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Why the Proof of Fermat’s Last Theorem Doesn’t Need to Be Enhanced
Decades after the landmark proof of Fermat’s Last Theorem, ideas abound for how to make it even more reliable. But such efforts reflect a deep misunderstanding of what makes the proof so important.
Computer Scientists Expand the Frontier of Verifiable Knowledge
The universe of problems that a computer can check has grown. The researchers’ secret ingredient? Quantum entanglement.
How Geometry, Data and Neighbors Predict Your Favorite Movies
A little high school geometry can help you understand the basic math behind movie recommendation engines.
The Hidden Heroines of Chaos
Two women programmers played a pivotal role in the birth of chaos theory. Their previously untold story illustrates the changing status of computation in science.
Solution: ‘The Bulldogs That Bulldogs Fight’
To minimize brain strain when thinking recursively, start simply, look for a pattern and let the pattern do the work.
Out of a Magic Math Function, One Solution to Rule Them All
Mathematicians used “magic functions” to prove that two highly symmetric lattices solve a myriad of problems in eight- and 24-dimensional space.
The Subtle Art of the Mathematical Conjecture
It’s an educated guess, not a proof. But a good conjecture will guide math forward, pointing the way into the mathematical unknown.
Universal Pattern Explains Why Materials Conduct
Mathematicians have found that materials conduct electricity when electrons follow a universal mathematical pattern.
A New Approach to Multiplication Opens the Door to Better Quantum Computers
Quantum computers can’t selectively forget information. A new algorithm for multiplication shows a way around that problem.