P vs. NP asks: are these two classes actually the same? If P = NP, then every “hard” problem is secretly fast to solve; we ...

Little progress had been made in solving Ramsey problems since the 1930s. Now, researchers have found the answer to r(4,t), a longstanding Ramsey problem that has perplexed the math world for decades.

Are refugees more likely to commit crime? Is the ‘loneliness epidemic’ real? Does a fall in the UK's healthy life expectancy mean what you think it means? The known unknowns of Ebola in the Democratic ...

The design of short LAM-PCR amplicons that do not exceed several hundred base pairs is critical for the efficiency of each analysis. Amplicons should be long enough to be resolved by electropheresis ...

An inherent principle of publication is that others should be able to replicate and build upon the authors' published claims. A condition of publication in a Nature Portfolio journal is that authors ...