subject-of-parity-when-we-refer-to.html">Part 1</a>,<a href="http://edderiofer.blogspot.com/2014/11/parity-in-alcazar-and-other-such-loop.html"> Part 2</a>) on the use of parity in the puzzle, and another author writes briefly about <a href="http://ravensoft.tumblr.com/post/105861925602/alcazar-is-an-amazing-puzzle-game-that-can-teach">programming and problem-solving skills.</a> tag:metafilter.com,2015:site.149311Sat, 02 May 2015 05:07:38 -0800WolfdogWhen Is Cheryl's Birthday?
http://www.metafilter.com/148823/When%2DIs%2DCheryls%2DBirthday
<a href="http://www.nytimes.com/2015/04/15/science/a-math-problem-from-singapore-goes-viral-when-is-cheryls-birthday.html">How would you fare in a room full of adolescent math competitors in Singapore?</a> <a href="http://www.nytimes.com/2015/04/15/science/answer-to-the-singapore-math-problem-cheryl-birthday.html">(Answer and Explanation)</a> tag:metafilter.com,2015:site.148823Tue, 14 Apr 2015 10:32:26 -0800roomthreeseventeenAt FedEx, we considered that problem for about three seconds
http://www.metafilter.com/148403/At%2DFedEx%2Dwe%2Dconsidered%2Dthat%2Dproblem%2Dfor%2Dabout%2Dthree%2Dseconds
<a href="http://arxiv.org/abs/1410.6723">The FedEx Problem</a>: In which the author uses Euclidean geometry to determine, based on the US Population, the idea location for FedEx's giant hub in Memphis (spoiler: It's about 315 miles off).
Then, <a href="https://news.ycombinator.com/item?id=9281466"> the guy who wrote the original scheduling software for FedEx shows up at Hacker News with the real story</a>, and some war stories about the founding of FedEx: <blockquote>
You mean the time FedEx towed one of its airplanes to the other side of a hanger to keep it out of sight of a sheriff with a lock and a chain sent to lock down the airplane as collateral for unpaid fuel bills?
You mean the time two barrels of liquids in the shop got confused and maybe some bad stuff got pumped by mistake into the hydraulic systems of some unknown number of airplanes?
The time Fred, in the Dassault DA-20 Fanjet Falcon he saved as the company executive jet, was flying, kept finding airports closed, kept flying, and finally landed but flamed out from no fuel on the runway?
</blockquote> tag:metafilter.com,2015:site.148403Sat, 28 Mar 2015 19:45:06 -0800joshwaI got cosines / on a cloudy day
http://www.metafilter.com/147940/I%2Dgot%2Dcosines%2Don%2Da%2Dcloudy%2Dday
The goofy, lofi math music of Al G. Bra and friends: <a href="https://www.youtube.com/watch?v=yCe1G0LuHKs">Pi Girl</a> — <a href="https://www.youtube.com/watch?v=Qs464DqnPTo">Say That Funky Number, Math Guy</a> — Mathonna's <a href="https://www.youtube.com/watch?v=pS8b2ZHz4yw">Mathematical Girl</a>. Plus: a trailer for math thriller <a href="https://www.youtube.com/watch?v=qRiaSzfSBsU">Live and Let Pi</a>, featuring the title track by Paul DesCartney. tag:metafilter.com,2015:site.147940Sat, 14 Mar 2015 11:50:26 -0800cortexCelebrate Vi day.
http://www.metafilter.com/147933/Celebrate%2DVi%2Dday
<a href="https://www.youtube.com/watch?v=2E9m6yDEIj8">Vi Hart rants about what day today is.</a> <a href="http://www.metafilter.com/59428/Heres-a-slice-of-pi">(previous</a> <a href="http://www.metafilter.com/24292/Happy-Pi-Day">celebrations)</a> tag:metafilter.com,2015:site.147933Sat, 14 Mar 2015 06:53:20 -0800Obscure Reference"You blew it, and you blew it big!"
