An Old Conjecture Falls, Making Spheres a Lot More Complicated

“I had heard rumors that this was coming up, and I didn’t know exactly what to expect,” said Vesna Stojanoska, a mathematician at the University of Illinois, Urbana-Champaign who attended the conference. It was soon clear the rumors were true. Beginning on Tuesday, and over the next three days, Levy and his co-authors — Robert… Continue reading An Old Conjecture Falls, Making Spheres a Lot More Complicated

The Mysterious Origins of ‘X’ in Algebra

The following essay is reprinted with permission from The Conversation, an online publication covering the latest research. Even though x is one of the least-used letters in the English alphabet, it appears throughout American culture – from Stan Lee’s X-Men superheroes to “The X-Files” TV series. The letter x often symbolizes something unknown, with an air of mystery that… Continue reading The Mysterious Origins of ‘X’ in Algebra

Exoplanets Could Help Us Learn How Planets Make Magnetism

For decades, astronomers have been perplexed by planetary magnetic fields. In our own solar system, there is no rule that explains which worlds generate these magnetic sheaths: Earth, for example, has one, but its sister world — Venus — does not. Astronomers suspect that one of the best ways to understand the mysteries of magnetism might be… Continue reading Exoplanets Could Help Us Learn How Planets Make Magnetism

Most Americans Support NASA—But Don’t Think It Should Prioritize Sending People To Space

The following essay is reprinted with permission from The Conversation, an online publication covering the latest research. Most Americans (69%) believe it is essential that the United States continue to be a world leader in space. But only a subsection of that group believes NASA should prioritize sending people to the Moon, according to a new… Continue reading Most Americans Support NASA—But Don’t Think It Should Prioritize Sending People To Space

The Gambling Strategy That’s Guaranteed to Make Money and Why You Should Never Use It

Beneath the varnish of flashing lights and free cocktails, casinos stand on a bedrock of mathematics, engineered to slowly bleed their patrons of cash. For years, mathematically inclined minds have tried to turn the tables by harnessing their knowledge of probability and game theory to exploit weaknesses in a rigged system. An amusing example played… Continue reading The Gambling Strategy That’s Guaranteed to Make Money and Why You Should Never Use It

Even Synthetic Life Forms With a Tiny Genome Can Evolve

The new evolution experiments are starting to provide insights into how the smallest, simplest organisms might evolve — and how principles of evolution unite all forms of life, even genetic novelties developed in labs. “Increasingly, we are seeing evidence that this [minimal cell] is an organism that is not something bizarro and unlike the rest… Continue reading Even Synthetic Life Forms With a Tiny Genome Can Evolve

Two Students Unravel a Widely Believed Math Conjecture

They looked exactly as expected: a wall of white, peppered with black specks for smaller integers. “We expected the black dots to peter out,” Stange said. Rickards added, “I thought maybe it would even be possible to prove they peter out.” He speculated that by looking at charts that synthesized many packings together, the team… Continue reading Two Students Unravel a Widely Believed Math Conjecture

Muon Mystery Deepens with Latest Measurements

Muons continue to confound physicists. These unstable subatomic particles are much like familiar electrons, only with 200 times the mass and a fleeting lifetime of just 2.2 microseconds. Unlike electrons, however, muons are at the center of a tangled inquiry into the prevailing theory of particle physics. For decades, physicists have puzzled over tantalizing hints… Continue reading Muon Mystery Deepens with Latest Measurements

Maui’s Deadly Wildfires Are a Reminder of Growing Risks

The following essay is reprinted with permission from The Conversation, an online publication covering the latest research. Wildfires, pushed by powerful winds, raced through Lahaina, Hawaii, on Aug. 8 and 9, 2023, leaving a charred and smoldering landscape across the tourist town of about 13,000 residents that was once the capital of the Kingdom of Hawaii. At least 36… Continue reading Maui’s Deadly Wildfires Are a Reminder of Growing Risks

Risky Giant Steps Can Solve Optimization Problems Faster

“It turns out that we did not have full understanding” of the theory behind gradient descent, said Shuvomoy Das Gupta, an optimization researcher at the Massachusetts Institute of Technology. Now, he said, we’re “closer to understanding what gradient descent is doing.” The technique itself is deceptively simple. It uses something called a cost function, which… Continue reading Risky Giant Steps Can Solve Optimization Problems Faster