OpenAI claims its new reasoning model has produced an original mathematical proof disproving a famous unsolved conjecture in geometry, which was first posed by Paul Erdős in 1946. If this sounds ...

Composed of five or more elements in nearly equal amounts, high-entropy alloys (HEAs) have emerged as promising catalysts due to their compositionally complex surfaces that can accelerate chemical ...

Now, a study led by Northwestern University professors Chad A. Mirkin and Christopher M. Wolverton has solved that problem. A new three-component synthesis strategy enables simultaneous control over ...

The University of Wyoming's Lauren Kim has solved a persistent problem in the cutting-edge field of high-entropy alloys, a class of materials with great potential in modern engineering, electronics ...

Five years ago, mathematicians Dawei Chen and Quentin Gendron were trying to untangle a difficult area of algebraic geometry involving differentials, elements of calculus used to measure distance ...

A new theory suggests that gravity could possibly be the result of entropy. If true, this would mean that everything in the universe would fall apart if it all remained unchanged. This theory tries to ...

Abstract: This letter presents a conditional entropy-constrained multi-stage vector quantization (CEC-MSVQ) framework for semantic communication (SC). The proposed method integrates multi-stage VQ ...

Imagine you’re standing in front of a closed door. Behind it is a teenager’s bedroom, and your task is to rate how messy it is on a scale of 1 to 10. But here’s the twist: you can’t open the door – ...

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Entropy is a key ingredient that you'll need to get the True Ending of Hades 2. Specifically, you'll need it for one of the Incantations you will perform to truly finish off your greatest foe, Chronos ...