tag:blogger.com,1999:blog-148441342024-02-18T23:15:39.821-05:00Mathematically RelatedBassam Abdul-Bakihttp://www.blogger.com/profile/03467628092593406179noreply@blogger.comBlogger294125tag:blogger.com,1999:blog-14844134.post-1422313633963088412023-06-02T10:12:00.003-04:002023-06-02T10:13:03.580-04:00A Chiral Aperiodic Monotile<div class="separator" style="clear: both;"><a href="https://cs.uwaterloo.ca/~csk/spectre/logo.png" style="display: block; padding: 1em 0; text-align: center; "><img alt="" border="0" width="320" data-original-height="392" data-original-width="800" src="https://cs.uwaterloo.ca/~csk/spectre/logo.png"/></a></div>
An update to the aperiodic tile. This update shows that a shape that tiles the plane aperiodically without reflections is possible. The original one did not.<br/><br/>
Click <a href="https://cs.uwaterloo.ca/~csk/spectre/?fbclid=IwAR35uoLml69QEH9NxzY0lsCnfj05LLAdUFQAqxmQ-dqJyz_vrrq1xJ1Z0EY">here</a> for the article.Bassam Abdul-Bakihttp://www.blogger.com/profile/03467628092593406179noreply@blogger.com0tag:blogger.com,1999:blog-14844134.post-83142607364639620212023-04-01T14:59:00.005-04:002023-04-01T14:59:51.228-04:00Mathematicians have finally discovered an elusive ‘einstein’ tile<div class="separator" style="clear: both;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhfYQLyU_5fch3EdjdjKGiaMfKLyyxiLBO7Ztzz3vjCoFEKAZFGH3N_ndrscIs5NIl643HNnNTXSCUdXHWWd-EYp9oOQu3ahX5p_k24yYldzLTY3lz76A9uEiSj7HeEa1iLM6ezDD5VREsSt7t_6UHzdjoV1SpvsY0QOPfGgH39tml63KWRMA/s680/032323_ec_einstein-tiles_inline1.jpg" style="display: block; padding: 1em 0; text-align: center; "><img alt="" border="0" width="320" data-original-height="412" data-original-width="680" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhfYQLyU_5fch3EdjdjKGiaMfKLyyxiLBO7Ztzz3vjCoFEKAZFGH3N_ndrscIs5NIl643HNnNTXSCUdXHWWd-EYp9oOQu3ahX5p_k24yYldzLTY3lz76A9uEiSj7HeEa1iLM6ezDD5VREsSt7t_6UHzdjoV1SpvsY0QOPfGgH39tml63KWRMA/s320/032323_ec_einstein-tiles_inline1.jpg"/></a></div>
A 13-sided shape known as “the hat” has mathematicians tipping their caps.<br/><br/>
It’s the first true example of an “einstein,” a single shape that forms a special tiling of a plane: Like bathroom floor tile, it can cover an entire surface with no gaps or overlaps but only with a pattern that never repeats.<br/><br/>
Click <a href="https://www.sciencenews.org/article/mathematicians-discovered-einstein-tile">here</a> for more information.Bassam Abdul-Bakihttp://www.blogger.com/profile/03467628092593406179noreply@blogger.com0tag:blogger.com,1999:blog-14844134.post-33054617278515759842022-07-31T07:09:00.003-04:002022-07-31T07:09:36.583-04:00Value-Counting Up to NSome interesting properties arise when value-counting the integers sequentially up to N using N digits or fingers and comparing the number of values to the prime-exact equation; with a simple method for testing primes and prime powers (particularly Mersenne and Fermat primes).<br><br>
Click <a href="https://vixra.org/abs/2207.0177" target="_blank">here</a> to read my paper.Bassam Abdul-Bakihttp://www.blogger.com/profile/03467628092593406179noreply@blogger.com0tag:blogger.com,1999:blog-14844134.post-25838282938914232512021-12-22T21:54:00.004-05:002022-07-31T07:10:28.187-04:00Primality Testing and Factoring Using Pascal's TriangleAn interesting if not impractical way of primality testing and factoring a number using Pascal’s Triangle.<br/><br/>
Click <a href="https://vixra.org/abs/2112.0093" target="_blank">here</a> to read my paper.Bassam Abdul-Bakihttp://www.blogger.com/profile/03467628092593406179noreply@blogger.com0tag:blogger.com,1999:blog-14844134.post-65248264857128233842019-10-13T15:00:00.000-04:002019-10-13T15:05:01.912-04:00Collatz ConjectureI've previously linked to Jason Davies website for <a href="https://math-related.blogspot.com/2012/07/prime-number-patterns.html">another article</a>. He has another JavaScript program for the <a href="https://www.jasondavies.com/collatz-graph/">Collatz Conjecture</a>.<br/><br/>
To pretty it up, remove the circle fill in collatz.css and modify the circle append (line 83) in collatz.js as follows:
<pre lang="js">
nodeEnter.append("circle")
.attr("fill", function(d) {
var cc;
var i = parseInt(d.data);
if ((i && (i & (i - 1)) === 0) && (i <= 16)) {
cc = "#0000ff";
}
else if ((i % 3) === 0) {
cc = "#c8c8c8";
}
else if ((i % 6) === 1) {
cc = "#ffff00";
}
else if (((i % 2) === 1) || (((i % 3) === 2) && (((i / 2) % 2) === 0))) {
cc = "#ffa500";
}
else {
cc = "#000000";
}
return cc;
})
.attr("r", 5);
</pre>
I was only interested in the initial node for those in orange and yellow.
