We construct a pure state on the C*-algebra B(ℓ2) of all bounded linear operators on ℓ2, which is not diagonalizable [i.e., it is not of the form limu⟨T(ek),ek⟩ for any orthonormal basis (ek)k∈N of ℓ2 and an ultrafilter u on N]. This constitutes a counterexample to Anderson’s conjecture without additional...<img src="http://feeds.feedburner.com/~r/Pnas-RssFeedOfEarlyEditionArticles/~4/UbiETRMh2uw"...

Duchenne muscular dystrophy (DMD) is an X chromosome-linked disease, and it is the most common form of muscular dystrophy caused by genetic mutations in the Dmd gene (1). The Dmd gene contains 79 exons, spans 2.4 Mb, and is the single largest gene in the human genome (2). This gene...<img src="http://feeds.feedburner.com/~r/Pnas-RssFeedOfEarlyEditionArticles/~4/kIObLL3rpHo"...

There is considerable support for the hypothesis that perception of heading in the presence of rotation is mediated by instantaneous optic flow. This hypothesis, however, has never been tested. We introduce a method, termed “nonvarying phase motion,” for generating a stimulus that conveys a single instantaneous optic flow field, even...<img src="http://feeds.feedburner.com/~r/Pnas-RssFeedOfEarlyEditionArticles/~4/Ql4O1BI8ssY"...

Spike-timing–dependent plasticity (STDP) is considered as a primary mechanism underlying formation of new memories during learning. Despite the growing interest in activity-dependent plasticity, it is still unclear whether synaptic plasticity rules inferred from in vitro experiments are correct in physiological conditions. The abnormally high calcium...

Biological membranes can dramatically accelerate the aggregation of normally soluble protein molecules into amyloid fibrils and alter the fibril morphologies, yet the molecular mechanisms through which this accelerated nucleation takes place are not yet understood. Here, we develop a coarse-grained model to systematically explore the effect that the...

Best-subset selection aims to find a small subset of predictors, so that the resulting linear model is expected to have the most desirable prediction accuracy. It is not only important and imperative in regression analysis but also has far-reaching applications in every facet of research, including computer science and medicine....<img src="http://feeds.feedburner.com/~r/Pnas-RssFeedOfEarlyEditionArticles/~4/Lvab95eNwpw"...