tag:blogger.com,1999:blog-148441342017-09-17T06:27:18.759-04:00Mathematically RelatedBassam Abdul-Bakihttps://plus.google.com/105978943918433648626noreply@blogger.comBlogger275125tag:blogger.com,1999:blog-14844134.post-51025374397655154082017-08-24T20:10:00.000-04:002017-08-24T20:10:28.373-04:00Mathematical Secrets of Ancient Tablet Unlocked After Nearly a Century of StudyDating from 1,000 years before Pythagoras’s theorem, the Babylonian clay tablet is a trigonometric table more accurate than any today, say researchers.<br/><br/><img border="0" src="https://4.bp.blogspot.com/-Fb7W5OMecGQ/WZ9qVMZSVQI/AAAAAAAAiHQ/3G7bFTbrmJoyMuYNbbl6n9jOpiggi4_jACLcBGAs/s320/1600.bmp" title="Mathematician Dr Daniel Mansfield with the Plimpton 322 tablet. Photograph: UNSW/Andrew Kelly." width="320" height="192" data-original-width="1600" data-original-height="960" /><br/><br/>At least 1,000 years before the Greek mathematician Pythagoras looked at a right angled triangle and worked out that the square of the longest side is always equal to the sum of the squares of the other two, an unknown Babylonian genius took a clay tablet and a reed pen and marked out not just the same theorem, but a series of trigonometry tables which scientists claim are more accurate than any available today.<br/><br/>The 3,700-year-old broken clay tablet survives in the collections of Columbia University, and scientists now believe they have cracked its secrets.<br/><br/>Click <a href="https://www.theguardian.com/science/2017/aug/24/mathematical-secrets-of-ancient-tablet-unlocked-after-nearly-a-century-of-study#img-1">here</a> for more information.Bassam Abdul-Bakihttps://plus.google.com/105978943918433648626noreply@blogger.com0tag:blogger.com,1999:blog-14844134.post-30426627204270505322017-08-17T19:16:00.000-04:002017-08-17T19:16:20.618-04:00The Formula That Plots (Almost) EverythingHold onto your logic hats! In this article we're going to explore one of the most amazing formulas in maths: Tupper's self-referential formula.<br/><br/>The protagonist of our story is the following inequality:<br/><br/>`1/2<\floor{mod(\floor{\frac{y}{17}}2^(-17\floor{x}-mod(\floor{y},17)),2))`<br/><br/>The plot works by either coloring a square or not coloring it: a square with coordinates (x, y) is colored if the inequality is true for x and y. If not the square is left blank.<br/><br/>If you plot the plot for many values of and , the outcome is the following:<br/><br/><img border="0" src="https://4.bp.blogspot.com/-agxOMxg9x28/WZYi4ZiRo1I/AAAAAAAAiG0/lyktIoRsQaY8GyJvD4K83htgZz3q0Ne8ACLcBGAs/s320/Monster.png" width="320" height="72" data-original-width="600" data-original-height="135" /><br/><br/>I'll let that sink in a moment. No, your eyes are not deceiving you, the formula plots a bitmap picture of itself! Hence the name Tupper's self-referential formula (though Tupper never called this function that himself in his 2001 paper).<br/><br/>There is one missing detail, however. I haven’t told you the value of the number N on the y-axis.<br/><br/>Click <a href="https://plus.maths.org/content/formula-plots-almost-everything">here</a> to read more information and see where Euler's equation appears.Bassam Abdul-Bakihttps://plus.google.com/105978943918433648626noreply@blogger.com0tag:blogger.com,1999:blog-14844134.post-53529001086379348542017-07-16T08:23:00.000-04:002017-07-16T08:23:35.369-04:00Math 'Genius' Maryam Mirzakhani Dies At Age 40 <img border="0" src="https://1.bp.blogspot.com/-Q2qnv3dNbl0/WWtaOHHoJ4I/AAAAAAAAiFc/4Jvxy3p4KL0p9cdImW6WU-Bqdc0PQ2cfgCLcBGAs/s320/BBEs0lH.jpg" width="320" height="210" data-original-width="728" data-original-height="478" /><br/><br/>Maryam Mirzakhani, an Iranian-born mathematician who was the first woman to win the coveted Fields Medal, died Saturday in a US hospital after a battle with cancer. She was 40.