Two weeks ago, a modest-looking paper was uploaded to the arXiv preprint server with the unassuming title “On the invariant subspace problem in Hilbert spaces”. The paper is just 13 pages long and its ...

Despite the fact that no invariant acoustic property corresponds to a single stop consonant coupled with different vowels (e.g., [da], [de], and [du]), adults effortlessly identify the same consonant ...

This is a preview. Log in through your library . Abstract This paper studies the invariant structure of the one-sided testing problem μ = 0 vs μ ≥ 0 in Np(μ, Σ) and it is shown that the requirement of ...

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Relax. Until recently, lurking in the dark recesses of mathematical existence, there might have been a really weird sphere of 254 dimensions, or 510, or 1,022.* In fact, for all you knew, you might ...

A team of three has solved a 45-year-old problem in the mathematics of topology. The Kervaire invariant problem is "one of the major outstanding problems in algebraic and geometric topology" says ...