Three mathematicians just proved a famous 30-year-old conjecture in geometry, with only a tiny assist from AI. The conjecture says that even within enormous, scattered and chaotic assemblages of ...

Two RIKEN physicists have established new theoretical limits for experimentally measurable quantities by viewing solids through a lens of quantum geometry. Their results shed light both on the physics ...

This paper provides the first proof that GPTQ (executed in reverse order) is mathematically equivalent to Babai's nearest plane algorithm from classical lattice ...

The intricate kolam patterns drawn daily at the thresholds of homes across South India are decorative motifs that encode a sophisticated geometric logic passed down through generations. Now, ...

Ashley has been writing about video games professionally for over eight years, but her path into gaming journalism wasn't exactly a straight line. She grew up playing games and got a Nintendo 64 when ...

ABSTRACT: The purpose of this paper is to introduce a new pivot rule of the simplex algorithm. The simplex algorithm first presented by George B. Dantzig, is a widely used method for solving a linear ...

A new theory proposes that the universe’s fundamental forces and particle properties may arise from the geometry of hidden extra dimensions. These dimensions could twist and evolve over time, forming ...

Pointed objects such as stingers, horns, and teeth have been observed to exhibit a paraboloid geometry at the tip. Interestingly, this tip geometry is not exclusive to biological structures; it is ...

Illustration of a set of real zeros of a graph polynomial (middle) and two Feynman diagrams. Credit: Max Planck Institute for Mathematics in the Sciences How can the tiniest particles and the vast ...

A dipole moment of positive and negative wedge disclinations—the “the other side of the coin” of a single edge dislocation indicated by the replacement of affine connections. The inverted “T” marks ...