<br/><br/>Click <a href="http://www.msn.com/en-us/news/world/maths-genius-maryam-mirzakhani-dies-aged-40/ar-BBErHkN">here</a> for more information.Bassam Abdul-Bakihttps://plus.google.com/105978943918433648626noreply@blogger.com0tag:blogger.com,1999:blog-14844134.post-69262565215759528112017-06-30T09:25:00.000-04:002017-06-30T09:25:14.424-04:00Mathematicians Deliver Formal Proof Of Kepler ConjectureA team led by mathematician Thomas Hales has delivered a formal proof of the Kepler Conjecture, which is the definitive resolution of a problem that had gone unsolved for more than 300 years. The paper is now available online through Forum of Mathematics, Pi, an open access journal published by Cambridge University Press. This paper not only settles a centuries-old mathematical problem, but is also a major advance in computer verification of complex mathematical proofs.<br/><br/>The Kepler Conjecture was a famous problem in discrete geometry, which asked for the most efficient way to cram spheres into a given space. The answer, while not difficult to guess (it's exactly how oranges are stacked in a supermarket), had been remarkably difficult to prove. Hales and Ferguson originally announced a proof in 1998, but the solution was so long and complicated that a team of a dozen referees spent years working on checking it before giving up..<br/><br/>Click <a href="https://www.sciencedaily.com/releases/2017/06/170616102155.htm">here</a> for more information.Bassam Abdul-Bakihttps://plus.google.com/105978943918433648626noreply@blogger.com0tag:blogger.com,1999:blog-14844134.post-37040210109323584882017-06-22T12:12:00.000-04:002017-06-22T12:12:28.572-04:00When Mathematicians Get Married<img border="0" src="https://2.bp.blogspot.com/-QHFs2jGNFPs/WUvr7JvsywI/AAAAAAAAh04/lYKOX1KHtI8J0ANVjhsuUkzvxpro8cejgCLcBGAs/s1600/18814174_10155390567384894_2091140213281245428_n.jpg" data-original-width="670" data-original-height="386" title="Mathematician Rings" />Bassam Abdul-Bakihttps://plus.google.com/105978943918433648626noreply@blogger.com0tag:blogger.com,1999:blog-14844134.post-7556381476845323382017-05-22T19:48:00.001-04:002017-05-22T19:48:36.118-04:00Eccentric French maths genius's 'scribblings' go onlineNearly 18,000 pages of notes by eccentric French maths genius Alexandre Grothendieck were posted online Wednesday by his alma mater, Montpellier University in southern France.<br/><br/>Grothendieck, who died aged 86 in 2014, "revolutionised an entire area of mathematics, algebraic geometry," said Jean-Michel Marin, head of an institute that bears the mathematician's name at the university.<br/><br/>Click <a href="https://phys.org/news/2017-05-eccentric-french-maths-genius-online.html">here</a> for more information.Bassam Abdul-Bakihttps://plus.google.com/105978943918433648626noreply@blogger.com0tag:blogger.com,1999:blog-14844134.post-3821164285810674642017-05-22T19:45:00.000-04:002017-05-22T19:45:04.687-04:00Math Champion Wins With Answer About Pecking ChicksA 13-year-old boy from Texas won a national math competition on Monday with an answer rooted in probabilities — and a dash of farming.<br/><br/>The boy, Luke Robitaille, took less than a second to buzz in at the Raytheon Mathcounts National Competition with the correct answer.<br/><br/>The question: In a barn, 100 chicks sit peacefully in a circle. Suddenly, each chick randomly pecks the chick immediately to its left or right. What is the expected number of unpecked chicks?<br/><br/>Click <a href="https://www.nytimes.com/2017/05/15/us/math-counts-national-competition.html?_r=0">here</a> for more information.Bassam Abdul-Bakihttps://plus.google.com/105978943918433648626noreply@blogger.com0tag:blogger.com,1999:blog-14844134.post-24644900835530113972017-03-26T16:17:00.000-04:002017-03-26T16:18:05.525-04:00New Twist on Sofa Problem that Stumped Mathematicians and Furniture Movers<a href="https://1.bp.blogspot.com/--x0flPSWLaE/WNghsMUKsEI/AAAAAAAAhuI/FLM-2XiCX3ogyEIo2pItQVPHgJbaUfeEQCLcB/s1600/newtwistonso.gif" imageanchor="1" ><img border="0" src="https://1.bp.blogspot.com/--x0flPSWLaE/WNghsMUKsEI/AAAAAAAAhuI/FLM-2XiCX3ogyEIo2pItQVPHgJbaUfeEQCLcB/s320/newtwistonso.gif" width="320" height="188" /></a><br />The Moving Sofa problem asks, what is the largest shape that can move around a right-angled turn? UC Davis mathematician Dan Romik has extended this problem to a hallway with two turns, and shows that a 'bikini top' shaped sofa is the largest so far found that can move down such a hallway.