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Originally devised as a rigorous means of counting holes, homology provides a scaffolding for mathematical ideas, allowing for a new way to analyze the shapes within data.
The thorny thought experiment has been turned into a real experiment — one that physicists use to probe the physics of information.
Despite finding no specific examples, researchers have proved the existence of a pervasive kind of prime number so delicate that changing any of its infinite digits renders it composite.
A recent paper set the fastest record for multiplying two matrices. But it also marks the end of the line for a method researchers have relied on for decades to make improvements.
Researchers are tracking the different strains of SARS-CoV-2 and studying how they spread through our population and our bodies.
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