How can you have a proof without proving anything? Mathematicians found a way and, in the process, came to blows over it – ...
Last week, I introduced Emmy Noether, an extraordinary figure in the fields of mathematics and physics. To understand Noether ...
Some of the hardest questions in cosmology begin where the usual math gives up. Push Einstein’s theory far enough back toward the Big Bang, and the equations run into a singularity, a point where ...
The SpaceX IPO has renewed debate over dual-class share structures, which give founders outsized voting power. Yale SOM’s Jeffrey Sonnenfeld and co-author Steven Tian argue that these structures can ...
How Emmy Noether's theorem uses the Lagrangian to provide a formula for calculating the quantity of symmetries in a ...
Raindrops form inside clouds when tiny particles of water collide and stick together, forming larger droplets that eventually ...
Using artificial intelligence to generate catchy lyrics and music, a Florida State University chemist created a playlist of ...
In this video, we provide essential "math help" by demonstrating how to "solve for x" in complex "logarithmic equations". This "math tutorial" applies various "logarithms" and "log rules" to simplify ...
Large language models can write essays, solve math problems, and generate computer code, but it’s not fully understood how ...
Integrating case counts with genomic sequences quantifies real-time transmission advantages of viral variants.
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Physicists develop the first working model of quantum mechanics using only 'real' numbers
Physicists have built a real-number version of quantum mechanics that makes all the same predictions as the standard theory, ...
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