Some numbers are so unimaginably large that they defy the bounds of modern mathematics, and now mathematicians are closing in ...

Measured against that, the Kakeya conjecture – a problem stemming from a 1917 thought experiment by Japanese mathematician ...

ABSTRACT: We prove that the Collatz, 3n+1 , conjecture is true. To prove this statement, we will first see that, if a number n starts a sequence that satisfies the Collatz conjecture then all ...

Mathematics is the study of numbers, quantity and space. In essence, it's the study of the relationships between things, and those relationships need to be figured out using logic and abstract ...

Mathematicians from New York University and the University of British Columbia have resolved a decades-old geometric problem, the Kakeya conjecture in 3D, which studies the shape left behind by a ...

The conjecture basically asks: Can certain math puzzles always be solved using a set of allowed moves, like rearranging or undoing steps? “It’s like trying to find your way through a maze the ...

Mathematicians still believe the physics statement about connected locations within solids that inspired the bunkbed conjecture. But they’ll need to find a different way to prove it.

Tiep helped to prove part of the conjecture in 2013, and has worked “intensively” on the rest since then, he said in a Rutgers statement.

Math’s “Rosetta Stone:” Yale professor proves decades-old mathematical conjecture Yale professor Sam Raskin led a team to prove the geometric Langlands conjecture, solving a major part of one of ...

Early evidence might not represent the bigger picture; a statement might seem obvious, only for some hidden subtlety to reveal itself. Unexpectedly, three mathematicians have now shown that a ...

Mathematicians still believe the physics statement about connected locations within solids that inspired the bunkbed conjecture. But they’ll need to find a different way to prove it. In the meantime, ...