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. ..
Mathematical proofs based on a technique called diagonalization can be relentlessly contrarian, but they help reveal the limits of algorithms. ..
Mathematicians can often figure out what happens as quantities grow infinitely large. What about when they are just a little big? ..
The machine learning tool is helping physicists with the daunting challenge of analyzing large but nearly empty data sets, like those from neutrino detectors ..
By imbuing enormous vectors with semantic meaning, we can get machines to reason more abstractly—and efficiently—than before. ..
Chemists have long conceptualized tiny machines that could fabricate drugs, plastics, and other polymers that are hard to build with bigger tools. ..
Researchers at the B612 Foundation’s Asteroid Institute developed a new tool for tracking space-rock trajectories—even with limited data. ..