<br /><br />Click <a href="https://phys.org/news/2017-03-sofa-problem-stumped-mathematicians-furniture.html">here</a> for more information.Bassam Abdul-Bakihttps://plus.google.com/105978943918433648626noreply@blogger.com0tag:blogger.com,1999:blog-14844134.post-88257562810801642172017-03-26T16:05:00.000-04:002017-03-26T16:05:29.508-04:00French Mathematician Yves Meyer Wins Top Prize for 'Wavelet Theory'A French mathematician known for his pioneering work on a theory used for applications ranging from image compression to the detection of gravitational waves from the merging of black holes has earned one of the world's top prizes in mathematics.<br /><br />Yves Meyer, a professor emeritus in mathematics at the École normale supérieure Paris-Saclay in France, will receive the Abel Prize, the Norwegian Academy of Sciences and Letters (which awards the prize) announced today (March 21) in Oslo. The prize, which comes with a cash award of 6 million Norwegian krone ($710,000), will be bestowed by King Harald V of Norway on May 23.<br /><br />Meyer was honored largely "for his pivotal role in the development of the mathematical theory of wavelets," the academy said. His work on wavelets began in the mid-1980s.<br /><br />Click <a href="http://www.space.com/36163-mathematician-yves-meyer-wins-abel-prize.html">here</a> for more information.Bassam Abdul-Bakihttps://plus.google.com/105978943918433648626noreply@blogger.com0tag:blogger.com,1999:blog-14844134.post-58236338512207492092017-01-19T09:40:00.000-05:002017-01-19T09:40:56.785-05:00If the Moon Were Only 1 PixelA tediously accurate <a href="http://joshworth.com/dev/pixelspace/pixelspace_solarsystem.html">map of the solar system</a>.Bassam Abdul-Bakihttps://plus.google.com/105978943918433648626noreply@blogger.com0tag:blogger.com,1999:blog-14844134.post-74582134768392569882016-07-30T11:11:00.000-04:002017-01-07T16:44:24.511-05:00CalcaI found this little gem of a tool called <a href="http://calca.io/">Calca</a>. It is a text editor symbolic calculator.Bassam Abdul-Bakihttps://plus.google.com/105978943918433648626noreply@blogger.com0tag:blogger.com,1999:blog-14844134.post-76212912177998105872016-06-06T19:06:00.000-04:002016-06-06T19:09:32.110-04:00Two-hundred-terabyte maths proof is largest everA computer cracks the Boolean Pythagorean triples problem — but is it really maths?<br/><br/>Three computer scientists have announced the largest-ever mathematics proof: a file that comes in at a whopping 200 terabytes, roughly equivalent to all the digitized text held by the US Library of Congress. The researchers have created a 68-gigabyte compressed version of their solution — which would allow anyone with about 30,000 hours of spare processor time to download, reconstruct and verify it — but a human could never hope to read through it.<br/><br/>Click <a href="http://www.nature.com/news/two-hundred-terabyte-maths-proof-is-largest-ever-1.19990">here</a> for more information.Bassam Abdul-Bakihttps://plus.google.com/105978943918433648626noreply@blogger.com0tag:blogger.com,1999:blog-14844134.post-60524697801219620992016-03-26T14:44:00.000-04:002016-03-26T14:45:54.321-04:00Fermat's Last Theorem Prize Approved It was a problem that had baffled mathematicians for centuries -- until British professor Andrew Wiles set his mind to it.<br/><br/>"There are no whole number solutions to the equation x<sup>n</sup> + y<sup>n</sup> = z<sup>n</sup> when n is greater than 2."<br/><br/>Otherwise known as "Fermat's Last Theorem," this equation was first posed by French mathematician Pierre de Fermat in 1637, and had stumped the world's brightest minds for more than 300 years.<br/><br/>In the 1990s, Oxford professor Andrew Wiles finally solved the problem, and this week was awarded the hugely prestigious 2016 Abel Prize -- including a $700,000 windfall.