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? ..
By imbuing enormous vectors with semantic meaning, we can get machines to reason more abstractly—and efficiently—than before. ..
Maintenance of FORM, the 1980s software that’s used for the field's hardest calculations, rests almost entirely with one septuagenarian physicist. ..
For more than 250 years, mathematicians have wondered if the Euler equations might sometimes fail to describe a fluid’s flow. Now there’s a breakthrough. ..
Audiology screening can be inaccessible for kids in low-resource areas. By utilizing off-the-shelf products, these scientists are trying to change that. ..
Field research uncovers clues about the beetles’ coordinated blinking and confirms that a novel form of “chimeric” synchrony occurs naturally. ..
A team of physicists has entangled three photons over a considerable distance, which could lead to more powerful quantum cryptography. ..
The result could help researchers answer a larger question about flattening objects from the fourth dimension to the third dimension. ..
The most widely used technique for optimizing values of a math function turns out to be a fundamentally difficult computational problem. ..