http://www.metafilter.com/147228/You%2Dblew%2Dit%2Dand%2Dyou%2Dblew%2Dit%2Dbig
<a href="http://priceonomics.com/the-time-everyone-corrected-the-worlds-smartest/">The Time Everyone "Corrected" the World's Smartest Woman</a> tag:metafilter.com,2015:site.147228Fri, 20 Feb 2015 18:05:13 -0800brundleflyThey evolved. They rebelled. There are many copies. And they have a plan
http://www.metafilter.com/147082/They%2Devolved%2DThey%2Drebelled%2DThere%2Dare%2Dmany%2Dcopies%2DAnd%2Dthey%2Dhave%2Da%2Dplan
The Philadelphia 76ers are currently the worst team in basketball, but in terms of expected value, they are <a href="http://espn.go.com/nba/story/_/id/12318808/the-philadelphia-76ers-radical-guide-winning">crushing</a>. This <a href="http://philadelphia.cbslocal.com/2015/02/15/boyd-why-winning-will-matter-to-the-sixers-in-2015-16/">analytics-based approach to tearing down and rebuilding a team</a> is spearheaded by former Rockets VP <a href="http://thesixersense.com/2015/01/24/sixers-gm-sam-hinkie-teaches-life-lessons/">Sam Hinkie</a>. His plan is <a href="http://www.si.com/nba/2014/11/20/76ers-tanking-building-sam-hinkie-michael-carter-williams">not</a> <a href="http://www.philly.com/philly/sports/sixers/20150210_Sixers_have_nobody_but_Hinkie_to_blame.html">popular</a> in <a href="http://www.philly.com/philly/sports/sixers/20150215_Expect_more_tank_maneuvers_from_Hinkie.html">some places</a> (<a href="http://www.libertyballers.com/2015/2/11/8016823/the-sixers-like-their-mascot-lack-substance">guess which places!</a>) tag:metafilter.com,2015:site.147082Mon, 16 Feb 2015 10:08:38 -0800Potomac Avenue"Where is the door?"
http://www.metafilter.com/146501/Where%2Dis%2Dthe%2Ddoor
<a href="http://www.newyorker.com/magazine/2015/02/02/pursuit-beauty">Profile: Breaking down the problem of bound gaps [New Yorker]:</a> After graduating with a Ph.D. in algebraic geometry from Purdue in 1991, Yiting Zhang kept the books for a friend's Subway franchise and found other odd jobs before taking up a part-time calculus teaching position at the University of New Hampshire in 1999.
<blockquote>"For years, I didn't really keep up my dream in mathematics," he said.<br><br>
"You must have been unhappy."<br><br>
He shrugged. "My life is not always easy," he said.</blockquote>
He published one paper in 2001. Then, in 2013, he submitted "<a href="http://ir.nmu.org.ua/bitstream/handle/123456789/23842/c18a29be5bb5b86f1bbeaa8616a7fe42.pdf?sequence=1">Bounded Gaps Between Primes</a>" to <i>Annals of Mathematics</i>, one of the most prestigious journals in the field, which contained a proof for a finite bound within which there exist an infinite number of pairs of primes. It was a stunning mathematical breakthrough. An excerpt on the many interesting types of primes:
<blockquote>Prime numbers have so many novel qualities, and are so enigmatic, that mathematicians have grown fetishistic about them. Twin primes are two apart. Cousin primes are four apart, sexy primes are six apart, and neighbor primes are adjacent at some greater remove. From "Prime Curios!," by Chris Caldwell and G. L. Honaker, Jr., I know that an absolute prime is prime regardless of how its digits are arranged: 199; 919; 991. A beastly prime has 666 in the center. The number 700666007 is a beastly palindromic prime, since it reads the same forward and backward. A circular prime is prime through all its cycles or formulations: 1193, 1931, 9311, 3119. There are Cuban primes, Cullen primes, and curved-digit primes, which have only curved numerals—0, 6, 8, and 9. A prime from which you can remove numbers and still have a prime is a deletable prime, such as 1987. An