<br/><br/>Click <a href="http://edition.cnn.com/2016/03/16/europe/fermats-last-theorem-solved-math-abel-prize/index.html">here</a> for more information.Bassam Abdul-Bakihttps://plus.google.com/105978943918433648626noreply@blogger.com0tag:blogger.com,1999:blog-14844134.post-58941967997421599082016-03-16T06:42:00.000-04:002016-03-16T06:49:14.004-04:00Mathematicians Discover Prime ConspiracyTwo mathematicians have uncovered a simple, previously unnoticed property of prime numbers — those numbers that are divisible only by 1 and themselves. Prime numbers, it seems, have decided preferences about the final digits of the primes that immediately follow them.<br/><br/>Among the first billion prime numbers, for instance, a prime ending in 9 is almost 65 percent more likely to be followed by a prime ending in 1 than another prime ending in 9.<br/><br/>Click <a href="https://www.quantamagazine.org/20160313-mathematicians-discover-prime-conspiracy/?utm_source=Quanta+Magazine&utm_campaign=805b1f323f-Quanta_Newsletter_Feb_27_2015&utm_medium=email&utm_term=0_f0cb61321c-805b1f323f-389496049">here</a> for more information.Bassam Abdul-Bakihttps://plus.google.com/105978943918433648626noreply@blogger.com0tag:blogger.com,1999:blog-14844134.post-26704075333076000882016-01-26T14:25:00.001-05:002016-01-26T14:25:12.384-05:0049th Known Mersenne Prime Found!On January 7th, GIMPS celebrated its 20th anniversary with the discovery of the largest known prime number, 2<sup>74,207,281</sup>-1. Curtis Cooper, one of many thousands of GIMPS volunteers, used one of his university's computers to make the find.<BR/><BR/>Click <a href="http://www.mersenne.org/primes/?press=M74207281">here</a> for more information. Bassam Abdul-Bakihttps://plus.google.com/105978943918433648626noreply@blogger.com0tag:blogger.com,1999:blog-14844134.post-67108330663221351162015-08-17T20:59:00.000-04:002015-08-17T20:59:25.230-04:00With Discovery, 3 Scientists Chip Away At An Unsolvable Math Problem<img border="0" src="http://3.bp.blogspot.com/--lH85mM_EPE/VdKBPiXKM_I/AAAAAAAAeY8/P7MnKhkOc4E/s320/pentagontilings15.svg-copy_custom-ac24ad7176f459ff08d3816abc7fbffdcfdb60a7-s800-c85.jpg" title="pentagon tiling"/><br/>There are now 15 known convex pentagons, or nonregular pentagons with the angles pointing outward, that can "tile the plane."<br/><br/>Click <a href="http://www.npr.org/sections/thetwo-way/2015/08/14/432015615/with-discovery-3-scientists-chip-away-at-an-unsolvable-math-problem?utm_source=facebook.com&utm_medium=social&utm_campaign=npr&utm_term=nprnews&utm_content=20150814">here</a> for more information.Bassam Abdul-Bakihttps://plus.google.com/105978943918433648626noreply@blogger.com0tag:blogger.com,1999:blog-14844134.post-28860741489306592702014-08-17T15:05:00.000-04:002015-08-17T20:56:27.284-04:002014 Fields Medal and Nevanlinna Prize Winners Announced<div style="clear: both; text-align: left;"><img border="0" src="http://3.bp.blogspot.com/-3S5JFaCpLdg/VdKCStlDmbI/AAAAAAAAeZE/zP0yYqFKxQE/s1600/n-MARYAM-MIRZAKHANI-large570.jpg" title="Maryam Mirzakhani"/></div>Maryam Mirzakhani became the first woman to be awarded the Fields Medal for her work connecting topology, geometry and dynamical systems.<br/><br/>Click <a href="http://www.simonsfoundation.org/quanta/20140812-a-tenacious-explorer-of-abstract-surfaces/">here</a> for more information.Bassam Abdul-Bakihttps://plus.google.com/105978943918433648626noreply@blogger.com0tag:blogger.com,1999:blog-14844134.post-8027585042212722462014-05-15T09:39:00.001-04:002014-05-15T09:39:43.250-04:002048If you haven't tried it, check out the fun new math game <a href="https://itunes.apple.com/us/app/2048/id840919914?mt=8">2048</a> on the web and any smartphone or device.Bassam Abdul-Bakihttps://plus.google.com/105978943918433648626noreply@blogger.com0tag:blogger.com,1999:blog-14844134.post-67597017017194258852014-01-30T08:20:00.000-05:002017-08-17T19:04:18.795-04:00The Breasts EquationThis equation is making the rounds this week. However, it doesn't work on IE as of yet.