Bassam Abdul-Bakihttp://www.blogger.com/profile/03467628092593406179noreply@blogger.com0tag:blogger.com,1999:blog-14844134.post-90648222236812080962019-10-10T18:46:00.001-04:002019-10-13T14:51:35.218-04:00Minimal Set for Powers of 2The minimal set for powers of 2 is currently nondeterministic and can be shown to be more complex than previously proposed.<br/><br/>
Click <a href="http://vixra.org/abs/1910.0105">here</a> for my analysis on it.Bassam Abdul-Bakihttp://www.blogger.com/profile/03467628092593406179noreply@blogger.com0tag:blogger.com,1999:blog-14844134.post-36820055285905494212019-07-01T20:29:00.000-04:002019-07-01T20:29:49.227-04:00Mathematicians Discover the Perfect Way to MultiplyFour thousand years ago, the Babylonians invented multiplication. Last month, mathematicians perfected it.<br/><br/>
On March 18, two researchers described the fastest method ever discovered for multiplying two very large numbers. The paper marks the culmination of a long-running search to find the most efficient procedure for performing one of the most basic operations in math.<br/><br/>
“Everybody thinks basically that the method you learn in school is the best one, but in fact it’s an active area of research,” said Joris van der Hoeven, a mathematician at the French National Center for Scientific Research and one of the co-authors.<br/><br/>
Click <a href="https://www.quantamagazine.org/mathematicians-discover-the-perfect-way-to-multiply-20190411/">here</a> and <a href="https://newsroom.unsw.edu.au/news/science-tech/maths-whiz-solves-48-year-old-multiplication-problem">here</a> for more information.Bassam Abdul-Bakihttp://www.blogger.com/profile/03467628092593406179noreply@blogger.com0tag:blogger.com,1999:blog-14844134.post-3143281226085435442019-06-18T16:02:00.000-04:002019-06-18T16:03:18.865-04:00A 53-Year-Old Network Coloring Conjecture Is Disproved<img border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEj9vwyTaBxnpf2_Sm8j5R8rsXzthnJeJL2c7YbDGaUsi6a8pxdOEij03GgFg-Say0MdpDTpzn09clNz90rd89R12yxzQ_lUg5KlzC4Lb516i48sijsYQfDlgiFLmlctMFhmeTg9/s320/Graph_Coloring_2880x1620_LEDE.jpg" width="320" height="180" data-original-width="1600" data-original-height="900" title="Hedetniemi's Graph Theory Conjecture"/><br/><br/>
A paper posted online last month has disproved a 53-year-old conjecture about the best way to assign colors to the nodes of a network. The paper shows, in a mere three pages, that there are better ways to color certain networks than many mathematicians had supposed possible.<br/><br/>
Click <a href="https://www.quantamagazine.org/mathematician-disproves-hedetniemis-graph-theory-conjecture-20190617/?fbclid=IwAR2uOtQO6LrJIRImUGrQCD4NnhAXdoF0O2MR1gs_xAxcqsEN-R97QFzNoCU">here</a> for more information.Bassam Abdul-Bakihttp://www.blogger.com/profile/03467628092593406179noreply@blogger.com0tag:blogger.com,1999:blog-14844134.post-86479621525429071952019-04-03T15:20:00.000-04:002019-04-03T15:25:03.462-04:00Andrew Booker, a Mathematics Professor at the University of Bristol, Just Solved a Deceptively Simple Puzzle That Has Boggled Minds for 64 YearsA mathematician in England has cracked a math puzzle that's stumped computers and humans alike for 64 years: How can the number 33 be expressed as the sum of three cubed numbers?<br/><br/>
While it might seem simple on its face, this question is part of an enduring number-theory conundrum that goes back to at least 1955 and may have been mulled over by Greek thinkers as early as the third century. The underlying equation to solve looks like this:<br/><br/>
`x^3 + y^3 + z^3 = k`<br/><br/>
That answer is:<br/><br/>
`(8,866,128,975,287,528)^3 + (–8,778,405,442,862,239)^3 + (–2,736,111,468,807,040)^3 = 33`.<br/><br/>
Click <a href="https://www.livescience.com/65135-mathematician-solves-for-33.html?fbclid=IwAR2z8aIU1zFMt_Ni-Q4lT_7cfdgiF-mDqKwA6Segw99PzzcGLoYUBTou6rQ">here</a> for more information.Bassam Abdul-Bakihttp://www.blogger.com/profile/03467628092593406179noreply@blogger.com0tag:blogger.com,1999:blog-14844134.post-29307153351663581782019-03-22T19:58:00.000-04:002019-03-22T19:59:12.864-04:00Karen Uhlenbeck is first woman to win prestigious maths Abel prizeMathematician Karen Uhlenbeck has become the first woman to win the Abel prize, sometimes called the Nobel prize of mathematics. She has been awarded the 6 million Norwegian kroner ($700,000) prize for her work in the fields of gauge theory and geometric analysis, which have been credited with far-reaching impact in both mathematics and physics.<br/><br/>
