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Machine Learning Gets a Quantum Speedup
...than a classical computer. And getting quantum computers to outlearn traditional machines means finding AI problems that boil down to mathematical operations congruous with quantum physics. “Rather than forcefully trying...
How Infinite Series Reveal the Unity of Mathematics
Infinite sums are among the most underrated yet powerful concepts in mathematics, capable of linking concepts across math’s vast web. For sheer brilliance, it was hard to beat John von...
Mathematicians Clear Hurdle in Quest to Decode Primes
...it works.) In the years since Riemann proposed it, the Riemann hypothesis has instigated many advances in mathematics, though mathematicians have made little progress on the question itself. Given that...
Mathematicians Outwit Hidden Number Conspiracy
Decades ago, a mathematician posed a warmup problem for some of the most difficult questions about prime numbers. It turned out to be just as difficult to solve, until now....
The Year in Math and Computer Science
...in mathematics, the Riemann hypothesis, in an essay and video. Expanding Mathematical Bridges Often, a great mathematical advance not only answers a major question, but also provides a new...
2021’s Biggest Breakthroughs in Math and Computer Science
...answer about the nature of infinity. And a mathematician finally managed to model quantum gravity. Emily Buder/Quanta Magazine; Adrian Vasquez de Velasco for Quanta Magazine; Myriam Wares for Quanta Magazine...
Why e, the Transcendental Math Constant, Is Just the Best
...Neumann’s mathematical writing that it is important when reading math to follow the tune of the conceptual argument — the equations are merely the “orchestration down in the bass.” Now...
What Hot Dogs Can Teach Us About Number Theory
The Chinese remainder theorem is an ancient and powerful extension of the simple math of least common multiples. If you’ve ever had to buy hot dogs for a cookout, you...
The Mathematician Who Delights in Building Bridges
...her experiences in mathematics and her work on the Langlands program, which has been described as a way to create a “grand unified theory of mathematics.” The interview has been...