<br/><br/>Google: <a href="https://www.google.com/#q=exp%28%28-%28%28%28x-4%29^2%2B%28y-4%29^2%29^2%29%29%2F999%29%2Bexp%28%28-%28%28%28x%2B4%29^2%2B%28y%2B4%29^2%29^2%29%29%2F999%29%2B0.1*exp%28-%28%28%28x%2B4%29^2%2B%28y%2B4%29^2%29^2%29%29%2B0.1*exp%28-%28%28%28x-4%29^2%2B%28y-4%29^2%29^2%29%29">`e^{-\frac{((x-4)^2+(y-4)^2)^2}{999}}+e^{-\frac{((x+4)^2+(y+4)^2)^2}{999}}+0.1\timese^{-((x+4)^2+(y+4)^2)^2}+0.1\timese^{-((x-4)^2+(y-4)^2)^2}`</a>Bassam Abdul-Bakihttps://plus.google.com/105978943918433648626noreply@blogger.com0tag:blogger.com,1999:blog-14844134.post-89335301603976053322013-05-23T07:25:00.003-04:002013-05-23T07:26:16.581-04:00Belgian Mathematician Wins Abel Prize for Shaping Algebraic GeometryPierre Deligne netted the prize, one of the most prestigious in mathematics and worth about $1 million, for proving a deep conjecture about algebraic geometry which has helped to transform number theory and related fields. Click <a href="http://www.scientificamerican.com/article.cfm?id=belgian-mathematician-wins-abel-prize-for-shaping-algebraic-geometry">here</a> for more information.Bassam Abdul-Bakihttps://plus.google.com/105978943918433648626noreply@blogger.com0tag:blogger.com,1999:blog-14844134.post-64137097842932626522013-05-06T09:45:00.000-04:002013-05-06T09:46:17.822-04:00Kenneth I. Appel, Mathematician Who Harnessed Computer Power, Dies at 80Kenneth I. Appel, who helped usher the venerable mathematical proof into the computer age, solving a longstanding problem concerning colors on a map with the help of an I.B.M. computer making billions of decisions, died on April 19 in Dover, N.H. He was 80.<br/><br/>Click <a href="http://www.nytimes.com/2013/04/29/technology/kenneth-i-appel-mathematician-who-harnessed-computer-power-dies-at-80.html">here</a> for more information.Bassam Abdul-Bakihttps://plus.google.com/105978943918433648626noreply@blogger.com0tag:blogger.com,1999:blog-14844134.post-44806655261315467982013-02-06T07:06:00.000-05:002016-01-26T14:26:22.087-05:0048th Known Mersenne Prime Found!On January 25th, the largest known prime number, 2<SUP>57,885,161</SUP>-1, was discovered on Great Internet Mersenne Prime Search (GIMPS) volunteer Curtis Cooper's computer. The new prime number, 2 multiplied by itself 57,885,161 times, less one, has 17,425,170 digits.<BR/><BR/>Click <a href="http://www.mersenne.org/primes/?press=M57885161">here</a> for more information. Bassam Abdul-Bakihttps://plus.google.com/105978943918433648626noreply@blogger.com0tag:blogger.com,1999:blog-14844134.post-64685360953721543682012-11-06T07:14:00.000-05:002012-11-06T07:14:21.016-05:00Animated Factorization DiagramsA very cool <a href="http://www.datapointed.net/visualizations/math/factorization/animated-diagrams/">visual representation</a> of numbers and their factors.Bassam Abdul-Bakihttps://plus.google.com/105978943918433648626noreply@blogger.com0tag:blogger.com,1999:blog-14844134.post-90609718732911842762012-11-04T13:44:00.001-05:002012-11-04T13:44:59.465-05:00Prime Number Patterns (II)<a href="http://hackaday.com/2012/11/03/on-not-proving-the-twin-prime-conjecture-with-autocad/">Another interesting article</a> using circles on the distribution of primes and twin primes.Bassam Abdul-Bakihttps://plus.google.com/105978943918433648626noreply@blogger.com0tag:blogger.com,1999:blog-14844134.post-89296801827235498372012-09-23T13:03:00.000-04:002012-09-23T13:05:11.714-04:00Proof Claimed For Deep Connection Between PrimesThe usually quiet world of mathematics is abuzz with a claim that one of the most important problems in number theory has been solved.<br/><br/>Mathematician Shinichi Mochizuki of Kyoto University in Japan has released a 500-page proof of the abc conjecture, which proposes a relationship between whole numbers — a 'Diophantine' problem.<br/><br/>Click <a href="http://www.nature.com/news/proof-claimed-for-deep-connection-between-primes-1.11378">here</a> to continue reading.Bassam Abdul-Bakihttps://plus.google.com/105978943918433648626noreply@blogger.com0