#### Mathematicians calculate that there are 177,147 ways to knot a tie

(Phys.org) —A small team of mathematicians, led by Mikael Vejdemo-Johansson of the of the KTH Royal Institute of Technology in Stockholm, has uploaded a paper to the preprint server arXiv describing a math ...

#### Computer generated math proof is too large for humans to check

(Phys.org) —A pair of mathematicians, Alexei Lisitsa and Boris Konev of the University of Liverpool, U.K., have come up with an interesting problem—if a computer produces a proof of a math problem that ...

#### Tall water waves behave unexpectedly

(PhysOrg.com) -- In investigating the behavior of large-amplitude standing water waves, mathematician Jon Wilkening of the University of California, Berkeley, has discovered that the waves’ behavior cannot ...

#### Cooperation vs. Competition: Greed is good -- but only a moderate amount

(PhysOrg.com) -- Relationships between cooperation, competition, and society have long been pondered by psychologists, sociologists, anthropologists, economists, philosophers, and mathematicians. While (as ...

#### To build a cooperative society, is it better to punish or reward?

(PhysOrg.com) -- One of the basic components of a functional, cooperative society is a code of law, where the laws are usually enforced by some kind of incentive. Social incentives can either be positive (rewards) or negative ...

#### Mathematician proves there are infinitely many pairs of prime numbers less than 70 million units apart

(Phys.org) —Mathematician Yitang Zhang of the University of New Hampshire, appears to have taken a major step in solving the twin prime conjecture. He's come up with a mathematical proof that shows that ...

#### Winning While Losing: New Strategy Solves 'Two-Envelope' Paradox

(PhysOrg.com) -- Researchers from Australia have taken a step toward resolving a seemingly simple yet unsolved paradox known as the "two-envelope" problem. They’ve worked out a new strategy that can enable ...

#### Fermat's Last Theorem, more can be proved more simply: Professor steers field toward a numbers-only proof

Fermat's Last Theorem—the idea that a certain simple equation had no solutions— went unsolved for nearly 350 years until Oxford mathematician Andrew Wiles created a proof in 1995. Now, Case Western Reserve University's ...

#### University professor discovers largest prime number to date

(Phys.org)—Curtis Cooper, professor of math and computer science at the University of Central Missouri, has discovered the largest prime number to date, it's 257,885,161 – 1. It has 17 million digits and is also a Mersenne prime (a prime number defined by the equation N=2n-1, ...

#### Generosity leads to evolutionary success, biologists show

#### Shrinking blob speeds traveling salesman on his way

(Phys.org) —What is the shortest route that a traveling salesman must take to visit a number of specified cities in a tour, stopping at each city once and only once before returning to the starting point? ...

#### Slow-moving rocks better odds that life crashed to Earth from space

(Phys.org)—Microorganisms that crashed to Earth embedded in the fragments of distant planets might have been the sprouts of life on this one, according to new research from Princeton University, the University ...

#### Mathematician designs event cloaking device without using metamaterials

(Phys.org) —Miguel A. Lerma a mathematician at Northwestern University has uploaded a paper to the preprint server arXiv, in which he describes the design of an event cloaking device that doesn't requir ...

#### Crowd-talk yields great answers, says university team

(Phys.org)—Move over, Siri. Some researchers from the University of Rochester in collaboration with a University of California, Berkeley, mathematician/crowdsourcing entrepreneur, have come up with a killer ...