Click <a href="https://www.newscientist.com/article/2196755-karen-uhlenbeck-is-first-woman-to-win-prestigious-maths-abel-prize/">here</a> for more information.Bassam Abdul-Bakihttp://www.blogger.com/profile/03467628092593406179noreply@blogger.com0tag:blogger.com,1999:blog-14844134.post-53151693114762764772019-01-13T08:07:00.000-05:002019-01-13T08:13:10.746-05:00Mathematician Sir Michael Atiyah dies aged 89<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjbiD6RD9O4HlgZqy7WWKyDT84ujq31QGz0EwZwqzLDyq4lbnjwjGDpdTdoHMjrO84n2TmSncPP91alTgo1pEdhGcrEoMbIurqUSLVAgQuQ4iz2fF7SP-EhoaxfzIgcyFfNbF2I/s1600/_105159760_atiyah.jpg" imageanchor="1" ><img border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjbiD6RD9O4HlgZqy7WWKyDT84ujq31QGz0EwZwqzLDyq4lbnjwjGDpdTdoHMjrO84n2TmSncPP91alTgo1pEdhGcrEoMbIurqUSLVAgQuQ4iz2fF7SP-EhoaxfzIgcyFfNbF2I/s320/_105159760_atiyah.jpg" width="320" height="180" data-original-width="320" data-original-height="180" /></a><br/>
One of the world's foremost mathematicians, Prof Sir Michael Atiyah, has died at the age of 89.<br/>
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Sir Michael, who worked at Cambridge University before he retired, made outstanding contributions to geometry and topology.<br/>
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Sir Michael was a recipient of the highest honour in mathematics, a Fields Medal. He died on Friday.<br/>
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Click <a href="https://www.bbc.com/news/science-environment-46850763">here</a> for more information.Bassam Abdul-Bakihttp://www.blogger.com/profile/03467628092593406179noreply@blogger.com0tag:blogger.com,1999:blog-14844134.post-61508096523775035172019-01-03T19:48:00.001-05:002019-01-03T19:49:51.816-05:0051st Known Mersenne Prime Found!The Great Internet Mersenne Prime Search (GIMPS) has discovered the largest known prime number, 2<sup>82,589,933</sup>-1, having 24,862,048 digits. A computer volunteered by Patrick Laroche from Ocala, Florida made the find on December 7, 2018. The new prime number, also known as M82589933, is calculated by multiplying together 82,589,933 twos and then subtracting one. It is more than one and a half million digits larger than the previous record prime number.<br/>
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Click <a href="https://www.mersenne.org/primes/?press=M82589933">here</a> for more information.Bassam Abdul-Bakihttp://www.blogger.com/profile/03467628092593406179noreply@blogger.com0tag:blogger.com,1999:blog-14844134.post-48810748391052145532018-09-24T16:53:00.000-04:002018-09-24T16:53:44.540-04:00Riemann Hypothesis Solved By Sir Michael Atiyah After 160 Years, He SaysOne of the world's most renowned mathematicians showed how he solved the 160-year-old Riemann hypothesis at a lecture on Monday — and he will be awarded $1 million if his solution is confirmed.<br/>
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Sir Michael Atiyah, who has won the two biggest prizes in mathematics — the Fields Medal and Abel Prize — took the stage at the Heidelberg Laureate Forum in Germany on Monday to present his work.<br/>
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To solve the hypothesis you need to find a way to predict the occurrence of every prime number, even though primes have historically been regarded as randomly distributed.<br/>
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Aityah's solution will need to be checked by other mathematicians and then published before it is fully accepted and he can claim the prize from the Clay Mathematics Institute of Cambridge.<br/>
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Click <a href="https://www.thisisinsider.com/riemann-hypothesis-solved-by-sir-michael-atiyah-after-160-years-he-says-2018-9">here</a> for more information.
