During the 18th century the denizens of the Prussian city of Königsberg wrestled with a puzzle: How could they find a walking path through the city that crossed each of its storied seven bridges exactly once? The bridges spanned a river containing two large islands. No matter how much they strategized their routes, they couldn’t… Continue reading How the Seven Bridges of Königsberg Spawned New Math
Category: Quantum Stuff
‘Sensational’ Proof Delivers New Insights Into Prime Numbers
Sometimes mathematicians try to tackle a problem head on, and sometimes they come at it sideways. That’s especially true when the mathematical stakes are high, as with the Riemann hypothesis, whose solution comes with a $1 million reward from the Clay Mathematics Institute. Its proof would give mathematicians much deeper certainty about how prime numbers… Continue reading ‘Sensational’ Proof Delivers New Insights Into Prime Numbers
People who had tiny plastic particles lodged in a key blood vessel were more likely to experience serious health problems or die during a three-year study
Microplastics Linked to Heart Attack, Stroke and Death People who had tiny plastic particles lodged in a key blood vessel were more likely to experience serious health problems or die during a three-year study By Max Kozlov & Nature magazine Khanchit Khirisutchalual/Getty Images Plastics are just about everywhere — food packaging, tyres, clothes, water pipes.… Continue reading People who had tiny plastic particles lodged in a key blood vessel were more likely to experience serious health problems or die during a three-year study
What Could Explain the Gallium Anomaly?
The gallium anomaly, however, would point toward a lighter-weight sterile neutrino, with the electron neutrinos emitted by the radioactive source sometimes oscillating into a sterile neutrino that wouldn’t interact with the gallium. In some models, lightweight sterile neutrinos could comprise a fraction of the universe’s dark matter, though not all of it because they would… Continue reading What Could Explain the Gallium Anomaly?
What Is Machine Learning? | Quanta Magazine
By now, many people think they know what machine learning is: You “feed” computers a bunch of “training data” so that they “learn” to do things without our having to specify exactly how. But computers aren’t dogs, data isn’t kibble, and that previous sentence has way too many air quotes. What does that stuff really… Continue reading What Is Machine Learning? | Quanta Magazine
How America’s Fastest Swimmers Use Math to Win Gold
Except in my case, it really is a digital twin. It looks like an EKG, going tch, tch, tch, and it’s developed based on the data I’ve captured about an athlete’s movements. I can model how they will race under different conditions. Over the last seven or eight years, I’ve collected thousands of swims from… Continue reading How America’s Fastest Swimmers Use Math to Win Gold
A Double Emergence of Periodical Cicadas Isn’t Cicada-geddon—It’s a Marvel
Late spring and early summer in the forests of the eastern half of the U.S. have been eerily quiet for the past two years. In most years, long-lived periodical cicadas thrum through the region, but a quirk of timing means these insects have been sparse since 2021. This year, though, they’re roaring back. That’s because… Continue reading A Double Emergence of Periodical Cicadas Isn’t Cicada-geddon—It’s a Marvel
Sunlight-Dimming Climate Schemes Need Worldwide Oversight
Sunlight-Dimming Climate Schemes Need Worldwide Oversight As the climate crisis intensifies, experiments to “cool the planet” by reflecting solar radiation proliferate. Without proper global and national regulation, they will worsen the crisis By Chandra Bhushan & Tarun Gopalakrishnan NASA/SDO/AIA/Goddard Space Flight Center Deliberately reflecting sunlight into space to cool the planet—solar radiation modification (SRM)—is now… Continue reading Sunlight-Dimming Climate Schemes Need Worldwide Oversight
Tracing the Hidden Hand of Magnetism in the Galaxy
When were you first drawn to learning about it? I don’t think that was from some deep-seated, lifelong need to study magnetism, but it grabbed me in grad school as an area of astrophysics that is not well understood and is avoided for its complexity. For astrophysics in general, I did a National Science Foundation… Continue reading Tracing the Hidden Hand of Magnetism in the Galaxy
Amateur Mathematicians Find Fifth ‘Busy Beaver’ Turing Machine
One memorable encounter occurred while Ligocki was visiting Germany the summer after his sophomore year, when he took a side trip to Berlin to meet up with Marxen. “We got through the language barrier through the medium of busy beavers,” he said. The medium of beer also helped. Ligocki ended up having too many and… Continue reading Amateur Mathematicians Find Fifth ‘Busy Beaver’ Turing Machine