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How Shannon Entropy Imposes Fundamental Limits on Communication
What’s a message, really? Claude Shannon recognized that the elemental ingredient is surprise.
The Spooky Quantum Phenomenon You’ve Never Heard Of
Quantum computers may derive their power from the “magical” way that properties of particles change depending on the context.
How Computer Scientists Learned to Reinvent the Proof
Why verify every line of a proof, when just a few checks will do?
Why ‘De-Extinction’ Is Impossible (But Could Work Anyway)
Several projects are aiming to bring back mammoths and other species that have vanished from the planet. Whether that’s technically possible is beside the point.
What Happens When We Give Animals Our Diseases?
While it’s understandable to focus on the diseases affecting humans, it’s important to study how our illnesses may affect animals.
Which Computational Universe Do We Live In?
Cryptographers want to know which of five possible worlds we inhabit, which will reveal whether truly secure cryptography is even possible.
Machine Learning Reimagines the Building Blocks of Computing
Traditional algorithms power complicated computational tools like machine learning. A new approach, called algorithms with predictions, uses the power of machine learning to improve algorithms.
An Ancient Geometry Problem Falls to New Mathematical Techniques
Three mathematicians show, for the first time, how to form a square with the same area as a circle by cutting them into interchangeable pieces that can be visualized.
How the Physics of Resonance Shapes Reality
The same phenomenon by which an opera singer can shatter a wineglass also underlies the very existence of subatomic particles.