Bassam Abdul-Bakihttp://www.blogger.com/profile/03467628092593406179noreply@blogger.com0tag:blogger.com,1999:blog-14844134.post-1331611656208718582018-09-24T16:49:00.001-04:002018-09-24T16:54:26.735-04:00Every Positive Integer Is A Sum Of Three PalindromesFor integer g ≥ 5, we prove that any positive integer can be written as a sum of three palindromes in base g.<br/><br/>
Click <a href="https://arxiv.org/abs/1602.06208v2">here</a> for more information.Bassam Abdul-Bakihttp://www.blogger.com/profile/03467628092593406179noreply@blogger.com0tag:blogger.com,1999:blog-14844134.post-61819005127049097342018-08-01T21:12:00.000-04:002018-08-01T21:12:14.995-04:00"Nobel of Mathematics" Stolen Minutes After Awarded One of the winners of the award known as the Nobel Prize for mathematics had his gold medal stolen minutes after it was given to him. Caucher Birkar, a Kurdish refugee turned Cambridge University math professor, was among four winners of the prestigious Fields Medal on Wednesday in Rio de Janeiro.<br/><br/>
It was an embarrassing debut for crime-ridden Rio, the first Latin American city ever to host the Fields ceremony, which takes place every four years. Less than an hour had passed since Birkar, a 40-year-old specialist in algebraic geometry, had been handed his 14-karat gold medal when his briefcase went missing.<br/><br/>
Click <a href="https://www.msn.com/en-us/news/world/nobel-of-mathematics-stolen-minutes-after-awarded/ar-BBLnB4v?ocid=spartanntp">here</a> for more information.Bassam Abdul-Bakihttp://www.blogger.com/profile/03467628092593406179noreply@blogger.com0tag:blogger.com,1999:blog-14844134.post-3664397142805336102018-03-23T22:25:00.000-04:002018-03-23T22:26:47.420-04:00Creator of 'Grand Unified Theory of Mathematics' Wins Prestigious Math PrizeA mathematician who developed what some consider the "grand unified theory of mathematics" has won one of the most prestigious prizes in mathematics.<br/><br/>
Robert Langlands, an emeritus professor at the Institute for Advanced Study at Princeton University, has won the Abel Prize, a prestigious mathematics prize that honors a lifetime of groundbreaking work, organizers of the prize announced yesterday (March 20).<br/><br/>
Click <a href="https://www.space.com/40060-langlands-wins-abel-mathematics-prize.html">here</a> for more information.Bassam Abdul-Bakihttp://www.blogger.com/profile/03467628092593406179noreply@blogger.com0tag:blogger.com,1999:blog-14844134.post-36894233670381804952018-02-14T19:28:00.000-05:002019-01-13T08:10:53.281-05:00The Science of Magic Angle SculpturesJohn V. Muntean was inspired to create the Magic Angle Sculptures through his work with magic angle sample spinning, a scientific technique that mechanically simulates a molecule tumbling through space. The effect is to rapidly interchange the three axes of the Cartesian coordinates (x, y, and z). A complex observable phenomenon in three-dimensional space (such as the nuclear magnetic moments of a static molecule) can be represented by 3 x 3 tensors or sets of nine numbers; spinning at the magic angle simplifies that quantity to single isotropic values.<br/>
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Click <a href="https://www.jvmuntean.com/">here</a> for his videos.Bassam Abdul-Bakihttp://www.blogger.com/profile/03467628092593406179noreply@blogger.com0tag:blogger.com,1999:blog-14844134.post-65129365073457393162018-01-05T14:39:00.000-05:002018-01-05T14:49:26.457-05:0050th Known Mersenne Prime Found! Persistence pays off. Jonathan Pace, a GIMPS volunteer for over 14 years, discovered the 50th known Mersenne prime, 2<sup>77,232,917</sup>-1 on December 26, 2017. The prime number is calculated by multiplying together 77,232,917 twos, and then subtracting one. It weighs in at 23,249,425 digits, becoming the largest prime number known to mankind. It bests the previous record prime, also discovered by GIMPS, by 910,807 digits.<br/>
