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What Is the Fourier Transform?
Amid the chaos of revolutionary France, one man’s mathematical obsession gave way to a calculation that now underpins much of mathematics and physics. The calculation, called the Fourier transform, decomposes...
The End of Theoretical Physics as We Know It
...With quantum simulations, the mathematical model is of secondary relevance. We currently use the math to identify a suitable system because the math tells us what properties we should look...
Scientists Discover Exotic New Patterns of Synchronization
...crickets inspired the American theoretical biologist Art Winfree to propose a mathematical model of synchronization. Winfree’s equation was too difficult to solve, but in 1974, a Japanese physicist named Yoshiki...
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...
Cosmic Triangles Open a Window to the Origin of Time
...have a different menu of cosmological correlations.” Those are additional calculations to pursue with the new mathematical tools. But the researchers are also continuing to explore the math itself. Arkani-Hamed...
Brian Keating’s Quest for the Origin of the Universe
...to build a tiny (equals cheap) telescope to detect this pattern of the aftershocks, the gravitational aftermath of inflation. Strogatz: The BICEP2 team thought that it saw a fantastically strong...
Computer Scientists Attempt to Corner the Collatz Conjecture
...technique called SAT solving (where SAT stands for “satisfiability”) to conquer an impressive list of math problems: The Pythagorean triples problem in 2016, Schur number 5 in 2017 and now...
New Algorithm Breaks Speed Limit for Solving Linear Equations
By harnessing randomness, a new algorithm achieves a fundamentally novel — and faster — way of performing one of the most basic computations in math and computer science. Grade school...
The Scientist Who Developed a New Way to Understand Communication
...like a nail. Mark developed and knows a theory of computer science — and it’s a pretty big hammer.” A Mathematical Miracle The son of a mathematician mother and a...