Latest Articles
Machine Learning Aids Classical Modeling of Quantum Systems
By using “classical shadows,” ordinary computers can beat quantum computers at the tricky task of understanding quantum behaviors.
‘Species Repulsion’ Enables High Biodiversity in Tropical Trees
Because tree seedlings don’t grow as well when close to their parents, more tree species can be packed into tropical forests.
A Tower of Conjectures That Rests Upon a Needle
On its surface, the Kakeya conjecture is a simple statement about rotating needles. But it underlies a wealth of mathematics.
Physicists Observe ‘Unobservable’ Quantum Phase Transition
Measurement and entanglement both have a “spooky” nonlocal flavor to them. Now physicists are harnessing that nonlocality to probe the spread of quantum information and control it.
The Biggest Smallest Triangle Just Got Smaller
A new proof breaks a decades-long drought of progress on the problem of estimating the size of triangles created by cramming points into a square.
How Scientists Are Tackling the Tricky Task of Solar Cycle Prediction
Scientists have struggled to accurately forecast the strength of the sun’s 11-year cycle — even after centuries of solar observations.
Magnetism May Have Given Life Its Molecular Asymmetry
The preferred “handedness” of biomolecules could have emerged from biased interactions between electrons and magnetic surfaces, new research suggests.
Alan Turing and the Power of Negative Thinking
Mathematical proofs based on a technique called diagonalization can be relentlessly contrarian, but they help reveal the limits of algorithms.
Why Mathematical Proof Is a Social Compact
Number theorist Andrew Granville on what mathematics really is — and why objectivity is never quite within reach.