#millennium-prize-problems

[ follow ]
fromenglish.elpais.com
1 week ago

How AI giants tried to storm the last stronghold of the human mind: the math olympiads

The news of the AI's medal win was published by thousands of media outlets and chosen as one of the year's biggest scientific breakthroughs by the journal Science. And this is where the story starts to get complicated. Because the news is a lie.
OMG science
Science
fromwww.scientificamerican.com
2 weeks ago

Gerd Faltings, mathematician who proved the Mordell conjecture, wins the Abel Prize at age 71

Gerd Faltings won the Abel Prize for proving Mordell conjecture, establishing that curves with variables raised to powers higher than 3 have finitely many rational points.
fromNature
2 weeks ago

Mathematician who reshaped number theory wins prestigious Abel prize

Faltings was awarded the prize for work proving central results in the theory of algebraic equations linking whole numbers together. The prize highlights Faltings's work in 1983 on the theory of Diophantine equations, which are equations involving sums and powers of unknown numbers for which the solutions have to be rational - meaning they can be written as a fraction of two whole numbers, or integers.
Science
fromwww.scientificamerican.com
3 weeks ago

Mathematicians find one pi formula to rule them all

For more than two millennia, mathematicians have produced a growing heap of pi equations in their ongoing search for methods to calculate pi faster and faster. The pile of equations has now grown into the thousands, and algorithms now can generate an infinitude. Each discovery has arrived alone, as a fragment, with no obvious connection to the others. But now, for the first time, centuries of pi formulas have been shown to be part of a unified, formerly hidden structure.
Science
Education
fromenglish.elpais.com
1 month ago

The more than 2,000year search for impossible geometries

Hyperbolic geometry allows familiar Euclidean facts, like triangle angle sums, to differ, and virtual reality enables immersive visualization of such non-Euclidean spaces.
fromNature
2 months ago

Forget formalism: mathematics was built on infighting and emotional turmoil

In the weeks leading up to September 1891, mathematician Georg Cantor prepared an ambush. For years he had sparred - philosophically, mathematically and emotionally - with his formidable rival Leopold Kronecker, one of Germany's most influential mathematicians. Kronecker thought that mathematics should deal only with whole numbers and proofs built from them and therefore rejected Cantor's study of infinity. "God made the integers," Kronecker once said. "All else is the work of man."
History
Higher education
fromwww.theguardian.com
2 months ago

Can you solve it? The numbers all go to 11

Eleven exhibits striking properties: two-digit prime palindrome, football-team size, palindromic multiples, a neat divisibility test, and digit-arrangement puzzles.
Education
fromwww.theguardian.com
1 month ago

Did you solve it? The numbers all go to 11

Numbers 2 through 11 cannot be partitioned into three groups with sums divisible by 11 because their total 65 is not divisible by 11.
Science
fromWIRED
2 months ago

A New Bridge Links the Strange Math of Infinity to Computer Science

Problems in descriptive set theory can be reformulated as equivalent problems about communication in distributed computer networks, linking infinite-set logic with finite algorithms.
[ Load more ]