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How Simple Math Can Cover Even the Most Complex Holes
...ago, the amateur mathematician Philip Gibbs, inspired by a blog post from the mathematician John Baez, proposed some new pieces to cut off. Working with Baez and another collaborator, he...
The Year in Math and Computer Science
...pages of mathematical machinery describing how to translate modern math into the language of category theory. More recently, other mathematicians have begun establishing the foundational principles of a field with...
Mathematician Proves Huge Result on ‘Dangerous’ Problem
Mathematicians regard the Collatz conjecture as a quagmire and warn each other to stay away. But now Terence Tao has made more progress than anyone in decades. Experienced mathematicians warn...
Does Natural Law Need Elegant Mathematics?
...Effectiveness of Mathematics in the Natural Sciences,” in which the Nobel Prize-winning physicist discusses how elegant mathematics has been “unreasonably” successful in explaining physical law. Wigner further states: “The miracle...
Mathematicians Catch a Pattern by Figuring Out How to Avoid It
We finally know how big a set of numbers can get before it has to contain a pattern known as a “polynomial progression.” Some mathematical patterns are so subtle you...
The Architect of Modern Algorithms
...a blank page. Liskov, who had studied mathematics as an undergraduate at the University of California, Berkeley, wanted to approach programming not as a technical problem, but as a mathematical...
Hologram Within a Hologram Hints at Fate of Black Holes
...so — or where Hawking’s math went wrong. The latest paper, posted online in late August, went further, offering a new way to think about Hawking’s math. Holographers usually walk...
Neutrinos Lead to Unexpected Discovery in Basic Math
...of mathematics,” posted a paper online reporting the new formula. Their paper is now under review by Communications in Mathematical Physics. In a separate paper submitted to the Journal of...
Mathematicians Calculate How Randomness Creeps In
...of the mathematical understanding of randomness. “They’re in this sweet spot where we can still analyze them, [yet] they describe many phenomena of interest,” said Yuval Peres, a mathematician who’s...