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Math Reveals the Secrets of Cells’ Feedback Circuitry
...is backed by a mathematical proof that no simpler answer exists — a good indication that natural feedback systems probably work the same way. Long before biologists figured out how...
Landmark Computer Science Proof Cascades Through Physics and Math
...how to mathematically model entanglement, and a related problem in pure mathematics called the Connes embedding conjecture. In the end, the results cascaded like dominoes. “The ideas all came from...
What Goes On in a Proton? Quark Math Still Conflicts With Experiments.
...their theory predicts and thus less able to interpret signs of new, unpredicted particles or effects. To understand what makes quarks and gluons such mathematical scofflaws, consider how much mathematical...
To Win This Numbers Game, Learn to Avoid Math Patterns
Sizing up patternless sets is hard, so mathematicians rely on simple bounds to help answer their questions. Here’s a simple number game to play on a rainy day, or while...
The Year in Math and Computer Science
Even as mathematicians and computer scientists proved big results in computational complexity, number theory and geometry, computers proved themselves increasingly indispensable in mathematics. For mathematicians and computer scientists, 2020 was...
Pioneers Linking Math and Computer Science Win the Abel Prize
...teenager he earned three gold medals at the International Math Olympiad and also triumphed in a Hungarian game show that put math prodigies inside glass isolation booths and challenged them...
Proof Assistant Makes Jump to Big-League Math
Mathematicians using the computer program Lean have verified the accuracy of a difficult theorem at the cutting edge of research mathematics. Computer proof assistants have been an intriguing subplot in...
The Deep Link Equating Math Proofs and Computer Programs
...1934, the mathematician and logician Haskell Curry noticed a similarity between functions in mathematics and the implication relationship in logic, which takes the form of “if-then” statements between two propositions....
Pierre de Fermat’s Link to a High School Student’s Prime Math Proof
How Fermat’s less famous “little theorem” got mathematicians young and old to play with prime-like Carmichael numbers. Like many math students, I had dreams of mathematical greatness. I thought I...