emirp is prime even when you reverse it: 389, 983. Gigantic primes have more than ten thousand digits, and holey primes have only digits with holes (0, 4, 6, 8, and 9). There are Mersenne primes; minimal primes; naughty primes, which are made mostly from zeros (naughts); ordinary primes; Pierpont primes; plateau primes, which have the same interior numbers and smaller numbers on the ends, such as 1777771; snowball primes, which are prime even if you haven't finished writing all the digits, like 73939133; Titanic primes; Wagstaff primes; Wall-Sun-Sun primes; Wolstenholme primes; Woodall primes; and Yarborough primes, which have neither a 0 nor a 1.</blockquote>
<a href="http://www.metafilter.com/128049/Quite-a-day-for-analytic-number-theory">Previously on Metafilter.</a> tag:metafilter.com,2015:site.146501Tue, 27 Jan 2015 08:29:12 -0800ilicetArithmeticfilter
http://www.metafilter.com/146474/Arithmeticfilter
<a href="http://www.momonix.com/calc/">Nothing but an endless supply of mental arithmetic problems.</a> Five levels of difficulty, from "10 - 6" to "√370881." You can find slightly more granular training <a href="http://windhoff.net/mental_arithmetic/#Addition">here</a>. See <a href="http://en.wikipedia.org/wiki/Mental_calculation">Wikipedia</a> for a survey of mental methods, or read <a href="http://www-history.mcs.st-and.ac.uk/HistTopics/Mental_arithmetic.html">A.C. Aitken's</a> <a href="http://stepanov.lk.net/mnemo/aitkene.html">explanation</a> of his Art of Calculation. tag:metafilter.com,2015:site.146474Mon, 26 Jan 2015 08:41:53 -0800IridicStephen Hawking is not part of the solution, he is part of the problem.
http://www.metafilter.com/146251/Stephen%2DHawking%2Dis%2Dnot%2Dpart%2Dof%2Dthe%2Dsolution%2Dhe%2Dis%2Dpart%2Dof%2Dthe%2Dproblem
<a href="http://bryanappleyard.com/physics-superstitions-and-allegories/">The equations on the blackboard may be the problem. Mathematics, the language of science, may have misled the scientists.</a> "The idea," says physicist Lee Smolin, "that the truth about nature can be wrestled from pure thought through mathematics is overdone... The idea that mathematics is prophetic and that mathematical structure and beauty are a clue to how nature ultimately works is just wrong." Lee Smolin thinks that <a href="http://www.theawl.com/2014/05/who-will-rescue-time-from-the-physicists">time is real</a>. If that strikes you as unusual, you haven't spent much time with theoretical physicists, who tend to think that the passing of time is either an emergent property of the universe, or, perhaps, an illusion.
And in an <a href="http://www.nature.com/news/scientific-method-defend-the-integrity-of-physics-1.16535">essay</a> published last week in the science journal Nature astrophysicists George Ellis and Joe Silk say that the wild claims of theoretical physicists are threatening the authority of science itself. tag:metafilter.com,2015:site.146251Mon, 19 Jan 2015 07:32:15 -0800leotrotskyThanks, Common Core.
http://www.metafilter.com/146159/Thanks%2DCommon%2DCore
<a href="http://scienceblogs.com/principles/2015/01/15/thanks-common-core/">Thanks, Common Core.</a> Physics blogger Chad Orzel writes about the way kids do math now. (Spoiler: he likes it.) Other math Common Core links:
<a href="http://mathbabe.org/2014/02/11/interview-with-bill-mccallum-lead-writer-of-math-common-core/">Interview with mathematician Bill McCallum</a>, leader of the working group that prepared the math Common Core standards.
<a href="http://www.ams.org/notices/201401/rnoti-p24.pdf">Conversations with Euclid</a>: an alternate pedagogical approach to the Common Core geometry standards.
