Some scientific discoveries matter because they reveal something new — the double helical structure of DNA, for example, or the existence of black holes. However, some revelations are profound because they show that two old concepts, once thought distinct, are in fact the same. Take James Clerk Maxwell’s equations showing that electricity and magnetism are… Continue reading The Deep Link Equating Math Proofs and Computer Programs
Echoes of Electromagnetism Found in Number Theory
Pairings like that between automorphic forms and Galois groups are called dualities. They suggest that different classes of objects mirror each other, which allows mathematicians to study either one in terms of the other. Generations of mathematicians have worked to prove the existence of Langlands’ hypothesized duality. Though they have only managed to establish it… Continue reading Echoes of Electromagnetism Found in Number Theory
Secret Origin of the Mystery Airships! (Phantom Airships, Ghost Airships, UFOs, 1896, 1897)
Podcast: Download MYS280: In 1896 and 1897, Mystery Airships were reported from California to the Mississippi, which some believed were alien ships. Jimmy Akin and Dom Bettinelli eliminated many theories about the airships, and now address the final mystery: what were the airships, who made them, and was the government involved? Get all new episodes… Continue reading Secret Origin of the Mystery Airships! (Phantom Airships, Ghost Airships, UFOs, 1896, 1897)
In the Milky Way’s Stars, a History of Violence
With the cleaving of the cosmos into a home galaxy and a larger universe, the study of our finite home — and how it exists within that universe — could begin in earnest. Now, a century later, astronomers are still making unexpected discoveries about the only cosmic island we’ll ever inhabit. They may be able… Continue reading In the Milky Way’s Stars, a History of Violence
As Families Take to Charter Schools, Cities and Their Teacher Unions Throw Up Obstacles
Families are voting with their feet to charter schools, which are increasingly resisted by school boards and teacher unions. Diana Diaz-Harrison, above, started a charter in Arizona to fill a gap: no specialized services for children like her autistic son Sammy. By Vince Bielski, RealClearInvestigationsOctober 11, 2023 A vote by the Los Angeles board of… Continue reading As Families Take to Charter Schools, Cities and Their Teacher Unions Throw Up Obstacles
Are Naps Good for You?
It’s midafternoon. You’re full from lunch. The day is warm. You’re starting to feel drowsy. Should you give in to the comfort of a nap? From a health perspective, it may be worth it. Though there is some debate over whether napping benefits everyone, research suggests naps can boost at least some people’s cognitive performance… Continue reading Are Naps Good for You?
Anatomy of a Random, Unhinged Assault in Portland, City of Professed Benevolence
Above, a snapshot of fraying Portland: A surveillance image of the at-large suspect in the attack on Dr. Mary Costantino, shown below just afterward. She notes her assailant’s hand splayed in “hypertonic tension,” suggesting a psychotic episode. “I recognize this as a physician a mile away,” she says. By Nancy Rommelmann, RealClearInvestigationsOctober 10, 2023 It… Continue reading Anatomy of a Random, Unhinged Assault in Portland, City of Professed Benevolence
Six Ways to Stay Safe Outdoors in Extreme Heat
The summer sun has been anything but fun for many this year. Brutal temperatures torched records across the U.S. as they peaked globally in July. Relentless heat waves baked the Southwest and rolled into the Midwest and South, occasionally enveloping other regions that are completely unaccustomed to such extremes. Exposure to this kind of heat… Continue reading Six Ways to Stay Safe Outdoors in Extreme Heat
Hiroshima’s Anniversary Marks an Injustice Done to Blast Survivors
On August 6, 1945, the U.S. used an atomic bomb for the first time in history, against the city of Hiroshima. The U.S. dropped another atomic bomb on Nagasaki three days later. Experts estimate that the two bombs instantly killed more than 100,000 people. The movie Oppenheimer has rightly received critical acclaim as a masterful… Continue reading Hiroshima’s Anniversary Marks an Injustice Done to Blast Survivors
How Simple Math Moves the Needle
Imagine you’re rolling down the street in a driverless car when you see a problem ahead. An Amazon delivery driver got their van halfway past a double-parked UPS truck before realizing they couldn’t make it through. Now they’re stuck. And so are you. The street is too narrow to pull off a U-ey, so your… Continue reading How Simple Math Moves the Needle