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The Four-Color Theorem Gets a Rare New Proof
By revisiting the famous problem — which was controversially solved in the 1970s with the help of computers — mathematicians have gained important new insights into the nature of graphs.
AI Has Solved One of Math’s $1 Million Millennium Prize Problems
Mathematicians at OpenAI showed that the Navier-Stokes equations, which describe how fluids flow, can sometimes “blow up.” But the massive result is not without controversy.
Does Computer Science Need Computers?
The theoretical side of the field doesn’t require computing machines. But many questions would never have been posed without them.
‘Huge Breakthrough’ in the Math of Imbalance
For the first time in 30 years, computer scientists have found a better way to allocate objects evenly between two groups.
Are We Thinking Correctly About AI Intelligence?
Computer scientist Melanie Mitchell discusses why artificial intelligence doesn’t “think” or “reason” like humans, and how we can create better methods for measuring machine cognition.
Building a Quantum Computer, One Fragile Qubit at a Time
No one yet knows which technology will power the quantum computers of the future, but the race to create them has already produced some of science’s most intricate machinery.
Is AI Reasoning Right for the Wrong Reasons?
The idea that artificial intelligence can “reason” is more intuitive than ever. But intuitions can be wrong, and the science is far from settled.
A Master of the Traveling Salesperson Problem Finds His Own Path
Shayan Oveis Gharan has won the Abacus Medal for using tools from across mathematics to boost the power of algorithms.
Thermodynamic Computers Go With the (Energy) Flow
Today’s computers need safeguards against random energy fluctuations. Thermodynamic computers would put those fluctuations to use.