The Common Core standards increase the emphasis on statistical and probabilistic ideas, even in the earliest grades. <a href="http://www.amstat.org/education/stn/pdfs/STN79.pdf">Statistics Teacher Network</a> walks you through the content. tag:metafilter.com,2015:site.146159Thu, 15 Jan 2015 16:28:08 -0800escabecheNo Pentagons
http://www.metafilter.com/146120/No%2DPentagons
<a href="http://gruze.org/tilings/">Imperfect Congruence</a> - <i>It is a curious fact that no edge-to-edge regular polygon tiling of the plane can include a pentagon ... This website explains the basic mathematics of a particular class of tilings of the plane, those involving regular polygons such as triangles or hexagons. As will be shown, certain combinations of regular polygons cannot be extended to a full tiling of the plane without involving additional shapes, such as rhombs. The site contains some commentary on Renaissance research on this subject carried out by two renowned figures, the mathematician-astronomer Johannes Kepler and the artist Albrecht Dürer.</i> Bonus link: <a href="http://plus.maths.org/content/trouble-five">The Trouble with Five</a> (by Craig Kaplan, at Plus magazine - a short, tantalizing article suitable for school-age readers...) tag:metafilter.com,2015:site.146120Wed, 14 Jan 2015 11:58:51 -0800WolfdogAdditive-noise methods
http://www.metafilter.com/146055/Additive%2Dnoise%2Dmethods
<a href="http://qz.com/316826/mathematicians-have-finally-figured-out-how-to-tell-correlation-from-causation/">How to tell correlation from causation</a> - "The <a href="https://medium.com/the-physics-arxiv-blog/cause-and-effect-the-revolutionary-new-statistical-test-that-can-tease-them-apart-ed84a988e">basic intuition</a> behind the <a href="http://arxiv.org/abs/1412.3773">method demonstrated</a> by Prof. Joris Mooij of the University of Amsterdam and his co-authors is surprisingly simple: if one event influences another, then the random noise in the causing event will be reflected in the affected event." tag:metafilter.com,2015:site.146055Mon, 12 Jan 2015 19:42:22 -0800kliulessFake 3D Until You Make 3D
http://www.metafilter.com/145968/Fake%2D3D%2DUntil%2DYou%2DMake%2D3D
Louis Gorenfeld lovingly explores <a href="http://www.extentofthejam.com/pseudo/">the mathematics and techniques</a> behind early, pseudo-3D games. <blockquote>Now that every system can produce graphics consisting of a zillion polygons on the fly, why would you want to do a road the old way? Aren't polygons the exact same thing, only better? Well, no. It's true that polygons lead to less distortion, but it is the warping in these old engines that give the surreal, exhillerating sense of speed found in many pre-polygon games. Think of the view as being controlled by a camera. As you take a curve in a game which uses one of these engines, it seems to look around the curve. Then, as the road straightens, the view straightens. As you go over a blind curve, the camera would seem to peer down over the ridge. And, since these games do not use a traditional track format with perfect spatial relationships, it is possible to effortlessly create tracks large enough that the player can go at ridiculous speeds-- without worrying about an object appearing on the track faster than the player can possibly react since the physical reality of the game can easily be tailored to the gameplay style.</blockquote> tag:metafilter.com,2015:site.145968Fri, 09 Jan 2015 05:43:35 -0800gilrainSacred Typography
http://www.metafilter.com/145943/Sacred%2DTypography
<a href="http://www.lindaalila.com/lettering-around">Lettering Around</a> :mandalas for all you font-fetishes out there. From <a href="http://www.lindaalila.com/">Linda Alila</a>. tag:metafilter.com,2015:site.145943Thu, 08 Jan 2015 09:25:16 -0800es_de_bah"Science is when you think a lot."
http://www.metafilter.com/145704/Science%2Dis%2Dwhen%2Dyou%2Dthink%2Da%2Dlot
<a href="http://www.ams.org/bookstore/pspdf/mcl-5-prev.pdf">Two enjoyable chapters</a> [PDF, 33 pages] from the book <i><a href="http://www.ams.org/bookstore-getitem/item=MCL-5">Math from Three to Seven</a>: The Story of a Mathematical Circle for Preschoolers.</i> "This book does not purport to show you how to create precocious high achievers. It is just one person's story about things he tried with a half-dozen young children." tag:metafilter.com,2014:site.145704Mon, 29 Dec 2014 10:43:09 -0800Wolfdog