~quanta-magazine | Bookmarks (40)

What do the integers have in common with the symmetries of a triangle? In the 19th century, mathematicians invented groups as an answer to this question. The post ‘Groups’ Underpin Modern Math. Here’s How They Work. first appeared on Quanta Magazine

The mathematician Daniel Litt has driven social media users to distraction with a series of simple-seeming but counterintuitive probability puzzles. The post Perplexing the Web, One Probability Puzzle at a Time first appeared on Quanta Magazine

While devising a new quantum algorithm, four researchers accidentally established a hard limit on entanglement. The post Computer Scientists Prove That Heat Destroys Quantum Entanglement first appeared on Quanta Magazine

Like a highway system, the vagus nerve branches profusely from your brain through your organs to marshal bodily functions, including aspects of mind such as mood, pleasure and fear. The post How Our Longest Nerve Orchestrates the Mind-Body Connection first appeared on Quanta Magazine

Proteins are often visualized as cascades of curled ribbons and twisted strings, which both reveal and conceal the mess of atoms that make up these impossibly complex molecules. The post How Colorful Ribbon Diagrams Became the Face of Proteins first appeared on Quanta Magazine

For decades, extremal black holes were considered mathematically impossible. A new proof reveals otherwise. The post Mathematicians Prove Hawking Wrong About the Most Extreme Black Holes first appeared on Quanta Magazine

The largest-ever 3D map of the cosmos hints that the dark energy that’s fueling the universe’s expansion may be weakening. One community of theoretical physicists expected as much. The post Diminishing Dark Energy May Evade the ‘Swampland’ of Impossible Universes first appeared on Quanta Magazine

Today’s AI largely lives in computers, but acting and reacting in the real world — that’s the realm of robots. In this week’s episode, co-host Steven Strogatz talks with pioneering roboticist Daniela Rus about creativity, collaboration, and the unusual forms robots of the future might take. The post Are Robots About to Level Up? first appeared on Quanta Magazine

A long-awaited study of the cosmic expansion rate suggests that when it comes to the Hubble tension, cosmologists are still missing something. The post The Webb Telescope Further Deepens the Biggest Controversy in Cosmology first appeared on Quanta Magazine

A new proof marks the first progress in decades on a problem about how order emerges from disorder. The post Grad Students Find Inevitable Patterns in Big Sets of Numbers first appeared on Quanta Magazine

You don’t need 0s and 1s to perform computations, and in some cases it’s better to avoid them. The post What Is Analog Computing? first appeared on Quanta Magazine

Neuroscience research into people with aphantasia, who don’t experience mental imagery, is revealing how imagination works and demonstrating the sweeping variety in our subjective experiences. The post What Happens in a Mind That Can’t ‘See’ Mental Images first appeared on Quanta Magazine

Cryptography is the thread that connects Julius Caesar, World War II and quantum computing, and it now lies under nearly every part of modern life. In this week’s episode, computer scientist Boaz Barak and co-host Janna Levin discuss the past and future of secrecy. The post How Does Math Keep Secrets? first appeared on Quanta Magazine

Experiments that test physics and philosophy "as a single whole" may be our only route to surefire knowledge about the universe. The post ‘Metaphysical Experiments’ Probe Our Hidden Assumptions About Reality first appeared on Quanta Magazine

In work that has been 30 years in the making, mathematicians have proved a major part of a profound mathematical vision called the Langlands program. The post Monumental Proof Settles Geometric Langlands Conjecture first appeared on Quanta Magazine

These metaphorical gardens have become central objects in modern mathematics. The post What Are Sheaves? first appeared on Quanta Magazine

Common sense has been viewed as one of the hardest challenges in AI. That said, ChatGPT4 has acquired what some believe is an impressive sense of humanity. How is this possible? Listen to this week’s “The Joy of Why” with co-host Steven Strogatz. The post Will AI Ever Have Common Sense? first appeared on Quanta Magazine

At sea, biologists discovered microbial partners that together produce nitrogen, a nutrient essential for life. The pair are in the process of merging into a single organism. The post Tight-Knit Microbes Live Together to Make a Vital Nutrient first appeared on Quanta Magazine

The proof creates stricter limits on potential exceptions to the famous Riemann hypothesis. The post ‘Sensational’ Proof Delivers New Insights Into Prime Numbers first appeared on Quanta Magazine

Physicists have ruled out a mundane explanation for the strange findings of an old Soviet experiment, leaving open the possibility that the results point to a new fundamental particle. The post What Could Explain the Gallium Anomaly? first appeared on Quanta Magazine

Number theorist Ken Ono is teaching Olympians to swim more efficiently. The post How America’s Fastest Swimmers Use Math to Win Gold first appeared on Quanta Magazine

Neural networks and other forms of machine learning ultimately learn by trial and error, one improvement at a time. The post What Is Machine Learning? first appeared on Quanta Magazine

If you cover a surface with tiles, repetitive patterns always emerge — or do they? In this week’s episode, mathematician Natalie Priebe Frank and co-host Janna Levin discuss how recent breakthroughs in tiling can unlock structural secrets in the natural world. The post What Can Tiling Patterns Teach Us? first appeared on Quanta Magazine

After decades of uncertainty, a motley team of programmers has proved precisely how complicated simple computer programs can get. The post With Fifth Busy Beaver, Researchers Approach Computation’s Limits first appeared on Quanta Magazine