Posts Tagged ‘math’
Fermat’s little theorem (video) | Khan Academy
January 13, 2024Tansu YEĞEN on Twitter: “Multiplication from scratch😊 https://t.co/Ivb0mp0Wcg” / Twitter
October 15, 2022Professor suspected of being a terrorist because of a math equation
May 11, 2016Prof suspected of being a terrorist because of a #math equation http://usat.ly/273zpEI What if he’d drawn chemical models instead HT @Layth
http://www.usatoday.com/story/news/2016/05/07/professors-airplane-math-leads-flight-delay/84084914/
Twisted Math and Beautiful Geometry » American Scientist
March 6, 2016Twisted #Math & Beautiful Geometry
http://www.americanscientist.org/issues/id.16146,y.2014,no.2,content.true,page.1,css.print/issue.aspx nice overview of 4 tricky shapes: cycloids, epicycles, spirals & steiner prisms
A Group of American Teens Are Excelling at Advanced Math – The Atlantic
February 25, 2016A Group of American Teens Are Excelling at…#Math
http://www.theatlantic.com/magazine/archive/2016/03/the-math-revolution/426855/ To teach concepts or facts to the “educational 1-percenters”
Rock-paper-scissors may explain evolutionary ‘games’ in nature
September 8, 2015Rock-paper-scissors may explain evolutionary ‘games’
http://news.sciencemag.org/biology/2015/05/rock-paper-scissors-may-explain-evolutionary-games-nature How aggressive, cooperative & deceptive behaviors can coexist
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“The hand game “rock-paper-scissors” is a classic way to settle playground disputes, with rock smashing scissors, scissors cutting paper, and paper covering rock. But it turns out that nature plays its own versions of the game, and mathematicians and biologists have used it to study everything from human societies to bacteria in a petri dish. Now, researchers have found that when players change their strategies on the fly, a stable pattern arises in which each of the three weapons gains and loses popularity in turn. The discovery could shed light on how living creatures maintain competing strategies in the struggle for existence.
When applied to biology, rock-paper-scissors blossoms from a two-person children’s game into a complex dance among multiple players. Certain lizards, for example, use three competing
strategies—aggression, cooperation, and deception—to win mates, with each tactic beating one and losing to another—just like rock, paper, and scissors. For the lizards, winning the game equates to making babies.
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Inspired by computer simulations of a related game, two
mathematicians—Steven Strogatz and Danielle Toupo of Cornell University—decided to get to the root of what happens when players switch strategies midgame. “I thought it was fascinating, and I wanted to find a mathematical model that would describe this in its simplest form,” Strogatz says. They went back to basics, studying the pure equations instead of complicated computer simulations.”
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John Horton Conway: the world’s most charismatic mathematician | Siobhan Roberts | Science | The Guardian
September 4, 2015John Horton Conway: the world’s most charismatic #mathematician
http://www.theguardian.com/science/2015/jul/23/john-horton-conway-the-most-charismatic-mathematician-in-the-world Floccinaucinihilipilification is his favourite word
Solving an Unsolvable Math Problem – The New Yorker
February 9, 2015The pursuit of beauty http://www.newyorker.com/magazine/2015/02/02/pursuit-beauty Zhang’s 2 accomplishments: Solving a #math mystery about gaps in primes & Doing it after age 50
Profiles FEBRUARY 2, 2015 ISSUE
The Pursuit of Beauty
Yitang Zhang solves a pure-math mystery
BY ALEC WILKINSON
Mathematicians Make a Major Discovery About Prime Numbers | WIRED
December 23, 2014Major Discovery About #Prime Numbers
http://www.wired.com/2014/12/mathematicians-make-major-discovery-prime-numbers Extension of trick to find spans of composites, eg start w/ 101! add 2,3,4…101
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The two new proofs of Erdős’ conjecture are both based on a simple way to construct large prime gaps. A large prime gap is the same thing as a long list of non-prime, or “composite,” numbers between two prime numbers. Here’s one easy way to construct a list of, say, 100 composite numbers in a row: Start with the numbers 2, 3, 4, … , 101, and add to each of these the number 101 factorial (the product of the first 101 numbers, written 101!). The list then becomes 101! + 2, 101! + 3, 101! + 4, … , 101! + 101. Since 101! is divisible by all the numbers from 2 to 101, each of the numbers in the new list is composite: 101! + 2 is divisible by 2, 101! + 3 is divisible by 3, and so on. “All the proofs about large prime gaps use only slight variations on this high school construction,” said James Maynard of Oxford, who wrote the second of the two papers.
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