Foams were once thought to behave like glass, with bubbles frozen in place at the microscopic level. But new simulations ...
You trained deeply in Indian classical music. Few people expect that journey to lead to math education. When did you first ...
What do you get when you mix fire's power, electricity's reach, math's precision, and language's connection? AI—humanity's ...
Morning Overview on MSN
Ramanujan’s π equations are helping physicists decode nature
More than a century after Srinivasa Ramanujan scribbled his astonishing formulas for π in notebooks in India and England, physicists are finding that those same equations describe how nature behaves ...
Halafian pottery shows that early agricultural societies practiced advanced mathematical thinking through plant-based art long before writing.
The world's oldest known botanical art, from the Halafian culture of northern Mesopotamia around 6000 BCE, hides fascinating cultural shifts in its seemingly simple motifs, a new study reveals. The ...
For decades, researchers have primarily treated Ramanujan’s formulas as tools for efficient calculation. Powerful computers can now use similar methods to compute pi to trillions of digits.
When a vase crashes to the floor, it seems like pure chaos—shards of every size flying across the tiles. But one physicist says that beneath this apparent randomness hides a remarkable mathematical ...
One innate (perhaps underappreciated) function of physics is to explain and generalize how stuff works in the real world. And it appears such endeavors are possible, even for something as random as ...
Claude shows limited introspective abilities, Anthropic said. The study used a method called "concept injection." It could have big implications for interpretability research. One of the most profound ...
Here’s what you’ll learn when you read this story: The majority of plants have leaves, petals and seed structures in spirals that follow the Fibonacci sequence, meaning each sequence is the sum of the ...
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