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Click <a href="https://www.mersenne.org/primes/?press=M77232917">here</a> for more information.Bassam Abdul-Bakihttp://www.blogger.com/profile/03467628092593406179noreply@blogger.com0tag:blogger.com,1999:blog-14844134.post-11061701371817855652017-12-06T15:50:00.000-05:002017-12-06T15:50:16.127-05:00Mathematicians Awarded $3 Million for Cracking Century-Old ProblemChristopher Hacon, a mathematician at the University of Utah, and James McKernan, a physicist at the University of California at San Diego, won this year's Breakthrough Prize in Mathematics for proving a long-standing conjecture about how many types of solutions a polynomial equation can have. Polynomial equations are mainstays of high-school algebra — expressions like `x^2+5x+6 = 1` — in which variables are raised to the whole number exponents and added, subtracted and multiplied. The mathematicians showed that even very complicated polynomials have just a finite number of solutions.<BR/>
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Click <a href="https://www.livescience.com/61103-2017-breakthrough-mathematics-awarded.html?_ga=2.213983184.611816113.1512589229-874830771.1510269061">here</a> for more information.Bassam Abdul-Bakihttp://www.blogger.com/profile/03467628092593406179noreply@blogger.com0tag: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://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjXIZFwy-PtUT9HUy-SM__2K1O2jyFcb_ahcQYaxgneqUPWY0YQf3Wg9tlwzc0JN2vB9FbQXEy_Gc8RY9azdMiktBbQdJokwDNtTc-j1vd0Y0dSE7rsgKzca00F-tb-wXAOT7-I/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-Bakihttp://www.blogger.com/profile/03467628092593406179noreply@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://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhaUmlXeD1FvPBoKiqbaZ6AED8T2NawTSnWTIpv8PIrdPOtRwdgPLE0qK6ebrUA0NbpJoLwCSNYm4rP08j04V5RQBlHqgIZ6AAe2ovBGL7kT8h38jicRrAhTrFhX09AjbdFW6Uz/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-Bakihttp://www.blogger.com/profile/03467628092593406179noreply@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://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhl1thRRGthHi1BUg8fc2RVQzfkqaOEImpfmymKkbNqpfM5FOmAekyDGRwqaqa6eYwqlZPpQO2xu-E8g_DZ74sY00BdYrl_0_wvbq-KN1flTfY8ex5MZJqe2xD-TQErQUNahJmF/s320/BBEs0lH.jpg" width="320" height="210" data-original-width="728" data-original-height="478" /><br/>
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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/>
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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-Bakihttp://www.blogger.com/profile/03467628092593406179noreply@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/>
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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/>
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Click <a href="https://www.sciencedaily.com/releases/2017/06/170616102155.htm">here</a> for more information.Bassam Abdul-Bakihttp://www.blogger.com/profile/03467628092593406179noreply@blogger.com0tag:blogger.com,1999:blog-14844134.post-37040210109323584882017-06-22T12:12:00.000-04:002018-02-15T20:28:21.687-05:00When Mathematicians Get Married<img border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhjcuCrlx2jvlN58rIq8Yp5pDMZAfRJrjikNRKCaYOUz7MxzTs52VkhB4NOico0r3T051CYA9PMWFW4Ch8_9R2ygJh0JPA33oCMA2gTmfMGUIhMaka_EERrXeeU_Ym45Bh3ALcR/s1600/18814174_10155390567384894_2091140213281245428_n.jpg" data-original-width="670" data-original-height="386" title="Mathematician Rings" />Bassam Abdul-Bakihttp://www.blogger.com/profile/03467628092593406179noreply@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/>
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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/>
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Click <a href="https://phys.org/news/2017-05-eccentric-french-maths-genius-online.html">here</a> for more information.Bassam Abdul-Bakihttp://www.blogger.com/profile/03467628092593406179noreply@blogger.com0